TSTP Solution File: DAT038_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT038_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n027.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 16:04:42 EDT 2022
% Result : Theorem 10.48s 1.70s
% Output : Refutation 10.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 81
% Syntax : Number of formulae : 541 ( 21 unt; 8 typ; 0 def)
% Number of atoms : 1609 ( 561 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1968 ( 892 ~; 952 |; 42 &)
% ( 77 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 1258 ( 0 atm; 144 fun; 790 num; 324 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 65 ( 63 usr; 63 prp; 0-2 aty)
% Number of functors : 15 ( 6 usr; 9 con; 0-2 aty)
% Number of variables : 446 ( 443 !; 3 ?; 446 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_12,type,
sK0: collection ).
tff(func_def_23,type,
'$inst2': $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f4053,plain,
$false,
inference(avatar_smt_refutation,[],[f96,f101,f106,f111,f116,f136,f142,f148,f161,f166,f171,f196,f218,f249,f256,f263,f414,f484,f489,f496,f497,f874,f896,f912,f916,f917,f923,f945,f960,f961,f966,f972,f1552,f2692,f2704,f3102,f3103,f3110,f3117,f3121,f3128,f3129,f3133,f3137,f3138,f3139,f3140,f3144,f3145,f3146,f3147,f3151,f3155,f3156,f3157,f3158,f3159,f3160,f3161,f3162,f3163,f3164,f3165,f3166,f3167,f3168,f3169,f3170,f3171,f3172,f3173,f3174,f3175,f3176,f3177,f3178,f3179,f3556,f3557,f3558,f3655,f3661,f3674,f3677,f3786,f3795,f3811,f3827,f3835,f3849,f3854,f3865,f3872,f3928,f3960,f3998,f4017,f4023,f4026,f4035,f4050]) ).
tff(f4050,plain,
( ~ spl1_4
| ~ spl1_55 ),
inference(avatar_contradiction_clause,[],[f4049]) ).
tff(f4049,plain,
( $false
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f4048]) ).
tff(f4048,plain,
( ( 0 = 1 )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f4047,f110]) ).
tff(f110,plain,
( ( 0 = count(empty) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f108]) ).
tff(f108,plain,
( spl1_4
<=> ( 0 = count(empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f4047,plain,
( ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3988,f234]) ).
tff(f234,plain,
( ! [X4: $int] : ( 1 = count(add(X4,empty)) )
| ~ spl1_4 ),
inference(evaluation,[],[f233]) ).
tff(f233,plain,
( ! [X4: $int] : ( $sum(0,1) = count(add(X4,empty)) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f229,f110]) ).
tff(f229,plain,
! [X4: $int] : ( $sum(count(empty),1) = count(add(X4,empty)) ),
inference(resolution,[],[f63,f75]) ).
tff(f75,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f63,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,plain,
! [X0: $int,X1: collection] :
( ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) )
& ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) ) ),
inference(rectify,[],[f43]) ).
tff(f43,plain,
! [X1: $int,X0: collection] :
( ( ( $sum(count(X0),1) = count(add(X1,X0)) )
| in(X1,X0) )
& ( ~ in(X1,X0)
| ( $sum(count(X0),1) != count(add(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X1: $int,X0: collection] :
( ( $sum(count(X0),1) = count(add(X1,X0)) )
<=> ~ in(X1,X0) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X14: collection,X13: $int] :
( ( count(add(X13,X14)) = $sum(count(X14),1) )
<=> ~ in(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f3988,plain,
( ( count(empty) = count(add(3,empty)) )
| ~ spl1_55 ),
inference(evaluation,[],[f3962]) ).
tff(f3962,plain,
( ( 3 = 5 )
| ( count(empty) = count(add(3,empty)) )
| ~ spl1_55 ),
inference(superposition,[],[f651,f3853]) ).
tff(f3853,plain,
( ( empty = remove(5,add(3,empty)) )
| ~ spl1_55 ),
inference(avatar_component_clause,[],[f3851]) ).
tff(f3851,plain,
( spl1_55
<=> ( empty = remove(5,add(3,empty)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_55])]) ).
tff(f651,plain,
! [X18: $int,X19: $int,X20: collection] :
( ( count(remove(X19,add(X18,X20))) = count(add(X18,remove(X19,add(X18,X20)))) )
| ( X18 = X19 ) ),
inference(resolution,[],[f204,f87]) ).
tff(f87,plain,
! [X2: collection,X1: $int] : in(X1,add(X1,X2)),
inference(equality_resolution,[],[f64]) ).
tff(f64,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X1,add(X0,X2))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X1,X2)
| ( X0 = X1 )
| ~ in(X1,add(X0,X2)) )
& ( in(X1,add(X0,X2))
| ( ~ in(X1,X2)
& ( X0 != X1 ) ) ) ),
inference(rectify,[],[f46]) ).
tff(f46,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) ) ),
inference(flattening,[],[f45]) ).
tff(f45,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X2: $int,X0: $int,X1: collection] :
( ( in(X0,X1)
| ( X0 = X2 ) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f204,plain,
! [X10: collection,X8: $int,X9: $int] :
( ~ in(X9,X10)
| ( count(add(X9,remove(X8,X10))) = count(remove(X8,X10)) )
| ( X8 = X9 ) ),
inference(resolution,[],[f78,f67]) ).
tff(f67,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(X0) = count(add(X1,X0)) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( count(X0) != count(add(X1,X0)) ) )
& ( ( count(X0) = count(add(X1,X0)) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X1: collection,X0: $int] :
( ( in(X0,X1)
| ( count(add(X0,X1)) != count(X1) ) )
& ( ( count(add(X0,X1)) = count(X1) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f39,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( count(add(X0,X1)) = count(X1) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X15: $int,X16: collection] :
( in(X15,X16)
<=> ( count(add(X15,X16)) = count(X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f78,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X1,remove(X0,X2))
| ( X0 = X1 )
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X1,remove(X0,X2))
| ~ in(X1,X2)
| ( X0 = X1 ) )
& ( ( in(X1,X2)
& ( X0 != X1 ) )
| ~ in(X1,remove(X0,X2)) ) ),
inference(rectify,[],[f54]) ).
tff(f54,plain,
! [X1: $int,X0: $int,X2: collection] :
( ( in(X0,remove(X1,X2))
| ~ in(X0,X2)
| ( X0 = X1 ) )
& ( ( in(X0,X2)
& ( X0 != X1 ) )
| ~ in(X0,remove(X1,X2)) ) ),
inference(flattening,[],[f53]) ).
tff(f53,plain,
! [X1: $int,X0: $int,X2: collection] :
( ( in(X0,remove(X1,X2))
| ~ in(X0,X2)
| ( X0 = X1 ) )
& ( ( in(X0,X2)
& ( X0 != X1 ) )
| ~ in(X0,remove(X1,X2)) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X1: $int,X0: $int,X2: collection] :
( in(X0,remove(X1,X2))
<=> ( in(X0,X2)
& ( X0 != X1 ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X10: $int,X9: collection] :
( ( ( X8 != X10 )
& in(X8,X9) )
<=> in(X8,remove(X10,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f4035,plain,
( spl1_62
| ~ spl1_4
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f4030,f3851,f108,f4032]) ).
tff(f4032,plain,
( spl1_62
<=> ( 1 = count(add(5,add(3,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_62])]) ).
tff(f4030,plain,
( ( 1 = count(add(5,add(3,empty))) )
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f4029]) ).
tff(f4029,plain,
( ( 1 = count(add(5,add(3,empty))) )
| ( 0 = 1 )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f4028,f110]) ).
tff(f4028,plain,
( ( 1 = count(empty) )
| ( 1 = count(add(5,add(3,empty))) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f4027,f234]) ).
tff(f4027,plain,
( ( count(empty) = count(add(3,empty)) )
| ( 1 = count(add(5,add(3,empty))) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3972,f234]) ).
tff(f3972,plain,
( ( count(add(5,add(3,empty))) = count(add(3,empty)) )
| ( count(empty) = count(add(3,empty)) )
| ~ spl1_55 ),
inference(superposition,[],[f182,f3853]) ).
tff(f182,plain,
! [X8: $int,X9: collection] :
( ( count(X9) = count(remove(X8,X9)) )
| ( count(X9) = count(add(X8,X9)) ) ),
inference(resolution,[],[f85,f67]) ).
tff(f85,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
| ( count(remove(X0,X1)) = count(X1) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: $int,X1: collection] :
( ( ~ in(X0,X1)
| ( count(remove(X0,X1)) != count(X1) ) )
& ( ( count(remove(X0,X1)) = count(X1) )
| in(X0,X1) ) ),
inference(rectify,[],[f60]) ).
tff(f60,plain,
! [X1: $int,X0: collection] :
( ( ~ in(X1,X0)
| ( count(X0) != count(remove(X1,X0)) ) )
& ( ( count(X0) = count(remove(X1,X0)) )
| in(X1,X0) ) ),
inference(nnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X1: $int,X0: collection] :
( ~ in(X1,X0)
<=> ( count(X0) = count(remove(X1,X0)) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X20: collection,X19: $int] :
( ( count(remove(X19,X20)) = count(X20) )
<=> ~ in(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
tff(f4026,plain,
( spl1_23
| ~ spl1_4
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f4025,f3851,f108,f890]) ).
tff(f890,plain,
( spl1_23
<=> ( empty = add(3,empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
tff(f4025,plain,
( ( empty = add(3,empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3989,f317]) ).
tff(f317,plain,
( ! [X3: $int] : ( empty = remove(X3,empty) )
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f315]) ).
tff(f315,plain,
( ! [X3: $int] :
( ( empty = remove(X3,empty) )
| ( 0 != 0 ) )
| ~ spl1_4 ),
inference(superposition,[],[f74,f183]) ).
tff(f183,plain,
( ! [X0: $int] : ( 0 = count(remove(X0,empty)) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f178,f110]) ).
tff(f178,plain,
! [X0: $int] : ( count(remove(X0,empty)) = count(empty) ),
inference(resolution,[],[f85,f75]) ).
tff(f74,plain,
! [X0: collection] :
( ( 0 != count(X0) )
| ( empty = X0 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: collection] :
( ( ( empty = X0 )
| ( 0 != count(X0) ) )
& ( ( 0 = count(X0) )
| ( empty != X0 ) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X0: collection] :
( ( empty = X0 )
<=> ( 0 = count(X0) ) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X12: collection] :
( ( empty = X12 )
<=> ( 0 = count(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f3989,plain,
( ( empty = add(3,remove(3,empty)) )
| ~ spl1_55 ),
inference(evaluation,[],[f3963]) ).
tff(f3963,plain,
( ( 3 = 5 )
| ( empty = add(3,remove(3,empty)) )
| ~ spl1_55 ),
inference(superposition,[],[f631,f3853]) ).
tff(f631,plain,
! [X18: $int,X19: $int,X20: collection] :
( ( add(X19,remove(X19,remove(X18,add(X19,X20)))) = remove(X18,add(X19,X20)) )
| ( X18 = X19 ) ),
inference(resolution,[],[f203,f87]) ).
tff(f203,plain,
! [X6: $int,X7: collection,X5: $int] :
( ~ in(X6,X7)
| ( X5 = X6 )
| ( remove(X5,X7) = add(X6,remove(X6,remove(X5,X7))) ) ),
inference(resolution,[],[f78,f83]) ).
tff(f83,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( add(X1,remove(X1,X0)) = X0 ) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( add(X1,remove(X1,X0)) = X0 ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
! [X1: collection,X0: $int] :
( ~ in(X0,X1)
| ( add(X0,remove(X0,X1)) = X1 ) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection] :
( in(X0,X1)
=> ( add(X0,remove(X0,X1)) = X1 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X21: $int,X22: collection] :
( in(X21,X22)
=> ( add(X21,remove(X21,X22)) = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
tff(f4023,plain,
( ~ spl1_4
| ~ spl1_55 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
tff(f4022,plain,
( $false
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f4021]) ).
tff(f4021,plain,
( ( 0 = 1 )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3990,f110]) ).
tff(f3990,plain,
( ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f3961]) ).
tff(f3961,plain,
( ( 1 = count(empty) )
| ( 3 = 5 )
| ~ spl1_4
| ~ spl1_55 ),
inference(superposition,[],[f625,f3853]) ).
tff(f625,plain,
( ! [X21: $int,X22: $int] :
( ( 1 = count(remove(X22,add(X21,empty))) )
| ( X21 = X22 ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f621,f234]) ).
tff(f621,plain,
! [X21: $int,X22: $int] :
( ( count(add(X21,empty)) = count(remove(X22,add(X21,empty))) )
| ( X21 = X22 ) ),
inference(resolution,[],[f199,f75]) ).
tff(f199,plain,
! [X6: $int,X7: collection,X5: $int] :
( in(X6,X7)
| ( X5 = X6 )
| ( count(add(X5,X7)) = count(remove(X6,add(X5,X7))) ) ),
inference(resolution,[],[f66,f85]) ).
tff(f66,plain,
! [X2: collection,X0: $int,X1: $int] :
( ~ in(X1,add(X0,X2))
| ( X0 = X1 )
| in(X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f4017,plain,
( spl1_61
| ~ spl1_4
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f4012,f3851,f108,f4014]) ).
tff(f4014,plain,
( spl1_61
<=> in(5,add(3,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
tff(f4012,plain,
( in(5,add(3,empty))
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f4011]) ).
tff(f4011,plain,
( ( 0 != $sum(1,-1) )
| in(5,add(3,empty))
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f4010,f234]) ).
tff(f4010,plain,
( ( 0 != $sum(count(add(3,empty)),-1) )
| in(5,add(3,empty))
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3969,f110]) ).
tff(f3969,plain,
( ( $sum(count(add(3,empty)),-1) != count(empty) )
| in(5,add(3,empty))
| ~ spl1_55 ),
inference(superposition,[],[f91,f3853]) ).
tff(f91,plain,
! [X0: collection,X1: $int] :
( ( $sum(count(X0),-1) != count(remove(X1,X0)) )
| in(X1,X0) ),
inference(evaluation,[],[f71]) ).
tff(f71,plain,
! [X0: collection,X1: $int] :
( in(X1,X0)
| ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: collection,X1: $int] :
( ( in(X1,X0)
| ( count(remove(X1,X0)) != $sum(count(X0),$uminus(1)) ) )
& ( ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) )
| ~ in(X1,X0) ) ),
inference(rectify,[],[f50]) ).
tff(f50,plain,
! [X1: collection,X0: $int] :
( ( in(X0,X1)
| ( count(remove(X0,X1)) != $sum(count(X1),$uminus(1)) ) )
& ( ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X1: collection,X0: $int] :
( in(X0,X1)
<=> ( count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $sum(count(X18),$uminus(1)) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X17: $int,X18: collection] :
( in(X17,X18)
<=> ( count(remove(X17,X18)) = $difference(count(X18),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f3998,plain,
( spl1_60
| ~ spl1_4
| ~ spl1_55 ),
inference(avatar_split_clause,[],[f3993,f3851,f108,f3995]) ).
tff(f3995,plain,
( spl1_60
<=> ( add(3,empty) = add(5,empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_60])]) ).
tff(f3993,plain,
( ( add(3,empty) = add(5,empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(evaluation,[],[f3992]) ).
tff(f3992,plain,
( ( 0 = 1 )
| ( add(3,empty) = add(5,empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3991,f110]) ).
tff(f3991,plain,
( ( add(3,empty) = add(5,empty) )
| ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_55 ),
inference(forward_demodulation,[],[f3971,f234]) ).
tff(f3971,plain,
( ( count(empty) = count(add(3,empty)) )
| ( add(3,empty) = add(5,empty) )
| ~ spl1_55 ),
inference(superposition,[],[f181,f3853]) ).
tff(f181,plain,
! [X6: $int,X7: collection] :
( ( add(X6,remove(X6,X7)) = X7 )
| ( count(X7) = count(remove(X6,X7)) ) ),
inference(resolution,[],[f85,f83]) ).
tff(f3960,plain,
( spl1_59
| ~ spl1_4
| spl1_58 ),
inference(avatar_split_clause,[],[f3955,f3925,f108,f3957]) ).
tff(f3957,plain,
( spl1_59
<=> ( 1 = count(remove(2,add(3,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_59])]) ).
tff(f3925,plain,
( spl1_58
<=> in(2,add(3,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_58])]) ).
tff(f3955,plain,
( ( 1 = count(remove(2,add(3,empty))) )
| ~ spl1_4
| spl1_58 ),
inference(forward_demodulation,[],[f3945,f234]) ).
tff(f3945,plain,
( ( count(remove(2,add(3,empty))) = count(add(3,empty)) )
| spl1_58 ),
inference(resolution,[],[f3927,f85]) ).
tff(f3927,plain,
( ~ in(2,add(3,empty))
| spl1_58 ),
inference(avatar_component_clause,[],[f3925]) ).
tff(f3928,plain,
( ~ spl1_58
| ~ spl1_4
| ~ spl1_5
| ~ spl1_54 ),
inference(avatar_split_clause,[],[f3923,f3846,f113,f108,f3925]) ).
tff(f113,plain,
( spl1_5
<=> ( 2 = count(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f3846,plain,
( spl1_54
<=> ( add(2,add(3,empty)) = sK0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_54])]) ).
tff(f3923,plain,
( ~ in(2,add(3,empty))
| ~ spl1_4
| ~ spl1_5
| ~ spl1_54 ),
inference(evaluation,[],[f3922]) ).
tff(f3922,plain,
( ~ in(2,add(3,empty))
| ( 2 != $sum(1,1) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_54 ),
inference(forward_demodulation,[],[f3921,f234]) ).
tff(f3921,plain,
( ~ in(2,add(3,empty))
| ( 2 != $sum(count(add(3,empty)),1) )
| ~ spl1_5
| ~ spl1_54 ),
inference(forward_demodulation,[],[f3880,f115]) ).
tff(f115,plain,
( ( 2 = count(sK0) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f113]) ).
tff(f3880,plain,
( ( $sum(count(add(3,empty)),1) != count(sK0) )
| ~ in(2,add(3,empty))
| ~ spl1_54 ),
inference(superposition,[],[f62,f3848]) ).
tff(f3848,plain,
( ( add(2,add(3,empty)) = sK0 )
| ~ spl1_54 ),
inference(avatar_component_clause,[],[f3846]) ).
tff(f62,plain,
! [X0: $int,X1: collection] :
( ( count(add(X0,X1)) != $sum(count(X1),1) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tff(f3872,plain,
( spl1_57
| ~ spl1_50
| ~ spl1_51 ),
inference(avatar_split_clause,[],[f3867,f3792,f3783,f3869]) ).
tff(f3869,plain,
( spl1_57
<=> ( 1 = count(add(3,add(3,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_57])]) ).
tff(f3783,plain,
( spl1_50
<=> ( add(3,empty) = remove(2,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_50])]) ).
tff(f3792,plain,
( spl1_51
<=> ( 1 = count(add(3,remove(2,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_51])]) ).
tff(f3867,plain,
( ( 1 = count(add(3,add(3,empty))) )
| ~ spl1_50
| ~ spl1_51 ),
inference(forward_demodulation,[],[f3794,f3785]) ).
tff(f3785,plain,
( ( add(3,empty) = remove(2,sK0) )
| ~ spl1_50 ),
inference(avatar_component_clause,[],[f3783]) ).
tff(f3794,plain,
( ( 1 = count(add(3,remove(2,sK0))) )
| ~ spl1_51 ),
inference(avatar_component_clause,[],[f3792]) ).
tff(f3865,plain,
( ~ spl1_56
| ~ spl1_50
| spl1_52 ),
inference(avatar_split_clause,[],[f3860,f3808,f3783,f3862]) ).
tff(f3862,plain,
( spl1_56
<=> ( 2 = count(add(3,add(3,empty))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_56])]) ).
tff(f3808,plain,
( spl1_52
<=> ( 2 = count(add(3,remove(2,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_52])]) ).
tff(f3860,plain,
( ( 2 != count(add(3,add(3,empty))) )
| ~ spl1_50
| spl1_52 ),
inference(forward_demodulation,[],[f3809,f3785]) ).
tff(f3809,plain,
( ( 2 != count(add(3,remove(2,sK0))) )
| spl1_52 ),
inference(avatar_component_clause,[],[f3808]) ).
tff(f3854,plain,
( spl1_55
| ~ spl1_49
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f3843,f3783,f3671,f3851]) ).
tff(f3671,plain,
( spl1_49
<=> ( empty = remove(5,remove(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_49])]) ).
tff(f3843,plain,
( ( empty = remove(5,add(3,empty)) )
| ~ spl1_49
| ~ spl1_50 ),
inference(backward_demodulation,[],[f3673,f3785]) ).
tff(f3673,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f3671]) ).
tff(f3849,plain,
( spl1_54
| ~ spl1_10
| ~ spl1_50 ),
inference(avatar_split_clause,[],[f3836,f3783,f163,f3846]) ).
tff(f163,plain,
( spl1_10
<=> ( sK0 = add(2,remove(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f3836,plain,
( ( add(2,add(3,empty)) = sK0 )
| ~ spl1_10
| ~ spl1_50 ),
inference(backward_demodulation,[],[f165,f3785]) ).
tff(f165,plain,
( ( sK0 = add(2,remove(2,sK0)) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f163]) ).
tff(f3835,plain,
( spl1_53
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f3830,f3652,f260,f108,f3832]) ).
tff(f3832,plain,
( spl1_53
<=> in(3,remove(2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_53])]) ).
tff(f260,plain,
( spl1_18
<=> ( 1 = count(remove(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
tff(f3652,plain,
( spl1_48
<=> ( empty = remove(3,remove(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_48])]) ).
tff(f3830,plain,
( in(3,remove(2,sK0))
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(evaluation,[],[f3829]) ).
tff(f3829,plain,
( ( 0 != $sum(1,-1) )
| in(3,remove(2,sK0))
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3828,f262]) ).
tff(f262,plain,
( ( 1 = count(remove(2,sK0)) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f3828,plain,
( in(3,remove(2,sK0))
| ( 0 != $sum(count(remove(2,sK0)),-1) )
| ~ spl1_4
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3743,f110]) ).
tff(f3743,plain,
( in(3,remove(2,sK0))
| ( $sum(count(remove(2,sK0)),-1) != count(empty) )
| ~ spl1_48 ),
inference(superposition,[],[f91,f3654]) ).
tff(f3654,plain,
( ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_48 ),
inference(avatar_component_clause,[],[f3652]) ).
tff(f3827,plain,
( spl1_50
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f3826,f3652,f260,f108,f3783]) ).
tff(f3826,plain,
( ( add(3,empty) = remove(2,sK0) )
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(evaluation,[],[f3825]) ).
tff(f3825,plain,
( ( 0 = 1 )
| ( add(3,empty) = remove(2,sK0) )
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3824,f110]) ).
tff(f3824,plain,
( ( add(3,empty) = remove(2,sK0) )
| ( 1 = count(empty) )
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3745,f262]) ).
tff(f3745,plain,
( ( add(3,empty) = remove(2,sK0) )
| ( count(empty) = count(remove(2,sK0)) )
| ~ spl1_48 ),
inference(superposition,[],[f181,f3654]) ).
tff(f3811,plain,
( spl1_52
| spl1_50
| ~ spl1_18
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f3806,f3652,f260,f3783,f3808]) ).
tff(f3806,plain,
( ( add(3,empty) = remove(2,sK0) )
| ( 2 = count(add(3,remove(2,sK0))) )
| ~ spl1_18
| ~ spl1_48 ),
inference(evaluation,[],[f3805]) ).
tff(f3805,plain,
( ( add(3,empty) = remove(2,sK0) )
| ( $sum(1,1) = count(add(3,remove(2,sK0))) )
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3747,f262]) ).
tff(f3747,plain,
( ( add(3,empty) = remove(2,sK0) )
| ( $sum(count(remove(2,sK0)),1) = count(add(3,remove(2,sK0))) )
| ~ spl1_48 ),
inference(superposition,[],[f227,f3654]) ).
tff(f227,plain,
! [X0: $int,X1: collection] :
( ( add(X0,remove(X0,X1)) = X1 )
| ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
inference(resolution,[],[f63,f83]) ).
tff(f3795,plain,
( spl1_51
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f3790,f3652,f260,f108,f3792]) ).
tff(f3790,plain,
( ( 1 = count(add(3,remove(2,sK0))) )
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3789,f262]) ).
tff(f3789,plain,
( ( count(add(3,remove(2,sK0))) = count(remove(2,sK0)) )
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(evaluation,[],[f3788]) ).
tff(f3788,plain,
( ( 0 = 1 )
| ( count(add(3,remove(2,sK0))) = count(remove(2,sK0)) )
| ~ spl1_4
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3787,f110]) ).
tff(f3787,plain,
( ( 1 = count(empty) )
| ( count(add(3,remove(2,sK0))) = count(remove(2,sK0)) )
| ~ spl1_18
| ~ spl1_48 ),
inference(forward_demodulation,[],[f3746,f262]) ).
tff(f3746,plain,
( ( count(empty) = count(remove(2,sK0)) )
| ( count(add(3,remove(2,sK0))) = count(remove(2,sK0)) )
| ~ spl1_48 ),
inference(superposition,[],[f182,f3654]) ).
tff(f3786,plain,
( spl1_50
| ~ spl1_2
| ~ spl1_48 ),
inference(avatar_split_clause,[],[f3763,f3652,f98,f3783]) ).
tff(f98,plain,
( spl1_2
<=> in(3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f3763,plain,
( ( add(3,empty) = remove(2,sK0) )
| ~ spl1_2
| ~ spl1_48 ),
inference(evaluation,[],[f3733]) ).
tff(f3733,plain,
( ( 2 = 3 )
| ( add(3,empty) = remove(2,sK0) )
| ~ spl1_2
| ~ spl1_48 ),
inference(superposition,[],[f636,f3654]) ).
tff(f636,plain,
( ! [X32: $int] :
( ( add(3,remove(3,remove(X32,sK0))) = remove(X32,sK0) )
| ( 3 = X32 ) )
| ~ spl1_2 ),
inference(resolution,[],[f203,f100]) ).
tff(f100,plain,
( in(3,sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f98]) ).
tff(f3677,plain,
( spl1_49
| ~ spl1_3
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f3676,f260,f103,f3671]) ).
tff(f103,plain,
( spl1_3
<=> in(5,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f3676,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ~ spl1_3
| ~ spl1_18 ),
inference(evaluation,[],[f3675]) ).
tff(f3675,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ( 1 = $sum(1,-1) )
| ~ spl1_3
| ~ spl1_18 ),
inference(forward_demodulation,[],[f3642,f262]) ).
tff(f3642,plain,
( ( 1 = $sum(count(remove(2,sK0)),-1) )
| ( empty = remove(5,remove(2,sK0)) )
| ~ spl1_3
| ~ spl1_18 ),
inference(evaluation,[],[f3611]) ).
tff(f3611,plain,
( ( 1 = $sum(count(remove(2,sK0)),-1) )
| ( empty = remove(5,remove(2,sK0)) )
| ( 2 = 5 )
| ~ spl1_3
| ~ spl1_18 ),
inference(superposition,[],[f3422,f750]) ).
tff(f750,plain,
( ! [X41: $int] :
( ( count(remove(5,remove(X41,sK0))) = $sum(count(remove(X41,sK0)),-1) )
| ( 5 = X41 ) )
| ~ spl1_3 ),
inference(resolution,[],[f239,f105]) ).
tff(f105,plain,
( in(5,sK0)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f239,plain,
! [X10: collection,X11: $int,X9: $int] :
( ~ in(X11,X10)
| ( X9 = X11 )
| ( count(remove(X11,remove(X9,X10))) = $sum(count(remove(X9,X10)),-1) ) ),
inference(resolution,[],[f90,f78]) ).
tff(f90,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( $sum(count(X0),-1) = count(remove(X1,X0)) ) ),
inference(evaluation,[],[f70]) ).
tff(f70,plain,
! [X0: collection,X1: $int] :
( ~ in(X1,X0)
| ( count(remove(X1,X0)) = $sum(count(X0),$uminus(1)) ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f3422,plain,
( ! [X99: $int] :
( ( 1 = count(remove(X99,remove(2,sK0))) )
| ( empty = remove(X99,remove(2,sK0)) ) )
| ~ spl1_18 ),
inference(evaluation,[],[f3420]) ).
tff(f3420,plain,
( ! [X99: $int] :
( ( empty = remove(X99,remove(2,sK0)) )
| ( 1 = count(remove(X99,remove(2,sK0))) )
| ( 0 != $sum(1,-1) ) )
| ~ spl1_18 ),
inference(superposition,[],[f580,f262]) ).
tff(f580,plain,
! [X12: $int,X13: collection] :
( ( 0 != $sum(count(X13),-1) )
| ( empty = remove(X12,X13) )
| ( count(remove(X12,X13)) = count(X13) ) ),
inference(superposition,[],[f74,f236]) ).
tff(f236,plain,
! [X2: collection,X3: $int] :
( ( $sum(count(X2),-1) = count(remove(X3,X2)) )
| ( count(X2) = count(remove(X3,X2)) ) ),
inference(resolution,[],[f90,f85]) ).
tff(f3674,plain,
( spl1_49
| ~ spl1_3
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f3669,f260,f103,f3671]) ).
tff(f3669,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ~ spl1_3
| ~ spl1_18 ),
inference(evaluation,[],[f3668]) ).
tff(f3668,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ( 1 = $sum(1,-1) )
| ~ spl1_3
| ~ spl1_18 ),
inference(forward_demodulation,[],[f3643,f262]) ).
tff(f3643,plain,
( ( empty = remove(5,remove(2,sK0)) )
| ( 1 = $sum(count(remove(2,sK0)),-1) )
| ~ spl1_3
| ~ spl1_18 ),
inference(evaluation,[],[f3630]) ).
tff(f3630,plain,
( ( 2 = 5 )
| ( empty = remove(5,remove(2,sK0)) )
| ( 1 = $sum(count(remove(2,sK0)),-1) )
| ~ spl1_3
| ~ spl1_18 ),
inference(superposition,[],[f750,f3422]) ).
tff(f3661,plain,
( spl1_48
| ~ spl1_2
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f3660,f260,f98,f3652]) ).
tff(f3660,plain,
( ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_2
| ~ spl1_18 ),
inference(evaluation,[],[f3659]) ).
tff(f3659,plain,
( ( 1 = $sum(1,-1) )
| ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_2
| ~ spl1_18 ),
inference(forward_demodulation,[],[f3644,f262]) ).
tff(f3644,plain,
( ( empty = remove(3,remove(2,sK0)) )
| ( 1 = $sum(count(remove(2,sK0)),-1) )
| ~ spl1_2
| ~ spl1_18 ),
inference(evaluation,[],[f3610]) ).
tff(f3610,plain,
( ( 1 = $sum(count(remove(2,sK0)),-1) )
| ( 2 = 3 )
| ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_2
| ~ spl1_18 ),
inference(superposition,[],[f3422,f749]) ).
tff(f749,plain,
( ! [X40: $int] :
( ( count(remove(3,remove(X40,sK0))) = $sum(count(remove(X40,sK0)),-1) )
| ( 3 = X40 ) )
| ~ spl1_2 ),
inference(resolution,[],[f239,f100]) ).
tff(f3655,plain,
( spl1_48
| ~ spl1_2
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f3650,f260,f98,f3652]) ).
tff(f3650,plain,
( ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_2
| ~ spl1_18 ),
inference(evaluation,[],[f3649]) ).
tff(f3649,plain,
( ( empty = remove(3,remove(2,sK0)) )
| ( 1 = $sum(1,-1) )
| ~ spl1_2
| ~ spl1_18 ),
inference(forward_demodulation,[],[f3647,f262]) ).
tff(f3647,plain,
( ( 1 = $sum(count(remove(2,sK0)),-1) )
| ( empty = remove(3,remove(2,sK0)) )
| ~ spl1_2
| ~ spl1_18 ),
inference(evaluation,[],[f3629]) ).
tff(f3629,plain,
( ( 2 = 3 )
| ( empty = remove(3,remove(2,sK0)) )
| ( 1 = $sum(count(remove(2,sK0)),-1) )
| ~ spl1_2
| ~ spl1_18 ),
inference(superposition,[],[f749,f3422]) ).
tff(f3558,plain,
( ~ spl1_47
| ~ spl1_11
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f3531,f2687,f168,f3553]) ).
tff(f3553,plain,
( spl1_47
<=> ( 0 = count(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_47])]) ).
tff(f168,plain,
( spl1_11
<=> ( sK0 = add(5,remove(5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f2687,plain,
( spl1_30
<=> ! [X61: collection,X60: $int] : ( 0 != count(add(X60,X61)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_30])]) ).
tff(f3531,plain,
( ( 0 != count(sK0) )
| ~ spl1_11
| ~ spl1_30 ),
inference(superposition,[],[f2688,f170]) ).
tff(f170,plain,
( ( sK0 = add(5,remove(5,sK0)) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f168]) ).
tff(f2688,plain,
( ! [X60: $int,X61: collection] : ( 0 != count(add(X60,X61)) )
| ~ spl1_30 ),
inference(avatar_component_clause,[],[f2687]) ).
tff(f3557,plain,
( ~ spl1_47
| ~ spl1_10
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f3530,f2687,f163,f3553]) ).
tff(f3530,plain,
( ( 0 != count(sK0) )
| ~ spl1_10
| ~ spl1_30 ),
inference(superposition,[],[f2688,f165]) ).
tff(f3556,plain,
( ~ spl1_47
| ~ spl1_9
| ~ spl1_30 ),
inference(avatar_split_clause,[],[f3529,f2687,f158,f3553]) ).
tff(f158,plain,
( spl1_9
<=> ( sK0 = add(3,remove(3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f3529,plain,
( ( 0 != count(sK0) )
| ~ spl1_9
| ~ spl1_30 ),
inference(superposition,[],[f2688,f160]) ).
tff(f160,plain,
( ( sK0 = add(3,remove(3,sK0)) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f3179,plain,
( spl1_41
| spl1_40
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2933,f2690,f108,f98,f3123,f3126]) ).
tff(f3126,plain,
( spl1_41
<=> ! [X1: $int] : ( 0 != $sum(X1,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_41])]) ).
tff(f3123,plain,
( spl1_40
<=> ! [X0: $int] : ( empty = remove(3,add(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_40])]) ).
tff(f2690,plain,
( spl1_31
<=> ! [X62: $int] : ( empty = add(X62,empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_31])]) ).
tff(f2933,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(3,add(X0,sK0)) )
| ( 0 != $sum(X1,-1) ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f796,f2713]) ).
tff(f2713,plain,
( ! [X29: $int,X30: $int] : ( X29 = X30 )
| ~ spl1_4
| ~ spl1_31 ),
inference(evaluation,[],[f2712]) ).
tff(f2712,plain,
( ! [X29: $int,X30: $int] :
( ( 0 = 2 )
| ( X29 = X30 ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(forward_demodulation,[],[f2711,f110]) ).
tff(f2711,plain,
( ! [X29: $int,X30: $int] :
( ( X29 = X30 )
| ( 2 = count(empty) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(forward_demodulation,[],[f2707,f2691]) ).
tff(f2691,plain,
( ! [X62: $int] : ( empty = add(X62,empty) )
| ~ spl1_31 ),
inference(avatar_component_clause,[],[f2690]) ).
tff(f2707,plain,
( ! [X29: $int,X30: $int] :
( ( 2 = count(add(X29,empty)) )
| ( X29 = X30 ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(backward_demodulation,[],[f726,f2691]) ).
tff(f726,plain,
( ! [X29: $int,X30: $int] :
( ( 2 = count(add(X29,add(X30,empty))) )
| ( X29 = X30 ) )
| ~ spl1_4 ),
inference(evaluation,[],[f725]) ).
tff(f725,plain,
( ! [X29: $int,X30: $int] :
( ( X29 = X30 )
| ( $sum(1,1) = count(add(X29,add(X30,empty))) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f721,f234]) ).
tff(f721,plain,
! [X29: $int,X30: $int] :
( ( count(add(X29,add(X30,empty))) = $sum(count(add(X30,empty)),1) )
| ( X29 = X30 ) ),
inference(resolution,[],[f230,f75]) ).
tff(f230,plain,
! [X6: $int,X7: collection,X5: $int] :
( in(X5,X7)
| ( count(add(X5,add(X6,X7))) = $sum(count(add(X6,X7)),1) )
| ( X5 = X6 ) ),
inference(resolution,[],[f63,f66]) ).
tff(f796,plain,
( ! [X6: $int] :
( ( 0 != $sum(count(add(X6,sK0)),-1) )
| ( empty = remove(3,add(X6,sK0)) ) )
| ~ spl1_2 ),
inference(superposition,[],[f74,f613]) ).
tff(f613,plain,
( ! [X28: $int] : ( $sum(count(add(X28,sK0)),-1) = count(remove(3,add(X28,sK0))) )
| ~ spl1_2 ),
inference(resolution,[],[f238,f100]) ).
tff(f238,plain,
! [X8: $int,X6: $int,X7: collection] :
( ~ in(X8,X7)
| ( count(remove(X8,add(X6,X7))) = $sum(count(add(X6,X7)),-1) ) ),
inference(resolution,[],[f90,f65]) ).
tff(f65,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X1,add(X0,X2))
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f3178,plain,
( spl1_36
| spl1_42
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2906,f2690,f108,f3131,f3108]) ).
tff(f3108,plain,
( spl1_36
<=> ! [X2: $int] : ( 0 != X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_36])]) ).
tff(f3131,plain,
( spl1_42
<=> ! [X0: collection] : ( empty = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_42])]) ).
tff(f2906,plain,
( ! [X0: collection,X1: $int] :
( ( empty = X0 )
| ( 0 != X1 ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f74,f2713]) ).
tff(f3177,plain,
( spl1_38
| spl1_34
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2743,f2690,f108,f103,f3100,f3115]) ).
tff(f3115,plain,
( spl1_38
<=> ! [X1: $int] : ( $sum(X1,-1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_38])]) ).
tff(f3100,plain,
( spl1_34
<=> ! [X0: $int] : ~ in(5,add(X0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_34])]) ).
tff(f2743,plain,
( ! [X0: $int,X1: $int] :
( ~ in(5,add(X0,sK0))
| ( $sum(X1,-1) != X1 ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f802,f2713]) ).
tff(f802,plain,
( ! [X4: $int] :
( ( $sum(count(add(X4,sK0)),-1) != count(add(X4,sK0)) )
| ~ in(5,add(X4,sK0)) )
| ~ spl1_3 ),
inference(superposition,[],[f86,f614]) ).
tff(f614,plain,
( ! [X29: $int] : ( $sum(count(add(X29,sK0)),-1) = count(remove(5,add(X29,sK0))) )
| ~ spl1_3 ),
inference(resolution,[],[f238,f105]) ).
tff(f86,plain,
! [X0: $int,X1: collection] :
( ( count(remove(X0,X1)) != count(X1) )
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f3176,plain,
( spl1_33
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2938,f2690,f108,f93,f3097]) ).
tff(f3097,plain,
( spl1_33
<=> ! [X1: $int] : ( $sum(X1,1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_33])]) ).
tff(f93,plain,
( spl1_1
<=> in(2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f2938,plain,
( ! [X1: $int] : ( $sum(X1,1) != X1 )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1699,f2713]) ).
tff(f1699,plain,
( ! [X4: $int] : ( $sum(count(add(X4,sK0)),1) != count(add(X4,sK0)) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f1674,f389]) ).
tff(f389,plain,
( ! [X17: $int] : ( count(add(2,add(X17,sK0))) = count(add(X17,sK0)) )
| ~ spl1_1 ),
inference(resolution,[],[f130,f95]) ).
tff(f95,plain,
( in(2,sK0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f130,plain,
! [X2: $int,X3: collection,X4: $int] :
( ~ in(X4,X3)
| ( count(add(X2,X3)) = count(add(X4,add(X2,X3))) ) ),
inference(resolution,[],[f67,f65]) ).
tff(f1674,plain,
( ! [X4: $int] : ( $sum(count(add(2,add(X4,sK0))),1) != count(add(2,add(X4,sK0))) )
| ~ spl1_1 ),
inference(resolution,[],[f302,f1539]) ).
tff(f1539,plain,
( ! [X18: $int,X17: $int] : in(2,add(X17,add(X18,sK0)))
| ~ spl1_1 ),
inference(superposition,[],[f87,f416]) ).
tff(f416,plain,
( ! [X2: $int,X1: $int] : ( add(X1,add(X2,sK0)) = add(2,remove(2,add(X1,add(X2,sK0)))) )
| ~ spl1_1 ),
inference(resolution,[],[f405,f156]) ).
tff(f156,plain,
! [X2: $int,X3: $int,X4: collection] :
( ~ in(X2,X4)
| ( add(X3,X4) = add(X2,remove(X2,add(X3,X4))) ) ),
inference(resolution,[],[f83,f65]) ).
tff(f405,plain,
( ! [X1: $int] : in(2,add(X1,sK0))
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f401]) ).
tff(f401,plain,
( ! [X1: $int] :
( ( count(add(X1,sK0)) != count(add(X1,sK0)) )
| in(2,add(X1,sK0)) )
| ~ spl1_1 ),
inference(superposition,[],[f68,f389]) ).
tff(f68,plain,
! [X0: collection,X1: $int] :
( ( count(X0) != count(add(X1,X0)) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
tff(f302,plain,
! [X0: $int,X1: collection] :
( ~ in(X0,add(X0,X1))
| ( count(add(X0,X1)) != $sum(count(add(X0,X1)),1) ) ),
inference(superposition,[],[f62,f129]) ).
tff(f129,plain,
! [X0: $int,X1: collection] : ( count(add(X0,add(X0,X1))) = count(add(X0,X1)) ),
inference(resolution,[],[f67,f87]) ).
tff(f3175,plain,
( spl1_33
| spl1_46
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2739,f2690,f108,f98,f3153,f3097]) ).
tff(f3153,plain,
( spl1_46
<=> ! [X0: $int] : ~ in(3,add(X0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_46])]) ).
tff(f2739,plain,
( ! [X0: $int,X1: $int] :
( ~ in(3,add(X0,sK0))
| ( $sum(X1,1) != X1 ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f640,f2713]) ).
tff(f640,plain,
( ! [X1: $int] :
( ( count(add(X1,sK0)) != $sum(count(add(X1,sK0)),1) )
| ~ in(3,add(X1,sK0)) )
| ~ spl1_2 ),
inference(superposition,[],[f62,f390]) ).
tff(f390,plain,
( ! [X18: $int] : ( count(add(X18,sK0)) = count(add(3,add(X18,sK0))) )
| ~ spl1_2 ),
inference(resolution,[],[f130,f100]) ).
tff(f3174,plain,
( spl1_37
| spl1_38
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2745,f2690,f108,f93,f3115,f3112]) ).
tff(f3112,plain,
( spl1_37
<=> ! [X0: $int] : ~ in(2,add(X0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_37])]) ).
tff(f2745,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,-1) != X1 )
| ~ in(2,add(X0,sK0)) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1294,f2713]) ).
tff(f1294,plain,
( ! [X5: $int] :
( ( count(add(X5,sK0)) != $sum(count(add(X5,sK0)),-1) )
| ~ in(2,add(X5,sK0)) )
| ~ spl1_1 ),
inference(superposition,[],[f86,f418]) ).
tff(f418,plain,
( ! [X5: $int] : ( $sum(count(add(X5,sK0)),-1) = count(remove(2,add(X5,sK0))) )
| ~ spl1_1 ),
inference(resolution,[],[f405,f90]) ).
tff(f3173,plain,
( spl1_36
| ~ spl1_4
| ~ spl1_19
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2738,f2690,f408,f108,f3108]) ).
tff(f408,plain,
( spl1_19
<=> ! [X3: $int] : ( 0 != count(add(X3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).
tff(f2738,plain,
( ! [X1: $int] : ( 0 != X1 )
| ~ spl1_4
| ~ spl1_19
| ~ spl1_31 ),
inference(superposition,[],[f409,f2713]) ).
tff(f409,plain,
( ! [X3: $int] : ( 0 != count(add(X3,sK0)) )
| ~ spl1_19 ),
inference(avatar_component_clause,[],[f408]) ).
tff(f3172,plain,
( spl1_41
| spl1_43
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2746,f2690,f108,f93,f3135,f3126]) ).
tff(f3135,plain,
( spl1_43
<=> ! [X0: $int] : ( empty = remove(2,add(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_43])]) ).
tff(f2746,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(2,add(X0,sK0)) )
| ( 0 != $sum(X1,-1) ) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1297,f2713]) ).
tff(f1297,plain,
( ! [X9: $int] :
( ( 0 != $sum(count(add(X9,sK0)),-1) )
| ( empty = remove(2,add(X9,sK0)) ) )
| ~ spl1_1 ),
inference(superposition,[],[f74,f418]) ).
tff(f3171,plain,
( spl1_36
| spl1_39
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2815,f2690,f108,f3119,f3108]) ).
tff(f3119,plain,
( spl1_39
<=> ! [X0: $int,X1: collection] : ( empty = add(X0,remove(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
tff(f2815,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( empty = add(X0,remove(X0,X1)) )
| ( 0 != X2 ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f345,f2713]) ).
tff(f345,plain,
! [X6: $int,X7: collection] :
( ( 0 != $sum(count(remove(X6,X7)),1) )
| ( empty = add(X6,remove(X6,X7)) ) ),
inference(superposition,[],[f74,f231]) ).
tff(f231,plain,
! [X8: $int,X9: collection] : ( $sum(count(remove(X8,X9)),1) = count(add(X8,remove(X8,X9))) ),
inference(resolution,[],[f63,f89]) ).
tff(f89,plain,
! [X2: collection,X1: $int] : ~ in(X1,remove(X1,X2)),
inference(equality_resolution,[],[f76]) ).
tff(f76,plain,
! [X2: collection,X0: $int,X1: $int] :
( ( X0 != X1 )
| ~ in(X1,remove(X0,X2)) ),
inference(cnf_transformation,[],[f55]) ).
tff(f3170,plain,
( spl1_36
| spl1_40
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2828,f2690,f108,f98,f3123,f3108]) ).
tff(f2828,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(3,add(X0,sK0)) )
| ( 0 != X1 ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f796,f2713]) ).
tff(f3169,plain,
( spl1_38
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2939,f2690,f108,f93,f3115]) ).
tff(f2939,plain,
( ! [X1: $int] : ( $sum(X1,-1) != X1 )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1815,f2713]) ).
tff(f1815,plain,
( ! [X4: $int] : ( $sum(count(add(X4,sK0)),-1) != count(add(X4,sK0)) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f1792,f389]) ).
tff(f1792,plain,
( ! [X4: $int] : ( $sum(count(add(2,add(X4,sK0))),-1) != count(add(2,add(X4,sK0))) )
| ~ spl1_1 ),
inference(resolution,[],[f360,f1539]) ).
tff(f360,plain,
! [X2: $int,X3: collection] :
( ~ in(X2,add(X2,X3))
| ( $sum(count(add(X2,X3)),-1) != count(add(X2,X3)) ) ),
inference(superposition,[],[f86,f237]) ).
tff(f237,plain,
! [X4: $int,X5: collection] : ( count(remove(X4,add(X4,X5))) = $sum(count(add(X4,X5)),-1) ),
inference(resolution,[],[f90,f87]) ).
tff(f3168,plain,
( spl1_38
| spl1_34
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2934,f2690,f108,f103,f3100,f3115]) ).
tff(f2934,plain,
( ! [X0: $int,X1: $int] :
( ~ in(5,add(X0,sK0))
| ( $sum(X1,-1) != X1 ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f802,f2713]) ).
tff(f3167,plain,
( spl1_35
| spl1_41
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2729,f2690,f108,f3126,f3105]) ).
tff(f3105,plain,
( spl1_35
<=> ! [X0: $int,X1: collection] : ( empty = remove(X0,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_35])]) ).
tff(f2729,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( 0 != $sum(X2,-1) )
| ( empty = remove(X0,add(X0,X1)) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f362,f2713]) ).
tff(f362,plain,
! [X6: $int,X7: collection] :
( ( 0 != $sum(count(add(X6,X7)),-1) )
| ( empty = remove(X6,add(X6,X7)) ) ),
inference(superposition,[],[f74,f237]) ).
tff(f3166,plain,
( spl1_36
| spl1_43
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f3023,f2690,f108,f93,f3135,f3108]) ).
tff(f3023,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(2,add(X0,sK0)) )
| ( 0 != X1 ) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1297,f2713]) ).
tff(f3165,plain,
( spl1_35
| spl1_36
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f3016,f2690,f108,f3108,f3105]) ).
tff(f3016,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( 0 != X2 )
| ( empty = remove(X0,add(X0,X1)) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f362,f2713]) ).
tff(f3164,plain,
( spl1_33
| spl1_46
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2930,f2690,f108,f98,f3153,f3097]) ).
tff(f2930,plain,
( ! [X0: $int,X1: $int] :
( ~ in(3,add(X0,sK0))
| ( $sum(X1,1) != X1 ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f640,f2713]) ).
tff(f3163,plain,
( spl1_43
| spl1_36
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2832,f2690,f108,f93,f3108,f3135]) ).
tff(f2832,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ( empty = remove(2,add(X0,sK0)) ) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1297,f2713]) ).
tff(f3162,plain,
( spl1_44
| spl1_41
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2935,f2690,f108,f103,f3126,f3142]) ).
tff(f3142,plain,
( spl1_44
<=> ! [X0: $int] : ( empty = remove(5,add(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_44])]) ).
tff(f2935,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != $sum(X1,-1) )
| ( empty = remove(5,add(X0,sK0)) ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f804,f2713]) ).
tff(f804,plain,
( ! [X6: $int] :
( ( 0 != $sum(count(add(X6,sK0)),-1) )
| ( empty = remove(5,add(X6,sK0)) ) )
| ~ spl1_3 ),
inference(superposition,[],[f74,f614]) ).
tff(f3161,plain,
( spl1_46
| spl1_38
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2741,f2690,f108,f98,f3115,f3153]) ).
tff(f2741,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,-1) != X1 )
| ~ in(3,add(X0,sK0)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f794,f2713]) ).
tff(f794,plain,
( ! [X4: $int] :
( ( $sum(count(add(X4,sK0)),-1) != count(add(X4,sK0)) )
| ~ in(3,add(X4,sK0)) )
| ~ spl1_2 ),
inference(superposition,[],[f86,f613]) ).
tff(f3160,plain,
( spl1_39
| spl1_45
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2767,f2690,f108,f3149,f3119]) ).
tff(f3149,plain,
( spl1_45
<=> ! [X2: $int] : ( 0 != $sum(X2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_45])]) ).
tff(f2767,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( 0 != $sum(X2,1) )
| ( empty = add(X0,remove(X0,X1)) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f345,f2713]) ).
tff(f3159,plain,
( spl1_41
| spl1_35
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2920,f2690,f108,f3105,f3126]) ).
tff(f2920,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( empty = remove(X0,add(X0,X1)) )
| ( 0 != $sum(X2,-1) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f362,f2713]) ).
tff(f3158,plain,
( spl1_37
| spl1_33
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2928,f2690,f108,f93,f3097,f3112]) ).
tff(f2928,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,1) != X1 )
| ~ in(2,add(X0,sK0)) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f400,f2713]) ).
tff(f400,plain,
( ! [X0: $int] :
( ( $sum(count(add(X0,sK0)),1) != count(add(X0,sK0)) )
| ~ in(2,add(X0,sK0)) )
| ~ spl1_1 ),
inference(superposition,[],[f62,f389]) ).
tff(f3157,plain,
( spl1_33
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2747,f2690,f108,f93,f3097]) ).
tff(f2747,plain,
( ! [X1: $int] : ( $sum(X1,1) != X1 )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1699,f2713]) ).
tff(f3156,plain,
( spl1_44
| spl1_36
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2830,f2690,f108,f103,f3108,f3142]) ).
tff(f2830,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ( empty = remove(5,add(X0,sK0)) ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f804,f2713]) ).
tff(f3155,plain,
( spl1_46
| spl1_38
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2932,f2690,f108,f98,f3115,f3153]) ).
tff(f2932,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,-1) != X1 )
| ~ in(3,add(X0,sK0)) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f794,f2713]) ).
tff(f3151,plain,
( spl1_45
| spl1_39
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2958,f2690,f108,f3119,f3149]) ).
tff(f2958,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( empty = add(X0,remove(X0,X1)) )
| ( 0 != $sum(X2,1) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f345,f2713]) ).
tff(f3147,plain,
( spl1_36
| ~ spl1_4
| ~ spl1_29
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2925,f2690,f1550,f108,f3108]) ).
tff(f1550,plain,
( spl1_29
<=> ! [X27: $int,X28: $int] : ( 0 != count(add(X27,add(X28,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_29])]) ).
tff(f2925,plain,
( ! [X2: $int] : ( 0 != X2 )
| ~ spl1_4
| ~ spl1_29
| ~ spl1_31 ),
inference(superposition,[],[f1551,f2713]) ).
tff(f1551,plain,
( ! [X28: $int,X27: $int] : ( 0 != count(add(X27,add(X28,sK0))) )
| ~ spl1_29 ),
inference(avatar_component_clause,[],[f1550]) ).
tff(f3146,plain,
( spl1_41
| spl1_44
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2744,f2690,f108,f103,f3142,f3126]) ).
tff(f2744,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(5,add(X0,sK0)) )
| ( 0 != $sum(X1,-1) ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f804,f2713]) ).
tff(f3145,plain,
( spl1_36
| ~ spl1_4
| ~ spl1_29
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2734,f2690,f1550,f108,f3108]) ).
tff(f2734,plain,
( ! [X2: $int] : ( 0 != X2 )
| ~ spl1_4
| ~ spl1_29
| ~ spl1_31 ),
inference(superposition,[],[f1551,f2713]) ).
tff(f3144,plain,
( spl1_36
| spl1_44
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f3021,f2690,f108,f103,f3142,f3108]) ).
tff(f3021,plain,
( ! [X0: $int,X1: $int] :
( ( empty = remove(5,add(X0,sK0)) )
| ( 0 != X1 ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f804,f2713]) ).
tff(f3140,plain,
( spl1_36
| ~ spl1_4
| ~ spl1_19
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2929,f2690,f408,f108,f3108]) ).
tff(f2929,plain,
( ! [X1: $int] : ( 0 != X1 )
| ~ spl1_4
| ~ spl1_19
| ~ spl1_31 ),
inference(superposition,[],[f409,f2713]) ).
tff(f3139,plain,
( spl1_40
| spl1_36
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f3019,f2690,f108,f98,f3108,f3123]) ).
tff(f3019,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != X1 )
| ( empty = remove(3,add(X0,sK0)) ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f796,f2713]) ).
tff(f3138,plain,
( spl1_38
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2748,f2690,f108,f93,f3115]) ).
tff(f2748,plain,
( ! [X1: $int] : ( $sum(X1,-1) != X1 )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1815,f2713]) ).
tff(f3137,plain,
( spl1_43
| spl1_41
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2937,f2690,f108,f93,f3126,f3135]) ).
tff(f2937,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != $sum(X1,-1) )
| ( empty = remove(2,add(X0,sK0)) ) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1297,f2713]) ).
tff(f3133,plain,
( spl1_42
| spl1_36
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2715,f2690,f108,f3108,f3131]) ).
tff(f2715,plain,
( ! [X0: collection,X1: $int] :
( ( 0 != X1 )
| ( empty = X0 ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f74,f2713]) ).
tff(f3129,plain,
( spl1_37
| spl1_33
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2737,f2690,f108,f93,f3097,f3112]) ).
tff(f2737,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,1) != X1 )
| ~ in(2,add(X0,sK0)) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f400,f2713]) ).
tff(f3128,plain,
( spl1_40
| spl1_41
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2742,f2690,f108,f98,f3126,f3123]) ).
tff(f2742,plain,
( ! [X0: $int,X1: $int] :
( ( 0 != $sum(X1,-1) )
| ( empty = remove(3,add(X0,sK0)) ) )
| ~ spl1_2
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f796,f2713]) ).
tff(f3121,plain,
( spl1_39
| spl1_36
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f3006,f2690,f108,f3108,f3119]) ).
tff(f3006,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( 0 != X2 )
| ( empty = add(X0,remove(X0,X1)) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f345,f2713]) ).
tff(f3117,plain,
( spl1_37
| spl1_38
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2936,f2690,f108,f93,f3115,f3112]) ).
tff(f2936,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,-1) != X1 )
| ~ in(2,add(X0,sK0)) )
| ~ spl1_1
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f1294,f2713]) ).
tff(f3110,plain,
( spl1_35
| spl1_36
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2825,f2690,f108,f3108,f3105]) ).
tff(f2825,plain,
( ! [X2: $int,X0: $int,X1: collection] :
( ( 0 != X2 )
| ( empty = remove(X0,add(X0,X1)) ) )
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f362,f2713]) ).
tff(f3103,plain,
( spl1_34
| spl1_33
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2931,f2690,f108,f103,f3097,f3100]) ).
tff(f2931,plain,
( ! [X0: $int,X1: $int] :
( ( $sum(X1,1) != X1 )
| ~ in(5,add(X0,sK0)) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f669,f2713]) ).
tff(f669,plain,
( ! [X1: $int] :
( ( count(add(X1,sK0)) != $sum(count(add(X1,sK0)),1) )
| ~ in(5,add(X1,sK0)) )
| ~ spl1_3 ),
inference(superposition,[],[f62,f391]) ).
tff(f391,plain,
( ! [X19: $int] : ( count(add(5,add(X19,sK0))) = count(add(X19,sK0)) )
| ~ spl1_3 ),
inference(resolution,[],[f130,f105]) ).
tff(f3102,plain,
( spl1_33
| spl1_34
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(avatar_split_clause,[],[f2740,f2690,f108,f103,f3100,f3097]) ).
tff(f2740,plain,
( ! [X0: $int,X1: $int] :
( ~ in(5,add(X0,sK0))
| ( $sum(X1,1) != X1 ) )
| ~ spl1_3
| ~ spl1_4
| ~ spl1_31 ),
inference(superposition,[],[f669,f2713]) ).
tff(f2704,plain,
( spl1_32
| spl1_31
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f2700,f108,f2690,f2702]) ).
tff(f2702,plain,
( spl1_32
<=> ! [X73: $int,X72: $int,X74: collection] : ( 0 != count(add(X73,add(X72,X74))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_32])]) ).
tff(f2700,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(evaluation,[],[f2699]) ).
tff(f2699,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( 1 = -1 )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2698,f234]) ).
tff(f2698,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( count(add(X75,empty)) = -1 )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2697,f317]) ).
tff(f2697,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( count(add(X75,remove(X72,empty))) = -1 )
| ( empty = add(X75,empty) )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(evaluation,[],[f2696]) ).
tff(f2696,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( count(add(X75,remove(X72,empty))) = $sum(0,-1) )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2695,f110]) ).
tff(f2695,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( 0 != count(add(X73,add(X72,X74))) )
| ( count(add(X75,remove(X72,empty))) = $sum(count(empty),-1) ) )
| ~ spl1_4 ),
inference(forward_subsumption_demodulation,[],[f2694,f74]) ).
tff(f2694,plain,
( ! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,empty) )
| ( $sum(count(add(X73,add(X72,X74))),-1) = count(add(X75,remove(X72,add(X73,add(X72,X74))))) )
| ( 0 != count(add(X73,add(X72,X74))) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2693,f317]) ).
tff(f2693,plain,
! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( 0 != count(add(X73,add(X72,X74))) )
| ( $sum(count(add(X73,add(X72,X74))),-1) = count(add(X75,remove(X72,add(X73,add(X72,X74))))) )
| ( empty = add(X75,remove(X72,empty)) ) ),
inference(forward_subsumption_demodulation,[],[f2675,f74]) ).
tff(f2675,plain,
! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( empty = add(X75,remove(X72,add(X73,add(X72,X74)))) )
| ( 0 != count(add(X73,add(X72,X74))) )
| ( $sum(count(add(X73,add(X72,X74))),-1) = count(add(X75,remove(X72,add(X73,add(X72,X74))))) ) ),
inference(evaluation,[],[f2653]) ).
tff(f2653,plain,
! [X72: $int,X73: $int,X74: collection,X75: $int] :
( ( $sum(count(add(X73,add(X72,X74))),-1) = count(add(X75,remove(X72,add(X73,add(X72,X74))))) )
| ( empty = add(X75,remove(X72,add(X73,add(X72,X74)))) )
| ( 0 != $sum($sum(count(add(X73,add(X72,X74))),-1),1) ) ),
inference(superposition,[],[f531,f608]) ).
tff(f608,plain,
! [X16: collection,X14: $int,X15: $int] : ( count(remove(X14,add(X15,add(X14,X16)))) = $sum(count(add(X15,add(X14,X16))),-1) ),
inference(resolution,[],[f238,f87]) ).
tff(f531,plain,
! [X11: $int,X12: collection] :
( ( 0 != $sum(count(X12),1) )
| ( count(X12) = count(add(X11,X12)) )
| ( empty = add(X11,X12) ) ),
inference(superposition,[],[f74,f228]) ).
tff(f228,plain,
! [X2: $int,X3: collection] :
( ( $sum(count(X3),1) = count(add(X2,X3)) )
| ( count(add(X2,X3)) = count(X3) ) ),
inference(resolution,[],[f63,f67]) ).
tff(f2692,plain,
( spl1_30
| spl1_31
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f2685,f108,f2690,f2687]) ).
tff(f2685,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( empty = add(X62,empty) )
| ( 0 != count(add(X60,X61)) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2684,f317]) ).
tff(f2684,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( 0 != count(add(X60,X61)) )
| ( empty = add(X62,remove(X60,empty)) ) )
| ~ spl1_4 ),
inference(forward_subsumption_demodulation,[],[f2683,f74]) ).
tff(f2683,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( 0 != count(add(X60,X61)) ) )
| ~ spl1_4 ),
inference(evaluation,[],[f2682]) ).
tff(f2682,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( 1 = -1 )
| ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( 0 != count(add(X60,X61)) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2681,f234]) ).
tff(f2681,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( -1 = count(add(X62,empty)) )
| ( 0 != count(add(X60,X61)) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2680,f317]) ).
tff(f2680,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( count(add(X62,remove(X60,empty))) = -1 )
| ( 0 != count(add(X60,X61)) )
| ( empty = add(X62,remove(X60,add(X60,X61))) ) )
| ~ spl1_4 ),
inference(evaluation,[],[f2679]) ).
tff(f2679,plain,
( ! [X62: $int,X60: $int,X61: collection] :
( ( count(add(X62,remove(X60,empty))) = $sum(0,-1) )
| ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( 0 != count(add(X60,X61)) ) )
| ~ spl1_4 ),
inference(forward_demodulation,[],[f2678,f110]) ).
tff(f2678,plain,
! [X62: $int,X60: $int,X61: collection] :
( ( count(add(X62,remove(X60,empty))) = $sum(count(empty),-1) )
| ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( 0 != count(add(X60,X61)) ) ),
inference(forward_subsumption_demodulation,[],[f2677,f74]) ).
tff(f2677,plain,
! [X62: $int,X60: $int,X61: collection] :
( ( 0 != count(add(X60,X61)) )
| ( count(add(X62,remove(X60,add(X60,X61)))) = $sum(count(add(X60,X61)),-1) )
| ( empty = add(X62,remove(X60,add(X60,X61))) ) ),
inference(evaluation,[],[f2648]) ).
tff(f2648,plain,
! [X62: $int,X60: $int,X61: collection] :
( ( 0 != $sum($sum(count(add(X60,X61)),-1),1) )
| ( empty = add(X62,remove(X60,add(X60,X61))) )
| ( count(add(X62,remove(X60,add(X60,X61)))) = $sum(count(add(X60,X61)),-1) ) ),
inference(superposition,[],[f531,f237]) ).
tff(f1552,plain,
( spl1_20
| spl1_29
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f1544,f93,f1550,f411]) ).
tff(f411,plain,
( spl1_20
<=> ( empty = add(2,empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
tff(f1544,plain,
( ! [X28: $int,X27: $int] :
( ( 0 != count(add(X27,add(X28,sK0))) )
| ( empty = add(2,empty) ) )
| ~ spl1_1 ),
inference(superposition,[],[f311,f416]) ).
tff(f311,plain,
! [X6: $int,X7: collection] :
( ( 0 != count(add(X6,X7)) )
| ( empty = add(X6,empty) ) ),
inference(forward_subsumption_demodulation,[],[f305,f74]) ).
tff(f305,plain,
! [X6: $int,X7: collection] :
( ( 0 != count(add(X6,X7)) )
| ( empty = add(X6,add(X6,X7)) ) ),
inference(superposition,[],[f74,f129]) ).
tff(f972,plain,
( ~ spl1_4
| ~ spl1_26 ),
inference(avatar_contradiction_clause,[],[f971]) ).
tff(f971,plain,
( $false
| ~ spl1_4
| ~ spl1_26 ),
inference(evaluation,[],[f970]) ).
tff(f970,plain,
( ( 0 = -1 )
| ~ spl1_4
| ~ spl1_26 ),
inference(forward_demodulation,[],[f969,f110]) ).
tff(f969,plain,
( ( -1 = count(empty) )
| ~ spl1_4
| ~ spl1_26 ),
inference(forward_demodulation,[],[f968,f317]) ).
tff(f968,plain,
( ( count(remove(5,empty)) = -1 )
| ~ spl1_4
| ~ spl1_26 ),
inference(evaluation,[],[f967]) ).
tff(f967,plain,
( ( count(remove(5,empty)) = $sum(0,-1) )
| ~ spl1_4
| ~ spl1_26 ),
inference(forward_demodulation,[],[f954,f110]) ).
tff(f954,plain,
( ( count(remove(5,empty)) = $sum(count(empty),-1) )
| ~ spl1_26 ),
inference(superposition,[],[f237,f941]) ).
tff(f941,plain,
( ( empty = add(5,empty) )
| ~ spl1_26 ),
inference(avatar_component_clause,[],[f939]) ).
tff(f939,plain,
( spl1_26
<=> ( empty = add(5,empty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_26])]) ).
tff(f966,plain,
( ~ spl1_4
| ~ spl1_26 ),
inference(avatar_contradiction_clause,[],[f965]) ).
tff(f965,plain,
( $false
| ~ spl1_4
| ~ spl1_26 ),
inference(evaluation,[],[f964]) ).
tff(f964,plain,
( ( 0 = 1 )
| ~ spl1_4
| ~ spl1_26 ),
inference(forward_demodulation,[],[f963,f110]) ).
tff(f963,plain,
( ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_26 ),
inference(forward_demodulation,[],[f951,f234]) ).
tff(f951,plain,
( ( count(empty) = count(add(5,empty)) )
| ~ spl1_26 ),
inference(superposition,[],[f129,f941]) ).
tff(f961,plain,
( spl1_28
| ~ spl1_26 ),
inference(avatar_split_clause,[],[f955,f939,f957]) ).
tff(f957,plain,
( spl1_28
<=> in(5,empty) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_28])]) ).
tff(f955,plain,
( in(5,empty)
| ~ spl1_26 ),
inference(trivial_inequality_removal,[],[f949]) ).
tff(f949,plain,
( ( count(empty) != count(empty) )
| in(5,empty)
| ~ spl1_26 ),
inference(superposition,[],[f68,f941]) ).
tff(f960,plain,
( spl1_28
| ~ spl1_26 ),
inference(avatar_split_clause,[],[f950,f939,f957]) ).
tff(f950,plain,
( in(5,empty)
| ~ spl1_26 ),
inference(superposition,[],[f87,f941]) ).
tff(f945,plain,
( spl1_26
| spl1_27
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f937,f103,f943,f939]) ).
tff(f943,plain,
( spl1_27
<=> ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( 5 = X4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_27])]) ).
tff(f937,plain,
( ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( empty = add(5,empty) )
| ( 5 = X4 ) )
| ~ spl1_3 ),
inference(forward_subsumption_demodulation,[],[f934,f74]) ).
tff(f934,plain,
( ! [X4: $int] :
( ( 5 = X4 )
| ( 0 != count(remove(X4,sK0)) )
| ( empty = add(5,remove(X4,sK0)) ) )
| ~ spl1_3 ),
inference(superposition,[],[f74,f657]) ).
tff(f657,plain,
( ! [X33: $int] :
( ( count(add(5,remove(X33,sK0))) = count(remove(X33,sK0)) )
| ( 5 = X33 ) )
| ~ spl1_3 ),
inference(resolution,[],[f204,f105]) ).
tff(f923,plain,
( ~ spl1_4
| ~ spl1_23 ),
inference(avatar_contradiction_clause,[],[f922]) ).
tff(f922,plain,
( $false
| ~ spl1_4
| ~ spl1_23 ),
inference(evaluation,[],[f921]) ).
tff(f921,plain,
( ( 0 = -1 )
| ~ spl1_4
| ~ spl1_23 ),
inference(forward_demodulation,[],[f920,f110]) ).
tff(f920,plain,
( ( -1 = count(empty) )
| ~ spl1_4
| ~ spl1_23 ),
inference(forward_demodulation,[],[f919,f317]) ).
tff(f919,plain,
( ( count(remove(3,empty)) = -1 )
| ~ spl1_4
| ~ spl1_23 ),
inference(evaluation,[],[f918]) ).
tff(f918,plain,
( ( count(remove(3,empty)) = $sum(0,-1) )
| ~ spl1_4
| ~ spl1_23 ),
inference(forward_demodulation,[],[f905,f110]) ).
tff(f905,plain,
( ( count(remove(3,empty)) = $sum(count(empty),-1) )
| ~ spl1_23 ),
inference(superposition,[],[f237,f892]) ).
tff(f892,plain,
( ( empty = add(3,empty) )
| ~ spl1_23 ),
inference(avatar_component_clause,[],[f890]) ).
tff(f917,plain,
( spl1_25
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f901,f890,f909]) ).
tff(f909,plain,
( spl1_25
<=> in(3,empty) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
tff(f901,plain,
( in(3,empty)
| ~ spl1_23 ),
inference(superposition,[],[f87,f892]) ).
tff(f916,plain,
( ~ spl1_4
| ~ spl1_23 ),
inference(avatar_contradiction_clause,[],[f915]) ).
tff(f915,plain,
( $false
| ~ spl1_4
| ~ spl1_23 ),
inference(evaluation,[],[f914]) ).
tff(f914,plain,
( ( 0 = 1 )
| ~ spl1_4
| ~ spl1_23 ),
inference(forward_demodulation,[],[f913,f110]) ).
tff(f913,plain,
( ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_23 ),
inference(forward_demodulation,[],[f902,f234]) ).
tff(f902,plain,
( ( count(empty) = count(add(3,empty)) )
| ~ spl1_23 ),
inference(superposition,[],[f129,f892]) ).
tff(f912,plain,
( spl1_25
| ~ spl1_23 ),
inference(avatar_split_clause,[],[f906,f890,f909]) ).
tff(f906,plain,
( in(3,empty)
| ~ spl1_23 ),
inference(trivial_inequality_removal,[],[f900]) ).
tff(f900,plain,
( ( count(empty) != count(empty) )
| in(3,empty)
| ~ spl1_23 ),
inference(superposition,[],[f68,f892]) ).
tff(f896,plain,
( spl1_23
| spl1_24
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f888,f98,f894,f890]) ).
tff(f894,plain,
( spl1_24
<=> ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( 3 = X4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_24])]) ).
tff(f888,plain,
( ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( empty = add(3,empty) )
| ( 3 = X4 ) )
| ~ spl1_2 ),
inference(forward_subsumption_demodulation,[],[f885,f74]) ).
tff(f885,plain,
( ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( empty = add(3,remove(X4,sK0)) )
| ( 3 = X4 ) )
| ~ spl1_2 ),
inference(superposition,[],[f74,f656]) ).
tff(f656,plain,
( ! [X32: $int] :
( ( count(add(3,remove(X32,sK0))) = count(remove(X32,sK0)) )
| ( 3 = X32 ) )
| ~ spl1_2 ),
inference(resolution,[],[f204,f100]) ).
tff(f874,plain,
( spl1_20
| spl1_22
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f870,f93,f872,f411]) ).
tff(f872,plain,
( spl1_22
<=> ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( 2 = X4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_22])]) ).
tff(f870,plain,
( ! [X4: $int] :
( ( 0 != count(remove(X4,sK0)) )
| ( empty = add(2,empty) )
| ( 2 = X4 ) )
| ~ spl1_1 ),
inference(forward_subsumption_demodulation,[],[f867,f74]) ).
tff(f867,plain,
( ! [X4: $int] :
( ( empty = add(2,remove(X4,sK0)) )
| ( 0 != count(remove(X4,sK0)) )
| ( 2 = X4 ) )
| ~ spl1_1 ),
inference(superposition,[],[f74,f655]) ).
tff(f655,plain,
( ! [X31: $int] :
( ( count(add(2,remove(X31,sK0))) = count(remove(X31,sK0)) )
| ( 2 = X31 ) )
| ~ spl1_1 ),
inference(resolution,[],[f204,f95]) ).
tff(f497,plain,
( spl1_21
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f480,f411,f486]) ).
tff(f486,plain,
( spl1_21
<=> in(2,empty) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
tff(f480,plain,
( in(2,empty)
| ~ spl1_20 ),
inference(trivial_inequality_removal,[],[f475]) ).
tff(f475,plain,
( in(2,empty)
| ( count(empty) != count(empty) )
| ~ spl1_20 ),
inference(superposition,[],[f68,f413]) ).
tff(f413,plain,
( ( empty = add(2,empty) )
| ~ spl1_20 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f496,plain,
( ~ spl1_4
| ~ spl1_20 ),
inference(avatar_contradiction_clause,[],[f495]) ).
tff(f495,plain,
( $false
| ~ spl1_4
| ~ spl1_20 ),
inference(evaluation,[],[f494]) ).
tff(f494,plain,
( ( 0 = -1 )
| ~ spl1_4
| ~ spl1_20 ),
inference(forward_demodulation,[],[f493,f110]) ).
tff(f493,plain,
( ( -1 = count(empty) )
| ~ spl1_4
| ~ spl1_20 ),
inference(forward_demodulation,[],[f492,f317]) ).
tff(f492,plain,
( ( -1 = count(remove(2,empty)) )
| ~ spl1_4
| ~ spl1_20 ),
inference(evaluation,[],[f491]) ).
tff(f491,plain,
( ( count(remove(2,empty)) = $sum(0,-1) )
| ~ spl1_4
| ~ spl1_20 ),
inference(forward_demodulation,[],[f479,f110]) ).
tff(f479,plain,
( ( count(remove(2,empty)) = $sum(count(empty),-1) )
| ~ spl1_20 ),
inference(superposition,[],[f237,f413]) ).
tff(f489,plain,
( spl1_21
| ~ spl1_20 ),
inference(avatar_split_clause,[],[f476,f411,f486]) ).
tff(f476,plain,
( in(2,empty)
| ~ spl1_20 ),
inference(superposition,[],[f87,f413]) ).
tff(f484,plain,
( ~ spl1_4
| ~ spl1_20 ),
inference(avatar_contradiction_clause,[],[f483]) ).
tff(f483,plain,
( $false
| ~ spl1_4
| ~ spl1_20 ),
inference(evaluation,[],[f482]) ).
tff(f482,plain,
( ( 0 = 1 )
| ~ spl1_4
| ~ spl1_20 ),
inference(forward_demodulation,[],[f481,f110]) ).
tff(f481,plain,
( ( 1 = count(empty) )
| ~ spl1_4
| ~ spl1_20 ),
inference(forward_demodulation,[],[f477,f234]) ).
tff(f477,plain,
( ( count(empty) = count(add(2,empty)) )
| ~ spl1_20 ),
inference(superposition,[],[f129,f413]) ).
tff(f414,plain,
( spl1_19
| spl1_20
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f406,f93,f411,f408]) ).
tff(f406,plain,
( ! [X3: $int] :
( ( empty = add(2,empty) )
| ( 0 != count(add(X3,sK0)) ) )
| ~ spl1_1 ),
inference(forward_subsumption_demodulation,[],[f403,f74]) ).
tff(f403,plain,
( ! [X3: $int] :
( ( 0 != count(add(X3,sK0)) )
| ( empty = add(2,add(X3,sK0)) ) )
| ~ spl1_1 ),
inference(superposition,[],[f74,f389]) ).
tff(f263,plain,
( spl1_18
| ~ spl1_1
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f258,f113,f93,f260]) ).
tff(f258,plain,
( ( 1 = count(remove(2,sK0)) )
| ~ spl1_1
| ~ spl1_5 ),
inference(evaluation,[],[f257]) ).
tff(f257,plain,
( ( $sum(2,-1) = count(remove(2,sK0)) )
| ~ spl1_1
| ~ spl1_5 ),
inference(forward_demodulation,[],[f240,f115]) ).
tff(f240,plain,
( ( $sum(count(sK0),-1) = count(remove(2,sK0)) )
| ~ spl1_1 ),
inference(resolution,[],[f90,f95]) ).
tff(f256,plain,
( spl1_17
| ~ spl1_2
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f251,f113,f98,f253]) ).
tff(f253,plain,
( spl1_17
<=> ( 1 = count(remove(3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
tff(f251,plain,
( ( 1 = count(remove(3,sK0)) )
| ~ spl1_2
| ~ spl1_5 ),
inference(evaluation,[],[f250]) ).
tff(f250,plain,
( ( $sum(2,-1) = count(remove(3,sK0)) )
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_demodulation,[],[f241,f115]) ).
tff(f241,plain,
( ( $sum(count(sK0),-1) = count(remove(3,sK0)) )
| ~ spl1_2 ),
inference(resolution,[],[f90,f100]) ).
tff(f249,plain,
( spl1_16
| ~ spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f244,f113,f103,f246]) ).
tff(f246,plain,
( spl1_16
<=> ( 1 = count(remove(5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
tff(f244,plain,
( ( 1 = count(remove(5,sK0)) )
| ~ spl1_3
| ~ spl1_5 ),
inference(evaluation,[],[f243]) ).
tff(f243,plain,
( ( $sum(2,-1) = count(remove(5,sK0)) )
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f242,f115]) ).
tff(f242,plain,
( ( $sum(count(sK0),-1) = count(remove(5,sK0)) )
| ~ spl1_3 ),
inference(resolution,[],[f90,f105]) ).
tff(f218,plain,
( spl1_14
| ~ spl1_15
| ~ spl1_5
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f209,f163,f113,f215,f211]) ).
tff(f211,plain,
( spl1_14
<=> in(2,remove(2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
tff(f215,plain,
( spl1_15
<=> ( 2 = count(remove(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
tff(f209,plain,
( ( 2 != count(remove(2,sK0)) )
| in(2,remove(2,sK0))
| ~ spl1_5
| ~ spl1_10 ),
inference(forward_demodulation,[],[f206,f115]) ).
tff(f206,plain,
( ( count(sK0) != count(remove(2,sK0)) )
| in(2,remove(2,sK0))
| ~ spl1_10 ),
inference(superposition,[],[f68,f165]) ).
tff(f196,plain,
( spl1_12
| ~ spl1_13
| ~ spl1_5
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f187,f158,f113,f193,f189]) ).
tff(f189,plain,
( spl1_12
<=> in(3,remove(3,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).
tff(f193,plain,
( spl1_13
<=> ( 2 = count(remove(3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
tff(f187,plain,
( ( 2 != count(remove(3,sK0)) )
| in(3,remove(3,sK0))
| ~ spl1_5
| ~ spl1_9 ),
inference(forward_demodulation,[],[f184,f115]) ).
tff(f184,plain,
( ( count(remove(3,sK0)) != count(sK0) )
| in(3,remove(3,sK0))
| ~ spl1_9 ),
inference(superposition,[],[f68,f160]) ).
tff(f171,plain,
( spl1_11
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f154,f103,f168]) ).
tff(f154,plain,
( ( sK0 = add(5,remove(5,sK0)) )
| ~ spl1_3 ),
inference(resolution,[],[f83,f105]) ).
tff(f166,plain,
( spl1_10
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f152,f93,f163]) ).
tff(f152,plain,
( ( sK0 = add(2,remove(2,sK0)) )
| ~ spl1_1 ),
inference(resolution,[],[f83,f95]) ).
tff(f161,plain,
( spl1_9
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f153,f98,f158]) ).
tff(f153,plain,
( ( sK0 = add(3,remove(3,sK0)) )
| ~ spl1_2 ),
inference(resolution,[],[f83,f100]) ).
tff(f148,plain,
( spl1_8
| ~ spl1_2
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f143,f113,f98,f145]) ).
tff(f145,plain,
( spl1_8
<=> ( 2 = count(add(3,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f143,plain,
( ( 2 = count(add(3,sK0)) )
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_demodulation,[],[f127,f115]) ).
tff(f127,plain,
( ( count(add(3,sK0)) = count(sK0) )
| ~ spl1_2 ),
inference(resolution,[],[f67,f100]) ).
tff(f142,plain,
( spl1_7
| ~ spl1_3
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f137,f113,f103,f139]) ).
tff(f139,plain,
( spl1_7
<=> ( 2 = count(add(5,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f137,plain,
( ( 2 = count(add(5,sK0)) )
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f128,f115]) ).
tff(f128,plain,
( ( count(add(5,sK0)) = count(sK0) )
| ~ spl1_3 ),
inference(resolution,[],[f67,f105]) ).
tff(f136,plain,
( spl1_6
| ~ spl1_1
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f131,f113,f93,f133]) ).
tff(f133,plain,
( spl1_6
<=> ( 2 = count(add(2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f131,plain,
( ( 2 = count(add(2,sK0)) )
| ~ spl1_1
| ~ spl1_5 ),
inference(forward_demodulation,[],[f126,f115]) ).
tff(f126,plain,
( ( count(add(2,sK0)) = count(sK0) )
| ~ spl1_1 ),
inference(resolution,[],[f67,f95]) ).
tff(f116,plain,
spl1_5,
inference(avatar_split_clause,[],[f81,f113]) ).
tff(f81,plain,
2 = count(sK0),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
( in(2,sK0)
& ( 2 = count(sK0) )
& in(5,sK0)
& in(3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f56]) ).
tff(f56,plain,
( ? [X0: collection] :
( in(2,X0)
& ( 2 = count(X0) )
& in(5,X0)
& in(3,X0) )
=> ( in(2,sK0)
& ( 2 = count(sK0) )
& in(5,sK0)
& in(3,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f41,plain,
? [X0: collection] :
( in(2,X0)
& ( 2 = count(X0) )
& in(5,X0)
& in(3,X0) ),
inference(flattening,[],[f40]) ).
tff(f40,plain,
? [X0: collection] :
( in(5,X0)
& ( 2 = count(X0) )
& in(3,X0)
& in(2,X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X0: collection] :
( ( ( 2 = count(X0) )
& in(3,X0)
& in(2,X0) )
=> ~ in(5,X0) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X0: collection] :
( ( ( 2 = count(X0) )
& in(3,X0)
& in(2,X0) )
=> ~ in(5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f111,plain,
spl1_4,
inference(avatar_split_clause,[],[f88,f108]) ).
tff(f88,plain,
0 = count(empty),
inference(equality_resolution,[],[f73]) ).
tff(f73,plain,
! [X0: collection] :
( ( 0 = count(X0) )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f52]) ).
tff(f106,plain,
spl1_3,
inference(avatar_split_clause,[],[f80,f103]) ).
tff(f80,plain,
in(5,sK0),
inference(cnf_transformation,[],[f57]) ).
tff(f101,plain,
spl1_2,
inference(avatar_split_clause,[],[f79,f98]) ).
tff(f79,plain,
in(3,sK0),
inference(cnf_transformation,[],[f57]) ).
tff(f96,plain,
spl1_1,
inference(avatar_split_clause,[],[f82,f93]) ).
tff(f82,plain,
in(2,sK0),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : DAT038=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:32:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (5272)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (5264)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50 % (5260)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (5259)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (5259)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (5259)Terminated due to inappropriate strategy.
% 0.19/0.51 % (5259)------------------------------
% 0.19/0.51 % (5259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5259)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (5259)Memory used [KB]: 895
% 0.19/0.51 % (5259)Time elapsed: 0.002 s
% 0.19/0.51 % (5259)Instructions burned: 2 (million)
% 0.19/0.51 % (5259)------------------------------
% 0.19/0.51 % (5259)------------------------------
% 0.19/0.51 % (5275)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (5269)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (5271)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (5268)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (5281)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (5282)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (5267)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (5283)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (5267)Instruction limit reached!
% 0.19/0.52 % (5267)------------------------------
% 0.19/0.52 % (5267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5278)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (5267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5267)Termination reason: Unknown
% 0.19/0.52 % (5267)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (5267)Memory used [KB]: 895
% 0.19/0.52 % (5267)Time elapsed: 0.004 s
% 0.19/0.52 % (5267)Instructions burned: 2 (million)
% 0.19/0.52 % (5267)------------------------------
% 0.19/0.52 % (5267)------------------------------
% 0.19/0.52 % (5262)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (5273)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (5274)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (5263)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (5265)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (5270)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (5261)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (5277)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (5288)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)
% 1.46/0.54 % (5287)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.54 % (5280)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.54 % (5284)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.46/0.54 % (5265)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.46/0.54 % (5265)Terminated due to inappropriate strategy.
% 1.46/0.54 % (5265)------------------------------
% 1.46/0.54 % (5265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (5265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (5265)Termination reason: Inappropriate
% 1.46/0.54
% 1.46/0.54 % (5265)Memory used [KB]: 895
% 1.46/0.54 % (5265)Time elapsed: 0.005 s
% 1.46/0.54 % (5265)Instructions burned: 2 (million)
% 1.46/0.54 % (5265)------------------------------
% 1.46/0.54 % (5265)------------------------------
% 1.46/0.54 % (5276)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.55 % (5276)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.46/0.55 % (5276)Terminated due to inappropriate strategy.
% 1.46/0.55 % (5276)------------------------------
% 1.46/0.55 % (5276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (5276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (5276)Termination reason: Inappropriate
% 1.46/0.55
% 1.46/0.55 % (5276)Memory used [KB]: 895
% 1.46/0.55 % (5276)Time elapsed: 0.002 s
% 1.46/0.55 % (5276)Instructions burned: 2 (million)
% 1.46/0.55 % (5276)------------------------------
% 1.46/0.55 % (5276)------------------------------
% 1.46/0.55 % (5285)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.46/0.55 % (5279)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)
% 1.46/0.55 % (5266)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.55 % (5286)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)
% 1.59/0.57 % (5264)Instruction limit reached!
% 1.59/0.57 % (5264)------------------------------
% 1.59/0.57 % (5264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (5260)Instruction limit reached!
% 1.59/0.58 % (5260)------------------------------
% 1.59/0.58 % (5260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (5260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (5260)Termination reason: Unknown
% 1.59/0.58 % (5260)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (5260)Memory used [KB]: 6268
% 1.59/0.58 % (5260)Time elapsed: 0.183 s
% 1.59/0.58 % (5260)Instructions burned: 50 (million)
% 1.59/0.58 % (5260)------------------------------
% 1.59/0.58 % (5260)------------------------------
% 1.59/0.58 % (5266)Instruction limit reached!
% 1.59/0.58 % (5266)------------------------------
% 1.59/0.58 % (5266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (5266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (5266)Termination reason: Unknown
% 1.59/0.58 % (5266)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (5266)Memory used [KB]: 5500
% 1.59/0.58 % (5266)Time elapsed: 0.145 s
% 1.59/0.58 % (5266)Instructions burned: 7 (million)
% 1.59/0.58 % (5266)------------------------------
% 1.59/0.58 % (5266)------------------------------
% 1.59/0.58 % (5264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (5264)Termination reason: Unknown
% 1.59/0.58 % (5264)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (5264)Memory used [KB]: 5884
% 1.59/0.58 % (5264)Time elapsed: 0.166 s
% 1.59/0.58 % (5264)Instructions burned: 48 (million)
% 1.59/0.58 % (5264)------------------------------
% 1.59/0.58 % (5264)------------------------------
% 1.59/0.60 % (5269)Instruction limit reached!
% 1.59/0.60 % (5269)------------------------------
% 1.59/0.60 % (5269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (5261)Instruction limit reached!
% 1.59/0.60 % (5261)------------------------------
% 1.59/0.60 % (5261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (5261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (5261)Termination reason: Unknown
% 1.59/0.60 % (5261)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (5261)Memory used [KB]: 1535
% 1.59/0.60 % (5261)Time elapsed: 0.166 s
% 1.59/0.60 % (5261)Instructions burned: 37 (million)
% 1.59/0.60 % (5261)------------------------------
% 1.59/0.60 % (5261)------------------------------
% 1.59/0.60 % (5268)Instruction limit reached!
% 1.59/0.60 % (5268)------------------------------
% 1.59/0.60 % (5268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.60 % (5268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.60 % (5268)Termination reason: Unknown
% 1.59/0.60 % (5268)Termination phase: Saturation
% 1.59/0.60
% 1.59/0.60 % (5268)Memory used [KB]: 1791
% 1.59/0.60 % (5268)Time elapsed: 0.208 s
% 1.59/0.60 % (5268)Instructions burned: 52 (million)
% 1.59/0.60 % (5268)------------------------------
% 1.59/0.60 % (5268)------------------------------
% 1.59/0.61 % (5263)Instruction limit reached!
% 1.59/0.61 % (5263)------------------------------
% 1.59/0.61 % (5263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.61 % (5269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.61 % (5269)Termination reason: Unknown
% 1.59/0.61 % (5269)Termination phase: Saturation
% 1.59/0.61
% 1.59/0.61 % (5269)Memory used [KB]: 6268
% 1.59/0.61 % (5269)Time elapsed: 0.205 s
% 1.59/0.61 % (5269)Instructions burned: 51 (million)
% 1.59/0.61 % (5269)------------------------------
% 1.59/0.61 % (5269)------------------------------
% 1.59/0.62 % (5262)Instruction limit reached!
% 1.59/0.62 % (5262)------------------------------
% 1.59/0.62 % (5262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (5263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.62 % (5263)Termination reason: Unknown
% 1.59/0.62 % (5263)Termination phase: Saturation
% 1.59/0.62
% 1.59/0.62 % (5273)Instruction limit reached!
% 1.59/0.62 % (5273)------------------------------
% 1.59/0.62 % (5273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.62 % (5263)Memory used [KB]: 6268
% 1.59/0.62 % (5263)Time elapsed: 0.202 s
% 1.59/0.62 % (5263)Instructions burned: 51 (million)
% 1.59/0.62 % (5263)------------------------------
% 1.59/0.62 % (5263)------------------------------
% 2.12/0.63 % (5273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (5273)Termination reason: Unknown
% 2.12/0.63 % (5273)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (5273)Memory used [KB]: 6524
% 2.12/0.63 % (5273)Time elapsed: 0.043 s
% 2.12/0.63 % (5273)Instructions burned: 68 (million)
% 2.12/0.63 % (5273)------------------------------
% 2.12/0.63 % (5273)------------------------------
% 2.12/0.63 % (5272)Instruction limit reached!
% 2.12/0.63 % (5272)------------------------------
% 2.12/0.63 % (5272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (5262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (5262)Termination reason: Unknown
% 2.12/0.64 % (5262)Termination phase: Saturation
% 2.12/0.64
% 2.12/0.64 % (5262)Memory used [KB]: 6012
% 2.12/0.64 % (5262)Time elapsed: 0.208 s
% 2.12/0.64 % (5262)Instructions burned: 51 (million)
% 2.12/0.64 % (5262)------------------------------
% 2.12/0.64 % (5262)------------------------------
% 2.12/0.64 % (5272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (5285)Instruction limit reached!
% 2.12/0.64 % (5285)------------------------------
% 2.12/0.64 % (5285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64 % (5272)Termination reason: Unknown
% 2.12/0.64 % (5285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64 % (5285)Termination reason: Unknown
% 2.12/0.64 % (5285)Termination phase: Saturation
% 2.12/0.64
% 2.12/0.64 % (5285)Memory used [KB]: 6524
% 2.12/0.64 % (5285)Time elapsed: 0.045 s
% 2.12/0.64 % (5285)Instructions burned: 68 (million)
% 2.12/0.64 % (5285)------------------------------
% 2.12/0.64 % (5285)------------------------------
% 2.12/0.64 % (5272)Termination phase: Saturation
% 2.12/0.64
% 2.12/0.64 % (5272)Memory used [KB]: 6652
% 2.12/0.64 % (5272)Time elapsed: 0.217 s
% 2.12/0.64 % (5272)Instructions burned: 100 (million)
% 2.12/0.64 % (5272)------------------------------
% 2.12/0.64 % (5272)------------------------------
% 2.12/0.64 % (5358)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.12/0.65 % (5363)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 (2998ds/211Mi)
% 2.12/0.66 % (5278)Instruction limit reached!
% 2.12/0.66 % (5278)------------------------------
% 2.12/0.66 % (5278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.66 % (5278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.66 % (5278)Termination reason: Unknown
% 2.12/0.66 % (5278)Termination phase: Saturation
% 2.12/0.66
% 2.12/0.66 % (5278)Memory used [KB]: 2302
% 2.12/0.66 % (5278)Time elapsed: 0.247 s
% 2.12/0.66 % (5278)Instructions burned: 100 (million)
% 2.12/0.66 % (5278)------------------------------
% 2.12/0.66 % (5278)------------------------------
% 2.37/0.67 % (5274)Instruction limit reached!
% 2.37/0.67 % (5274)------------------------------
% 2.37/0.67 % (5274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67 % (5274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67 % (5274)Termination reason: Unknown
% 2.37/0.67 % (5274)Termination phase: Saturation
% 2.37/0.67
% 2.37/0.67 % (5274)Memory used [KB]: 1791
% 2.37/0.67 % (5274)Time elapsed: 0.232 s
% 2.37/0.67 % (5274)Instructions burned: 75 (million)
% 2.37/0.67 % (5274)------------------------------
% 2.37/0.67 % (5274)------------------------------
% 2.37/0.67 % (5275)Instruction limit reached!
% 2.37/0.67 % (5275)------------------------------
% 2.37/0.67 % (5275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.67 % (5275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.67 % (5275)Termination reason: Unknown
% 2.37/0.67 % (5275)Termination phase: Saturation
% 2.37/0.67
% 2.37/0.67 % (5275)Memory used [KB]: 6396
% 2.37/0.67 % (5275)Time elapsed: 0.287 s
% 2.37/0.67 % (5275)Instructions burned: 100 (million)
% 2.37/0.67 % (5275)------------------------------
% 2.37/0.67 % (5275)------------------------------
% 2.37/0.68 % (5365)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.37/0.68 % (5364)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 (2998ds/90Mi)
% 2.37/0.68 % (5271)Instruction limit reached!
% 2.37/0.68 % (5271)------------------------------
% 2.37/0.68 % (5271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.68 % (5271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.68 % (5271)Termination reason: Unknown
% 2.37/0.68 % (5271)Termination phase: Saturation
% 2.37/0.68
% 2.37/0.68 % (5271)Memory used [KB]: 6524
% 2.37/0.68 % (5271)Time elapsed: 0.270 s
% 2.37/0.68 % (5271)Instructions burned: 102 (million)
% 2.37/0.68 % (5271)------------------------------
% 2.37/0.68 % (5271)------------------------------
% 2.37/0.70 % (5367)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.37/0.70 % (5368)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 (2997ds/655Mi)
% 2.37/0.71 % (5270)Instruction limit reached!
% 2.37/0.71 % (5270)------------------------------
% 2.37/0.71 % (5270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (5270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (5270)Termination reason: Unknown
% 2.37/0.71 % (5270)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (5270)Memory used [KB]: 6396
% 2.37/0.71 % (5270)Time elapsed: 0.309 s
% 2.37/0.71 % (5270)Instructions burned: 100 (million)
% 2.37/0.71 % (5270)------------------------------
% 2.37/0.71 % (5270)------------------------------
% 2.37/0.71 % (5366)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.37/0.71 % (5277)Instruction limit reached!
% 2.37/0.71 % (5277)------------------------------
% 2.37/0.71 % (5277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (5277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (5277)Termination reason: Unknown
% 2.37/0.71 % (5277)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (5277)Memory used [KB]: 6652
% 2.37/0.71 % (5277)Time elapsed: 0.297 s
% 2.37/0.71 % (5277)Instructions burned: 100 (million)
% 2.37/0.71 % (5277)------------------------------
% 2.37/0.71 % (5277)------------------------------
% 2.37/0.73 % (5369)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 (2997ds/68Mi)
% 2.66/0.74 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.66/0.75 % (5370)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 (2997ds/940Mi)
% 2.66/0.75 % (5373)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 (2997ds/2016Mi)
% 2.66/0.76 % (5372)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.66/0.76 % (5371)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 (2997ds/981Mi)
% 2.72/0.77 % (5280)Instruction limit reached!
% 2.72/0.77 % (5280)------------------------------
% 2.72/0.77 % (5280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.77 % (5280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.77 % (5280)Termination reason: Unknown
% 2.72/0.77 % (5280)Termination phase: Saturation
% 2.72/0.77
% 2.72/0.77 % (5280)Memory used [KB]: 7036
% 2.72/0.77 % (5280)Time elapsed: 0.377 s
% 2.72/0.77 % (5280)Instructions burned: 138 (million)
% 2.72/0.77 % (5280)------------------------------
% 2.72/0.77 % (5280)------------------------------
% 2.72/0.77 % (5374)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.72/0.77 % (5377)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.72/0.78 % (5376)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 2.72/0.78 % (5375)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 (2997ds/4958Mi)
% 2.72/0.81 % (5378)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 (2996ds/4931Mi)
% 2.72/0.81 % (5379)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.92/0.83 % (5381)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 (2996ds/2134Mi)
% 2.92/0.83 % (5380)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 (2996ds/1824Mi)
% 2.92/0.84 % (5279)Instruction limit reached!
% 2.92/0.84 % (5279)------------------------------
% 2.92/0.84 % (5279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.84 % (5279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.84 % (5279)Termination reason: Unknown
% 2.92/0.84 % (5279)Termination phase: Saturation
% 2.92/0.84
% 2.92/0.84 % (5279)Memory used [KB]: 7419
% 2.92/0.84 % (5279)Time elapsed: 0.431 s
% 2.92/0.84 % (5279)Instructions burned: 177 (million)
% 2.92/0.84 % (5279)------------------------------
% 2.92/0.84 % (5279)------------------------------
% 2.92/0.85 % (5364)Instruction limit reached!
% 2.92/0.85 % (5364)------------------------------
% 2.92/0.85 % (5364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.85 % (5364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.85 % (5364)Termination reason: Unknown
% 2.92/0.85 % (5364)Termination phase: Saturation
% 2.92/0.85
% 2.92/0.85 % (5364)Memory used [KB]: 6524
% 2.92/0.85 % (5364)Time elapsed: 0.279 s
% 2.92/0.85 % (5364)Instructions burned: 91 (million)
% 2.92/0.85 % (5364)------------------------------
% 2.92/0.85 % (5364)------------------------------
% 3.09/0.86 % (5369)Instruction limit reached!
% 3.09/0.86 % (5369)------------------------------
% 3.09/0.86 % (5369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.86 % (5382)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.09/0.86 % (5369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.86 % (5369)Termination reason: Unknown
% 3.09/0.86 % (5369)Termination phase: Saturation
% 3.09/0.86
% 3.09/0.86 % (5369)Memory used [KB]: 6524
% 3.09/0.86 % (5369)Time elapsed: 0.037 s
% 3.09/0.86 % (5369)Instructions burned: 69 (million)
% 3.09/0.86 % (5369)------------------------------
% 3.09/0.86 % (5369)------------------------------
% 3.09/0.88 % (5286)Instruction limit reached!
% 3.09/0.88 % (5286)------------------------------
% 3.09/0.88 % (5286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.88 % (5286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.09/0.88 % (5286)Termination reason: Unknown
% 3.09/0.88 % (5286)Termination phase: Saturation
% 3.09/0.88
% 3.09/0.88 % (5286)Memory used [KB]: 2942
% 3.09/0.88 % (5286)Time elapsed: 0.440 s
% 3.09/0.88 % (5286)Instructions burned: 177 (million)
% 3.09/0.88 % (5286)------------------------------
% 3.09/0.88 % (5286)------------------------------
% 3.09/0.90 % (5383)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.09/0.91 % (5372)Instruction limit reached!
% 3.09/0.91 % (5372)------------------------------
% 3.09/0.91 % (5372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.09/0.92 % (5379)Instruction limit reached!
% 3.09/0.92 % (5379)------------------------------
% 3.09/0.92 % (5379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.93 % (5372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.93 % (5372)Termination reason: Unknown
% 3.31/0.93 % (5372)Termination phase: Saturation
% 3.31/0.93
% 3.31/0.93 % (5372)Memory used [KB]: 6908
% 3.31/0.93 % (5372)Time elapsed: 0.269 s
% 3.31/0.93 % (5372)Instructions burned: 90 (million)
% 3.31/0.93 % (5372)------------------------------
% 3.31/0.93 % (5372)------------------------------
% 3.31/0.93 % (5363)Instruction limit reached!
% 3.31/0.93 % (5363)------------------------------
% 3.31/0.93 % (5363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.31/0.93 % (5363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.93 % (5363)Termination reason: Unknown
% 3.31/0.93 % (5363)Termination phase: Saturation
% 3.31/0.93
% 3.31/0.93 % (5363)Memory used [KB]: 3070
% 3.31/0.93 % (5363)Time elapsed: 0.372 s
% 3.31/0.93 % (5363)Instructions burned: 212 (million)
% 3.31/0.93 % (5363)------------------------------
% 3.31/0.93 % (5363)------------------------------
% 3.31/0.94 % (5379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.31/0.94 % (5379)Termination reason: Unknown
% 3.31/0.94 % (5379)Termination phase: Saturation
% 3.31/0.94
% 3.31/0.94 % (5379)Memory used [KB]: 6524
% 3.31/0.94 % (5379)Time elapsed: 0.033 s
% 3.31/0.94 % (5379)Instructions burned: 70 (million)
% 3.31/0.94 % (5379)------------------------------
% 3.31/0.94 % (5379)------------------------------
% 3.53/0.97 % (5384)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)
% 3.53/0.97 % (5385)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.53/1.00 % (5386)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.53/1.01 % (5387)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.67/1.04 % (5389)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 (2994ds/9902Mi)
% 3.67/1.05 % (5388)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.67/1.07 % (5390)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)
% 5.75/1.11 % (5281)Instruction limit reached!
% 5.75/1.11 % (5281)------------------------------
% 5.75/1.11 % (5281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.11 % (5281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.11 % (5281)Termination reason: Unknown
% 5.75/1.11 % (5281)Termination phase: Saturation
% 5.75/1.11
% 5.75/1.11 % (5281)Memory used [KB]: 2302
% 5.75/1.11 % (5281)Time elapsed: 0.688 s
% 5.75/1.11 % (5281)Instructions burned: 499 (million)
% 5.75/1.11 % (5281)------------------------------
% 5.75/1.11 % (5281)------------------------------
% 5.75/1.11 % (5384)Instruction limit reached!
% 5.75/1.11 % (5384)------------------------------
% 5.75/1.11 % (5384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.13 % (5384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.13 % (5384)Termination reason: Unknown
% 5.75/1.13 % (5384)Termination phase: Saturation
% 5.75/1.13
% 5.75/1.13 % (5384)Memory used [KB]: 6524
% 5.75/1.13 % (5384)Time elapsed: 0.234 s
% 5.75/1.13 % (5384)Instructions burned: 90 (million)
% 5.75/1.13 % (5384)------------------------------
% 5.75/1.13 % (5384)------------------------------
% 5.75/1.14 % (5288)Instruction limit reached!
% 5.75/1.14 % (5288)------------------------------
% 5.75/1.14 % (5288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.75/1.14 % (5288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.75/1.14 % (5288)Termination reason: Unknown
% 5.75/1.14 % (5288)Termination phase: Saturation
% 5.75/1.14
% 5.75/1.14 % (5288)Memory used [KB]: 9594
% 5.75/1.14 % (5288)Time elapsed: 0.746 s
% 5.75/1.14 % (5288)Instructions burned: 355 (million)
% 5.75/1.14 % (5288)------------------------------
% 5.75/1.14 % (5288)------------------------------
% 6.19/1.16 % (5283)Instruction limit reached!
% 6.19/1.16 % (5283)------------------------------
% 6.19/1.16 % (5283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.16 % (5283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.16 % (5283)Termination reason: Unknown
% 6.19/1.16 % (5283)Termination phase: Saturation
% 6.19/1.16
% 6.19/1.16 % (5283)Memory used [KB]: 9850
% 6.19/1.16 % (5283)Time elapsed: 0.752 s
% 6.19/1.16 % (5283)Instructions burned: 482 (million)
% 6.19/1.16 % (5283)------------------------------
% 6.19/1.16 % (5283)------------------------------
% 6.41/1.21 % (5391)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.84/1.26 % (5392)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 7.04/1.27 % (5393)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)
% 7.04/1.29 % (5282)Instruction limit reached!
% 7.04/1.29 % (5282)------------------------------
% 7.04/1.29 % (5282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.04/1.30 % (5394)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.04/1.30 % (5282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.04/1.30 % (5282)Termination reason: Unknown
% 7.04/1.30 % (5282)Termination phase: Saturation
% 7.04/1.30
% 7.04/1.30 % (5282)Memory used [KB]: 10106
% 7.04/1.30 % (5282)Time elapsed: 0.862 s
% 7.04/1.30 % (5282)Instructions burned: 467 (million)
% 7.04/1.30 % (5282)------------------------------
% 7.04/1.30 % (5282)------------------------------
% 7.04/1.31 % (5287)Instruction limit reached!
% 7.04/1.31 % (5287)------------------------------
% 7.04/1.31 % (5287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.04/1.32 % (5287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.04/1.32 % (5287)Termination reason: Unknown
% 7.04/1.32 % (5287)Termination phase: Saturation
% 7.04/1.32
% 7.04/1.32 % (5287)Memory used [KB]: 11129
% 7.04/1.32 % (5287)Time elapsed: 0.912 s
% 7.04/1.32 % (5287)Instructions burned: 440 (million)
% 7.04/1.32 % (5287)------------------------------
% 7.04/1.32 % (5287)------------------------------
% 7.04/1.33 % (5358)Instruction limit reached!
% 7.04/1.33 % (5358)------------------------------
% 7.04/1.33 % (5358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.04/1.33 % (5358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.04/1.33 % (5358)Termination reason: Unknown
% 7.04/1.33 % (5358)Termination phase: Saturation
% 7.04/1.33
% 7.04/1.33 % (5358)Memory used [KB]: 8059
% 7.04/1.33 % (5358)Time elapsed: 0.777 s
% 7.04/1.33 % (5358)Instructions burned: 388 (million)
% 7.04/1.33 % (5358)------------------------------
% 7.04/1.33 % (5358)------------------------------
% 7.54/1.35 % (5284)Instruction limit reached!
% 7.54/1.35 % (5284)------------------------------
% 7.54/1.35 % (5284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.54/1.36 % (5284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.54/1.36 % (5284)Termination reason: Unknown
% 7.54/1.36 % (5284)Termination phase: Saturation
% 7.54/1.36
% 7.54/1.36 % (5284)Memory used [KB]: 11001
% 7.54/1.36 % (5284)Time elapsed: 0.954 s
% 7.54/1.36 % (5284)Instructions burned: 500 (million)
% 7.54/1.36 % (5284)------------------------------
% 7.54/1.36 % (5284)------------------------------
% 7.81/1.40 % (5393)Instruction limit reached!
% 7.81/1.40 % (5393)------------------------------
% 7.81/1.40 % (5393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.81/1.41 % (5393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.81/1.41 % (5393)Termination reason: Unknown
% 7.81/1.41 % (5393)Termination phase: Saturation
% 7.81/1.41
% 7.81/1.41 % (5393)Memory used [KB]: 6268
% 7.81/1.41 % (5393)Time elapsed: 0.226 s
% 7.81/1.41 % (5393)Instructions burned: 90 (million)
% 7.81/1.41 % (5393)------------------------------
% 7.81/1.41 % (5393)------------------------------
% 7.81/1.43 % (5395)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 (2990ds/4958Mi)
% 8.29/1.44 % (5396)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.29/1.46 % (5397)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/32293Mi)
% 8.45/1.48 % (5398)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/37001Mi)
% 8.45/1.49 % (5368)Instruction limit reached!
% 8.45/1.49 % (5368)------------------------------
% 8.45/1.49 % (5368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.45/1.49 % (5368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.45/1.49 % (5368)Termination reason: Unknown
% 8.45/1.49 % (5368)Termination phase: Saturation
% 8.45/1.49
% 8.45/1.49 % (5368)Memory used [KB]: 2686
% 8.45/1.49 % (5368)Time elapsed: 0.877 s
% 8.45/1.49 % (5368)Instructions burned: 655 (million)
% 8.45/1.49 % (5368)------------------------------
% 8.45/1.49 % (5368)------------------------------
% 8.45/1.51 % (5399)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/10187Mi)
% 8.95/1.62 % (5400)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/29337Mi)
% 10.48/1.70 % (5375)First to succeed.
% 10.48/1.70 % (5375)Refutation found. Thanks to Tanya!
% 10.48/1.70 % SZS status Theorem for theBenchmark
% 10.48/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 10.48/1.71 % (5375)------------------------------
% 10.48/1.71 % (5375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.48/1.71 % (5375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.48/1.71 % (5375)Termination reason: Refutation
% 10.48/1.71
% 10.48/1.71 % (5375)Memory used [KB]: 3965
% 10.48/1.71 % (5375)Time elapsed: 1.026 s
% 10.48/1.71 % (5375)Instructions burned: 712 (million)
% 10.48/1.71 % (5375)------------------------------
% 10.48/1.71 % (5375)------------------------------
% 10.48/1.71 % (5254)Success in time 1.353 s
%------------------------------------------------------------------------------