TSTP Solution File: LAT263-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT263-1 : 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 : n002.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 17:36:29 EDT 2022
% Result : Unsatisfiable 11.97s 1.96s
% Output : Refutation 11.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 375
% Syntax : Number of formulae : 627 ( 344 unt; 0 def)
% Number of atoms : 1027 ( 174 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 629 ( 229 ~; 216 |; 0 &)
% ( 184 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 250 ( 248 usr; 185 prp; 0-3 aty)
% Number of functors : 72 ( 72 usr; 42 con; 0-3 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4146,plain,
$false,
inference(avatar_smt_refutation,[],[f2975,f2980,f2985,f2993,f2998,f3003,f3008,f3013,f3018,f3023,f3028,f3033,f3038,f3043,f3048,f3053,f3058,f3063,f3068,f3073,f3078,f3085,f3086,f3091,f3096,f3101,f3106,f3111,f3116,f3121,f3126,f3131,f3137,f3142,f3147,f3148,f3154,f3159,f3164,f3169,f3174,f3179,f3184,f3189,f3194,f3200,f3205,f3211,f3216,f3222,f3227,f3232,f3237,f3242,f3247,f3252,f3260,f3265,f3270,f3275,f3280,f3285,f3290,f3295,f3300,f3305,f3310,f3315,f3322,f3327,f3332,f3338,f3343,f3348,f3355,f3357,f3363,f3368,f3373,f3378,f3383,f3388,f3393,f3398,f3403,f3408,f3413,f3419,f3421,f3426,f3431,f3436,f3442,f3448,f3454,f3459,f3468,f3473,f3478,f3483,f3488,f3494,f3499,f3504,f3509,f3515,f3520,f3525,f3530,f3535,f3540,f3545,f3550,f3555,f3560,f3565,f3570,f3580,f3589,f3594,f3603,f3608,f3614,f3619,f3624,f3630,f3635,f3642,f3647,f3652,f3657,f3662,f3663,f3668,f3673,f3678,f3683,f3688,f3693,f3698,f3703,f3708,f3709,f3714,f3721,f3726,f3731,f3737,f3742,f3747,f3752,f3754,f3759,f3764,f3769,f3775,f3780,f3784,f3789,f3794,f3800,f3805,f3812,f3817,f3822,f3827,f3832,f3838,f3843,f3849,f3854,f3896,f3902,f3903,f3921,f3929,f3935,f3952,f3960,f3965,f3971,f4052,f4057,f4120,f4129,f4134,f4143,f4145]) ).
fof(f4145,plain,
( ~ spl0_62
| spl0_146
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f4144,f4141,f3744,f3282]) ).
fof(f3282,plain,
( spl0_62
<=> c_lessequals(v_S,v_A,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f3744,plain,
( spl0_146
<=> c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f4141,plain,
( spl0_184
<=> ! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f4144,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| spl0_146
| ~ spl0_184 ),
inference(resolution,[],[f4142,f3746]) ).
fof(f3746,plain,
( ~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| spl0_146 ),
inference(avatar_component_clause,[],[f3744]) ).
fof(f4142,plain,
( ! [X0] :
( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f4141]) ).
fof(f4143,plain,
( ~ spl0_40
| spl0_184
| ~ spl0_70
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f4139,f3690,f3324,f4141,f3171]) ).
fof(f3171,plain,
( spl0_40
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f3324,plain,
( spl0_70
<=> v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f3690,plain,
( spl0_136
<=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f4139,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) )
| ~ spl0_70
| ~ spl0_136 ),
inference(forward_demodulation,[],[f4138,f3326]) ).
fof(f3326,plain,
( v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f4138,plain,
( ! [X0] :
( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) )
| ~ spl0_70
| ~ spl0_136 ),
inference(forward_demodulation,[],[f4137,f2746]) ).
fof(f2746,axiom,
! [X3,X93] : c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X93,X3),X3,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f4137,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a) )
| ~ spl0_70
| ~ spl0_136 ),
inference(forward_demodulation,[],[f4136,f3326]) ).
fof(f4136,plain,
( ! [X0] :
( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) )
| ~ spl0_136 ),
inference(forward_demodulation,[],[f4135,f2746]) ).
fof(f4135,plain,
( ! [X0] :
( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) )
| ~ spl0_136 ),
inference(resolution,[],[f2738,f3692]) ).
fof(f3692,plain,
( c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f2738,axiom,
! [X82,X3,X93] :
( ~ c_in(X93,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_in(c_Tarski_Olub(X82,X93,X3),c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit),X3)
| ~ c_lessequals(X82,c_Tarski_Opotype_Opset(X93,X3,tc_Product__Type_Ounit),tc_set(X3))
| ~ c_in(X93,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__in__lattice_0) ).
fof(f4134,plain,
( spl0_183
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f4124,f3171,f4131]) ).
fof(f4131,plain,
( spl0_183
<=> c_Relation_Otrans(c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f4124,plain,
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_40 ),
inference(resolution,[],[f2741,f3173]) ).
fof(f3173,plain,
( c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f3171]) ).
fof(f2741,axiom,
! [X3,X93] :
( ~ c_in(X93,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X3,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X93,X3,tc_Product__Type_Ounit),X3) ),
file('/export/starexec/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(f4129,plain,
( spl0_182
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f4123,f3649,f4126]) ).
fof(f4126,plain,
( spl0_182
<=> c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f3649,plain,
( spl0_128
<=> 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_128])]) ).
fof(f4123,plain,
( c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| ~ spl0_128 ),
inference(resolution,[],[f2741,f3651]) ).
fof(f3651,plain,
( c_in(v_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f4120,plain,
( spl0_180
| ~ spl0_181
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f4110,f3282,f4117,f4113]) ).
fof(f4113,plain,
( spl0_180
<=> v_A = v_S ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f4117,plain,
( spl0_181
<=> c_lessequals(v_A,v_S,tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f4110,plain,
( ~ c_lessequals(v_A,v_S,tc_set(t_a))
| v_A = v_S
| ~ spl0_62 ),
inference(resolution,[],[f1688,f3284]) ).
fof(f3284,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f1688,axiom,
! [X31,X3,X27] :
( ~ c_lessequals(X31,X27,tc_set(X3))
| X27 = X31
| ~ c_lessequals(X27,X31,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f4057,plain,
( spl0_179
| ~ spl0_30
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f4012,f3433,f3118,f4054]) ).
fof(f4054,plain,
( spl0_179
<=> c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f3118,plain,
( spl0_30
<=> c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f3433,plain,
( spl0_90
<=> 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_90])]) ).
fof(f4012,plain,
( c_Numeral_Obin__succ(c_Numeral_OPls) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_30
| ~ spl0_90 ),
inference(backward_demodulation,[],[f3435,f3120]) ).
fof(f3120,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__succ(c_Numeral_OPls)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f3435,plain,
( c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1) = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OMin)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f3433]) ).
fof(f4052,plain,
( spl0_178
| ~ spl0_30
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f4013,f3567,f3118,f4049]) ).
fof(f4049,plain,
( spl0_178
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f3567,plain,
( spl0_115
<=> c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f4013,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_Obin__succ(c_Numeral_OPls),tc_nat)
| ~ spl0_30
| ~ spl0_115 ),
inference(backward_demodulation,[],[f3569,f3120]) ).
fof(f3569,plain,
( c_1 = c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),tc_nat)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f3567]) ).
fof(f3971,plain,
( spl0_177
| ~ spl0_124
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f3966,f3791,f3627,f3968]) ).
fof(f3968,plain,
( spl0_177
<=> c_1 = c_IntDef_Onat(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f3627,plain,
( spl0_124
<=> 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_124])]) ).
fof(f3791,plain,
( spl0_154
<=> c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f3966,plain,
( c_1 = c_IntDef_Onat(c_1)
| ~ spl0_124
| ~ spl0_154 ),
inference(backward_demodulation,[],[f3629,f3793]) ).
fof(f3793,plain,
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f3791]) ).
fof(f3629,plain,
( c_IntDef_Onat(c_1) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f3627]) ).
fof(f3965,plain,
( spl0_176
| spl0_172
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3961,f3584,f3947,f3963]) ).
fof(f3963,plain,
( spl0_176
<=> ! [X3] :
( c_lessequals(c_0,c_1,X3)
| ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f3947,plain,
( spl0_172
<=> ! [X35] : ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3584,plain,
( spl0_117
<=> ! [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_117])]) ).
fof(f3961,plain,
( ! [X3,X35] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_lessequals(c_0,c_1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3) )
| ~ spl0_117 ),
inference(forward_subsumption_demodulation,[],[f3936,f1207]) ).
fof(f1207,axiom,
! [X3,X15] :
( c_1 = c_Nat_Opower(X15,c_0,X3)
| ~ class_Power_Orecpower(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Power_Orecpower__class_Oaxioms__1_0) ).
fof(f3936,plain,
( ! [X3,X11,X35] :
( ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_lessequals(c_0,c_Nat_Opower(X11,c_0,X3),X3) )
| ~ spl0_117 ),
inference(backward_subsumption_demodulation,[],[f1179,f3585]) ).
fof(f3585,plain,
( ! [X35] :
( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f3584]) ).
fof(f1179,axiom,
! [X3,X11,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_lessequals(c_0,c_Nat_Opower(X11,c_Numeral_Onumber__of(X35,tc_nat),X3),X3)
| ~ class_Power_Orecpower(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__le__power__eq__number__of_1) ).
fof(f3960,plain,
( spl0_174
| spl0_172
| spl0_175
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3953,f3584,f3958,f3947,f3955]) ).
fof(f3955,plain,
( spl0_174
<=> ! [X11] : c_0 = X11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f3958,plain,
( spl0_175
<=> ! [X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_lessequals(c_1,c_0,X3)
| ~ class_Power_Orecpower(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3953,plain,
( ! [X3,X11,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = X11
| ~ class_Power_Orecpower(X3)
| ~ c_lessequals(c_1,c_0,X3) )
| ~ spl0_117 ),
inference(forward_subsumption_demodulation,[],[f3938,f1207]) ).
fof(f3938,plain,
( ! [X3,X11,X35] :
( ~ c_lessequals(c_Nat_Opower(X11,c_0,X3),c_0,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = X11
| ~ class_Power_Orecpower(X3) )
| ~ spl0_117 ),
inference(backward_subsumption_demodulation,[],[f1168,f3585]) ).
fof(f1168,axiom,
! [X3,X11,X35] :
( c_0 = X11
| ~ c_lessequals(c_Nat_Opower(X11,c_Numeral_Onumber__of(X35,tc_nat),X3),c_0,X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_1) ).
fof(f3952,plain,
( spl0_172
| spl0_173
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f3945,f3584,f3950,f3947]) ).
fof(f3950,plain,
( spl0_173
<=> ! [X3] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ class_Power_Orecpower(X3)
| ~ c_less(c_1,c_0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f3945,plain,
( ! [X3,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ c_less(c_1,c_0,X3)
| ~ class_Power_Orecpower(X3) )
| ~ spl0_117 ),
inference(forward_subsumption_demodulation,[],[f3939,f1207]) ).
fof(f3939,plain,
( ! [X3,X11,X35] :
( ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ c_less(c_Nat_Opower(X11,c_0,X3),c_0,X3) )
| ~ spl0_117 ),
inference(backward_subsumption_demodulation,[],[f1173,f3585]) ).
fof(f1173,axiom,
! [X3,X11,X35] :
( ~ c_less(c_Nat_Opower(X11,c_Numeral_Onumber__of(X35,tc_nat),X3),c_0,X3)
| ~ class_Power_Orecpower(X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__less__zero__eq__number__of_0) ).
fof(f3935,plain,
( spl0_171
| ~ spl0_12
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f3930,f3506,f3025,f3932]) ).
fof(f3932,plain,
( spl0_171
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3025,plain,
( spl0_12
<=> c_0 = c_IntDef_Oint(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3506,plain,
( spl0_103
<=> c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f3930,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_12
| ~ spl0_103 ),
inference(forward_demodulation,[],[f3508,f3027]) ).
fof(f3027,plain,
( c_0 = c_IntDef_Oint(c_0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f3508,plain,
( c_IntDef_Oint(c_0) = c_uminus(c_IntDef_Oint(c_0),tc_IntDef_Oint)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f3506]) ).
fof(f3929,plain,
( spl0_170
| ~ spl0_16
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f3924,f3627,f3045,f3926]) ).
fof(f3926,plain,
( spl0_170
<=> c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3045,plain,
( spl0_16
<=> 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_16])]) ).
fof(f3924,plain,
( c_IntDef_Onat(c_1) = c_times(c_1,c_1,tc_nat)
| ~ spl0_16
| ~ spl0_124 ),
inference(backward_demodulation,[],[f3047,f3629]) ).
fof(f3047,plain,
( c_times(c_1,c_1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f3921,plain,
( spl0_169
| ~ spl0_12
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f3916,f3532,f3025,f3918]) ).
fof(f3918,plain,
( spl0_169
<=> c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3532,plain,
( spl0_108
<=> c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f3916,plain,
( c_lessequals(c_0,c_0,tc_IntDef_Oint)
| ~ spl0_12
| ~ spl0_108 ),
inference(forward_demodulation,[],[f3534,f3027]) ).
fof(f3534,plain,
( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f3532]) ).
fof(f3903,plain,
( spl0_166
| spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3882,f2988,f3025,f3891]) ).
fof(f3891,plain,
( spl0_166
<=> ! [X36] : ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f2988,plain,
( spl0_4
<=> ! [X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f3882,plain,
( ! [X36] :
( c_0 = c_IntDef_Oint(c_0)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[],[f701,f2989]) ).
fof(f2989,plain,
( ! [X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f701,axiom,
! [X36] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_IntDef_Oint(c_Numeral_Onumber__of(X36,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oint__nat__number__of_0) ).
fof(f3902,plain,
( spl0_166
| spl0_168
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3897,f3045,f2988,f3899,f3891]) ).
fof(f3899,plain,
( spl0_168
<=> c_1 = c_times(c_1,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3897,plain,
( ! [X36] :
( c_1 = c_times(c_1,c_1,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_4
| ~ spl0_16 ),
inference(forward_demodulation,[],[f3887,f3047]) ).
fof(f3887,plain,
( ! [X36] :
( c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[],[f2807,f2989]) ).
fof(f2807,plain,
! [X36] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_Numeral_Onumber__of(X36,tc_nat),tc_nat),tc_nat) ),
inference(definition_unfolding,[],[f672,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(f672,axiom,
! [X36] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_1 = c_Suc(c_Numeral_Onumber__of(X36,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_OSuc__nat__number__of_0) ).
fof(f3896,plain,
( spl0_166
| spl0_167
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f3886,f2988,f3894,f3891]) ).
fof(f3894,plain,
( spl0_167
<=> ! [X3] :
( ~ class_Numeral_Onumber__ring(X3)
| c_0 = c_NatArith_Oof__nat(c_0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3886,plain,
( ! [X3,X36] :
( ~ class_Numeral_Onumber__ring(X3)
| c_0 = c_NatArith_Oof__nat(c_0,X3)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) )
| ~ spl0_4 ),
inference(backward_subsumption_demodulation,[],[f718,f2989]) ).
fof(f718,axiom,
! [X3,X36] :
( ~ class_Numeral_Onumber__ring(X3)
| c_0 = c_NatArith_Oof__nat(c_Numeral_Onumber__of(X36,tc_nat),X3)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oof__nat__number__of__eq_0) ).
fof(f3854,plain,
spl0_165,
inference(avatar_split_clause,[],[f535,f3851]) ).
fof(f3851,plain,
( spl0_165
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble5,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
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(f3849,plain,
spl0_164,
inference(avatar_split_clause,[],[f1005,f3846]) ).
fof(f3846,plain,
( spl0_164
<=> c_Numeral_OPls = c_Numeral_Obin__succ(c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
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(f3843,plain,
spl0_163,
inference(avatar_split_clause,[],[f531,f3840]) ).
fof(f3840,plain,
( spl0_163
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble1,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
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(f3838,plain,
spl0_162,
inference(avatar_split_clause,[],[f1752,f3835]) ).
fof(f3835,plain,
( spl0_162
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1752,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f3832,plain,
spl0_161,
inference(avatar_split_clause,[],[f1798,f3829]) ).
fof(f3829,plain,
( spl0_161
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1798,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f3827,plain,
spl0_160,
inference(avatar_split_clause,[],[f1728,f3824]) ).
fof(f3824,plain,
( spl0_160
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
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(f3822,plain,
spl0_159,
inference(avatar_split_clause,[],[f1789,f3819]) ).
fof(f3819,plain,
( spl0_159
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1789,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_21) ).
fof(f3817,plain,
spl0_158,
inference(avatar_split_clause,[],[f1737,f3814]) ).
fof(f3814,plain,
( spl0_158
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
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(f3812,plain,
spl0_157,
inference(avatar_split_clause,[],[f1723,f3809]) ).
fof(f3809,plain,
( spl0_157
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1723,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_24) ).
fof(f3805,plain,
spl0_156,
inference(avatar_split_clause,[],[f1730,f3802]) ).
fof(f3802,plain,
( spl0_156
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
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(f3800,plain,
~ spl0_155,
inference(avatar_split_clause,[],[f159,f3797]) ).
fof(f3797,plain,
( spl0_155
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
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(f3794,plain,
spl0_154,
inference(avatar_split_clause,[],[f2964,f3791]) ).
fof(f2964,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f866,f1394]) ).
fof(f866,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
fof(f3789,plain,
spl0_153,
inference(avatar_split_clause,[],[f1751,f3786]) ).
fof(f3786,plain,
( spl0_153
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1751,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f3784,plain,
( spl0_57
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1245,f3254,f3258]) ).
fof(f3258,plain,
( spl0_57
<=> ! [X3] : ~ class_Ring__and__Field_Oaxclass__0__neq__1(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f3254,plain,
( spl0_56
<=> c_0 = c_1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1245,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_Oaxclass__0__neq__1__class_Oaxioms_0) ).
fof(f3780,plain,
spl0_152,
inference(avatar_split_clause,[],[f1758,f3777]) ).
fof(f3777,plain,
( spl0_152
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1758,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f3775,plain,
spl0_151,
inference(avatar_split_clause,[],[f1140,f3772]) ).
fof(f3772,plain,
( spl0_151
<=> c_Parity_Oeven(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1140,axiom,
c_Parity_Oeven(c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__nat__zero_0) ).
fof(f3769,plain,
spl0_150,
inference(avatar_split_clause,[],[f538,f3766]) ).
fof(f3766,plain,
( spl0_150
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble8,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
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(f3764,plain,
~ spl0_149,
inference(avatar_split_clause,[],[f1479,f3761]) ).
fof(f3761,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(f3759,plain,
spl0_148,
inference(avatar_split_clause,[],[f529,f3756]) ).
fof(f3756,plain,
( spl0_148
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleF,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
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(f3754,plain,
~ spl0_56,
inference(avatar_split_clause,[],[f220,f3254]) ).
fof(f220,axiom,
c_0 != c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__0__neq__1_0) ).
fof(f3752,plain,
spl0_147,
inference(avatar_split_clause,[],[f1735,f3749]) ).
fof(f3749,plain,
( spl0_147
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1735,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f3747,plain,
~ spl0_146,
inference(avatar_split_clause,[],[f2940,f3744]) ).
fof(f2940,plain,
~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
inference(definition_unfolding,[],[f2748,f2745]) ).
fof(f2745,axiom,
! [X82,X3,X93] : c_Tarski_Oglb(X82,X93,X3) = c_Tarski_Olub(X82,c_Tarski_Odual(X93,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f2748,axiom,
~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3742,plain,
( ~ spl0_56
| spl0_145 ),
inference(avatar_split_clause,[],[f3738,f3740,f3254]) ).
fof(f3740,plain,
( spl0_145
<=> ! [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_145])]) ).
fof(f3738,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(backward_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_1 != c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat)
| c_less(c_0,c_Divides_Oop_Amod(X25,c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),c_Numeral_Obit_OB0),tc_nat),tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatSimprocs_Omod2__gr__0_1) ).
fof(f3737,plain,
spl0_144,
inference(avatar_split_clause,[],[f1417,f3734]) ).
fof(f3734,plain,
( spl0_144
<=> c_emptyset = c_SetInterval_OlessThan(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
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(f3731,plain,
spl0_143,
inference(avatar_split_clause,[],[f1384,f3728]) ).
fof(f3728,plain,
( spl0_143
<=> c_SetInterval_OatMost(c_0,tc_nat) = c_insert(c_0,c_emptyset,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(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(f3726,plain,
spl0_142,
inference(avatar_split_clause,[],[f1787,f3723]) ).
fof(f3723,plain,
( spl0_142
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1787,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f3721,plain,
spl0_141,
inference(avatar_split_clause,[],[f716,f3718]) ).
fof(f3718,plain,
( spl0_141
<=> c_0 = c_Numeral_Onumber__of(c_Numeral_OPls,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
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(f3714,plain,
spl0_140,
inference(avatar_split_clause,[],[f1716,f3711]) ).
fof(f3711,plain,
( spl0_140
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
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(f3709,plain,
~ spl0_14,
inference(avatar_split_clause,[],[f100,f3035]) ).
fof(f3035,plain,
( spl0_14
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
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(f3708,plain,
spl0_139,
inference(avatar_split_clause,[],[f1745,f3705]) ).
fof(f3705,plain,
( spl0_139
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
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(f3703,plain,
spl0_138,
inference(avatar_split_clause,[],[f1710,f3700]) ).
fof(f3700,plain,
( spl0_138
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1710,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_12) ).
fof(f3698,plain,
spl0_137,
inference(avatar_split_clause,[],[f1750,f3695]) ).
fof(f3695,plain,
( spl0_137
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1750,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f3693,plain,
spl0_136,
inference(avatar_split_clause,[],[f2744,f3690]) ).
fof(f2744,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f3688,plain,
spl0_135,
inference(avatar_split_clause,[],[f1818,f3685]) ).
fof(f3685,plain,
( spl0_135
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1818,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f3683,plain,
spl0_134,
inference(avatar_split_clause,[],[f1738,f3680]) ).
fof(f3680,plain,
( spl0_134
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
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(f3678,plain,
spl0_133,
inference(avatar_split_clause,[],[f1757,f3675]) ).
fof(f3675,plain,
( spl0_133
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
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(f3673,plain,
spl0_132,
inference(avatar_split_clause,[],[f1013,f3670]) ).
fof(f3670,plain,
( spl0_132
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB0,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
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(f3668,plain,
spl0_131,
inference(avatar_split_clause,[],[f1791,f3665]) ).
fof(f3665,plain,
( spl0_131
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1791,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_23) ).
fof(f3663,plain,
spl0_4,
inference(avatar_split_clause,[],[f698,f2988]) ).
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(f3662,plain,
~ spl0_130,
inference(avatar_split_clause,[],[f1160,f3659]) ).
fof(f3659,plain,
( spl0_130
<=> c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1160,axiom,
~ c_Parity_Oeven(c_1,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oodd__one_0) ).
fof(f3657,plain,
spl0_129,
inference(avatar_split_clause,[],[f1746,f3654]) ).
fof(f3654,plain,
( spl0_129
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
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(f3652,plain,
spl0_128,
inference(avatar_split_clause,[],[f2742,f3649]) ).
fof(f2742,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(f3647,plain,
spl0_127,
inference(avatar_split_clause,[],[f1802,f3644]) ).
fof(f3644,plain,
( spl0_127
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1802,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f3642,plain,
spl0_126,
inference(avatar_split_clause,[],[f329,f3639]) ).
fof(f3639,plain,
( spl0_126
<=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f329,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left_1) ).
fof(f3635,plain,
spl0_125,
inference(avatar_split_clause,[],[f1744,f3632]) ).
fof(f3632,plain,
( spl0_125
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
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(f3630,plain,
spl0_124,
inference(avatar_split_clause,[],[f2927,f3627]) ).
fof(f2927,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(f3624,plain,
spl0_123,
inference(avatar_split_clause,[],[f1749,f3621]) ).
fof(f3621,plain,
( spl0_123
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1749,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f3619,plain,
spl0_122,
inference(avatar_split_clause,[],[f1812,f3616]) ).
fof(f3616,plain,
( spl0_122
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1812,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f3614,plain,
( spl0_117
| spl0_121 ),
inference(avatar_split_clause,[],[f3610,f3612,f3584]) ).
fof(f3612,plain,
( spl0_121
<=> ! [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_121])]) ).
fof(f3610,plain,
! [X3,X35] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_lessequals(c_0,c_0,X3)
| ~ class_Power_Orecpower(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f1172,f1162]) ).
fof(f1162,axiom,
! [X3,X35] :
( c_0 = c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3)
| ~ class_Power_Orecpower(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)
| ~ class_Power_Orecpower(X3)
| c_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Opower__le__zero__eq__number__of_5) ).
fof(f3608,plain,
spl0_120,
inference(avatar_split_clause,[],[f2863,f3605]) ).
fof(f3605,plain,
( spl0_120
<=> 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_120])]) ).
fof(f2863,plain,
c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0) = c_Numeral_Obin__add(c_Numeral_OMin,c_Numeral_OMin),
inference(definition_unfolding,[],[f983,f963]) ).
fof(f963,axiom,
! [X35] : c_Numeral_Obin__pred(X35) = c_Numeral_Obin__add(X35,c_Numeral_OMin),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__add__Min__right_0) ).
fof(f983,axiom,
c_Numeral_Obin__pred(c_Numeral_OMin) = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obin__pred__Min_0) ).
fof(f3603,plain,
spl0_4,
inference(avatar_split_clause,[],[f682,f2988]) ).
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,[],[f1732,f3591]) ).
fof(f3591,plain,
( spl0_119
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1732,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f3589,plain,
( spl0_117
| spl0_118 ),
inference(avatar_split_clause,[],[f3582,f3587,f3584]) ).
fof(f3587,plain,
( spl0_118
<=> ! [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_118])]) ).
fof(f3582,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_0 = c_Numeral_Onumber__of(X35,tc_nat)
| ~ c_Parity_Oeven(c_Numeral_Onumber__of(X35,tc_nat),tc_nat)
| ~ class_Power_Orecpower(X3)
| ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X35,tc_nat),X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Ozero__less__power__eq__number__of_1) ).
fof(f3580,plain,
spl0_116,
inference(avatar_split_clause,[],[f1707,f3577]) ).
fof(f3577,plain,
( spl0_116
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1707,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_1) ).
fof(f3570,plain,
spl0_115,
inference(avatar_split_clause,[],[f717,f3567]) ).
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(f3565,plain,
spl0_114,
inference(avatar_split_clause,[],[f1709,f3562]) ).
fof(f3562,plain,
( spl0_114
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1709,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_11) ).
fof(f3560,plain,
spl0_113,
inference(avatar_split_clause,[],[f1810,f3557]) ).
fof(f3557,plain,
( spl0_113
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1810,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f3555,plain,
spl0_112,
inference(avatar_split_clause,[],[f1733,f3552]) ).
fof(f3552,plain,
( spl0_112
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1733,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f3550,plain,
spl0_111,
inference(avatar_split_clause,[],[f1821,f3547]) ).
fof(f3547,plain,
( spl0_111
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1821,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f3545,plain,
spl0_110,
inference(avatar_split_clause,[],[f1727,f3542]) ).
fof(f3542,plain,
( spl0_110
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1727,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_28) ).
fof(f3540,plain,
spl0_109,
inference(avatar_split_clause,[],[f1153,f3537]) ).
fof(f3537,plain,
( spl0_109
<=> c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1153,axiom,
c_Parity_Oeven(c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Parity_Oeven__zero_0) ).
fof(f3535,plain,
spl0_108,
inference(avatar_split_clause,[],[f227,f3532]) ).
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(f3530,plain,
spl0_107,
inference(avatar_split_clause,[],[f1806,f3527]) ).
fof(f3527,plain,
( spl0_107
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1806,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f3525,plain,
spl0_106,
inference(avatar_split_clause,[],[f530,f3522]) ).
fof(f3522,plain,
( spl0_106
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble0,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
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(f3520,plain,
spl0_105,
inference(avatar_split_clause,[],[f1711,f3517]) ).
fof(f3517,plain,
( spl0_105
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1711,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_13) ).
fof(f3515,plain,
spl0_104,
inference(avatar_split_clause,[],[f1714,f3512]) ).
fof(f3512,plain,
( spl0_104
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1714,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_16) ).
fof(f3509,plain,
spl0_103,
inference(avatar_split_clause,[],[f241,f3506]) ).
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(f3504,plain,
spl0_102,
inference(avatar_split_clause,[],[f1713,f3501]) ).
fof(f3501,plain,
( spl0_102
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1713,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_15) ).
fof(f3499,plain,
spl0_101,
inference(avatar_split_clause,[],[f1811,f3496]) ).
fof(f3496,plain,
( spl0_101
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1811,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f3494,plain,
spl0_100,
inference(avatar_split_clause,[],[f527,f3491]) ).
fof(f3491,plain,
( spl0_100
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleD,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
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(f3488,plain,
spl0_99,
inference(avatar_split_clause,[],[f1796,f3485]) ).
fof(f3485,plain,
( spl0_99
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1796,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_28) ).
fof(f3483,plain,
spl0_98,
inference(avatar_split_clause,[],[f955,f3480]) ).
fof(f3480,plain,
( spl0_98
<=> c_Numeral_OMin = c_Numeral_OBit(c_Numeral_OMin,c_Numeral_Obit_OB1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
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(f3478,plain,
spl0_97,
inference(avatar_split_clause,[],[f1800,f3475]) ).
fof(f3475,plain,
( spl0_97
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1800,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_31) ).
fof(f3473,plain,
spl0_96,
inference(avatar_split_clause,[],[f1712,f3470]) ).
fof(f3470,plain,
( spl0_96
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
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(f3468,plain,
spl0_95,
inference(avatar_split_clause,[],[f1719,f3465]) ).
fof(f3465,plain,
( spl0_95
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
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(f3459,plain,
spl0_94,
inference(avatar_split_clause,[],[f1721,f3456]) ).
fof(f3456,plain,
( spl0_94
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
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(f3454,plain,
spl0_93,
inference(avatar_split_clause,[],[f533,f3451]) ).
fof(f3451,plain,
( spl0_93
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble3,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
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(f3448,plain,
spl0_92,
inference(avatar_split_clause,[],[f1759,f3445]) ).
fof(f3445,plain,
( spl0_92
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1759,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_57) ).
fof(f3442,plain,
spl0_91,
inference(avatar_split_clause,[],[f1014,f3439]) ).
fof(f3439,plain,
( spl0_91
<=> c_0 = c_Nat_Osize(c_Numeral_Obit_OB1,tc_Numeral_Obit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
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(f3436,plain,
spl0_90,
inference(avatar_split_clause,[],[f2791,f3433]) ).
fof(f2791,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(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(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(f3431,plain,
spl0_89,
inference(avatar_split_clause,[],[f1743,f3428]) ).
fof(f3428,plain,
( spl0_89
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
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(f3426,plain,
spl0_88,
inference(avatar_split_clause,[],[f1771,f3423]) ).
fof(f3423,plain,
( spl0_88
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f1771,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f3421,plain,
spl0_6,
inference(avatar_split_clause,[],[f3420,f2995]) ).
fof(f2995,plain,
( spl0_6
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3420,plain,
c_less(c_0,c_1,tc_nat),
inference(backward_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(f3419,plain,
spl0_87,
inference(avatar_split_clause,[],[f1726,f3416]) ).
fof(f3416,plain,
( spl0_87
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
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(f3413,plain,
spl0_86,
inference(avatar_split_clause,[],[f1790,f3410]) ).
fof(f3410,plain,
( spl0_86
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1790,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_22) ).
fof(f3408,plain,
spl0_85,
inference(avatar_split_clause,[],[f1797,f3405]) ).
fof(f3405,plain,
( spl0_85
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1797,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_29) ).
fof(f3403,plain,
spl0_84,
inference(avatar_split_clause,[],[f1788,f3400]) ).
fof(f3400,plain,
( spl0_84
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1788,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_20) ).
fof(f3398,plain,
spl0_83,
inference(avatar_split_clause,[],[f1792,f3395]) ).
fof(f3395,plain,
( spl0_83
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1792,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_24) ).
fof(f3393,plain,
spl0_82,
inference(avatar_split_clause,[],[f105,f3390]) ).
fof(f3390,plain,
( spl0_82
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_ORight,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
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(f3388,plain,
spl0_81,
inference(avatar_split_clause,[],[f2946,f3385]) ).
fof(f3385,plain,
( spl0_81
<=> c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2946,plain,
c_Numeral_OPls = c_Numeral_Obin__mult(c_Numeral_OMin,c_Numeral_OPls),
inference(definition_unfolding,[],[f976,f979]) ).
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(f3383,plain,
spl0_80,
inference(avatar_split_clause,[],[f1803,f3380]) ).
fof(f3380,plain,
( spl0_80
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1803,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f3378,plain,
spl0_79,
inference(avatar_split_clause,[],[f1747,f3375]) ).
fof(f3375,plain,
( spl0_79
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
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(f3373,plain,
spl0_78,
inference(avatar_split_clause,[],[f1724,f3370]) ).
fof(f3370,plain,
( spl0_78
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1724,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_25) ).
fof(f3368,plain,
spl0_77,
inference(avatar_split_clause,[],[f1736,f3365]) ).
fof(f3365,plain,
( spl0_77
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1736,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f3363,plain,
spl0_76,
inference(avatar_split_clause,[],[f1703,f3360]) ).
fof(f3360,plain,
( spl0_76
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1703,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f3357,plain,
( spl0_41
| spl0_4 ),
inference(avatar_split_clause,[],[f3356,f2988,f3177]) ).
fof(f3177,plain,
( spl0_41
<=> ! [X36] : ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f3356,plain,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(forward_subsumption_demodulation,[],[f693,f699]) ).
fof(f699,axiom,
! [X36] :
( c_0 = c_Numeral_Onumber__of(X36,tc_nat)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__number__of__0_2) ).
fof(f693,axiom,
! [X36,X77] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_6) ).
fof(f3355,plain,
spl0_75,
inference(avatar_split_clause,[],[f1734,f3352]) ).
fof(f3352,plain,
( spl0_75
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1734,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f3348,plain,
spl0_74,
inference(avatar_split_clause,[],[f1795,f3345]) ).
fof(f3345,plain,
( spl0_74
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1795,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_27) ).
fof(f3343,plain,
spl0_73,
inference(avatar_split_clause,[],[f1794,f3340]) ).
fof(f3340,plain,
( spl0_73
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1794,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_26) ).
fof(f3338,plain,
spl0_72,
inference(avatar_split_clause,[],[f1720,f3335]) ).
fof(f3335,plain,
( spl0_72
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1720,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_21) ).
fof(f3332,plain,
spl0_71,
inference(avatar_split_clause,[],[f34,f3329]) ).
fof(f3329,plain,
( spl0_71
<=> c_0 = c_Nat_Osize(c_Product__Type_OUnity,tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
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(f3327,plain,
spl0_70,
inference(avatar_split_clause,[],[f2737,f3324]) ).
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(f3322,plain,
spl0_69,
inference(avatar_split_clause,[],[f1754,f3319]) ).
fof(f3319,plain,
( spl0_69
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1754,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f3315,plain,
spl0_68,
inference(avatar_split_clause,[],[f1753,f3312]) ).
fof(f3312,plain,
( spl0_68
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1753,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f3310,plain,
spl0_67,
inference(avatar_split_clause,[],[f1766,f3307]) ).
fof(f3307,plain,
( spl0_67
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1766,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_63) ).
fof(f3305,plain,
spl0_66,
inference(avatar_split_clause,[],[f1807,f3302]) ).
fof(f3302,plain,
( spl0_66
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1807,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f3300,plain,
spl0_65,
inference(avatar_split_clause,[],[f1761,f3297]) ).
fof(f3297,plain,
( spl0_65
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1761,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_59) ).
fof(f3295,plain,
spl0_64,
inference(avatar_split_clause,[],[f1763,f3292]) ).
fof(f3292,plain,
( spl0_64
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1763,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_60) ).
fof(f3290,plain,
spl0_63,
inference(avatar_split_clause,[],[f2926,f3287]) ).
fof(f3287,plain,
( spl0_63
<=> c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2926,plain,
c_Divides_Oop_Advd(c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f78,f1394,f1394]) ).
fof(f78,axiom,
c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__iff__1_1) ).
fof(f3285,plain,
spl0_62,
inference(avatar_split_clause,[],[f2747,f3282]) ).
fof(f2747,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3280,plain,
spl0_61,
inference(avatar_split_clause,[],[f1815,f3277]) ).
fof(f3277,plain,
( spl0_61
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1815,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_45) ).
fof(f3275,plain,
spl0_60,
inference(avatar_split_clause,[],[f1780,f3272]) ).
fof(f3272,plain,
( spl0_60
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1780,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_13) ).
fof(f3270,plain,
spl0_59,
inference(avatar_split_clause,[],[f1805,f3267]) ).
fof(f3267,plain,
( spl0_59
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1805,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f3265,plain,
spl0_58,
inference(avatar_split_clause,[],[f1701,f3262]) ).
fof(f3262,plain,
( spl0_58
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
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(f3260,plain,
( ~ spl0_56
| spl0_57 ),
inference(avatar_split_clause,[],[f1348,f3258,f3254]) ).
fof(f1348,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_Oone__neq__zero_0) ).
fof(f3252,plain,
spl0_55,
inference(avatar_split_clause,[],[f200,f3249]) ).
fof(f3249,plain,
( spl0_55
<=> c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
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(f3247,plain,
spl0_54,
inference(avatar_split_clause,[],[f534,f3244]) ).
fof(f3244,plain,
( spl0_54
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble4,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
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(f3242,plain,
spl0_53,
inference(avatar_split_clause,[],[f528,f3239]) ).
fof(f3239,plain,
( spl0_53
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleE,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
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(f3237,plain,
spl0_52,
inference(avatar_split_clause,[],[f1801,f3234]) ).
fof(f3234,plain,
( spl0_52
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1801,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_32) ).
fof(f3232,plain,
spl0_51,
inference(avatar_split_clause,[],[f1804,f3229]) ).
fof(f3229,plain,
( spl0_51
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1804,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f3227,plain,
spl0_50,
inference(avatar_split_clause,[],[f1760,f3224]) ).
fof(f3224,plain,
( spl0_50
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1760,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f3222,plain,
spl0_49,
inference(avatar_split_clause,[],[f3217,f3219]) ).
fof(f3219,plain,
( spl0_49
<=> c_less(c_0,c_1,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f3217,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(f3216,plain,
spl0_48,
inference(avatar_split_clause,[],[f1755,f3213]) ).
fof(f3213,plain,
( spl0_48
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1755,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f3211,plain,
spl0_47,
inference(avatar_split_clause,[],[f1772,f3208]) ).
fof(f3208,plain,
( spl0_47
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1772,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f3205,plain,
spl0_46,
inference(avatar_split_clause,[],[f523,f3202]) ).
fof(f3202,plain,
( spl0_46
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble9,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
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(f3200,plain,
spl0_45,
inference(avatar_split_clause,[],[f1793,f3197]) ).
fof(f3197,plain,
( spl0_45
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1793,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_25) ).
fof(f3194,plain,
spl0_44,
inference(avatar_split_clause,[],[f1819,f3191]) ).
fof(f3191,plain,
( spl0_44
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1819,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f3189,plain,
spl0_43,
inference(avatar_split_clause,[],[f537,f3186]) ).
fof(f3186,plain,
( spl0_43
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble7,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
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(f3184,plain,
spl0_42,
inference(avatar_split_clause,[],[f1809,f3181]) ).
fof(f3181,plain,
( spl0_42
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1809,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f3179,plain,
( spl0_4
| spl0_41 ),
inference(avatar_split_clause,[],[f3175,f3177,f2988]) ).
fof(f3175,plain,
! [X36,X77] :
( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 = c_Numeral_Onumber__of(X77,tc_nat) ),
inference(forward_subsumption_demodulation,[],[f2970,f699]) ).
fof(f2970,plain,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat) ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f687,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_11) ).
fof(f3174,plain,
spl0_40,
inference(avatar_split_clause,[],[f2743,f3171]) ).
fof(f2743,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f3169,plain,
spl0_39,
inference(avatar_split_clause,[],[f1722,f3166]) ).
fof(f3166,plain,
( spl0_39
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1722,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_23) ).
fof(f3164,plain,
spl0_38,
inference(avatar_split_clause,[],[f1816,f3161]) ).
fof(f3161,plain,
( spl0_38
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1816,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_46) ).
fof(f3159,plain,
spl0_37,
inference(avatar_split_clause,[],[f1741,f3156]) ).
fof(f3156,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1741,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f3154,plain,
spl0_36,
inference(avatar_split_clause,[],[f524,f3151]) ).
fof(f3151,plain,
( spl0_36
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleA,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
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(f3148,plain,
spl0_16,
inference(avatar_split_clause,[],[f2885,f3045]) ).
fof(f2885,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(f3147,plain,
spl0_35,
inference(avatar_split_clause,[],[f1808,f3144]) ).
fof(f3144,plain,
( spl0_35
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1808,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f3142,plain,
spl0_34,
inference(avatar_split_clause,[],[f1786,f3139]) ).
fof(f3139,plain,
( spl0_34
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1786,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_19) ).
fof(f3137,plain,
spl0_33,
inference(avatar_split_clause,[],[f1715,f3134]) ).
fof(f3134,plain,
( spl0_33
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1715,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_17) ).
fof(f3131,plain,
spl0_32,
inference(avatar_split_clause,[],[f525,f3128]) ).
fof(f3128,plain,
( spl0_32
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleB,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
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(f3126,plain,
spl0_31,
inference(avatar_split_clause,[],[f2902,f3123]) ).
fof(f3123,plain,
( spl0_31
<=> c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2902,plain,
c_Numeral_OMin = c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_OMin),
inference(definition_unfolding,[],[f984,f963]) ).
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(f3121,plain,
spl0_30,
inference(avatar_split_clause,[],[f1006,f3118]) ).
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(f3116,plain,
spl0_29,
inference(avatar_split_clause,[],[f1378,f3113]) ).
fof(f3113,plain,
( spl0_29
<=> c_UNIV = c_SetInterval_OatLeast(c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
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(f3111,plain,
spl0_28,
inference(avatar_split_clause,[],[f1775,f3108]) ).
fof(f3108,plain,
( spl0_28
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1775,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_0) ).
fof(f3106,plain,
spl0_27,
inference(avatar_split_clause,[],[f1785,f3103]) ).
fof(f3103,plain,
( spl0_27
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1785,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_18) ).
fof(f3101,plain,
spl0_26,
inference(avatar_split_clause,[],[f1820,f3098]) ).
fof(f3098,plain,
( spl0_26
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1820,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f3096,plain,
spl0_25,
inference(avatar_split_clause,[],[f1731,f3093]) ).
fof(f3093,plain,
( spl0_25
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1731,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f3091,plain,
spl0_24,
inference(avatar_split_clause,[],[f532,f3088]) ).
fof(f3088,plain,
( spl0_24
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble2,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
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(f3086,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f1010,f2977]) ).
fof(f2977,plain,
( spl0_2
<=> c_Numeral_Obit_OB1 = c_Numeral_Obit_OB0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
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(f3085,plain,
spl0_23,
inference(avatar_split_clause,[],[f1799,f3082]) ).
fof(f3082,plain,
( spl0_23
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1799,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_30) ).
fof(f3078,plain,
spl0_22,
inference(avatar_split_clause,[],[f1748,f3075]) ).
fof(f3075,plain,
( spl0_22
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1748,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f3073,plain,
spl0_21,
inference(avatar_split_clause,[],[f1742,f3070]) ).
fof(f3070,plain,
( spl0_21
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
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(f3068,plain,
spl0_20,
inference(avatar_split_clause,[],[f1813,f3065]) ).
fof(f3065,plain,
( spl0_20
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1813,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f3063,plain,
spl0_19,
inference(avatar_split_clause,[],[f893,f3060]) ).
fof(f3060,plain,
( spl0_19
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f893,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq_1) ).
fof(f3058,plain,
spl0_18,
inference(avatar_split_clause,[],[f1708,f3055]) ).
fof(f3055,plain,
( spl0_18
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1708,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_10) ).
fof(f3053,plain,
spl0_17,
inference(avatar_split_clause,[],[f104,f3050]) ).
fof(f3050,plain,
( spl0_17
<=> c_0 = c_Nat_Osize(c_Extraction_Osumbool_OLeft,tc_Extraction_Osumbool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
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(f3048,plain,
spl0_16,
inference(avatar_split_clause,[],[f2812,f3045]) ).
fof(f2812,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(f3043,plain,
spl0_15,
inference(avatar_split_clause,[],[f236,f3040]) ).
fof(f3040,plain,
( spl0_15
<=> c_0 = c_IntDef_Onat(c_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f236,axiom,
c_0 = c_IntDef_Onat(c_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onat__zero_0) ).
fof(f3038,plain,
~ spl0_14,
inference(avatar_split_clause,[],[f101,f3035]) ).
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(f3033,plain,
spl0_13,
inference(avatar_split_clause,[],[f1717,f3030]) ).
fof(f3030,plain,
( spl0_13
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1717,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_19) ).
fof(f3028,plain,
spl0_12,
inference(avatar_split_clause,[],[f224,f3025]) ).
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(f3023,plain,
spl0_11,
inference(avatar_split_clause,[],[f956,f3020]) ).
fof(f3020,plain,
( spl0_11
<=> c_Numeral_OPls = c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
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(f3018,plain,
spl0_10,
inference(avatar_split_clause,[],[f1739,f3015]) ).
fof(f3015,plain,
( spl0_10
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
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(f3013,plain,
spl0_9,
inference(avatar_split_clause,[],[f221,f3010]) ).
fof(f3010,plain,
( spl0_9
<=> c_1 = c_IntDef_Oint(c_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f221,axiom,
c_1 = c_IntDef_Oint(c_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__1_0) ).
fof(f3008,plain,
spl0_8,
inference(avatar_split_clause,[],[f1725,f3005]) ).
fof(f3005,plain,
( spl0_8
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
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(f3003,plain,
spl0_7,
inference(avatar_split_clause,[],[f883,f3000]) ).
fof(f3000,plain,
( spl0_7
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f883,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0_2) ).
fof(f2998,plain,
spl0_6,
inference(avatar_split_clause,[],[f899,f2995]) ).
fof(f899,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one_1) ).
fof(f2993,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f2986,f2991,f2988]) ).
fof(f2991,plain,
( spl0_5
<=> ! [X36] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2986,plain,
! [X36,X77] :
( c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| c_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,[],[f691,f699]) ).
fof(f691,axiom,
! [X36,X77] :
( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X77,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_IntDef_Oneg(c_Numeral_Onumber__of(X36,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Numeral_Onumber__of(X36,tc_nat) = c_Numeral_Onumber__of(X77,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NatBin_Oeq__nat__number__of_4) ).
fof(f2985,plain,
spl0_3,
inference(avatar_split_clause,[],[f526,f2982]) ).
fof(f2982,plain,
( spl0_3
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibbleC,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
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(f2980,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f1009,f2977]) ).
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(f2975,plain,
spl0_1,
inference(avatar_split_clause,[],[f536,f2972]) ).
fof(f2972,plain,
( spl0_1
<=> c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f536,axiom,
c_0 = c_Nat_Osize(c_List_Onibble_ONibble6,tc_List_Onibble),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onibble_Osize__7_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT263-1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 01:09:13 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.53 % (12167)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.54 % (12166)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)
% 0.15/0.54 % (12168)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.54 % (12168)Instruction limit reached!
% 0.15/0.54 % (12168)------------------------------
% 0.15/0.54 % (12168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (12168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (12168)Termination reason: Unknown
% 0.15/0.54 % (12168)Termination phase: shuffling
% 0.15/0.54
% 0.15/0.54 % (12168)Memory used [KB]: 2942
% 0.15/0.54 % (12168)Time elapsed: 0.005 s
% 0.15/0.54 % (12168)Instructions burned: 2 (million)
% 0.15/0.54 % (12168)------------------------------
% 0.15/0.54 % (12168)------------------------------
% 0.15/0.54 % (12174)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)
% 0.15/0.55 % (12184)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.55 % (12182)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.55 % (12176)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.55 % (12183)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.55 % (12167)Instruction limit reached!
% 0.15/0.55 % (12167)------------------------------
% 0.15/0.55 % (12167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (12167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (12167)Termination reason: Unknown
% 0.15/0.55 % (12167)Termination phase: Function definition elimination
% 0.15/0.55
% 0.15/0.55 % (12167)Memory used [KB]: 3326
% 0.15/0.55 % (12167)Time elapsed: 0.010 s
% 0.15/0.55 % (12167)Instructions burned: 8 (million)
% 0.15/0.55 % (12167)------------------------------
% 0.15/0.55 % (12167)------------------------------
% 0.15/0.55 % (12175)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.56 % (12164)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.57 % (12163)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.58 % (12185)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.58 % (12172)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.58 % (12171)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.59 % (12165)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.60 % (12169)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.60 % (12162)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.61 % (12177)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.15/0.61 % (12181)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.61 % (12160)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.61 % (12188)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.64/0.61 % (12173)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.64/0.62 % (12187)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)
% 1.64/0.62 % (12179)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)
% 1.64/0.62 % (12189)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)
% 1.64/0.63 % (12166)Instruction limit reached!
% 1.64/0.63 % (12166)------------------------------
% 1.64/0.63 % (12166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.63 % (12166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.63 % (12166)Termination reason: Unknown
% 1.64/0.63 % (12166)Termination phase: Finite model building preprocessing
% 1.64/0.63
% 1.64/0.63 % (12166)Memory used [KB]: 4093
% 1.64/0.63 % (12166)Time elapsed: 0.037 s
% 1.64/0.63 % (12166)Instructions burned: 51 (million)
% 1.64/0.63 % (12166)------------------------------
% 1.64/0.63 % (12166)------------------------------
% 1.64/0.63 % (12180)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)
% 1.88/0.64 % (12161)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)
% 2.03/0.66 % (12186)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)
% 2.03/0.68 % (12174)Instruction limit reached!
% 2.03/0.68 % (12174)------------------------------
% 2.03/0.68 % (12174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.68 % (12174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.68 % (12174)Termination reason: Unknown
% 2.03/0.68 % (12174)Termination phase: Saturation
% 2.03/0.68
% 2.03/0.68 % (12174)Memory used [KB]: 10490
% 2.03/0.68 % (12174)Time elapsed: 0.058 s
% 2.03/0.68 % (12174)Instructions burned: 68 (million)
% 2.03/0.68 % (12174)------------------------------
% 2.03/0.68 % (12174)------------------------------
% 2.03/0.68 % (12164)Instruction limit reached!
% 2.03/0.68 % (12164)------------------------------
% 2.03/0.68 % (12164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.68 % (12164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.68 % (12164)Termination reason: Unknown
% 2.03/0.68 % (12164)Termination phase: Property scanning
% 2.03/0.68
% 2.03/0.68 % (12164)Memory used [KB]: 3326
% 2.03/0.68 % (12164)Time elapsed: 0.037 s
% 2.03/0.68 % (12164)Instructions burned: 52 (million)
% 2.03/0.68 % (12164)------------------------------
% 2.03/0.68 % (12164)------------------------------
% 2.03/0.69 % (12178)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.03/0.70 % (12163)Instruction limit reached!
% 2.03/0.70 % (12163)------------------------------
% 2.03/0.70 % (12163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.70 % (12163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.70 % (12163)Termination reason: Unknown
% 2.03/0.70 % (12163)Termination phase: Saturation
% 2.03/0.70
% 2.03/0.70 % (12163)Memory used [KB]: 8443
% 2.03/0.70 % (12163)Time elapsed: 0.039 s
% 2.03/0.70 % (12163)Instructions burned: 51 (million)
% 2.03/0.70 % (12163)------------------------------
% 2.03/0.70 % (12163)------------------------------
% 2.03/0.70 % (12170)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.03/0.71 % (12165)Instruction limit reached!
% 2.03/0.71 % (12165)------------------------------
% 2.03/0.71 % (12165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.71 % (12165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.71 % (12165)Termination reason: Unknown
% 2.03/0.71 % (12165)Termination phase: Saturation
% 2.03/0.71
% 2.03/0.71 % (12165)Memory used [KB]: 8059
% 2.03/0.71 % (12165)Time elapsed: 0.036 s
% 2.03/0.71 % (12165)Instructions burned: 48 (million)
% 2.03/0.71 % (12165)------------------------------
% 2.03/0.71 % (12165)------------------------------
% 2.03/0.72 % (12175)Instruction limit reached!
% 2.03/0.72 % (12175)------------------------------
% 2.03/0.72 % (12175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.72 % (12175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.72 % (12175)Termination reason: Unknown
% 2.03/0.72 % (12175)Termination phase: Saturation
% 2.03/0.72
% 2.03/0.72 % (12175)Memory used [KB]: 3965
% 2.03/0.72 % (12175)Time elapsed: 0.074 s
% 2.03/0.72 % (12175)Instructions burned: 75 (million)
% 2.03/0.72 % (12175)------------------------------
% 2.03/0.72 % (12175)------------------------------
% 2.59/0.72 % (12190)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)
% 2.59/0.73 % (12177)Instruction limit reached!
% 2.59/0.73 % (12177)------------------------------
% 2.59/0.73 % (12177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (12177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (12177)Termination reason: Unknown
% 2.59/0.73 % (12177)Termination phase: Property scanning
% 2.59/0.73
% 2.59/0.73 % (12177)Memory used [KB]: 4093
% 2.59/0.73 % (12177)Time elapsed: 0.042 s
% 2.59/0.73 % (12177)Instructions burned: 60 (million)
% 2.59/0.73 % (12177)------------------------------
% 2.59/0.73 % (12177)------------------------------
% 2.59/0.73 % (12162)Instruction limit reached!
% 2.59/0.73 % (12162)------------------------------
% 2.59/0.73 % (12162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (12162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (12162)Termination reason: Unknown
% 2.59/0.73 % (12162)Termination phase: Property scanning
% 2.59/0.73
% 2.59/0.73 % (12162)Memory used [KB]: 3454
% 2.59/0.73 % (12162)Time elapsed: 0.031 s
% 2.59/0.73 % (12162)Instructions burned: 37 (million)
% 2.59/0.73 % (12162)------------------------------
% 2.59/0.73 % (12162)------------------------------
% 2.59/0.73 % (12169)Instruction limit reached!
% 2.59/0.73 % (12169)------------------------------
% 2.59/0.73 % (12169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (12169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (12169)Termination reason: Unknown
% 2.59/0.73 % (12169)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (12169)Memory used [KB]: 4093
% 2.59/0.73 % (12169)Time elapsed: 0.038 s
% 2.59/0.73 % (12169)Instructions burned: 51 (million)
% 2.59/0.73 % (12169)------------------------------
% 2.59/0.73 % (12169)------------------------------
% 2.59/0.75 % (12161)Instruction limit reached!
% 2.59/0.75 % (12161)------------------------------
% 2.59/0.75 % (12161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.75 % (12161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.75 % (12161)Termination reason: Unknown
% 2.59/0.75 % (12161)Termination phase: Saturation
% 2.59/0.75
% 2.59/0.75 % (12161)Memory used [KB]: 8315
% 2.59/0.75 % (12161)Time elapsed: 0.041 s
% 2.59/0.75 % (12161)Instructions burned: 50 (million)
% 2.59/0.75 % (12161)------------------------------
% 2.59/0.75 % (12161)------------------------------
% 2.59/0.76 % (12176)Instruction limit reached!
% 2.59/0.76 % (12176)------------------------------
% 2.59/0.76 % (12176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.76 % (12176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.76 % (12176)Termination reason: Unknown
% 2.59/0.76 % (12176)Termination phase: Saturation
% 2.59/0.76
% 2.59/0.76 % (12176)Memory used [KB]: 8443
% 2.59/0.76 % (12176)Time elapsed: 0.314 s
% 2.59/0.76 % (12176)Instructions burned: 99 (million)
% 2.59/0.76 % (12176)------------------------------
% 2.59/0.76 % (12176)------------------------------
% 2.87/0.80 % (12191)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.87/0.83 % (12172)Instruction limit reached!
% 2.87/0.83 % (12172)------------------------------
% 2.87/0.83 % (12172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.83 % (12192)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)
% 2.87/0.83 % (12172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.83 % (12172)Termination reason: Unknown
% 2.87/0.83 % (12172)Termination phase: Saturation
% 2.87/0.83
% 2.87/0.83 % (12172)Memory used [KB]: 9083
% 2.87/0.83 % (12172)Time elapsed: 0.079 s
% 2.87/0.83 % (12172)Instructions burned: 101 (million)
% 2.87/0.83 % (12172)------------------------------
% 2.87/0.83 % (12172)------------------------------
% 3.30/0.85 % (12170)Instruction limit reached!
% 3.30/0.85 % (12170)------------------------------
% 3.30/0.85 % (12170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.85 % (12170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.85 % (12170)Termination reason: Unknown
% 3.30/0.85 % (12170)Termination phase: Saturation
% 3.30/0.85
% 3.30/0.85 % (12170)Memory used [KB]: 8315
% 3.30/0.85 % (12170)Time elapsed: 0.039 s
% 3.30/0.85 % (12170)Instructions burned: 51 (million)
% 3.30/0.85 % (12170)------------------------------
% 3.30/0.85 % (12170)------------------------------
% 3.30/0.85 % (12173)Instruction limit reached!
% 3.30/0.85 % (12173)------------------------------
% 3.30/0.85 % (12173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.85 % (12173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.85 % (12173)Termination reason: Unknown
% 3.30/0.85 % (12173)Termination phase: Saturation
% 3.30/0.85
% 3.30/0.85 % (12173)Memory used [KB]: 8955
% 3.30/0.85 % (12173)Time elapsed: 0.080 s
% 3.30/0.85 % (12173)Instructions burned: 100 (million)
% 3.30/0.85 % (12173)------------------------------
% 3.30/0.85 % (12173)------------------------------
% 3.30/0.85 % (12179)Instruction limit reached!
% 3.30/0.85 % (12179)------------------------------
% 3.30/0.85 % (12179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.85 % (12179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.85 % (12179)Termination reason: Unknown
% 3.30/0.85 % (12179)Termination phase: Saturation
% 3.30/0.85
% 3.30/0.85 % (12179)Memory used [KB]: 4349
% 3.30/0.85 % (12179)Time elapsed: 0.071 s
% 3.30/0.85 % (12179)Instructions burned: 100 (million)
% 3.30/0.85 % (12179)------------------------------
% 3.30/0.85 % (12179)------------------------------
% 3.30/0.86 % (12186)Instruction limit reached!
% 3.30/0.86 % (12186)------------------------------
% 3.30/0.86 % (12186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.86 % (12186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.86 % (12186)Termination reason: Unknown
% 3.30/0.86 % (12186)Termination phase: Saturation
% 3.30/0.86
% 3.30/0.86 % (12186)Memory used [KB]: 10490
% 3.30/0.86 % (12186)Time elapsed: 0.052 s
% 3.30/0.86 % (12186)Instructions burned: 68 (million)
% 3.30/0.86 % (12186)------------------------------
% 3.30/0.86 % (12186)------------------------------
% 3.30/0.86 % (12171)Instruction limit reached!
% 3.30/0.86 % (12171)------------------------------
% 3.30/0.86 % (12171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.30/0.87 % (12194)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.30/0.87 % (12171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.30/0.87 % (12171)Termination reason: Unknown
% 3.30/0.87 % (12171)Termination phase: Saturation
% 3.30/0.87
% 3.30/0.87 % (12171)Memory used [KB]: 9083
% 3.30/0.87 % (12171)Time elapsed: 0.423 s
% 3.30/0.87 % (12171)Instructions burned: 101 (million)
% 3.46/0.88 % (12171)------------------------------
% 3.46/0.88 % (12171)------------------------------
% 3.46/0.91 % (12198)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 (2995ds/940Mi)
% 3.46/0.92 % (12196)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.65/0.93 % (12195)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.65/0.94 % (12193)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.65/0.95 % (12181)Instruction limit reached!
% 3.65/0.95 % (12181)------------------------------
% 3.65/0.95 % (12181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.95 % (12181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.95 % (12181)Termination reason: Unknown
% 3.65/0.95 % (12181)Termination phase: Saturation
% 3.65/0.95
% 3.65/0.95 % (12181)Memory used [KB]: 9594
% 3.65/0.95 % (12181)Time elapsed: 0.116 s
% 3.65/0.95 % (12181)Instructions burned: 139 (million)
% 3.65/0.95 % (12181)------------------------------
% 3.65/0.95 % (12181)------------------------------
% 3.71/0.97 % (12200)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 (2995ds/90Mi)
% 3.71/0.97 % (12197)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.71/0.99 % (12180)Instruction limit reached!
% 3.71/0.99 % (12180)------------------------------
% 3.71/0.99 % (12180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/0.99 % (12180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/0.99 % (12180)Termination reason: Unknown
% 3.71/0.99 % (12180)Termination phase: Saturation
% 3.71/0.99
% 3.71/0.99 % (12180)Memory used [KB]: 9594
% 3.71/0.99 % (12180)Time elapsed: 0.152 s
% 3.71/0.99 % (12180)Instructions burned: 177 (million)
% 3.71/0.99 % (12180)------------------------------
% 3.71/0.99 % (12180)------------------------------
% 3.71/1.01 % (12178)Instruction limit reached!
% 3.71/1.01 % (12178)------------------------------
% 3.71/1.01 % (12178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/1.01 % (12178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/1.01 % (12178)Termination reason: Unknown
% 3.71/1.01 % (12178)Termination phase: Saturation
% 3.71/1.01
% 3.71/1.01 % (12178)Memory used [KB]: 9338
% 3.71/1.01 % (12178)Time elapsed: 0.084 s
% 3.71/1.01 % (12178)Instructions burned: 101 (million)
% 3.71/1.01 % (12178)------------------------------
% 3.71/1.01 % (12178)------------------------------
% 3.71/1.01 % (12202)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.71/1.01 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.71/1.01 % (12199)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 (2995ds/981Mi)
% 3.94/1.03 % (12187)Instruction limit reached!
% 3.94/1.03 % (12187)------------------------------
% 3.94/1.03 % (12187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.03 % (12192)Instruction limit reached!
% 3.94/1.03 % (12192)------------------------------
% 3.94/1.03 % (12192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.94/1.03 % (12192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.03 % (12192)Termination reason: Unknown
% 3.94/1.03 % (12192)Termination phase: Saturation
% 3.94/1.03
% 3.94/1.03 % (12192)Memory used [KB]: 8443
% 3.94/1.03 % (12192)Time elapsed: 0.284 s
% 3.94/1.03 % (12192)Instructions burned: 90 (million)
% 3.94/1.03 % (12192)------------------------------
% 3.94/1.03 % (12192)------------------------------
% 3.94/1.03 % (12187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.94/1.03 % (12187)Termination reason: Unknown
% 3.94/1.03 % (12187)Termination phase: Saturation
% 3.94/1.03
% 3.94/1.03 % (12187)Memory used [KB]: 5373
% 3.94/1.03 % (12187)Time elapsed: 0.579 s
% 3.94/1.03 % (12187)Instructions burned: 177 (million)
% 3.94/1.03 % (12187)------------------------------
% 3.94/1.03 % (12187)------------------------------
% 3.94/1.03 % (12201)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 (2995ds/2016Mi)
% 3.94/1.03 % (12203)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 (2994ds/4958Mi)
% 3.94/1.05 % (12208)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 (2994ds/1824Mi)
% 3.94/1.06 % (12204)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4959Mi)
% 4.16/1.07 % (12207)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 (2994ds/68Mi)
% 4.16/1.07 % (12205)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4756Mi)
% 4.16/1.08 % (12206)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 (2994ds/4931Mi)
% 4.16/1.15 % (12197)Instruction limit reached!
% 4.16/1.15 % (12197)------------------------------
% 4.16/1.15 % (12197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.16/1.15 % (12197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.16/1.15 % (12197)Termination reason: Unknown
% 4.16/1.15 % (12197)Termination phase: Saturation
% 4.16/1.15
% 4.16/1.15 % (12197)Memory used [KB]: 10490
% 4.16/1.15 % (12197)Time elapsed: 0.050 s
% 4.16/1.15 % (12197)Instructions burned: 68 (million)
% 4.16/1.15 % (12197)------------------------------
% 4.16/1.15 % (12197)------------------------------
% 6.00/1.17 % (12200)Instruction limit reached!
% 6.00/1.17 % (12200)------------------------------
% 6.00/1.17 % (12200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.19 % (12200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.19 % (12200)Termination reason: Unknown
% 6.00/1.19 % (12200)Termination phase: Saturation
% 6.00/1.19
% 6.00/1.19 % (12200)Memory used [KB]: 8443
% 6.00/1.19 % (12200)Time elapsed: 0.376 s
% 6.00/1.19 % (12200)Instructions burned: 90 (million)
% 6.00/1.19 % (12200)------------------------------
% 6.00/1.19 % (12200)------------------------------
% 6.28/1.22 % (12209)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 (2993ds/2134Mi)
% 6.28/1.23 % (12213)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 (2992ds/2016Mi)
% 6.28/1.24 % (12207)Instruction limit reached!
% 6.28/1.24 % (12207)------------------------------
% 6.28/1.24 % (12207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.28/1.24 % (12207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.28/1.24 % (12207)Termination reason: Unknown
% 6.28/1.24 % (12207)Termination phase: Saturation
% 6.28/1.24
% 6.28/1.24 % (12207)Memory used [KB]: 10490
% 6.28/1.24 % (12207)Time elapsed: 0.050 s
% 6.28/1.24 % (12207)Instructions burned: 68 (million)
% 6.28/1.24 % (12207)------------------------------
% 6.28/1.24 % (12207)------------------------------
% 6.28/1.24 % (12210)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2891Mi)
% 6.70/1.25 % (12211)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/4585Mi)
% 6.70/1.28 % (12212)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 (2992ds/90Mi)
% 7.11/1.33 % (12191)Instruction limit reached!
% 7.11/1.33 % (12191)------------------------------
% 7.11/1.33 % (12191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.40/1.35 % (12191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.40/1.35 % (12191)Termination reason: Unknown
% 7.40/1.35 % (12191)Termination phase: Saturation
% 7.40/1.35
% 7.40/1.35 % (12191)Memory used [KB]: 5884
% 7.40/1.35 % (12191)Time elapsed: 0.694 s
% 7.40/1.35 % (12191)Instructions burned: 211 (million)
% 7.40/1.35 % (12191)------------------------------
% 7.40/1.35 % (12191)------------------------------
% 7.40/1.40 % (12214)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/8004Mi)
% 7.40/1.44 % (12189)Instruction limit reached!
% 7.40/1.44 % (12189)------------------------------
% 7.40/1.44 % (12189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.40/1.44 % (12189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.40/1.44 % (12189)Termination reason: Unknown
% 7.40/1.44 % (12189)Termination phase: Saturation
% 7.40/1.44
% 7.40/1.44 % (12189)Memory used [KB]: 11385
% 7.40/1.44 % (12189)Time elapsed: 0.971 s
% 7.40/1.44 % (12189)Instructions burned: 356 (million)
% 7.40/1.44 % (12189)------------------------------
% 7.40/1.44 % (12189)------------------------------
% 7.40/1.44 % (12215)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 (2991ds/9965Mi)
% 8.10/1.49 % (12212)Instruction limit reached!
% 8.10/1.49 % (12212)------------------------------
% 8.10/1.49 % (12212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.10/1.49 % (12212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.10/1.49 % (12212)Termination reason: Unknown
% 8.10/1.49 % (12212)Termination phase: Saturation
% 8.10/1.49
% 8.10/1.49 % (12212)Memory used [KB]: 8443
% 8.10/1.49 % (12212)Time elapsed: 0.361 s
% 8.10/1.49 % (12212)Instructions burned: 90 (million)
% 8.10/1.49 % (12212)------------------------------
% 8.10/1.49 % (12212)------------------------------
% 8.35/1.53 % (12216)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9877Mi)
% 8.82/1.57 % (12217)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 (2989ds/9902Mi)
% 10.01/1.69 % (12188)Instruction limit reached!
% 10.01/1.69 % (12188)------------------------------
% 10.01/1.69 % (12188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/1.69 % (12188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/1.69 % (12188)Termination reason: Unknown
% 10.01/1.69 % (12188)Termination phase: Saturation
% 10.01/1.69
% 10.01/1.69 % (12188)Memory used [KB]: 15351
% 10.01/1.69 % (12188)Time elapsed: 1.225 s
% 10.01/1.69 % (12188)Instructions burned: 440 (million)
% 10.01/1.69 % (12188)------------------------------
% 10.01/1.69 % (12188)------------------------------
% 10.01/1.70 % (12182)Instruction limit reached!
% 10.01/1.70 % (12182)------------------------------
% 10.01/1.70 % (12182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/1.70 % (12219)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/9989Mi)
% 10.01/1.71 % (12183)Instruction limit reached!
% 10.01/1.71 % (12183)------------------------------
% 10.01/1.71 % (12183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/1.71 % (12183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/1.71 % (12183)Termination reason: Unknown
% 10.01/1.71 % (12183)Termination phase: Saturation
% 10.01/1.71
% 10.01/1.71 % (12183)Memory used [KB]: 12153
% 10.01/1.71 % (12183)Time elapsed: 1.247 s
% 10.01/1.71 % (12183)Instructions burned: 467 (million)
% 10.01/1.71 % (12183)------------------------------
% 10.01/1.71 % (12183)------------------------------
% 10.01/1.72 % (12182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/1.72 % (12182)Termination reason: Unknown
% 10.01/1.72 % (12182)Termination phase: Saturation
% 10.01/1.72
% 10.01/1.72 % (12182)Memory used [KB]: 6780
% 10.01/1.72 % (12182)Time elapsed: 1.258 s
% 10.01/1.72 % (12182)Instructions burned: 499 (million)
% 10.01/1.72 % (12182)------------------------------
% 10.01/1.72 % (12182)------------------------------
% 10.01/1.74 % (12190)Instruction limit reached!
% 10.01/1.74 % (12190)------------------------------
% 10.01/1.74 % (12190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.01/1.74 % (12190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.01/1.74 % (12190)Termination reason: Unknown
% 10.01/1.74 % (12190)Termination phase: Saturation
% 10.01/1.74
% 10.01/1.74 % (12190)Memory used [KB]: 11129
% 10.01/1.74 % (12190)Time elapsed: 1.116 s
% 10.01/1.74 % (12190)Instructions burned: 389 (million)
% 10.01/1.74 % (12190)------------------------------
% 10.01/1.74 % (12190)------------------------------
% 10.79/1.80 % (12218)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 (2988ds/1824Mi)
% 11.39/1.86 % (12184)Instruction limit reached!
% 11.39/1.86 % (12184)------------------------------
% 11.39/1.86 % (12184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.39/1.86 % (12184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.39/1.86 % (12184)Termination reason: Unknown
% 11.39/1.86 % (12184)Termination phase: Saturation
% 11.39/1.86
% 11.39/1.86 % (12184)Memory used [KB]: 14072
% 11.39/1.86 % (12184)Time elapsed: 1.202 s
% 11.39/1.86 % (12184)Instructions burned: 482 (million)
% 11.39/1.86 % (12184)------------------------------
% 11.39/1.86 % (12184)------------------------------
% 11.39/1.87 % (12185)Instruction limit reached!
% 11.39/1.87 % (12185)------------------------------
% 11.39/1.87 % (12185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.39/1.87 % (12185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.39/1.87 % (12185)Termination reason: Unknown
% 11.39/1.87 % (12185)Termination phase: Saturation
% 11.39/1.87
% 11.39/1.87 % (12185)Memory used [KB]: 12792
% 11.39/1.87 % (12185)Time elapsed: 1.391 s
% 11.39/1.87 % (12185)Instructions burned: 500 (million)
% 11.39/1.87 % (12185)------------------------------
% 11.39/1.87 % (12185)------------------------------
% 11.39/1.91 % (12220)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/9707Mi)
% 11.97/1.93 % (12208)First to succeed.
% 11.97/1.96 % (12203)Also succeeded, but the first one will report.
% 11.97/1.96 % (12208)Refutation found. Thanks to Tanya!
% 11.97/1.96 % SZS status Unsatisfiable for theBenchmark
% 11.97/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 11.97/1.96 % (12208)------------------------------
% 11.97/1.96 % (12208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.97/1.96 % (12208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.97/1.96 % (12208)Termination reason: Refutation
% 11.97/1.96
% 11.97/1.96 % (12208)Memory used [KB]: 6780
% 11.97/1.96 % (12208)Time elapsed: 0.939 s
% 11.97/1.96 % (12208)Instructions burned: 446 (million)
% 11.97/1.96 % (12208)------------------------------
% 11.97/1.96 % (12208)------------------------------
% 11.97/1.96 % (12159)Success in time 1.642 s
%------------------------------------------------------------------------------