TSTP Solution File: LAT273-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT273-1 : 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 : n012.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 17:36:33 EDT 2022
% Result : Unsatisfiable 8.97s 1.55s
% Output : Refutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 407
% Syntax : Number of formulae : 725 ( 355 unt; 0 def)
% Number of atoms : 1242 ( 200 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 835 ( 318 ~; 311 |; 0 &)
% ( 206 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 273 ( 271 usr; 207 prp; 0-4 aty)
% Number of functors : 75 ( 75 usr; 45 con; 0-4 aty)
% Number of variables : 165 ( 165 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4837,plain,
$false,
inference(avatar_smt_refutation,[],[f2984,f2989,f2994,f2999,f3004,f3009,f3014,f3019,f3024,f3029,f3034,f3039,f3044,f3049,f3054,f3059,f3064,f3069,f3074,f3079,f3084,f3089,f3094,f3099,f3104,f3109,f3114,f3119,f3124,f3132,f3137,f3142,f3147,f3152,f3157,f3162,f3167,f3173,f3178,f3183,f3188,f3193,f3202,f3207,f3212,f3217,f3222,f3227,f3232,f3237,f3242,f3247,f3252,f3257,f3262,f3267,f3274,f3279,f3284,f3289,f3294,f3299,f3304,f3309,f3314,f3319,f3324,f3329,f3334,f3339,f3344,f3349,f3354,f3359,f3364,f3369,f3374,f3380,f3385,f3391,f3396,f3401,f3406,f3412,f3417,f3422,f3428,f3433,f3438,f3443,f3448,f3454,f3459,f3464,f3469,f3474,f3479,f3484,f3489,f3494,f3499,f3504,f3506,f3507,f3512,f3517,f3520,f3525,f3531,f3537,f3547,f3549,f3555,f3560,f3565,f3566,f3571,f3576,f3581,f3586,f3591,f3596,f3597,f3602,f3610,f3615,f3620,f3625,f3630,f3636,f3642,f3647,f3652,f3658,f3667,f3673,f3678,f3684,f3689,f3694,f3699,f3706,f3711,f3716,f3721,f3726,f3731,f3736,f3741,f3749,f3754,f3759,f3764,f3769,f3774,f3780,f3785,f3787,f3796,f3801,f3806,f3812,f3817,f3822,f3827,f3832,f3837,f3849,f3850,f3855,f3861,f3866,f3895,f3956,f3961,f3975,f3982,f3987,f4017,f4038,f4063,f4073,f4078,f4083,f4090,f4097,f4105,f4110,f4117,f4133,f4146,f4157,f4168,f4179,f4190,f4199,f4276,f4358,f4632,f4633,f4767,f4803,f4813,f4836]) ).
fof(f4836,plain,
( spl0_85
| ~ spl0_7
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f4835,f4197,f3011,f3403]) ).
fof(f3403,plain,
( spl0_85
<=> c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f3011,plain,
( spl0_7
<=> c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4197,plain,
( spl0_199
<=> ! [X0] :
( ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f4835,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_7
| ~ spl0_199 ),
inference(resolution,[],[f4198,f3013]) ).
fof(f3013,plain,
( c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f4198,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f4197]) ).
fof(f4813,plain,
( spl0_206
| ~ spl0_162
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f4807,f4761,f3829,f4810]) ).
fof(f4810,plain,
( spl0_206
<=> c_lessequals(c_plus(c_1,c_1,tc_nat),c_plus(c_1,c_1,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f3829,plain,
( spl0_162
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f4761,plain,
( spl0_203
<=> c_lessequals(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f4807,plain,
( c_lessequals(c_plus(c_1,c_1,tc_nat),c_plus(c_1,c_1,tc_nat),tc_nat)
| ~ spl0_162
| ~ spl0_203 ),
inference(resolution,[],[f4763,f4507]) ).
fof(f4507,plain,
( ! [X19,X30] :
( ~ c_lessequals(X19,X30,tc_nat)
| c_lessequals(c_plus(X19,c_1,tc_nat),c_plus(X30,c_1,tc_nat),tc_nat) )
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4386,f4385]) ).
fof(f4385,plain,
( ! [X0] : c_plus(X0,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4368,f3831]) ).
fof(f3831,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f4368,plain,
! [X0] : c_plus(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),
inference(superposition,[],[f2808,f891]) ).
fof(f891,axiom,
! [X8] : c_plus(X8,c_0,tc_nat) = X8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).
fof(f2808,plain,
! [X19,X30] : c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X30,X19,tc_nat),tc_nat),tc_nat) = c_plus(X30,c_Finite__Set_Ocard(c_SetInterval_OatMost(X19,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f892,f1409,f1409]) ).
fof(f1409,axiom,
! [X41] : c_Suc(X41) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X41,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f892,axiom,
! [X19,X30] : c_plus(X30,c_Suc(X19),tc_nat) = c_Suc(c_plus(X30,X19,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__Suc__right_0) ).
fof(f4386,plain,
( ! [X19,X30] :
( ~ c_lessequals(X19,X30,tc_nat)
| c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X19,tc_nat),tc_nat),c_plus(X30,c_1,tc_nat),tc_nat) )
| ~ spl0_162 ),
inference(backward_demodulation,[],[f2759,f4385]) ).
fof(f2759,plain,
! [X19,X30] :
( ~ c_lessequals(X19,X30,tc_nat)
| c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X19,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X30,tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f885,f1409,f1409]) ).
fof(f885,axiom,
! [X19,X30] :
( c_lessequals(c_Suc(X19),c_Suc(X30),tc_nat)
| ~ c_lessequals(X19,X30,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono_1) ).
fof(f4763,plain,
( c_lessequals(c_1,c_1,tc_nat)
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f4761]) ).
fof(f4803,plain,
( spl0_205
| ~ spl0_102
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f4796,f3829,f3491,f4800]) ).
fof(f4800,plain,
( spl0_205
<=> c_1 = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f3491,plain,
( spl0_102
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f4796,plain,
( c_1 = c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat)
| ~ spl0_102
| ~ spl0_162 ),
inference(resolution,[],[f4783,f3493]) ).
fof(f3493,plain,
( c_less(c_0,c_1,tc_nat)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f3491]) ).
fof(f4783,plain,
( ! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_plus(c_1,c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),tc_nat) = X8 )
| ~ spl0_162 ),
inference(backward_demodulation,[],[f4486,f4768]) ).
fof(f4768,plain,
( ! [X1] : c_plus(X1,c_1,tc_nat) = c_plus(c_1,X1,tc_nat)
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4753,f4312]) ).
fof(f4312,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = X0
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4311,f891]) ).
fof(f4311,plain,
( ! [X0] : c_plus(X0,c_0,tc_nat) = c_times(c_1,X0,tc_nat)
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4288,f963]) ).
fof(f963,axiom,
! [X19] : c_0 = c_times(c_0,X19,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__0_0) ).
fof(f4288,plain,
( ! [X0] : c_times(c_1,X0,tc_nat) = c_plus(X0,c_times(c_0,X0,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(superposition,[],[f2882,f3831]) ).
fof(f2882,plain,
! [X19,X30] : c_plus(X19,c_times(X30,X19,tc_nat),tc_nat) = c_times(c_Finite__Set_Ocard(c_SetInterval_OatMost(X30,tc_nat),tc_nat),X19,tc_nat),
inference(definition_unfolding,[],[f964,f1409]) ).
fof(f964,axiom,
! [X19,X30] : c_times(c_Suc(X30),X19,tc_nat) = c_plus(X19,c_times(X30,X19,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_K_Omult__Suc_0) ).
fof(f4753,plain,
( ! [X1] : c_plus(X1,c_1,tc_nat) = c_plus(c_1,c_times(c_1,X1,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(superposition,[],[f4312,f4412]) ).
fof(f4412,plain,
( ! [X19,X30] : c_plus(X30,c_times(X30,X19,tc_nat),tc_nat) = c_times(X30,c_plus(X19,c_1,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(backward_demodulation,[],[f2906,f4385]) ).
fof(f2906,plain,
! [X19,X30] : c_plus(X30,c_times(X30,X19,tc_nat),tc_nat) = c_times(X30,c_Finite__Set_Ocard(c_SetInterval_OatMost(X19,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f922,f1409]) ).
fof(f922,axiom,
! [X19,X30] : c_times(X30,c_Suc(X19),tc_nat) = c_plus(X30,c_times(X30,X19,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__Suc__right_0) ).
fof(f4486,plain,
( ! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),c_1,tc_nat) = X8 )
| ~ spl0_162 ),
inference(backward_demodulation,[],[f3843,f4385]) ).
fof(f3843,plain,
! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,X8,tc_nat),tc_nat),tc_nat),tc_nat) = X8 ),
inference(forward_demodulation,[],[f2831,f2821]) ).
fof(f2821,plain,
! [X41,X77] : c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X77,X41,tc_nat),tc_nat) = c_minus(X41,c_Finite__Set_Ocard(c_SetInterval_OatMost(X77,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1412,f1409]) ).
fof(f1412,axiom,
! [X41,X77] : c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(X77,X41,tc_nat),tc_nat) = c_minus(X41,c_Suc(X77),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__greaterThanLessThan_0) ).
fof(f2831,plain,
! [X8] :
( c_Finite__Set_Ocard(c_SetInterval_OatMost(c_minus(X8,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),tc_nat),tc_nat) = X8
| ~ c_less(c_0,X8,tc_nat) ),
inference(definition_unfolding,[],[f889,f1409,f1409]) ).
fof(f889,axiom,
! [X8] :
( ~ c_less(c_0,X8,tc_nat)
| c_Suc(c_minus(X8,c_Suc(c_0),tc_nat)) = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__pred_0) ).
fof(f4767,plain,
( spl0_203
| spl0_204
| ~ spl0_125
| ~ spl0_162
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4755,f3972,f3829,f3622,f4765,f4761]) ).
fof(f4765,plain,
( spl0_204
<=> ! [X2] : ~ c_lessequals(c_1,X2,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f3622,plain,
( spl0_125
<=> 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_125])]) ).
fof(f3972,plain,
( spl0_171
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f4755,plain,
( ! [X2] :
( ~ c_lessequals(c_1,X2,tc_nat)
| c_lessequals(c_1,c_1,tc_nat) )
| ~ spl0_125
| ~ spl0_162
| ~ spl0_171 ),
inference(superposition,[],[f3999,f4312]) ).
fof(f3999,plain,
( ! [X19,X30] :
( ~ c_lessequals(c_1,c_times(X30,X19,tc_nat),tc_nat)
| c_lessequals(c_1,X30,tc_nat) )
| ~ spl0_125
| ~ spl0_171 ),
inference(backward_demodulation,[],[f3878,f3974]) ).
fof(f3974,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f3878,plain,
( ! [X19,X30] :
( c_lessequals(c_1,X30,tc_nat)
| ~ c_lessequals(c_IntDef_Onat(c_1),c_times(X30,X19,tc_nat),tc_nat) )
| ~ spl0_125 ),
inference(backward_demodulation,[],[f2892,f3624]) ).
fof(f3624,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f3622]) ).
fof(f2892,plain,
! [X19,X30] :
( ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_times(X30,X19,tc_nat),tc_nat)
| c_lessequals(c_1,X30,tc_nat) ),
inference(definition_unfolding,[],[f960,f1409]) ).
fof(f960,axiom,
! [X19,X30] :
( ~ c_lessequals(c_Suc(c_0),c_times(X30,X19,tc_nat),tc_nat)
| c_lessequals(c_1,X30,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__le__mult__iff_0) ).
fof(f4633,plain,
( spl0_202
| ~ spl0_102
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f4624,f3829,f3491,f4629]) ).
fof(f4629,plain,
( spl0_202
<=> c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f4624,plain,
( c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_102
| ~ spl0_162 ),
inference(resolution,[],[f4486,f3493]) ).
fof(f4632,plain,
( spl0_202
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f4627,f3829,f4629]) ).
fof(f4627,plain,
( c_1 = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_162 ),
inference(forward_demodulation,[],[f4626,f965]) ).
fof(f965,axiom,
! [X8] : c_plus(c_0,X8,tc_nat) = X8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oop_A_L_Oadd__0_0) ).
fof(f4626,plain,
( c_plus(c_0,c_1,tc_nat) = c_plus(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_plus(c_0,c_1,tc_nat),tc_nat),tc_nat),c_1,tc_nat)
| ~ spl0_162 ),
inference(resolution,[],[f4486,f4400]) ).
fof(f4400,plain,
( ! [X19] : c_less(X19,c_plus(X19,c_1,tc_nat),tc_nat)
| ~ spl0_162 ),
inference(backward_demodulation,[],[f2845,f4385]) ).
fof(f2845,plain,
! [X19] : c_less(X19,c_Finite__Set_Ocard(c_SetInterval_OatMost(X19,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f1657,f1409]) ).
fof(f1657,axiom,
! [X19] : c_less(X19,c_Suc(X19),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f4358,plain,
( spl0_201
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4353,f3491,f4355]) ).
fof(f4355,plain,
( spl0_201
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f4353,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Finite__Set_Ocard(c_SetInterval_OgreaterThanLessThan(c_0,c_1,tc_nat),tc_nat),tc_nat),tc_nat)
| ~ spl0_102 ),
inference(resolution,[],[f3493,f3843]) ).
fof(f4276,plain,
( spl0_200
| ~ spl0_177
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f4271,f4107,f4060,f4273]) ).
fof(f4273,plain,
( spl0_200
<=> c_in(v_sko__4mi(v_S,v_r,v_b),v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f4060,plain,
( spl0_177
<=> c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f4107,plain,
( spl0_184
<=> c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4271,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_A,t_a)
| ~ spl0_177
| ~ spl0_184 ),
inference(resolution,[],[f4137,f4062]) ).
fof(f4062,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f4060]) ).
fof(f4137,plain,
( ! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) )
| ~ spl0_184 ),
inference(resolution,[],[f4109,f1700]) ).
fof(f1700,axiom,
! [X31,X1,X35,X5] :
( ~ c_lessequals(X1,X35,tc_set(X5))
| c_in(X31,X35,X5)
| ~ c_in(X31,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4109,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f4107]) ).
fof(f4199,plain,
( ~ spl0_151
| spl0_199
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f4194,f4080,f4197,f3766]) ).
fof(f3766,plain,
( spl0_151
<=> c_in(v_b,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f4080,plain,
( spl0_180
<=> c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4194,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_180 ),
inference(resolution,[],[f4082,f11]) ).
fof(f11,axiom,
! [X3,X0,X9] :
( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X9),X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X9,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f4082,plain,
( c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4080]) ).
fof(f4190,plain,
( ~ spl0_197
| spl0_198
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f4180,f4114,f4187,f4183]) ).
fof(f4183,plain,
( spl0_197
<=> c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_b,v_b,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f4187,plain,
( spl0_198
<=> v_A = c_Tarski_Ointerval(v_r,v_b,v_b,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f4114,plain,
( spl0_185
<=> c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_b,t_a),v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f4180,plain,
( v_A = c_Tarski_Ointerval(v_r,v_b,v_b,t_a)
| ~ c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_b,v_b,t_a),tc_set(t_a))
| ~ spl0_185 ),
inference(resolution,[],[f4116,f1703]) ).
fof(f1703,axiom,
! [X1,X35,X5] :
( ~ c_lessequals(X35,X1,tc_set(X5))
| X1 = X35
| ~ c_lessequals(X1,X35,tc_set(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4116,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_b,t_a),v_A,tc_set(t_a))
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f4114]) ).
fof(f4179,plain,
( ~ spl0_195
| spl0_196
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f4169,f4102,f4176,f4172]) ).
fof(f4172,plain,
( spl0_195
<=> c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f4176,plain,
( spl0_196
<=> v_A = c_Tarski_Ointerval(v_r,v_a,v_b,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f4102,plain,
( spl0_183
<=> c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_b,t_a),v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f4169,plain,
( v_A = c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| ~ c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| ~ spl0_183 ),
inference(resolution,[],[f4104,f1703]) ).
fof(f4104,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_b,t_a),v_A,tc_set(t_a))
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f4102]) ).
fof(f4168,plain,
( spl0_193
| ~ spl0_194
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4158,f4094,f4165,f4161]) ).
fof(f4161,plain,
( spl0_193
<=> v_A = c_Tarski_Ointerval(v_r,v_b,v_a,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f4165,plain,
( spl0_194
<=> c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_b,v_a,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f4094,plain,
( spl0_182
<=> c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_a,t_a),v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f4158,plain,
( ~ c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_b,v_a,t_a),tc_set(t_a))
| v_A = c_Tarski_Ointerval(v_r,v_b,v_a,t_a)
| ~ spl0_182 ),
inference(resolution,[],[f4096,f1703]) ).
fof(f4096,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_a,t_a),v_A,tc_set(t_a))
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f4094]) ).
fof(f4157,plain,
( spl0_191
| ~ spl0_192
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f4147,f4087,f4154,f4150]) ).
fof(f4150,plain,
( spl0_191
<=> v_A = c_Tarski_Ointerval(v_r,v_a,v_a,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f4154,plain,
( spl0_192
<=> c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_a,v_a,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f4087,plain,
( spl0_181
<=> c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_a,t_a),v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f4147,plain,
( ~ c_lessequals(v_A,c_Tarski_Ointerval(v_r,v_a,v_a,t_a),tc_set(t_a))
| v_A = c_Tarski_Ointerval(v_r,v_a,v_a,t_a)
| ~ spl0_181 ),
inference(resolution,[],[f4089,f1703]) ).
fof(f4089,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_a,t_a),v_A,tc_set(t_a))
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f4087]) ).
fof(f4146,plain,
( ~ spl0_189
| spl0_190
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f4136,f4107,f4143,f4139]) ).
fof(f4139,plain,
( spl0_189
<=> c_lessequals(v_A,v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f4143,plain,
( spl0_190
<=> v_A = v_S ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f4136,plain,
( v_A = v_S
| ~ c_lessequals(v_A,v_S,tc_set(t_a))
| ~ spl0_184 ),
inference(resolution,[],[f4109,f1703]) ).
fof(f4133,plain,
( ~ spl0_186
| spl0_187
| spl0_188
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f4121,f3011,f4131,f4127,f4123]) ).
fof(f4123,plain,
( spl0_186
<=> c_in(v_L,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f4127,plain,
( spl0_187
<=> c_in(v_sko__4mi(v_S,v_r,v_L),v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f4131,plain,
( spl0_188
<=> ! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_L,X0,t_a),t_a)
| ~ c_in(X0,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f4121,plain,
( ! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_L,X0,t_a),t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_L),v_S,t_a)
| ~ c_in(X0,v_A,t_a)
| ~ c_in(v_L,v_A,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f4058,f4050]) ).
fof(f4050,plain,
( ! [X0] :
( c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f10,f3013]) ).
fof(f10,axiom,
! [X3,X0,X9] :
( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X9,v_A,t_a)
| c_in(v_sko__4mi(X0,v_r,X9),X0,t_a)
| c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4058,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(X1,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,X1,X0,t_a),t_a)
| ~ c_in(X0,v_A,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f4050,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
| c_in(X4,c_Tarski_Ointerval(X6,X2,X7,X5),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).
fof(f4117,plain,
( spl0_185
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4111,f3766,f4114]) ).
fof(f4111,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_b,t_a),v_A,tc_set(t_a))
| ~ spl0_151 ),
inference(resolution,[],[f4056,f1704]) ).
fof(f1704,axiom,
! [X1,X5] : c_lessequals(X1,X1,tc_set(X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f4056,plain,
( ! [X1] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(v_r,v_b,v_b,t_a),tc_set(t_a))
| c_lessequals(X1,v_A,tc_set(t_a)) )
| ~ spl0_151 ),
inference(resolution,[],[f4043,f3768]) ).
fof(f3768,plain,
( c_in(v_b,v_A,t_a)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f4043,plain,
( ! [X2,X3] :
( ~ c_in(X3,v_A,t_a)
| c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X3,v_b,t_a),tc_set(t_a)) )
| ~ spl0_151 ),
inference(resolution,[],[f8,f3768]) ).
fof(f8,axiom,
! [X2,X0,X7] :
( ~ c_in(X7,v_A,t_a)
| c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,X2,X7,t_a),tc_set(t_a))
| ~ c_in(X2,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).
fof(f4110,plain,
( spl0_184
| ~ spl0_28
| ~ spl0_134
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4100,f3766,f3675,f3116,f4107]) ).
fof(f3116,plain,
( spl0_28
<=> c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f3675,plain,
( spl0_134
<=> c_in(v_a,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f4100,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ spl0_28
| ~ spl0_134
| ~ spl0_151 ),
inference(resolution,[],[f4055,f3118]) ).
fof(f3118,plain,
( c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f4055,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) )
| ~ spl0_134
| ~ spl0_151 ),
inference(resolution,[],[f4043,f3677]) ).
fof(f3677,plain,
( c_in(v_a,v_A,t_a)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f4105,plain,
( spl0_183
| ~ spl0_134
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4098,f3766,f3675,f4102]) ).
fof(f4098,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_b,t_a),v_A,tc_set(t_a))
| ~ spl0_134
| ~ spl0_151 ),
inference(resolution,[],[f4055,f1704]) ).
fof(f4097,plain,
( spl0_182
| ~ spl0_134
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4091,f3766,f3675,f4094]) ).
fof(f4091,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_b,v_a,t_a),v_A,tc_set(t_a))
| ~ spl0_134
| ~ spl0_151 ),
inference(resolution,[],[f4054,f1704]) ).
fof(f4054,plain,
( ! [X1] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(v_r,v_b,v_a,t_a),tc_set(t_a))
| c_lessequals(X1,v_A,tc_set(t_a)) )
| ~ spl0_134
| ~ spl0_151 ),
inference(resolution,[],[f4042,f3768]) ).
fof(f4042,plain,
( ! [X0,X1] :
( ~ c_in(X1,v_A,t_a)
| c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_a,t_a),tc_set(t_a)) )
| ~ spl0_134 ),
inference(resolution,[],[f8,f3677]) ).
fof(f4090,plain,
( spl0_181
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f4084,f3675,f4087]) ).
fof(f4084,plain,
( c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_a,t_a),v_A,tc_set(t_a))
| ~ spl0_134 ),
inference(resolution,[],[f4053,f1704]) ).
fof(f4053,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,v_a,t_a),tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) )
| ~ spl0_134 ),
inference(resolution,[],[f4042,f3677]) ).
fof(f4083,plain,
( spl0_180
| ~ spl0_28
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f4066,f4060,f3116,f4080]) ).
fof(f4066,plain,
( c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_28
| ~ spl0_177 ),
inference(resolution,[],[f4062,f4049]) ).
fof(f4049,plain,
( ! [X9] :
( ~ c_in(X9,v_S,t_a)
| c_in(c_Pair(X9,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_28 ),
inference(resolution,[],[f6,f3118]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(X4,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4078,plain,
( spl0_179
| ~ spl0_7
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f4068,f4060,f3011,f4075]) ).
fof(f4075,plain,
( spl0_179
<=> c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f4068,plain,
( c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_7
| ~ spl0_177 ),
inference(resolution,[],[f4062,f4041]) ).
fof(f4041,plain,
( ! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_7 ),
inference(resolution,[],[f9,f3013]) ).
fof(f9,axiom,
! [X3,X0,X8] :
( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X8,X0,t_a)
| c_in(c_Pair(X8,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4073,plain,
( spl0_178
| ~ spl0_28
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f4067,f4060,f3116,f4070]) ).
fof(f4070,plain,
( spl0_178
<=> c_in(c_Pair(v_a,v_sko__4mi(v_S,v_r,v_b),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4067,plain,
( c_in(c_Pair(v_a,v_sko__4mi(v_S,v_r,v_b),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_28
| ~ spl0_177 ),
inference(resolution,[],[f4062,f4046]) ).
fof(f4046,plain,
( ! [X9] :
( ~ c_in(X9,v_S,t_a)
| c_in(c_Pair(v_a,X9,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_28 ),
inference(resolution,[],[f5,f3118]) ).
fof(f5,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(X4,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4063,plain,
( ~ spl0_151
| spl0_177
| ~ spl0_7
| spl0_85 ),
inference(avatar_split_clause,[],[f4057,f3403,f3011,f4060,f3766]) ).
fof(f4057,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_in(v_b,v_A,t_a)
| ~ spl0_7
| spl0_85 ),
inference(resolution,[],[f4050,f3405]) ).
fof(f3405,plain,
( ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_85 ),
inference(avatar_component_clause,[],[f3403]) ).
fof(f4038,plain,
( ~ spl0_175
| spl0_176
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f4029,f3116,f4035,f4031]) ).
fof(f4031,plain,
( spl0_175
<=> c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_b,t_a),v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4035,plain,
( spl0_176
<=> v_S = c_Tarski_Ointerval(v_r,v_a,v_b,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4029,plain,
( v_S = c_Tarski_Ointerval(v_r,v_a,v_b,t_a)
| ~ c_lessequals(c_Tarski_Ointerval(v_r,v_a,v_b,t_a),v_S,tc_set(t_a))
| ~ spl0_28 ),
inference(resolution,[],[f1703,f3118]) ).
fof(f4017,plain,
( spl0_174
| ~ spl0_168
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4012,f3972,f3892,f4014]) ).
fof(f4014,plain,
( spl0_174
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f3892,plain,
( spl0_168
<=> c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f4012,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_168
| ~ spl0_171 ),
inference(forward_demodulation,[],[f3894,f3974]) ).
fof(f3894,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f3892]) ).
fof(f3987,plain,
( spl0_173
| ~ spl0_37
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f3976,f3456,f3159,f3984]) ).
fof(f3984,plain,
( spl0_173
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3159,plain,
( spl0_37
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f3456,plain,
( spl0_95
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f3976,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_37
| ~ spl0_95 ),
inference(backward_demodulation,[],[f3458,f3161]) ).
fof(f3161,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f3159]) ).
fof(f3458,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f3456]) ).
fof(f3982,plain,
( spl0_172
| ~ spl0_37
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f3977,f3696,f3159,f3979]) ).
fof(f3979,plain,
( spl0_172
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3696,plain,
( spl0_138
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3977,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_37
| ~ spl0_138 ),
inference(backward_demodulation,[],[f3698,f3161]) ).
fof(f3698,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f3696]) ).
fof(f3975,plain,
( spl0_171
| ~ spl0_125
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3970,f3829,f3622,f3972]) ).
fof(f3970,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_125
| ~ spl0_162 ),
inference(backward_demodulation,[],[f3624,f3831]) ).
fof(f3961,plain,
( spl0_170
| ~ spl0_21
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3948,f3573,f3081,f3958]) ).
fof(f3958,plain,
( spl0_170
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3081,plain,
( spl0_21
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3573,plain,
( spl0_115
<=> 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_115])]) ).
fof(f3948,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_21
| ~ spl0_115 ),
inference(backward_demodulation,[],[f3575,f3083]) ).
fof(f3083,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f3081]) ).
fof(f3575,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3573]) ).
fof(f3956,plain,
( spl0_169
| ~ spl0_21
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f3947,f3440,f3081,f3953]) ).
fof(f3953,plain,
( spl0_169
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3440,plain,
( spl0_92
<=> 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_92])]) ).
fof(f3947,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_21
| ~ spl0_92 ),
inference(backward_demodulation,[],[f3442,f3083]) ).
fof(f3442,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f3895,plain,
( spl0_168
| ~ spl0_39
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f3890,f3622,f3170,f3892]) ).
fof(f3170,plain,
( spl0_39
<=> c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f3890,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_39
| ~ spl0_125 ),
inference(forward_demodulation,[],[f3172,f3624]) ).
fof(f3172,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f3170]) ).
fof(f3866,plain,
spl0_167,
inference(avatar_split_clause,[],[f1727,f3863]) ).
fof(f3863,plain,
( spl0_167
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1727,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3861,plain,
spl0_166,
inference(avatar_split_clause,[],[f1723,f3858]) ).
fof(f3858,plain,
( spl0_166
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1723,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3855,plain,
spl0_165,
inference(avatar_split_clause,[],[f970,f3852]) ).
fof(f3852,plain,
( spl0_165
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f970,axiom,
c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OMin__1__eq_0) ).
fof(f3850,plain,
( spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1363,f3544,f3541]) ).
fof(f3541,plain,
( spl0_109
<=> ! [X5] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f3544,plain,
( spl0_110
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1363,axiom,
! [X5] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3849,plain,
spl0_164,
inference(avatar_split_clause,[],[f1155,f3846]) ).
fof(f3846,plain,
( spl0_164
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1155,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3837,plain,
spl0_163,
inference(avatar_split_clause,[],[f1743,f3834]) ).
fof(f3834,plain,
( spl0_163
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1743,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3832,plain,
spl0_162,
inference(avatar_split_clause,[],[f2903,f3829]) ).
fof(f2903,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f881,f1409]) ).
fof(f881,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3827,plain,
spl0_161,
inference(avatar_split_clause,[],[f1801,f3824]) ).
fof(f3824,plain,
( spl0_161
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1801,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3822,plain,
spl0_160,
inference(avatar_split_clause,[],[f1826,f3819]) ).
fof(f3819,plain,
( spl0_160
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1826,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3817,plain,
spl0_159,
inference(avatar_split_clause,[],[f1747,f3814]) ).
fof(f3814,plain,
( spl0_159
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1747,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3812,plain,
( spl0_158
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f3808,f3544,f3810]) ).
fof(f3810,plain,
( spl0_158
<=> ! [X30] : c_less(c_0,c_Divides_Oop_Amod(X30,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3808,plain,
! [X30] :
( c_0 != c_1
| c_less(c_0,c_Divides_Oop_Amod(X30,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f841,f954]) ).
fof(f954,axiom,
! [X19] :
( c_less(c_0,X19,tc_nat)
| c_0 = X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f841,axiom,
! [X30] :
( c_less(c_0,c_Divides_Oop_Amod(X30,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_1 != c_Divides_Oop_Amod(X30,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3806,plain,
spl0_157,
inference(avatar_split_clause,[],[f1168,f3803]) ).
fof(f3803,plain,
( spl0_157
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1168,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3801,plain,
spl0_156,
inference(avatar_split_clause,[],[f1732,f3798]) ).
fof(f3798,plain,
( spl0_156
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1732,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3796,plain,
spl0_155,
inference(avatar_split_clause,[],[f1761,f3793]) ).
fof(f3793,plain,
( spl0_155
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1761,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3787,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f116,f3031]) ).
fof(f3031,plain,
( spl0_11
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f116,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3785,plain,
spl0_154,
inference(avatar_split_clause,[],[f1774,f3782]) ).
fof(f3782,plain,
( spl0_154
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1774,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3780,plain,
spl0_153,
inference(avatar_split_clause,[],[f251,f3777]) ).
fof(f3777,plain,
( spl0_153
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f251,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3774,plain,
spl0_152,
inference(avatar_split_clause,[],[f541,f3771]) ).
fof(f3771,plain,
( spl0_152
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f541,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__13_0) ).
fof(f3769,plain,
spl0_151,
inference(avatar_split_clause,[],[f2753,f3766]) ).
fof(f2753,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3764,plain,
~ spl0_150,
inference(avatar_split_clause,[],[f2757,f3761]) ).
fof(f3761,plain,
( spl0_150
<=> c_emptyset = c_Tarski_Ointerval(v_r,v_a,v_b,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f2757,axiom,
c_emptyset != c_Tarski_Ointerval(v_r,v_a,v_b,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3759,plain,
spl0_149,
inference(avatar_split_clause,[],[f551,f3756]) ).
fof(f3756,plain,
( spl0_149
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f551,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
fof(f3754,plain,
~ spl0_148,
inference(avatar_split_clause,[],[f1494,f3751]) ).
fof(f3751,plain,
( spl0_148
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1494,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3749,plain,
spl0_147,
inference(avatar_split_clause,[],[f1803,f3746]) ).
fof(f3746,plain,
( spl0_147
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1803,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3741,plain,
spl0_146,
inference(avatar_split_clause,[],[f1807,f3738]) ).
fof(f3738,plain,
( spl0_146
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1807,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3736,plain,
spl0_145,
inference(avatar_split_clause,[],[f1775,f3733]) ).
fof(f3733,plain,
( spl0_145
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1775,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3731,plain,
spl0_144,
inference(avatar_split_clause,[],[f549,f3728]) ).
fof(f3728,plain,
( spl0_144
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f549,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__5_0) ).
fof(f3726,plain,
spl0_143,
inference(avatar_split_clause,[],[f1763,f3723]) ).
fof(f3723,plain,
( spl0_143
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1763,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3721,plain,
spl0_142,
inference(avatar_split_clause,[],[f1749,f3718]) ).
fof(f3718,plain,
( spl0_142
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1749,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3716,plain,
( spl0_141
| spl0_121 ),
inference(avatar_split_clause,[],[f3712,f3605,f3714]) ).
fof(f3714,plain,
( spl0_141
<=> ! [X5] :
( ~ class_Power_Orecpower(X5)
| ~ c_less(c_0,c_0,X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f3605,plain,
( spl0_121
<=> ! [X39] :
( c_0 = c_Numeral_Onumber__of(X39,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X39,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f3712,plain,
! [X39,X5] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X39,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5)
| ~ c_less(c_0,c_0,X5)
| c_0 = c_Numeral_Onumber__of(X39,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1197,f1177]) ).
fof(f1177,axiom,
! [X39,X5] :
( ~ class_Power_Orecpower(X5)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5)
| c_0 = c_Numeral_Onumber__of(X39,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f1197,axiom,
! [X39,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| c_0 = c_Numeral_Onumber__of(X39,tc_nat)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5),X5)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X39,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3711,plain,
spl0_140,
inference(avatar_split_clause,[],[f1020,f3708]) ).
fof(f3708,plain,
( spl0_140
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1020,axiom,
c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Min_0) ).
fof(f3706,plain,
spl0_139,
inference(avatar_split_clause,[],[f1835,f3703]) ).
fof(f3703,plain,
( spl0_139
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1835,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3699,plain,
spl0_138,
inference(avatar_split_clause,[],[f256,f3696]) ).
fof(f256,axiom,
c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__eq__positive_2) ).
fof(f3694,plain,
spl0_137,
inference(avatar_split_clause,[],[f1768,f3691]) ).
fof(f3691,plain,
( spl0_137
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1768,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3689,plain,
spl0_136,
inference(avatar_split_clause,[],[f1725,f3686]) ).
fof(f3686,plain,
( spl0_136
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1725,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3684,plain,
spl0_135,
inference(avatar_split_clause,[],[f1765,f3681]) ).
fof(f3681,plain,
( spl0_135
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1765,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3678,plain,
spl0_134,
inference(avatar_split_clause,[],[f2752,f3675]) ).
fof(f2752,axiom,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3673,plain,
spl0_133,
inference(avatar_split_clause,[],[f2801,f3670]) ).
fof(f3670,plain,
( spl0_133
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f2801,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f991,f994]) ).
fof(f994,axiom,
! [X39] : c_Numeral_Obin__minus(X39) = c_Numeral_Obin__mult(c_Numeral_OMin,X39),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f991,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3667,plain,
spl0_132,
inference(avatar_split_clause,[],[f1748,f3664]) ).
fof(f3664,plain,
( spl0_132
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1748,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3658,plain,
spl0_131,
inference(avatar_split_clause,[],[f1776,f3655]) ).
fof(f3655,plain,
( spl0_131
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1776,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3652,plain,
spl0_130,
inference(avatar_split_clause,[],[f1805,f3649]) ).
fof(f3649,plain,
( spl0_130
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1805,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3647,plain,
spl0_129,
inference(avatar_split_clause,[],[f1808,f3644]) ).
fof(f3644,plain,
( spl0_129
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1808,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3642,plain,
spl0_128,
inference(avatar_split_clause,[],[f1728,f3639]) ).
fof(f3639,plain,
( spl0_128
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1728,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3636,plain,
spl0_127,
inference(avatar_split_clause,[],[f1787,f3633]) ).
fof(f3633,plain,
( spl0_127
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1787,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3630,plain,
spl0_126,
inference(avatar_split_clause,[],[f1393,f3627]) ).
fof(f3627,plain,
( spl0_126
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1393,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3625,plain,
spl0_125,
inference(avatar_split_clause,[],[f2874,f3622]) ).
fof(f2874,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f209,f1409]) ).
fof(f209,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3620,plain,
spl0_124,
inference(avatar_split_clause,[],[f1795,f3617]) ).
fof(f3617,plain,
( spl0_124
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1795,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3615,plain,
spl0_123,
inference(avatar_split_clause,[],[f1762,f3612]) ).
fof(f3612,plain,
( spl0_123
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1762,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3610,plain,
( spl0_121
| spl0_122 ),
inference(avatar_split_clause,[],[f3603,f3608,f3605]) ).
fof(f3608,plain,
( spl0_122
<=> ! [X5] :
( c_lessequals(c_0,c_0,X5)
| ~ class_Power_Orecpower(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f3603,plain,
! [X39,X5] :
( c_lessequals(c_0,c_0,X5)
| ~ class_Ring__and__Field_Oordered__idom(X5)
| c_0 = c_Numeral_Onumber__of(X39,tc_nat)
| ~ class_Power_Orecpower(X5)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X39,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1187,f1177]) ).
fof(f1187,axiom,
! [X39,X5] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X39,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X39,tc_nat)
| c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5),c_0,X5)
| ~ class_Ring__and__Field_Oordered__idom(X5)
| ~ class_Power_Orecpower(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3602,plain,
spl0_120,
inference(avatar_split_clause,[],[f538,f3599]) ).
fof(f3599,plain,
( spl0_120
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f538,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__10_0) ).
fof(f3597,plain,
spl0_30,
inference(avatar_split_clause,[],[f713,f3127]) ).
fof(f3127,plain,
( spl0_30
<=> ! [X40] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X40,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f713,axiom,
! [X40] :
( c_0 = c_Numeral_Onumber__of(X40,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f3596,plain,
spl0_119,
inference(avatar_split_clause,[],[f540,f3593]) ).
fof(f3593,plain,
( spl0_119
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f540,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__12_0) ).
fof(f3591,plain,
spl0_118,
inference(avatar_split_clause,[],[f120,f3588]) ).
fof(f3588,plain,
( spl0_118
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f120,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__2_0) ).
fof(f3586,plain,
spl0_117,
inference(avatar_split_clause,[],[f1742,f3583]) ).
fof(f3583,plain,
( spl0_117
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1742,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3581,plain,
spl0_116,
inference(avatar_split_clause,[],[f1757,f3578]) ).
fof(f3578,plain,
( spl0_116
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1757,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3576,plain,
spl0_115,
inference(avatar_split_clause,[],[f732,f3573]) ).
fof(f732,axiom,
c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__1__eq__1_0) ).
fof(f3571,plain,
spl0_114,
inference(avatar_split_clause,[],[f544,f3568]) ).
fof(f3568,plain,
( spl0_114
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f544,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__16_0) ).
fof(f3566,plain,
spl0_30,
inference(avatar_split_clause,[],[f697,f3127]) ).
fof(f697,axiom,
! [X40] :
( c_0 = c_Numeral_Onumber__of(X40,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_1) ).
fof(f3565,plain,
spl0_113,
inference(avatar_split_clause,[],[f236,f3562]) ).
fof(f3562,plain,
( spl0_113
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f236,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3560,plain,
spl0_112,
inference(avatar_split_clause,[],[f1726,f3557]) ).
fof(f3557,plain,
( spl0_112
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1726,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3555,plain,
spl0_111,
inference(avatar_split_clause,[],[f1809,f3552]) ).
fof(f3552,plain,
( spl0_111
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1809,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3549,plain,
~ spl0_110,
inference(avatar_split_clause,[],[f235,f3544]) ).
fof(f235,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3547,plain,
( spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1260,f3544,f3541]) ).
fof(f1260,axiom,
! [X5] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3537,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f1025,f3185]) ).
fof(f3185,plain,
( spl0_42
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1025,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3531,plain,
spl0_108,
inference(avatar_split_clause,[],[f1804,f3528]) ).
fof(f3528,plain,
( spl0_108
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1804,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3525,plain,
spl0_107,
inference(avatar_split_clause,[],[f1781,f3522]) ).
fof(f3522,plain,
( spl0_107
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1781,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3520,plain,
( spl0_31
| spl0_30 ),
inference(avatar_split_clause,[],[f3519,f3127,f3130]) ).
fof(f3130,plain,
( spl0_31
<=> ! [X80] : ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f3519,plain,
! [X40,X80] :
( c_0 = c_Numeral_Onumber__of(X80,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2979,f714]) ).
fof(f714,axiom,
! [X40] :
( c_0 = c_Numeral_Onumber__of(X40,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f2979,plain,
! [X40,X80] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X40,tc_nat) = c_Numeral_Onumber__of(X80,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f702,axiom,
! [X40,X80] :
( c_Numeral_Onumber__of(X40,tc_nat) = c_Numeral_Onumber__of(X80,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3517,plain,
spl0_106,
inference(avatar_split_clause,[],[f1819,f3514]) ).
fof(f3514,plain,
( spl0_106
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1819,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3512,plain,
spl0_105,
inference(avatar_split_clause,[],[f15,f3509]) ).
fof(f3509,plain,
( spl0_105
<=> c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f15,axiom,
c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_ACompleteLattice_A_61_61_ATrue_0) ).
fof(f3507,plain,
spl0_39,
inference(avatar_split_clause,[],[f2924,f3170]) ).
fof(f2924,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,[],[f929,f1409]) ).
fof(f929,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3506,plain,
spl0_102,
inference(avatar_split_clause,[],[f3505,f3491]) ).
fof(f3505,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_demodulation,[],[f1208,f1209]) ).
fof(f1209,axiom,
! [X43] : c_1 = c_Nat_Opower(X43,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f1208,axiom,
! [X4] : c_less(c_0,c_Nat_Opower(X4,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3504,plain,
spl0_104,
inference(avatar_split_clause,[],[f1752,f3501]) ).
fof(f3501,plain,
( spl0_104
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1752,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3499,plain,
spl0_103,
inference(avatar_split_clause,[],[f548,f3496]) ).
fof(f3496,plain,
( spl0_103
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f548,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__4_0) ).
fof(f3494,plain,
spl0_102,
inference(avatar_split_clause,[],[f914,f3491]) ).
fof(f914,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3489,plain,
spl0_101,
inference(avatar_split_clause,[],[f1816,f3486]) ).
fof(f3486,plain,
( spl0_101
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1816,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3484,plain,
spl0_100,
inference(avatar_split_clause,[],[f1812,f3481]) ).
fof(f3481,plain,
( spl0_100
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3479,plain,
spl0_99,
inference(avatar_split_clause,[],[f1818,f3476]) ).
fof(f3476,plain,
( spl0_99
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1818,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3474,plain,
spl0_98,
inference(avatar_split_clause,[],[f1836,f3471]) ).
fof(f3471,plain,
( spl0_98
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1836,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3469,plain,
spl0_97,
inference(avatar_split_clause,[],[f1764,f3466]) ).
fof(f3466,plain,
( spl0_97
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1764,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3464,plain,
spl0_96,
inference(avatar_split_clause,[],[f1825,f3461]) ).
fof(f3461,plain,
( spl0_96
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1825,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3459,plain,
spl0_95,
inference(avatar_split_clause,[],[f242,f3456]) ).
fof(f242,axiom,
c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__le__0__conv_1) ).
fof(f3454,plain,
~ spl0_94,
inference(avatar_split_clause,[],[f1175,f3451]) ).
fof(f3451,plain,
( spl0_94
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1175,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3448,plain,
spl0_93,
inference(avatar_split_clause,[],[f542,f3445]) ).
fof(f3445,plain,
( spl0_93
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f542,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__14_0) ).
fof(f3443,plain,
spl0_92,
inference(avatar_split_clause,[],[f2956,f3440]) ).
fof(f2956,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f990,f994]) ).
fof(f990,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3438,plain,
spl0_91,
inference(avatar_split_clause,[],[f1759,f3435]) ).
fof(f3435,plain,
( spl0_91
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3433,plain,
spl0_90,
inference(avatar_split_clause,[],[f1767,f3430]) ).
fof(f3430,plain,
( spl0_90
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1767,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3428,plain,
spl0_89,
inference(avatar_split_clause,[],[f1800,f3425]) ).
fof(f3425,plain,
( spl0_89
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1800,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3422,plain,
spl0_88,
inference(avatar_split_clause,[],[f1814,f3419]) ).
fof(f3419,plain,
( spl0_88
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1814,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3417,plain,
spl0_87,
inference(avatar_split_clause,[],[f1432,f3414]) ).
fof(f3414,plain,
( spl0_87
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1432,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3412,plain,
spl0_86,
inference(avatar_split_clause,[],[f1716,f3409]) ).
fof(f3409,plain,
( spl0_86
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1716,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f3406,plain,
~ spl0_85,
inference(avatar_split_clause,[],[f2758,f3403]) ).
fof(f2758,axiom,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3401,plain,
spl0_84,
inference(avatar_split_clause,[],[f553,f3398]) ).
fof(f3398,plain,
( spl0_84
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f553,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__9_0) ).
fof(f3396,plain,
spl0_83,
inference(avatar_split_clause,[],[f545,f3393]) ).
fof(f3393,plain,
( spl0_83
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f545,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__1_0) ).
fof(f3391,plain,
spl0_82,
inference(avatar_split_clause,[],[f1737,f3388]) ).
fof(f3388,plain,
( spl0_82
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1737,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3385,plain,
spl0_81,
inference(avatar_split_clause,[],[f550,f3382]) ).
fof(f3382,plain,
( spl0_81
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f550,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__6_0) ).
fof(f3380,plain,
spl0_80,
inference(avatar_split_clause,[],[f3375,f3377]) ).
fof(f3377,plain,
( spl0_80
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f3375,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(forward_demodulation,[],[f351,f329]) ).
fof(f329,axiom,
! [X43] : c_1 = c_Nat_Opower(X43,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f351,axiom,
! [X4] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X4,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3374,plain,
spl0_79,
inference(avatar_split_clause,[],[f547,f3371]) ).
fof(f3371,plain,
( spl0_79
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f547,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__3_0) ).
fof(f3369,plain,
spl0_78,
inference(avatar_split_clause,[],[f1399,f3366]) ).
fof(f3366,plain,
( spl0_78
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1399,axiom,
c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__0_0) ).
fof(f3364,plain,
spl0_77,
inference(avatar_split_clause,[],[f1769,f3361]) ).
fof(f3361,plain,
( spl0_77
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1769,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3359,plain,
spl0_76,
inference(avatar_split_clause,[],[f2817,f3356]) ).
fof(f3356,plain,
( spl0_76
<=> 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_76])]) ).
fof(f2817,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f998,f977]) ).
fof(f977,axiom,
! [X39] : c_Numeral_Obin__add(c_Numeral_OMin,X39) = c_Numeral_Obin__pred(X39),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).
fof(f998,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3354,plain,
spl0_75,
inference(avatar_split_clause,[],[f1806,f3351]) ).
fof(f3351,plain,
( spl0_75
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1806,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3349,plain,
spl0_74,
inference(avatar_split_clause,[],[f1722,f3346]) ).
fof(f3346,plain,
( spl0_74
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1722,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3344,plain,
spl0_73,
inference(avatar_split_clause,[],[f1833,f3341]) ).
fof(f3341,plain,
( spl0_73
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1833,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3339,plain,
spl0_72,
inference(avatar_split_clause,[],[f1772,f3336]) ).
fof(f3336,plain,
( spl0_72
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1772,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3334,plain,
spl0_71,
inference(avatar_split_clause,[],[f1770,f3331]) ).
fof(f3331,plain,
( spl0_71
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1770,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3329,plain,
spl0_70,
inference(avatar_split_clause,[],[f1724,f3326]) ).
fof(f3326,plain,
( spl0_70
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3324,plain,
spl0_69,
inference(avatar_split_clause,[],[f1745,f3321]) ).
fof(f3321,plain,
( spl0_69
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1745,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3319,plain,
spl0_68,
inference(avatar_split_clause,[],[f1778,f3316]) ).
fof(f3316,plain,
( spl0_68
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1778,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3314,plain,
spl0_67,
inference(avatar_split_clause,[],[f1802,f3311]) ).
fof(f3311,plain,
( spl0_67
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1802,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3309,plain,
spl0_66,
inference(avatar_split_clause,[],[f1718,f3306]) ).
fof(f3306,plain,
( spl0_66
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1718,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3304,plain,
spl0_65,
inference(avatar_split_clause,[],[f543,f3301]) ).
fof(f3301,plain,
( spl0_65
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f543,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__15_0) ).
fof(f3299,plain,
spl0_64,
inference(avatar_split_clause,[],[f1029,f3296]) ).
fof(f3296,plain,
( spl0_64
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1029,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__2_0) ).
fof(f3294,plain,
spl0_63,
inference(avatar_split_clause,[],[f1746,f3291]) ).
fof(f3291,plain,
( spl0_63
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1746,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3289,plain,
spl0_62,
inference(avatar_split_clause,[],[f1766,f3286]) ).
fof(f3286,plain,
( spl0_62
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1766,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3284,plain,
spl0_61,
inference(avatar_split_clause,[],[f1740,f3281]) ).
fof(f3281,plain,
( spl0_61
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1740,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f3279,plain,
spl0_60,
inference(avatar_split_clause,[],[f1773,f3276]) ).
fof(f3276,plain,
( spl0_60
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1773,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3274,plain,
spl0_59,
inference(avatar_split_clause,[],[f1790,f3271]) ).
fof(f3271,plain,
( spl0_59
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1790,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3267,plain,
spl0_58,
inference(avatar_split_clause,[],[f1028,f3264]) ).
fof(f3264,plain,
( spl0_58
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1028,axiom,
c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Osize__1_0) ).
fof(f3262,plain,
spl0_57,
inference(avatar_split_clause,[],[f1811,f3259]) ).
fof(f3259,plain,
( spl0_57
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1811,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3257,plain,
spl0_56,
inference(avatar_split_clause,[],[f1735,f3254]) ).
fof(f3254,plain,
( spl0_56
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1735,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3252,plain,
spl0_55,
inference(avatar_split_clause,[],[f1730,f3249]) ).
fof(f3249,plain,
( spl0_55
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1730,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3247,plain,
spl0_54,
inference(avatar_split_clause,[],[f215,f3244]) ).
fof(f3244,plain,
( spl0_54
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f215,axiom,
c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Ozabs__less__one__iff_1) ).
fof(f3242,plain,
spl0_53,
inference(avatar_split_clause,[],[f1760,f3239]) ).
fof(f3239,plain,
( spl0_53
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3237,plain,
spl0_52,
inference(avatar_split_clause,[],[f1824,f3234]) ).
fof(f3234,plain,
( spl0_52
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1824,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3232,plain,
spl0_51,
inference(avatar_split_clause,[],[f1750,f3229]) ).
fof(f3229,plain,
( spl0_51
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1750,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3227,plain,
spl0_50,
inference(avatar_split_clause,[],[f1830,f3224]) ).
fof(f3224,plain,
( spl0_50
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1830,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3222,plain,
spl0_49,
inference(avatar_split_clause,[],[f1828,f3219]) ).
fof(f3219,plain,
( spl0_49
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1828,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3217,plain,
spl0_48,
inference(avatar_split_clause,[],[f49,f3214]) ).
fof(f3214,plain,
( spl0_48
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f49,axiom,
c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ounit_Osize_0) ).
fof(f3212,plain,
spl0_47,
inference(avatar_split_clause,[],[f546,f3209]) ).
fof(f3209,plain,
( spl0_47
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f546,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__2_0) ).
fof(f3207,plain,
spl0_46,
inference(avatar_split_clause,[],[f1822,f3204]) ).
fof(f3204,plain,
( spl0_46
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1822,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3202,plain,
( ~ spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f3194,f3200,f3196]) ).
fof(f3196,plain,
( spl0_44
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f3200,plain,
( spl0_45
<=> ! [X5,X39] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| ~ class_Power_Orecpower(X5)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3194,plain,
! [X39,X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| ~ c_less(c_0,c_0,tc_nat)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5)
| ~ class_Power_Orecpower(X5) ),
inference(forward_subsumption_demodulation,[],[f1180,f1177]) ).
fof(f1180,axiom,
! [X39,X5] :
( c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X39,tc_nat),X5)
| ~ class_Ring__and__Field_Oordered__idom(X5)
| ~ class_Power_Orecpower(X5)
| ~ c_less(c_0,c_Numeral_Onumber__of(X39,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__eq__0__iff__number__of_2) ).
fof(f3193,plain,
~ spl0_43,
inference(avatar_split_clause,[],[f2755,f3190]) ).
fof(f3190,plain,
( spl0_43
<=> c_emptyset = v_S ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2755,axiom,
c_emptyset != v_S,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3188,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f1024,f3185]) ).
fof(f1024,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3183,plain,
spl0_41,
inference(avatar_split_clause,[],[f731,f3180]) ).
fof(f3180,plain,
( spl0_41
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f731,axiom,
c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Onat__numeral__0__eq__0_0) ).
fof(f3178,plain,
spl0_40,
inference(avatar_split_clause,[],[f1754,f3175]) ).
fof(f3175,plain,
( spl0_40
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1754,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3173,plain,
spl0_39,
inference(avatar_split_clause,[],[f2902,f3170]) ).
fof(f2902,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,[],[f959,f1409]) ).
fof(f959,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3167,plain,
spl0_38,
inference(avatar_split_clause,[],[f1827,f3164]) ).
fof(f3164,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1827,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3162,plain,
spl0_37,
inference(avatar_split_clause,[],[f239,f3159]) ).
fof(f239,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3157,plain,
spl0_36,
inference(avatar_split_clause,[],[f1734,f3154]) ).
fof(f3154,plain,
( spl0_36
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1734,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3152,plain,
spl0_35,
inference(avatar_split_clause,[],[f1739,f3149]) ).
fof(f3149,plain,
( spl0_35
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1739,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3147,plain,
( spl0_30
| spl0_34 ),
inference(avatar_split_clause,[],[f3143,f3145,f3127]) ).
fof(f3145,plain,
( spl0_34
<=> ! [X40] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3143,plain,
! [X40,X80] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X80,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f706,f714]) ).
fof(f706,axiom,
! [X40,X80] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X40,tc_nat) = c_Numeral_Onumber__of(X80,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f3142,plain,
spl0_33,
inference(avatar_split_clause,[],[f1834,f3139]) ).
fof(f3139,plain,
( spl0_33
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1834,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3137,plain,
spl0_32,
inference(avatar_split_clause,[],[f1731,f3134]) ).
fof(f3134,plain,
( spl0_32
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1731,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3132,plain,
( spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f3125,f3130,f3127]) ).
fof(f3125,plain,
! [X40,X80] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X40,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f708,f714]) ).
fof(f708,axiom,
! [X40,X80] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X80,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X40,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X40,tc_nat) = c_Numeral_Onumber__of(X80,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3124,plain,
spl0_29,
inference(avatar_split_clause,[],[f552,f3121]) ).
fof(f3121,plain,
( spl0_29
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f552,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__8_0) ).
fof(f3119,plain,
spl0_28,
inference(avatar_split_clause,[],[f2754,f3116]) ).
fof(f2754,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3114,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f174,f3111]) ).
fof(f3111,plain,
( spl0_27
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f174,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__infinite_0) ).
fof(f3109,plain,
spl0_26,
inference(avatar_split_clause,[],[f1831,f3106]) ).
fof(f3106,plain,
( spl0_26
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1831,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3104,plain,
spl0_25,
inference(avatar_split_clause,[],[f1817,f3101]) ).
fof(f3101,plain,
( spl0_25
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1817,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3099,plain,
spl0_24,
inference(avatar_split_clause,[],[f1823,f3096]) ).
fof(f3096,plain,
( spl0_24
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1823,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3094,plain,
spl0_23,
inference(avatar_split_clause,[],[f1786,f3091]) ).
fof(f3091,plain,
( spl0_23
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1786,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3089,plain,
spl0_22,
inference(avatar_split_clause,[],[f539,f3086]) ).
fof(f3086,plain,
( spl0_22
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f539,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__11_0) ).
fof(f3084,plain,
spl0_21,
inference(avatar_split_clause,[],[f1021,f3081]) ).
fof(f1021,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__succ__Pls_0) ).
fof(f3079,plain,
spl0_20,
inference(avatar_split_clause,[],[f344,f3076]) ).
fof(f3076,plain,
( spl0_20
<=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f344,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left_1) ).
fof(f3074,plain,
spl0_19,
inference(avatar_split_clause,[],[f1758,f3071]) ).
fof(f3071,plain,
( spl0_19
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3069,plain,
spl0_18,
inference(avatar_split_clause,[],[f908,f3066]) ).
fof(f3066,plain,
( spl0_18
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f908,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3064,plain,
spl0_17,
inference(avatar_split_clause,[],[f1753,f3061]) ).
fof(f3061,plain,
( spl0_17
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1753,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3059,plain,
spl0_16,
inference(avatar_split_clause,[],[f1821,f3056]) ).
fof(f3056,plain,
( spl0_16
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1821,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3054,plain,
spl0_15,
inference(avatar_split_clause,[],[f1751,f3051]) ).
fof(f3051,plain,
( spl0_15
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1751,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3049,plain,
spl0_14,
inference(avatar_split_clause,[],[f1815,f3046]) ).
fof(f3046,plain,
( spl0_14
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1815,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3044,plain,
spl0_13,
inference(avatar_split_clause,[],[f119,f3041]) ).
fof(f3041,plain,
( spl0_13
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f119,axiom,
c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Osize__1_0) ).
fof(f3039,plain,
spl0_12,
inference(avatar_split_clause,[],[f1741,f3036]) ).
fof(f3036,plain,
( spl0_12
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3034,plain,
~ spl0_11,
inference(avatar_split_clause,[],[f115,f3031]) ).
fof(f115,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3029,plain,
spl0_10,
inference(avatar_split_clause,[],[f1820,f3026]) ).
fof(f3026,plain,
( spl0_10
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1820,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3024,plain,
spl0_9,
inference(avatar_split_clause,[],[f1756,f3021]) ).
fof(f3021,plain,
( spl0_9
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1756,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3019,plain,
spl0_8,
inference(avatar_split_clause,[],[f1813,f3016]) ).
fof(f3016,plain,
( spl0_8
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1813,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3014,plain,
spl0_7,
inference(avatar_split_clause,[],[f2756,f3011]) ).
fof(f2756,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3009,plain,
spl0_6,
inference(avatar_split_clause,[],[f971,f3006]) ).
fof(f3006,plain,
( spl0_6
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f971,axiom,
c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_OPls__0__eq_0) ).
fof(f3004,plain,
spl0_5,
inference(avatar_split_clause,[],[f1729,f3001]) ).
fof(f3001,plain,
( spl0_5
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1729,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f2999,plain,
spl0_4,
inference(avatar_split_clause,[],[f2856,f2996]) ).
fof(f2996,plain,
( spl0_4
<=> 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_4])]) ).
fof(f2856,plain,
c_less(c_0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f912,f1409]) ).
fof(f912,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0_1) ).
fof(f2994,plain,
spl0_3,
inference(avatar_split_clause,[],[f1738,f2991]) ).
fof(f2991,plain,
( spl0_3
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1738,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f2989,plain,
spl0_2,
inference(avatar_split_clause,[],[f1810,f2986]) ).
fof(f2986,plain,
( spl0_2
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1810,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f2984,plain,
spl0_1,
inference(avatar_split_clause,[],[f1736,f2981]) ).
fof(f2981,plain,
( spl0_1
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1736,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT273-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:57:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (30881)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (30872)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.53 % (30864)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (30859)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55 % (30887)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (30864)Instruction limit reached!
% 0.20/0.55 % (30864)------------------------------
% 0.20/0.55 % (30864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30864)Termination reason: Unknown
% 0.20/0.55 % (30864)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (30864)Memory used [KB]: 3326
% 0.20/0.55 % (30864)Time elapsed: 0.011 s
% 0.20/0.55 % (30864)Instructions burned: 8 (million)
% 0.20/0.55 % (30864)------------------------------
% 0.20/0.55 % (30864)------------------------------
% 0.20/0.55 % (30869)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (30862)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56 % (30861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (30863)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (30858)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (30878)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.57 % (30883)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57 % (30886)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.57 % (30860)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (30884)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58 % (30857)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.58 % (30870)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (30874)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.58 % (30877)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58 % (30875)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58 % (30871)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.58 % (30873)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (30859)Instruction limit reached!
% 0.20/0.59 % (30859)------------------------------
% 0.20/0.59 % (30859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (30879)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.59 % (30866)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (30880)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.59 % (30868)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.59 % (30867)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.59 % (30865)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59 % (30865)Instruction limit reached!
% 0.20/0.59 % (30865)------------------------------
% 0.20/0.59 % (30865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (30865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (30865)Termination reason: Unknown
% 0.20/0.59 % (30865)Termination phase: shuffling
% 0.20/0.59
% 0.20/0.59 % (30865)Memory used [KB]: 3070
% 0.20/0.59 % (30865)Time elapsed: 0.002 s
% 0.20/0.59 % (30865)Instructions burned: 2 (million)
% 0.20/0.59 % (30865)------------------------------
% 0.20/0.59 % (30865)------------------------------
% 0.20/0.59 % (30882)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.60 % (30885)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)
% 1.69/0.61 % (30859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (30859)Termination reason: Unknown
% 1.69/0.61 % (30859)Termination phase: Property scanning
% 1.69/0.61
% 1.69/0.61 % (30859)Memory used [KB]: 3582
% 1.69/0.61 % (30859)Time elapsed: 0.021 s
% 1.69/0.61 % (30859)Instructions burned: 38 (million)
% 1.69/0.61 % (30859)------------------------------
% 1.69/0.61 % (30859)------------------------------
% 1.84/0.64 % (30863)Instruction limit reached!
% 1.84/0.64 % (30863)------------------------------
% 1.84/0.64 % (30863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (30863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (30863)Termination reason: Unknown
% 1.84/0.64 % (30863)Termination phase: Finite model building preprocessing
% 1.84/0.64
% 1.84/0.64 % (30863)Memory used [KB]: 4221
% 1.84/0.64 % (30863)Time elapsed: 0.028 s
% 1.84/0.64 % (30863)Instructions burned: 52 (million)
% 1.84/0.64 % (30863)------------------------------
% 1.84/0.64 % (30863)------------------------------
% 1.84/0.64 % (30861)Instruction limit reached!
% 1.84/0.64 % (30861)------------------------------
% 1.84/0.64 % (30861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (30861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (30861)Termination reason: Unknown
% 1.84/0.64 % (30861)Termination phase: Property scanning
% 1.84/0.64
% 1.84/0.64 % (30861)Memory used [KB]: 3454
% 1.84/0.64 % (30861)Time elapsed: 0.028 s
% 1.84/0.64 % (30861)Instructions burned: 53 (million)
% 1.84/0.64 % (30861)------------------------------
% 1.84/0.64 % (30861)------------------------------
% 1.84/0.64 % (30862)Instruction limit reached!
% 1.84/0.64 % (30862)------------------------------
% 1.84/0.64 % (30862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (30862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (30862)Termination reason: Unknown
% 1.84/0.64 % (30862)Termination phase: Saturation
% 1.84/0.64
% 1.84/0.64 % (30862)Memory used [KB]: 8187
% 1.84/0.64 % (30862)Time elapsed: 0.027 s
% 1.84/0.64 % (30862)Instructions burned: 48 (million)
% 1.84/0.64 % (30862)------------------------------
% 1.84/0.64 % (30862)------------------------------
% 1.84/0.65 % (30867)Instruction limit reached!
% 1.84/0.65 % (30867)------------------------------
% 1.84/0.65 % (30867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.66 % (30872)Instruction limit reached!
% 1.84/0.66 % (30872)------------------------------
% 1.84/0.66 % (30872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.66 % (30872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.66 % (30872)Termination reason: Unknown
% 1.84/0.66 % (30872)Termination phase: Saturation
% 1.84/0.66
% 1.84/0.66 % (30872)Memory used [KB]: 4093
% 1.84/0.66 % (30872)Time elapsed: 0.039 s
% 1.84/0.66 % (30872)Instructions burned: 75 (million)
% 1.84/0.66 % (30872)------------------------------
% 1.84/0.66 % (30872)------------------------------
% 1.84/0.66 % (30860)Instruction limit reached!
% 1.84/0.66 % (30860)------------------------------
% 1.84/0.66 % (30860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.66 % (30860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.66 % (30860)Termination reason: Unknown
% 1.84/0.66 % (30860)Termination phase: Saturation
% 1.84/0.66
% 1.84/0.66 % (30860)Memory used [KB]: 8571
% 1.84/0.66 % (30860)Time elapsed: 0.034 s
% 1.84/0.66 % (30860)Instructions burned: 52 (million)
% 1.84/0.66 % (30860)------------------------------
% 1.84/0.66 % (30860)------------------------------
% 1.84/0.67 % (30874)Instruction limit reached!
% 1.84/0.67 % (30874)------------------------------
% 1.84/0.67 % (30874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.67 % (30874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.67 % (30874)Termination reason: Unknown
% 1.84/0.67 % (30874)Termination phase: Blocked clause elimination
% 1.84/0.67
% 1.84/0.67 % (30874)Memory used [KB]: 4093
% 1.84/0.67 % (30874)Time elapsed: 0.029 s
% 1.84/0.67 % (30874)Instructions burned: 59 (million)
% 1.84/0.67 % (30874)------------------------------
% 1.84/0.67 % (30874)------------------------------
% 1.84/0.67 % (30866)Instruction limit reached!
% 1.84/0.67 % (30866)------------------------------
% 1.84/0.67 % (30866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.67 % (30866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.67 % (30866)Termination reason: Unknown
% 1.84/0.67 % (30866)Termination phase: Saturation
% 1.84/0.67
% 1.84/0.67 % (30866)Memory used [KB]: 4093
% 1.84/0.67 % (30866)Time elapsed: 0.028 s
% 1.84/0.67 % (30866)Instructions burned: 51 (million)
% 1.84/0.67 % (30866)------------------------------
% 1.84/0.67 % (30866)------------------------------
% 1.84/0.67 % (30858)Instruction limit reached!
% 1.84/0.67 % (30858)------------------------------
% 1.84/0.67 % (30858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.67 % (30858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.67 % (30858)Termination reason: Unknown
% 1.84/0.67 % (30858)Termination phase: Saturation
% 1.84/0.67
% 1.84/0.67 % (30858)Memory used [KB]: 8443
% 1.84/0.67 % (30858)Time elapsed: 0.029 s
% 1.84/0.67 % (30858)Instructions burned: 51 (million)
% 1.84/0.67 % (30858)------------------------------
% 1.84/0.67 % (30858)------------------------------
% 1.84/0.67 % (30867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.67 % (30867)Termination reason: Unknown
% 1.84/0.67 % (30867)Termination phase: Saturation
% 1.84/0.67
% 1.84/0.67 % (30867)Memory used [KB]: 8315
% 1.84/0.67 % (30867)Time elapsed: 0.026 s
% 1.84/0.67 % (30867)Instructions burned: 50 (million)
% 1.84/0.67 % (30867)------------------------------
% 1.84/0.67 % (30867)------------------------------
% 1.84/0.68 % (30967)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 (2998ds/388Mi)
% 1.84/0.68 % (30871)Instruction limit reached!
% 1.84/0.68 % (30871)------------------------------
% 1.84/0.68 % (30871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.68 % (30871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.68 % (30871)Termination reason: Unknown
% 1.84/0.68 % (30871)Termination phase: Saturation
% 1.84/0.68
% 1.84/0.68 % (30871)Memory used [KB]: 10618
% 1.84/0.68 % (30871)Time elapsed: 0.039 s
% 1.84/0.68 % (30871)Instructions burned: 69 (million)
% 1.84/0.68 % (30871)------------------------------
% 1.84/0.68 % (30871)------------------------------
% 2.39/0.72 % (30976)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)
% 2.39/0.72 % (30869)Instruction limit reached!
% 2.39/0.72 % (30869)------------------------------
% 2.39/0.72 % (30869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.72 % (30869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.72 % (30869)Termination reason: Unknown
% 2.39/0.72 % (30869)Termination phase: Saturation
% 2.39/0.72
% 2.39/0.72 % (30869)Memory used [KB]: 9210
% 2.39/0.72 % (30869)Time elapsed: 0.093 s
% 2.39/0.72 % (30869)Instructions burned: 101 (million)
% 2.39/0.72 % (30869)------------------------------
% 2.39/0.72 % (30869)------------------------------
% 2.39/0.73 % (30983)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.39/0.74 % (30884)Instruction limit reached!
% 2.39/0.74 % (30884)------------------------------
% 2.39/0.74 % (30884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.74 % (30884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.74 % (30884)Termination reason: Unknown
% 2.39/0.74 % (30884)Termination phase: Saturation
% 2.39/0.74
% 2.39/0.74 % (30884)Memory used [KB]: 10618
% 2.39/0.74 % (30884)Time elapsed: 0.037 s
% 2.39/0.74 % (30884)Instructions burned: 69 (million)
% 2.39/0.74 % (30884)------------------------------
% 2.39/0.74 % (30884)------------------------------
% 2.39/0.74 % (30873)Instruction limit reached!
% 2.39/0.74 % (30873)------------------------------
% 2.39/0.74 % (30873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.74 % (30873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.74 % (30873)Termination reason: Unknown
% 2.39/0.74 % (30873)Termination phase: Saturation
% 2.39/0.74
% 2.39/0.74 % (30873)Memory used [KB]: 8443
% 2.39/0.74 % (30873)Time elapsed: 0.306 s
% 2.39/0.74 % (30873)Instructions burned: 99 (million)
% 2.39/0.74 % (30873)------------------------------
% 2.39/0.74 % (30873)------------------------------
% 2.39/0.77 % (30994)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.75/0.77 % (30870)Instruction limit reached!
% 2.75/0.77 % (30870)------------------------------
% 2.75/0.77 % (30870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.77 % (30870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.77 % (30870)Termination reason: Unknown
% 2.75/0.77 % (30870)Termination phase: Saturation
% 2.75/0.77
% 2.75/0.77 % (30870)Memory used [KB]: 9083
% 2.75/0.77 % (30870)Time elapsed: 0.058 s
% 2.75/0.77 % (30870)Instructions burned: 100 (million)
% 2.75/0.77 % (30870)------------------------------
% 2.75/0.77 % (30870)------------------------------
% 2.75/0.77 % (30877)Instruction limit reached!
% 2.75/0.77 % (30877)------------------------------
% 2.75/0.77 % (30877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.77 % (30877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.77 % (30877)Termination reason: Unknown
% 2.75/0.77 % (30877)Termination phase: Saturation
% 2.75/0.77
% 2.75/0.77 % (30877)Memory used [KB]: 4477
% 2.75/0.77 % (30877)Time elapsed: 0.055 s
% 2.75/0.77 % (30877)Instructions burned: 100 (million)
% 2.75/0.77 % (30877)------------------------------
% 2.75/0.77 % (30877)------------------------------
% 2.75/0.78 % (30996)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.75/0.78 % (31013)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)
% 2.75/0.78 % (31001)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.75/0.78 % (30868)Instruction limit reached!
% 2.75/0.78 % (30868)------------------------------
% 2.75/0.78 % (30868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.78 % (30868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.78 % (30868)Termination reason: Unknown
% 2.75/0.78 % (30868)Termination phase: Saturation
% 2.75/0.78
% 2.75/0.78 % (30868)Memory used [KB]: 9210
% 2.75/0.78 % (30868)Time elapsed: 0.336 s
% 2.75/0.78 % (30868)Instructions burned: 100 (million)
% 2.75/0.78 % (30868)------------------------------
% 2.75/0.78 % (30868)------------------------------
% 2.75/0.78 % (30875)Instruction limit reached!
% 2.75/0.78 % (30875)------------------------------
% 2.75/0.78 % (30875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.78 % (30875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.78 % (30875)Termination reason: Unknown
% 2.75/0.78 % (30875)Termination phase: Saturation
% 2.75/0.78
% 2.75/0.78 % (30875)Memory used [KB]: 9338
% 2.75/0.78 % (30875)Time elapsed: 0.059 s
% 2.75/0.78 % (30875)Instructions burned: 101 (million)
% 2.75/0.78 % (30875)------------------------------
% 2.75/0.78 % (30875)------------------------------
% 2.75/0.79 % (31004)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)
% 2.75/0.79 % (31007)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)
% 2.75/0.80 % (31009)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)
% 2.75/0.81 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.75/0.81 % (31011)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)
% 2.75/0.81 % (31012)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)
% 2.75/0.82 % (31022)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.75/0.83 % (30879)Instruction limit reached!
% 2.75/0.83 % (30879)------------------------------
% 2.75/0.83 % (30879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.84 % (31051)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)
% 2.75/0.84 % (30879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.84 % (30879)Termination reason: Unknown
% 2.75/0.84 % (30879)Termination phase: Saturation
% 2.75/0.84
% 2.75/0.84 % (30879)Memory used [KB]: 9722
% 2.75/0.84 % (30879)Time elapsed: 0.080 s
% 2.75/0.84 % (30879)Instructions burned: 138 (million)
% 2.75/0.84 % (30879)------------------------------
% 2.75/0.84 % (30879)------------------------------
% 2.75/0.84 % (30983)Instruction limit reached!
% 2.75/0.84 % (30983)------------------------------
% 2.75/0.84 % (30983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.86 % (30983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.86 % (30983)Termination reason: Unknown
% 2.75/0.86 % (30983)Termination phase: Saturation
% 2.75/0.86
% 2.75/0.86 % (30983)Memory used [KB]: 8699
% 2.75/0.86 % (30983)Time elapsed: 0.189 s
% 2.75/0.86 % (30983)Instructions burned: 91 (million)
% 2.75/0.86 % (30983)------------------------------
% 2.75/0.86 % (30983)------------------------------
% 3.14/0.87 % (31056)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.14/0.87 % (30878)Instruction limit reached!
% 3.14/0.87 % (30878)------------------------------
% 3.14/0.87 % (30878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.87 % (30878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.87 % (30878)Termination reason: Unknown
% 3.14/0.87 % (30878)Termination phase: Saturation
% 3.14/0.87
% 3.14/0.87 % (30878)Memory used [KB]: 9850
% 3.14/0.87 % (30878)Time elapsed: 0.098 s
% 3.14/0.87 % (30878)Instructions burned: 177 (million)
% 3.14/0.87 % (30878)------------------------------
% 3.14/0.87 % (30878)------------------------------
% 3.14/0.88 % (31057)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.25/0.90 % (31059)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)
% 3.25/0.91 % (31058)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.25/0.91 % (30885)Instruction limit reached!
% 3.25/0.91 % (30885)------------------------------
% 3.25/0.91 % (30885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.91 % (30885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.91 % (30885)Termination reason: Unknown
% 3.25/0.91 % (30885)Termination phase: Saturation
% 3.25/0.91
% 3.25/0.91 % (30885)Memory used [KB]: 5373
% 3.25/0.91 % (30885)Time elapsed: 0.456 s
% 3.25/0.91 % (30885)Instructions burned: 177 (million)
% 3.25/0.91 % (30885)------------------------------
% 3.25/0.91 % (30885)------------------------------
% 3.25/0.91 % (31061)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)
% 3.25/0.91 % (31012)Instruction limit reached!
% 3.25/0.91 % (31012)------------------------------
% 3.25/0.91 % (31012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.91 % (31012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.91 % (31012)Termination reason: Unknown
% 3.25/0.91 % (31012)Termination phase: Saturation
% 3.25/0.91
% 3.25/0.91 % (31012)Memory used [KB]: 8699
% 3.25/0.91 % (31012)Time elapsed: 0.205 s
% 3.25/0.91 % (31012)Instructions burned: 90 (million)
% 3.25/0.91 % (31012)------------------------------
% 3.25/0.91 % (31012)------------------------------
% 3.25/0.92 % (31060)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)
% 3.41/0.93 % (31007)Instruction limit reached!
% 3.41/0.93 % (31007)------------------------------
% 3.41/0.93 % (31007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.41/0.93 % (31007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.41/0.93 % (31007)Termination reason: Unknown
% 3.41/0.93 % (31007)Termination phase: Saturation
% 3.41/0.93
% 3.41/0.93 % (31007)Memory used [KB]: 10618
% 3.41/0.93 % (31007)Time elapsed: 0.036 s
% 3.41/0.93 % (31007)Instructions burned: 68 (million)
% 3.41/0.93 % (31007)------------------------------
% 3.41/0.93 % (31007)------------------------------
% 3.41/0.93 % (31062)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.41/0.96 % (31063)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.65/1.01 % (31059)Instruction limit reached!
% 3.65/1.01 % (31059)------------------------------
% 3.65/1.01 % (31059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/1.01 % (31059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/1.01 % (31059)Termination reason: Unknown
% 3.65/1.01 % (31059)Termination phase: Saturation
% 3.65/1.01
% 3.65/1.01 % (31059)Memory used [KB]: 10618
% 3.65/1.01 % (31059)Time elapsed: 0.034 s
% 3.65/1.01 % (31059)Instructions burned: 69 (million)
% 3.65/1.01 % (31059)------------------------------
% 3.65/1.01 % (31059)------------------------------
% 3.65/1.02 % (31064)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.65/1.05 % (31065)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.65/1.06 % (31066)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.88/1.07 % (31067)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 (2994ds/9965Mi)
% 3.88/1.08 % (30887)Instruction limit reached!
% 3.88/1.08 % (30887)------------------------------
% 3.88/1.08 % (30887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.08 % (30887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.08 % (30887)Termination reason: Unknown
% 3.88/1.08 % (30887)Termination phase: Saturation
% 3.88/1.08
% 3.88/1.08 % (30887)Memory used [KB]: 11001
% 3.88/1.08 % (30887)Time elapsed: 0.616 s
% 3.88/1.08 % (30887)Instructions burned: 357 (million)
% 3.88/1.08 % (30887)------------------------------
% 3.88/1.08 % (30887)------------------------------
% 3.88/1.08 % (30976)Instruction limit reached!
% 3.88/1.08 % (30976)------------------------------
% 3.88/1.08 % (30976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.08 % (30976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.08 % (30976)Termination reason: Unknown
% 3.88/1.08 % (30976)Termination phase: Saturation
% 3.88/1.08
% 3.88/1.08 % (30976)Memory used [KB]: 5884
% 3.88/1.08 % (30976)Time elapsed: 0.456 s
% 3.88/1.08 % (30976)Instructions burned: 212 (million)
% 3.88/1.08 % (30976)------------------------------
% 3.88/1.08 % (30976)------------------------------
% 3.88/1.15 % (30881)Instruction limit reached!
% 3.88/1.15 % (30881)------------------------------
% 3.88/1.15 % (30881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.15 % (30881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.15 % (30881)Termination reason: Unknown
% 3.88/1.15 % (30881)Termination phase: Saturation
% 3.88/1.15
% 3.88/1.15 % (30881)Memory used [KB]: 16886
% 3.88/1.15 % (30881)Time elapsed: 0.662 s
% 3.88/1.15 % (30881)Instructions burned: 467 (million)
% 3.88/1.15 % (30881)------------------------------
% 3.88/1.15 % (30881)------------------------------
% 3.88/1.15 % (31064)Instruction limit reached!
% 3.88/1.15 % (31064)------------------------------
% 3.88/1.15 % (31064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.15 % (31064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.15 % (31064)Termination reason: Unknown
% 3.88/1.15 % (31064)Termination phase: Saturation
% 3.88/1.15
% 3.88/1.15 % (31064)Memory used [KB]: 8571
% 3.88/1.15 % (31064)Time elapsed: 0.234 s
% 3.88/1.15 % (31064)Instructions burned: 90 (million)
% 3.88/1.15 % (31064)------------------------------
% 3.88/1.15 % (31064)------------------------------
% 3.88/1.16 % (31068)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.44/1.21 % (31069)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 (2992ds/9902Mi)
% 6.44/1.22 % (31070)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 (2992ds/1824Mi)
% 6.44/1.23 % (30967)Instruction limit reached!
% 6.44/1.23 % (30967)------------------------------
% 6.44/1.23 % (30967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.44/1.23 % (30967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.44/1.23 % (30967)Termination reason: Unknown
% 6.44/1.23 % (30967)Termination phase: Saturation
% 6.44/1.23
% 6.44/1.23 % (30967)Memory used [KB]: 11001
% 6.44/1.23 % (30967)Time elapsed: 0.616 s
% 6.44/1.23 % (30967)Instructions burned: 388 (million)
% 6.44/1.23 % (30967)------------------------------
% 6.44/1.23 % (30967)------------------------------
% 6.66/1.30 % (31071)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 6.66/1.30 % (31072)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.39/1.34 % (30886)Instruction limit reached!
% 7.39/1.34 % (30886)------------------------------
% 7.39/1.34 % (30886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.39/1.34 % (30886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.39/1.34 % (30886)Termination reason: Unknown
% 7.39/1.34 % (30886)Termination phase: Saturation
% 7.39/1.34
% 7.39/1.34 % (30886)Memory used [KB]: 15479
% 7.39/1.34 % (30886)Time elapsed: 0.878 s
% 7.39/1.34 % (30886)Instructions burned: 440 (million)
% 7.39/1.34 % (30886)------------------------------
% 7.39/1.34 % (30886)------------------------------
% 7.39/1.34 % (31073)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 (2991ds/90Mi)
% 7.82/1.41 % (30880)Instruction limit reached!
% 7.82/1.41 % (30880)------------------------------
% 7.82/1.41 % (30880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.82/1.41 % (30880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.82/1.41 % (30880)Termination reason: Unknown
% 7.82/1.41 % (30880)Termination phase: Saturation
% 7.82/1.41
% 7.82/1.41 % (30880)Memory used [KB]: 6908
% 7.82/1.41 % (30880)Time elapsed: 0.964 s
% 7.82/1.41 % (30880)Instructions burned: 499 (million)
% 7.82/1.41 % (30880)------------------------------
% 7.82/1.41 % (30880)------------------------------
% 7.82/1.43 TRYING [1]
% 7.82/1.45 % (31073)Instruction limit reached!
% 7.82/1.45 % (31073)------------------------------
% 7.82/1.45 % (31073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.82/1.45 % (31073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.82/1.45 % (31073)Termination reason: Unknown
% 7.82/1.45 % (31073)Termination phase: Saturation
% 7.82/1.45
% 7.82/1.45 % (31073)Memory used [KB]: 8571
% 7.82/1.45 % (31073)Time elapsed: 0.151 s
% 7.82/1.45 % (31073)Instructions burned: 90 (million)
% 7.82/1.45 % (31073)------------------------------
% 7.82/1.45 % (31073)------------------------------
% 8.42/1.46 % (30882)Instruction limit reached!
% 8.42/1.46 % (30882)------------------------------
% 8.42/1.46 % (30882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.42/1.46 % (30882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.42/1.46 % (30882)Termination reason: Unknown
% 8.42/1.46 % (30882)Termination phase: Saturation
% 8.42/1.46
% 8.42/1.46 % (30882)Memory used [KB]: 14200
% 8.42/1.46 % (30882)Time elapsed: 0.914 s
% 8.42/1.46 % (30882)Instructions burned: 482 (million)
% 8.42/1.46 % (30882)------------------------------
% 8.42/1.46 % (30882)------------------------------
% 8.47/1.49 % (30883)Instruction limit reached!
% 8.47/1.49 % (30883)------------------------------
% 8.47/1.49 % (30883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.47/1.49 % (31074)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 8.47/1.50 % (30883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.47/1.50 % (30883)Termination reason: Unknown
% 8.47/1.50 % (30883)Termination phase: Saturation
% 8.47/1.50
% 8.47/1.50 % (30883)Memory used [KB]: 12537
% 8.47/1.50 % (30883)Time elapsed: 1.048 s
% 8.47/1.50 % (30883)Instructions burned: 500 (million)
% 8.47/1.50 % (30883)------------------------------
% 8.47/1.50 % (30883)------------------------------
% 8.76/1.53 % (31051)First to succeed.
% 8.97/1.54 % (31075)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 (2989ds/4958Mi)
% 8.97/1.55 % (31051)Refutation found. Thanks to Tanya!
% 8.97/1.55 % SZS status Unsatisfiable for theBenchmark
% 8.97/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 8.97/1.56 % (31051)------------------------------
% 8.97/1.56 % (31051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.97/1.56 % (31051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.97/1.56 % (31051)Termination reason: Refutation
% 8.97/1.56
% 8.97/1.56 % (31051)Memory used [KB]: 6396
% 8.97/1.56 % (31051)Time elapsed: 0.751 s
% 8.97/1.56 % (31051)Instructions burned: 586 (million)
% 8.97/1.56 % (31051)------------------------------
% 8.97/1.56 % (31051)------------------------------
% 8.97/1.56 % (30831)Success in time 1.2 s
%------------------------------------------------------------------------------