TSTP Solution File: LAT277-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT277-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:36:35 EDT 2022
% Result : Unsatisfiable 7.50s 1.43s
% Output : Refutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 347
% Syntax : Number of formulae : 567 ( 336 unt; 0 def)
% Number of atoms : 846 ( 142 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 407 ( 128 ~; 109 |; 0 &)
% ( 170 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 236 ( 234 usr; 171 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 42 con; 0-5 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4062,plain,
$false,
inference(avatar_smt_refutation,[],[f2972,f2977,f2982,f2987,f2992,f2997,f3002,f3007,f3012,f3018,f3023,f3028,f3033,f3038,f3043,f3048,f3053,f3058,f3063,f3068,f3073,f3078,f3083,f3088,f3093,f3098,f3103,f3108,f3113,f3118,f3123,f3128,f3133,f3138,f3143,f3148,f3153,f3158,f3165,f3170,f3175,f3180,f3185,f3190,f3195,f3200,f3205,f3210,f3215,f3220,f3225,f3231,f3236,f3241,f3246,f3251,f3256,f3261,f3266,f3272,f3278,f3283,f3289,f3294,f3299,f3304,f3309,f3314,f3319,f3324,f3329,f3334,f3339,f3344,f3349,f3354,f3367,f3373,f3378,f3383,f3389,f3394,f3399,f3405,f3408,f3413,f3418,f3423,f3428,f3434,f3442,f3447,f3452,f3457,f3462,f3467,f3473,f3479,f3484,f3489,f3494,f3495,f3500,f3506,f3511,f3516,f3521,f3526,f3532,f3533,f3538,f3544,f3551,f3556,f3561,f3566,f3571,f3576,f3581,f3590,f3598,f3600,f3605,f3611,f3616,f3622,f3628,f3633,f3640,f3648,f3654,f3659,f3664,f3669,f3674,f3680,f3685,f3693,f3698,f3703,f3708,f3714,f3719,f3728,f3733,f3738,f3744,f3749,f3757,f3764,f3770,f3771,f3778,f3783,f3788,f3790,f3797,f3802,f3810,f3815,f3820,f3825,f3830,f3861,f3867,f3873,f3930,f3951,f3957,f3966,f3973,f3981,f3997,f4061]) ).
fof(f4061,plain,
( ~ spl0_142
| spl0_158
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f4060,f3978,f3817,f3725]) ).
fof(f3725,plain,
( spl0_142
<=> c_in(v_x,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f3817,plain,
( spl0_158
<=> c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3978,plain,
( spl0_169
<=> c_Relation_Orefl(v_A,v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f4060,plain,
( ~ c_in(v_x,v_A,t_a)
| spl0_158
| ~ spl0_169 ),
inference(resolution,[],[f3992,f3819]) ).
fof(f3819,plain,
( ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_158 ),
inference(avatar_component_clause,[],[f3817]) ).
fof(f3992,plain,
( ! [X0] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a) )
| ~ spl0_169 ),
inference(resolution,[],[f2737,f3980]) ).
fof(f3980,plain,
( c_Relation_Orefl(v_A,v_r,t_a)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f3978]) ).
fof(f2737,axiom,
! [X3,X27,X15,X20] :
( ~ c_Relation_Orefl(X27,X20,X3)
| c_in(c_Pair(X15,X15,X3,X3),X20,tc_prod(X3,X3))
| ~ c_in(X15,X27,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
fof(f3997,plain,
( ~ spl0_168
| spl0_170
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3993,f3963,f3995,f3970]) ).
fof(f3970,plain,
( spl0_168
<=> c_Relation_Otrans(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3995,plain,
( spl0_170
<=> ! [X0,X1] :
( ~ c_Relation_Orefl(X0,v_r,t_a)
| c_in(c_Tarski_Opotype_Opotype__ext(X0,v_r,X1,t_a,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3963,plain,
( spl0_167
<=> c_Relation_Oantisym(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3993,plain,
( ! [X0,X1] :
( ~ c_Relation_Orefl(X0,v_r,t_a)
| ~ c_Relation_Otrans(v_r,t_a)
| c_in(c_Tarski_Opotype_Opotype__ext(X0,v_r,X1,t_a,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )
| ~ spl0_167 ),
inference(resolution,[],[f3984,f3965]) ).
fof(f3965,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f3963]) ).
fof(f3984,plain,
! [X2,X3,X0,X1] :
( ~ c_Relation_Oantisym(X1,X3)
| ~ c_Relation_Orefl(X0,X1,X3)
| c_in(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| ~ c_Relation_Otrans(X1,X3) ),
inference(forward_demodulation,[],[f3983,f4]) ).
fof(f4,axiom,
! [X2,X3,X1,X8,X4] : c_Tarski_Opotype_Opset(c_Tarski_Opotype_Opotype__ext(X8,X1,X2,X3,X4),X3,X4) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__1_0) ).
fof(f3983,plain,
! [X2,X3,X0,X1] :
( ~ c_Relation_Otrans(X1,X3)
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),X3,tc_Product__Type_Ounit),X1,X3)
| ~ c_Relation_Oantisym(X1,X3)
| c_in(c_Tarski_Opotype_Opotype__ext(X0,X1,X2,X3,tc_Product__Type_Ounit),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
inference(superposition,[],[f2742,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X8,X4] : c_Tarski_Opotype_Oorder(c_Tarski_Opotype_Opotype__ext(X0,X8,X2,X3,X4),X3,X4) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opotype_Oselect__convs__2_0) ).
fof(f2742,axiom,
! [X3,X93] :
( ~ c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3)
| ~ c_Relation_Orefl(c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3)
| ~ c_Relation_Otrans(c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3)
| c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_3) ).
fof(f3981,plain,
( spl0_169
| ~ spl0_51
| ~ spl0_75
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3976,f3822,f3346,f3222,f3978]) ).
fof(f3222,plain,
( spl0_51
<=> c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3346,plain,
( spl0_75
<=> v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f3822,plain,
( spl0_159
<=> v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f3976,plain,
( c_Relation_Orefl(v_A,v_r,t_a)
| ~ spl0_51
| ~ spl0_75
| ~ spl0_159 ),
inference(forward_demodulation,[],[f3975,f3824]) ).
fof(f3824,plain,
( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f3822]) ).
fof(f3975,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ spl0_51
| ~ spl0_75 ),
inference(forward_demodulation,[],[f3974,f3348]) ).
fof(f3348,plain,
( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f3346]) ).
fof(f3974,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_51 ),
inference(resolution,[],[f2739,f3224]) ).
fof(f3224,plain,
( c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f3222]) ).
fof(f2739,axiom,
! [X3,X93] :
( ~ c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f3973,plain,
( spl0_168
| ~ spl0_51
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3968,f3346,f3222,f3970]) ).
fof(f3968,plain,
( c_Relation_Otrans(v_r,t_a)
| ~ spl0_51
| ~ spl0_75 ),
inference(forward_demodulation,[],[f3967,f3348]) ).
fof(f3967,plain,
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_51 ),
inference(resolution,[],[f2741,f3224]) ).
fof(f2741,axiom,
! [X3,X93] :
( ~ c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).
fof(f3966,plain,
( spl0_167
| ~ spl0_51
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3961,f3346,f3222,f3963]) ).
fof(f3961,plain,
( c_Relation_Oantisym(v_r,t_a)
| ~ spl0_51
| ~ spl0_75 ),
inference(forward_demodulation,[],[f3960,f3348]) ).
fof(f3960,plain,
( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_51 ),
inference(resolution,[],[f2740,f3224]) ).
fof(f2740,axiom,
! [X3,X93] :
( ~ c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
fof(f3957,plain,
( spl0_166
| ~ spl0_71
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f3952,f3464,f3326,f3954]) ).
fof(f3954,plain,
( spl0_166
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f3326,plain,
( spl0_71
<=> 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_71])]) ).
fof(f3464,plain,
( spl0_96
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f3952,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_71
| ~ spl0_96 ),
inference(forward_demodulation,[],[f3328,f3466]) ).
fof(f3466,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f3328,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f3951,plain,
( spl0_165
| ~ spl0_12
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f3946,f3296,f3025,f3948]) ).
fof(f3948,plain,
( spl0_165
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f3025,plain,
( spl0_12
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3296,plain,
( spl0_65
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f3946,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_12
| ~ spl0_65 ),
inference(forward_demodulation,[],[f3298,f3027]) ).
fof(f3027,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f3298,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f3296]) ).
fof(f3930,plain,
( spl0_164
| ~ spl0_18
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f3914,f3464,f3055,f3927]) ).
fof(f3927,plain,
( spl0_164
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f3055,plain,
( spl0_18
<=> 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_18])]) ).
fof(f3914,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_18
| ~ spl0_96 ),
inference(backward_demodulation,[],[f3057,f3466]) ).
fof(f3057,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3873,plain,
( spl0_163
| ~ spl0_12
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3868,f3595,f3025,f3870]) ).
fof(f3870,plain,
( spl0_163
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f3595,plain,
( spl0_119
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f3868,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_12
| ~ spl0_119 ),
inference(forward_demodulation,[],[f3597,f3027]) ).
fof(f3597,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f3595]) ).
fof(f3867,plain,
( spl0_162
| ~ spl0_6
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f3862,f3637,f2994,f3864]) ).
fof(f3864,plain,
( spl0_162
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f2994,plain,
( spl0_6
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3637,plain,
( spl0_126
<=> 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_126])]) ).
fof(f3862,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_6
| ~ spl0_126 ),
inference(forward_demodulation,[],[f3639,f2996]) ).
fof(f2996,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f3639,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f3637]) ).
fof(f3861,plain,
( spl0_161
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f3856,f3331,f2994,f3858]) ).
fof(f3858,plain,
( spl0_161
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f3331,plain,
( spl0_72
<=> 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_72])]) ).
fof(f3856,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_6
| ~ spl0_72 ),
inference(forward_demodulation,[],[f3333,f2996]) ).
fof(f3333,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f3830,plain,
spl0_160,
inference(avatar_split_clause,[],[f1808,f3827]) ).
fof(f3827,plain,
( spl0_160
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1808,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3825,plain,
spl0_159,
inference(avatar_split_clause,[],[f2738,f3822]) ).
fof(f2738,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3820,plain,
~ spl0_158,
inference(avatar_split_clause,[],[f2746,f3817]) ).
fof(f2746,axiom,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3815,plain,
spl0_157,
inference(avatar_split_clause,[],[f1726,f3812]) ).
fof(f3812,plain,
( spl0_157
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1726,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3810,plain,
spl0_156,
inference(avatar_split_clause,[],[f1759,f3807]) ).
fof(f3807,plain,
( spl0_156
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3802,plain,
spl0_155,
inference(avatar_split_clause,[],[f1747,f3799]) ).
fof(f3799,plain,
( spl0_155
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1747,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3797,plain,
spl0_154,
inference(avatar_split_clause,[],[f1801,f3794]) ).
fof(f3794,plain,
( spl0_154
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1801,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3790,plain,
~ spl0_135,
inference(avatar_split_clause,[],[f220,f3687]) ).
fof(f3687,plain,
( spl0_135
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f220,axiom,
c_0 != c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3788,plain,
spl0_153,
inference(avatar_split_clause,[],[f528,f3785]) ).
fof(f3785,plain,
( spl0_153
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f528,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3783,plain,
spl0_152,
inference(avatar_split_clause,[],[f527,f3780]) ).
fof(f3780,plain,
( spl0_152
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f527,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3778,plain,
spl0_151,
inference(avatar_split_clause,[],[f1787,f3775]) ).
fof(f3775,plain,
( spl0_151
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1787,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3771,plain,
( ~ spl0_135
| spl0_136 ),
inference(avatar_split_clause,[],[f1245,f3691,f3687]) ).
fof(f3691,plain,
( spl0_136
<=> ! [X3] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1245,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3)
| c_0 != c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3770,plain,
spl0_150,
inference(avatar_split_clause,[],[f1743,f3767]) ).
fof(f3767,plain,
( spl0_150
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1743,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3764,plain,
spl0_149,
inference(avatar_split_clause,[],[f1760,f3761]) ).
fof(f3761,plain,
( spl0_149
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3757,plain,
( spl0_147
| spl0_148 ),
inference(avatar_split_clause,[],[f3750,f3755,f3752]) ).
fof(f3752,plain,
( spl0_147
<=> ! [X35] :
( c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f3755,plain,
( spl0_148
<=> ! [X3] :
( ~ class_Power_Orecpower(X3)
| ~ c_less(c_0,c_0,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3750,plain,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ c_less(c_0,c_0,X3) ),
inference(forward_subsumption_demodulation,[],[f1182,f1162]) ).
fof(f1162,axiom,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f1182,axiom,
! [X3,X35] :
( c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Power_Orecpower(X3)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3749,plain,
spl0_146,
inference(avatar_split_clause,[],[f526,f3746]) ).
fof(f3746,plain,
( spl0_146
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f526,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3744,plain,
spl0_145,
inference(avatar_split_clause,[],[f530,f3741]) ).
fof(f3741,plain,
( spl0_145
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f530,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3738,plain,
spl0_144,
inference(avatar_split_clause,[],[f716,f3735]) ).
fof(f3735,plain,
( spl0_144
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f716,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f3733,plain,
spl0_143,
inference(avatar_split_clause,[],[f1709,f3730]) ).
fof(f3730,plain,
( spl0_143
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1709,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3728,plain,
spl0_142,
inference(avatar_split_clause,[],[f2745,f3725]) ).
fof(f2745,axiom,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3719,plain,
spl0_141,
inference(avatar_split_clause,[],[f1736,f3716]) ).
fof(f3716,plain,
( spl0_141
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1736,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3714,plain,
spl0_140,
inference(avatar_split_clause,[],[f1793,f3711]) ).
fof(f3711,plain,
( spl0_140
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1793,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3708,plain,
spl0_139,
inference(avatar_split_clause,[],[f1748,f3705]) ).
fof(f3705,plain,
( spl0_139
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1748,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3703,plain,
spl0_138,
inference(avatar_split_clause,[],[f533,f3700]) ).
fof(f3700,plain,
( spl0_138
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f533,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3698,plain,
spl0_137,
inference(avatar_split_clause,[],[f1752,f3695]) ).
fof(f3695,plain,
( spl0_137
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1752,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3693,plain,
( ~ spl0_135
| spl0_136 ),
inference(avatar_split_clause,[],[f1348,f3691,f3687]) ).
fof(f1348,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3)
| c_0 != c_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3685,plain,
spl0_134,
inference(avatar_split_clause,[],[f535,f3682]) ).
fof(f3682,plain,
( spl0_134
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f535,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3680,plain,
spl0_133,
inference(avatar_split_clause,[],[f529,f3677]) ).
fof(f3677,plain,
( spl0_133
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f529,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3674,plain,
spl0_132,
inference(avatar_split_clause,[],[f531,f3671]) ).
fof(f3671,plain,
( spl0_132
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f531,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3669,plain,
spl0_131,
inference(avatar_split_clause,[],[f105,f3666]) ).
fof(f3666,plain,
( spl0_131
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f105,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3664,plain,
spl0_130,
inference(avatar_split_clause,[],[f1713,f3661]) ).
fof(f3661,plain,
( spl0_130
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1713,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3659,plain,
spl0_129,
inference(avatar_split_clause,[],[f1378,f3656]) ).
fof(f3656,plain,
( spl0_129
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1378,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3654,plain,
spl0_128,
inference(avatar_split_clause,[],[f1005,f3651]) ).
fof(f3651,plain,
( spl0_128
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1005,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3648,plain,
spl0_127,
inference(avatar_split_clause,[],[f1757,f3645]) ).
fof(f3645,plain,
( spl0_127
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1757,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3640,plain,
spl0_126,
inference(avatar_split_clause,[],[f2766,f3637]) ).
fof(f2766,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f194,f1394]) ).
fof(f1394,axiom,
! [X38] : c_Suc(X38) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X38,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f194,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3633,plain,
spl0_125,
inference(avatar_split_clause,[],[f1805,f3630]) ).
fof(f3630,plain,
( spl0_125
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1805,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3628,plain,
spl0_124,
inference(avatar_split_clause,[],[f1730,f3625]) ).
fof(f3625,plain,
( spl0_124
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1730,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3622,plain,
spl0_123,
inference(avatar_split_clause,[],[f1751,f3619]) ).
fof(f3619,plain,
( spl0_123
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1751,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3616,plain,
spl0_122,
inference(avatar_split_clause,[],[f1797,f3613]) ).
fof(f3613,plain,
( spl0_122
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1797,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3611,plain,
spl0_121,
inference(avatar_split_clause,[],[f1820,f3608]) ).
fof(f3608,plain,
( spl0_121
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1820,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3605,plain,
spl0_120,
inference(avatar_split_clause,[],[f1719,f3602]) ).
fof(f3602,plain,
( spl0_120
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1719,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3600,plain,
spl0_21,
inference(avatar_split_clause,[],[f3599,f3070]) ).
fof(f3070,plain,
( spl0_21
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3599,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_demodulation,[],[f1193,f1194]) ).
fof(f1194,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f1193,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(X11,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3598,plain,
spl0_119,
inference(avatar_split_clause,[],[f227,f3595]) ).
fof(f227,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3590,plain,
spl0_118,
inference(avatar_split_clause,[],[f1804,f3587]) ).
fof(f3587,plain,
( spl0_118
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1804,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3581,plain,
spl0_117,
inference(avatar_split_clause,[],[f1806,f3578]) ).
fof(f3578,plain,
( spl0_117
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1806,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3576,plain,
spl0_116,
inference(avatar_split_clause,[],[f1771,f3573]) ).
fof(f3573,plain,
( spl0_116
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1771,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3571,plain,
spl0_115,
inference(avatar_split_clause,[],[f1755,f3568]) ).
fof(f3568,plain,
( spl0_115
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1755,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3566,plain,
spl0_114,
inference(avatar_split_clause,[],[f1763,f3563]) ).
fof(f3563,plain,
( spl0_114
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1763,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3561,plain,
spl0_113,
inference(avatar_split_clause,[],[f1809,f3558]) ).
fof(f3558,plain,
( spl0_113
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1809,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3556,plain,
~ spl0_112,
inference(avatar_split_clause,[],[f940,f3553]) ).
fof(f3553,plain,
( spl0_112
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f940,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3551,plain,
spl0_111,
inference(avatar_split_clause,[],[f1795,f3548]) ).
fof(f3548,plain,
( spl0_111
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1795,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3544,plain,
spl0_110,
inference(avatar_split_clause,[],[f1725,f3541]) ).
fof(f3541,plain,
( spl0_110
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1725,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3538,plain,
spl0_109,
inference(avatar_split_clause,[],[f1786,f3535]) ).
fof(f3535,plain,
( spl0_109
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1786,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3533,plain,
spl0_72,
inference(avatar_split_clause,[],[f2907,f3331]) ).
fof(f2907,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f944,f1394]) ).
fof(f944,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3532,plain,
spl0_108,
inference(avatar_split_clause,[],[f1733,f3529]) ).
fof(f3529,plain,
( spl0_108
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1733,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3526,plain,
spl0_107,
inference(avatar_split_clause,[],[f1807,f3523]) ).
fof(f3523,plain,
( spl0_107
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1807,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3521,plain,
spl0_106,
inference(avatar_split_clause,[],[f1153,f3518]) ).
fof(f3518,plain,
( spl0_106
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1153,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3516,plain,
spl0_105,
inference(avatar_split_clause,[],[f1140,f3513]) ).
fof(f3513,plain,
( spl0_105
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1140,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3511,plain,
spl0_104,
inference(avatar_split_clause,[],[f1750,f3508]) ).
fof(f3508,plain,
( spl0_104
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1750,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3506,plain,
spl0_103,
inference(avatar_split_clause,[],[f1711,f3503]) ).
fof(f3503,plain,
( spl0_103
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1711,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3500,plain,
spl0_102,
inference(avatar_split_clause,[],[f2916,f3497]) ).
fof(f3497,plain,
( spl0_102
<=> 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_102])]) ).
fof(f2916,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f983,f962]) ).
fof(f962,axiom,
! [X35] : c_Numeral_Obin__add(c_Numeral_OMin,X35) = c_Numeral_Obin__pred(X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).
fof(f983,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3495,plain,
~ spl0_92,
inference(avatar_split_clause,[],[f1009,f3444]) ).
fof(f3444,plain,
( spl0_92
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1009,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3494,plain,
spl0_101,
inference(avatar_split_clause,[],[f1792,f3491]) ).
fof(f3491,plain,
( spl0_101
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1792,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3489,plain,
spl0_100,
inference(avatar_split_clause,[],[f1761,f3486]) ).
fof(f3486,plain,
( spl0_100
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1761,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3484,plain,
spl0_99,
inference(avatar_split_clause,[],[f1758,f3481]) ).
fof(f3481,plain,
( spl0_99
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3479,plain,
spl0_98,
inference(avatar_split_clause,[],[f1708,f3476]) ).
fof(f3476,plain,
( spl0_98
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1708,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3473,plain,
spl0_97,
inference(avatar_split_clause,[],[f1753,f3470]) ).
fof(f3470,plain,
( spl0_97
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1753,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3467,plain,
spl0_96,
inference(avatar_split_clause,[],[f1006,f3464]) ).
fof(f1006,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3462,plain,
spl0_95,
inference(avatar_split_clause,[],[f1741,f3459]) ).
fof(f3459,plain,
( spl0_95
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3457,plain,
~ spl0_94,
inference(avatar_split_clause,[],[f1160,f3454]) ).
fof(f3454,plain,
( spl0_94
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1160,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3452,plain,
spl0_93,
inference(avatar_split_clause,[],[f104,f3449]) ).
fof(f3449,plain,
( spl0_93
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f104,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3447,plain,
~ spl0_92,
inference(avatar_split_clause,[],[f1010,f3444]) ).
fof(f1010,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3442,plain,
( spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f3435,f3440,f3437]) ).
fof(f3437,plain,
( spl0_90
<=> ! [X77] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f3440,plain,
( spl0_91
<=> ! [X36] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_plus(c_Numeral_Onumber__of(X36,tc_nat),c_0,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f3435,plain,
! [X36,X77] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_plus(c_Numeral_Onumber__of(X36,tc_nat),c_0,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f675,f698]) ).
fof(f698,axiom,
! [X36] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X36,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f675,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_plus(c_Numeral_Onumber__of(X36,tc_nat),c_Numeral_Onumber__of(X77,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Oadd__nat__number__of_1) ).
fof(f3434,plain,
spl0_89,
inference(avatar_split_clause,[],[f1800,f3431]) ).
fof(f3431,plain,
( spl0_89
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1800,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3428,plain,
spl0_88,
inference(avatar_split_clause,[],[f1720,f3425]) ).
fof(f3425,plain,
( spl0_88
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1720,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3423,plain,
~ spl0_87,
inference(avatar_split_clause,[],[f1479,f3420]) ).
fof(f3420,plain,
( spl0_87
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1479,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3418,plain,
spl0_86,
inference(avatar_split_clause,[],[f955,f3415]) ).
fof(f3415,plain,
( spl0_86
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f955,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3413,plain,
spl0_85,
inference(avatar_split_clause,[],[f1818,f3410]) ).
fof(f3410,plain,
( spl0_85
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1818,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3408,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f100,f3004]) ).
fof(f3004,plain,
( spl0_8
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f100,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3405,plain,
spl0_84,
inference(avatar_split_clause,[],[f1799,f3402]) ).
fof(f3402,plain,
( spl0_84
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1799,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3399,plain,
spl0_83,
inference(avatar_split_clause,[],[f1789,f3396]) ).
fof(f3396,plain,
( spl0_83
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1789,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3394,plain,
spl0_82,
inference(avatar_split_clause,[],[f1815,f3391]) ).
fof(f3391,plain,
( spl0_82
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1815,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3389,plain,
spl0_81,
inference(avatar_split_clause,[],[f1715,f3386]) ).
fof(f3386,plain,
( spl0_81
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1715,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3383,plain,
spl0_80,
inference(avatar_split_clause,[],[f1821,f3380]) ).
fof(f3380,plain,
( spl0_80
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1821,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3378,plain,
spl0_79,
inference(avatar_split_clause,[],[f1785,f3375]) ).
fof(f3375,plain,
( spl0_79
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1785,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3373,plain,
spl0_78,
inference(avatar_split_clause,[],[f1717,f3370]) ).
fof(f3370,plain,
( spl0_78
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1717,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3367,plain,
spl0_77,
inference(avatar_split_clause,[],[f1746,f3364]) ).
fof(f3364,plain,
( spl0_77
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1746,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3354,plain,
spl0_76,
inference(avatar_split_clause,[],[f1703,f3351]) ).
fof(f3351,plain,
( spl0_76
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1703,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3349,plain,
spl0_75,
inference(avatar_split_clause,[],[f2744,f3346]) ).
fof(f2744,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3344,plain,
spl0_74,
inference(avatar_split_clause,[],[f538,f3341]) ).
fof(f3341,plain,
( spl0_74
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f538,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3339,plain,
spl0_73,
inference(avatar_split_clause,[],[f1727,f3336]) ).
fof(f3336,plain,
( spl0_73
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1727,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3334,plain,
spl0_72,
inference(avatar_split_clause,[],[f2963,f3331]) ).
fof(f2963,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f914,f1394]) ).
fof(f914,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3329,plain,
spl0_71,
inference(avatar_split_clause,[],[f717,f3326]) ).
fof(f717,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3324,plain,
spl0_70,
inference(avatar_split_clause,[],[f1794,f3321]) ).
fof(f3321,plain,
( spl0_70
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1794,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3319,plain,
spl0_69,
inference(avatar_split_clause,[],[f956,f3316]) ).
fof(f3316,plain,
( spl0_69
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f956,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3314,plain,
spl0_68,
inference(avatar_split_clause,[],[f1780,f3311]) ).
fof(f3311,plain,
( spl0_68
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1780,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3309,plain,
spl0_67,
inference(avatar_split_clause,[],[f1716,f3306]) ).
fof(f3306,plain,
( spl0_67
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1716,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3304,plain,
spl0_66,
inference(avatar_split_clause,[],[f1796,f3301]) ).
fof(f3301,plain,
( spl0_66
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1796,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3299,plain,
spl0_65,
inference(avatar_split_clause,[],[f241,f3296]) ).
fof(f241,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f3294,plain,
spl0_64,
inference(avatar_split_clause,[],[f1744,f3291]) ).
fof(f3291,plain,
( spl0_64
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1744,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3289,plain,
spl0_63,
inference(avatar_split_clause,[],[f1749,f3286]) ).
fof(f3286,plain,
( spl0_63
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1749,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3283,plain,
spl0_62,
inference(avatar_split_clause,[],[f1384,f3280]) ).
fof(f3280,plain,
( spl0_62
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1384,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3278,plain,
spl0_61,
inference(avatar_split_clause,[],[f534,f3275]) ).
fof(f3275,plain,
( spl0_61
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f534,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3272,plain,
spl0_60,
inference(avatar_split_clause,[],[f893,f3269]) ).
fof(f3269,plain,
( spl0_60
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f893,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3266,plain,
spl0_59,
inference(avatar_split_clause,[],[f1811,f3263]) ).
fof(f3263,plain,
( spl0_59
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1811,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3261,plain,
spl0_58,
inference(avatar_split_clause,[],[f537,f3258]) ).
fof(f3258,plain,
( spl0_58
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f537,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3256,plain,
spl0_57,
inference(avatar_split_clause,[],[f1721,f3253]) ).
fof(f3253,plain,
( spl0_57
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1721,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3251,plain,
spl0_56,
inference(avatar_split_clause,[],[f1724,f3248]) ).
fof(f3248,plain,
( spl0_56
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3246,plain,
spl0_55,
inference(avatar_split_clause,[],[f1417,f3243]) ).
fof(f3243,plain,
( spl0_55
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1417,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3241,plain,
spl0_54,
inference(avatar_split_clause,[],[f1790,f3238]) ).
fof(f3238,plain,
( spl0_54
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1790,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3236,plain,
spl0_53,
inference(avatar_split_clause,[],[f34,f3233]) ).
fof(f3233,plain,
( spl0_53
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f34,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3231,plain,
spl0_52,
inference(avatar_split_clause,[],[f3226,f3228]) ).
fof(f3228,plain,
( spl0_52
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f3226,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(forward_demodulation,[],[f336,f314]) ).
fof(f314,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f336,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X11,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3225,plain,
spl0_51,
inference(avatar_split_clause,[],[f2743,f3222]) ).
fof(f2743,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f3220,plain,
spl0_50,
inference(avatar_split_clause,[],[f1766,f3217]) ).
fof(f3217,plain,
( spl0_50
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1766,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3215,plain,
spl0_49,
inference(avatar_split_clause,[],[f1788,f3212]) ).
fof(f3212,plain,
( spl0_49
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1788,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3210,plain,
spl0_48,
inference(avatar_split_clause,[],[f1810,f3207]) ).
fof(f3207,plain,
( spl0_48
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1810,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3205,plain,
spl0_47,
inference(avatar_split_clause,[],[f1014,f3202]) ).
fof(f3202,plain,
( spl0_47
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1014,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3200,plain,
spl0_46,
inference(avatar_split_clause,[],[f1722,f3197]) ).
fof(f3197,plain,
( spl0_46
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1722,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3195,plain,
spl0_45,
inference(avatar_split_clause,[],[f1738,f3192]) ).
fof(f3192,plain,
( spl0_45
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1738,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3190,plain,
spl0_44,
inference(avatar_split_clause,[],[f1813,f3187]) ).
fof(f3187,plain,
( spl0_44
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1813,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3185,plain,
spl0_43,
inference(avatar_split_clause,[],[f2793,f3182]) ).
fof(f3182,plain,
( spl0_43
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2793,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f976,f979]) ).
fof(f979,axiom,
! [X35] : c_Numeral_Obin__minus(X35) = c_Numeral_Obin__mult(c_Numeral_OMin,X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f976,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3180,plain,
spl0_42,
inference(avatar_split_clause,[],[f1803,f3177]) ).
fof(f3177,plain,
( spl0_42
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1803,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3175,plain,
spl0_41,
inference(avatar_split_clause,[],[f1802,f3172]) ).
fof(f3172,plain,
( spl0_41
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1802,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3170,plain,
spl0_40,
inference(avatar_split_clause,[],[f221,f3167]) ).
fof(f3167,plain,
( spl0_40
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f221,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3165,plain,
spl0_39,
inference(avatar_split_clause,[],[f200,f3162]) ).
fof(f3162,plain,
( spl0_39
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f200,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3158,plain,
spl0_38,
inference(avatar_split_clause,[],[f1013,f3155]) ).
fof(f3155,plain,
( spl0_38
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1013,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3153,plain,
spl0_37,
inference(avatar_split_clause,[],[f1714,f3150]) ).
fof(f3150,plain,
( spl0_37
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1714,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3148,plain,
spl0_36,
inference(avatar_split_clause,[],[f1701,f3145]) ).
fof(f3145,plain,
( spl0_36
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1701,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3143,plain,
spl0_35,
inference(avatar_split_clause,[],[f1707,f3140]) ).
fof(f3140,plain,
( spl0_35
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1707,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3138,plain,
spl0_34,
inference(avatar_split_clause,[],[f2827,f3135]) ).
fof(f3135,plain,
( spl0_34
<=> c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2827,plain,
c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f897,f1394]) ).
fof(f897,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).
fof(f3133,plain,
spl0_33,
inference(avatar_split_clause,[],[f236,f3130]) ).
fof(f3130,plain,
( spl0_33
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f236,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3128,plain,
spl0_32,
inference(avatar_split_clause,[],[f1712,f3125]) ).
fof(f3125,plain,
( spl0_32
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1712,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3123,plain,
spl0_31,
inference(avatar_split_clause,[],[f1791,f3120]) ).
fof(f3120,plain,
( spl0_31
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1791,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3118,plain,
spl0_30,
inference(avatar_split_clause,[],[f1723,f3115]) ).
fof(f3115,plain,
( spl0_30
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1723,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3113,plain,
spl0_29,
inference(avatar_split_clause,[],[f525,f3110]) ).
fof(f3110,plain,
( spl0_29
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f525,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3108,plain,
~ spl0_28,
inference(avatar_split_clause,[],[f159,f3105]) ).
fof(f3105,plain,
( spl0_28
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f159,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3103,plain,
spl0_27,
inference(avatar_split_clause,[],[f1754,f3100]) ).
fof(f3100,plain,
( spl0_27
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1754,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3098,plain,
spl0_26,
inference(avatar_split_clause,[],[f1737,f3095]) ).
fof(f3095,plain,
( spl0_26
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1737,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3093,plain,
spl0_25,
inference(avatar_split_clause,[],[f1731,f3090]) ).
fof(f3090,plain,
( spl0_25
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1731,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3088,plain,
spl0_24,
inference(avatar_split_clause,[],[f523,f3085]) ).
fof(f3085,plain,
( spl0_24
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f523,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3083,plain,
spl0_23,
inference(avatar_split_clause,[],[f524,f3080]) ).
fof(f3080,plain,
( spl0_23
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f524,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3078,plain,
spl0_22,
inference(avatar_split_clause,[],[f1798,f3075]) ).
fof(f3075,plain,
( spl0_22
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1798,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3073,plain,
spl0_21,
inference(avatar_split_clause,[],[f899,f3070]) ).
fof(f899,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3068,plain,
spl0_20,
inference(avatar_split_clause,[],[f1819,f3065]) ).
fof(f3065,plain,
( spl0_20
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1819,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3063,plain,
spl0_19,
inference(avatar_split_clause,[],[f1734,f3060]) ).
fof(f3060,plain,
( spl0_19
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1734,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3058,plain,
spl0_18,
inference(avatar_split_clause,[],[f2825,f3055]) ).
fof(f2825,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f975,f979]) ).
fof(f975,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3053,plain,
spl0_17,
inference(avatar_split_clause,[],[f1735,f3050]) ).
fof(f3050,plain,
( spl0_17
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1735,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3048,plain,
spl0_16,
inference(avatar_split_clause,[],[f1710,f3045]) ).
fof(f3045,plain,
( spl0_16
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1710,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3043,plain,
spl0_15,
inference(avatar_split_clause,[],[f532,f3040]) ).
fof(f3040,plain,
( spl0_15
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f532,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3038,plain,
spl0_14,
inference(avatar_split_clause,[],[f1739,f3035]) ).
fof(f3035,plain,
( spl0_14
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1739,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3033,plain,
spl0_13,
inference(avatar_split_clause,[],[f883,f3030]) ).
fof(f3030,plain,
( spl0_13
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f883,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_2) ).
fof(f3028,plain,
spl0_12,
inference(avatar_split_clause,[],[f224,f3025]) ).
fof(f224,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3023,plain,
spl0_11,
inference(avatar_split_clause,[],[f1812,f3020]) ).
fof(f3020,plain,
( spl0_11
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3018,plain,
spl0_10,
inference(avatar_split_clause,[],[f1728,f3015]) ).
fof(f3015,plain,
( spl0_10
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1728,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3012,plain,
spl0_9,
inference(avatar_split_clause,[],[f1745,f3009]) ).
fof(f3009,plain,
( spl0_9
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1745,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3007,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f101,f3004]) ).
fof(f101,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3002,plain,
spl0_7,
inference(avatar_split_clause,[],[f1732,f2999]) ).
fof(f2999,plain,
( spl0_7
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1732,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f2997,plain,
spl0_6,
inference(avatar_split_clause,[],[f2747,f2994]) ).
fof(f2747,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f866,f1394]) ).
fof(f866,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f2992,plain,
spl0_5,
inference(avatar_split_clause,[],[f1816,f2989]) ).
fof(f2989,plain,
( spl0_5
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1816,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f2987,plain,
spl0_4,
inference(avatar_split_clause,[],[f1772,f2984]) ).
fof(f2984,plain,
( spl0_4
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1772,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f2982,plain,
spl0_3,
inference(avatar_split_clause,[],[f1775,f2979]) ).
fof(f2979,plain,
( spl0_3
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1775,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f2977,plain,
spl0_2,
inference(avatar_split_clause,[],[f1742,f2974]) ).
fof(f2974,plain,
( spl0_2
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1742,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f2972,plain,
spl0_1,
inference(avatar_split_clause,[],[f536,f2969]) ).
fof(f2969,plain,
( spl0_1
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f536,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT277-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:59:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.02/0.58 % (31191)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.02/0.59 % (31205)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.02/0.59 % (31197)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.02/0.60 % (31207)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.02/0.60 % (31199)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)
% 1.02/0.60 % (31188)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.02/0.60 % (31191)Instruction limit reached!
% 1.02/0.60 % (31191)------------------------------
% 1.02/0.60 % (31191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.60 % (31191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.60 % (31191)Termination reason: Unknown
% 1.02/0.60 % (31191)Termination phase: Function definition elimination
% 1.02/0.60
% 1.02/0.60 % (31190)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.02/0.60 % (31191)Memory used [KB]: 3198
% 1.02/0.60 % (31191)Time elapsed: 0.007 s
% 1.02/0.60 % (31191)Instructions burned: 7 (million)
% 1.02/0.60 % (31191)------------------------------
% 1.02/0.60 % (31191)------------------------------
% 1.02/0.61 % (31213)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.02/0.61 % (31196)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.02/0.61 % (31195)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.02/0.62 % (31187)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.02/0.62 % (31184)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.02/0.63 % (31211)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.02/0.63 % (31206)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.02/0.63 % (31189)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.02/0.63 % (31186)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.02/0.63 % (31203)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.02/0.63 % (31209)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.02/0.64 % (31200)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.02/0.64 % (31202)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.02/0.64 % (31185)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.02/0.64 % (31198)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.02/0.64 % (31212)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.02/0.64 % (31194)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.02/0.64 % (31192)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.02/0.64 % (31192)Instruction limit reached!
% 1.02/0.64 % (31192)------------------------------
% 1.02/0.64 % (31192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.64 % (31192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.64 % (31192)Termination reason: Unknown
% 1.02/0.64 % (31192)Termination phase: shuffling
% 1.02/0.64
% 1.02/0.64 % (31192)Memory used [KB]: 2942
% 1.02/0.64 % (31192)Time elapsed: 0.002 s
% 1.02/0.64 % (31192)Instructions burned: 2 (million)
% 1.02/0.64 % (31192)------------------------------
% 1.02/0.64 % (31192)------------------------------
% 1.02/0.65 % (31210)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.02/0.65 % (31204)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.63/0.65 % (31208)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.63/0.66 % (31193)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.67 % (31201)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.63/0.68 % (31187)Instruction limit reached!
% 1.63/0.68 % (31187)------------------------------
% 1.63/0.68 % (31187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.69 % (31188)Instruction limit reached!
% 1.82/0.69 % (31188)------------------------------
% 1.82/0.69 % (31188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.70 % (31187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.70 % (31187)Termination reason: Unknown
% 1.82/0.70 % (31187)Termination phase: Saturation
% 1.82/0.70
% 1.82/0.70 % (31187)Memory used [KB]: 8443
% 1.82/0.70 % (31187)Time elapsed: 0.028 s
% 1.82/0.70 % (31187)Instructions burned: 51 (million)
% 1.82/0.70 % (31187)------------------------------
% 1.82/0.70 % (31187)------------------------------
% 1.82/0.70 % (31190)Instruction limit reached!
% 1.82/0.70 % (31190)------------------------------
% 1.82/0.70 % (31190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.70 % (31190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.70 % (31190)Termination reason: Unknown
% 1.82/0.70 % (31190)Termination phase: Finite model building preprocessing
% 1.82/0.70
% 1.82/0.70 % (31190)Memory used [KB]: 4093
% 1.82/0.70 % (31190)Time elapsed: 0.028 s
% 1.82/0.70 % (31190)Instructions burned: 51 (million)
% 1.82/0.70 % (31190)------------------------------
% 1.82/0.70 % (31190)------------------------------
% 1.82/0.71 % (31186)Instruction limit reached!
% 1.82/0.71 % (31186)------------------------------
% 1.82/0.71 % (31186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.71 % (31186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.71 % (31186)Termination reason: Unknown
% 1.82/0.71 % (31186)Termination phase: Property scanning
% 1.82/0.71
% 1.82/0.71 % (31186)Memory used [KB]: 3454
% 1.82/0.71 % (31186)Time elapsed: 0.023 s
% 1.82/0.71 % (31186)Instructions burned: 39 (million)
% 1.82/0.71 % (31186)------------------------------
% 1.82/0.71 % (31186)------------------------------
% 1.82/0.71 % (31189)Instruction limit reached!
% 1.82/0.71 % (31189)------------------------------
% 1.82/0.71 % (31189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.71 % (31189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.71 % (31189)Termination reason: Unknown
% 1.82/0.71 % (31189)Termination phase: Saturation
% 1.82/0.71
% 1.82/0.71 % (31189)Memory used [KB]: 8059
% 1.82/0.71 % (31189)Time elapsed: 0.025 s
% 1.82/0.71 % (31189)Instructions burned: 49 (million)
% 1.82/0.71 % (31189)------------------------------
% 1.82/0.71 % (31189)------------------------------
% 1.82/0.71 % (31188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.71 % (31188)Termination reason: Unknown
% 1.82/0.71 % (31188)Termination phase: Property scanning
% 1.82/0.71
% 1.82/0.71 % (31188)Memory used [KB]: 3326
% 1.82/0.71 % (31188)Time elapsed: 0.028 s
% 1.82/0.71 % (31188)Instructions burned: 54 (million)
% 1.82/0.71 % (31188)------------------------------
% 1.82/0.71 % (31188)------------------------------
% 1.82/0.72 % (31250)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)
% 1.82/0.72 % (31199)Instruction limit reached!
% 1.82/0.72 % (31199)------------------------------
% 1.82/0.72 % (31199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.72 % (31199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.72 % (31199)Termination reason: Unknown
% 1.82/0.72 % (31199)Termination phase: Saturation
% 1.82/0.72
% 1.82/0.72 % (31199)Memory used [KB]: 4093
% 1.82/0.72 % (31199)Time elapsed: 0.043 s
% 1.82/0.72 % (31199)Instructions burned: 76 (million)
% 1.82/0.72 % (31199)------------------------------
% 1.82/0.72 % (31199)------------------------------
% 2.20/0.73 % (31194)Instruction limit reached!
% 2.20/0.73 % (31194)------------------------------
% 2.20/0.73 % (31194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.73 % (31194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.73 % (31194)Termination reason: Unknown
% 2.20/0.73 % (31194)Termination phase: Saturation
% 2.20/0.73
% 2.20/0.73 % (31194)Memory used [KB]: 8187
% 2.20/0.73 % (31194)Time elapsed: 0.027 s
% 2.20/0.73 % (31194)Instructions burned: 50 (million)
% 2.20/0.73 % (31194)------------------------------
% 2.20/0.73 % (31194)------------------------------
% 2.20/0.73 % (31185)Instruction limit reached!
% 2.20/0.73 % (31185)------------------------------
% 2.20/0.73 % (31185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.73 % (31185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.73 % (31185)Termination reason: Unknown
% 2.20/0.73 % (31185)Termination phase: Saturation
% 2.20/0.73
% 2.20/0.73 % (31185)Memory used [KB]: 8315
% 2.20/0.73 % (31185)Time elapsed: 0.028 s
% 2.20/0.73 % (31185)Instructions burned: 50 (million)
% 2.20/0.73 % (31185)------------------------------
% 2.20/0.73 % (31185)------------------------------
% 2.20/0.74 % (31197)Instruction limit reached!
% 2.20/0.74 % (31197)------------------------------
% 2.20/0.74 % (31197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.74 % (31197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.74 % (31197)Termination reason: Unknown
% 2.27/0.74 % (31197)Termination phase: Saturation
% 2.27/0.74
% 2.27/0.74 % (31197)Memory used [KB]: 8955
% 2.27/0.74 % (31197)Time elapsed: 0.090 s
% 2.27/0.74 % (31197)Instructions burned: 99 (million)
% 2.27/0.74 % (31197)------------------------------
% 2.27/0.74 % (31197)------------------------------
% 2.27/0.75 % (31198)Instruction limit reached!
% 2.27/0.75 % (31198)------------------------------
% 2.27/0.75 % (31198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (31198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (31198)Termination reason: Unknown
% 2.27/0.75 % (31198)Termination phase: Saturation
% 2.27/0.75
% 2.27/0.75 % (31198)Memory used [KB]: 10490
% 2.27/0.75 % (31198)Time elapsed: 0.038 s
% 2.27/0.75 % (31198)Instructions burned: 68 (million)
% 2.27/0.75 % (31198)------------------------------
% 2.27/0.75 % (31198)------------------------------
% 2.27/0.75 % (31193)Instruction limit reached!
% 2.27/0.75 % (31193)------------------------------
% 2.27/0.75 % (31193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (31193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (31193)Termination reason: Unknown
% 2.27/0.75 % (31193)Termination phase: Saturation
% 2.27/0.75
% 2.27/0.75 % (31193)Memory used [KB]: 4093
% 2.27/0.75 % (31193)Time elapsed: 0.030 s
% 2.27/0.75 % (31193)Instructions burned: 51 (million)
% 2.27/0.75 % (31193)------------------------------
% 2.27/0.75 % (31193)------------------------------
% 2.27/0.76 % (31201)Instruction limit reached!
% 2.27/0.76 % (31201)------------------------------
% 2.27/0.76 % (31201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.76 % (31201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.76 % (31201)Termination reason: Unknown
% 2.27/0.76 % (31201)Termination phase: Blocked clause elimination
% 2.27/0.76
% 2.27/0.76 % (31201)Memory used [KB]: 3965
% 2.27/0.76 % (31201)Time elapsed: 0.034 s
% 2.27/0.76 % (31201)Instructions burned: 59 (million)
% 2.27/0.76 % (31201)------------------------------
% 2.27/0.76 % (31201)------------------------------
% 2.27/0.76 % (31210)Instruction limit reached!
% 2.27/0.76 % (31210)------------------------------
% 2.27/0.76 % (31210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.78 % (31210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.78 % (31210)Termination reason: Unknown
% 2.27/0.78 % (31210)Termination phase: Saturation
% 2.27/0.78
% 2.27/0.78 % (31210)Memory used [KB]: 10618
% 2.27/0.78 % (31210)Time elapsed: 0.039 s
% 2.27/0.78 % (31210)Instructions burned: 69 (million)
% 2.27/0.78 % (31210)------------------------------
% 2.27/0.78 % (31210)------------------------------
% 2.27/0.78 % (31256)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.27/0.79 % (31203)Instruction limit reached!
% 2.27/0.79 % (31203)------------------------------
% 2.27/0.79 % (31203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.79 % (31203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.79 % (31203)Termination reason: Unknown
% 2.27/0.79 % (31203)Termination phase: Saturation
% 2.27/0.79
% 2.27/0.79 % (31203)Memory used [KB]: 4349
% 2.27/0.79 % (31203)Time elapsed: 0.065 s
% 2.27/0.79 % (31203)Instructions burned: 101 (million)
% 2.27/0.79 % (31203)------------------------------
% 2.27/0.79 % (31203)------------------------------
% 2.27/0.81 % (31195)Instruction limit reached!
% 2.27/0.81 % (31195)------------------------------
% 2.27/0.81 % (31195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.81 % (31205)Instruction limit reached!
% 2.27/0.81 % (31205)------------------------------
% 2.27/0.81 % (31205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.81 % (31205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.81 % (31205)Termination reason: Unknown
% 2.27/0.81 % (31205)Termination phase: Saturation
% 2.27/0.81
% 2.27/0.81 % (31205)Memory used [KB]: 9594
% 2.27/0.81 % (31205)Time elapsed: 0.117 s
% 2.27/0.81 % (31205)Instructions burned: 138 (million)
% 2.27/0.81 % (31205)------------------------------
% 2.27/0.81 % (31205)------------------------------
% 2.65/0.82 % (31200)Instruction limit reached!
% 2.65/0.82 % (31200)------------------------------
% 2.65/0.82 % (31200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.82 % (31200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.82 % (31200)Termination reason: Unknown
% 2.65/0.82 % (31200)Termination phase: Saturation
% 2.65/0.82
% 2.65/0.82 % (31200)Memory used [KB]: 8443
% 2.65/0.82 % (31200)Time elapsed: 0.325 s
% 2.65/0.82 % (31200)Instructions burned: 100 (million)
% 2.65/0.82 % (31200)------------------------------
% 2.65/0.82 % (31200)------------------------------
% 2.65/0.83 % (31272)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.65/0.83 % (31195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.83 % (31195)Termination reason: Unknown
% 2.65/0.83 % (31195)Termination phase: Saturation
% 2.65/0.83
% 2.65/0.83 % (31195)Memory used [KB]: 9083
% 2.65/0.83 % (31195)Time elapsed: 0.313 s
% 2.65/0.83 % (31195)Instructions burned: 101 (million)
% 2.65/0.83 % (31195)------------------------------
% 2.65/0.83 % (31195)------------------------------
% 2.65/0.83 % (31196)Instruction limit reached!
% 2.65/0.83 % (31196)------------------------------
% 2.65/0.83 % (31196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.83 % (31196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.83 % (31196)Termination reason: Unknown
% 2.65/0.83 % (31196)Termination phase: Saturation
% 2.65/0.83
% 2.65/0.83 % (31196)Memory used [KB]: 9083
% 2.65/0.83 % (31196)Time elapsed: 0.059 s
% 2.65/0.83 % (31196)Instructions burned: 101 (million)
% 2.65/0.83 % (31196)------------------------------
% 2.65/0.83 % (31196)------------------------------
% 2.65/0.83 % (31270)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.65/0.84 % (31279)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.65/0.84 % (31292)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 2.65/0.85 % (31202)Instruction limit reached!
% 2.65/0.85 % (31202)------------------------------
% 2.65/0.85 % (31202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.85 % (31202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.85 % (31202)Termination reason: Unknown
% 2.65/0.85 % (31202)Termination phase: Saturation
% 2.65/0.85
% 2.65/0.85 % (31202)Memory used [KB]: 9338
% 2.65/0.85 % (31202)Time elapsed: 0.068 s
% 2.65/0.85 % (31202)Instructions burned: 102 (million)
% 2.65/0.85 % (31202)------------------------------
% 2.65/0.85 % (31202)------------------------------
% 2.65/0.85 % (31276)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.65/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.86 % (31288)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.65/0.86 % (31282)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 2.65/0.86 % (31304)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 2.84/0.87 % (31295)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 2.84/0.88 % (31313)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 (2996ds/4958Mi)
% 2.84/0.89 % (31310)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.84/0.90 % (31309)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.84/0.91 % (31320)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)
% 2.84/0.92 % (31319)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.84/0.94 % (31318)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.84/0.95 % (31270)Instruction limit reached!
% 2.84/0.95 % (31270)------------------------------
% 2.84/0.95 % (31270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.95 % (31304)Instruction limit reached!
% 2.84/0.95 % (31304)------------------------------
% 2.84/0.95 % (31304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.95 % (31211)Instruction limit reached!
% 3.03/0.95 % (31211)------------------------------
% 3.03/0.95 % (31211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.95 % (31211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.95 % (31211)Termination reason: Unknown
% 3.03/0.95 % (31211)Termination phase: Saturation
% 3.03/0.95
% 3.03/0.95 % (31211)Memory used [KB]: 5373
% 3.03/0.95 % (31211)Time elapsed: 0.442 s
% 3.03/0.95 % (31211)Instructions burned: 177 (million)
% 3.03/0.95 % (31211)------------------------------
% 3.03/0.95 % (31211)------------------------------
% 3.03/0.95 % (31270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.95 % (31270)Termination reason: Unknown
% 3.03/0.95 % (31270)Termination phase: Saturation
% 3.03/0.95
% 3.03/0.95 % (31270)Memory used [KB]: 8443
% 3.03/0.95 % (31270)Time elapsed: 0.188 s
% 3.03/0.95 % (31270)Instructions burned: 90 (million)
% 3.03/0.95 % (31270)------------------------------
% 3.03/0.95 % (31270)------------------------------
% 3.03/0.96 % (31321)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.03/0.96 % (31304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.96 % (31304)Termination reason: Unknown
% 3.03/0.96 % (31304)Termination phase: Saturation
% 3.03/0.96
% 3.03/0.96 % (31304)Memory used [KB]: 8443
% 3.03/0.96 % (31304)Time elapsed: 0.166 s
% 3.03/0.96 % (31304)Instructions burned: 90 (million)
% 3.03/0.96 % (31304)------------------------------
% 3.03/0.96 % (31304)------------------------------
% 3.03/0.96 % (31323)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)
% 3.03/0.97 % (31322)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.25/0.98 % (31324)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.25/0.98 % (31288)Instruction limit reached!
% 3.25/0.98 % (31288)------------------------------
% 3.25/0.98 % (31288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.98 % (31288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.98 % (31204)Instruction limit reached!
% 3.25/0.98 % (31204)------------------------------
% 3.25/0.98 % (31204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.98 % (31288)Termination reason: Unknown
% 3.25/0.98 % (31288)Termination phase: Saturation
% 3.25/0.98
% 3.25/0.98 % (31288)Memory used [KB]: 10490
% 3.25/0.98 % (31288)Time elapsed: 0.035 s
% 3.25/0.98 % (31288)Instructions burned: 70 (million)
% 3.25/0.98 % (31288)------------------------------
% 3.25/0.98 % (31288)------------------------------
% 3.25/0.99 % (31204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.99 % (31204)Termination reason: Unknown
% 3.25/0.99 % (31204)Termination phase: Saturation
% 3.25/0.99
% 3.25/0.99 % (31204)Memory used [KB]: 9850
% 3.25/0.99 % (31204)Time elapsed: 0.101 s
% 3.25/0.99 % (31204)Instructions burned: 177 (million)
% 3.25/0.99 % (31204)------------------------------
% 3.25/0.99 % (31204)------------------------------
% 4.80/1.06 % (31325)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.80/1.06 % (31321)Instruction limit reached!
% 4.80/1.06 % (31321)------------------------------
% 4.80/1.06 % (31321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.80/1.06 % (31321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.80/1.06 % (31321)Termination reason: Unknown
% 4.80/1.06 % (31321)Termination phase: Saturation
% 4.80/1.06
% 4.80/1.06 % (31321)Memory used [KB]: 10490
% 4.80/1.06 % (31321)Time elapsed: 0.052 s
% 4.80/1.06 % (31321)Instructions burned: 68 (million)
% 4.80/1.06 % (31321)------------------------------
% 4.80/1.06 % (31321)------------------------------
% 4.80/1.09 % (31326)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)
% 4.80/1.11 % (31327)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)
% 4.80/1.12 % (31328)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.38/1.12 % (31329)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)
% 5.38/1.18 % (31256)Instruction limit reached!
% 5.38/1.18 % (31256)------------------------------
% 5.38/1.18 % (31256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.20 % (31256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.20 % (31256)Termination reason: Unknown
% 5.75/1.20 % (31256)Termination phase: Saturation
% 5.75/1.20
% 5.75/1.20 % (31256)Memory used [KB]: 5756
% 5.75/1.20 % (31256)Time elapsed: 0.496 s
% 5.75/1.20 % (31256)Instructions burned: 213 (million)
% 5.75/1.20 % (31256)------------------------------
% 5.75/1.20 % (31256)------------------------------
% 5.75/1.21 % (31330)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)
% 5.75/1.24 % (31326)Instruction limit reached!
% 5.75/1.24 % (31326)------------------------------
% 5.75/1.24 % (31326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.25 % (31326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.25 % (31326)Termination reason: Unknown
% 5.75/1.25 % (31326)Termination phase: Saturation
% 5.75/1.25
% 5.75/1.25 % (31326)Memory used [KB]: 8443
% 5.75/1.25 % (31326)Time elapsed: 0.236 s
% 5.75/1.25 % (31326)Instructions burned: 92 (million)
% 5.75/1.25 % (31326)------------------------------
% 5.75/1.25 % (31326)------------------------------
% 6.33/1.25 % (31213)Instruction limit reached!
% 6.33/1.25 % (31213)------------------------------
% 6.33/1.25 % (31213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.33/1.25 % (31213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.33/1.25 % (31213)Termination reason: Unknown
% 6.33/1.25 % (31213)Termination phase: Saturation
% 6.33/1.25
% 6.33/1.25 % (31213)Memory used [KB]: 12153
% 6.33/1.25 % (31213)Time elapsed: 0.725 s
% 6.33/1.25 % (31213)Instructions burned: 357 (million)
% 6.33/1.25 % (31213)------------------------------
% 6.33/1.25 % (31213)------------------------------
% 6.48/1.29 % (31250)Instruction limit reached!
% 6.48/1.29 % (31250)------------------------------
% 6.48/1.29 % (31250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.48/1.29 % (31250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.48/1.29 % (31250)Termination reason: Unknown
% 6.48/1.29 % (31250)Termination phase: Saturation
% 6.48/1.29
% 6.48/1.29 % (31250)Memory used [KB]: 11001
% 6.48/1.29 % (31250)Time elapsed: 0.608 s
% 6.48/1.29 % (31250)Instructions burned: 390 (million)
% 6.48/1.29 % (31250)------------------------------
% 6.48/1.29 % (31250)------------------------------
% 6.76/1.33 % (31331)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9902Mi)
% 6.96/1.38 % (31333)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.96/1.39 % (31332)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 6.96/1.42 % (31209)Instruction limit reached!
% 6.96/1.42 % (31209)------------------------------
% 6.96/1.42 % (31209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.42 % (31209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.42 % (31209)Termination reason: Unknown
% 6.96/1.42 % (31209)Termination phase: Saturation
% 6.96/1.42
% 6.96/1.42 % (31209)Memory used [KB]: 12409
% 6.96/1.42 % (31209)Time elapsed: 0.910 s
% 6.96/1.42 % (31209)Instructions burned: 501 (million)
% 6.96/1.42 % (31209)------------------------------
% 6.96/1.42 % (31209)------------------------------
% 6.96/1.42 % (31313)First to succeed.
% 7.50/1.43 % (31313)Refutation found. Thanks to Tanya!
% 7.50/1.43 % SZS status Unsatisfiable for theBenchmark
% 7.50/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 7.50/1.43 % (31313)------------------------------
% 7.50/1.43 % (31313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.50/1.43 % (31313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.50/1.43 % (31313)Termination reason: Refutation
% 7.50/1.43
% 7.50/1.43 % (31313)Memory used [KB]: 5756
% 7.50/1.43 % (31313)Time elapsed: 0.608 s
% 7.50/1.43 % (31313)Instructions burned: 414 (million)
% 7.50/1.43 % (31313)------------------------------
% 7.50/1.43 % (31313)------------------------------
% 7.50/1.43 % (31127)Success in time 1.069 s
%------------------------------------------------------------------------------