TSTP Solution File: MSC010+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 : Sun May 5 07:59:37 EDT 2024
% Result : Theorem 0.76s 0.92s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 47
% Syntax : Number of formulae : 336 ( 28 unt; 0 def)
% Number of atoms : 3023 ( 505 equ)
% Maximal formula atoms : 68 ( 8 avg)
% Number of connectives : 3913 (1226 ~;1795 |; 760 &)
% ( 24 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 34 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 446 ( 318 !; 128 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[f176,f185,f228,f240,f252,f264,f276,f299,f306,f309,f313,f338,f341,f344,f347,f350,f410,f417,f424,f431,f484,f494,f517,f523,f528]) ).
fof(f528,plain,
~ spl31_8,
inference(avatar_split_clause,[],[f527,f206]) ).
fof(f206,plain,
( spl31_8
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f527,plain,
~ sP5,
inference(subsumption_resolution,[],[f526,f104]) ).
fof(f104,plain,
( leq(n0,sK17)
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( init != a_select3(q_ds1_filter_init,sK17,sK18)
& leq(sK18,n5)
& leq(sK17,n5)
& leq(n0,sK18)
& leq(n0,sK17) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f37,f38]) ).
fof(f38,plain,
( ? [X0,X1] :
( init != a_select3(q_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(q_ds1_filter_init,sK17,sK18)
& leq(sK18,n5)
& leq(sK17,n5)
& leq(n0,sK18)
& leq(n0,sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X0,X1] :
( init != a_select3(q_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP5 ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
( ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP5 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f526,plain,
( ~ sP5
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f525,f105]) ).
fof(f105,plain,
( leq(n0,sK18)
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f525,plain,
( ~ sP5
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f524,f106]) ).
fof(f106,plain,
( leq(sK17,n5)
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f524,plain,
( ~ sP5
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f381,f107]) ).
fof(f107,plain,
( leq(sK18,n5)
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f381,plain,
( ~ sP5
| ~ leq(sK18,n5)
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(trivial_inequality_removal,[],[f380]) ).
fof(f380,plain,
( init != init
| ~ sP5
| ~ leq(sK18,n5)
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(superposition,[],[f108,f74]) ).
fof(f74,plain,
! [X14,X15] :
( init = a_select3(q_ds1_filter_init,X14,X15)
| ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK10)
& leq(sK10,pv64)
& pv63 = sK9
& pv64 != sK10
& leq(sK10,n5)
& leq(sK9,n5)
& leq(n0,sK10)
& leq(n0,sK9)
& ! [X2] :
( ! [X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3) )
| ~ leq(X2,pred(pv63))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv63,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(id_ds1_filter_init,X6,X7)
| ~ gt(pv64,X7)
| pv63 != X6
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(pminus_ds1_filter_init,X8,X9)
| ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(xhatmin_ds1_filter_init,X10,X11)
| ~ leq(X11,n0)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(r_ds1_filter_init,X12,X13)
| ~ leq(X13,n2)
| ~ leq(X12,n2)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(q_ds1_filter_init,X14,X15)
| ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(dv_ds1_filter_init,X16,X17)
| ~ leq(X17,n0)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(phi_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& ! [X20,X21] :
( init = a_select3(h_ds1_filter_init,X20,X21)
| ~ leq(X21,n5)
| ~ leq(X20,n2)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,pv64)
& pv63 = X0
& pv64 != X1
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(id_ds1_filter_init,sK9,sK10)
& leq(sK10,pv64)
& pv63 = sK9
& pv64 != sK10
& leq(sK10,n5)
& leq(sK9,n5)
& leq(n0,sK10)
& leq(n0,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,pv64)
& pv63 = X0
& pv64 != X1
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2] :
( ! [X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3) )
| ~ leq(X2,pred(pv63))
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv63,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(id_ds1_filter_init,X6,X7)
| ~ gt(pv64,X7)
| pv63 != X6
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(pminus_ds1_filter_init,X8,X9)
| ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(xhatmin_ds1_filter_init,X10,X11)
| ~ leq(X11,n0)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(r_ds1_filter_init,X12,X13)
| ~ leq(X13,n2)
| ~ leq(X12,n2)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(q_ds1_filter_init,X14,X15)
| ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(dv_ds1_filter_init,X16,X17)
| ~ leq(X17,n0)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(phi_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& ! [X20,X21] :
( init = a_select3(h_ds1_filter_init,X20,X21)
| ~ leq(X21,n5)
| ~ leq(X20,n2)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& leq(X21,pv64)
& pv63 = X20
& pv64 != X21
& leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
& ! [X0] :
( ! [X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1) )
| ~ leq(X0,pred(pv63))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ gt(pv63,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv64,X5)
| pv63 != X4
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(pminus_ds1_filter_init,X6,X7)
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(xhatmin_ds1_filter_init,X8,X9)
| ~ leq(X9,n0)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(q_ds1_filter_init,X12,X13)
| ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(dv_ds1_filter_init,X14,X15)
| ~ leq(X15,n0)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(phi_ds1_filter_init,X16,X17)
| ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(h_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n2)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
( ? [X20,X21] :
( init != a_select3(id_ds1_filter_init,X20,X21)
& leq(X21,pv64)
& pv63 = X20
& pv64 != X21
& leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
& ! [X0] :
( ! [X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,n5)
| ~ leq(n0,X1) )
| ~ leq(X0,pred(pv63))
| ~ leq(n0,X0) )
& ! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ gt(pv63,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv64,X5)
| pv63 != X4
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( init = a_select3(pminus_ds1_filter_init,X6,X7)
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) )
& ! [X8,X9] :
( init = a_select3(xhatmin_ds1_filter_init,X8,X9)
| ~ leq(X9,n0)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) )
& ! [X10,X11] :
( init = a_select3(r_ds1_filter_init,X10,X11)
| ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10) )
& ! [X12,X13] :
( init = a_select3(q_ds1_filter_init,X12,X13)
| ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12) )
& ! [X14,X15] :
( init = a_select3(dv_ds1_filter_init,X14,X15)
| ~ leq(X15,n0)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14) )
& ! [X16,X17] :
( init = a_select3(phi_ds1_filter_init,X16,X17)
| ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) )
& ! [X18,X19] :
( init = a_select3(h_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n2)
| ~ leq(n0,X19)
| ~ leq(n0,X18) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ~ ( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AIeQ6m88vC/Vampire---4.8_27239',n91) ).
fof(f108,plain,
( init != a_select3(q_ds1_filter_init,sK17,sK18)
| ~ sP5 ),
inference(cnf_transformation,[],[f39]) ).
fof(f523,plain,
~ spl31_7,
inference(avatar_split_clause,[],[f522,f202]) ).
fof(f202,plain,
( spl31_7
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f522,plain,
~ sP4,
inference(subsumption_resolution,[],[f521,f109]) ).
fof(f109,plain,
( leq(n0,sK19)
| ~ sP4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( init != a_select3(dv_ds1_filter_init,sK19,sK20)
& leq(sK20,n0)
& leq(sK19,n5)
& leq(n0,sK20)
& leq(n0,sK19) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f41,f42]) ).
fof(f42,plain,
( ? [X0,X1] :
( init != a_select3(dv_ds1_filter_init,X0,X1)
& leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(dv_ds1_filter_init,sK19,sK20)
& leq(sK20,n0)
& leq(sK19,n5)
& leq(n0,sK20)
& leq(n0,sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X0,X1] :
( init != a_select3(dv_ds1_filter_init,X0,X1)
& leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP4 ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP4 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f521,plain,
( ~ sP4
| ~ leq(n0,sK19) ),
inference(subsumption_resolution,[],[f520,f110]) ).
fof(f110,plain,
( leq(n0,sK20)
| ~ sP4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f520,plain,
( ~ sP4
| ~ leq(n0,sK20)
| ~ leq(n0,sK19) ),
inference(subsumption_resolution,[],[f519,f111]) ).
fof(f111,plain,
( leq(sK19,n5)
| ~ sP4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f519,plain,
( ~ sP4
| ~ leq(sK19,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,sK19) ),
inference(subsumption_resolution,[],[f357,f112]) ).
fof(f112,plain,
( leq(sK20,n0)
| ~ sP4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f357,plain,
( ~ sP4
| ~ leq(sK20,n0)
| ~ leq(sK19,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,sK19) ),
inference(trivial_inequality_removal,[],[f356]) ).
fof(f356,plain,
( init != init
| ~ sP4
| ~ leq(sK20,n0)
| ~ leq(sK19,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,sK19) ),
inference(superposition,[],[f113,f73]) ).
fof(f73,plain,
! [X16,X17] :
( init = a_select3(dv_ds1_filter_init,X16,X17)
| ~ leq(X17,n0)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) ),
inference(cnf_transformation,[],[f23]) ).
fof(f113,plain,
( init != a_select3(dv_ds1_filter_init,sK19,sK20)
| ~ sP4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f517,plain,
( ~ spl31_17
| spl31_12
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16 ),
inference(avatar_split_clause,[],[f514,f261,f249,f237,f222,f273]) ).
fof(f273,plain,
( spl31_17
<=> leq(n0,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f222,plain,
( spl31_12
<=> init = a_select3(id_ds1_filter_init,sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f237,plain,
( spl31_14
<=> leq(sK30,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f249,plain,
( spl31_15
<=> leq(n0,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f261,plain,
( spl31_16
<=> leq(sK29,pred(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f514,plain,
( ~ leq(n0,sK29)
| spl31_12
| ~ spl31_14
| ~ spl31_15
| ~ spl31_16 ),
inference(subsumption_resolution,[],[f513,f263]) ).
fof(f263,plain,
( leq(sK29,pred(sK9))
| ~ spl31_16 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f513,plain,
( ~ leq(sK29,pred(sK9))
| ~ leq(n0,sK29)
| spl31_12
| ~ spl31_14
| ~ spl31_15 ),
inference(subsumption_resolution,[],[f512,f251]) ).
fof(f251,plain,
( leq(n0,sK30)
| ~ spl31_15 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f512,plain,
( ~ leq(n0,sK30)
| ~ leq(sK29,pred(sK9))
| ~ leq(n0,sK29)
| spl31_12
| ~ spl31_14 ),
inference(subsumption_resolution,[],[f498,f239]) ).
fof(f239,plain,
( leq(sK30,n5)
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f498,plain,
( ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| ~ leq(sK29,pred(sK9))
| ~ leq(n0,sK29)
| spl31_12 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f497,plain,
( init != init
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| ~ leq(sK29,pred(sK9))
| ~ leq(n0,sK29)
| spl31_12 ),
inference(superposition,[],[f224,f142]) ).
fof(f142,plain,
! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| ~ leq(X2,pred(sK9))
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f80,f86]) ).
fof(f86,plain,
pv63 = sK9,
inference(cnf_transformation,[],[f23]) ).
fof(f80,plain,
! [X2,X3] :
( init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| ~ leq(X2,pred(pv63))
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f224,plain,
( init != a_select3(id_ds1_filter_init,sK29,sK30)
| spl31_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f494,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f493,f173,f169]) ).
fof(f169,plain,
( spl31_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f173,plain,
( spl31_2
<=> gt(sK9,sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f493,plain,
( ~ sP1
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f492,f124]) ).
fof(f124,plain,
( leq(n0,sK25)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( init != a_select3(id_ds1_filter_init,sK25,sK26)
& gt(pv63,sK25)
& leq(sK26,n5)
& leq(sK25,n5)
& leq(n0,sK26)
& leq(n0,sK25) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f53,f54]) ).
fof(f54,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& gt(pv63,X0)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(id_ds1_filter_init,sK25,sK26)
& gt(pv63,sK25)
& leq(sK26,n5)
& leq(sK25,n5)
& leq(n0,sK26)
& leq(n0,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& gt(pv63,X0)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
( ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f492,plain,
( ~ sP1
| ~ leq(n0,sK25)
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f491,f125]) ).
fof(f125,plain,
( leq(n0,sK26)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f491,plain,
( ~ sP1
| ~ leq(n0,sK26)
| ~ leq(n0,sK25)
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f490,f126]) ).
fof(f126,plain,
( leq(sK25,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f490,plain,
( ~ sP1
| ~ leq(sK25,n5)
| ~ leq(n0,sK26)
| ~ leq(n0,sK25)
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f489,f127]) ).
fof(f127,plain,
( leq(sK26,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f489,plain,
( ~ sP1
| ~ leq(sK26,n5)
| ~ leq(sK25,n5)
| ~ leq(n0,sK26)
| ~ leq(n0,sK25)
| ~ spl31_2 ),
inference(subsumption_resolution,[],[f463,f175]) ).
fof(f175,plain,
( gt(sK9,sK25)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f463,plain,
( ~ sP1
| ~ gt(sK9,sK25)
| ~ leq(sK26,n5)
| ~ leq(sK25,n5)
| ~ leq(n0,sK26)
| ~ leq(n0,sK25) ),
inference(trivial_inequality_removal,[],[f460]) ).
fof(f460,plain,
( init != init
| ~ sP1
| ~ gt(sK9,sK25)
| ~ leq(sK26,n5)
| ~ leq(sK25,n5)
| ~ leq(n0,sK26)
| ~ leq(n0,sK25) ),
inference(superposition,[],[f129,f143]) ).
fof(f143,plain,
! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(sK9,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(definition_unfolding,[],[f79,f86]) ).
fof(f79,plain,
! [X4,X5] :
( init = a_select3(id_ds1_filter_init,X4,X5)
| ~ gt(pv63,X4)
| ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f23]) ).
fof(f129,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f484,plain,
( ~ spl31_3
| spl31_19 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| ~ spl31_3
| spl31_19 ),
inference(subsumption_resolution,[],[f482,f179]) ).
fof(f179,plain,
( sP0
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl31_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f482,plain,
( ~ sP0
| spl31_19 ),
inference(resolution,[],[f294,f133]) ).
fof(f133,plain,
( leq(sK28,n5)
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( init != a_select3(id_ds1_filter_init,sK27,sK28)
& gt(pv64,sK28)
& pv63 = sK27
& leq(sK28,n5)
& leq(sK27,n5)
& leq(n0,sK28)
& leq(n0,sK27) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f57,f58]) ).
fof(f58,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& gt(pv64,X1)
& pv63 = X0
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(id_ds1_filter_init,sK27,sK28)
& gt(pv64,sK28)
& pv63 = sK27
& leq(sK28,n5)
& leq(sK27,n5)
& leq(n0,sK28)
& leq(n0,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X0,X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& gt(pv64,X1)
& pv63 = X0
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
( ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP0 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f294,plain,
( ~ leq(sK28,n5)
| spl31_19 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl31_19
<=> leq(sK28,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f431,plain,
~ spl31_13,
inference(avatar_contradiction_clause,[],[f430]) ).
fof(f430,plain,
( $false
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f429,f87]) ).
fof(f87,plain,
leq(sK10,pv64),
inference(cnf_transformation,[],[f23]) ).
fof(f429,plain,
( ~ leq(sK10,pv64)
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f428,f85]) ).
fof(f85,plain,
pv64 != sK10,
inference(cnf_transformation,[],[f23]) ).
fof(f428,plain,
( pv64 = sK10
| ~ leq(sK10,pv64)
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f427,f84]) ).
fof(f84,plain,
leq(sK10,n5),
inference(cnf_transformation,[],[f23]) ).
fof(f427,plain,
( ~ leq(sK10,n5)
| pv64 = sK10
| ~ leq(sK10,pv64)
| ~ spl31_13 ),
inference(subsumption_resolution,[],[f426,f82]) ).
fof(f82,plain,
leq(n0,sK10),
inference(cnf_transformation,[],[f23]) ).
fof(f426,plain,
( ~ leq(n0,sK10)
| ~ leq(sK10,n5)
| pv64 = sK10
| ~ leq(sK10,pv64)
| ~ spl31_13 ),
inference(trivial_inequality_removal,[],[f425]) ).
fof(f425,plain,
( init != init
| ~ leq(n0,sK10)
| ~ leq(sK10,n5)
| pv64 = sK10
| ~ leq(sK10,pv64)
| ~ spl31_13 ),
inference(superposition,[],[f88,f227]) ).
fof(f227,plain,
( ! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| pv64 = X1
| ~ leq(X1,pv64) )
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl31_13
<=> ! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| pv64 = X1
| ~ leq(X1,pv64) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f88,plain,
init != a_select3(id_ds1_filter_init,sK9,sK10),
inference(cnf_transformation,[],[f23]) ).
fof(f424,plain,
~ spl31_11,
inference(avatar_split_clause,[],[f423,f218]) ).
fof(f218,plain,
( spl31_11
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f423,plain,
~ sP8,
inference(subsumption_resolution,[],[f422,f89]) ).
fof(f89,plain,
( leq(n0,sK11)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( init != a_select3(pminus_ds1_filter_init,sK11,sK12)
& leq(sK12,n5)
& leq(sK11,n5)
& leq(n0,sK12)
& leq(n0,sK11) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( init != a_select3(pminus_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(pminus_ds1_filter_init,sK11,sK12)
& leq(sK12,n5)
& leq(sK11,n5)
& leq(n0,sK12)
& leq(n0,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X0,X1] :
( init != a_select3(pminus_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP8 ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
( ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP8 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f422,plain,
( ~ sP8
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f421,f90]) ).
fof(f90,plain,
( leq(n0,sK12)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f421,plain,
( ~ sP8
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f420,f91]) ).
fof(f91,plain,
( leq(sK11,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f420,plain,
( ~ sP8
| ~ leq(sK11,n5)
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f419,f92]) ).
fof(f92,plain,
( leq(sK12,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f419,plain,
( ~ sP8
| ~ leq(sK12,n5)
| ~ leq(sK11,n5)
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(trivial_inequality_removal,[],[f418]) ).
fof(f418,plain,
( init != init
| ~ sP8
| ~ leq(sK12,n5)
| ~ leq(sK11,n5)
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(superposition,[],[f93,f77]) ).
fof(f77,plain,
! [X8,X9] :
( init = a_select3(pminus_ds1_filter_init,X8,X9)
| ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8) ),
inference(cnf_transformation,[],[f23]) ).
fof(f93,plain,
( init != a_select3(pminus_ds1_filter_init,sK11,sK12)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f417,plain,
~ spl31_10,
inference(avatar_split_clause,[],[f416,f214]) ).
fof(f214,plain,
( spl31_10
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f416,plain,
~ sP7,
inference(subsumption_resolution,[],[f415,f94]) ).
fof(f94,plain,
( leq(n0,sK13)
| ~ sP7 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( init != a_select3(xhatmin_ds1_filter_init,sK13,sK14)
& leq(sK14,n0)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f29,f30]) ).
fof(f30,plain,
( ? [X0,X1] :
( init != a_select3(xhatmin_ds1_filter_init,X0,X1)
& leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(xhatmin_ds1_filter_init,sK13,sK14)
& leq(sK14,n0)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X0,X1] :
( init != a_select3(xhatmin_ds1_filter_init,X0,X1)
& leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP7 ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
( ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP7 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f415,plain,
( ~ sP7
| ~ leq(n0,sK13) ),
inference(subsumption_resolution,[],[f414,f95]) ).
fof(f95,plain,
( leq(n0,sK14)
| ~ sP7 ),
inference(cnf_transformation,[],[f31]) ).
fof(f414,plain,
( ~ sP7
| ~ leq(n0,sK14)
| ~ leq(n0,sK13) ),
inference(subsumption_resolution,[],[f413,f96]) ).
fof(f96,plain,
( leq(sK13,n5)
| ~ sP7 ),
inference(cnf_transformation,[],[f31]) ).
fof(f413,plain,
( ~ sP7
| ~ leq(sK13,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,sK13) ),
inference(subsumption_resolution,[],[f412,f97]) ).
fof(f97,plain,
( leq(sK14,n0)
| ~ sP7 ),
inference(cnf_transformation,[],[f31]) ).
fof(f412,plain,
( ~ sP7
| ~ leq(sK14,n0)
| ~ leq(sK13,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,sK13) ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f411,plain,
( init != init
| ~ sP7
| ~ leq(sK14,n0)
| ~ leq(sK13,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,sK13) ),
inference(superposition,[],[f98,f76]) ).
fof(f76,plain,
! [X10,X11] :
( init = a_select3(xhatmin_ds1_filter_init,X10,X11)
| ~ leq(X11,n0)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f23]) ).
fof(f98,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK13,sK14)
| ~ sP7 ),
inference(cnf_transformation,[],[f31]) ).
fof(f410,plain,
~ spl31_9,
inference(avatar_split_clause,[],[f409,f210]) ).
fof(f210,plain,
( spl31_9
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f409,plain,
~ sP6,
inference(subsumption_resolution,[],[f408,f99]) ).
fof(f99,plain,
( leq(n0,sK15)
| ~ sP6 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( init != a_select3(r_ds1_filter_init,sK15,sK16)
& leq(sK16,n2)
& leq(sK15,n2)
& leq(n0,sK16)
& leq(n0,sK15) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( init != a_select3(r_ds1_filter_init,X0,X1)
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(r_ds1_filter_init,sK15,sK16)
& leq(sK16,n2)
& leq(sK15,n2)
& leq(n0,sK16)
& leq(n0,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X0,X1] :
( init != a_select3(r_ds1_filter_init,X0,X1)
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP6 ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f408,plain,
( ~ sP6
| ~ leq(n0,sK15) ),
inference(subsumption_resolution,[],[f407,f100]) ).
fof(f100,plain,
( leq(n0,sK16)
| ~ sP6 ),
inference(cnf_transformation,[],[f35]) ).
fof(f407,plain,
( ~ sP6
| ~ leq(n0,sK16)
| ~ leq(n0,sK15) ),
inference(subsumption_resolution,[],[f406,f101]) ).
fof(f101,plain,
( leq(sK15,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f35]) ).
fof(f406,plain,
( ~ sP6
| ~ leq(sK15,n2)
| ~ leq(n0,sK16)
| ~ leq(n0,sK15) ),
inference(subsumption_resolution,[],[f405,f102]) ).
fof(f102,plain,
( leq(sK16,n2)
| ~ sP6 ),
inference(cnf_transformation,[],[f35]) ).
fof(f405,plain,
( ~ sP6
| ~ leq(sK16,n2)
| ~ leq(sK15,n2)
| ~ leq(n0,sK16)
| ~ leq(n0,sK15) ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( init != init
| ~ sP6
| ~ leq(sK16,n2)
| ~ leq(sK15,n2)
| ~ leq(n0,sK16)
| ~ leq(n0,sK15) ),
inference(superposition,[],[f103,f75]) ).
fof(f75,plain,
! [X12,X13] :
( init = a_select3(r_ds1_filter_init,X12,X13)
| ~ leq(X13,n2)
| ~ leq(X12,n2)
| ~ leq(n0,X13)
| ~ leq(n0,X12) ),
inference(cnf_transformation,[],[f23]) ).
fof(f103,plain,
( init != a_select3(r_ds1_filter_init,sK15,sK16)
| ~ sP6 ),
inference(cnf_transformation,[],[f35]) ).
fof(f350,plain,
( ~ spl31_6
| spl31_24 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl31_6
| spl31_24 ),
inference(subsumption_resolution,[],[f348,f200]) ).
fof(f200,plain,
( sP3
| ~ spl31_6 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl31_6
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f348,plain,
( ~ sP3
| spl31_24 ),
inference(resolution,[],[f333,f116]) ).
fof(f116,plain,
( leq(sK21,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( init != a_select3(phi_ds1_filter_init,sK21,sK22)
& leq(sK22,n5)
& leq(sK21,n5)
& leq(n0,sK22)
& leq(n0,sK21) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(phi_ds1_filter_init,sK21,sK22)
& leq(sK22,n5)
& leq(sK21,n5)
& leq(n0,sK22)
& leq(n0,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X0,X1] :
( init != a_select3(phi_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP3 ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
( ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP3 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f333,plain,
( ~ leq(sK21,n5)
| spl31_24 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl31_24
<=> leq(sK21,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_24])]) ).
fof(f347,plain,
( ~ spl31_6
| spl31_23 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| ~ spl31_6
| spl31_23 ),
inference(subsumption_resolution,[],[f345,f200]) ).
fof(f345,plain,
( ~ sP3
| spl31_23 ),
inference(resolution,[],[f329,f115]) ).
fof(f115,plain,
( leq(n0,sK22)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f329,plain,
( ~ leq(n0,sK22)
| spl31_23 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl31_23
<=> leq(n0,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_23])]) ).
fof(f344,plain,
( ~ spl31_6
| spl31_25 ),
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| ~ spl31_6
| spl31_25 ),
inference(subsumption_resolution,[],[f342,f200]) ).
fof(f342,plain,
( ~ sP3
| spl31_25 ),
inference(resolution,[],[f337,f117]) ).
fof(f117,plain,
( leq(sK22,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f337,plain,
( ~ leq(sK22,n5)
| spl31_25 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl31_25
<=> leq(sK22,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f341,plain,
( ~ spl31_6
| spl31_22 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl31_6
| spl31_22 ),
inference(subsumption_resolution,[],[f339,f200]) ).
fof(f339,plain,
( ~ sP3
| spl31_22 ),
inference(resolution,[],[f325,f114]) ).
fof(f114,plain,
( leq(n0,sK21)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f325,plain,
( ~ leq(n0,sK21)
| spl31_22 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl31_22
<=> leq(n0,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_22])]) ).
fof(f338,plain,
( ~ spl31_22
| ~ spl31_23
| ~ spl31_24
| ~ spl31_25
| ~ spl31_6 ),
inference(avatar_split_clause,[],[f321,f198,f335,f331,f327,f323]) ).
fof(f321,plain,
( ~ leq(sK22,n5)
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21)
| ~ spl31_6 ),
inference(subsumption_resolution,[],[f320,f200]) ).
fof(f320,plain,
( ~ sP3
| ~ leq(sK22,n5)
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(trivial_inequality_removal,[],[f319]) ).
fof(f319,plain,
( init != init
| ~ sP3
| ~ leq(sK22,n5)
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(superposition,[],[f118,f72]) ).
fof(f72,plain,
! [X18,X19] :
( init = a_select3(phi_ds1_filter_init,X18,X19)
| ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18) ),
inference(cnf_transformation,[],[f23]) ).
fof(f118,plain,
( init != a_select3(phi_ds1_filter_init,sK21,sK22)
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f313,plain,
( ~ spl31_3
| spl31_20 ),
inference(avatar_split_clause,[],[f310,f296,f178]) ).
fof(f296,plain,
( spl31_20
<=> gt(pv64,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f310,plain,
( ~ sP0
| spl31_20 ),
inference(resolution,[],[f298,f135]) ).
fof(f135,plain,
( gt(pv64,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f298,plain,
( ~ gt(pv64,sK28)
| spl31_20 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f309,plain,
( ~ spl31_3
| spl31_18 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| ~ spl31_3
| spl31_18 ),
inference(subsumption_resolution,[],[f307,f179]) ).
fof(f307,plain,
( ~ sP0
| spl31_18 ),
inference(resolution,[],[f290,f131]) ).
fof(f131,plain,
( leq(n0,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f290,plain,
( ~ leq(n0,sK28)
| spl31_18 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl31_18
<=> leq(n0,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f306,plain,
~ spl31_5,
inference(avatar_split_clause,[],[f305,f194]) ).
fof(f194,plain,
( spl31_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f305,plain,
~ sP2,
inference(subsumption_resolution,[],[f304,f119]) ).
fof(f119,plain,
( leq(n0,sK23)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( init != a_select3(h_ds1_filter_init,sK23,sK24)
& leq(sK24,n5)
& leq(sK23,n2)
& leq(n0,sK24)
& leq(n0,sK23) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f49,f50]) ).
fof(f50,plain,
( ? [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) != init
& leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(h_ds1_filter_init,sK23,sK24)
& leq(sK24,n5)
& leq(sK23,n2)
& leq(n0,sK24)
& leq(n0,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ? [X0,X1] :
( a_select3(h_ds1_filter_init,X0,X1) != init
& leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP2 ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
( ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP2 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f304,plain,
( ~ sP2
| ~ leq(n0,sK23) ),
inference(subsumption_resolution,[],[f303,f120]) ).
fof(f120,plain,
( leq(n0,sK24)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f303,plain,
( ~ sP2
| ~ leq(n0,sK24)
| ~ leq(n0,sK23) ),
inference(subsumption_resolution,[],[f302,f121]) ).
fof(f121,plain,
( leq(sK23,n2)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f302,plain,
( ~ sP2
| ~ leq(sK23,n2)
| ~ leq(n0,sK24)
| ~ leq(n0,sK23) ),
inference(subsumption_resolution,[],[f301,f122]) ).
fof(f122,plain,
( leq(sK24,n5)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f301,plain,
( ~ sP2
| ~ leq(sK24,n5)
| ~ leq(sK23,n2)
| ~ leq(n0,sK24)
| ~ leq(n0,sK23) ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( init != init
| ~ sP2
| ~ leq(sK24,n5)
| ~ leq(sK23,n2)
| ~ leq(n0,sK24)
| ~ leq(n0,sK23) ),
inference(superposition,[],[f123,f71]) ).
fof(f71,plain,
! [X21,X20] :
( init = a_select3(h_ds1_filter_init,X20,X21)
| ~ leq(X21,n5)
| ~ leq(X20,n2)
| ~ leq(n0,X21)
| ~ leq(n0,X20) ),
inference(cnf_transformation,[],[f23]) ).
fof(f123,plain,
( init != a_select3(h_ds1_filter_init,sK23,sK24)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f299,plain,
( ~ spl31_18
| ~ spl31_19
| ~ spl31_20
| ~ spl31_3
| ~ spl31_4 ),
inference(avatar_split_clause,[],[f283,f182,f178,f296,f292,f288]) ).
fof(f182,plain,
( spl31_4
<=> sK9 = sK27 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f283,plain,
( ~ gt(pv64,sK28)
| ~ leq(sK28,n5)
| ~ leq(n0,sK28)
| ~ spl31_3
| ~ spl31_4 ),
inference(trivial_inequality_removal,[],[f282]) ).
fof(f282,plain,
( init != init
| ~ gt(pv64,sK28)
| ~ leq(sK28,n5)
| ~ leq(n0,sK28)
| ~ spl31_3
| ~ spl31_4 ),
inference(superposition,[],[f280,f167]) ).
fof(f167,plain,
! [X7] :
( init = a_select3(id_ds1_filter_init,sK9,X7)
| ~ gt(pv64,X7)
| ~ leq(X7,n5)
| ~ leq(n0,X7) ),
inference(subsumption_resolution,[],[f166,f81]) ).
fof(f81,plain,
leq(n0,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f166,plain,
! [X7] :
( init = a_select3(id_ds1_filter_init,sK9,X7)
| ~ gt(pv64,X7)
| ~ leq(X7,n5)
| ~ leq(n0,X7)
| ~ leq(n0,sK9) ),
inference(subsumption_resolution,[],[f155,f83]) ).
fof(f83,plain,
leq(sK9,n5),
inference(cnf_transformation,[],[f23]) ).
fof(f155,plain,
! [X7] :
( init = a_select3(id_ds1_filter_init,sK9,X7)
| ~ gt(pv64,X7)
| ~ leq(X7,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X7)
| ~ leq(n0,sK9) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X6,X7] :
( init = a_select3(id_ds1_filter_init,X6,X7)
| ~ gt(pv64,X7)
| sK9 != X6
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(definition_unfolding,[],[f78,f86]) ).
fof(f78,plain,
! [X6,X7] :
( init = a_select3(id_ds1_filter_init,X6,X7)
| ~ gt(pv64,X7)
| pv63 != X6
| ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f23]) ).
fof(f280,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK28)
| ~ spl31_3
| ~ spl31_4 ),
inference(subsumption_resolution,[],[f279,f179]) ).
fof(f279,plain,
( init != a_select3(id_ds1_filter_init,sK9,sK28)
| ~ sP0
| ~ spl31_4 ),
inference(superposition,[],[f136,f184]) ).
fof(f184,plain,
( sK9 = sK27
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f136,plain,
( init != a_select3(id_ds1_filter_init,sK27,sK28)
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f276,plain,
( spl31_5
| spl31_6
| spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_3
| spl31_1
| spl31_17
| spl31_13 ),
inference(avatar_split_clause,[],[f271,f226,f273,f169,f178,f218,f214,f210,f206,f202,f198,f194]) ).
fof(f271,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f270,f147]) ).
fof(f147,plain,
pv64 != sK9,
inference(definition_unfolding,[],[f64,f86]) ).
fof(f64,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f23]) ).
fof(f270,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f269,f65]) ).
fof(f65,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f23]) ).
fof(f269,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f268,f67]) ).
fof(f67,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f23]) ).
fof(f268,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f267,f68]) ).
fof(f68,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f23]) ).
fof(f267,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f266,f70]) ).
fof(f70,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f23]) ).
fof(f266,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f265,f81]) ).
fof(f265,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f161,f83]) ).
fof(f161,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(duplicate_literal_removal,[],[f160]) ).
fof(f160,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(equality_resolution,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| sK9 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(definition_unfolding,[],[f137,f86,f86,f86,f86]) ).
fof(f137,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
| ( init != a_select3(id_ds1_filter_init,sK29,sK30)
& leq(sK30,n5)
& leq(n0,sK30)
& leq(sK29,pred(pv63))
& leq(n0,sK29) )
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f60,f62,f61]) ).
fof(f61,plain,
( ? [X2] :
( ? [X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& leq(X3,n5)
& leq(n0,X3) )
& leq(X2,pred(pv63))
& leq(n0,X2) )
=> ( ? [X3] :
( init != a_select3(id_ds1_filter_init,sK29,X3)
& leq(X3,n5)
& leq(n0,X3) )
& leq(sK29,pred(pv63))
& leq(n0,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X3] :
( init != a_select3(id_ds1_filter_init,sK29,X3)
& leq(X3,n5)
& leq(n0,X3) )
=> ( init != a_select3(id_ds1_filter_init,sK29,sK30)
& leq(sK30,n5)
& leq(n0,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
| ? [X2] :
( ? [X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& leq(X3,n5)
& leq(n0,X3) )
& leq(X2,pred(pv63))
& leq(n0,X2) )
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(X21,pv64)
| pv63 != X20
| pv64 = X21
| ~ leq(X21,n5)
| ~ leq(X20,n5)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(n0,X1) )
& leq(X0,pred(pv63))
& leq(n0,X0) )
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(definition_folding,[],[f10,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f10,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(X21,pv64)
| pv63 != X20
| pv64 = X21
| ~ leq(X21,n5)
| ~ leq(X20,n5)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(n0,X1) )
& leq(X0,pred(pv63))
& leq(n0,X0) )
| ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
( ! [X20,X21] :
( init = a_select3(id_ds1_filter_init,X20,X21)
| ~ leq(X21,pv64)
| pv63 != X20
| pv64 = X21
| ~ leq(X21,n5)
| ~ leq(X20,n5)
| ~ leq(n0,X21)
| ~ leq(n0,X20) )
| ? [X0] :
( ? [X1] :
( init != a_select3(id_ds1_filter_init,X0,X1)
& leq(X1,n5)
& leq(n0,X1) )
& leq(X0,pred(pv63))
& leq(n0,X0) )
| ? [X2,X3] :
( init != a_select3(id_ds1_filter_init,X2,X3)
& gt(pv63,X2)
& leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
| ? [X4,X5] :
( init != a_select3(id_ds1_filter_init,X4,X5)
& gt(pv64,X5)
& pv63 = X4
& leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
| ? [X6,X7] :
( init != a_select3(pminus_ds1_filter_init,X6,X7)
& leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( init != a_select3(xhatmin_ds1_filter_init,X8,X9)
& leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( init != a_select3(r_ds1_filter_init,X10,X11)
& leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
| ? [X12,X13] :
( init != a_select3(q_ds1_filter_init,X12,X13)
& leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
| ? [X14,X15] :
( init != a_select3(dv_ds1_filter_init,X14,X15)
& leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
| ? [X16,X17] :
( init != a_select3(phi_ds1_filter_init,X16,X17)
& leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
| ? [X18,X19] :
( init != a_select3(h_ds1_filter_init,X18,X19)
& leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
( ( ! [X0] :
( ( leq(X0,pred(pv63))
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n5)
& leq(n0,X1) )
=> init = a_select3(id_ds1_filter_init,X0,X1) ) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> ( gt(pv63,X2)
=> init = a_select3(id_ds1_filter_init,X2,X3) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( gt(pv64,X5)
& pv63 = X4 )
=> init = a_select3(id_ds1_filter_init,X4,X5) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(pminus_ds1_filter_init,X6,X7) )
& ! [X8,X9] :
( ( leq(X9,n0)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(xhatmin_ds1_filter_init,X8,X9) )
& ! [X10,X11] :
( ( leq(X11,n2)
& leq(X10,n2)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(q_ds1_filter_init,X12,X13) )
& ! [X14,X15] :
( ( leq(X15,n0)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> init = a_select3(dv_ds1_filter_init,X14,X15) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> init = a_select3(phi_ds1_filter_init,X16,X17) )
& ! [X18,X19] :
( ( leq(X19,n5)
& leq(X18,n2)
& leq(n0,X19)
& leq(n0,X18) )
=> init = a_select3(h_ds1_filter_init,X18,X19) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> init = a_select3(id_ds1_filter_init,X18,X19) ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> init = a_select3(id_ds1_filter_init,X16,X17) ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& pv63 = X14 )
=> init = a_select3(id_ds1_filter_init,X14,X15) ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> init = a_select3(pminus_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> init = a_select3(xhatmin_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> init = a_select3(r_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> init = a_select3(q_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> init = a_select3(dv_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> init = a_select3(phi_ds1_filter_init,X2,X3) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(h_ds1_filter_init,X0,X1) = init )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64 )
=> ! [X20,X21] :
( ( leq(X21,n5)
& leq(X20,n5)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( leq(X21,pv64)
& pv63 = X20
& pv64 != X21 )
=> init = a_select3(id_ds1_filter_init,X20,X21) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AIeQ6m88vC/Vampire---4.8_27239',n1) ).
fof(f264,plain,
( spl31_5
| spl31_6
| spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_3
| spl31_1
| spl31_16
| spl31_13 ),
inference(avatar_split_clause,[],[f259,f226,f261,f169,f178,f218,f214,f210,f206,f202,f198,f194]) ).
fof(f259,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f258,f147]) ).
fof(f258,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f257,f65]) ).
fof(f257,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f256,f67]) ).
fof(f256,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f255,f68]) ).
fof(f255,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f254,f70]) ).
fof(f254,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f253,f81]) ).
fof(f253,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f162,f83]) ).
fof(f162,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| sK9 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(sK29,pred(sK9))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(definition_unfolding,[],[f138,f86,f86,f86,f86,f86]) ).
fof(f138,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(sK29,pred(pv63))
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(cnf_transformation,[],[f63]) ).
fof(f252,plain,
( spl31_5
| spl31_6
| spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_3
| spl31_1
| spl31_15
| spl31_13 ),
inference(avatar_split_clause,[],[f247,f226,f249,f169,f178,f218,f214,f210,f206,f202,f198,f194]) ).
fof(f247,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f246,f147]) ).
fof(f246,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f245,f65]) ).
fof(f245,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f244,f67]) ).
fof(f244,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f243,f68]) ).
fof(f243,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f242,f70]) ).
fof(f242,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f241,f81]) ).
fof(f241,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f163,f83]) ).
fof(f163,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| sK9 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(definition_unfolding,[],[f139,f86,f86,f86,f86]) ).
fof(f139,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(cnf_transformation,[],[f63]) ).
fof(f240,plain,
( spl31_5
| spl31_6
| spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_3
| spl31_1
| spl31_14
| spl31_13 ),
inference(avatar_split_clause,[],[f235,f226,f237,f169,f178,f218,f214,f210,f206,f202,f198,f194]) ).
fof(f235,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f234,f147]) ).
fof(f234,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f233,f65]) ).
fof(f233,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f232,f67]) ).
fof(f232,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f231,f68]) ).
fof(f231,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f230,f70]) ).
fof(f230,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f229,f81]) ).
fof(f229,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f164,f83]) ).
fof(f164,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| sK9 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(definition_unfolding,[],[f140,f86,f86,f86,f86]) ).
fof(f140,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| leq(sK30,n5)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(cnf_transformation,[],[f63]) ).
fof(f228,plain,
( spl31_5
| spl31_6
| spl31_7
| spl31_8
| spl31_9
| spl31_10
| spl31_11
| spl31_3
| spl31_1
| ~ spl31_12
| spl31_13 ),
inference(avatar_split_clause,[],[f192,f226,f222,f169,f178,f218,f214,f210,f206,f202,f198,f194]) ).
fof(f192,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f191,f147]) ).
fof(f191,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f190,f65]) ).
fof(f190,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f189,f67]) ).
fof(f189,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f188,f68]) ).
fof(f188,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f187,f70]) ).
fof(f187,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f186,f81]) ).
fof(f186,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f165,f83]) ).
fof(f165,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
! [X1] :
( init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(sK9,n5)
| ~ leq(n0,X1)
| ~ leq(n0,sK9)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| sK9 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(sK9,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,sK9)
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(definition_unfolding,[],[f141,f86,f86,f86,f86]) ).
fof(f141,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,X0,X1)
| ~ leq(X1,pv64)
| pv63 != X0
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(pv64,n5)
| ~ leq(pv63,n5)
| ~ leq(pv5,n998)
| ~ leq(n0,pv64)
| ~ leq(n0,pv63)
| ~ leq(n0,pv5)
| pv63 = pv64 ),
inference(cnf_transformation,[],[f63]) ).
fof(f185,plain,
( ~ spl31_3
| spl31_4 ),
inference(avatar_split_clause,[],[f149,f182,f178]) ).
fof(f149,plain,
( sK9 = sK27
| ~ sP0 ),
inference(definition_unfolding,[],[f134,f86]) ).
fof(f134,plain,
( pv63 = sK27
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f176,plain,
( ~ spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f148,f173,f169]) ).
fof(f148,plain,
( gt(sK9,sK25)
| ~ sP1 ),
inference(definition_unfolding,[],[f128,f86]) ).
fof(f128,plain,
( gt(pv63,sK25)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MSC010+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:48:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.AIeQ6m88vC/Vampire---4.8_27239
% 0.76/0.91 % (27477)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.76/0.91 % (27479)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.76/0.91 % (27480)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.76/0.91 % (27478)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.76/0.91 % (27481)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.76/0.91 % (27482)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.76/0.91 % (27483)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.76/0.91 % (27484)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.76/0.91 % (27484)Refutation not found, incomplete strategy% (27484)------------------------------
% 0.76/0.91 % (27484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (27484)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.91
% 0.76/0.91 % (27484)Memory used [KB]: 1174
% 0.76/0.91 % (27484)Time elapsed: 0.006 s
% 0.76/0.91 % (27484)Instructions burned: 10 (million)
% 0.76/0.91 % (27481)Refutation not found, incomplete strategy% (27481)------------------------------
% 0.76/0.91 % (27481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91 % (27481)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.91
% 0.76/0.91 % (27481)Memory used [KB]: 1183
% 0.76/0.91 % (27481)Time elapsed: 0.006 s
% 0.76/0.91 % (27481)Instructions burned: 11 (million)
% 0.76/0.91 % (27481)------------------------------
% 0.76/0.91 % (27481)------------------------------
% 0.76/0.91 % (27484)------------------------------
% 0.76/0.91 % (27484)------------------------------
% 0.76/0.92 % (27477)Refutation not found, incomplete strategy% (27477)------------------------------
% 0.76/0.92 % (27477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92 % (27477)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92
% 0.76/0.92 % (27477)Memory used [KB]: 1259
% 0.76/0.92 % (27477)Time elapsed: 0.008 s
% 0.76/0.92 % (27477)Instructions burned: 13 (million)
% 0.76/0.92 % (27477)------------------------------
% 0.76/0.92 % (27477)------------------------------
% 0.76/0.92 % (27478)Also succeeded, but the first one will report.
% 0.76/0.92 % (27482)First to succeed.
% 0.76/0.92 % (27485)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.76/0.92 % (27486)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.76/0.92 % (27487)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.76/0.92 % (27479)Also succeeded, but the first one will report.
% 0.76/0.92 % (27488)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.76/0.92 % (27489)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.76/0.92 % (27482)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27426"
% 0.76/0.92 % (27482)Refutation found. Thanks to Tanya!
% 0.76/0.92 % SZS status Theorem for Vampire---4
% 0.76/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.93 % (27482)------------------------------
% 0.76/0.93 % (27482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.93 % (27482)Termination reason: Refutation
% 0.76/0.93
% 0.76/0.93 % (27482)Memory used [KB]: 1242
% 0.76/0.93 % (27482)Time elapsed: 0.016 s
% 0.76/0.93 % (27482)Instructions burned: 30 (million)
% 0.76/0.93 % (27426)Success in time 0.555 s
% 0.76/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------