TSTP Solution File: SWV174+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV174+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 17:09:35 EDT 2024
% Result : Theorem 4.00s 1.15s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f16,axiom,
! [X4,X5,X6,X7] :
( ( leq(X4,X6)
& leq(X5,X4) )
=> a_select2(tptp_const_array1(dim(X5,X6),X7),X4) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array1_select) ).
fof(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array2_select) ).
fof(f18,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(trans(X13),X4,X10) = a_select3(trans(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f19,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(inv(X13),X4,X10) = a_select3(inv(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f20,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10,X15,X16] :
( ( leq(X15,X14)
& leq(n0,X15)
& leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_update3(X13,X15,X15,X16),X4,X10) = a_select3(tptp_update3(X13,X15,X15,X16),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f21,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,X17),X4,X10) = a_select3(tptp_madd(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f22,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_msub(X13,X17),X4,X10) = a_select3(tptp_msub(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f23,axiom,
! [X13,X17,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f24,axiom,
! [X13,X17,X14,X18] :
( ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f46,axiom,
! [X4,X10,X6,X23,X0,X16,X24] :
( ( a_select3(X0,X6,X23) = X16
& X10 = X23
& X4 != X6 )
=> a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f47,axiom,
! [X4,X10,X6,X23,X0,X16] :
( ( leq(X10,X23)
& leq(n0,X10)
& leq(X4,X6)
& leq(n0,X4)
& ! [X25,X26] :
( ( leq(X26,X23)
& leq(X25,X6)
& leq(n0,X26)
& leq(n0,X25) )
=> a_select3(X0,X25,X26) = X16 ) )
=> a_select3(tptp_update3(X0,X6,X23,X16),X4,X10) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f50,axiom,
! [X4,X6,X0,X16] :
( ( leq(X4,X6)
& leq(n0,X4)
& ! [X25] :
( ( leq(X25,X6)
& leq(n0,X25) )
=> a_select2(X0,X25) = X16 ) )
=> a_select2(tptp_update2(X0,X6,X16),X4) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f53,conjecture,
( ( ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X20)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,pred(pv10))
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X19,X20] :
( ( leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X20)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f83,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f84,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f86,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f88,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f94,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f95,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 ),
inference(rectify,[],[f16]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(rectify,[],[f17]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4) ) ),
inference(rectify,[],[f18]) ).
fof(f99,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4) ) ),
inference(rectify,[],[f19]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5,X6,X7] :
( ( leq(X6,X1)
& leq(n0,X6)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7) ) ),
inference(rectify,[],[f21]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7) ) ),
inference(rectify,[],[f22]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
=> ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5) ) ),
inference(rectify,[],[f23]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
=> a_select3(X1,X4,X5) = a_select3(X1,X5,X4) )
=> ! [X6,X7] :
( ( leq(X7,X2)
& leq(n0,X7)
& leq(X6,X2)
& leq(n0,X6) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6) ) ),
inference(rectify,[],[f24]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f106,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f107,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f108,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(X4,X2,X3) = X5
& X1 = X3
& X0 != X2 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
inference(rectify,[],[f46]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( leq(X1,X3)
& leq(n0,X1)
& leq(X0,X2)
& leq(n0,X0)
& ! [X6,X7] :
( ( leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(X4,X6,X7) = X5 ) )
=> a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5 ),
inference(rectify,[],[f47]) ).
fof(f111,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X1)
& leq(n0,X0)
& ! [X4] :
( ( leq(X4,X1)
& leq(n0,X4) )
=> a_select2(X2,X4) = X3 ) )
=> a_select2(tptp_update2(X2,X1,X3),X0) = X3 ),
inference(rectify,[],[f50]) ).
fof(f114,plain,
~ ( ( ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select3(center_init,X0,n0) )
& ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select3(q_init,X1,X2) ) )
& leq(pv10,n135299)
& leq(n0,pv10) )
=> ! [X3,X4] :
( ( leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
=> ( gt(pv10,X3)
=> init = a_select3(q_init,X3,X4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f116,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f119,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f121,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f124,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f125,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f147,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(ennf_transformation,[],[f109]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f112]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(X4,n4)
& leq(X3,n135299)
& leq(n0,X4)
& leq(n0,X3) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f159,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f161,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f163,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f165,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f167,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f169,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP0(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| sP0(X0,X2) ),
inference(definition_folding,[],[f137,f170]) ).
fof(f172,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP1(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| sP1(X0,X2) ),
inference(definition_folding,[],[f139,f172]) ).
fof(f174,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP2(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f175,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP3(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(definition_folding,[],[f145,f175,f174]) ).
fof(f177,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f178,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f179,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ? [X4,X5] :
( a_select3(X0,X4,X5) != a_select3(X0,X5,X4)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(rectify,[],[f131]) ).
fof(f180,plain,
! [X0,X1] :
( ? [X4,X5] :
( a_select3(X0,X4,X5) != a_select3(X0,X5,X4)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select3(X0,sK4(X0,X1),sK5(X0,X1)) != a_select3(X0,sK5(X0,X1),sK4(X0,X1))
& leq(sK5(X0,X1),X1)
& leq(n0,sK5(X0,X1))
& leq(sK4(X0,X1),X1)
& leq(n0,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ( a_select3(X0,sK4(X0,X1),sK5(X0,X1)) != a_select3(X0,sK5(X0,X1),sK4(X0,X1))
& leq(sK5(X0,X1),X1)
& leq(n0,sK5(X0,X1))
& leq(sK4(X0,X1),X1)
& leq(n0,sK4(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f179,f180]) ).
fof(f182,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ? [X4,X5] :
( a_select3(X0,X4,X5) != a_select3(X0,X5,X4)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(rectify,[],[f133]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X4,X5] :
( a_select3(X0,X4,X5) != a_select3(X0,X5,X4)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select3(X0,sK6(X0,X1),sK7(X0,X1)) != a_select3(X0,sK7(X0,X1),sK6(X0,X1))
& leq(sK7(X0,X1),X1)
& leq(n0,sK7(X0,X1))
& leq(sK6(X0,X1),X1)
& leq(n0,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ( a_select3(X0,sK6(X0,X1),sK7(X0,X1)) != a_select3(X0,sK7(X0,X1),sK6(X0,X1))
& leq(sK7(X0,X1),X1)
& leq(n0,sK7(X0,X1))
& leq(sK6(X0,X1),X1)
& leq(n0,sK6(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f182,f183]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ? [X6,X7] :
( a_select3(X0,X6,X7) != a_select3(X0,X7,X6)
& leq(X7,X1)
& leq(n0,X7)
& leq(X6,X1)
& leq(n0,X6) ) ),
inference(rectify,[],[f135]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X6,X7] :
( a_select3(X0,X6,X7) != a_select3(X0,X7,X6)
& leq(X7,X1)
& leq(n0,X7)
& leq(X6,X1)
& leq(n0,X6) )
=> ( a_select3(X0,sK8(X0,X1),sK9(X0,X1)) != a_select3(X0,sK9(X0,X1),sK8(X0,X1))
& leq(sK9(X0,X1),X1)
& leq(n0,sK9(X0,X1))
& leq(sK8(X0,X1),X1)
& leq(n0,sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| ( a_select3(X0,sK8(X0,X1),sK9(X0,X1)) != a_select3(X0,sK9(X0,X1),sK8(X0,X1))
& leq(sK9(X0,X1),X1)
& leq(n0,sK9(X0,X1))
& leq(sK8(X0,X1),X1)
& leq(n0,sK8(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f185,f186]) ).
fof(f188,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP0(X0,X2) ),
inference(nnf_transformation,[],[f170]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK10(X0,X1),sK11(X0,X1)) != a_select3(X0,sK11(X0,X1),sK10(X0,X1))
& leq(sK11(X0,X1),X1)
& leq(n0,sK11(X0,X1))
& leq(sK10(X0,X1),X1)
& leq(n0,sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X0,X1] :
( ( a_select3(X0,sK10(X0,X1),sK11(X0,X1)) != a_select3(X0,sK11(X0,X1),sK10(X0,X1))
& leq(sK11(X0,X1),X1)
& leq(n0,sK11(X0,X1))
& leq(sK10(X0,X1),X1)
& leq(n0,sK10(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f189,f190]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| sP0(X0,X2) ),
inference(rectify,[],[f171]) ).
fof(f193,plain,
! [X1,X2] :
( ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> ( a_select3(X1,sK12(X1,X2),sK13(X1,X2)) != a_select3(X1,sK13(X1,X2),sK12(X1,X2))
& leq(sK13(X1,X2),X2)
& leq(n0,sK13(X1,X2))
& leq(sK12(X1,X2),X2)
& leq(n0,sK12(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ( a_select3(X1,sK12(X1,X2),sK13(X1,X2)) != a_select3(X1,sK13(X1,X2),sK12(X1,X2))
& leq(sK13(X1,X2),X2)
& leq(n0,sK13(X1,X2))
& leq(sK12(X1,X2),X2)
& leq(n0,sK12(X1,X2)) )
| sP0(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f192,f193]) ).
fof(f195,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP1(X0,X2) ),
inference(nnf_transformation,[],[f172]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f195]) ).
fof(f197,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X0,X1] :
( ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f196,f197]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| sP1(X0,X2) ),
inference(rectify,[],[f173]) ).
fof(f200,plain,
! [X1,X2] :
( ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> ( a_select3(X1,sK16(X1,X2),sK17(X1,X2)) != a_select3(X1,sK17(X1,X2),sK16(X1,X2))
& leq(sK17(X1,X2),X2)
& leq(n0,sK17(X1,X2))
& leq(sK16(X1,X2),X2)
& leq(n0,sK16(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ( a_select3(X1,sK16(X1,X2),sK17(X1,X2)) != a_select3(X1,sK17(X1,X2),sK16(X1,X2))
& leq(sK17(X1,X2),X2)
& leq(n0,sK17(X1,X2))
& leq(sK16(X1,X2),X2)
& leq(n0,sK16(X1,X2)) )
| sP1(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f199,f200]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(rectify,[],[f141]) ).
fof(f203,plain,
! [X1,X2] :
( ? [X5,X6] :
( a_select3(X1,X5,X6) != a_select3(X1,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> ( a_select3(X1,sK18(X1,X2),sK19(X1,X2)) != a_select3(X1,sK19(X1,X2),sK18(X1,X2))
& leq(sK19(X1,X2),X2)
& leq(n0,sK19(X1,X2))
& leq(sK18(X1,X2),X2)
& leq(n0,sK18(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| ( a_select3(X1,sK18(X1,X2),sK19(X1,X2)) != a_select3(X1,sK19(X1,X2),sK18(X1,X2))
& leq(sK19(X1,X2),X2)
& leq(n0,sK19(X1,X2))
& leq(sK18(X1,X2),X2)
& leq(n0,sK18(X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f202,f203]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| ? [X6,X7] :
( a_select3(X1,X6,X7) != a_select3(X1,X7,X6)
& leq(X7,X3)
& leq(n0,X7)
& leq(X6,X3)
& leq(n0,X6) ) ),
inference(rectify,[],[f143]) ).
fof(f206,plain,
! [X1,X3] :
( ? [X6,X7] :
( a_select3(X1,X6,X7) != a_select3(X1,X7,X6)
& leq(X7,X3)
& leq(n0,X7)
& leq(X6,X3)
& leq(n0,X6) )
=> ( a_select3(X1,sK20(X1,X3),sK21(X1,X3)) != a_select3(X1,sK21(X1,X3),sK20(X1,X3))
& leq(sK21(X1,X3),X3)
& leq(n0,sK21(X1,X3))
& leq(sK20(X1,X3),X3)
& leq(n0,sK20(X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| ( a_select3(X1,sK20(X1,X3),sK21(X1,X3)) != a_select3(X1,sK21(X1,X3),sK20(X1,X3))
& leq(sK21(X1,X3),X3)
& leq(n0,sK21(X1,X3))
& leq(sK20(X1,X3),X3)
& leq(n0,sK20(X1,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f205,f206]) ).
fof(f208,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP3(X0,X6) ),
inference(nnf_transformation,[],[f175]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f208]) ).
fof(f210,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0,X1] :
( ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f209,f210]) ).
fof(f212,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP2(X3,X7) ),
inference(nnf_transformation,[],[f174]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f212]) ).
fof(f214,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0,X1] :
( ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f213,f214]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X5,X10,X11) != a_select3(X5,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(rectify,[],[f176]) ).
fof(f217,plain,
! [X5,X6] :
( ? [X10,X11] :
( a_select3(X5,X10,X11) != a_select3(X5,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> ( a_select3(X5,sK26(X5,X6),sK27(X5,X6)) != a_select3(X5,sK27(X5,X6),sK26(X5,X6))
& leq(sK27(X5,X6),X6)
& leq(n0,sK27(X5,X6))
& leq(sK26(X5,X6),X6)
& leq(n0,sK26(X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| ( a_select3(X5,sK26(X5,X6),sK27(X5,X6)) != a_select3(X5,sK27(X5,X6),sK26(X5,X6))
& leq(sK27(X5,X6),X6)
& leq(n0,sK27(X5,X6))
& leq(sK26(X5,X6),X6)
& leq(n0,sK26(X5,X6)) )
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f216,f217]) ).
fof(f219,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f220,plain,
! [X2,X3,X4,X5] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( a_select3(X4,sK28(X2,X3,X4,X5),sK29(X2,X3,X4,X5)) != X5
& leq(sK29(X2,X3,X4,X5),X3)
& leq(sK28(X2,X3,X4,X5),X2)
& leq(n0,sK29(X2,X3,X4,X5))
& leq(n0,sK28(X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ( a_select3(X4,sK28(X2,X3,X4,X5),sK29(X2,X3,X4,X5)) != X5
& leq(sK29(X2,X3,X4,X5),X3)
& leq(sK28(X2,X3,X4,X5),X2)
& leq(n0,sK29(X2,X3,X4,X5))
& leq(n0,sK28(X2,X3,X4,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f151,f220]) ).
fof(f222,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f155,f222]) ).
fof(f224,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& gt(pv10,X0)
& leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& gt(pv10,X0)
& leq(X1,n4)
& leq(X0,n135299)
& leq(n0,X1)
& leq(n0,X0) )
=> ( init != a_select3(q_init,sK31,sK32)
& gt(pv10,sK31)
& leq(sK32,n4)
& leq(sK31,n135299)
& leq(n0,sK32)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( init != a_select3(q_init,sK31,sK32)
& gt(pv10,sK31)
& leq(sK32,n4)
& leq(sK31,n135299)
& leq(n0,sK32)
& leq(n0,sK31)
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X3] :
( ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) )
& leq(pv10,n135299)
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f224,f225]) ).
fof(f227,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f228,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f229,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f230,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f232,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f233,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f234,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f235,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f236,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f237,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f238,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f239,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f240,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f241,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK4(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK5(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| a_select3(X0,sK4(X0,X1),sK5(X0,X1)) != a_select3(X0,sK5(X0,X1),sK4(X0,X1)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK6(X0,X1)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| a_select3(X0,sK6(X0,X1),sK7(X0,X1)) != a_select3(X0,sK7(X0,X1),sK6(X0,X1)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(n0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| leq(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| a_select3(X0,sK8(X0,X1),sK9(X0,X1)) != a_select3(X0,sK9(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f259,plain,
! [X0,X1] :
( leq(n0,sK10(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f260,plain,
! [X0,X1] :
( leq(sK10(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f261,plain,
! [X0,X1] :
( leq(n0,sK11(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f262,plain,
! [X0,X1] :
( leq(sK11(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f263,plain,
! [X0,X1] :
( a_select3(X0,sK10(X0,X1),sK11(X0,X1)) != a_select3(X0,sK11(X0,X1),sK10(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK12(X1,X2))
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f265,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK12(X1,X2),X2)
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK13(X1,X2))
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK13(X1,X2),X2)
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| a_select3(X1,sK12(X1,X2),sK13(X1,X2)) != a_select3(X1,sK13(X1,X2),sK12(X1,X2))
| sP0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f269,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f270,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f271,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f272,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f273,plain,
! [X0,X1] :
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK16(X1,X2))
| sP1(X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f275,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK16(X1,X2),X2)
| sP1(X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK17(X1,X2))
| sP1(X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK17(X1,X2),X2)
| sP1(X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| a_select3(X1,sK16(X1,X2),sK17(X1,X2)) != a_select3(X1,sK17(X1,X2),sK16(X1,X2))
| sP1(X0,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK18(X1,X2)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK18(X1,X2),X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(n0,sK19(X1,X2)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| leq(sK19(X1,X2),X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| a_select3(X1,sK18(X1,X2),sK19(X1,X2)) != a_select3(X1,sK19(X1,X2),sK18(X1,X2)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| leq(n0,sK20(X1,X3)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| leq(sK20(X1,X3),X3) ),
inference(cnf_transformation,[],[f207]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| leq(n0,sK21(X1,X3)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| leq(sK21(X1,X3),X3) ),
inference(cnf_transformation,[],[f207]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| a_select3(X1,sK20(X1,X3),sK21(X1,X3)) != a_select3(X1,sK21(X1,X3),sK20(X1,X3)) ),
inference(cnf_transformation,[],[f207]) ).
fof(f289,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f290,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f291,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f292,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f293,plain,
! [X0,X1] :
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f294,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f295,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f296,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f297,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f298,plain,
! [X0,X1] :
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(n0,sK26(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f218]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(sK26(X5,X6),X6)
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f218]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(n0,sK27(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f218]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| leq(sK27(X5,X6),X6)
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f218]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| a_select3(X5,sK26(X5,X6),sK27(X5,X6)) != a_select3(X5,sK27(X5,X6),sK26(X5,X6))
| sP3(X0,X6)
| sP2(X3,X7) ),
inference(cnf_transformation,[],[f218]) ).
fof(f304,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f305,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f107]) ).
fof(f306,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f307,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f308,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f309,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f310,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f311,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f312,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f313,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f314,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f315,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f316,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f317,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f318,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f319,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f320,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f219]) ).
fof(f321,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f322,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f323,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f324,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f108]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(cnf_transformation,[],[f149]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| leq(n0,sK28(X2,X3,X4,X5)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f327,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| leq(n0,sK29(X2,X3,X4,X5)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f328,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| leq(sK28(X2,X3,X4,X5),X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| leq(sK29(X2,X3,X4,X5),X3) ),
inference(cnf_transformation,[],[f221]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| a_select3(X4,sK28(X2,X3,X4,X5),sK29(X2,X3,X4,X5)) != X5 ),
inference(cnf_transformation,[],[f221]) ).
fof(f331,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f111]) ).
fof(f332,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f223]) ).
fof(f336,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f337,plain,
leq(n0,pv10),
inference(cnf_transformation,[],[f226]) ).
fof(f338,plain,
leq(pv10,n135299),
inference(cnf_transformation,[],[f226]) ).
fof(f339,plain,
! [X3,X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4)
| ~ leq(X3,pred(pv10))
| ~ leq(n0,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f340,plain,
! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f341,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f342,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f226]) ).
fof(f343,plain,
leq(sK31,n135299),
inference(cnf_transformation,[],[f226]) ).
fof(f344,plain,
leq(sK32,n4),
inference(cnf_transformation,[],[f226]) ).
fof(f345,plain,
gt(pv10,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f346,plain,
init != a_select3(q_init,sK31,sK32),
inference(cnf_transformation,[],[f226]) ).
fof(f347,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f348,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f349,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f350,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f351,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f352,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f353,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f354,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f355,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f356,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f357,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f358,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f359,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f360,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f361,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f362,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f363,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f364,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f365,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f366,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f367,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f368,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f369,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f370,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f371,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f372,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f373,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f374,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f375,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f376,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f377,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f378,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f379,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f380,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f381,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f382,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f383,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f384,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f385,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f386,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f235,f317]) ).
fof(f387,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f234,f317]) ).
fof(f388,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f236,f307]) ).
fof(f389,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f237,f307]) ).
fof(f390,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f239,f307]) ).
fof(f391,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f238,f307]) ).
fof(f392,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f306,f307]) ).
fof(f393,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f308,f307]) ).
fof(f394,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f309,f307,f307]) ).
fof(f395,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f310,f307,f307]) ).
fof(f396,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f311,f307,f307,f307]) ).
fof(f397,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f312,f307,f307,f307]) ).
fof(f398,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f313,f307,f307,f307,f307]) ).
fof(f399,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f314,f307,f307,f307,f307]) ).
fof(f400,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f315,f307,f307,f307,f307,f307]) ).
fof(f401,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f316,f307,f307,f307,f307,f307]) ).
fof(f402,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f318,f317,f307]) ).
fof(f403,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f319,f307,f317]) ).
fof(f404,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f321,f307,f307]) ).
fof(f405,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f320,f307,f307]) ).
fof(f406,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f322,f307]) ).
fof(f407,plain,
! [X3,X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4)
| ~ leq(X3,minus(pv10,n1))
| ~ leq(n0,X3) ),
inference(definition_unfolding,[],[f339,f317]) ).
fof(f408,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f381,f307,f307,f307,f307]) ).
fof(f409,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f382,f307,f307,f307,f307,f307]) ).
fof(f410,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f383,f307]) ).
fof(f411,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f384,f307,f307]) ).
fof(f412,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f385,f307,f307,f307]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X1,X6),X2,X3)
| X1 != X3
| X0 = X2 ),
inference(equality_resolution,[],[f325]) ).
fof(f414,plain,
! [X2,X3,X0,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ),
inference(equality_resolution,[],[f413]) ).
fof(f415,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f332]) ).
cnf(c_49,plain,
( X0 = X1
| gt(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_50,plain,
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_51,plain,
~ gt(X0,X0),
inference(cnf_transformation,[],[f229]) ).
cnf(c_52,plain,
leq(X0,X0),
inference(cnf_transformation,[],[f230]) ).
cnf(c_53,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_54,plain,
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_55,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_56,plain,
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_57,plain,
( ~ leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_58,plain,
gt(plus(X0,n1),X0),
inference(cnf_transformation,[],[f388]) ).
cnf(c_59,plain,
( ~ leq(X0,X1)
| leq(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_60,plain,
( ~ gt(plus(X0,n1),X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| gt(plus(X1,n1),X0) ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_62,plain,
( ~ leq(n0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_63,plain,
( ~ leq(n0,X0)
| leq(n0,uniform_int_rnd(X1,X0)) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_64,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| a_select2(tptp_const_array1(dim(X2,X1),X3),X0) = X3 ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_65,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X0)
| ~ leq(X3,X4)
| ~ leq(X5,X3)
| a_select3(tptp_const_array2(dim(X2,X1),dim(X5,X4),X6),X0,X3) = X6 ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_66,plain,
( a_select3(X0,sK4(X0,X1),sK5(X0,X1)) != a_select3(X0,sK5(X0,X1),sK4(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_67,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(trans(X3),X0,X2) = a_select3(trans(X3),X2,X0)
| leq(sK5(X3,X1),X1) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_68,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(trans(X3),X0,X2) = a_select3(trans(X3),X2,X0)
| leq(n0,sK5(X3,X1)) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_69,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(trans(X3),X0,X2) = a_select3(trans(X3),X2,X0)
| leq(sK4(X3,X1),X1) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_70,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(trans(X3),X0,X2) = a_select3(trans(X3),X2,X0)
| leq(n0,sK4(X3,X1)) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_71,plain,
( a_select3(X0,sK6(X0,X1),sK7(X0,X1)) != a_select3(X0,sK7(X0,X1),sK6(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_72,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(inv(X3),X0,X2) = a_select3(inv(X3),X2,X0)
| leq(sK7(X3,X1),X1) ),
inference(cnf_transformation,[],[f252]) ).
cnf(c_73,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(inv(X3),X0,X2) = a_select3(inv(X3),X2,X0)
| leq(n0,sK7(X3,X1)) ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_74,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(inv(X3),X0,X2) = a_select3(inv(X3),X2,X0)
| leq(sK6(X3,X1),X1) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_75,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(inv(X3),X0,X2) = a_select3(inv(X3),X2,X0)
| leq(n0,sK6(X3,X1)) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_76,plain,
( a_select3(X0,sK8(X0,X1),sK9(X0,X1)) != a_select3(X0,sK9(X0,X1),sK8(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(X4,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(n0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2) ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_77,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_update3(X4,X3,X3,X5),X0,X2) = a_select3(tptp_update3(X4,X3,X3,X5),X2,X0)
| leq(sK9(X4,X1),X1) ),
inference(cnf_transformation,[],[f257]) ).
cnf(c_78,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_update3(X4,X3,X3,X5),X0,X2) = a_select3(tptp_update3(X4,X3,X3,X5),X2,X0)
| leq(n0,sK9(X4,X1)) ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_79,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_update3(X4,X3,X3,X5),X0,X2) = a_select3(tptp_update3(X4,X3,X3,X5),X2,X0)
| leq(sK8(X4,X1),X1) ),
inference(cnf_transformation,[],[f255]) ).
cnf(c_80,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_update3(X4,X3,X3,X5),X0,X2) = a_select3(tptp_update3(X4,X3,X3,X5),X2,X0)
| leq(n0,sK8(X4,X1)) ),
inference(cnf_transformation,[],[f254]) ).
cnf(c_81,plain,
( a_select3(X0,sK10(X0,X1),sK11(X0,X1)) != a_select3(X0,sK11(X0,X1),sK10(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_82,plain,
( ~ sP0(X0,X1)
| leq(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_83,plain,
( ~ sP0(X0,X1)
| leq(n0,sK11(X0,X1)) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_84,plain,
( ~ sP0(X0,X1)
| leq(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_85,plain,
( ~ sP0(X0,X1)
| leq(n0,sK10(X0,X1)) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_86,plain,
( a_select3(X0,sK12(X0,X1),sK13(X0,X1)) != a_select3(X0,sK13(X0,X1),sK12(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_madd(X4,X0),X2,X3) = a_select3(tptp_madd(X4,X0),X3,X2)
| sP0(X4,X1) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_87,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,X4),X0,X2) = a_select3(tptp_madd(X3,X4),X2,X0)
| leq(sK13(X4,X1),X1)
| sP0(X3,X1) ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_88,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,X4),X0,X2) = a_select3(tptp_madd(X3,X4),X2,X0)
| leq(n0,sK13(X4,X1))
| sP0(X3,X1) ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_89,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,X4),X0,X2) = a_select3(tptp_madd(X3,X4),X2,X0)
| leq(sK12(X4,X1),X1)
| sP0(X3,X1) ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_90,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,X4),X0,X2) = a_select3(tptp_madd(X3,X4),X2,X0)
| leq(n0,sK12(X4,X1))
| sP0(X3,X1) ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_91,plain,
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_92,plain,
( ~ sP1(X0,X1)
| leq(sK15(X0,X1),X1) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_93,plain,
( ~ sP1(X0,X1)
| leq(n0,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_94,plain,
( ~ sP1(X0,X1)
| leq(sK14(X0,X1),X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_95,plain,
( ~ sP1(X0,X1)
| leq(n0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_96,plain,
( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_msub(X4,X0),X2,X3) = a_select3(tptp_msub(X4,X0),X3,X2)
| sP1(X4,X1) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_97,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_msub(X3,X4),X0,X2) = a_select3(tptp_msub(X3,X4),X2,X0)
| leq(sK17(X4,X1),X1)
| sP1(X3,X1) ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_98,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_msub(X3,X4),X0,X2) = a_select3(tptp_msub(X3,X4),X2,X0)
| leq(n0,sK17(X4,X1))
| sP1(X3,X1) ),
inference(cnf_transformation,[],[f276]) ).
cnf(c_99,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_msub(X3,X4),X0,X2) = a_select3(tptp_msub(X3,X4),X2,X0)
| leq(sK16(X4,X1),X1)
| sP1(X3,X1) ),
inference(cnf_transformation,[],[f275]) ).
cnf(c_100,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_msub(X3,X4),X0,X2) = a_select3(tptp_msub(X3,X4),X2,X0)
| leq(n0,sK16(X4,X1))
| sP1(X3,X1) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_101,plain,
( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_mmul(X4,tptp_mmul(X0,trans(X4))),X2,X3) = a_select3(tptp_mmul(X4,tptp_mmul(X0,trans(X4))),X3,X2) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_102,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(sK19(X4,X1),X1) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_103,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(n0,sK19(X4,X1)) ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_104,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(sK18(X4,X1),X1) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_105,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(n0,sK18(X4,X1)) ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_106,plain,
( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
| ~ leq(X2,X3)
| ~ leq(X4,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X4)
| a_select3(tptp_mmul(X5,tptp_mmul(X0,trans(X5))),X2,X4) = a_select3(tptp_mmul(X5,tptp_mmul(X0,trans(X5))),X4,X2) ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_107,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(sK21(X4,X5),X5) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_108,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(n0,sK21(X4,X5)) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_109,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(sK20(X4,X5),X5) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_110,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X0,X2) = a_select3(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),X2,X0)
| leq(n0,sK20(X4,X5)) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_111,plain,
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_112,plain,
( ~ sP3(X0,X1)
| leq(sK23(X0,X1),X1) ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_113,plain,
( ~ sP3(X0,X1)
| leq(n0,sK23(X0,X1)) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_114,plain,
( ~ sP3(X0,X1)
| leq(sK22(X0,X1),X1) ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_115,plain,
( ~ sP3(X0,X1)
| leq(n0,sK22(X0,X1)) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_116,plain,
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_117,plain,
( ~ sP2(X0,X1)
| leq(sK25(X0,X1),X1) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_118,plain,
( ~ sP2(X0,X1)
| leq(n0,sK25(X0,X1)) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_119,plain,
( ~ sP2(X0,X1)
| leq(sK24(X0,X1),X1) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_120,plain,
( ~ sP2(X0,X1)
| leq(n0,sK24(X0,X1)) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_121,plain,
( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
| ~ leq(X2,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| a_select3(tptp_madd(X4,tptp_mmul(X5,tptp_mmul(tptp_madd(tptp_mmul(X6,tptp_mmul(X7,trans(X6))),tptp_mmul(X8,tptp_mmul(X0,trans(X8)))),trans(X5)))),X2,X3) = a_select3(tptp_madd(X4,tptp_mmul(X5,tptp_mmul(tptp_madd(tptp_mmul(X6,tptp_mmul(X7,trans(X6))),tptp_mmul(X8,tptp_mmul(X0,trans(X8)))),trans(X5)))),X3,X2)
| sP3(X4,X1)
| sP2(X7,X9) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_122,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0)
| leq(sK27(X8,X1),X1)
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_123,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0)
| leq(n0,sK27(X8,X1))
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_124,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0)
| leq(sK26(X8,X1),X1)
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_125,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X0,X2) = a_select3(tptp_madd(X3,tptp_mmul(X4,tptp_mmul(tptp_madd(tptp_mmul(X5,tptp_mmul(X6,trans(X5))),tptp_mmul(X7,tptp_mmul(X8,trans(X7)))),trans(X4)))),X2,X0)
| leq(n0,sK26(X8,X1))
| sP3(X3,X1)
| sP2(X6,X9) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_126,plain,
sum(n0,tptp_minus_1,X0) = n0,
inference(cnf_transformation,[],[f304]) ).
cnf(c_127,plain,
sum(n0,tptp_minus_1,X0) = tptp_float_0_0,
inference(cnf_transformation,[],[f305]) ).
cnf(c_128,plain,
plus(tptp_minus_1,n1) = n0,
inference(cnf_transformation,[],[f392]) ).
cnf(c_129,plain,
plus(X0,n1) = plus(n1,X0),
inference(cnf_transformation,[],[f393]) ).
cnf(c_130,plain,
plus(plus(X0,n1),n1) = plus(X0,n2),
inference(cnf_transformation,[],[f394]) ).
cnf(c_131,plain,
plus(plus(X0,n1),n1) = plus(n2,X0),
inference(cnf_transformation,[],[f395]) ).
cnf(c_132,plain,
plus(plus(plus(X0,n1),n1),n1) = plus(X0,n3),
inference(cnf_transformation,[],[f396]) ).
cnf(c_133,plain,
plus(plus(plus(X0,n1),n1),n1) = plus(n3,X0),
inference(cnf_transformation,[],[f397]) ).
cnf(c_134,plain,
plus(plus(plus(plus(X0,n1),n1),n1),n1) = plus(X0,n4),
inference(cnf_transformation,[],[f398]) ).
cnf(c_135,plain,
plus(plus(plus(plus(X0,n1),n1),n1),n1) = plus(n4,X0),
inference(cnf_transformation,[],[f399]) ).
cnf(c_136,plain,
plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1) = plus(X0,n5),
inference(cnf_transformation,[],[f400]) ).
cnf(c_137,plain,
plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1) = plus(n5,X0),
inference(cnf_transformation,[],[f401]) ).
cnf(c_138,plain,
minus(plus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f402]) ).
cnf(c_139,plain,
plus(minus(X0,n1),n1) = X0,
inference(cnf_transformation,[],[f403]) ).
cnf(c_140,plain,
( ~ leq(X0,X1)
| leq(plus(X0,n1),plus(X1,n1)) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_141,plain,
( ~ leq(plus(X0,n1),plus(X1,n1))
| leq(X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_142,plain,
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_143,plain,
( ~ leq(minus(X0,X1),X0)
| leq(n0,X1) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_144,plain,
a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f324]) ).
cnf(c_145,plain,
( a_select3(tptp_update3(X0,X1,X2,X3),X4,X2) = a_select3(X0,X4,X2)
| X1 = X4 ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_146,plain,
( a_select3(X0,sK28(X1,X2,X0,X3),sK29(X1,X2,X0,X3)) != X3
| ~ leq(X4,X1)
| ~ leq(X5,X2)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| a_select3(tptp_update3(X0,X1,X2,X3),X4,X5) = X3 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_147,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X3)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_update3(X4,X1,X3,X5),X0,X2) = X5
| leq(sK29(X1,X3,X4,X5),X3) ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_148,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X3)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_update3(X4,X1,X3,X5),X0,X2) = X5
| leq(sK28(X1,X3,X4,X5),X1) ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_149,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X3)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_update3(X4,X1,X3,X5),X0,X2) = X5
| leq(n0,sK29(X1,X3,X4,X5)) ),
inference(cnf_transformation,[],[f327]) ).
cnf(c_150,plain,
( ~ leq(X0,X1)
| ~ leq(X2,X3)
| ~ leq(n0,X0)
| ~ leq(n0,X2)
| a_select3(tptp_update3(X4,X1,X3,X5),X0,X2) = X5
| leq(n0,sK28(X1,X3,X4,X5)) ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_151,plain,
a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f331]) ).
cnf(c_152,plain,
( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_153,plain,
( a_select2(X0,sK30(X1,X0,X2)) != X2
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| a_select2(tptp_update2(X0,X1,X2),X3) = X2 ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_154,plain,
( ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| leq(sK30(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_155,plain,
( ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| leq(n0,sK30(X1,X2,X3)) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_156,plain,
def != use,
inference(cnf_transformation,[],[f336]) ).
cnf(c_157,negated_conjecture,
a_select3(q_init,sK31,sK32) != init,
inference(cnf_transformation,[],[f346]) ).
cnf(c_158,negated_conjecture,
gt(pv10,sK31),
inference(cnf_transformation,[],[f345]) ).
cnf(c_159,negated_conjecture,
leq(sK32,n4),
inference(cnf_transformation,[],[f344]) ).
cnf(c_160,negated_conjecture,
leq(sK31,n135299),
inference(cnf_transformation,[],[f343]) ).
cnf(c_161,negated_conjecture,
leq(n0,sK32),
inference(cnf_transformation,[],[f342]) ).
cnf(c_162,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f341]) ).
cnf(c_163,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| a_select3(center_init,X0,n0) = init ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_164,negated_conjecture,
( ~ leq(X0,minus(pv10,n1))
| ~ leq(X1,n4)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,X0,X1) = init ),
inference(cnf_transformation,[],[f407]) ).
cnf(c_165,negated_conjecture,
leq(pv10,n135299),
inference(cnf_transformation,[],[f338]) ).
cnf(c_166,negated_conjecture,
leq(n0,pv10),
inference(cnf_transformation,[],[f337]) ).
cnf(c_167,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f347]) ).
cnf(c_168,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f348]) ).
cnf(c_169,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f349]) ).
cnf(c_170,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f350]) ).
cnf(c_171,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f351]) ).
cnf(c_172,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f352]) ).
cnf(c_173,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f353]) ).
cnf(c_174,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f354]) ).
cnf(c_175,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f355]) ).
cnf(c_176,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f356]) ).
cnf(c_177,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f357]) ).
cnf(c_178,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f358]) ).
cnf(c_179,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f359]) ).
cnf(c_180,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f360]) ).
cnf(c_181,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f361]) ).
cnf(c_182,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f362]) ).
cnf(c_183,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f363]) ).
cnf(c_184,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f364]) ).
cnf(c_185,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f365]) ).
cnf(c_186,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f366]) ).
cnf(c_187,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f367]) ).
cnf(c_188,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f368]) ).
cnf(c_189,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f369]) ).
cnf(c_190,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f370]) ).
cnf(c_191,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f371]) ).
cnf(c_192,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f372]) ).
cnf(c_193,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f373]) ).
cnf(c_194,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f374]) ).
cnf(c_195,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2
| X0 = n3
| X0 = n4 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_196,plain,
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_197,plain,
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_198,plain,
( ~ leq(X0,n1)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_199,plain,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2 ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_200,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2
| X0 = n3 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_201,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(cnf_transformation,[],[f408]) ).
cnf(c_202,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(cnf_transformation,[],[f409]) ).
cnf(c_203,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f410]) ).
cnf(c_204,plain,
plus(plus(n0,n1),n1) = n2,
inference(cnf_transformation,[],[f411]) ).
cnf(c_205,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(cnf_transformation,[],[f412]) ).
cnf(c_1656,plain,
n0 = tptp_float_0_0,
inference(demodulation,[status(thm)],[c_127,c_126]) ).
cnf(c_1659,plain,
plus(n1,n1) = n2,
inference(light_normalisation,[status(thm)],[c_204,c_203]) ).
cnf(c_1660,plain,
plus(n1,minus(X0,n1)) = X0,
inference(demodulation,[status(thm)],[c_139,c_129]) ).
cnf(c_1661,plain,
plus(n1,tptp_minus_1) = n0,
inference(demodulation,[status(thm)],[c_128,c_129]) ).
cnf(c_1762,plain,
plus(n2,n1) = n3,
inference(light_normalisation,[status(thm)],[c_205,c_203,c_1659]) ).
cnf(c_1763,plain,
plus(n1,n2) = n3,
inference(demodulation,[status(thm)],[c_1762,c_129]) ).
cnf(c_1764,plain,
plus(n1,plus(X0,n1)) = plus(n2,X0),
inference(demodulation,[status(thm)],[c_131,c_129]) ).
cnf(c_1765,plain,
plus(X0,n2) = plus(n2,X0),
inference(demodulation,[status(thm)],[c_130,c_129,c_1764]) ).
cnf(c_1798,plain,
plus(plus(n2,n1),n1) = n4,
inference(light_normalisation,[status(thm)],[c_201,c_203,c_1659]) ).
cnf(c_1799,plain,
plus(n2,n2) = n4,
inference(demodulation,[status(thm)],[c_1798,c_129,c_1764]) ).
cnf(c_1806,plain,
plus(n2,plus(X0,n1)) = plus(n3,X0),
inference(demodulation,[status(thm)],[c_133,c_129,c_1764]) ).
cnf(c_1807,plain,
plus(X0,n3) = plus(n3,X0),
inference(demodulation,[status(thm)],[c_132,c_129,c_1764,c_1806]) ).
cnf(c_1808,plain,
plus(plus(plus(n2,n1),n1),n1) = n5,
inference(light_normalisation,[status(thm)],[c_202,c_203,c_1659]) ).
cnf(c_1809,plain,
plus(n2,n3) = n5,
inference(demodulation,[status(thm)],[c_1808,c_129,c_1764,c_1806,c_1807]) ).
cnf(c_1810,plain,
plus(n3,plus(X0,n1)) = plus(n4,X0),
inference(demodulation,[status(thm)],[c_135,c_129,c_1764,c_1806]) ).
cnf(c_1811,plain,
plus(X0,n4) = plus(n4,X0),
inference(demodulation,[status(thm)],[c_134,c_129,c_1764,c_1806,c_1810]) ).
cnf(c_1830,plain,
plus(n4,plus(X0,n1)) = plus(n5,X0),
inference(demodulation,[status(thm)],[c_137,c_129,c_1764,c_1806,c_1810]) ).
cnf(c_1831,plain,
plus(X0,n5) = plus(n5,X0),
inference(demodulation,[status(thm)],[c_136,c_129,c_1764,c_1806,c_1810,c_1830]) ).
cnf(c_5877,plain,
minus(pv10,n1) = sP0_iProver_def,
definition ).
cnf(c_5878,plain,
a_select3(q_init,sK31,sK32) = sP1_iProver_def,
definition ).
cnf(c_5879,negated_conjecture,
leq(n0,pv10),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_5880,negated_conjecture,
leq(pv10,n135299),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_5881,negated_conjecture,
( ~ leq(X0,sP0_iProver_def)
| ~ leq(X1,n4)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,X0,X1) = init ),
inference(demodulation,[status(thm)],[c_164,c_5877]) ).
cnf(c_5882,negated_conjecture,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| a_select3(center_init,X0,n0) = init ),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_5883,negated_conjecture,
leq(n0,sK31),
inference(demodulation,[status(thm)],[c_162]) ).
cnf(c_5884,negated_conjecture,
leq(n0,sK32),
inference(demodulation,[status(thm)],[c_161]) ).
cnf(c_5885,negated_conjecture,
leq(sK31,n135299),
inference(demodulation,[status(thm)],[c_160]) ).
cnf(c_5886,negated_conjecture,
leq(sK32,n4),
inference(demodulation,[status(thm)],[c_159]) ).
cnf(c_5887,negated_conjecture,
gt(pv10,sK31),
inference(demodulation,[status(thm)],[c_158]) ).
cnf(c_5888,negated_conjecture,
sP1_iProver_def != init,
inference(demodulation,[status(thm)],[c_157,c_5878]) ).
cnf(c_8847,plain,
( ~ leq(n0,n4)
| a_select3(center_init,n0,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_5882]) ).
cnf(c_8848,plain,
( ~ leq(sK32,n4)
| a_select3(center_init,sK32,n0) = init ),
inference(superposition,[status(thm)],[c_5884,c_5882]) ).
cnf(c_8849,plain,
( ~ leq(sK31,n4)
| a_select3(center_init,sK31,n0) = init ),
inference(superposition,[status(thm)],[c_5883,c_5882]) ).
cnf(c_8850,plain,
( ~ leq(pv10,n4)
| a_select3(center_init,pv10,n0) = init ),
inference(superposition,[status(thm)],[c_5879,c_5882]) ).
cnf(c_8855,plain,
a_select3(center_init,sK32,n0) = init,
inference(forward_subsumption_resolution,[status(thm)],[c_8848,c_5886]) ).
cnf(c_8868,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,X0) = init ),
inference(superposition,[status(thm)],[c_52,c_5881]) ).
cnf(c_8869,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,X0) = init ),
inference(superposition,[status(thm)],[c_5884,c_5881]) ).
cnf(c_8870,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,X0) = init ),
inference(superposition,[status(thm)],[c_5883,c_5881]) ).
cnf(c_8871,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,X0) = init ),
inference(superposition,[status(thm)],[c_5879,c_5881]) ).
cnf(c_8911,plain,
( ~ leq(n0,n4)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_8868]) ).
cnf(c_8912,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n0,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_8868]) ).
cnf(c_8913,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n0,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_8868]) ).
cnf(c_8914,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n0,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_8868]) ).
cnf(c_8921,plain,
( ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_8912,c_5886]) ).
cnf(c_8951,plain,
( ~ leq(n0,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_8869]) ).
cnf(c_8952,plain,
( ~ leq(sK32,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_8869]) ).
cnf(c_8953,plain,
( ~ leq(sK31,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_8869]) ).
cnf(c_8954,plain,
( ~ leq(sK32,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,sK32,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_8869]) ).
cnf(c_8961,plain,
( ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_8952,c_5886]) ).
cnf(c_8991,plain,
( ~ leq(n0,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_8870]) ).
cnf(c_8992,plain,
( ~ leq(sK31,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,sK31,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_8870]) ).
cnf(c_8993,plain,
( ~ leq(sK31,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_8870]) ).
cnf(c_8994,plain,
( ~ leq(sK31,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,sK31,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_8870]) ).
cnf(c_9001,plain,
( ~ leq(sK31,sP0_iProver_def)
| ~ leq(sK32,n4)
| init = sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8992,c_5878]) ).
cnf(c_9002,plain,
( ~ leq(sK31,sP0_iProver_def)
| init = sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_9001,c_5886]) ).
cnf(c_9032,plain,
( ~ leq(n0,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_8871]) ).
cnf(c_9033,plain,
( ~ leq(sK32,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_8871]) ).
cnf(c_9034,plain,
( ~ leq(sK31,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_8871]) ).
cnf(c_9035,plain,
( ~ leq(pv10,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_8871]) ).
cnf(c_9042,plain,
( ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9033,c_5886]) ).
cnf(c_9090,plain,
plus(n1,sP0_iProver_def) = pv10,
inference(superposition,[status(thm)],[c_5877,c_1660]) ).
cnf(c_9091,plain,
plus(sP0_iProver_def,n1) = pv10,
inference(demodulation,[status(thm)],[c_9090,c_129]) ).
cnf(c_9092,plain,
gt(pv10,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9091,c_58]) ).
cnf(c_9093,plain,
plus(n1,n1) = plus(n2,n0),
inference(superposition,[status(thm)],[c_203,c_1764]) ).
cnf(c_9094,plain,
plus(n1,n2) = plus(n2,n1),
inference(superposition,[status(thm)],[c_1659,c_1764]) ).
cnf(c_9095,plain,
plus(n1,pv10) = plus(n2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9091,c_1764]) ).
cnf(c_9096,plain,
plus(n2,n1) = n3,
inference(light_normalisation,[status(thm)],[c_9094,c_1763]) ).
cnf(c_9097,plain,
plus(n2,n0) = n2,
inference(light_normalisation,[status(thm)],[c_9093,c_1659]) ).
cnf(c_9102,plain,
leq(X0,plus(X0,n1)),
inference(superposition,[status(thm)],[c_58,c_54]) ).
cnf(c_9103,plain,
leq(sK31,pv10),
inference(superposition,[status(thm)],[c_5887,c_54]) ).
cnf(c_9104,plain,
leq(n4,n5),
inference(superposition,[status(thm)],[c_167,c_54]) ).
cnf(c_9105,plain,
leq(n4,n135299),
inference(superposition,[status(thm)],[c_168,c_54]) ).
cnf(c_9106,plain,
leq(n5,n135299),
inference(superposition,[status(thm)],[c_169,c_54]) ).
cnf(c_9107,plain,
leq(tptp_minus_1,n4),
inference(superposition,[status(thm)],[c_170,c_54]) ).
cnf(c_9108,plain,
leq(tptp_minus_1,n5),
inference(superposition,[status(thm)],[c_171,c_54]) ).
cnf(c_9109,plain,
leq(tptp_minus_1,n135299),
inference(superposition,[status(thm)],[c_172,c_54]) ).
cnf(c_9110,plain,
leq(tptp_minus_1,n0),
inference(superposition,[status(thm)],[c_173,c_54]) ).
cnf(c_9111,plain,
leq(tptp_minus_1,n1),
inference(superposition,[status(thm)],[c_174,c_54]) ).
cnf(c_9112,plain,
leq(tptp_minus_1,n2),
inference(superposition,[status(thm)],[c_175,c_54]) ).
cnf(c_9113,plain,
leq(tptp_minus_1,n3),
inference(superposition,[status(thm)],[c_176,c_54]) ).
cnf(c_9114,plain,
leq(n0,n4),
inference(superposition,[status(thm)],[c_177,c_54]) ).
cnf(c_9115,plain,
leq(n0,n5),
inference(superposition,[status(thm)],[c_178,c_54]) ).
cnf(c_9116,plain,
leq(n0,n135299),
inference(superposition,[status(thm)],[c_179,c_54]) ).
cnf(c_9117,plain,
leq(n0,n1),
inference(superposition,[status(thm)],[c_180,c_54]) ).
cnf(c_9118,plain,
leq(n0,n2),
inference(superposition,[status(thm)],[c_181,c_54]) ).
cnf(c_9119,plain,
leq(n0,n3),
inference(superposition,[status(thm)],[c_182,c_54]) ).
cnf(c_9120,plain,
leq(n1,n4),
inference(superposition,[status(thm)],[c_183,c_54]) ).
cnf(c_9121,plain,
leq(n1,n5),
inference(superposition,[status(thm)],[c_184,c_54]) ).
cnf(c_9122,plain,
leq(n1,n135299),
inference(superposition,[status(thm)],[c_185,c_54]) ).
cnf(c_9123,plain,
leq(n1,n2),
inference(superposition,[status(thm)],[c_186,c_54]) ).
cnf(c_9124,plain,
leq(n1,n3),
inference(superposition,[status(thm)],[c_187,c_54]) ).
cnf(c_9125,plain,
leq(n2,n4),
inference(superposition,[status(thm)],[c_188,c_54]) ).
cnf(c_9126,plain,
leq(n2,n5),
inference(superposition,[status(thm)],[c_189,c_54]) ).
cnf(c_9127,plain,
leq(n2,n135299),
inference(superposition,[status(thm)],[c_190,c_54]) ).
cnf(c_9128,plain,
leq(n2,n3),
inference(superposition,[status(thm)],[c_191,c_54]) ).
cnf(c_9129,plain,
leq(n3,n4),
inference(superposition,[status(thm)],[c_192,c_54]) ).
cnf(c_9130,plain,
leq(n3,n5),
inference(superposition,[status(thm)],[c_193,c_54]) ).
cnf(c_9131,plain,
leq(n3,n135299),
inference(superposition,[status(thm)],[c_194,c_54]) ).
cnf(c_9132,plain,
( ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n0) = init ),
inference(backward_subsumption_resolution,[status(thm)],[c_9032,c_9114]) ).
cnf(c_9133,plain,
( ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n0) = init ),
inference(backward_subsumption_resolution,[status(thm)],[c_8991,c_9114]) ).
cnf(c_9134,plain,
( ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n0) = init ),
inference(backward_subsumption_resolution,[status(thm)],[c_8951,c_9114]) ).
cnf(c_9135,plain,
( ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,n0) = init ),
inference(backward_subsumption_resolution,[status(thm)],[c_8911,c_9114]) ).
cnf(c_9136,plain,
a_select3(center_init,n0,n0) = init,
inference(backward_subsumption_resolution,[status(thm)],[c_8847,c_9114]) ).
cnf(c_9146,plain,
plus(n1,plus(n1,X0)) = plus(n2,X0),
inference(superposition,[status(thm)],[c_129,c_1764]) ).
cnf(c_9147,plain,
gt(plus(n1,X0),X0),
inference(superposition,[status(thm)],[c_129,c_58]) ).
cnf(c_9150,plain,
leq(sP0_iProver_def,pv10),
inference(superposition,[status(thm)],[c_9092,c_54]) ).
cnf(c_9167,plain,
plus(n2,plus(n1,X0)) = plus(n3,X0),
inference(superposition,[status(thm)],[c_129,c_1806]) ).
cnf(c_9168,plain,
plus(n2,n1) = plus(n3,n0),
inference(superposition,[status(thm)],[c_203,c_1806]) ).
cnf(c_9169,plain,
plus(n2,n2) = plus(n3,n1),
inference(superposition,[status(thm)],[c_1659,c_1806]) ).
cnf(c_9170,plain,
plus(n2,pv10) = plus(n3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9091,c_1806]) ).
cnf(c_9171,plain,
plus(n3,n1) = n4,
inference(light_normalisation,[status(thm)],[c_9169,c_1799]) ).
cnf(c_9172,plain,
plus(n3,n0) = n3,
inference(light_normalisation,[status(thm)],[c_9168,c_9096]) ).
cnf(c_9174,plain,
minus(plus(n1,X0),n1) = X0,
inference(superposition,[status(thm)],[c_129,c_138]) ).
cnf(c_9175,plain,
minus(n1,n1) = n0,
inference(superposition,[status(thm)],[c_203,c_138]) ).
cnf(c_9176,plain,
minus(n2,n1) = n1,
inference(superposition,[status(thm)],[c_1659,c_138]) ).
cnf(c_9180,plain,
minus(plus(n1,n2),n1) = n2,
inference(superposition,[status(thm)],[c_1765,c_138]) ).
cnf(c_9181,plain,
plus(n2,plus(n1,n2)) = plus(n3,n2),
inference(superposition,[status(thm)],[c_1765,c_1806]) ).
cnf(c_9182,plain,
plus(n1,plus(n1,n2)) = plus(n2,n2),
inference(superposition,[status(thm)],[c_1765,c_1764]) ).
cnf(c_9183,plain,
gt(plus(n1,n2),n2),
inference(superposition,[status(thm)],[c_1765,c_58]) ).
cnf(c_9185,plain,
minus(n3,n1) = n2,
inference(light_normalisation,[status(thm)],[c_9180,c_1763]) ).
cnf(c_9186,plain,
plus(n1,n3) = n4,
inference(light_normalisation,[status(thm)],[c_9182,c_1763,c_1799]) ).
cnf(c_9187,plain,
plus(n3,n2) = n5,
inference(light_normalisation,[status(thm)],[c_9181,c_1763,c_1809]) ).
cnf(c_9188,plain,
minus(plus(n1,n3),n1) = n3,
inference(superposition,[status(thm)],[c_1807,c_138]) ).
cnf(c_9189,plain,
plus(n2,plus(n1,n3)) = plus(n3,n3),
inference(superposition,[status(thm)],[c_1807,c_1806]) ).
cnf(c_9190,plain,
plus(n1,plus(n1,n3)) = plus(n2,n3),
inference(superposition,[status(thm)],[c_1807,c_1764]) ).
cnf(c_9191,plain,
gt(plus(n1,n3),n3),
inference(superposition,[status(thm)],[c_1807,c_58]) ).
cnf(c_9193,plain,
minus(n4,n1) = n3,
inference(light_normalisation,[status(thm)],[c_9188,c_9186]) ).
cnf(c_9194,plain,
plus(n1,n4) = n5,
inference(light_normalisation,[status(thm)],[c_9190,c_1809,c_9186]) ).
cnf(c_9195,plain,
plus(n2,n4) = plus(n3,n3),
inference(light_normalisation,[status(thm)],[c_9189,c_9186]) ).
cnf(c_9196,plain,
minus(plus(n1,n4),n1) = n4,
inference(superposition,[status(thm)],[c_1811,c_138]) ).
cnf(c_9197,plain,
plus(n2,plus(n1,n4)) = plus(n3,n4),
inference(superposition,[status(thm)],[c_1811,c_1806]) ).
cnf(c_9198,plain,
plus(n1,plus(n1,n4)) = plus(n2,n4),
inference(superposition,[status(thm)],[c_1811,c_1764]) ).
cnf(c_9199,plain,
gt(plus(n1,n4),n4),
inference(superposition,[status(thm)],[c_1811,c_58]) ).
cnf(c_9201,plain,
minus(n5,n1) = n4,
inference(light_normalisation,[status(thm)],[c_9196,c_9194]) ).
cnf(c_9202,plain,
plus(n1,n5) = plus(n2,n4),
inference(light_normalisation,[status(thm)],[c_9198,c_9194]) ).
cnf(c_9203,plain,
plus(n2,n5) = plus(n3,n4),
inference(light_normalisation,[status(thm)],[c_9197,c_9194]) ).
cnf(c_9204,plain,
( ~ leq(n4,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_8871]) ).
cnf(c_9205,plain,
( ~ leq(n4,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_8870]) ).
cnf(c_9206,plain,
( ~ leq(n4,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_8869]) ).
cnf(c_9207,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(n4,n4)
| a_select3(q_init,n0,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_8868]) ).
cnf(c_9208,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,X0) = init ),
inference(superposition,[status(thm)],[c_9114,c_5881]) ).
cnf(c_9209,plain,
( ~ leq(n4,n4)
| a_select3(center_init,n4,n0) = init ),
inference(superposition,[status(thm)],[c_9114,c_5882]) ).
cnf(c_9210,plain,
a_select3(center_init,n4,n0) = init,
inference(forward_subsumption_resolution,[status(thm)],[c_9209,c_52]) ).
cnf(c_9211,plain,
( ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9207,c_52]) ).
cnf(c_9214,plain,
( ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9206,c_52]) ).
cnf(c_9217,plain,
( ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9205,c_52]) ).
cnf(c_9220,plain,
( ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9204,c_52]) ).
cnf(c_9236,plain,
( ~ leq(n0,n4)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9208]) ).
cnf(c_9237,plain,
( ~ leq(n4,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n4,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9208]) ).
cnf(c_9238,plain,
( ~ leq(n4,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n4,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9208]) ).
cnf(c_9239,plain,
( ~ leq(n4,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n4,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9208]) ).
cnf(c_9240,plain,
( ~ leq(n4,n4)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9208]) ).
cnf(c_9241,plain,
( ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9240,c_52]) ).
cnf(c_9250,plain,
( ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9237,c_5886]) ).
cnf(c_9253,plain,
( ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9236,c_9114]) ).
cnf(c_9276,plain,
plus(n3,plus(n1,X0)) = plus(n4,X0),
inference(superposition,[status(thm)],[c_129,c_1810]) ).
cnf(c_9277,plain,
plus(n3,plus(n1,n2)) = plus(n4,n2),
inference(superposition,[status(thm)],[c_1765,c_1810]) ).
cnf(c_9278,plain,
plus(n3,plus(n1,n3)) = plus(n4,n3),
inference(superposition,[status(thm)],[c_1807,c_1810]) ).
cnf(c_9279,plain,
plus(n3,plus(n1,n4)) = plus(n4,n4),
inference(superposition,[status(thm)],[c_1811,c_1810]) ).
cnf(c_9280,plain,
plus(n3,n1) = plus(n4,n0),
inference(superposition,[status(thm)],[c_203,c_1810]) ).
cnf(c_9281,plain,
plus(n3,n2) = plus(n4,n1),
inference(superposition,[status(thm)],[c_1659,c_1810]) ).
cnf(c_9282,plain,
plus(n3,pv10) = plus(n4,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9091,c_1810]) ).
cnf(c_9283,plain,
plus(n4,n1) = n5,
inference(light_normalisation,[status(thm)],[c_9281,c_9187]) ).
cnf(c_9284,plain,
plus(n4,n0) = n4,
inference(light_normalisation,[status(thm)],[c_9280,c_9171]) ).
cnf(c_9285,plain,
plus(n3,n5) = plus(n4,n4),
inference(light_normalisation,[status(thm)],[c_9279,c_9194]) ).
cnf(c_9286,plain,
plus(n2,n5) = plus(n4,n3),
inference(light_normalisation,[status(thm)],[c_9278,c_9186,c_9203]) ).
cnf(c_9287,plain,
plus(n1,n5) = plus(n4,n2),
inference(light_normalisation,[status(thm)],[c_9277,c_1763,c_9195,c_9202]) ).
cnf(c_9289,plain,
plus(n3,plus(n1,n5)) = plus(n4,n5),
inference(superposition,[status(thm)],[c_1831,c_1810]) ).
cnf(c_9290,plain,
minus(plus(n1,n5),n1) = n5,
inference(superposition,[status(thm)],[c_1831,c_138]) ).
cnf(c_9291,plain,
plus(n2,plus(n1,n5)) = plus(n3,n5),
inference(superposition,[status(thm)],[c_1831,c_1806]) ).
cnf(c_9292,plain,
plus(n1,plus(n1,n5)) = plus(n2,n5),
inference(superposition,[status(thm)],[c_1831,c_1764]) ).
cnf(c_9293,plain,
gt(plus(n1,n5),n5),
inference(superposition,[status(thm)],[c_1831,c_58]) ).
cnf(c_9294,plain,
plus(n1,plus(n1,n5)) = plus(n4,n3),
inference(light_normalisation,[status(thm)],[c_9292,c_9286]) ).
cnf(c_9295,plain,
plus(n2,plus(n1,n5)) = plus(n4,n4),
inference(light_normalisation,[status(thm)],[c_9291,c_9285]) ).
cnf(c_9301,plain,
( ~ gt(pv10,X0)
| leq(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5877,c_56]) ).
cnf(c_9302,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9208]) ).
cnf(c_9303,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_8871]) ).
cnf(c_9304,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_8870]) ).
cnf(c_9305,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_8869]) ).
cnf(c_9306,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_8868]) ).
cnf(c_9307,plain,
( ~ leq(minus(X0,n1),sP0_iProver_def)
| ~ gt(X0,n0)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| a_select3(q_init,minus(X0,n1),X1) = init ),
inference(superposition,[status(thm)],[c_56,c_5881]) ).
cnf(c_9308,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| a_select3(center_init,minus(X0,n1),n0) = init ),
inference(superposition,[status(thm)],[c_56,c_5882]) ).
cnf(c_9344,plain,
gt(X0,minus(X0,n1)),
inference(superposition,[status(thm)],[c_52,c_57]) ).
cnf(c_9347,plain,
( ~ leq(X0,sP0_iProver_def)
| gt(pv10,X0) ),
inference(superposition,[status(thm)],[c_5877,c_57]) ).
cnf(c_9356,plain,
( ~ leq(X0,X1)
| leq(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_129,c_59]) ).
cnf(c_9357,plain,
( ~ leq(X0,n2)
| leq(X0,plus(n1,n2)) ),
inference(superposition,[status(thm)],[c_1765,c_59]) ).
cnf(c_9358,plain,
( ~ leq(X0,n3)
| leq(X0,plus(n1,n3)) ),
inference(superposition,[status(thm)],[c_1807,c_59]) ).
cnf(c_9359,plain,
( ~ leq(X0,n4)
| leq(X0,plus(n1,n4)) ),
inference(superposition,[status(thm)],[c_1811,c_59]) ).
cnf(c_9361,plain,
( ~ leq(X0,n0)
| leq(X0,n1) ),
inference(superposition,[status(thm)],[c_203,c_59]) ).
cnf(c_9362,plain,
( ~ leq(X0,n1)
| leq(X0,n2) ),
inference(superposition,[status(thm)],[c_1659,c_59]) ).
cnf(c_9363,plain,
( ~ leq(X0,sP0_iProver_def)
| leq(X0,pv10) ),
inference(superposition,[status(thm)],[c_9091,c_59]) ).
cnf(c_9364,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9208]) ).
cnf(c_9365,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_8871]) ).
cnf(c_9366,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_8870]) ).
cnf(c_9367,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_8869]) ).
cnf(c_9368,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_8868]) ).
cnf(c_9369,plain,
( ~ leq(plus(X0,n1),sP0_iProver_def)
| ~ leq(X1,n4)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(q_init,plus(X0,n1),X1) = init ),
inference(superposition,[status(thm)],[c_59,c_5881]) ).
cnf(c_9370,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| a_select3(center_init,plus(X0,n1),n0) = init ),
inference(superposition,[status(thm)],[c_59,c_5882]) ).
cnf(c_9379,plain,
( ~ leq(X0,n4)
| leq(X0,n5) ),
inference(light_normalisation,[status(thm)],[c_9359,c_9194]) ).
cnf(c_9382,plain,
( ~ leq(X0,n3)
| leq(X0,n4) ),
inference(light_normalisation,[status(thm)],[c_9358,c_9186]) ).
cnf(c_9385,plain,
( ~ leq(X0,n2)
| leq(X0,n3) ),
inference(light_normalisation,[status(thm)],[c_9357,c_1763]) ).
cnf(c_9426,plain,
( ~ leq(n4,sP0_iProver_def)
| ~ leq(n5,n4)
| a_select3(q_init,n4,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9208]) ).
cnf(c_9427,plain,
( ~ leq(n5,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_8871]) ).
cnf(c_9428,plain,
( ~ leq(n5,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_8870]) ).
cnf(c_9429,plain,
( ~ leq(n5,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_8869]) ).
cnf(c_9430,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(n5,n4)
| a_select3(q_init,n0,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_8868]) ).
cnf(c_9431,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,X0) = init ),
inference(superposition,[status(thm)],[c_9115,c_5881]) ).
cnf(c_9432,plain,
( ~ leq(n5,n4)
| a_select3(center_init,n5,n0) = init ),
inference(superposition,[status(thm)],[c_9115,c_5882]) ).
cnf(c_9455,plain,
( ~ leq(n4,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n4,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9208]) ).
cnf(c_9456,plain,
( ~ leq(pv10,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,pv10,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_8871]) ).
cnf(c_9457,plain,
( ~ leq(sK31,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,sK31,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_8870]) ).
cnf(c_9458,plain,
( ~ leq(sK32,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,sK32,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_8869]) ).
cnf(c_9459,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n0,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_8868]) ).
cnf(c_9460,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,X0) = init ),
inference(superposition,[status(thm)],[c_9116,c_5881]) ).
cnf(c_9461,plain,
( ~ leq(n135299,n4)
| a_select3(center_init,n135299,n0) = init ),
inference(superposition,[status(thm)],[c_9116,c_5882]) ).
cnf(c_9484,plain,
( ~ leq(n1,n4)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9208]) ).
cnf(c_9485,plain,
( ~ leq(n1,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_8871]) ).
cnf(c_9486,plain,
( ~ leq(n1,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_8870]) ).
cnf(c_9487,plain,
( ~ leq(n1,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_8869]) ).
cnf(c_9488,plain,
( ~ leq(n1,n4)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_8868]) ).
cnf(c_9489,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,X0) = init ),
inference(superposition,[status(thm)],[c_9117,c_5881]) ).
cnf(c_9490,plain,
( ~ leq(n1,n4)
| a_select3(center_init,n1,n0) = init ),
inference(superposition,[status(thm)],[c_9117,c_5882]) ).
cnf(c_9549,plain,
( ~ leq(n2,n4)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9208]) ).
cnf(c_9550,plain,
( ~ leq(n2,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_8871]) ).
cnf(c_9551,plain,
( ~ leq(n2,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_8870]) ).
cnf(c_9552,plain,
( ~ leq(n2,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_8869]) ).
cnf(c_9553,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(n2,n4)
| a_select3(q_init,n0,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_8868]) ).
cnf(c_9554,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,X0) = init ),
inference(superposition,[status(thm)],[c_9118,c_5881]) ).
cnf(c_9555,plain,
( ~ leq(n2,n4)
| a_select3(center_init,n2,n0) = init ),
inference(superposition,[status(thm)],[c_9118,c_5882]) ).
cnf(c_9586,plain,
a_select3(center_init,n1,n0) = init,
inference(global_subsumption_just,[status(thm)],[c_9490,c_9120,c_9490]) ).
cnf(c_9588,plain,
a_select3(center_init,n2,n0) = init,
inference(global_subsumption_just,[status(thm)],[c_9555,c_9125,c_9555]) ).
cnf(c_9596,plain,
( ~ gt(plus(X0,n1),n0)
| ~ leq(X0,n4)
| a_select3(center_init,minus(plus(X0,n1),n1),n0) = init ),
inference(superposition,[status(thm)],[c_138,c_9308]) ).
cnf(c_9597,plain,
( ~ gt(pv10,n0)
| ~ leq(sP0_iProver_def,n4)
| a_select3(center_init,minus(pv10,n1),n0) = init ),
inference(superposition,[status(thm)],[c_5877,c_9308]) ).
cnf(c_9598,plain,
( ~ gt(pv10,n0)
| ~ leq(sP0_iProver_def,n4)
| a_select3(center_init,sP0_iProver_def,n0) = init ),
inference(light_normalisation,[status(thm)],[c_9597,c_5877]) ).
cnf(c_9602,plain,
( ~ gt(plus(X0,n1),n0)
| ~ leq(X0,n4)
| a_select3(center_init,X0,n0) = init ),
inference(light_normalisation,[status(thm)],[c_9596,c_138]) ).
cnf(c_9612,plain,
( ~ leq(plus(n1,X0),n4)
| ~ leq(n0,X0)
| a_select3(center_init,plus(X0,n1),n0) = init ),
inference(superposition,[status(thm)],[c_129,c_9370]) ).
cnf(c_9613,plain,
( ~ leq(plus(n1,n2),n4)
| ~ leq(n0,n2)
| a_select3(center_init,plus(n2,n1),n0) = init ),
inference(superposition,[status(thm)],[c_1765,c_9370]) ).
cnf(c_9614,plain,
( ~ leq(plus(n1,n3),n4)
| ~ leq(n0,n3)
| a_select3(center_init,plus(n3,n1),n0) = init ),
inference(superposition,[status(thm)],[c_1807,c_9370]) ).
cnf(c_9615,plain,
( ~ leq(plus(n1,n4),n4)
| ~ leq(n0,n4)
| a_select3(center_init,plus(n4,n1),n0) = init ),
inference(superposition,[status(thm)],[c_1811,c_9370]) ).
cnf(c_9616,plain,
( ~ leq(plus(n1,n5),n4)
| ~ leq(n0,n5)
| a_select3(center_init,plus(n5,n1),n0) = init ),
inference(superposition,[status(thm)],[c_1831,c_9370]) ).
cnf(c_9617,plain,
( ~ leq(n1,n4)
| ~ leq(n0,n0)
| a_select3(center_init,plus(n0,n1),n0) = init ),
inference(superposition,[status(thm)],[c_203,c_9370]) ).
cnf(c_9618,plain,
( ~ leq(n0,n1)
| ~ leq(n2,n4)
| a_select3(center_init,plus(n1,n1),n0) = init ),
inference(superposition,[status(thm)],[c_1659,c_9370]) ).
cnf(c_9619,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(center_init,plus(sP0_iProver_def,n1),n0) = init ),
inference(superposition,[status(thm)],[c_9091,c_9370]) ).
cnf(c_9623,plain,
( ~ leq(plus(n1,n5),n4)
| a_select3(center_init,plus(n5,n1),n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9616,c_9115]) ).
cnf(c_9626,plain,
( ~ leq(n0,n4)
| ~ leq(n5,n4)
| a_select3(center_init,n5,n0) = init ),
inference(light_normalisation,[status(thm)],[c_9615,c_9194,c_9283]) ).
cnf(c_9629,plain,
( ~ leq(n0,n2)
| ~ leq(n3,n4)
| a_select3(center_init,n3,n0) = init ),
inference(light_normalisation,[status(thm)],[c_9613,c_9096,c_1763]) ).
cnf(c_9630,plain,
( ~ leq(n3,n4)
| a_select3(center_init,n3,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9629,c_9118]) ).
cnf(c_9645,plain,
( ~ leq(n0,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9431]) ).
cnf(c_9646,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9431]) ).
cnf(c_9647,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9431]) ).
cnf(c_9648,plain,
( ~ leq(n5,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n5,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9431]) ).
cnf(c_9649,plain,
( ~ leq(n5,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n5,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9431]) ).
cnf(c_9650,plain,
( ~ leq(n5,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n5,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9431]) ).
cnf(c_9651,plain,
( ~ leq(n4,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9431]) ).
cnf(c_9652,plain,
( ~ leq(n1,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9431]) ).
cnf(c_9653,plain,
( ~ leq(n2,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9431]) ).
cnf(c_9654,plain,
( ~ leq(n5,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9431]) ).
cnf(c_9655,plain,
( ~ leq(n5,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n5,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9431]) ).
cnf(c_9668,plain,
( ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9651,c_52]) ).
cnf(c_9677,plain,
( ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9648,c_5886]) ).
cnf(c_9680,plain,
( ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9645,c_9114]) ).
cnf(c_9696,plain,
plus(n4,plus(n1,X0)) = plus(n5,X0),
inference(superposition,[status(thm)],[c_129,c_1830]) ).
cnf(c_9697,plain,
plus(n4,plus(n1,n2)) = plus(n5,n2),
inference(superposition,[status(thm)],[c_1765,c_1830]) ).
cnf(c_9698,plain,
plus(n4,plus(n1,n3)) = plus(n5,n3),
inference(superposition,[status(thm)],[c_1807,c_1830]) ).
cnf(c_9699,plain,
plus(n4,plus(n1,n4)) = plus(n5,n4),
inference(superposition,[status(thm)],[c_1811,c_1830]) ).
cnf(c_9701,plain,
plus(n4,n1) = plus(n5,n0),
inference(superposition,[status(thm)],[c_203,c_1830]) ).
cnf(c_9702,plain,
plus(n4,n2) = plus(n5,n1),
inference(superposition,[status(thm)],[c_1659,c_1830]) ).
cnf(c_9703,plain,
plus(n4,pv10) = plus(n5,sP0_iProver_def),
inference(superposition,[status(thm)],[c_9091,c_1830]) ).
cnf(c_9704,plain,
plus(n1,n5) = plus(n5,n1),
inference(light_normalisation,[status(thm)],[c_9702,c_9287]) ).
cnf(c_9705,plain,
plus(n5,n0) = n5,
inference(light_normalisation,[status(thm)],[c_9701,c_9283]) ).
cnf(c_9706,plain,
plus(n4,n5) = plus(n5,n4),
inference(light_normalisation,[status(thm)],[c_9699,c_9194]) ).
cnf(c_9707,plain,
plus(n4,n4) = plus(n5,n3),
inference(light_normalisation,[status(thm)],[c_9698,c_9186]) ).
cnf(c_9708,plain,
plus(n4,n3) = plus(n5,n2),
inference(light_normalisation,[status(thm)],[c_9697,c_1763]) ).
cnf(c_9715,plain,
( ~ gt(plus(n1,X0),X1)
| leq(X1,X0) ),
inference(superposition,[status(thm)],[c_129,c_60]) ).
cnf(c_9716,plain,
( ~ gt(plus(n1,n2),X0)
| leq(X0,n2) ),
inference(superposition,[status(thm)],[c_1765,c_60]) ).
cnf(c_9717,plain,
( ~ gt(plus(n1,n3),X0)
| leq(X0,n3) ),
inference(superposition,[status(thm)],[c_1807,c_60]) ).
cnf(c_9718,plain,
( ~ gt(plus(n1,n4),X0)
| leq(X0,n4) ),
inference(superposition,[status(thm)],[c_1811,c_60]) ).
cnf(c_9720,plain,
( ~ gt(n1,X0)
| leq(X0,n0) ),
inference(superposition,[status(thm)],[c_203,c_60]) ).
cnf(c_9721,plain,
( ~ gt(n2,X0)
| leq(X0,n1) ),
inference(superposition,[status(thm)],[c_1659,c_60]) ).
cnf(c_9729,plain,
( ~ gt(n5,X0)
| leq(X0,n4) ),
inference(light_normalisation,[status(thm)],[c_9718,c_9194]) ).
cnf(c_9732,plain,
( ~ gt(n4,X0)
| leq(X0,n3) ),
inference(light_normalisation,[status(thm)],[c_9717,c_9186]) ).
cnf(c_9735,plain,
( ~ gt(n3,X0)
| leq(X0,n2) ),
inference(light_normalisation,[status(thm)],[c_9716,c_1763]) ).
cnf(c_9744,plain,
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(superposition,[status(thm)],[c_129,c_61]) ).
cnf(c_9745,plain,
( ~ leq(X0,n2)
| gt(plus(n1,n2),X0) ),
inference(superposition,[status(thm)],[c_1765,c_61]) ).
cnf(c_9746,plain,
( ~ leq(X0,n3)
| gt(plus(n1,n3),X0) ),
inference(superposition,[status(thm)],[c_1807,c_61]) ).
cnf(c_9747,plain,
( ~ leq(X0,n4)
| gt(plus(n1,n4),X0) ),
inference(superposition,[status(thm)],[c_1811,c_61]) ).
cnf(c_9749,plain,
( ~ leq(X0,n0)
| gt(n1,X0) ),
inference(superposition,[status(thm)],[c_203,c_61]) ).
cnf(c_9750,plain,
( ~ leq(X0,n1)
| gt(n2,X0) ),
inference(superposition,[status(thm)],[c_1659,c_61]) ).
cnf(c_9753,plain,
~ leq(plus(X0,n1),X0),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_9761,plain,
( ~ leq(X0,n4)
| gt(n5,X0) ),
inference(light_normalisation,[status(thm)],[c_9747,c_9194]) ).
cnf(c_9764,plain,
( ~ leq(X0,n3)
| gt(n4,X0) ),
inference(light_normalisation,[status(thm)],[c_9746,c_9186]) ).
cnf(c_9767,plain,
( ~ leq(X0,n2)
| gt(n3,X0) ),
inference(light_normalisation,[status(thm)],[c_9745,c_1763]) ).
cnf(c_9782,plain,
( ~ leq(n0,minus(X0,n1))
| gt(X0,uniform_int_rnd(X1,minus(X0,n1))) ),
inference(superposition,[status(thm)],[c_62,c_57]) ).
cnf(c_9790,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9431]) ).
cnf(c_9791,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9208]) ).
cnf(c_9792,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_8871]) ).
cnf(c_9793,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_8870]) ).
cnf(c_9794,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_8869]) ).
cnf(c_9795,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_8868]) ).
cnf(c_9796,plain,
( ~ leq(uniform_int_rnd(X0,X1),sP0_iProver_def)
| ~ leq(X2,n4)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| a_select3(q_init,uniform_int_rnd(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_63,c_5881]) ).
cnf(c_9797,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| a_select3(center_init,uniform_int_rnd(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_63,c_5882]) ).
cnf(c_9846,plain,
( ~ leq(n3,n4)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9431]) ).
cnf(c_9847,plain,
( ~ leq(n3,n4)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9208]) ).
cnf(c_9848,plain,
( ~ leq(n3,n4)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_8871]) ).
cnf(c_9849,plain,
( ~ leq(n3,n4)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_8870]) ).
cnf(c_9850,plain,
( ~ leq(n3,n4)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_8869]) ).
cnf(c_9851,plain,
( ~ leq(n0,sP0_iProver_def)
| ~ leq(n3,n4)
| a_select3(q_init,n0,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_8868]) ).
cnf(c_9852,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,X0) = init ),
inference(superposition,[status(thm)],[c_9119,c_5881]) ).
cnf(c_9905,plain,
( ~ leq(n0,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9460]) ).
cnf(c_9906,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9460]) ).
cnf(c_9907,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9460]) ).
cnf(c_9908,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9460]) ).
cnf(c_9909,plain,
( ~ leq(sK32,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9460]) ).
cnf(c_9910,plain,
( ~ leq(sK31,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9460]) ).
cnf(c_9911,plain,
( ~ leq(pv10,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9460]) ).
cnf(c_9912,plain,
( ~ leq(n4,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9460]) ).
cnf(c_9913,plain,
( ~ leq(n1,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9460]) ).
cnf(c_9914,plain,
( ~ leq(n2,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9460]) ).
cnf(c_9915,plain,
( ~ leq(n3,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9460]) ).
cnf(c_9916,plain,
( ~ leq(n5,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9460]) ).
cnf(c_9917,plain,
( ~ leq(n135299,n4)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9460]) ).
cnf(c_9930,plain,
( ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n1) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9913,c_9120]) ).
cnf(c_9933,plain,
( ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9912,c_52]) ).
cnf(c_9942,plain,
( ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9909,c_5886]) ).
cnf(c_9945,plain,
( ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_9905,c_9114]) ).
cnf(c_10002,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n0,n4)
| a_select3(q_init,n1,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9489]) ).
cnf(c_10003,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9489]) ).
cnf(c_10004,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9489]) ).
cnf(c_10005,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9489]) ).
cnf(c_10006,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n1,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9489]) ).
cnf(c_10007,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n1,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9489]) ).
cnf(c_10008,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n1,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9489]) ).
cnf(c_10009,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n4,n4)
| a_select3(q_init,n1,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9489]) ).
cnf(c_10010,plain,
( ~ leq(n1,n4)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9489]) ).
cnf(c_10011,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n2,n4)
| a_select3(q_init,n1,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9489]) ).
cnf(c_10012,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n3,n4)
| a_select3(q_init,n1,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9489]) ).
cnf(c_10013,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n5,n4)
| a_select3(q_init,n1,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9489]) ).
cnf(c_10014,plain,
( ~ leq(n1,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n1,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9489]) ).
cnf(c_10027,plain,
( ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,n1) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10010,c_9120]) ).
cnf(c_10030,plain,
( ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10009,c_52]) ).
cnf(c_10039,plain,
( ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10006,c_5886]) ).
cnf(c_10042,plain,
( ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10002,c_9114]) ).
cnf(c_10082,plain,
plus(n1,pv10) = plus(sP0_iProver_def,n2),
inference(demodulation,[status(thm)],[c_9095,c_1765]) ).
cnf(c_10087,plain,
( ~ sP0(X0,minus(X1,n1))
| gt(X1,sK11(X0,minus(X1,n1))) ),
inference(superposition,[status(thm)],[c_82,c_57]) ).
cnf(c_10095,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9489]) ).
cnf(c_10096,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9460]) ).
cnf(c_10097,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9431]) ).
cnf(c_10098,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9208]) ).
cnf(c_10099,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_8871]) ).
cnf(c_10100,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_8870]) ).
cnf(c_10101,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_8869]) ).
cnf(c_10102,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_8868]) ).
cnf(c_10103,plain,
( ~ leq(sK11(X0,X1),sP0_iProver_def)
| ~ sP0(X0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| a_select3(q_init,sK11(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_83,c_5881]) ).
cnf(c_10104,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| a_select3(center_init,sK11(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_83,c_5882]) ).
cnf(c_10175,plain,
( ~ sP0(X0,minus(X1,n1))
| gt(X1,sK10(X0,minus(X1,n1))) ),
inference(superposition,[status(thm)],[c_84,c_57]) ).
cnf(c_10183,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9489]) ).
cnf(c_10184,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9460]) ).
cnf(c_10185,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9431]) ).
cnf(c_10186,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9208]) ).
cnf(c_10187,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_8871]) ).
cnf(c_10188,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_8870]) ).
cnf(c_10189,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_8869]) ).
cnf(c_10190,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_8868]) ).
cnf(c_10191,plain,
( ~ leq(sK10(X0,X1),sP0_iProver_def)
| ~ sP0(X0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| a_select3(q_init,sK10(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_85,c_5881]) ).
cnf(c_10192,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| a_select3(center_init,sK10(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_85,c_5882]) ).
cnf(c_10279,plain,
( ~ leq(n0,n4)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9554]) ).
cnf(c_10280,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9554]) ).
cnf(c_10281,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9554]) ).
cnf(c_10282,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9554]) ).
cnf(c_10283,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9554]) ).
cnf(c_10284,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9554]) ).
cnf(c_10285,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n2,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9554]) ).
cnf(c_10286,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n2,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9554]) ).
cnf(c_10287,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n2,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9554]) ).
cnf(c_10288,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(n4,n4)
| a_select3(q_init,n2,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9554]) ).
cnf(c_10289,plain,
( ~ leq(n1,n4)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9554]) ).
cnf(c_10290,plain,
( ~ leq(n2,n4)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9554]) ).
cnf(c_10291,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(n3,n4)
| a_select3(q_init,n2,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9554]) ).
cnf(c_10292,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(n5,n4)
| a_select3(q_init,n2,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9554]) ).
cnf(c_10293,plain,
( ~ leq(n2,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n2,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9554]) ).
cnf(c_10303,plain,
( ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n2) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10290,c_9125]) ).
cnf(c_10306,plain,
( ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n1) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10289,c_9120]) ).
cnf(c_10309,plain,
( ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10288,c_52]) ).
cnf(c_10318,plain,
( ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10285,c_5886]) ).
cnf(c_10321,plain,
( ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10279,c_9114]) ).
cnf(c_10405,plain,
( ~ leq(n0,n4)
| a_select3(center_init,uniform_int_rnd(X0,n4),n0) = init ),
inference(superposition,[status(thm)],[c_62,c_9797]) ).
cnf(c_10406,plain,
a_select3(center_init,uniform_int_rnd(X0,n4),n0) = init,
inference(forward_subsumption_resolution,[status(thm)],[c_10405,c_9114]) ).
cnf(c_10416,plain,
( ~ leq(n0,n4)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n0) = init ),
inference(superposition,[status(thm)],[c_52,c_9852]) ).
cnf(c_10417,plain,
( ~ leq(minus(X0,n1),n4)
| ~ gt(X0,n0)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,minus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_56,c_9852]) ).
cnf(c_10418,plain,
( ~ leq(plus(X0,n1),n4)
| ~ leq(n0,X0)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,plus(X0,n1)) = init ),
inference(superposition,[status(thm)],[c_59,c_9852]) ).
cnf(c_10419,plain,
( ~ leq(uniform_int_rnd(X0,X1),n4)
| ~ leq(n0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,uniform_int_rnd(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_63,c_9852]) ).
cnf(c_10420,plain,
( ~ leq(sK11(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK11(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_83,c_9852]) ).
cnf(c_10421,plain,
( ~ leq(sK10(X0,X1),n4)
| ~ sP0(X0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK10(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_85,c_9852]) ).
cnf(c_10422,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(sK32,n4)
| a_select3(q_init,n3,sK32) = init ),
inference(superposition,[status(thm)],[c_5884,c_9852]) ).
cnf(c_10423,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(sK31,n4)
| a_select3(q_init,n3,sK31) = init ),
inference(superposition,[status(thm)],[c_5883,c_9852]) ).
cnf(c_10424,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(pv10,n4)
| a_select3(q_init,n3,pv10) = init ),
inference(superposition,[status(thm)],[c_5879,c_9852]) ).
cnf(c_10425,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(n4,n4)
| a_select3(q_init,n3,n4) = init ),
inference(superposition,[status(thm)],[c_9114,c_9852]) ).
cnf(c_10426,plain,
( ~ leq(n1,n4)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n1) = init ),
inference(superposition,[status(thm)],[c_9117,c_9852]) ).
cnf(c_10427,plain,
( ~ leq(n2,n4)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n2) = init ),
inference(superposition,[status(thm)],[c_9118,c_9852]) ).
cnf(c_10428,plain,
( ~ leq(n3,n4)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n3) = init ),
inference(superposition,[status(thm)],[c_9119,c_9852]) ).
cnf(c_10429,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(n5,n4)
| a_select3(q_init,n3,n5) = init ),
inference(superposition,[status(thm)],[c_9115,c_9852]) ).
cnf(c_10430,plain,
( ~ leq(n3,sP0_iProver_def)
| ~ leq(n135299,n4)
| a_select3(q_init,n3,n135299) = init ),
inference(superposition,[status(thm)],[c_9116,c_9852]) ).
cnf(c_10440,plain,
( ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n2) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10427,c_9125]) ).
cnf(c_10443,plain,
( ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n1) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10426,c_9120]) ).
cnf(c_10446,plain,
( ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n4) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10425,c_52]) ).
cnf(c_10455,plain,
( ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK32) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10422,c_5886]) ).
cnf(c_10458,plain,
( ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,n0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10416,c_9114]) ).
cnf(c_10489,plain,
( ~ sP1(X0,minus(X1,n1))
| gt(X1,sK15(X0,minus(X1,n1))) ),
inference(superposition,[status(thm)],[c_92,c_57]) ).
cnf(c_10497,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9852]) ).
cnf(c_10498,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9554]) ).
cnf(c_10499,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9489]) ).
cnf(c_10500,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9460]) ).
cnf(c_10501,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9431]) ).
cnf(c_10502,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_9208]) ).
cnf(c_10503,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_8871]) ).
cnf(c_10504,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_8870]) ).
cnf(c_10505,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_8869]) ).
cnf(c_10506,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK15(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_93,c_8868]) ).
cnf(c_10507,plain,
( ~ leq(sK15(X0,X1),sP0_iProver_def)
| ~ sP1(X0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| a_select3(q_init,sK15(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_93,c_5881]) ).
cnf(c_10508,plain,
( ~ leq(sK15(X0,X1),n4)
| ~ sP1(X0,X1)
| a_select3(center_init,sK15(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_93,c_5882]) ).
cnf(c_10573,plain,
( ~ sP1(X0,minus(X1,n1))
| gt(X1,sK14(X0,minus(X1,n1))) ),
inference(superposition,[status(thm)],[c_94,c_57]) ).
cnf(c_10581,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9852]) ).
cnf(c_10582,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9554]) ).
cnf(c_10583,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9489]) ).
cnf(c_10584,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9460]) ).
cnf(c_10585,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9431]) ).
cnf(c_10586,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_9208]) ).
cnf(c_10587,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_8871]) ).
cnf(c_10588,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_8870]) ).
cnf(c_10589,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_8869]) ).
cnf(c_10590,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK14(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_95,c_8868]) ).
cnf(c_10591,plain,
( ~ leq(sK14(X0,X1),sP0_iProver_def)
| ~ sP1(X0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| a_select3(q_init,sK14(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_95,c_5881]) ).
cnf(c_10592,plain,
( ~ leq(sK14(X0,X1),n4)
| ~ sP1(X0,X1)
| a_select3(center_init,sK14(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_95,c_5882]) ).
cnf(c_10678,plain,
( ~ sP0(X0,n4)
| a_select3(center_init,sK11(X0,n4),n0) = init ),
inference(superposition,[status(thm)],[c_82,c_10104]) ).
cnf(c_10688,plain,
( ~ sP0(X0,n4)
| a_select3(center_init,sK10(X0,n4),n0) = init ),
inference(superposition,[status(thm)],[c_84,c_10192]) ).
cnf(c_10698,plain,
( ~ sP1(X0,n4)
| a_select3(center_init,sK15(X0,n4),n0) = init ),
inference(superposition,[status(thm)],[c_92,c_10508]) ).
cnf(c_10708,plain,
( ~ sP1(X0,n4)
| a_select3(center_init,sK14(X0,n4),n0) = init ),
inference(superposition,[status(thm)],[c_94,c_10592]) ).
cnf(c_10724,plain,
( ~ gt(plus(X0,n1),n0)
| ~ leq(X0,sP0_iProver_def)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| a_select3(q_init,minus(plus(X0,n1),n1),X1) = init ),
inference(superposition,[status(thm)],[c_138,c_9307]) ).
cnf(c_10725,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(pv10,n0)
| ~ leq(sP0_iProver_def,sP0_iProver_def)
| a_select3(q_init,minus(pv10,n1),X0) = init ),
inference(superposition,[status(thm)],[c_5877,c_9307]) ).
cnf(c_10726,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(pv10,n0)
| ~ leq(sP0_iProver_def,sP0_iProver_def)
| a_select3(q_init,sP0_iProver_def,X0) = init ),
inference(light_normalisation,[status(thm)],[c_10725,c_5877]) ).
cnf(c_10727,plain,
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(pv10,n0)
| a_select3(q_init,sP0_iProver_def,X0) = init ),
inference(forward_subsumption_resolution,[status(thm)],[c_10726,c_52]) ).
cnf(c_10732,plain,
( ~ gt(plus(X0,n1),n0)
| ~ leq(X0,sP0_iProver_def)
| ~ leq(X1,n4)
| ~ leq(n0,X1)
| a_select3(q_init,X0,X1) = init ),
inference(light_normalisation,[status(thm)],[c_10724,c_138]) ).
cnf(c_10739,plain,
plus(n0,n2) = n2,
inference(demodulation,[status(thm)],[c_9097,c_1765]) ).
cnf(c_10744,plain,
( ~ sP3(X0,minus(X1,n1))
| gt(X1,sK23(X0,minus(X1,n1))) ),
inference(superposition,[status(thm)],[c_112,c_57]) ).
cnf(c_10756,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n3,sP0_iProver_def)
| a_select3(q_init,n3,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9852]) ).
cnf(c_10757,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n2,sP0_iProver_def)
| a_select3(q_init,n2,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9554]) ).
cnf(c_10758,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n1,sP0_iProver_def)
| a_select3(q_init,n1,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9489]) ).
cnf(c_10759,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n135299,sP0_iProver_def)
| a_select3(q_init,n135299,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9460]) ).
cnf(c_10760,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n5,sP0_iProver_def)
| a_select3(q_init,n5,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9431]) ).
cnf(c_10761,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n4,sP0_iProver_def)
| a_select3(q_init,n4,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_9208]) ).
cnf(c_10762,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(pv10,sP0_iProver_def)
| a_select3(q_init,pv10,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_8871]) ).
cnf(c_10763,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(sK31,sP0_iProver_def)
| a_select3(q_init,sK31,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_8870]) ).
cnf(c_10764,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(sK32,sP0_iProver_def)
| a_select3(q_init,sK32,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_8869]) ).
cnf(c_10765,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| ~ leq(n0,sP0_iProver_def)
| a_select3(q_init,n0,sK23(X0,X1)) = init ),
inference(superposition,[status(thm)],[c_113,c_8868]) ).
cnf(c_10766,plain,
( ~ leq(sK23(X0,X1),sP0_iProver_def)
| ~ sP3(X0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2)
| a_select3(q_init,sK23(X0,X1),X2) = init ),
inference(superposition,[status(thm)],[c_113,c_5881]) ).
cnf(c_10767,plain,
( ~ leq(sK23(X0,X1),n4)
| ~ sP3(X0,X1)
| a_select3(center_init,sK23(X0,X1),n0) = init ),
inference(superposition,[status(thm)],[c_113,c_5882]) ).
cnf(c_10895,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10767,c_10766,c_10765,c_10764,c_10763,c_10762,c_10761,c_10760,c_10759,c_10758,c_10757,c_10756,c_10744,c_10739,c_10732,c_10727,c_10726,c_10725,c_10724,c_10708,c_10698,c_10688,c_10678,c_10592,c_10591,c_10590,c_10589,c_10588,c_10587,c_10586,c_10585,c_10584,c_10583,c_10582,c_10581,c_10573,c_10508,c_10507,c_10506,c_10505,c_10504,c_10503,c_10502,c_10501,c_10500,c_10499,c_10498,c_10497,c_10489,c_10458,c_10455,c_10446,c_10443,c_10440,c_10430,c_10429,c_10428,c_10427,c_10426,c_10425,c_10424,c_10423,c_10422,c_10421,c_10420,c_10419,c_10418,c_10417,c_10416,c_10406,c_10405,c_10321,c_10318,c_10309,c_10306,c_10303,c_10293,c_10292,c_10291,c_10290,c_10289,c_10288,c_10287,c_10286,c_10285,c_10284,c_10283,c_10282,c_10281,c_10280,c_10279,c_10192,c_10191,c_10190,c_10189,c_10188,c_10187,c_10186,c_10185,c_10184,c_10183,c_10175,c_10104,c_10103,c_10102,c_10101,c_10100,c_10099,c_10098,c_10097,c_10096,c_10095,c_10087,c_10082,c_10042,c_10039,c_10030,c_10027,c_10014,c_10013,c_10012,c_10011,c_10010,c_10009,c_10008,c_10007,c_10006,c_10005,c_10004,c_10003,c_10002,c_9945,c_9942,c_9933,c_9930,c_9917,c_9916,c_9915,c_9914,c_9913,c_9912,c_9911,c_9910,c_9909,c_9908,c_9907,c_9906,c_9905,c_9852,c_9851,c_9850,c_9849,c_9848,c_9847,c_9846,c_9797,c_9796,c_9795,c_9794,c_9793,c_9792,c_9791,c_9790,c_9782,c_9767,c_9764,c_9761,c_9753,c_9750,c_9749,c_9747,c_9746,c_9745,c_9744,c_9735,c_9732,c_9729,c_9721,c_9720,c_9718,c_9717,c_9716,c_9715,c_9708,c_9707,c_9706,c_9705,c_9704,c_9703,c_9702,c_9701,c_9699,c_9698,c_9697,c_9696,c_9680,c_9677,c_9668,c_9655,c_9654,c_9653,c_9652,c_9651,c_9650,c_9649,c_9648,c_9647,c_9646,c_9645,c_9630,c_9629,c_9626,c_9623,c_9619,c_9618,c_9617,c_9616,c_9615,c_9614,c_9613,c_9612,c_9602,c_9598,c_9597,c_9596,c_9588,c_9586,c_9555,c_9554,c_9553,c_9552,c_9551,c_9550,c_9549,c_9490,c_9489,c_9488,c_9487,c_9486,c_9485,c_9484,c_9461,c_9460,c_9459,c_9458,c_9457,c_9456,c_9455,c_9432,c_9431,c_9430,c_9429,c_9428,c_9427,c_9426,c_9385,c_9382,c_9379,c_9370,c_9369,c_9368,c_9367,c_9366,c_9365,c_9364,c_9363,c_9362,c_9361,c_9359,c_9358,c_9357,c_9356,c_9347,c_9344,c_9308,c_9307,c_9306,c_9305,c_9304,c_9303,c_9302,c_9301,c_9295,c_9294,c_9293,c_9292,c_9291,c_9290,c_9289,c_9287,c_9286,c_9285,c_9284,c_9283,c_9282,c_9281,c_9280,c_9279,c_9278,c_9277,c_9276,c_9253,c_9250,c_9241,c_9240,c_9239,c_9238,c_9237,c_9236,c_9220,c_9217,c_9214,c_9211,c_9210,c_9209,c_9208,c_9207,c_9206,c_9205,c_9204,c_9203,c_9202,c_9201,c_9199,c_9198,c_9197,c_9196,c_9195,c_9194,c_9193,c_9191,c_9190,c_9189,c_9188,c_9187,c_9186,c_9185,c_9183,c_9182,c_9181,c_9180,c_9176,c_9175,c_9174,c_9172,c_9171,c_9170,c_9169,c_9168,c_9167,c_9150,c_9147,c_9146,c_9136,c_9135,c_9134,c_9133,c_9132,c_9131,c_9130,c_9129,c_9128,c_9127,c_9126,c_9125,c_9124,c_9123,c_9122,c_9121,c_9120,c_9119,c_9118,c_9117,c_9116,c_9115,c_9114,c_9113,c_9112,c_9111,c_9110,c_9109,c_9108,c_9107,c_9106,c_9105,c_9104,c_9103,c_9102,c_9097,c_9095,c_9094,c_9093,c_9092,c_9091,c_9090,c_9042,c_9035,c_9034,c_9033,c_9032,c_9002,c_9001,c_8994,c_8993,c_8992,c_8991,c_8961,c_8954,c_8953,c_8952,c_8951,c_8921,c_8914,c_8913,c_8912,c_8911,c_8871,c_8870,c_8869,c_8868,c_8855,c_8850,c_8849,c_8848,c_8847,c_5888,c_5881,c_5878,c_5877,c_1831,c_1830,c_1811,c_1810,c_1809,c_1807,c_1806,c_1799,c_1765,c_1764,c_1763,c_9096,c_1661,c_1660,c_1659,c_1656,c_203,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_193,c_192,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_5879,c_5880,c_5882,c_5883,c_5884,c_5885,c_5886,c_5887,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_138,c_129,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_112,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.16 % Problem : SWV174+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.16 % Command : run_iprover %s %d THM
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Jun 20 18:06:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.00/1.15 % SZS status Started for theBenchmark.p
% 4.00/1.15 % SZS status Theorem for theBenchmark.p
% 4.00/1.15
% 4.00/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.00/1.15
% 4.00/1.15 ------ iProver source info
% 4.00/1.15
% 4.00/1.15 git: date: 2024-06-12 09:56:46 +0000
% 4.00/1.15 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.00/1.15 git: non_committed_changes: false
% 4.00/1.15
% 4.00/1.15 ------ Parsing...
% 4.00/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.00/1.15
% 4.00/1.15 ------ Preprocessing... sup_sim: 15 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.00/1.15
% 4.00/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.00/1.15
% 4.00/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.00/1.15 ------ Proving...
% 4.00/1.15 ------ Problem Properties
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15 clauses 159
% 4.00/1.15 conjectures 10
% 4.00/1.15 EPR 51
% 4.00/1.15 Horn 109
% 4.00/1.15 unary 63
% 4.00/1.15 binary 34
% 4.00/1.15 lits 504
% 4.00/1.15 lits eq 118
% 4.00/1.15 fd_pure 0
% 4.00/1.15 fd_pseudo 0
% 4.00/1.15 fd_cond 6
% 4.00/1.15 fd_pseudo_cond 4
% 4.00/1.15 AC symbols 0
% 4.00/1.15
% 4.00/1.15 ------ Schedule dynamic 5 is on
% 4.00/1.15
% 4.00/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15 ------
% 4.00/1.15 Current options:
% 4.00/1.15 ------
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15 ------ Proving...
% 4.00/1.15
% 4.00/1.15
% 4.00/1.15 % SZS status Theorem for theBenchmark.p
% 4.00/1.15
% 4.00/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.29/1.16
% 4.29/1.17
%------------------------------------------------------------------------------