TSTP Solution File: LAT276-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT276-1 : 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 : n008.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 17:36:34 EDT 2022
% Result : Unsatisfiable 8.33s 1.52s
% Output : Refutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 376
% Syntax : Number of formulae : 640 ( 332 unt; 0 def)
% Number of atoms : 1047 ( 161 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 634 ( 227 ~; 221 |; 0 &)
% ( 186 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 251 ( 249 usr; 187 prp; 0-3 aty)
% Number of functors : 74 ( 74 usr; 44 con; 0-4 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4129,plain,
$false,
inference(avatar_smt_refutation,[],[f2983,f2988,f2993,f2998,f3003,f3011,f3016,f3021,f3026,f3031,f3037,f3042,f3047,f3052,f3057,f3062,f3067,f3072,f3078,f3083,f3088,f3093,f3098,f3103,f3108,f3113,f3122,f3128,f3133,f3138,f3143,f3148,f3153,f3158,f3163,f3168,f3174,f3175,f3181,f3186,f3191,f3196,f3201,f3206,f3211,f3216,f3221,f3227,f3232,f3237,f3242,f3247,f3252,f3259,f3264,f3269,f3277,f3283,f3288,f3293,f3298,f3303,f3305,f3310,f3315,f3322,f3327,f3332,f3337,f3342,f3347,f3352,f3353,f3358,f3363,f3368,f3373,f3379,f3384,f3389,f3395,f3400,f3405,f3411,f3416,f3421,f3425,f3430,f3435,f3440,f3446,f3448,f3453,f3458,f3463,f3468,f3478,f3486,f3491,f3496,f3501,f3506,f3507,f3512,f3518,f3523,f3529,f3534,f3541,f3546,f3551,f3556,f3561,f3566,f3572,f3577,f3582,f3589,f3594,f3595,f3605,f3610,f3615,f3620,f3626,f3627,f3632,f3639,f3645,f3650,f3655,f3662,f3667,f3673,f3678,f3683,f3688,f3690,f3700,f3706,f3712,f3717,f3722,f3727,f3732,f3738,f3743,f3748,f3753,f3758,f3763,f3769,f3776,f3777,f3782,f3789,f3794,f3799,f3806,f3812,f3817,f3823,f3825,f3832,f3837,f3842,f3847,f3854,f3860,f3861,f3863,f3868,f3873,f3880,f3911,f3917,f3923,f3971,f3986,f3993,f3999,f4017,f4025,f4055,f4058,f4063,f4079,f4084,f4086,f4095,f4102,f4110,f4120,f4125,f4128]) ).
fof(f4128,plain,
( ~ spl0_175
| ~ spl0_102
| spl0_174
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f4127,f4117,f3996,f3498,f4014]) ).
fof(f4014,plain,
( spl0_175
<=> c_in(v_xa,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3498,plain,
( spl0_102
<=> c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f3996,plain,
( spl0_174
<=> c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f4117,plain,
( spl0_185
<=> c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f4127,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ spl0_185 ),
inference(resolution,[],[f4119,f2740]) ).
fof(f2740,axiom,
! [X82,X93] :
( ~ c_in(c_Pair(v_sko__4mP(X93,X82,v_r),X93,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(c_Tarski_Olub(X82,v_cl,t_a),X93,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X82,v_A,tc_set(t_a))
| ~ c_in(X93,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f4119,plain,
( c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f4117]) ).
fof(f4125,plain,
( spl0_186
| ~ spl0_102
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f4114,f4107,f3498,f4122]) ).
fof(f4122,plain,
( spl0_186
<=> c_in(v_sko__4mP(v_xa,v_S,v_r),v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f4107,plain,
( spl0_184
<=> c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4114,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_A,t_a)
| ~ spl0_102
| ~ spl0_184 ),
inference(resolution,[],[f4109,f4067]) ).
fof(f4067,plain,
( ! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(X0,v_A,t_a) )
| ~ spl0_102 ),
inference(resolution,[],[f1685,f3500]) ).
fof(f3500,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f3498]) ).
fof(f1685,axiom,
! [X31,X3,X26,X27] :
( ~ c_lessequals(X27,X31,tc_set(X3))
| c_in(X26,X31,X3)
| ~ c_in(X26,X27,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f4109,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f4107]) ).
fof(f4120,plain,
( spl0_185
| ~ spl0_87
| ~ spl0_142
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f4115,f4107,f3729,f3423,f4117]) ).
fof(f3423,plain,
( spl0_87
<=> ! [X54] :
( c_in(c_Pair(X54,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X54,v_S,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f3729,plain,
( spl0_142
<=> v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f4115,plain,
( c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ spl0_87
| ~ spl0_142
| ~ spl0_184 ),
inference(resolution,[],[f4109,f4087]) ).
fof(f4087,plain,
( ! [X54] :
( ~ c_in(X54,v_S,t_a)
| c_in(c_Pair(X54,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) )
| ~ spl0_87
| ~ spl0_142 ),
inference(forward_demodulation,[],[f3424,f3731]) ).
fof(f3731,plain,
( v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f3729]) ).
fof(f3424,plain,
( ! [X54] :
( ~ c_in(X54,v_S,t_a)
| c_in(c_Pair(X54,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f3423]) ).
fof(f4110,plain,
( ~ spl0_175
| spl0_184
| ~ spl0_102
| spl0_174 ),
inference(avatar_split_clause,[],[f4105,f3996,f3498,f4107,f4014]) ).
fof(f4105,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| ~ spl0_102
| spl0_174 ),
inference(resolution,[],[f4088,f3998]) ).
fof(f3998,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_174 ),
inference(avatar_component_clause,[],[f3996]) ).
fof(f4088,plain,
( ! [X0] :
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X0,v_S,v_r),v_S,t_a)
| ~ c_in(X0,v_A,t_a) )
| ~ spl0_102 ),
inference(resolution,[],[f2739,f3500]) ).
fof(f2739,axiom,
! [X82,X93] :
( ~ c_lessequals(X82,v_A,tc_set(t_a))
| c_in(v_sko__4mP(X93,X82,v_r),X82,t_a)
| c_in(c_Pair(c_Tarski_Olub(X82,v_cl,t_a),X93,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X93,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4102,plain,
( spl0_183
| ~ spl0_142
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f4097,f3809,f3729,f4099]) ).
fof(f4099,plain,
( spl0_183
<=> c_Relation_Otrans(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f3809,plain,
( spl0_156
<=> 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_156])]) ).
fof(f4097,plain,
( c_Relation_Otrans(v_r,t_a)
| ~ spl0_142
| ~ spl0_156 ),
inference(forward_demodulation,[],[f4096,f3731]) ).
fof(f4096,plain,
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_156 ),
inference(resolution,[],[f3811,f2744]) ).
fof(f2744,axiom,
! [X3,X94] :
( ~ c_in(X94,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X94,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl1_A_58_ACompleteLattice_A_61_61_62_Atrans_A_Iorder_Acl1_J_A_61_61_ATrue_0) ).
fof(f3811,plain,
( c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f4095,plain,
( spl0_182
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f4090,f3280,f4093]) ).
fof(f4093,plain,
( spl0_182
<=> ! [X0] :
( c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_L,X0,v_r),v_S,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f3280,plain,
( spl0_60
<=> c_in(v_L,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f4090,plain,
! [X0] :
( ~ c_in(v_L,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_sko__4mP(v_L,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f2740,f2750]) ).
fof(f2750,axiom,
! [X30] :
( c_in(c_Pair(X30,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X30,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4086,plain,
( spl0_175
| ~ spl0_29
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f4085,f3652,f3119,f4014]) ).
fof(f3119,plain,
( spl0_29
<=> c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f3652,plain,
( spl0_129
<=> v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f4085,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl0_29
| ~ spl0_129 ),
inference(forward_demodulation,[],[f3121,f3654]) ).
fof(f3654,plain,
( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f3652]) ).
fof(f3121,plain,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f3119]) ).
fof(f4084,plain,
( ~ spl0_102
| ~ spl0_96
| spl0_173 ),
inference(avatar_split_clause,[],[f4082,f3990,f3471,f3498]) ).
fof(f3471,plain,
( spl0_96
<=> c_in(v_xa,v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f3990,plain,
( spl0_173
<=> c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f4082,plain,
( ~ c_in(v_xa,v_S,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| spl0_173 ),
inference(resolution,[],[f2741,f3992]) ).
fof(f3992,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_173 ),
inference(avatar_component_clause,[],[f3990]) ).
fof(f2741,axiom,
! [X82,X11] :
( c_in(c_Pair(X11,c_Tarski_Olub(X82,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X82,v_A,tc_set(t_a))
| ~ c_in(X11,X82,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f4079,plain,
( ~ spl0_180
| spl0_181
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f4069,f3498,f4076,f4072]) ).
fof(f4072,plain,
( spl0_180
<=> c_lessequals(v_A,v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4076,plain,
( spl0_181
<=> v_A = v_S ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f4069,plain,
( v_A = v_S
| ~ c_lessequals(v_A,v_S,tc_set(t_a))
| ~ spl0_102 ),
inference(resolution,[],[f1688,f3500]) ).
fof(f1688,axiom,
! [X31,X3,X27] :
( ~ c_lessequals(X31,X27,tc_set(X3))
| ~ c_lessequals(X27,X31,tc_set(X3))
| X27 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4063,plain,
( ~ spl0_179
| spl0_177 ),
inference(avatar_split_clause,[],[f4057,f4048,f4060]) ).
fof(f4060,plain,
( spl0_179
<=> c_in(v_L,v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f4048,plain,
( spl0_177
<=> c_in(c_Pair(v_L,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f4057,plain,
( ~ c_in(v_L,v_S,t_a)
| spl0_177 ),
inference(resolution,[],[f4049,f2750]) ).
fof(f4049,plain,
( ~ c_in(c_Pair(v_L,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_177 ),
inference(avatar_component_clause,[],[f4048]) ).
fof(f4058,plain,
( spl0_178
| ~ spl0_60
| spl0_177 ),
inference(avatar_split_clause,[],[f4056,f4048,f3280,f4052]) ).
fof(f4052,plain,
( spl0_178
<=> c_in(v_x(v_L),v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4056,plain,
( ~ c_in(v_L,v_A,t_a)
| c_in(v_x(v_L),v_S,t_a)
| spl0_177 ),
inference(resolution,[],[f4049,f2755]) ).
fof(f2755,axiom,
! [X30] :
( c_in(c_Pair(v_L,X30,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_x(X30),v_S,t_a)
| ~ c_in(X30,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f4055,plain,
( spl0_177
| ~ spl0_178
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f4046,f3280,f4052,f4048]) ).
fof(f4046,plain,
( ~ c_in(v_L,v_A,t_a)
| ~ c_in(v_x(v_L),v_S,t_a)
| c_in(c_Pair(v_L,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f2756,f2750]) ).
fof(f2756,axiom,
! [X30] :
( ~ c_in(c_Pair(v_x(X30),X30,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X30,v_A,t_a)
| c_in(c_Pair(v_L,X30,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f4025,plain,
( spl0_176
| ~ spl0_168
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f4020,f3914,f3908,f4022]) ).
fof(f4022,plain,
( spl0_176
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f3908,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(f3914,plain,
( spl0_169
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f4020,plain,
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ spl0_168
| ~ spl0_169 ),
inference(forward_demodulation,[],[f3910,f3916]) ).
fof(f3916,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f3914]) ).
fof(f3910,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f3908]) ).
fof(f4017,plain,
( ~ spl0_175
| spl0_29
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f4012,f3652,f3119,f4014]) ).
fof(f4012,plain,
( ~ c_in(v_xa,v_A,t_a)
| spl0_29
| ~ spl0_129 ),
inference(backward_demodulation,[],[f3120,f3654]) ).
fof(f3120,plain,
( ~ c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| spl0_29 ),
inference(avatar_component_clause,[],[f3119]) ).
fof(f3999,plain,
( ~ spl0_174
| spl0_97
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f3994,f3729,f3475,f3996]) ).
fof(f3475,plain,
( spl0_97
<=> c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f3994,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_97
| ~ spl0_142 ),
inference(forward_demodulation,[],[f3477,f3731]) ).
fof(f3477,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_97 ),
inference(avatar_component_clause,[],[f3475]) ).
fof(f3993,plain,
( ~ spl0_173
| spl0_28
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f3988,f3729,f3115,f3990]) ).
fof(f3115,plain,
( spl0_28
<=> c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f3988,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| spl0_28
| ~ spl0_142 ),
inference(forward_demodulation,[],[f3117,f3731]) ).
fof(f3117,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| spl0_28 ),
inference(avatar_component_clause,[],[f3115]) ).
fof(f3986,plain,
( spl0_172
| ~ spl0_33
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f3963,f3376,f3140,f3983]) ).
fof(f3983,plain,
( spl0_172
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3140,plain,
( spl0_33
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3376,plain,
( spl0_78
<=> 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_78])]) ).
fof(f3963,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_33
| ~ spl0_78 ),
inference(backward_demodulation,[],[f3378,f3142]) ).
fof(f3142,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f3378,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f3376]) ).
fof(f3971,plain,
( spl0_171
| ~ spl0_33
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f3964,f3418,f3140,f3968]) ).
fof(f3968,plain,
( spl0_171
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3418,plain,
( spl0_86
<=> 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_86])]) ).
fof(f3964,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_33
| ~ spl0_86 ),
inference(backward_demodulation,[],[f3420,f3142]) ).
fof(f3420,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f3418]) ).
fof(f3923,plain,
( spl0_170
| ~ spl0_37
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f3918,f3295,f3160,f3920]) ).
fof(f3920,plain,
( spl0_170
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3160,plain,
( spl0_37
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f3295,plain,
( spl0_63
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f3918,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_37
| ~ spl0_63 ),
inference(forward_demodulation,[],[f3162,f3297]) ).
fof(f3297,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f3295]) ).
fof(f3162,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3917,plain,
( spl0_169
| ~ spl0_93
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f3912,f3636,f3455,f3914]) ).
fof(f3455,plain,
( spl0_93
<=> 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_93])]) ).
fof(f3636,plain,
( spl0_126
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f3912,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_93
| ~ spl0_126 ),
inference(backward_demodulation,[],[f3457,f3638]) ).
fof(f3638,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f3636]) ).
fof(f3457,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f3455]) ).
fof(f3911,plain,
( spl0_168
| ~ spl0_42
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f3906,f3455,f3188,f3908]) ).
fof(f3188,plain,
( spl0_42
<=> 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_42])]) ).
fof(f3906,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_42
| ~ spl0_93 ),
inference(backward_demodulation,[],[f3190,f3457]) ).
fof(f3190,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f3188]) ).
fof(f3880,plain,
( spl0_167
| ~ spl0_48
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f3875,f3295,f3218,f3877]) ).
fof(f3877,plain,
( spl0_167
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3218,plain,
( spl0_48
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f3875,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_48
| ~ spl0_63 ),
inference(forward_demodulation,[],[f3220,f3297]) ).
fof(f3220,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f3873,plain,
spl0_166,
inference(avatar_split_clause,[],[f1719,f3870]) ).
fof(f3870,plain,
( spl0_166
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1719,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_20) ).
fof(f3868,plain,
spl0_165,
inference(avatar_split_clause,[],[f1793,f3865]) ).
fof(f3865,plain,
( spl0_165
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1793,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3863,plain,
( spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1348,f3005,f3009]) ).
fof(f3009,plain,
( spl0_7
<=> ! [X3] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3005,plain,
( spl0_6
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1348,axiom,
! [X3] :
( c_0 != c_1
| ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oone__neq__zero_0) ).
fof(f3861,plain,
~ spl0_38,
inference(avatar_split_clause,[],[f1010,f3165]) ).
fof(f3165,plain,
( spl0_38
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1010,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2_0) ).
fof(f3860,plain,
spl0_164,
inference(avatar_split_clause,[],[f1713,f3857]) ).
fof(f3857,plain,
( spl0_164
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1713,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3854,plain,
( spl0_58
| spl0_163 ),
inference(avatar_split_clause,[],[f3850,f3852,f3272]) ).
fof(f3272,plain,
( spl0_58
<=> ! [X35] :
( c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f3852,plain,
( spl0_163
<=> ! [X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3)
| c_lessequals(c_0,c_0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f3850,plain,
! [X3,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_lessequals(c_0,c_0,X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Power_Orecpower(X3) ),
inference(forward_subsumption_demodulation,[],[f1172,f1162]) ).
fof(f1162,axiom,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__0__left__number__of_1) ).
fof(f1172,axiom,
! [X3,X35] :
( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),c_0,X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3847,plain,
spl0_162,
inference(avatar_split_clause,[],[f1736,f3844]) ).
fof(f3844,plain,
( spl0_162
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1736,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3842,plain,
spl0_161,
inference(avatar_split_clause,[],[f1716,f3839]) ).
fof(f3839,plain,
( spl0_161
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1716,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_18) ).
fof(f3837,plain,
spl0_160,
inference(avatar_split_clause,[],[f1744,f3834]) ).
fof(f3834,plain,
( spl0_160
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1744,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f3832,plain,
spl0_159,
inference(avatar_split_clause,[],[f2960,f3829]) ).
fof(f3829,plain,
( spl0_159
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f2960,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f976,f979]) ).
fof(f979,axiom,
! [X35] : c_Numeral_Obin__minus(X35) = c_Numeral_Obin__mult(c_Numeral_OMin,X35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__mult__Min_0) ).
fof(f976,axiom,
c_Numeral_OPls = c_Numeral_Obin__minus(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Pls_0) ).
fof(f3825,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f3824,f3484,f3481]) ).
fof(f3481,plain,
( spl0_98
<=> ! [X77] : ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f3484,plain,
( spl0_99
<=> ! [X36] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f3824,plain,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f2978,f699]) ).
fof(f699,axiom,
! [X36] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X36,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f2978,plain,
! [X36,X77] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3823,plain,
spl0_158,
inference(avatar_split_clause,[],[f1792,f3820]) ).
fof(f3820,plain,
( spl0_158
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1792,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3817,plain,
spl0_157,
inference(avatar_split_clause,[],[f1745,f3814]) ).
fof(f3814,plain,
( spl0_157
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1745,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f3812,plain,
spl0_156,
inference(avatar_split_clause,[],[f2745,f3809]) ).
fof(f2745,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(f3806,plain,
spl0_155,
inference(avatar_split_clause,[],[f1820,f3803]) ).
fof(f3803,plain,
( spl0_155
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1820,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3799,plain,
spl0_154,
inference(avatar_split_clause,[],[f1813,f3796]) ).
fof(f3796,plain,
( spl0_154
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1813,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3794,plain,
spl0_153,
inference(avatar_split_clause,[],[f1763,f3791]) ).
fof(f3791,plain,
( spl0_153
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1763,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3789,plain,
spl0_152,
inference(avatar_split_clause,[],[f1749,f3786]) ).
fof(f3786,plain,
( spl0_152
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1749,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3782,plain,
spl0_151,
inference(avatar_split_clause,[],[f236,f3779]) ).
fof(f3779,plain,
( spl0_151
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f236,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3777,plain,
( ~ spl0_28
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2754,f3475,f3115]) ).
fof(f2754,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3776,plain,
spl0_150,
inference(avatar_split_clause,[],[f104,f3773]) ).
fof(f3773,plain,
( spl0_150
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f104,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(f3769,plain,
~ spl0_149,
inference(avatar_split_clause,[],[f1479,f3766]) ).
fof(f3766,plain,
( spl0_149
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1479,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty_0) ).
fof(f3763,plain,
spl0_148,
inference(avatar_split_clause,[],[f1754,f3760]) ).
fof(f3760,plain,
( spl0_148
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1754,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3758,plain,
spl0_147,
inference(avatar_split_clause,[],[f1772,f3755]) ).
fof(f3755,plain,
( spl0_147
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1772,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3753,plain,
spl0_146,
inference(avatar_split_clause,[],[f532,f3750]) ).
fof(f3750,plain,
( spl0_146
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f532,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(f3748,plain,
spl0_145,
inference(avatar_split_clause,[],[f533,f3745]) ).
fof(f3745,plain,
( spl0_145
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f533,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(f3743,plain,
spl0_144,
inference(avatar_split_clause,[],[f1796,f3740]) ).
fof(f3740,plain,
( spl0_144
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1796,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3738,plain,
spl0_143,
inference(avatar_split_clause,[],[f1727,f3735]) ).
fof(f3735,plain,
( spl0_143
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1727,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3732,plain,
spl0_142,
inference(avatar_split_clause,[],[f2746,f3729]) ).
fof(f2746,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f3727,plain,
spl0_141,
inference(avatar_split_clause,[],[f1757,f3724]) ).
fof(f3724,plain,
( spl0_141
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1757,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f3722,plain,
spl0_140,
inference(avatar_split_clause,[],[f1794,f3719]) ).
fof(f3719,plain,
( spl0_140
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1794,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3717,plain,
spl0_139,
inference(avatar_split_clause,[],[f1714,f3714]) ).
fof(f3714,plain,
( spl0_139
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1714,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3712,plain,
spl0_138,
inference(avatar_split_clause,[],[f1810,f3709]) ).
fof(f3709,plain,
( spl0_138
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1810,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3706,plain,
spl0_137,
inference(avatar_split_clause,[],[f1787,f3703]) ).
fof(f3703,plain,
( spl0_137
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1787,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3700,plain,
spl0_136,
inference(avatar_split_clause,[],[f1731,f3697]) ).
fof(f3697,plain,
( spl0_136
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1731,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3690,plain,
( spl0_96
| spl0_29 ),
inference(avatar_split_clause,[],[f2751,f3119,f3471]) ).
fof(f2751,axiom,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3688,plain,
spl0_135,
inference(avatar_split_clause,[],[f1788,f3685]) ).
fof(f3685,plain,
( spl0_135
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1788,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3683,plain,
spl0_134,
inference(avatar_split_clause,[],[f1812,f3680]) ).
fof(f3680,plain,
( spl0_134
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3678,plain,
spl0_133,
inference(avatar_split_clause,[],[f1815,f3675]) ).
fof(f3675,plain,
( spl0_133
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1815,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3673,plain,
spl0_132,
inference(avatar_split_clause,[],[f1761,f3670]) ).
fof(f3670,plain,
( spl0_132
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1761,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3667,plain,
spl0_131,
inference(avatar_split_clause,[],[f716,f3664]) ).
fof(f3664,plain,
( spl0_131
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f716,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(f3662,plain,
( ~ spl0_6
| spl0_130 ),
inference(avatar_split_clause,[],[f3658,f3660,f3005]) ).
fof(f3660,plain,
( spl0_130
<=> ! [X25] : c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f3658,plain,
! [X25] :
( c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_0 != c_1 ),
inference(forward_subsumption_demodulation,[],[f826,f939]) ).
fof(f939,axiom,
! [X10] :
( c_less(c_0,X10,tc_nat)
| c_0 = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_0) ).
fof(f826,axiom,
! [X25] :
( c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat)
| c_1 != c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3655,plain,
spl0_129,
inference(avatar_split_clause,[],[f2737,f3652]) ).
fof(f2737,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3650,plain,
spl0_128,
inference(avatar_split_clause,[],[f1747,f3647]) ).
fof(f3647,plain,
( spl0_128
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1747,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f3645,plain,
~ spl0_127,
inference(avatar_split_clause,[],[f1160,f3642]) ).
fof(f3642,plain,
( spl0_127
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1160,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3639,plain,
spl0_126,
inference(avatar_split_clause,[],[f2834,f3636]) ).
fof(f2834,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f866,f1394]) ).
fof(f1394,axiom,
! [X38] : c_Suc(X38) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X38,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f866,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3632,plain,
spl0_125,
inference(avatar_split_clause,[],[f1707,f3629]) ).
fof(f3629,plain,
( spl0_125
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1707,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3627,plain,
spl0_99,
inference(avatar_split_clause,[],[f698,f3484]) ).
fof(f698,axiom,
! [X36] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_1) ).
fof(f3626,plain,
spl0_124,
inference(avatar_split_clause,[],[f1726,f3623]) ).
fof(f3623,plain,
( spl0_124
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1726,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_27) ).
fof(f3620,plain,
spl0_123,
inference(avatar_split_clause,[],[f1701,f3617]) ).
fof(f3617,plain,
( spl0_123
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1701,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(f3615,plain,
spl0_122,
inference(avatar_split_clause,[],[f1807,f3612]) ).
fof(f3612,plain,
( spl0_122
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1807,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3610,plain,
spl0_121,
inference(avatar_split_clause,[],[f1724,f3607]) ).
fof(f3607,plain,
( spl0_121
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3605,plain,
spl0_120,
inference(avatar_split_clause,[],[f524,f3602]) ).
fof(f3602,plain,
( spl0_120
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f524,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(f3595,plain,
spl0_99,
inference(avatar_split_clause,[],[f682,f3484]) ).
fof(f682,axiom,
! [X36] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__0__number__of_1) ).
fof(f3594,plain,
spl0_119,
inference(avatar_split_clause,[],[f1742,f3591]) ).
fof(f3591,plain,
( spl0_119
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1742,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f3589,plain,
spl0_118,
inference(avatar_split_clause,[],[f1709,f3586]) ).
fof(f3586,plain,
( spl0_118
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1709,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3582,plain,
spl0_117,
inference(avatar_split_clause,[],[f1803,f3579]) ).
fof(f3579,plain,
( spl0_117
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1803,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3577,plain,
spl0_116,
inference(avatar_split_clause,[],[f1721,f3574]) ).
fof(f3574,plain,
( spl0_116
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1721,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_22) ).
fof(f3572,plain,
spl0_115,
inference(avatar_split_clause,[],[f523,f3569]) ).
fof(f3569,plain,
( spl0_115
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f523,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(f3566,plain,
spl0_114,
inference(avatar_split_clause,[],[f1723,f3563]) ).
fof(f3563,plain,
( spl0_114
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1723,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3561,plain,
spl0_113,
inference(avatar_split_clause,[],[f1799,f3558]) ).
fof(f3558,plain,
( spl0_113
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1799,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3556,plain,
( ~ spl0_88
| spl0_112 ),
inference(avatar_split_clause,[],[f3552,f3554,f3427]) ).
fof(f3427,plain,
( spl0_88
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f3554,plain,
( spl0_112
<=> ! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3552,plain,
! [X3,X35] :
( ~ class_Power_Orecpower(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| ~ c_less(c_0,c_0,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(forward_subsumption_demodulation,[],[f1165,f1162]) ).
fof(f1165,axiom,
! [X3,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| ~ c_less(c_0,c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__eq__0__iff__number__of_2) ).
fof(f3551,plain,
spl0_111,
inference(avatar_split_clause,[],[f1711,f3548]) ).
fof(f3548,plain,
( spl0_111
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1711,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3546,plain,
spl0_110,
inference(avatar_split_clause,[],[f956,f3543]) ).
fof(f3543,plain,
( spl0_110
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f956,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(f3541,plain,
spl0_109,
inference(avatar_split_clause,[],[f1819,f3538]) ).
fof(f3538,plain,
( spl0_109
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1819,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3534,plain,
spl0_108,
inference(avatar_split_clause,[],[f531,f3531]) ).
fof(f3531,plain,
( spl0_108
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f531,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(f3529,plain,
spl0_107,
inference(avatar_split_clause,[],[f1715,f3526]) ).
fof(f3526,plain,
( spl0_107
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1715,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3523,plain,
spl0_106,
inference(avatar_split_clause,[],[f1734,f3520]) ).
fof(f3520,plain,
( spl0_106
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1734,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3518,plain,
spl0_105,
inference(avatar_split_clause,[],[f1805,f3515]) ).
fof(f3515,plain,
( spl0_105
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1805,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3512,plain,
spl0_104,
inference(avatar_split_clause,[],[f1780,f3509]) ).
fof(f3509,plain,
( spl0_104
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1780,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3507,plain,
( spl0_96
| spl0_87 ),
inference(avatar_split_clause,[],[f2757,f3423,f3471]) ).
fof(f2757,axiom,
! [X30] :
( ~ c_in(X30,v_S,t_a)
| c_in(c_Pair(X30,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3506,plain,
spl0_103,
inference(avatar_split_clause,[],[f1005,f3503]) ).
fof(f3503,plain,
( spl0_103
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1005,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(f3501,plain,
spl0_102,
inference(avatar_split_clause,[],[f2747,f3498]) ).
fof(f2747,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3496,plain,
spl0_101,
inference(avatar_split_clause,[],[f1748,f3493]) ).
fof(f3493,plain,
( spl0_101
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1748,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3491,plain,
spl0_100,
inference(avatar_split_clause,[],[f1735,f3488]) ).
fof(f3488,plain,
( spl0_100
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1735,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3486,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f3479,f3484,f3481]) ).
fof(f3479,plain,
! [X36,X77] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f693,f699]) ).
fof(f693,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3478,plain,
( spl0_96
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f2752,f3475,f3471]) ).
fof(f2752,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3468,plain,
spl0_95,
inference(avatar_split_clause,[],[f1738,f3465]) ).
fof(f3465,plain,
( spl0_95
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1738,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f3463,plain,
spl0_94,
inference(avatar_split_clause,[],[f1732,f3460]) ).
fof(f3460,plain,
( spl0_94
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1732,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3458,plain,
spl0_93,
inference(avatar_split_clause,[],[f2787,f3455]) ).
fof(f2787,plain,
c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f194,f1394]) ).
fof(f194,axiom,
c_Suc(c_0) = c_IntDef_Onat(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntArith_Onat__1_0) ).
fof(f3453,plain,
spl0_92,
inference(avatar_split_clause,[],[f1014,f3450]) ).
fof(f3450,plain,
( spl0_92
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1014,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(f3448,plain,
spl0_51,
inference(avatar_split_clause,[],[f3447,f3234]) ).
fof(f3234,plain,
( spl0_51
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3447,plain,
c_less(c_0,c_1,tc_nat),
inference(forward_demodulation,[],[f1193,f1194]) ).
fof(f1194,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Opower_Osimps__1_0) ).
fof(f1193,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(X11,c_0,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Onat__zero__less__power__iff_2) ).
fof(f3446,plain,
spl0_91,
inference(avatar_split_clause,[],[f1785,f3443]) ).
fof(f3443,plain,
( spl0_91
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1785,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3440,plain,
spl0_90,
inference(avatar_split_clause,[],[f1771,f3437]) ).
fof(f3437,plain,
( spl0_90
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1771,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3435,plain,
spl0_89,
inference(avatar_split_clause,[],[f1804,f3432]) ).
fof(f3432,plain,
( spl0_89
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1804,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3430,plain,
~ spl0_88,
inference(avatar_split_clause,[],[f940,f3427]) ).
fof(f940,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__gr0_1) ).
fof(f3425,plain,
( spl0_87
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f2749,f3115,f3423]) ).
fof(f2749,axiom,
! [X54] :
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(c_Pair(X54,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X54,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f3421,plain,
spl0_86,
inference(avatar_split_clause,[],[f2886,f3418]) ).
fof(f2886,plain,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f975,f979]) ).
fof(f975,axiom,
c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__minus(c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__minus__Min_0) ).
fof(f3416,plain,
spl0_85,
inference(avatar_split_clause,[],[f1752,f3413]) ).
fof(f3413,plain,
( spl0_85
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1752,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3411,plain,
spl0_84,
inference(avatar_split_clause,[],[f1710,f3408]) ).
fof(f3408,plain,
( spl0_84
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1710,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3405,plain,
spl0_83,
inference(avatar_split_clause,[],[f528,f3402]) ).
fof(f3402,plain,
( spl0_83
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f528,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(f3400,plain,
spl0_82,
inference(avatar_split_clause,[],[f1712,f3397]) ).
fof(f3397,plain,
( spl0_82
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1712,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_14) ).
fof(f3395,plain,
spl0_81,
inference(avatar_split_clause,[],[f3390,f3392]) ).
fof(f3392,plain,
( spl0_81
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f3390,plain,
c_less(c_0,c_1,tc_IntDef_Oint),
inference(backward_demodulation,[],[f336,f314]) ).
fof(f314,axiom,
! [X40] : c_1 = c_Nat_Opower(X40,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Opower_Osimps__1_0) ).
fof(f336,axiom,
! [X11] : c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X11,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozero__less__zpower__abs__iff_2) ).
fof(f3389,plain,
spl0_80,
inference(avatar_split_clause,[],[f1708,f3386]) ).
fof(f3386,plain,
( spl0_80
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1708,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3384,plain,
spl0_79,
inference(avatar_split_clause,[],[f1766,f3381]) ).
fof(f3381,plain,
( spl0_79
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1766,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3379,plain,
spl0_78,
inference(avatar_split_clause,[],[f717,f3376]) ).
fof(f717,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(f3373,plain,
spl0_77,
inference(avatar_split_clause,[],[f1802,f3370]) ).
fof(f3370,plain,
( spl0_77
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1802,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3368,plain,
spl0_76,
inference(avatar_split_clause,[],[f1816,f3365]) ).
fof(f3365,plain,
( spl0_76
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1816,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3363,plain,
spl0_75,
inference(avatar_split_clause,[],[f1378,f3360]) ).
fof(f3360,plain,
( spl0_75
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1378,axiom,
c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__0_0) ).
fof(f3358,plain,
spl0_74,
inference(avatar_split_clause,[],[f1741,f3355]) ).
fof(f3355,plain,
( spl0_74
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3353,plain,
~ spl0_69,
inference(avatar_split_clause,[],[f101,f3329]) ).
fof(f3329,plain,
( spl0_69
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f101,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2_0) ).
fof(f3352,plain,
spl0_73,
inference(avatar_split_clause,[],[f1417,f3349]) ).
fof(f3349,plain,
( spl0_73
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1417,axiom,
c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__0_0) ).
fof(f3347,plain,
spl0_72,
inference(avatar_split_clause,[],[f1821,f3344]) ).
fof(f3344,plain,
( spl0_72
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1821,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3342,plain,
spl0_71,
inference(avatar_split_clause,[],[f1808,f3339]) ).
fof(f3339,plain,
( spl0_71
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1808,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3337,plain,
spl0_70,
inference(avatar_split_clause,[],[f1750,f3334]) ).
fof(f3334,plain,
( spl0_70
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1750,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3332,plain,
~ spl0_69,
inference(avatar_split_clause,[],[f100,f3329]) ).
fof(f100,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1_0) ).
fof(f3327,plain,
spl0_68,
inference(avatar_split_clause,[],[f1739,f3324]) ).
fof(f3324,plain,
( spl0_68
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1739,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f3322,plain,
spl0_67,
inference(avatar_split_clause,[],[f1717,f3319]) ).
fof(f3319,plain,
( spl0_67
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1717,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3315,plain,
spl0_66,
inference(avatar_split_clause,[],[f538,f3312]) ).
fof(f3312,plain,
( spl0_66
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f538,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(f3310,plain,
spl0_65,
inference(avatar_split_clause,[],[f1811,f3307]) ).
fof(f3307,plain,
( spl0_65
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1811,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3305,plain,
spl0_42,
inference(avatar_split_clause,[],[f2865,f3188]) ).
fof(f2865,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f914,f1394]) ).
fof(f914,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Omult__eq__1__iff_2) ).
fof(f3303,plain,
spl0_64,
inference(avatar_split_clause,[],[f1733,f3300]) ).
fof(f3300,plain,
( spl0_64
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1733,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3298,plain,
spl0_63,
inference(avatar_split_clause,[],[f224,f3295]) ).
fof(f224,axiom,
c_0 = c_IntDef_Oint(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__eq__0__conv_1) ).
fof(f3293,plain,
spl0_62,
inference(avatar_split_clause,[],[f526,f3290]) ).
fof(f3290,plain,
( spl0_62
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f526,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(f3288,plain,
spl0_61,
inference(avatar_split_clause,[],[f1789,f3285]) ).
fof(f3285,plain,
( spl0_61
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1789,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3283,plain,
spl0_60,
inference(avatar_split_clause,[],[f2748,f3280]) ).
fof(f2748,axiom,
c_in(v_L,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3277,plain,
( spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f3270,f3275,f3272]) ).
fof(f3275,plain,
( spl0_59
<=> ! [X3] :
( ~ c_less(c_0,c_0,X3)
| ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f3270,plain,
! [X3,X35] :
( ~ c_less(c_0,c_0,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1182,f1162]) ).
fof(f1182,axiom,
! [X3,X35] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Power_Orecpower(X3)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3269,plain,
spl0_57,
inference(avatar_split_clause,[],[f1790,f3266]) ).
fof(f3266,plain,
( spl0_57
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1790,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3264,plain,
spl0_56,
inference(avatar_split_clause,[],[f1743,f3261]) ).
fof(f3261,plain,
( spl0_56
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1743,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f3259,plain,
spl0_55,
inference(avatar_split_clause,[],[f1759,f3256]) ).
fof(f3256,plain,
( spl0_55
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3252,plain,
spl0_54,
inference(avatar_split_clause,[],[f1809,f3249]) ).
fof(f3249,plain,
( spl0_54
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1809,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3247,plain,
spl0_53,
inference(avatar_split_clause,[],[f1760,f3244]) ).
fof(f3244,plain,
( spl0_53
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3242,plain,
spl0_52,
inference(avatar_split_clause,[],[f1818,f3239]) ).
fof(f3239,plain,
( spl0_52
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1818,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3237,plain,
spl0_51,
inference(avatar_split_clause,[],[f899,f3234]) ).
fof(f899,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f3232,plain,
spl0_50,
inference(avatar_split_clause,[],[f1703,f3229]) ).
fof(f3229,plain,
( spl0_50
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1703,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(f3227,plain,
spl0_49,
inference(avatar_split_clause,[],[f1153,f3224]) ).
fof(f3224,plain,
( spl0_49
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1153,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3221,plain,
spl0_48,
inference(avatar_split_clause,[],[f227,f3218]) ).
fof(f227,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(f3216,plain,
~ spl0_47,
inference(avatar_split_clause,[],[f159,f3213]) ).
fof(f3213,plain,
( spl0_47
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f159,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(f3211,plain,
spl0_46,
inference(avatar_split_clause,[],[f1795,f3208]) ).
fof(f3208,plain,
( spl0_46
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1795,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3206,plain,
spl0_45,
inference(avatar_split_clause,[],[f1797,f3203]) ).
fof(f3203,plain,
( spl0_45
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1797,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3201,plain,
spl0_44,
inference(avatar_split_clause,[],[f1801,f3198]) ).
fof(f3198,plain,
( spl0_44
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1801,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3196,plain,
spl0_43,
inference(avatar_split_clause,[],[f1753,f3193]) ).
fof(f3193,plain,
( spl0_43
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1753,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3191,plain,
spl0_42,
inference(avatar_split_clause,[],[f2860,f3188]) ).
fof(f2860,plain,
c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f944,f1394]) ).
fof(f944,axiom,
c_Suc(c_0) = c_times(c_1,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oone__eq__mult__iff_2) ).
fof(f3186,plain,
spl0_41,
inference(avatar_split_clause,[],[f529,f3183]) ).
fof(f3183,plain,
( spl0_41
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f529,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(f3181,plain,
spl0_40,
inference(avatar_split_clause,[],[f530,f3178]) ).
fof(f3178,plain,
( spl0_40
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f530,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(f3175,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f220,f3005]) ).
fof(f220,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3174,plain,
spl0_39,
inference(avatar_split_clause,[],[f1730,f3171]) ).
fof(f3171,plain,
( spl0_39
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1730,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_30) ).
fof(f3168,plain,
~ spl0_38,
inference(avatar_split_clause,[],[f1009,f3165]) ).
fof(f1009,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1_0) ).
fof(f3163,plain,
spl0_37,
inference(avatar_split_clause,[],[f241,f3160]) ).
fof(f241,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(f3158,plain,
spl0_36,
inference(avatar_split_clause,[],[f1728,f3155]) ).
fof(f3155,plain,
( spl0_36
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1728,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_29) ).
fof(f3153,plain,
spl0_35,
inference(avatar_split_clause,[],[f1775,f3150]) ).
fof(f3150,plain,
( spl0_35
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1775,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3148,plain,
spl0_34,
inference(avatar_split_clause,[],[f1140,f3145]) ).
fof(f3145,plain,
( spl0_34
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1140,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3143,plain,
spl0_33,
inference(avatar_split_clause,[],[f1006,f3140]) ).
fof(f1006,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(f3138,plain,
spl0_32,
inference(avatar_split_clause,[],[f1737,f3135]) ).
fof(f3135,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1737,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f3133,plain,
spl0_31,
inference(avatar_split_clause,[],[f1786,f3130]) ).
fof(f3130,plain,
( spl0_31
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f1786,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3128,plain,
spl0_30,
inference(avatar_split_clause,[],[f1751,f3125]) ).
fof(f3125,plain,
( spl0_30
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1751,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3122,plain,
( ~ spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f2753,f3119,f3115]) ).
fof(f2753,axiom,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3113,plain,
spl0_27,
inference(avatar_split_clause,[],[f525,f3110]) ).
fof(f3110,plain,
( spl0_27
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f525,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(f3108,plain,
spl0_26,
inference(avatar_split_clause,[],[f1720,f3105]) ).
fof(f3105,plain,
( spl0_26
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1720,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3103,plain,
spl0_25,
inference(avatar_split_clause,[],[f1384,f3100]) ).
fof(f3100,plain,
( spl0_25
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1384,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(f3098,plain,
spl0_24,
inference(avatar_split_clause,[],[f1758,f3095]) ).
fof(f3095,plain,
( spl0_24
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3093,plain,
spl0_23,
inference(avatar_split_clause,[],[f534,f3090]) ).
fof(f3090,plain,
( spl0_23
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f534,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(f3088,plain,
spl0_22,
inference(avatar_split_clause,[],[f537,f3085]) ).
fof(f3085,plain,
( spl0_22
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f537,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(f3083,plain,
spl0_21,
inference(avatar_split_clause,[],[f536,f3080]) ).
fof(f3080,plain,
( spl0_21
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f536,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(f3078,plain,
spl0_20,
inference(avatar_split_clause,[],[f527,f3075]) ).
fof(f3075,plain,
( spl0_20
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f527,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(f3072,plain,
spl0_19,
inference(avatar_split_clause,[],[f535,f3069]) ).
fof(f3069,plain,
( spl0_19
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f535,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(f3067,plain,
spl0_18,
inference(avatar_split_clause,[],[f2816,f3064]) ).
fof(f3064,plain,
( spl0_18
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2816,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f984,f962]) ).
fof(f962,axiom,
! [X35] : c_Numeral_Obin__add(c_Numeral_OMin,X35) = c_Numeral_Obin__pred(X35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min_0) ).
fof(f984,axiom,
c_Numeral_OMin = c_Numeral_Obin__pred(c_Numeral_OPls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Pls_0) ).
fof(f3062,plain,
spl0_17,
inference(avatar_split_clause,[],[f1013,f3059]) ).
fof(f3059,plain,
( spl0_17
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1013,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(f3057,plain,
spl0_16,
inference(avatar_split_clause,[],[f105,f3054]) ).
fof(f3054,plain,
( spl0_16
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f105,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(f3052,plain,
spl0_15,
inference(avatar_split_clause,[],[f200,f3049]) ).
fof(f3049,plain,
( spl0_15
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f200,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(f3047,plain,
spl0_14,
inference(avatar_split_clause,[],[f1798,f3044]) ).
fof(f3044,plain,
( spl0_14
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1798,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3042,plain,
spl0_13,
inference(avatar_split_clause,[],[f34,f3039]) ).
fof(f3039,plain,
( spl0_13
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f34,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(f3037,plain,
spl0_12,
inference(avatar_split_clause,[],[f2785,f3034]) ).
fof(f3034,plain,
( spl0_12
<=> 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_12])]) ).
fof(f2785,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f983,f962]) ).
fof(f983,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(f3031,plain,
spl0_11,
inference(avatar_split_clause,[],[f1746,f3028]) ).
fof(f3028,plain,
( spl0_11
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1746,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f3026,plain,
spl0_10,
inference(avatar_split_clause,[],[f1800,f3023]) ).
fof(f3023,plain,
( spl0_10
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1800,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3021,plain,
spl0_9,
inference(avatar_split_clause,[],[f1806,f3018]) ).
fof(f3018,plain,
( spl0_9
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1806,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3016,plain,
spl0_8,
inference(avatar_split_clause,[],[f955,f3013]) ).
fof(f3013,plain,
( spl0_8
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f955,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(f3011,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f1245,f3009,f3005]) ).
fof(f1245,axiom,
! [X3] :
( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3)
| c_0 != c_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3003,plain,
spl0_5,
inference(avatar_split_clause,[],[f1722,f3000]) ).
fof(f3000,plain,
( spl0_5
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1722,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f2998,plain,
spl0_4,
inference(avatar_split_clause,[],[f1791,f2995]) ).
fof(f2995,plain,
( spl0_4
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1791,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f2993,plain,
spl0_3,
inference(avatar_split_clause,[],[f1755,f2990]) ).
fof(f2990,plain,
( spl0_3
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1755,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f2988,plain,
spl0_2,
inference(avatar_split_clause,[],[f1725,f2985]) ).
fof(f2985,plain,
( spl0_2
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1725,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_26) ).
fof(f2983,plain,
spl0_1,
inference(avatar_split_clause,[],[f221,f2980]) ).
fof(f2980,plain,
( spl0_1
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f221,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT276-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 01:02:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.56 % (27335)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)
% 0.20/0.57 % (27327)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 % (27346)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.20/0.58 % (27321)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.20/0.58 % (27343)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.20/0.59 % (27338)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.20/0.59 % (27330)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.60 % (27333)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.36/0.61 % (27323)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.36/0.61 % (27326)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.36/0.61 % (27325)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.61 % (27349)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.36/0.61 % (27322)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.61 % (27324)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.61 % (27329)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.61 % (27341)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.36/0.61 % (27329)Instruction limit reached!
% 1.36/0.61 % (27329)------------------------------
% 1.36/0.61 % (27329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.61 % (27329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.61 % (27329)Termination reason: Unknown
% 1.36/0.61 % (27329)Termination phase: shuffling
% 1.36/0.61
% 1.36/0.61 % (27329)Memory used [KB]: 2942
% 1.36/0.61 % (27329)Time elapsed: 0.004 s
% 1.36/0.61 % (27329)Instructions burned: 2 (million)
% 1.36/0.61 % (27329)------------------------------
% 1.36/0.61 % (27329)------------------------------
% 1.36/0.62 % (27347)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.36/0.62 % (27336)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.36/0.62 % (27332)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.62 % (27342)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.36/0.62 % (27345)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.36/0.62 % (27337)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.63 % (27339)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.63 % (27328)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.63 % (27340)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.36/0.63 % (27348)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)
% 1.36/0.63 % (27331)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.64 % (27344)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.60/0.64 % (27334)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.60/0.65 % (27338)Instruction limit reached!
% 1.60/0.65 % (27338)------------------------------
% 1.60/0.65 % (27338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.65 % (27330)Instruction limit reached!
% 1.60/0.65 % (27330)------------------------------
% 1.60/0.65 % (27330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.65 % (27328)Instruction limit reached!
% 1.60/0.65 % (27328)------------------------------
% 1.60/0.65 % (27328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.65 % (27328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (27328)Termination reason: Unknown
% 1.60/0.65 % (27328)Termination phase: Function definition elimination
% 1.60/0.65
% 1.60/0.65 % (27328)Memory used [KB]: 3326
% 1.60/0.65 % (27328)Time elapsed: 0.008 s
% 1.60/0.65 % (27328)Instructions burned: 8 (million)
% 1.60/0.65 % (27328)------------------------------
% 1.60/0.65 % (27328)------------------------------
% 1.60/0.65 % (27350)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.60/0.65 % (27330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (27330)Termination reason: Unknown
% 1.60/0.65 % (27330)Termination phase: Saturation
% 1.60/0.65
% 1.60/0.65 % (27330)Memory used [KB]: 4093
% 1.60/0.65 % (27330)Time elapsed: 0.029 s
% 1.60/0.65 % (27330)Instructions burned: 52 (million)
% 1.60/0.65 % (27330)------------------------------
% 1.60/0.65 % (27330)------------------------------
% 1.60/0.65 % (27338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.65 % (27338)Termination reason: Unknown
% 1.60/0.65 % (27338)Termination phase: Blocked clause elimination
% 1.60/0.65
% 1.60/0.65 % (27338)Memory used [KB]: 3965
% 1.60/0.65 % (27338)Time elapsed: 0.034 s
% 1.60/0.65 % (27338)Instructions burned: 60 (million)
% 1.60/0.65 % (27338)------------------------------
% 1.60/0.65 % (27338)------------------------------
% 1.60/0.68 % (27327)Instruction limit reached!
% 1.60/0.68 % (27327)------------------------------
% 1.60/0.68 % (27327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.68 % (27327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.68 % (27327)Termination reason: Unknown
% 1.60/0.68 % (27327)Termination phase: Finite model building preprocessing
% 1.60/0.68
% 1.60/0.68 % (27327)Memory used [KB]: 4093
% 1.60/0.68 % (27327)Time elapsed: 0.037 s
% 1.60/0.68 % (27327)Instructions burned: 52 (million)
% 1.60/0.68 % (27327)------------------------------
% 1.60/0.68 % (27327)------------------------------
% 1.60/0.68 % (27323)Instruction limit reached!
% 1.60/0.68 % (27323)------------------------------
% 1.60/0.68 % (27323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.68 % (27323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.68 % (27323)Termination reason: Unknown
% 1.60/0.68 % (27323)Termination phase: Property scanning
% 1.60/0.68
% 1.60/0.68 % (27323)Memory used [KB]: 3454
% 1.60/0.68 % (27323)Time elapsed: 0.031 s
% 1.60/0.68 % (27323)Instructions burned: 38 (million)
% 1.60/0.68 % (27323)------------------------------
% 1.60/0.68 % (27323)------------------------------
% 1.60/0.68 % (27325)Instruction limit reached!
% 1.60/0.68 % (27325)------------------------------
% 1.60/0.68 % (27325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.69 % (27335)Instruction limit reached!
% 1.60/0.69 % (27335)------------------------------
% 1.60/0.69 % (27335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.69 % (27335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.69 % (27335)Termination reason: Unknown
% 1.60/0.69 % (27335)Termination phase: Saturation
% 1.60/0.69
% 1.60/0.69 % (27335)Memory used [KB]: 10490
% 1.60/0.69 % (27335)Time elapsed: 0.050 s
% 1.60/0.69 % (27335)Instructions burned: 68 (million)
% 1.60/0.69 % (27335)------------------------------
% 1.60/0.69 % (27335)------------------------------
% 1.60/0.69 % (27324)Instruction limit reached!
% 1.60/0.69 % (27324)------------------------------
% 1.60/0.69 % (27324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.69 % (27324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.69 % (27324)Termination reason: Unknown
% 1.60/0.69 % (27324)Termination phase: Saturation
% 1.60/0.69
% 1.60/0.69 % (27324)Memory used [KB]: 8443
% 1.60/0.69 % (27324)Time elapsed: 0.029 s
% 1.60/0.69 % (27324)Instructions burned: 52 (million)
% 1.60/0.69 % (27324)------------------------------
% 1.60/0.69 % (27324)------------------------------
% 1.60/0.70 % (27326)Instruction limit reached!
% 1.60/0.70 % (27326)------------------------------
% 1.60/0.70 % (27326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.70 % (27326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.70 % (27326)Termination reason: Unknown
% 1.60/0.70 % (27326)Termination phase: Saturation
% 1.60/0.70
% 1.60/0.70 % (27326)Memory used [KB]: 8059
% 1.60/0.70 % (27326)Time elapsed: 0.026 s
% 1.60/0.70 % (27326)Instructions burned: 49 (million)
% 1.60/0.70 % (27326)------------------------------
% 1.60/0.70 % (27326)------------------------------
% 1.60/0.70 % (27325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.70 % (27325)Termination reason: Unknown
% 1.60/0.70 % (27325)Termination phase: Property scanning
% 1.60/0.70
% 1.60/0.70 % (27325)Memory used [KB]: 3326
% 1.60/0.70 % (27325)Time elapsed: 0.034 s
% 1.60/0.70 % (27325)Instructions burned: 52 (million)
% 1.60/0.70 % (27325)------------------------------
% 1.60/0.70 % (27325)------------------------------
% 1.60/0.70 % (27322)Instruction limit reached!
% 1.60/0.70 % (27322)------------------------------
% 1.60/0.70 % (27322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.72 % (27331)Instruction limit reached!
% 1.60/0.72 % (27331)------------------------------
% 1.60/0.72 % (27331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.72 % (27322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.72 % (27322)Termination reason: Unknown
% 1.60/0.72 % (27322)Termination phase: Saturation
% 1.60/0.72
% 1.60/0.72 % (27322)Memory used [KB]: 8315
% 1.60/0.72 % (27322)Time elapsed: 0.028 s
% 1.60/0.72 % (27322)Instructions burned: 50 (million)
% 1.60/0.72 % (27322)------------------------------
% 1.60/0.72 % (27322)------------------------------
% 1.60/0.72 % (27331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.72 % (27331)Termination reason: Unknown
% 1.60/0.72 % (27331)Termination phase: Saturation
% 1.60/0.72
% 1.60/0.72 % (27331)Memory used [KB]: 8187
% 1.60/0.72 % (27331)Time elapsed: 0.027 s
% 1.60/0.72 % (27331)Instructions burned: 51 (million)
% 1.60/0.72 % (27331)------------------------------
% 1.60/0.72 % (27331)------------------------------
% 1.60/0.72 % (27336)Instruction limit reached!
% 1.60/0.72 % (27336)------------------------------
% 1.60/0.72 % (27336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.72 % (27336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.72 % (27336)Termination reason: Unknown
% 1.60/0.72 % (27336)Termination phase: Saturation
% 1.60/0.72
% 1.60/0.72 % (27336)Memory used [KB]: 4093
% 1.60/0.72 % (27336)Time elapsed: 0.055 s
% 1.60/0.72 % (27336)Instructions burned: 76 (million)
% 1.60/0.72 % (27336)------------------------------
% 1.60/0.72 % (27336)------------------------------
% 2.33/0.74 % (27351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.33/0.76 % (27347)Instruction limit reached!
% 2.33/0.76 % (27347)------------------------------
% 2.33/0.76 % (27347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.76 % (27347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.76 % (27347)Termination reason: Unknown
% 2.33/0.76 % (27347)Termination phase: Saturation
% 2.33/0.76
% 2.33/0.76 % (27347)Memory used [KB]: 10490
% 2.33/0.76 % (27347)Time elapsed: 0.039 s
% 2.33/0.76 % (27347)Instructions burned: 69 (million)
% 2.33/0.76 % (27347)------------------------------
% 2.33/0.76 % (27347)------------------------------
% 2.33/0.78 % (27370)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.33/0.78 % (27340)Instruction limit reached!
% 2.33/0.78 % (27340)------------------------------
% 2.33/0.78 % (27340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.78 % (27340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.78 % (27340)Termination reason: Unknown
% 2.33/0.78 % (27340)Termination phase: Saturation
% 2.33/0.78
% 2.33/0.78 % (27340)Memory used [KB]: 4349
% 2.33/0.78 % (27340)Time elapsed: 0.053 s
% 2.33/0.78 % (27340)Instructions burned: 101 (million)
% 2.33/0.78 % (27340)------------------------------
% 2.33/0.78 % (27340)------------------------------
% 2.33/0.78 % (27332)Instruction limit reached!
% 2.33/0.78 % (27332)------------------------------
% 2.33/0.78 % (27332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.78 % (27332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.78 % (27332)Termination reason: Unknown
% 2.33/0.78 % (27332)Termination phase: Saturation
% 2.33/0.78
% 2.33/0.78 % (27332)Memory used [KB]: 9083
% 2.33/0.78 % (27332)Time elapsed: 0.290 s
% 2.33/0.78 % (27332)Instructions burned: 101 (million)
% 2.33/0.78 % (27332)------------------------------
% 2.33/0.78 % (27332)------------------------------
% 2.33/0.78 % (27356)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.33/0.79 % (27357)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)
% 2.33/0.79 % (27333)Instruction limit reached!
% 2.33/0.79 % (27333)------------------------------
% 2.33/0.79 % (27333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.79 % (27333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.79 % (27333)Termination reason: Unknown
% 2.33/0.79 % (27333)Termination phase: Saturation
% 2.33/0.79
% 2.33/0.79 % (27333)Memory used [KB]: 9083
% 2.33/0.79 % (27333)Time elapsed: 0.056 s
% 2.33/0.79 % (27333)Instructions burned: 103 (million)
% 2.33/0.79 % (27333)------------------------------
% 2.33/0.79 % (27333)------------------------------
% 2.33/0.79 % (27358)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.33/0.79 % (27337)Instruction limit reached!
% 2.33/0.79 % (27337)------------------------------
% 2.33/0.79 % (27337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.79 % (27337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.79 % (27337)Termination reason: Unknown
% 2.33/0.79 % (27337)Termination phase: Saturation
% 2.33/0.79
% 2.33/0.79 % (27337)Memory used [KB]: 8443
% 2.33/0.79 % (27337)Time elapsed: 0.272 s
% 2.33/0.79 % (27337)Instructions burned: 100 (million)
% 2.33/0.79 % (27337)------------------------------
% 2.33/0.79 % (27337)------------------------------
% 2.64/0.80 % (27339)Instruction limit reached!
% 2.64/0.80 % (27339)------------------------------
% 2.64/0.80 % (27339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.80 % (27339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.80 % (27339)Termination reason: Unknown
% 2.64/0.80 % (27339)Termination phase: Saturation
% 2.64/0.80
% 2.64/0.80 % (27339)Memory used [KB]: 9338
% 2.64/0.80 % (27339)Time elapsed: 0.077 s
% 2.64/0.80 % (27339)Instructions burned: 100 (million)
% 2.64/0.80 % (27339)------------------------------
% 2.64/0.80 % (27339)------------------------------
% 2.64/0.81 % (27372)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 2.64/0.81 % (27380)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)
% 2.64/0.81 % (27378)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)
% 2.64/0.82 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.64/0.82 % (27384)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)
% 2.64/0.83 % (27334)Instruction limit reached!
% 2.64/0.83 % (27334)------------------------------
% 2.64/0.83 % (27334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.83 % (27334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.83 % (27334)Termination reason: Unknown
% 2.64/0.83 % (27334)Termination phase: Saturation
% 2.64/0.83
% 2.64/0.83 % (27334)Memory used [KB]: 8955
% 2.64/0.83 % (27334)Time elapsed: 0.058 s
% 2.64/0.83 % (27334)Instructions burned: 100 (million)
% 2.64/0.83 % (27334)------------------------------
% 2.64/0.83 % (27334)------------------------------
% 2.64/0.83 % (27383)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)
% 2.64/0.83 % (27395)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)
% 2.64/0.85 % (27396)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)
% 2.64/0.86 % (27398)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.85/0.89 % (27415)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 2.85/0.89 % (27422)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 2.85/0.89 % (27342)Instruction limit reached!
% 2.85/0.89 % (27342)------------------------------
% 2.85/0.89 % (27342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.89 % (27342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.89 % (27342)Termination reason: Unknown
% 2.85/0.89 % (27342)Termination phase: Saturation
% 2.85/0.89
% 2.85/0.89 % (27342)Memory used [KB]: 9594
% 2.85/0.89 % (27342)Time elapsed: 0.102 s
% 2.85/0.89 % (27342)Instructions burned: 138 (million)
% 2.85/0.89 % (27342)------------------------------
% 2.85/0.89 % (27342)------------------------------
% 2.96/0.91 % (27341)Instruction limit reached!
% 2.96/0.91 % (27341)------------------------------
% 2.96/0.91 % (27341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.91 % (27341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.91 % (27341)Termination reason: Unknown
% 2.96/0.91 % (27341)Termination phase: Saturation
% 2.96/0.91
% 2.96/0.91 % (27341)Memory used [KB]: 9722
% 2.96/0.91 % (27341)Time elapsed: 0.088 s
% 2.96/0.91 % (27341)Instructions burned: 178 (million)
% 2.96/0.91 % (27341)------------------------------
% 2.96/0.91 % (27341)------------------------------
% 2.96/0.91 % (27424)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 2.96/0.92 % (27348)Instruction limit reached!
% 2.96/0.92 % (27348)------------------------------
% 2.96/0.92 % (27348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.92 % (27432)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)
% 2.96/0.93 % (27380)Instruction limit reached!
% 2.96/0.93 % (27380)------------------------------
% 2.96/0.93 % (27380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.93 % (27380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.93 % (27380)Termination reason: Unknown
% 2.96/0.93 % (27380)Termination phase: Saturation
% 2.96/0.93
% 2.96/0.93 % (27380)Memory used [KB]: 10490
% 2.96/0.93 % (27380)Time elapsed: 0.037 s
% 2.96/0.93 % (27380)Instructions burned: 68 (million)
% 2.96/0.93 % (27380)------------------------------
% 2.96/0.93 % (27380)------------------------------
% 2.96/0.93 % (27348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.93 % (27348)Termination reason: Unknown
% 2.96/0.93 % (27348)Termination phase: Saturation
% 2.96/0.93
% 2.96/0.93 % (27348)Memory used [KB]: 5373
% 2.96/0.93 % (27348)Time elapsed: 0.416 s
% 2.96/0.93 % (27348)Instructions burned: 177 (million)
% 2.96/0.93 % (27348)------------------------------
% 2.96/0.93 % (27348)------------------------------
% 3.14/0.93 % (27428)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)
% 3.14/0.94 % (27357)Instruction limit reached!
% 3.14/0.94 % (27357)------------------------------
% 3.14/0.94 % (27357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.94 % (27357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.94 % (27357)Termination reason: Unknown
% 3.14/0.94 % (27357)Termination phase: Saturation
% 3.14/0.94
% 3.14/0.94 % (27357)Memory used [KB]: 8443
% 3.14/0.94 % (27357)Time elapsed: 0.240 s
% 3.14/0.94 % (27357)Instructions burned: 91 (million)
% 3.14/0.94 % (27357)------------------------------
% 3.14/0.94 % (27357)------------------------------
% 3.14/0.94 % (27434)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)
% 3.14/0.96 % (27460)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)
% 3.14/0.98 % (27395)Instruction limit reached!
% 3.14/0.98 % (27395)------------------------------
% 3.14/0.98 % (27395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/0.98 % (27395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/0.98 % (27395)Termination reason: Unknown
% 3.14/0.98 % (27395)Termination phase: Saturation
% 3.14/0.98
% 3.14/0.98 % (27395)Memory used [KB]: 8571
% 3.14/0.98 % (27395)Time elapsed: 0.221 s
% 3.14/0.98 % (27395)Instructions burned: 91 (million)
% 3.14/0.98 % (27395)------------------------------
% 3.14/0.98 % (27395)------------------------------
% 3.14/1.02 % (27508)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.14/1.03 % (27432)Instruction limit reached!
% 3.14/1.03 % (27432)------------------------------
% 3.14/1.03 % (27432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.14/1.03 % (27432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.14/1.03 % (27432)Termination reason: Unknown
% 3.14/1.03 % (27432)Termination phase: Saturation
% 3.14/1.03
% 3.14/1.03 % (27432)Memory used [KB]: 10490
% 3.14/1.03 % (27432)Time elapsed: 0.035 s
% 3.14/1.03 % (27432)Instructions burned: 69 (million)
% 3.14/1.03 % (27432)------------------------------
% 3.14/1.03 % (27432)------------------------------
% 3.14/1.03 % (27498)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 3.52/1.07 % (27521)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.52/1.07 % (27517)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)
% 3.52/1.07 % (27518)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)
% 3.64/1.12 % (27530)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 3.64/1.13 % (27356)Instruction limit reached!
% 3.64/1.13 % (27356)------------------------------
% 3.64/1.13 % (27356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/1.13 % (27356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/1.13 % (27356)Termination reason: Unknown
% 3.64/1.13 % (27356)Termination phase: Saturation
% 3.64/1.13
% 3.64/1.13 % (27356)Memory used [KB]: 5884
% 3.64/1.13 % (27356)Time elapsed: 0.436 s
% 3.64/1.13 % (27356)Instructions burned: 212 (million)
% 3.64/1.13 % (27356)------------------------------
% 3.64/1.13 % (27356)------------------------------
% 5.86/1.17 % (27544)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)
% 6.16/1.22 % (27517)Instruction limit reached!
% 6.16/1.22 % (27517)------------------------------
% 6.16/1.22 % (27517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.22 % (27517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.22 % (27517)Termination reason: Unknown
% 6.16/1.22 % (27517)Termination phase: Saturation
% 6.16/1.22
% 6.16/1.22 % (27517)Memory used [KB]: 8571
% 6.16/1.22 % (27517)Time elapsed: 0.253 s
% 6.16/1.22 % (27517)Instructions burned: 90 (million)
% 6.16/1.22 % (27517)------------------------------
% 6.16/1.22 % (27517)------------------------------
% 6.35/1.24 % (27350)Instruction limit reached!
% 6.35/1.24 % (27350)------------------------------
% 6.35/1.24 % (27350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.24 % (27350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.24 % (27350)Termination reason: Unknown
% 6.35/1.24 % (27350)Termination phase: Saturation
% 6.35/1.24
% 6.35/1.24 % (27350)Memory used [KB]: 12409
% 6.35/1.24 % (27350)Time elapsed: 0.735 s
% 6.35/1.24 % (27350)Instructions burned: 356 (million)
% 6.35/1.24 % (27350)------------------------------
% 6.35/1.24 % (27350)------------------------------
% 6.35/1.26 % (27570)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)
% 6.35/1.32 % (27351)Instruction limit reached!
% 6.35/1.32 % (27351)------------------------------
% 6.35/1.32 % (27351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.35/1.32 % (27351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.35/1.32 % (27351)Termination reason: Unknown
% 6.35/1.32 % (27351)Termination phase: Saturation
% 6.35/1.32
% 6.35/1.32 % (27351)Memory used [KB]: 11001
% 6.35/1.32 % (27351)Time elapsed: 0.648 s
% 6.35/1.32 % (27351)Instructions burned: 388 (million)
% 6.35/1.32 % (27351)------------------------------
% 6.35/1.32 % (27351)------------------------------
% 7.03/1.36 % (27606)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 7.03/1.36 % (27349)Instruction limit reached!
% 7.03/1.36 % (27349)------------------------------
% 7.03/1.36 % (27349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.36 % (27349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.36 % (27349)Termination reason: Unknown
% 7.03/1.36 % (27349)Termination phase: Saturation
% 7.03/1.36
% 7.03/1.36 % (27349)Memory used [KB]: 15479
% 7.03/1.36 % (27349)Time elapsed: 0.867 s
% 7.03/1.36 % (27349)Instructions burned: 440 (million)
% 7.03/1.36 % (27349)------------------------------
% 7.03/1.36 % (27349)------------------------------
% 7.03/1.37 % (27607)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.49/1.42 % (27344)Instruction limit reached!
% 7.49/1.42 % (27344)------------------------------
% 7.49/1.42 % (27344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.49/1.42 % (27344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.49/1.42 % (27344)Termination reason: Unknown
% 7.49/1.42 % (27344)Termination phase: Saturation
% 7.49/1.42
% 7.49/1.42 % (27344)Memory used [KB]: 12409
% 7.49/1.42 % (27344)Time elapsed: 0.927 s
% 7.49/1.42 % (27344)Instructions burned: 467 (million)
% 7.49/1.42 % (27344)------------------------------
% 7.49/1.42 % (27344)------------------------------
% 7.49/1.43 % (27608)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.49/1.45 % (27343)Instruction limit reached!
% 7.49/1.45 % (27343)------------------------------
% 7.49/1.45 % (27343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.49/1.45 % (27343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.49/1.45 % (27343)Termination reason: Unknown
% 7.49/1.45 % (27343)Termination phase: Saturation
% 7.49/1.45
% 7.49/1.45 % (27343)Memory used [KB]: 6396
% 7.49/1.45 % (27343)Time elapsed: 0.933 s
% 7.49/1.45 % (27343)Instructions burned: 498 (million)
% 7.49/1.45 % (27343)------------------------------
% 7.49/1.45 % (27343)------------------------------
% 8.02/1.47 TRYING [1]
% 8.13/1.49 % (27609)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.13/1.50 % (27346)Instruction limit reached!
% 8.13/1.50 % (27346)------------------------------
% 8.13/1.50 % (27346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.13/1.50 % (27346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.13/1.50 % (27346)Termination reason: Unknown
% 8.13/1.50 % (27346)Termination phase: Saturation
% 8.13/1.50
% 8.13/1.50 % (27346)Memory used [KB]: 12409
% 8.13/1.50 % (27346)Time elapsed: 0.982 s
% 8.13/1.50 % (27346)Instructions burned: 500 (million)
% 8.13/1.50 % (27346)------------------------------
% 8.13/1.50 % (27346)------------------------------
% 8.13/1.50 % (27415)First to succeed.
% 8.33/1.52 % (27415)Refutation found. Thanks to Tanya!
% 8.33/1.52 % SZS status Unsatisfiable for theBenchmark
% 8.33/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 8.33/1.53 % (27415)------------------------------
% 8.33/1.53 % (27415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.33/1.53 % (27415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.33/1.53 % (27415)Termination reason: Refutation
% 8.33/1.53
% 8.33/1.53 % (27415)Memory used [KB]: 5884
% 8.33/1.53 % (27415)Time elapsed: 0.669 s
% 8.33/1.53 % (27415)Instructions burned: 445 (million)
% 8.33/1.53 % (27415)------------------------------
% 8.33/1.53 % (27415)------------------------------
% 8.33/1.53 % (27320)Success in time 1.178 s
%------------------------------------------------------------------------------