TSTP Solution File: MSC010+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : MSC010+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n019.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 : Mon Jun 24 11:56:52 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 23
% Syntax : Number of formulae : 319 ( 24 unt; 0 def)
% Number of atoms : 3453 ( 581 equ)
% Maximal formula atoms : 68 ( 10 avg)
% Number of connectives : 4296 (1162 ~;2266 |; 760 &)
% ( 0 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 38 con; 0-3 aty)
% Number of variables : 480 ( 352 !; 128 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f347,plain,
$false,
inference(subsumption_resolution,[],[f346,f343]) ).
fof(f343,plain,
init = a_select3(id_ds1_filter_init,sK9,sK28),
inference(subsumption_resolution,[],[f342,f335]) ).
fof(f335,plain,
leq(n0,sK28),
inference(resolution,[],[f333,f131]) ).
fof(f131,plain,
( ~ sP0
| leq(n0,sK28) ),
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(f333,plain,
sP0,
inference(subsumption_resolution,[],[f332,f323]) ).
fof(f323,plain,
( leq(n0,sK26)
| sP0 ),
inference(resolution,[],[f319,f125]) ).
fof(f125,plain,
( ~ sP1
| leq(n0,sK26) ),
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(f319,plain,
( sP1
| sP0 ),
inference(subsumption_resolution,[],[f318,f309]) ).
fof(f309,plain,
( leq(n0,sK24)
| sP0
| sP1 ),
inference(resolution,[],[f305,f120]) ).
fof(f120,plain,
( ~ sP2
| leq(n0,sK24) ),
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(f305,plain,
( sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f304,f299]) ).
fof(f299,plain,
( leq(n0,sK21)
| sP0
| sP1
| sP2 ),
inference(resolution,[],[f294,f114]) ).
fof(f114,plain,
( ~ sP3
| leq(n0,sK21) ),
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(f294,plain,
( sP3
| sP2
| sP0
| sP1 ),
inference(subsumption_resolution,[],[f293,f285]) ).
fof(f285,plain,
( leq(n0,sK19)
| sP0
| sP2
| sP3
| sP1 ),
inference(resolution,[],[f280,f109]) ).
fof(f109,plain,
( ~ sP4
| leq(n0,sK19) ),
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(f280,plain,
( sP4
| sP1
| sP0
| sP2
| sP3 ),
inference(subsumption_resolution,[],[f279,f274]) ).
fof(f274,plain,
( leq(n0,sK17)
| sP2
| sP1
| sP0
| sP4
| sP3 ),
inference(resolution,[],[f269,f104]) ).
fof(f104,plain,
( ~ sP5
| leq(n0,sK17) ),
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(f269,plain,
( sP5
| sP3
| sP2
| sP1
| sP0
| sP4 ),
inference(subsumption_resolution,[],[f268,f256]) ).
fof(f256,plain,
( leq(n0,sK15)
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5 ),
inference(resolution,[],[f251,f99]) ).
fof(f99,plain,
( ~ sP6
| leq(n0,sK15) ),
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(f251,plain,
( sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f250,f242]) ).
fof(f242,plain,
( leq(n0,sK13)
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f237,f94]) ).
fof(f94,plain,
( ~ sP7
| leq(n0,sK13) ),
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(f237,plain,
( sP7
| sP0
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(subsumption_resolution,[],[f236,f85]) ).
fof(f85,plain,
pv64 != sK10,
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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f236,plain,
( sP0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| pv64 = sK10 ),
inference(subsumption_resolution,[],[f235,f88]) ).
fof(f88,plain,
init != a_select3(id_ds1_filter_init,sK9,sK10),
inference(cnf_transformation,[],[f23]) ).
fof(f235,plain,
( sP0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| init = a_select3(id_ds1_filter_init,sK9,sK10)
| pv64 = sK10 ),
inference(subsumption_resolution,[],[f234,f82]) ).
fof(f82,plain,
leq(n0,sK10),
inference(cnf_transformation,[],[f23]) ).
fof(f234,plain,
( sP0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,sK10)
| sP1
| init = a_select3(id_ds1_filter_init,sK9,sK10)
| pv64 = sK10 ),
inference(subsumption_resolution,[],[f233,f84]) ).
fof(f84,plain,
leq(sK10,n5),
inference(cnf_transformation,[],[f23]) ).
fof(f233,plain,
( sP0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(sK10,n5)
| ~ leq(n0,sK10)
| sP1
| init = a_select3(id_ds1_filter_init,sK9,sK10)
| pv64 = sK10 ),
inference(resolution,[],[f231,f87]) ).
fof(f87,plain,
leq(sK10,pv64),
inference(cnf_transformation,[],[f23]) ).
fof(f231,plain,
! [X0] :
( ~ leq(X0,pv64)
| sP0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| sP1
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(subsumption_resolution,[],[f230,f85]) ).
fof(f230,plain,
! [X0] :
( sP1
| sP0
| pv64 = sK10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(subsumption_resolution,[],[f229,f87]) ).
fof(f229,plain,
! [X0] :
( ~ leq(sK10,pv64)
| sP1
| sP0
| pv64 = sK10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(subsumption_resolution,[],[f228,f82]) ).
fof(f228,plain,
! [X0] :
( ~ leq(n0,sK10)
| ~ leq(sK10,pv64)
| sP1
| sP0
| pv64 = sK10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(subsumption_resolution,[],[f227,f84]) ).
fof(f227,plain,
! [X0] :
( ~ leq(sK10,n5)
| ~ leq(n0,sK10)
| ~ leq(sK10,pv64)
| sP1
| sP0
| pv64 = sK10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(trivial_inequality_removal,[],[f222]) ).
fof(f222,plain,
! [X0] :
( init != init
| ~ leq(sK10,n5)
| ~ leq(n0,sK10)
| ~ leq(sK10,pv64)
| sP1
| sP0
| pv64 = sK10
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X0)
| pv64 = X0 ),
inference(superposition,[],[f88,f221]) ).
fof(f221,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,sK9,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| pv64 = X0
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X1)
| pv64 = X1 ),
inference(subsumption_resolution,[],[f220,f212]) ).
fof(f212,plain,
! [X0] :
( leq(n0,sK30)
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(resolution,[],[f208,f188]) ).
fof(f188,plain,
! [X1] :
( sP8
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK30)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f187,f147]) ).
fof(f147,plain,
pv64 != sK9,
inference(definition_unfolding,[],[f64,f86]) ).
fof(f86,plain,
pv63 = sK9,
inference(cnf_transformation,[],[f23]) ).
fof(f64,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f23]) ).
fof(f187,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,[],[f186,f65]) ).
fof(f65,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f23]) ).
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,sK30)
| sP1
| sP0
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(n0,pv5)
| pv64 = sK9 ),
inference(subsumption_resolution,[],[f185,f67]) ).
fof(f67,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f23]) ).
fof(f185,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,[],[f184,f68]) ).
fof(f68,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f23]) ).
fof(f184,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,[],[f183,f70]) ).
fof(f70,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f23]) ).
fof(f183,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,[],[f182,f81]) ).
fof(f81,plain,
leq(n0,sK9),
inference(cnf_transformation,[],[f23]) ).
fof(f182,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(f83,plain,
leq(sK9,n5),
inference(cnf_transformation,[],[f23]) ).
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(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(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(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/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f208,plain,
~ sP8,
inference(subsumption_resolution,[],[f207,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(f207,plain,
( ~ sP8
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f206,f90]) ).
fof(f90,plain,
( leq(n0,sK12)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f206,plain,
( ~ sP8
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f205,f91]) ).
fof(f91,plain,
( leq(sK11,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f205,plain,
( ~ sP8
| ~ leq(sK11,n5)
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f204,f92]) ).
fof(f92,plain,
( leq(sK12,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f27]) ).
fof(f204,plain,
( ~ sP8
| ~ leq(sK12,n5)
| ~ leq(sK11,n5)
| ~ leq(n0,sK12)
| ~ leq(n0,sK11) ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,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(f220,plain,
! [X0,X1] :
( pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(n0,sK30)
| pv64 = X1 ),
inference(subsumption_resolution,[],[f219,f213]) ).
fof(f213,plain,
! [X0] :
( leq(sK30,n5)
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(resolution,[],[f208,f181]) ).
fof(f181,plain,
! [X1] :
( sP8
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK30,n5)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f180,f147]) ).
fof(f180,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,[],[f179,f65]) ).
fof(f179,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,[],[f178,f67]) ).
fof(f178,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,[],[f177,f68]) ).
fof(f177,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,[],[f176,f70]) ).
fof(f176,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,[],[f175,f81]) ).
fof(f175,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(f219,plain,
! [X0,X1] :
( pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| pv64 = X1 ),
inference(trivial_inequality_removal,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( init != init
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| init = a_select3(id_ds1_filter_init,sK9,X1)
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| pv64 = X1 ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( init != init
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| ~ leq(X1,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(sK30,n5)
| ~ leq(n0,sK30)
| pv64 = X1 ),
inference(superposition,[],[f209,f215]) ).
fof(f215,plain,
! [X0,X1] :
( init = a_select3(id_ds1_filter_init,sK29,X1)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| pv64 = X0 ),
inference(subsumption_resolution,[],[f214,f211]) ).
fof(f211,plain,
! [X0] :
( leq(n0,sK29)
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(resolution,[],[f208,f202]) ).
fof(f202,plain,
! [X1] :
( sP8
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(n0,sK29)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f201,f147]) ).
fof(f201,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,[],[f200,f65]) ).
fof(f200,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,[],[f199,f67]) ).
fof(f199,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,[],[f198,f68]) ).
fof(f198,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,[],[f197,f70]) ).
fof(f197,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,[],[f196,f81]) ).
fof(f196,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(f214,plain,
! [X0,X1] :
( pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init = a_select3(id_ds1_filter_init,sK29,X1)
| ~ leq(n0,sK29) ),
inference(resolution,[],[f210,f142]) ).
fof(f142,plain,
! [X2,X3] :
( ~ leq(X2,pred(sK9))
| ~ leq(X3,n5)
| ~ leq(n0,X3)
| init = a_select3(id_ds1_filter_init,X2,X3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f80,f86]) ).
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(f210,plain,
! [X0] :
( leq(sK29,pred(sK9))
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(resolution,[],[f208,f195]) ).
fof(f195,plain,
! [X1] :
( sP8
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| leq(sK29,pred(sK9))
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f194,f147]) ).
fof(f194,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,[],[f193,f65]) ).
fof(f193,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,[],[f192,f67]) ).
fof(f192,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,[],[f191,f68]) ).
fof(f191,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,[],[f190,f70]) ).
fof(f190,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,[],[f189,f81]) ).
fof(f189,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(f209,plain,
! [X0] :
( init != a_select3(id_ds1_filter_init,sK29,sK30)
| pv64 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X0)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(resolution,[],[f208,f174]) ).
fof(f174,plain,
! [X1] :
( sP8
| ~ leq(X1,pv64)
| pv64 = X1
| ~ leq(X1,n5)
| ~ leq(n0,X1)
| init != a_select3(id_ds1_filter_init,sK29,sK30)
| sP1
| sP0
| init = a_select3(id_ds1_filter_init,sK9,X1)
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f173,f147]) ).
fof(f173,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,[],[f172,f65]) ).
fof(f172,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,[],[f171,f67]) ).
fof(f171,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,[],[f170,f68]) ).
fof(f170,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,[],[f169,f70]) ).
fof(f169,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,[],[f168,f81]) ).
fof(f168,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(f250,plain,
( sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| ~ leq(n0,sK13) ),
inference(subsumption_resolution,[],[f249,f240]) ).
fof(f240,plain,
( leq(sK13,n5)
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f237,f96]) ).
fof(f96,plain,
( ~ sP7
| leq(sK13,n5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f249,plain,
( sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| ~ leq(sK13,n5)
| ~ leq(n0,sK13) ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( init != init
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| ~ leq(sK13,n5)
| ~ leq(n0,sK13) ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f247,plain,
( init != init
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| sP6
| ~ leq(sK13,n5)
| ~ leq(n0,sK13) ),
inference(superposition,[],[f238,f245]) ).
fof(f245,plain,
! [X0] :
( init = a_select3(xhatmin_ds1_filter_init,X0,sK14)
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| sP6
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(subsumption_resolution,[],[f243,f241]) ).
fof(f241,plain,
( leq(n0,sK14)
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f237,f95]) ).
fof(f95,plain,
( ~ sP7
| leq(n0,sK14) ),
inference(cnf_transformation,[],[f31]) ).
fof(f243,plain,
! [X0] :
( sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0
| init = a_select3(xhatmin_ds1_filter_init,X0,sK14)
| ~ leq(X0,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,X0) ),
inference(resolution,[],[f239,f76]) ).
fof(f76,plain,
! [X10,X11] :
( ~ leq(X11,n0)
| init = a_select3(xhatmin_ds1_filter_init,X10,X11)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10) ),
inference(cnf_transformation,[],[f23]) ).
fof(f239,plain,
( leq(sK14,n0)
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f237,f97]) ).
fof(f97,plain,
( ~ sP7
| leq(sK14,n0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f238,plain,
( init != a_select3(xhatmin_ds1_filter_init,sK13,sK14)
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f237,f98]) ).
fof(f98,plain,
( ~ sP7
| init != a_select3(xhatmin_ds1_filter_init,sK13,sK14) ),
inference(cnf_transformation,[],[f31]) ).
fof(f268,plain,
( sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| ~ leq(n0,sK15) ),
inference(subsumption_resolution,[],[f267,f254]) ).
fof(f254,plain,
( leq(sK15,n2)
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5 ),
inference(resolution,[],[f251,f101]) ).
fof(f101,plain,
( ~ sP6
| leq(sK15,n2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f267,plain,
( sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| ~ leq(sK15,n2)
| ~ leq(n0,sK15) ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( init != init
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| ~ leq(sK15,n2)
| ~ leq(n0,sK15) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f265,plain,
( init != init
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| sP3
| sP2
| sP1
| sP0
| sP5
| sP4
| ~ leq(sK15,n2)
| ~ leq(n0,sK15) ),
inference(superposition,[],[f252,f259]) ).
fof(f259,plain,
! [X0] :
( init = a_select3(r_ds1_filter_init,X0,sK16)
| sP3
| sP2
| sP1
| sP0
| sP5
| sP4
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(subsumption_resolution,[],[f257,f255]) ).
fof(f255,plain,
( leq(n0,sK16)
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5 ),
inference(resolution,[],[f251,f100]) ).
fof(f100,plain,
( ~ sP6
| leq(n0,sK16) ),
inference(cnf_transformation,[],[f35]) ).
fof(f257,plain,
! [X0] :
( sP4
| sP3
| sP2
| sP1
| sP0
| sP5
| init = a_select3(r_ds1_filter_init,X0,sK16)
| ~ leq(X0,n2)
| ~ leq(n0,sK16)
| ~ leq(n0,X0) ),
inference(resolution,[],[f253,f75]) ).
fof(f75,plain,
! [X12,X13] :
( ~ leq(X13,n2)
| init = a_select3(r_ds1_filter_init,X12,X13)
| ~ leq(X12,n2)
| ~ leq(n0,X13)
| ~ leq(n0,X12) ),
inference(cnf_transformation,[],[f23]) ).
fof(f253,plain,
( leq(sK16,n2)
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5 ),
inference(resolution,[],[f251,f102]) ).
fof(f102,plain,
( ~ sP6
| leq(sK16,n2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f252,plain,
( init != a_select3(r_ds1_filter_init,sK15,sK16)
| sP4
| sP3
| sP2
| sP1
| sP0
| sP5 ),
inference(resolution,[],[f251,f103]) ).
fof(f103,plain,
( ~ sP6
| init != a_select3(r_ds1_filter_init,sK15,sK16) ),
inference(cnf_transformation,[],[f35]) ).
fof(f279,plain,
( sP2
| sP1
| sP0
| sP4
| sP3
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f278,f273]) ).
fof(f273,plain,
( leq(n0,sK18)
| sP2
| sP1
| sP0
| sP4
| sP3 ),
inference(resolution,[],[f269,f105]) ).
fof(f105,plain,
( ~ sP5
| leq(n0,sK18) ),
inference(cnf_transformation,[],[f39]) ).
fof(f278,plain,
( sP2
| sP1
| sP0
| sP4
| sP3
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f277,f272]) ).
fof(f272,plain,
( leq(sK17,n5)
| sP2
| sP1
| sP0
| sP4
| sP3 ),
inference(resolution,[],[f269,f106]) ).
fof(f106,plain,
( ~ sP5
| leq(sK17,n5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f277,plain,
( sP2
| sP1
| sP0
| sP4
| sP3
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(subsumption_resolution,[],[f276,f271]) ).
fof(f271,plain,
( leq(sK18,n5)
| sP2
| sP1
| sP0
| sP4
| sP3 ),
inference(resolution,[],[f269,f107]) ).
fof(f107,plain,
( ~ sP5
| leq(sK18,n5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f276,plain,
( sP2
| sP1
| sP0
| sP4
| sP3
| ~ leq(sK18,n5)
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(trivial_inequality_removal,[],[f275]) ).
fof(f275,plain,
( init != init
| sP2
| sP1
| sP0
| sP4
| sP3
| ~ leq(sK18,n5)
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(superposition,[],[f270,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(f270,plain,
( init != a_select3(q_ds1_filter_init,sK17,sK18)
| sP2
| sP1
| sP0
| sP4
| sP3 ),
inference(resolution,[],[f269,f108]) ).
fof(f108,plain,
( ~ sP5
| init != a_select3(q_ds1_filter_init,sK17,sK18) ),
inference(cnf_transformation,[],[f39]) ).
fof(f293,plain,
( sP0
| sP2
| sP3
| sP1
| ~ leq(n0,sK19) ),
inference(subsumption_resolution,[],[f292,f283]) ).
fof(f283,plain,
( leq(sK19,n5)
| sP0
| sP2
| sP3
| sP1 ),
inference(resolution,[],[f280,f111]) ).
fof(f111,plain,
( ~ sP4
| leq(sK19,n5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f292,plain,
( sP0
| sP2
| sP3
| sP1
| ~ leq(sK19,n5)
| ~ leq(n0,sK19) ),
inference(trivial_inequality_removal,[],[f291]) ).
fof(f291,plain,
( init != init
| sP0
| sP2
| sP3
| sP1
| ~ leq(sK19,n5)
| ~ leq(n0,sK19) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
( init != init
| sP0
| sP2
| sP3
| sP1
| sP2
| sP3
| sP1
| sP0
| ~ leq(sK19,n5)
| ~ leq(n0,sK19) ),
inference(superposition,[],[f281,f289]) ).
fof(f289,plain,
! [X0] :
( init = a_select3(dv_ds1_filter_init,X0,sK20)
| sP2
| sP3
| sP1
| sP0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(subsumption_resolution,[],[f287,f284]) ).
fof(f284,plain,
( leq(n0,sK20)
| sP0
| sP2
| sP3
| sP1 ),
inference(resolution,[],[f280,f110]) ).
fof(f110,plain,
( ~ sP4
| leq(n0,sK20) ),
inference(cnf_transformation,[],[f43]) ).
fof(f287,plain,
! [X0] :
( sP0
| sP2
| sP3
| sP1
| init = a_select3(dv_ds1_filter_init,X0,sK20)
| ~ leq(X0,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,X0) ),
inference(resolution,[],[f282,f73]) ).
fof(f73,plain,
! [X16,X17] :
( ~ leq(X17,n0)
| init = a_select3(dv_ds1_filter_init,X16,X17)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16) ),
inference(cnf_transformation,[],[f23]) ).
fof(f282,plain,
( leq(sK20,n0)
| sP0
| sP2
| sP3
| sP1 ),
inference(resolution,[],[f280,f112]) ).
fof(f112,plain,
( ~ sP4
| leq(sK20,n0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f281,plain,
( init != a_select3(dv_ds1_filter_init,sK19,sK20)
| sP0
| sP2
| sP3
| sP1 ),
inference(resolution,[],[f280,f113]) ).
fof(f113,plain,
( ~ sP4
| init != a_select3(dv_ds1_filter_init,sK19,sK20) ),
inference(cnf_transformation,[],[f43]) ).
fof(f304,plain,
( sP0
| sP1
| sP2
| ~ leq(n0,sK21) ),
inference(subsumption_resolution,[],[f303,f298]) ).
fof(f298,plain,
( leq(n0,sK22)
| sP0
| sP1
| sP2 ),
inference(resolution,[],[f294,f115]) ).
fof(f115,plain,
( ~ sP3
| leq(n0,sK22) ),
inference(cnf_transformation,[],[f47]) ).
fof(f303,plain,
( sP0
| sP1
| sP2
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(subsumption_resolution,[],[f302,f297]) ).
fof(f297,plain,
( leq(sK21,n5)
| sP0
| sP1
| sP2 ),
inference(resolution,[],[f294,f116]) ).
fof(f116,plain,
( ~ sP3
| leq(sK21,n5) ),
inference(cnf_transformation,[],[f47]) ).
fof(f302,plain,
( sP0
| sP1
| sP2
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(subsumption_resolution,[],[f301,f296]) ).
fof(f296,plain,
( leq(sK22,n5)
| sP0
| sP1
| sP2 ),
inference(resolution,[],[f294,f117]) ).
fof(f117,plain,
( ~ sP3
| leq(sK22,n5) ),
inference(cnf_transformation,[],[f47]) ).
fof(f301,plain,
( sP0
| sP1
| sP2
| ~ leq(sK22,n5)
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( init != init
| sP0
| sP1
| sP2
| ~ leq(sK22,n5)
| ~ leq(sK21,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21) ),
inference(superposition,[],[f295,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(f295,plain,
( init != a_select3(phi_ds1_filter_init,sK21,sK22)
| sP0
| sP1
| sP2 ),
inference(resolution,[],[f294,f118]) ).
fof(f118,plain,
( ~ sP3
| init != a_select3(phi_ds1_filter_init,sK21,sK22) ),
inference(cnf_transformation,[],[f47]) ).
fof(f318,plain,
( sP0
| sP1
| ~ leq(n0,sK24) ),
inference(subsumption_resolution,[],[f317,f307]) ).
fof(f307,plain,
( leq(sK24,n5)
| sP0
| sP1 ),
inference(resolution,[],[f305,f122]) ).
fof(f122,plain,
( ~ sP2
| leq(sK24,n5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f317,plain,
( sP0
| sP1
| ~ leq(sK24,n5)
| ~ leq(n0,sK24) ),
inference(trivial_inequality_removal,[],[f316]) ).
fof(f316,plain,
( init != init
| sP0
| sP1
| ~ leq(sK24,n5)
| ~ leq(n0,sK24) ),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f315,plain,
( init != init
| sP0
| sP1
| sP1
| ~ leq(sK24,n5)
| sP0
| ~ leq(n0,sK24) ),
inference(superposition,[],[f306,f314]) ).
fof(f314,plain,
! [X0] :
( init = a_select3(h_ds1_filter_init,sK23,X0)
| sP1
| ~ leq(X0,n5)
| sP0
| ~ leq(n0,X0) ),
inference(subsumption_resolution,[],[f312,f310]) ).
fof(f310,plain,
( leq(n0,sK23)
| sP0
| sP1 ),
inference(resolution,[],[f305,f119]) ).
fof(f119,plain,
( ~ sP2
| leq(n0,sK23) ),
inference(cnf_transformation,[],[f51]) ).
fof(f312,plain,
! [X0] :
( sP0
| sP1
| ~ leq(X0,n5)
| init = a_select3(h_ds1_filter_init,sK23,X0)
| ~ leq(n0,X0)
| ~ leq(n0,sK23) ),
inference(resolution,[],[f308,f71]) ).
fof(f71,plain,
! [X21,X20] :
( ~ leq(X20,n2)
| ~ leq(X21,n5)
| init = a_select3(h_ds1_filter_init,X20,X21)
| ~ leq(n0,X21)
| ~ leq(n0,X20) ),
inference(cnf_transformation,[],[f23]) ).
fof(f308,plain,
( leq(sK23,n2)
| sP0
| sP1 ),
inference(resolution,[],[f305,f121]) ).
fof(f121,plain,
( ~ sP2
| leq(sK23,n2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f306,plain,
( init != a_select3(h_ds1_filter_init,sK23,sK24)
| sP0
| sP1 ),
inference(resolution,[],[f305,f123]) ).
fof(f123,plain,
( ~ sP2
| init != a_select3(h_ds1_filter_init,sK23,sK24) ),
inference(cnf_transformation,[],[f51]) ).
fof(f332,plain,
( sP0
| ~ leq(n0,sK26) ),
inference(subsumption_resolution,[],[f331,f321]) ).
fof(f321,plain,
( leq(sK26,n5)
| sP0 ),
inference(resolution,[],[f319,f127]) ).
fof(f127,plain,
( ~ sP1
| leq(sK26,n5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f331,plain,
( sP0
| ~ leq(sK26,n5)
| ~ leq(n0,sK26) ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( init != init
| sP0
| ~ leq(sK26,n5)
| ~ leq(n0,sK26) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f329,plain,
( init != init
| sP0
| sP0
| ~ leq(sK26,n5)
| ~ leq(n0,sK26) ),
inference(superposition,[],[f320,f328]) ).
fof(f328,plain,
! [X0] :
( init = a_select3(id_ds1_filter_init,sK25,X0)
| sP0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(subsumption_resolution,[],[f327,f324]) ).
fof(f324,plain,
( leq(n0,sK25)
| sP0 ),
inference(resolution,[],[f319,f124]) ).
fof(f124,plain,
( ~ sP1
| leq(n0,sK25) ),
inference(cnf_transformation,[],[f55]) ).
fof(f327,plain,
! [X0] :
( sP0
| init = a_select3(id_ds1_filter_init,sK25,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X0)
| ~ leq(n0,sK25) ),
inference(subsumption_resolution,[],[f326,f322]) ).
fof(f322,plain,
( leq(sK25,n5)
| sP0 ),
inference(resolution,[],[f319,f126]) ).
fof(f126,plain,
( ~ sP1
| leq(sK25,n5) ),
inference(cnf_transformation,[],[f55]) ).
fof(f326,plain,
! [X0] :
( sP0
| init = a_select3(id_ds1_filter_init,sK25,X0)
| ~ leq(X0,n5)
| ~ leq(sK25,n5)
| ~ leq(n0,X0)
| ~ leq(n0,sK25) ),
inference(resolution,[],[f325,f143]) ).
fof(f143,plain,
! [X4,X5] :
( ~ gt(sK9,X4)
| init = a_select3(id_ds1_filter_init,X4,X5)
| ~ 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(f325,plain,
( gt(sK9,sK25)
| sP0 ),
inference(resolution,[],[f319,f148]) ).
fof(f148,plain,
( ~ sP1
| gt(sK9,sK25) ),
inference(definition_unfolding,[],[f128,f86]) ).
fof(f128,plain,
( gt(pv63,sK25)
| ~ sP1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f320,plain,
( init != a_select3(id_ds1_filter_init,sK25,sK26)
| sP0 ),
inference(resolution,[],[f319,f129]) ).
fof(f129,plain,
( ~ sP1
| init != a_select3(id_ds1_filter_init,sK25,sK26) ),
inference(cnf_transformation,[],[f55]) ).
fof(f342,plain,
( init = a_select3(id_ds1_filter_init,sK9,sK28)
| ~ leq(n0,sK28) ),
inference(subsumption_resolution,[],[f341,f337]) ).
fof(f337,plain,
leq(sK28,n5),
inference(resolution,[],[f333,f133]) ).
fof(f133,plain,
( ~ sP0
| leq(sK28,n5) ),
inference(cnf_transformation,[],[f59]) ).
fof(f341,plain,
( init = a_select3(id_ds1_filter_init,sK9,sK28)
| ~ leq(sK28,n5)
| ~ leq(n0,sK28) ),
inference(resolution,[],[f338,f167]) ).
fof(f167,plain,
! [X7] :
( ~ gt(pv64,X7)
| init = a_select3(id_ds1_filter_init,sK9,X7)
| ~ leq(X7,n5)
| ~ leq(n0,X7) ),
inference(subsumption_resolution,[],[f166,f81]) ).
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(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(f338,plain,
gt(pv64,sK28),
inference(resolution,[],[f333,f135]) ).
fof(f135,plain,
( ~ sP0
| gt(pv64,sK28) ),
inference(cnf_transformation,[],[f59]) ).
fof(f346,plain,
init != a_select3(id_ds1_filter_init,sK9,sK28),
inference(superposition,[],[f339,f340]) ).
fof(f340,plain,
sK9 = sK27,
inference(resolution,[],[f333,f149]) ).
fof(f149,plain,
( ~ sP0
| sK9 = sK27 ),
inference(definition_unfolding,[],[f134,f86]) ).
fof(f134,plain,
( pv63 = sK27
| ~ sP0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f339,plain,
init != a_select3(id_ds1_filter_init,sK27,sK28),
inference(resolution,[],[f333,f136]) ).
fof(f136,plain,
( ~ sP0
| init != a_select3(id_ds1_filter_init,sK27,sK28) ),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MSC010+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat Jun 22 05:46:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1855)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1859)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1860)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1858)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1854)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1857)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.41 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (1856)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.21/0.42 % (1859)Refutation not found, incomplete strategy% (1859)------------------------------
% 0.21/0.42 % (1859)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (1859)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (1859)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (1859)Memory used [KB]: 1369
% 0.21/0.42 % (1859)Time elapsed: 0.008 s
% 0.21/0.42 % (1859)Instructions burned: 11 (million)
% 0.21/0.42 % (1859)------------------------------
% 0.21/0.42 % (1859)------------------------------
% 0.21/0.42 % (1857)Refutation not found, incomplete strategy% (1857)------------------------------
% 0.21/0.42 % (1857)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42 % (1857)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42 % (1857)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (1857)Memory used [KB]: 1445
% 0.21/0.42 % (1857)Time elapsed: 0.013 s
% 0.21/0.42 % (1857)Instructions burned: 22 (million)
% 0.21/0.42 % (1857)------------------------------
% 0.21/0.42 % (1857)------------------------------
% 0.21/0.42 % (1858)First to succeed.
% 0.21/0.43 % (1855)Refutation not found, incomplete strategy% (1855)------------------------------
% 0.21/0.43 % (1855)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (1855)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (1855)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (1855)Memory used [KB]: 1512
% 0.21/0.43 % (1855)Time elapsed: 0.018 s
% 0.21/0.43 % (1855)Instructions burned: 28 (million)
% 0.21/0.43 % (1855)------------------------------
% 0.21/0.43 % (1855)------------------------------
% 0.21/0.43 % (1858)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1853"
% 0.21/0.43 % (1853)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (1858)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (1858)------------------------------
% 0.21/0.44 % (1858)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44 % (1858)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44 % (1858)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (1858)Memory used [KB]: 1334
% 0.21/0.44 % (1858)Time elapsed: 0.020 s
% 0.21/0.44 % (1858)Instructions burned: 36 (million)
% 0.21/0.44 % (1858)------------------------------
% 0.21/0.44 % (1858)------------------------------
% 0.21/0.44 % (1853)Success in time 0.091 s
%------------------------------------------------------------------------------