%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:13:57 PM UTC 2026
% Result : Theorem 10.41s 7.30s
% Output : CNFRefutation 10.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f149ERROR: Could not build tree for root c_23606ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& X14 = pv63 )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21 )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n1) ).
fof(f2,conjecture,
~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& X14 = pv63 )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21 )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n91) ).
fof(f3,negated_conjecture,
~ ~ ~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& X14 = pv63 )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21 )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ( ( ! [X18] :
( ( leq(X18,pred(pv63))
& leq(n0,X18) )
=> ! [X19] :
( ( leq(X19,n5)
& leq(n0,X19) )
=> a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ( leq(X17,n5)
& leq(X16,n5)
& leq(n0,X17)
& leq(n0,X16) )
=> ( gt(pv63,X16)
=> a_select3(id_ds1_filter_init,X16,X17) = init ) )
& ! [X14,X15] :
( ( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14) )
=> ( ( gt(pv64,X15)
& X14 = pv63 )
=> a_select3(id_ds1_filter_init,X14,X15) = init ) )
& ! [X12,X13] :
( ( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12) )
=> a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21 )
=> a_select3(id_ds1_filter_init,X20,X21) = init ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ? [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)
& X14 = pv63
& 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
| a_select3(id_ds1_filter_init,X20,X21) = init ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f6,plain,
( ? [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)
& X14 = pv63
& 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
| a_select3(id_ds1_filter_init,X20,X21) = init ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
( ! [X18] :
( ~ leq(X18,pred(pv63))
| ~ leq(n0,X18)
| ! [X19] :
( ~ leq(X19,n5)
| ~ leq(n0,X19)
| a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv63,X16)
| a_select3(id_ds1_filter_init,X16,X17) = init )
& ! [X14,X15] :
( ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14)
| ~ gt(pv64,X15)
| pv63 != X14
| a_select3(id_ds1_filter_init,X14,X15) = init )
& ! [X12,X13] :
( ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ~ leq(X11,n0)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10)
| a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ~ leq(X9,n2)
| ~ leq(X8,n2)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ~ leq(X5,n0)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21
& init != a_select3(id_ds1_filter_init,X20,X21) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f8,plain,
( ! [X18] :
( ~ leq(X18,pred(pv63))
| ~ leq(n0,X18)
| ! [X19] :
( ~ leq(X19,n5)
| ~ leq(n0,X19)
| a_select3(id_ds1_filter_init,X18,X19) = init ) )
& ! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv63,X16)
| a_select3(id_ds1_filter_init,X16,X17) = init )
& ! [X14,X15] :
( ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14)
| ~ gt(pv64,X15)
| pv63 != X14
| a_select3(id_ds1_filter_init,X14,X15) = init )
& ! [X12,X13] :
( ~ leq(X13,n5)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| a_select3(pminus_ds1_filter_init,X12,X13) = init )
& ! [X10,X11] :
( ~ leq(X11,n0)
| ~ leq(X10,n5)
| ~ leq(n0,X11)
| ~ leq(n0,X10)
| a_select3(xhatmin_ds1_filter_init,X10,X11) = init )
& ! [X8,X9] :
( ~ leq(X9,n2)
| ~ leq(X8,n2)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| a_select3(r_ds1_filter_init,X8,X9) = init )
& ! [X6,X7] :
( ~ leq(X7,n5)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| a_select3(q_ds1_filter_init,X6,X7) = init )
& ! [X4,X5] :
( ~ leq(X5,n0)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| a_select3(dv_ds1_filter_init,X4,X5) = init )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| a_select3(phi_ds1_filter_init,X2,X3) = init )
& ! [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)
& X20 = pv63
& pv64 != X21
& init != a_select3(id_ds1_filter_init,X20,X21) ) ),
inference(flattening,[],[f7]) ).
fof(f19,plain,
( ~ sP8
| ? [X2,X3] :
( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2)
& init != a_select3(phi_ds1_filter_init,X2,X3) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f20,plain,
( ~ sP8
| ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(phi_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
( ~ sP8
| ( leq(sK10,n5)
& leq(sK9,n5)
& leq(n0,sK10)
& leq(n0,sK9)
& init != a_select3(phi_ds1_filter_init,sK9,sK10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f20]) ).
fof(f22,plain,
( ~ sP7
| ? [X4,X5] :
( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4)
& init != a_select3(dv_ds1_filter_init,X4,X5) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f23,plain,
( ~ sP7
| ? [X0,X1] :
( leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(dv_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
( ~ sP7
| ( leq(sK12,n0)
& leq(sK11,n5)
& leq(n0,sK12)
& leq(n0,sK11)
& init != a_select3(dv_ds1_filter_init,sK11,sK12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X0,sK11),skolemize(X1,sK12)],[f23]) ).
fof(f25,plain,
( ~ sP6
| ? [X6,X7] :
( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6)
& init != a_select3(q_ds1_filter_init,X6,X7) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f26,plain,
( ~ sP6
| ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(q_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
( ~ sP6
| ( leq(sK14,n5)
& leq(sK13,n5)
& leq(n0,sK14)
& leq(n0,sK13)
& init != a_select3(q_ds1_filter_init,sK13,sK14) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f26]) ).
fof(f28,plain,
( ~ sP5
| ? [X8,X9] :
( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8)
& init != a_select3(r_ds1_filter_init,X8,X9) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f29,plain,
( ~ sP5
| ? [X0,X1] :
( leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(r_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
( ~ sP5
| ( leq(sK16,n2)
& leq(sK15,n2)
& leq(n0,sK16)
& leq(n0,sK15)
& init != a_select3(r_ds1_filter_init,sK15,sK16) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f29]) ).
fof(f31,plain,
( ~ sP4
| ? [X10,X11] :
( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10)
& init != a_select3(xhatmin_ds1_filter_init,X10,X11) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,plain,
( ~ sP4
| ? [X0,X1] :
( leq(X1,n0)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(xhatmin_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
( ~ sP4
| ( leq(sK18,n0)
& leq(sK17,n5)
& leq(n0,sK18)
& leq(n0,sK17)
& init != a_select3(xhatmin_ds1_filter_init,sK17,sK18) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f32]) ).
fof(f34,plain,
( ~ sP3
| ? [X12,X13] :
( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12)
& init != a_select3(pminus_ds1_filter_init,X12,X13) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f35,plain,
( ~ sP3
| ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& init != a_select3(pminus_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
( ~ sP3
| ( leq(sK20,n5)
& leq(sK19,n5)
& leq(n0,sK20)
& leq(n0,sK19)
& init != a_select3(pminus_ds1_filter_init,sK19,sK20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f35]) ).
fof(f37,plain,
( ~ sP2
| ? [X18] :
( leq(X18,pred(pv63))
& leq(n0,X18)
& ? [X19] :
( leq(X19,n5)
& leq(n0,X19)
& init != a_select3(id_ds1_filter_init,X18,X19) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f38,plain,
( ~ sP2
| ? [X0] :
( leq(X0,pred(pv63))
& leq(n0,X0)
& ? [X1] :
( leq(X1,n5)
& leq(n0,X1)
& init != a_select3(id_ds1_filter_init,X0,X1) ) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
( ~ sP2
| ( leq(sK21,pred(pv63))
& leq(n0,sK21)
& leq(sK22,n5)
& leq(n0,sK22)
& init != a_select3(id_ds1_filter_init,sK21,sK22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f38]) ).
fof(f40,plain,
( ~ sP1
| ? [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) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
( ~ sP1
| ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& gt(pv63,X0)
& init != a_select3(id_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
( ~ sP1
| ( leq(sK24,n5)
& leq(sK23,n5)
& leq(n0,sK24)
& leq(n0,sK23)
& gt(pv63,sK23)
& init != a_select3(id_ds1_filter_init,sK23,sK24) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X0,sK23),skolemize(X1,sK24)],[f41]) ).
fof(f48,plain,
( ! [X20] :
( ~ leq(X20,pred(pv63))
| ~ leq(n0,X20)
| ! [X21] :
( ~ leq(X21,n5)
| ~ leq(n0,X21)
| init = a_select3(id_ds1_filter_init,X20,X21) ) )
& ! [X18,X19] :
( ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18)
| ~ gt(pv63,X18)
| init = a_select3(id_ds1_filter_init,X18,X19) )
& ! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv64,X17)
| 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)
| init = a_select3(pminus_ds1_filter_init,X14,X15) )
& ! [X12,X13] :
( ~ leq(X13,n0)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| init = a_select3(xhatmin_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10)
| init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(q_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ~ leq(X7,n0)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| init = a_select3(dv_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| init = a_select3(phi_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(h_ds1_filter_init,X2,X3) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64
& ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& leq(X1,pv64)
& pv63 = X0
& pv64 != X1
& init != a_select3(id_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f49,plain,
( ! [X20] :
( ~ leq(X20,pred(pv63))
| ~ leq(n0,X20)
| ! [X21] :
( ~ leq(X21,n5)
| ~ leq(n0,X21)
| init = a_select3(id_ds1_filter_init,X20,X21) ) )
& ! [X18,X19] :
( ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18)
| ~ gt(pv63,X18)
| init = a_select3(id_ds1_filter_init,X18,X19) )
& ! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv64,X17)
| 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)
| init = a_select3(pminus_ds1_filter_init,X14,X15) )
& ! [X12,X13] :
( ~ leq(X13,n0)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| init = a_select3(xhatmin_ds1_filter_init,X12,X13) )
& ! [X10,X11] :
( ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10)
| init = a_select3(r_ds1_filter_init,X10,X11) )
& ! [X8,X9] :
( ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(q_ds1_filter_init,X8,X9) )
& ! [X6,X7] :
( ~ leq(X7,n0)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| init = a_select3(dv_ds1_filter_init,X6,X7) )
& ! [X4,X5] :
( ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| init = a_select3(phi_ds1_filter_init,X4,X5) )
& ! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(h_ds1_filter_init,X2,X3) )
& leq(pv64,n5)
& leq(pv63,n5)
& leq(pv5,n998)
& leq(n0,pv64)
& leq(n0,pv63)
& leq(n0,pv5)
& pv63 != pv64
& leq(sK30,n5)
& leq(sK29,n5)
& leq(n0,sK30)
& leq(n0,sK29)
& leq(sK30,pv64)
& pv63 = sK29
& pv64 != sK30
& init != a_select3(id_ds1_filter_init,sK29,sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30]),skolemize(X0,sK29),skolemize(X1,sK30)],[f48]) ).
fof(f50,plain,
( ~ sP8
| leq(sK10,n5) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
( ~ sP8
| leq(sK9,n5) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
( ~ sP8
| leq(n0,sK10) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
( ~ sP8
| leq(n0,sK9) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
( ~ sP8
| init != a_select3(phi_ds1_filter_init,sK9,sK10) ),
inference(cnf_transformation,[],[f21]) ).
fof(f55,plain,
( ~ sP7
| leq(sK12,n0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
( ~ sP7
| leq(sK11,n5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
( ~ sP7
| leq(n0,sK12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
( ~ sP7
| leq(n0,sK11) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
( ~ sP7
| init != a_select3(dv_ds1_filter_init,sK11,sK12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
( ~ sP6
| leq(sK14,n5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
( ~ sP6
| leq(sK13,n5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f62,plain,
( ~ sP6
| leq(n0,sK14) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
( ~ sP6
| leq(n0,sK13) ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
( ~ sP6
| init != a_select3(q_ds1_filter_init,sK13,sK14) ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
( ~ sP5
| leq(sK16,n2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
( ~ sP5
| leq(sK15,n2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
( ~ sP5
| leq(n0,sK16) ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
( ~ sP5
| leq(n0,sK15) ),
inference(cnf_transformation,[],[f30]) ).
fof(f69,plain,
( ~ sP5
| init != a_select3(r_ds1_filter_init,sK15,sK16) ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
( ~ sP4
| leq(sK18,n0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
( ~ sP4
| leq(sK17,n5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
( ~ sP4
| leq(n0,sK18) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
( ~ sP4
| leq(n0,sK17) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
( ~ sP4
| init != a_select3(xhatmin_ds1_filter_init,sK17,sK18) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
( ~ sP3
| leq(sK20,n5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
( ~ sP3
| leq(sK19,n5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f77,plain,
( ~ sP3
| leq(n0,sK20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f78,plain,
( ~ sP3
| leq(n0,sK19) ),
inference(cnf_transformation,[],[f36]) ).
fof(f79,plain,
( ~ sP3
| init != a_select3(pminus_ds1_filter_init,sK19,sK20) ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
( ~ sP2
| leq(sK21,pred(pv63)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f81,plain,
( ~ sP2
| leq(n0,sK21) ),
inference(cnf_transformation,[],[f39]) ).
fof(f82,plain,
( ~ sP2
| leq(sK22,n5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f83,plain,
( ~ sP2
| leq(n0,sK22) ),
inference(cnf_transformation,[],[f39]) ).
fof(f84,plain,
( ~ sP2
| init != a_select3(id_ds1_filter_init,sK21,sK22) ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
( ~ sP1
| leq(sK24,n5) ),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
( ~ sP1
| leq(sK23,n5) ),
inference(cnf_transformation,[],[f42]) ).
fof(f87,plain,
( ~ sP1
| leq(n0,sK24) ),
inference(cnf_transformation,[],[f42]) ).
fof(f88,plain,
( ~ sP1
| leq(n0,sK23) ),
inference(cnf_transformation,[],[f42]) ).
fof(f89,plain,
( ~ sP1
| gt(pv63,sK23) ),
inference(cnf_transformation,[],[f42]) ).
fof(f90,plain,
( ~ sP1
| init != a_select3(id_ds1_filter_init,sK23,sK24) ),
inference(cnf_transformation,[],[f42]) ).
fof(f103,plain,
! [X21,X20] :
( ~ leq(X20,pred(pv63))
| ~ leq(n0,X20)
| ~ leq(X21,n5)
| ~ leq(n0,X21)
| init = a_select3(id_ds1_filter_init,X20,X21) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X18,X19] :
( ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18)
| ~ gt(pv63,X18)
| init = a_select3(id_ds1_filter_init,X18,X19) ),
inference(cnf_transformation,[],[f49]) ).
fof(f105,plain,
! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv64,X17)
| pv63 != X16
| init = a_select3(id_ds1_filter_init,X16,X17) ),
inference(cnf_transformation,[],[f49]) ).
fof(f106,plain,
! [X14,X15] :
( ~ leq(X15,n5)
| ~ leq(X14,n5)
| ~ leq(n0,X15)
| ~ leq(n0,X14)
| init = a_select3(pminus_ds1_filter_init,X14,X15) ),
inference(cnf_transformation,[],[f49]) ).
fof(f107,plain,
! [X12,X13] :
( ~ leq(X13,n0)
| ~ leq(X12,n5)
| ~ leq(n0,X13)
| ~ leq(n0,X12)
| init = a_select3(xhatmin_ds1_filter_init,X12,X13) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
! [X10,X11] :
( ~ leq(X11,n2)
| ~ leq(X10,n2)
| ~ leq(n0,X11)
| ~ leq(n0,X10)
| init = a_select3(r_ds1_filter_init,X10,X11) ),
inference(cnf_transformation,[],[f49]) ).
fof(f109,plain,
! [X8,X9] :
( ~ leq(X9,n5)
| ~ leq(X8,n5)
| ~ leq(n0,X9)
| ~ leq(n0,X8)
| init = a_select3(q_ds1_filter_init,X8,X9) ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
! [X6,X7] :
( ~ leq(X7,n0)
| ~ leq(X6,n5)
| ~ leq(n0,X7)
| ~ leq(n0,X6)
| init = a_select3(dv_ds1_filter_init,X6,X7) ),
inference(cnf_transformation,[],[f49]) ).
fof(f111,plain,
! [X4,X5] :
( ~ leq(X5,n5)
| ~ leq(X4,n5)
| ~ leq(n0,X5)
| ~ leq(n0,X4)
| init = a_select3(phi_ds1_filter_init,X4,X5) ),
inference(cnf_transformation,[],[f49]) ).
fof(f112,plain,
! [X2,X3] :
( ~ leq(X3,n5)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| init = a_select3(h_ds1_filter_init,X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f113,plain,
leq(pv64,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f114,plain,
leq(pv63,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f115,plain,
leq(pv5,n998),
inference(cnf_transformation,[],[f49]) ).
fof(f116,plain,
leq(n0,pv64),
inference(cnf_transformation,[],[f49]) ).
fof(f117,plain,
leq(n0,pv63),
inference(cnf_transformation,[],[f49]) ).
fof(f118,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f49]) ).
fof(f119,plain,
pv63 != pv64,
inference(cnf_transformation,[],[f49]) ).
fof(f120,plain,
leq(sK30,n5),
inference(cnf_transformation,[],[f49]) ).
fof(f122,plain,
leq(n0,sK30),
inference(cnf_transformation,[],[f49]) ).
fof(f124,plain,
leq(sK30,pv64),
inference(cnf_transformation,[],[f49]) ).
fof(f125,plain,
pv63 = sK29,
inference(cnf_transformation,[],[f49]) ).
fof(f126,plain,
pv64 != sK30,
inference(cnf_transformation,[],[f49]) ).
fof(f127,plain,
init != a_select3(id_ds1_filter_init,sK29,sK30),
inference(cnf_transformation,[],[f49]) ).
fof(f128,plain,
( ~ sP2
| leq(sK21,pred(sK29)) ),
inference(definition_unfolding,[],[f80,f125]) ).
fof(f129,plain,
( ~ sP1
| gt(sK29,sK23) ),
inference(definition_unfolding,[],[f89,f125]) ).
fof(f136,plain,
pv64 != sK29,
inference(definition_unfolding,[],[f119,f125]) ).
fof(f137,plain,
leq(n0,sK29),
inference(definition_unfolding,[],[f117,f125]) ).
fof(f138,plain,
leq(sK29,n5),
inference(definition_unfolding,[],[f114,f125]) ).
fof(f139,plain,
! [X16,X17] :
( ~ leq(X17,n5)
| ~ leq(X16,n5)
| ~ leq(n0,X17)
| ~ leq(n0,X16)
| ~ gt(pv64,X17)
| sK29 != X16
| init = a_select3(id_ds1_filter_init,X16,X17) ),
inference(definition_unfolding,[],[f105,f125]) ).
fof(f140,plain,
! [X18,X19] :
( ~ leq(X19,n5)
| ~ leq(X18,n5)
| ~ leq(n0,X19)
| ~ leq(n0,X18)
| ~ gt(sK29,X18)
| init = a_select3(id_ds1_filter_init,X18,X19) ),
inference(definition_unfolding,[],[f104,f125]) ).
fof(f141,plain,
! [X21,X20] :
( ~ leq(X20,pred(sK29))
| ~ leq(n0,X20)
| ~ leq(X21,n5)
| ~ leq(n0,X21)
| init = a_select3(id_ds1_filter_init,X20,X21) ),
inference(definition_unfolding,[],[f103,f125]) ).
fof(f147,plain,
! [X17] :
( ~ leq(X17,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,X17)
| ~ leq(n0,sK29)
| ~ gt(pv64,X17)
| init = a_select3(id_ds1_filter_init,sK29,X17) ),
inference(equality_resolution,[],[f139]) ).
tcf(c_49,plain,
( ~ sP8
| ( a_select3(phi_ds1_filter_init,sK9,sK10) != init ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_50,plain,
( leq(n0,sK9)
| ~ sP8 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_51,plain,
( leq(n0,sK10)
| ~ sP8 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_52,plain,
( leq(sK9,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_53,plain,
( leq(sK10,n5)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_54,plain,
( ~ sP7
| ( a_select3(dv_ds1_filter_init,sK11,sK12) != init ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_55,plain,
( leq(n0,sK11)
| ~ sP7 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_56,plain,
( leq(n0,sK12)
| ~ sP7 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_57,plain,
( leq(sK11,n5)
| ~ sP7 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_58,plain,
( leq(sK12,n0)
| ~ sP7 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_59,plain,
( ~ sP6
| ( a_select3(q_ds1_filter_init,sK13,sK14) != init ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_60,plain,
( leq(n0,sK13)
| ~ sP6 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_61,plain,
( leq(n0,sK14)
| ~ sP6 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_62,plain,
( leq(sK13,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_63,plain,
( leq(sK14,n5)
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_64,plain,
( ~ sP5
| ( a_select3(r_ds1_filter_init,sK15,sK16) != init ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_65,plain,
( leq(n0,sK15)
| ~ sP5 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_66,plain,
( leq(n0,sK16)
| ~ sP5 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_67,plain,
( leq(sK15,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_68,plain,
( leq(sK16,n2)
| ~ sP5 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_69,plain,
( ~ sP4
| ( a_select3(xhatmin_ds1_filter_init,sK17,sK18) != init ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_70,plain,
( leq(n0,sK17)
| ~ sP4 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_71,plain,
( leq(n0,sK18)
| ~ sP4 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_72,plain,
( leq(sK17,n5)
| ~ sP4 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_73,plain,
( leq(sK18,n0)
| ~ sP4 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_74,plain,
( ~ sP3
| ( a_select3(pminus_ds1_filter_init,sK19,sK20) != init ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_75,plain,
( leq(n0,sK19)
| ~ sP3 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_76,plain,
( leq(n0,sK20)
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_77,plain,
( leq(sK19,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_78,plain,
( leq(sK20,n5)
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_79,plain,
( ~ sP2
| ( a_select3(id_ds1_filter_init,sK21,sK22) != init ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_80,plain,
( leq(n0,sK22)
| ~ sP2 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_81,plain,
( leq(sK22,n5)
| ~ sP2 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_82,plain,
( leq(n0,sK21)
| ~ sP2 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_83,negated_conjecture,
( leq(sK21,pred(sK29))
| ~ sP2 ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_84,plain,
( ~ sP1
| ( a_select3(id_ds1_filter_init,sK23,sK24) != init ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_85,negated_conjecture,
( gt(sK29,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_86,plain,
( leq(n0,sK23)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_87,plain,
( leq(n0,sK24)
| ~ sP1 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_88,plain,
( leq(sK23,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_89,plain,
( leq(sK24,n5)
| ~ sP1 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_97,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( sK29 = pv64 )
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5)
| ( a_select3(h_ds1_filter_init,sK27,sK28) != init ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_98,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK27)
| ( sK29 = pv64 )
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_99,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK28)
| ( sK29 = pv64 )
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_100,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK27,n2)
| ( sK29 = pv64 )
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_101,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK28,n5)
| ( sK29 = pv64 )
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(pv5,n998)
| ~ leq(pv64,n5)
| ~ leq(sK29,n5)
| ~ leq(n0,pv5)
| ~ leq(n0,pv64)
| ~ leq(n0,sK29)
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_102,negated_conjecture,
a_select3(id_ds1_filter_init,sK29,sK30) != init,
inference(cnf_transformation,[],[f127]) ).
tcf(c_103,negated_conjecture,
pv64 != sK30,
inference(cnf_transformation,[],[f126]) ).
tcf(c_104,negated_conjecture,
leq(sK30,pv64),
inference(cnf_transformation,[],[f124]) ).
tcf(c_106,negated_conjecture,
leq(n0,sK30),
inference(cnf_transformation,[],[f122]) ).
tcf(c_108,negated_conjecture,
leq(sK30,n5),
inference(cnf_transformation,[],[f120]) ).
tcf(c_109,negated_conjecture,
sK29 != pv64,
inference(cnf_transformation,[],[f136]) ).
tcf(c_110,negated_conjecture,
leq(n0,pv5),
inference(cnf_transformation,[],[f118]) ).
tcf(c_111,negated_conjecture,
leq(n0,sK29),
inference(cnf_transformation,[],[f137]) ).
tcf(c_112,negated_conjecture,
leq(n0,pv64),
inference(cnf_transformation,[],[f116]) ).
tcf(c_113,negated_conjecture,
leq(pv5,n998),
inference(cnf_transformation,[],[f115]) ).
tcf(c_114,negated_conjecture,
leq(sK29,n5),
inference(cnf_transformation,[],[f138]) ).
tcf(c_115,negated_conjecture,
leq(pv64,n5),
inference(cnf_transformation,[],[f113]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(h_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(phi_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(dv_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n0)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(q_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(r_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(xhatmin_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n0)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(pminus_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_123,negated_conjecture,
! [X0: $i] :
( ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(sK29,n5)
| ~ leq(n0,sK29)
| ~ gt(pv64,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter_init,X0,X1) = init )
| ~ gt(sK29,X0)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter_init,X0,X1) = init )
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,pred(sK29)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_141,negated_conjecture,
! [X0: $i] :
( ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ gt(pv64,X0)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(global_subsumption_just,[status(thm)],[c_123,c_114,c_111,c_123]) ).
tcf(c_144,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK28,n5)
| ~ leq(X0,n5)
| ~ leq(X0,pv64)
| ~ leq(n0,X0)
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ( X0 = pv64 ) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_101]) ).
tcf(c_145,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK28,n5)
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_144]) ).
tcf(c_147,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK27,n2)
| ~ leq(X0,n5)
| ~ leq(X0,pv64)
| ~ leq(n0,X0)
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ( X0 = pv64 ) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_100]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK27,n2)
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_147]) ).
tcf(c_150,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK28)
| ~ leq(X0,n5)
| ~ leq(X0,pv64)
| ~ leq(n0,X0)
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ( X0 = pv64 ) ),
inference(global_subsumption_just,[status(thm)],[c_99,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_99]) ).
tcf(c_151,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK28)
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_150]) ).
tcf(c_153,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK27)
| ~ leq(X0,n5)
| ~ leq(X0,pv64)
| ~ leq(n0,X0)
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ( X0 = pv64 ) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_98]) ).
tcf(c_154,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK27)
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5) ),
inference(renaming,[status(thm)],[c_153]) ).
tcf(c_156,plain,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( a_select3(h_ds1_filter_init,sK27,sK28) != init )
| ~ leq(X0,n5)
| ~ leq(X0,pv64)
| ~ leq(n0,X0)
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ( X0 = pv64 ) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_97]) ).
tcf(c_157,negated_conjecture,
! [X0: $i] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( X0 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ leq(n0,X0)
| ~ leq(X0,pv64)
| ~ leq(X0,n5)
| ( a_select3(h_ds1_filter_init,sK27,sK28) != init ) ),
inference(renaming,[status(thm)],[c_156]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( ( a_select3(id_ds1_filter_init,X0,X1) = init )
| ~ sP1
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ( sK29 != sK29 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_85,c_124]) ).
tcf(c_635,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter_init,sK23,X0) = init )
| ~ sP1
| ~ leq(sK23,n5)
| ~ leq(n0,sK23)
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(unflattening,[status(thm)],[c_634]) ).
tcf(c_637,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter_init,sK23,X0) = init )
| ~ sP1
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(global_subsumption_just,[status(thm)],[c_635,c_88,c_86,c_635]) ).
tcf(c_6546,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(id_ds1_filter_init,sK23,X0_iProver_a_select3_3) = init )
| ~ sP1
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_637]) ).
tcf(c_6547,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( X0_iProver_a_select3_3 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,pv64)
| ~ leq(X0_iProver_a_select3_3,n5)
| ( a_select3(h_ds1_filter_init,sK27,sK28) != init ) ),
inference(subtyping,[status(esa)],[c_157]) ).
tcf(c_6548,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK27)
| ( X0_iProver_a_select3_3 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,pv64)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_154]) ).
tcf(c_6549,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK28)
| ( X0_iProver_a_select3_3 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,pv64)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_151]) ).
tcf(c_6550,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK27,n2)
| ( X0_iProver_a_select3_3 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,pv64)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_148]) ).
tcf(c_6551,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK28,n5)
| ( X0_iProver_a_select3_3 = pv64 )
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,pv64)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_145]) ).
tcf(c_6552,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(id_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,pred(sK29)) ),
inference(subtyping,[status(esa)],[c_125]) ).
tcf(c_6553,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(pminus_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_6554,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(xhatmin_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n0)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_6555,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(r_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n2)
| ~ leq(X0_iProver_a_select3_3,n2) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_6556,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(q_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_119]) ).
tcf(c_6557,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(dv_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n0)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_118]) ).
tcf(c_6558,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(phi_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(subtyping,[status(esa)],[c_117]) ).
tcf(c_6559,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3,X1_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(h_ds1_filter_init,X0_iProver_a_select3_3,X1_iProver_a_select3_3) = init )
| ~ leq(n0,X1_iProver_a_select3_3)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X1_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,n2) ),
inference(subtyping,[status(esa)],[c_116]) ).
tcf(c_6565,negated_conjecture,
leq(sK30,n5),
inference(subtyping,[status(esa)],[c_108]) ).
tcf(c_6566,negated_conjecture,
leq(sK29,n5),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_6567,negated_conjecture,
leq(n0,sK30),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_6568,negated_conjecture,
leq(n0,sK29),
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_6570,negated_conjecture,
pv64 != sK30,
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_6571,negated_conjecture,
a_select3(id_ds1_filter_init,sK29,sK30) != init,
inference(subtyping,[status(esa)],[c_102]) ).
tcf(c_6582,plain,
( ~ sP1
| ( a_select3(id_ds1_filter_init,sK23,sK24) != init ) ),
inference(subtyping,[status(esa)],[c_84]) ).
tcf(c_6584,plain,
( leq(n0,sK21)
| ~ sP2 ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_6587,plain,
( ~ sP2
| ( a_select3(id_ds1_filter_init,sK21,sK22) != init ) ),
inference(subtyping,[status(esa)],[c_79]) ).
tcf(c_6588,plain,
( leq(sK20,n5)
| ~ sP3 ),
inference(subtyping,[status(esa)],[c_78]) ).
tcf(c_6592,plain,
( ~ sP3
| ( a_select3(pminus_ds1_filter_init,sK19,sK20) != init ) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_6593,plain,
( leq(sK18,n0)
| ~ sP4 ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_6597,plain,
( ~ sP4
| ( a_select3(xhatmin_ds1_filter_init,sK17,sK18) != init ) ),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_6600,plain,
( leq(n0,sK16)
| ~ sP5 ),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_6601,plain,
( leq(n0,sK15)
| ~ sP5 ),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_6602,plain,
( ~ sP5
| ( a_select3(r_ds1_filter_init,sK15,sK16) != init ) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_6603,plain,
( leq(sK14,n5)
| ~ sP6 ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_6607,plain,
( ~ sP6
| ( a_select3(q_ds1_filter_init,sK13,sK14) != init ) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_6609,plain,
( leq(sK11,n5)
| ~ sP7 ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_6610,plain,
( leq(n0,sK12)
| ~ sP7 ),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_6612,plain,
( ~ sP7
| ( a_select3(dv_ds1_filter_init,sK11,sK12) != init ) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_6613,plain,
( leq(sK10,n5)
| ~ sP8 ),
inference(subtyping,[status(esa)],[c_53]) ).
tcf(c_6614,plain,
( leq(sK9,n5)
| ~ sP8 ),
inference(subtyping,[status(esa)],[c_52]) ).
tcf(c_6617,plain,
( ~ sP8
| ( a_select3(phi_ds1_filter_init,sK9,sK10) != init ) ),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_6618,negated_conjecture,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ~ iPr_def_10
| ( a_select3(id_ds1_filter_init,sK29,X0_iProver_a_select3_3) = init )
| ( X0_iProver_a_select3_3 = pv64 )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5)
| ~ leq(X0_iProver_a_select3_3,pv64) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_6551]) ).
tcf(c_6619,negated_conjecture,
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK28,n5) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6551]) ).
tcf(c_6620,negated_conjecture,
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(sK27,n2) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6550]) ).
tcf(c_6621,negated_conjecture,
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK28) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6549]) ).
tcf(c_6622,negated_conjecture,
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| leq(n0,sK27) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6548]) ).
tcf(c_6623,negated_conjecture,
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( a_select3(h_ds1_filter_init,sK27,sK28) != init ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_6547]) ).
tcf(c_7861,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(pminus_ds1_filter_init,X0_iProver_a_select3_3,sK20) = init )
| ~ leq(sK20,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(instantiation,[status(thm)],[c_6553]) ).
tcf(c_8052,plain,
( ( a_select3(pminus_ds1_filter_init,sK19,sK20) = init )
| ~ leq(sK20,n5)
| ~ leq(sK19,n5)
| ~ leq(n0,sK20)
| ~ leq(n0,sK19) ),
inference(instantiation,[status(thm)],[c_7861]) ).
tcf(c_8118,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(xhatmin_ds1_filter_init,sK30,X0_iProver_a_select3_3) = init )
| ~ leq(n0,sK30)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n0) ),
inference(superposition,[status(thm)],[c_6565,c_6554]) ).
tcf(c_8196,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(xhatmin_ds1_filter_init,X0_iProver_a_select3_3,sK18) = init )
| ~ leq(sK18,n0)
| ~ leq(n0,sK18)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(instantiation,[status(thm)],[c_6554]) ).
tcf(c_8379,plain,
( ( a_select3(xhatmin_ds1_filter_init,sK17,sK18) = init )
| ~ leq(sK18,n0)
| ~ leq(sK17,n5)
| ~ leq(n0,sK18)
| ~ leq(n0,sK17) ),
inference(instantiation,[status(thm)],[c_8196]) ).
tcf(c_8592,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(q_ds1_filter_init,X0_iProver_a_select3_3,sK14) = init )
| ~ leq(sK14,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(instantiation,[status(thm)],[c_6556]) ).
tcf(c_8753,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( iPr_def_10
| sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ( a_select3(h_ds1_filter_init,sK27,X0_iProver_a_select3_3) = init )
| ~ leq(sK27,n2)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(superposition,[status(thm)],[c_6622,c_6559]) ).
tcf(c_8860,plain,
( ( a_select3(q_ds1_filter_init,sK13,sK14) = init )
| ~ leq(sK14,n5)
| ~ leq(sK13,n5)
| ~ leq(n0,sK14)
| ~ leq(n0,sK13) ),
inference(instantiation,[status(thm)],[c_8592]) ).
tcf(c_9513,plain,
( ~ sP1
| ~ leq(sK24,n5)
| ~ leq(n0,sK24) ),
inference(resolution,[status(thm)],[c_6546,c_6582]) ).
tcf(c_9514,plain,
~ sP1,
inference(global_subsumption_just,[status(thm)],[c_9513,c_89,c_87,c_9513]) ).
tcf(c_9569,plain,
( ( pv64 = sK30 )
| ( a_select3(id_ds1_filter_init,sK29,sK30) = init )
| ~ iPr_def_10
| ~ leq(sK30,pv64)
| ~ leq(sK30,n5) ),
inference(superposition,[status(thm)],[c_6567,c_6618]) ).
tcf(c_9718,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(xhatmin_ds1_filter_init,sK30,X0_iProver_a_select3_3) = init )
| ~ leq(X0_iProver_a_select3_3,n0)
| ~ leq(n0,X0_iProver_a_select3_3) ),
inference(global_subsumption_just,[status(thm)],[c_8118,c_106,c_8118]) ).
tcf(c_9719,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(xhatmin_ds1_filter_init,sK30,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n0) ),
inference(renaming,[status(thm)],[c_9718]) ).
tcf(c_9721,plain,
( ( a_select3(xhatmin_ds1_filter_init,sK30,sK21) = init )
| ~ sP2
| ~ leq(sK21,n0) ),
inference(superposition,[status(thm)],[c_6584,c_9719]) ).
tcf(c_9796,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(id_ds1_filter_init,sK21,X0_iProver_a_select3_3) = init )
| ~ leq(n0,sK21)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5)
| ~ leq(sK21,pred(sK29)) ),
inference(instantiation,[status(thm)],[c_6552]) ).
tcf(c_10190,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_6588,c_78,c_77,c_76,c_75,c_6592,c_8052]) ).
tcf(c_10654,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_6593,c_73,c_72,c_71,c_70,c_6597,c_8379]) ).
tcf(c_10781,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(r_ds1_filter_init,sK15,X0_iProver_a_select3_3) = init )
| ~ sP5
| ~ leq(sK15,n2)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n2) ),
inference(superposition,[status(thm)],[c_6601,c_6555]) ).
tcf(c_10784,plain,
~ sP6,
inference(global_subsumption_just,[status(thm)],[c_6603,c_63,c_62,c_61,c_60,c_6607,c_8860]) ).
tcf(c_10805,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(dv_ds1_filter_init,sK11,X0_iProver_a_select3_3) = init )
| ~ sP7
| ~ leq(n0,sK11)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n0) ),
inference(superposition,[status(thm)],[c_6609,c_6557]) ).
tcf(c_10840,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(phi_ds1_filter_init,sK9,X0_iProver_a_select3_3) = init )
| ~ sP8
| ~ leq(n0,sK9)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(superposition,[status(thm)],[c_6614,c_6558]) ).
tcf(c_10996,plain,
( ( a_select3(id_ds1_filter_init,sK21,sK22) = init )
| ~ leq(sK22,n5)
| ~ leq(n0,sK22)
| ~ leq(n0,sK21)
| ~ leq(sK21,pred(sK29)) ),
inference(instantiation,[status(thm)],[c_9796]) ).
tcf(c_11195,plain,
~ sP2,
inference(global_subsumption_just,[status(thm)],[c_9721,c_82,c_81,c_80,c_83,c_6587,c_10996]) ).
tcf(c_14376,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(r_ds1_filter_init,sK15,X0_iProver_a_select3_3) = init )
| ~ sP5
| ~ leq(sK15,n2)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n2) ),
inference(superposition,[status(thm)],[c_6601,c_6555]) ).
tcf(c_14382,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(dv_ds1_filter_init,sK11,X0_iProver_a_select3_3) = init )
| ~ sP7
| ~ leq(n0,sK11)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n0) ),
inference(superposition,[status(thm)],[c_6609,c_6557]) ).
tcf(c_14407,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(phi_ds1_filter_init,sK9,X0_iProver_a_select3_3) = init )
| ~ sP8
| ~ leq(n0,sK9)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(superposition,[status(thm)],[c_6614,c_6558]) ).
tcf(c_18082,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(r_ds1_filter_init,sK15,X0_iProver_a_select3_3) = init )
| ~ sP5
| ~ leq(X0_iProver_a_select3_3,n2)
| ~ leq(n0,X0_iProver_a_select3_3) ),
inference(global_subsumption_just,[status(thm)],[c_14376,c_67,c_10781]) ).
tcf(c_18083,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(r_ds1_filter_init,sK15,X0_iProver_a_select3_3) = init )
| ~ sP5
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n2) ),
inference(renaming,[status(thm)],[c_18082]) ).
tcf(c_18090,plain,
( ( a_select3(r_ds1_filter_init,sK15,sK16) = init )
| ~ sP5
| ~ leq(sK16,n2) ),
inference(superposition,[status(thm)],[c_6600,c_18083]) ).
tcf(c_18093,plain,
( ( a_select3(r_ds1_filter_init,sK15,sK29) = init )
| ~ sP5
| ~ leq(sK29,n2) ),
inference(superposition,[status(thm)],[c_6568,c_18083]) ).
tcf(c_18170,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_18093,c_68,c_6602,c_18090]) ).
tcf(c_18265,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(dv_ds1_filter_init,sK11,X0_iProver_a_select3_3) = init )
| ~ sP7
| ~ leq(X0_iProver_a_select3_3,n0)
| ~ leq(n0,X0_iProver_a_select3_3) ),
inference(global_subsumption_just,[status(thm)],[c_14382,c_55,c_10805]) ).
tcf(c_18266,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(dv_ds1_filter_init,sK11,X0_iProver_a_select3_3) = init )
| ~ sP7
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n0) ),
inference(renaming,[status(thm)],[c_18265]) ).
tcf(c_18271,plain,
( ( a_select3(dv_ds1_filter_init,sK11,sK12) = init )
| ~ sP7
| ~ leq(sK12,n0) ),
inference(superposition,[status(thm)],[c_6610,c_18266]) ).
tcf(c_18274,plain,
( ( a_select3(dv_ds1_filter_init,sK11,sK29) = init )
| ~ sP7
| ~ leq(sK29,n0) ),
inference(superposition,[status(thm)],[c_6568,c_18266]) ).
tcf(c_18474,plain,
~ sP7,
inference(global_subsumption_just,[status(thm)],[c_18274,c_58,c_6612,c_18271]) ).
tcf(c_18959,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(phi_ds1_filter_init,sK9,X0_iProver_a_select3_3) = init )
| ~ sP8
| ~ leq(X0_iProver_a_select3_3,n5)
| ~ leq(n0,X0_iProver_a_select3_3) ),
inference(global_subsumption_just,[status(thm)],[c_14407,c_50,c_10840]) ).
tcf(c_18960,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( ( a_select3(phi_ds1_filter_init,sK9,X0_iProver_a_select3_3) = init )
| ~ sP8
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(renaming,[status(thm)],[c_18959]) ).
tcf(c_18963,plain,
( ( a_select3(phi_ds1_filter_init,sK9,sK10) = init )
| ~ sP8
| ~ leq(n0,sK10) ),
inference(superposition,[status(thm)],[c_6613,c_18960]) ).
tcf(c_18966,plain,
( ( a_select3(phi_ds1_filter_init,sK9,sK29) = init )
| ~ sP8
| ~ leq(n0,sK29) ),
inference(superposition,[status(thm)],[c_6566,c_18960]) ).
tcf(c_19031,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_18966,c_51,c_6617,c_18963]) ).
tcf(c_22540,plain,
( leq(sK28,n5)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_6619,c_108,c_104,c_89,c_87,c_82,c_81,c_80,c_78,c_77,c_76,c_75,c_73,c_72,c_71,c_70,c_68,c_63,c_62,c_61,c_60,c_58,c_51,c_83,c_6570,c_6571,c_6587,c_6592,c_6597,c_6602,c_6607,c_6612,c_6617,c_6619,c_8052,c_8379,c_8860,c_9513,c_9569,c_10996,c_18090,c_18271,c_18963]) ).
tcf(c_22541,negated_conjecture,
( sP0
| leq(sK28,n5) ),
inference(renaming,[status(thm)],[c_22540]) ).
tcf(c_22546,plain,
( leq(n0,sK27)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_6622,c_108,c_104,c_6570,c_6571,c_6622,c_9514,c_9569,c_10190,c_10654,c_10784,c_11195,c_18170,c_18474,c_19031]) ).
tcf(c_22547,negated_conjecture,
( sP0
| leq(n0,sK27) ),
inference(renaming,[status(thm)],[c_22546]) ).
tcf(c_22606,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| ( a_select3(h_ds1_filter_init,sK27,X0_iProver_a_select3_3) = init )
| ~ leq(sK27,n2)
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(superposition,[status(thm)],[c_22547,c_6559]) ).
tcf(c_23547,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| ( a_select3(h_ds1_filter_init,sK27,X0_iProver_a_select3_3) = init )
| ~ leq(X0_iProver_a_select3_3,n5)
| ~ leq(n0,X0_iProver_a_select3_3) ),
inference(global_subsumption_just,[status(thm)],[c_22606,c_108,c_104,c_6570,c_6571,c_6620,c_8753,c_9514,c_9569,c_10190,c_10654,c_10784,c_11195,c_18170,c_18474,c_19031]) ).
tcf(c_23548,plain,
! [X0_iProver_a_select3_3: iProver_a_select3_3] :
( sP0
| ( a_select3(h_ds1_filter_init,sK27,X0_iProver_a_select3_3) = init )
| ~ leq(n0,X0_iProver_a_select3_3)
| ~ leq(X0_iProver_a_select3_3,n5) ),
inference(renaming,[status(thm)],[c_23547]) ).
tcf(c_23552,plain,
( sP0
| ( a_select3(h_ds1_filter_init,sK27,sK29) = init )
| ~ leq(n0,sK29) ),
inference(superposition,[status(thm)],[c_6566,c_23548]) ).
tcf(c_23554,plain,
( sP0
| ( a_select3(h_ds1_filter_init,sK27,sK28) = init )
| ~ leq(n0,sK28) ),
inference(superposition,[status(thm)],[c_22541,c_23548]) ).
tcf(c_23556,plain,
sP0,
inference(global_subsumption_just,[status(thm)],[c_23552,c_108,c_104,c_6570,c_6571,c_6621,c_6623,c_9514,c_9569,c_10190,c_10654,c_10784,c_11195,c_18170,c_18474,c_19031,c_23554]) ).
fof(f9,definition,
( ~ sP0
| ? [X14,X15] :
( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14)
& gt(pv64,X15)
& X14 = pv63
& init != a_select3(id_ds1_filter_init,X14,X15) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
( ~ sP1
| ? [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) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ~ sP2
| ? [X18] :
( leq(X18,pred(pv63))
& leq(n0,X18)
& ? [X19] :
( leq(X19,n5)
& leq(n0,X19)
& init != a_select3(id_ds1_filter_init,X18,X19) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ~ sP3
| ? [X12,X13] :
( leq(X13,n5)
& leq(X12,n5)
& leq(n0,X13)
& leq(n0,X12)
& init != a_select3(pminus_ds1_filter_init,X12,X13) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ~ sP4
| ? [X10,X11] :
( leq(X11,n0)
& leq(X10,n5)
& leq(n0,X11)
& leq(n0,X10)
& init != a_select3(xhatmin_ds1_filter_init,X10,X11) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ~ sP5
| ? [X8,X9] :
( leq(X9,n2)
& leq(X8,n2)
& leq(n0,X9)
& leq(n0,X8)
& init != a_select3(r_ds1_filter_init,X8,X9) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ~ sP6
| ? [X6,X7] :
( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6)
& init != a_select3(q_ds1_filter_init,X6,X7) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ~ sP7
| ? [X4,X5] :
( leq(X5,n0)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4)
& init != a_select3(dv_ds1_filter_init,X4,X5) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ~ sP8
| ? [X2,X3] :
( leq(X3,n5)
& leq(X2,n5)
& leq(n0,X3)
& leq(n0,X2)
& init != a_select3(phi_ds1_filter_init,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,plain,
( sP2
| sP1
| sP0
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| ? [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
| a_select3(id_ds1_filter_init,X20,X21) = init ) ),
inference(definition_folding,[],[f6,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f43,plain,
( ~ sP0
| ? [X14,X15] :
( leq(X15,n5)
& leq(X14,n5)
& leq(n0,X15)
& leq(n0,X14)
& gt(pv64,X15)
& X14 = pv63
& init != a_select3(id_ds1_filter_init,X14,X15) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f44,plain,
( ~ sP0
| ? [X0,X1] :
( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0)
& gt(pv64,X1)
& pv63 = X0
& init != a_select3(id_ds1_filter_init,X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
( ~ sP0
| ( leq(sK26,n5)
& leq(sK25,n5)
& leq(n0,sK26)
& leq(n0,sK25)
& gt(pv64,sK26)
& pv63 = sK25
& init != a_select3(id_ds1_filter_init,sK25,sK26) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X0,sK25),skolemize(X1,sK26)],[f44]) ).
fof(f91,plain,
( ~ sP0
| leq(sK26,n5) ),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
( ~ sP0
| leq(n0,sK26) ),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
( ~ sP0
| gt(pv64,sK26) ),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
( ~ sP0
| pv63 = sK25 ),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
( ~ sP0
| init != a_select3(id_ds1_filter_init,sK25,sK26) ),
inference(cnf_transformation,[],[f45]) ).
fof(f130,plain,
( ~ sP0
| sK25 = sK29 ),
inference(definition_unfolding,[],[f96,f125]) ).
tcf(c_90,plain,
( ~ sP0
| ( a_select3(id_ds1_filter_init,sK25,sK26) != init ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_91,negated_conjecture,
( ( sK29 = sK25 )
| ~ sP0 ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_92,plain,
( gt(pv64,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_94,plain,
( leq(n0,sK26)
| ~ sP0 ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_96,plain,
( leq(sK26,n5)
| ~ sP0 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_652,plain,
! [X0: $i] :
( ( a_select3(id_ds1_filter_init,sK29,X0) = init )
| ~ sP0
| ~ leq(n0,X0)
| ~ leq(X0,n5)
| ( pv64 != pv64 )
| ( X0 != sK26 ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_141]) ).
tcf(c_653,plain,
( ( a_select3(id_ds1_filter_init,sK29,sK26) = init )
| ~ sP0
| ~ leq(sK26,n5)
| ~ leq(n0,sK26) ),
inference(unflattening,[status(thm)],[c_652]) ).
tcf(c_654,plain,
( ( a_select3(id_ds1_filter_init,sK29,sK26) = init )
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_653,c_96,c_94,c_653]) ).
tcf(c_6545,plain,
( ( a_select3(id_ds1_filter_init,sK29,sK26) = init )
| ~ sP0 ),
inference(subtyping,[status(esa)],[c_654]) ).
tcf(c_6576,negated_conjecture,
( ( sK29 = sK25 )
| ~ sP0 ),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_6577,plain,
( ~ sP0
| ( a_select3(id_ds1_filter_init,sK25,sK26) != init ) ),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_23577,plain,
sK29 = sK25,
inference(superposition,[status(thm)],[c_23556,c_6576]) ).
tcf(c_23603,plain,
( ~ sP0
| ( a_select3(id_ds1_filter_init,sK29,sK26) != init ) ),
inference(superposition,[status(thm)],[c_23577,c_6577]) ).
tcf(c_23606,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23603,c_23556,c_6545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC010+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n018.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 01:30:09 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 10.41/7.30 % SZS status Started for theBenchmark.p
% 10.41/7.30 % SZS status Theorem for theBenchmark.p
% 10.41/7.30
% 10.41/7.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.41/7.30
% 10.41/7.30 % ------ iProver source info
% 10.41/7.30
% 10.41/7.30 % git: date: 2026-07-19 20:42:38 +0200
% 10.41/7.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.41/7.30 % git: non_committed_changes: false
% 10.41/7.30
% 10.41/7.30 % ------ Parsing...
% 10.41/7.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.41/7.30
% 10.41/7.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 10.41/7.30
% 10.41/7.30 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.41/7.30
% 10.41/7.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.41/7.30 % ------ Proving...
% 10.41/7.30 % ------ Problem Properties
% 10.41/7.30
% 10.41/7.30 %
% 10.41/7.30 % clauses 74
% 10.41/7.30 % conjectures 28
% 10.41/7.30 % EPR 51
% 10.41/7.30 % Horn 68
% 10.41/7.30 % unary 12
% 10.41/7.30 % binary 47
% 10.41/7.30 % lits 211
% 10.41/7.30 % lits eq 26
% 10.41/7.30 % fd_pure 0
% 10.41/7.30 % fd_pseudo 0
% 10.41/7.30 % fd_cond 1
% 10.41/7.30 % fd_pseudo_cond 0
% 10.41/7.30 % AC symbols 0
% 10.41/7.30
% 10.41/7.30 % ------ Input Options Time Limit: Unbounded
% 10.41/7.30
% 10.41/7.30
% 10.41/7.30 % ------
% 10.41/7.30 % Current options:
% 10.41/7.30 % ------
% 10.41/7.30
% 10.41/7.30
% 10.41/7.30 %
% 10.41/7.30
% 10.41/7.30 % ------ Proving...
% 10.41/7.30 %
% 10.41/7.30
% 10.41/7.30 % SZS status Theorem for theBenchmark.p
% 10.41/7.30
% 10.41/7.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.41/7.30
% 10.41/7.30
%------------------------------------------------------------------------------