%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:07:48 EDT 2022
% Result : Theorem 256.47s 256.73s
% Output : CNFRefutation 256.47s
% Verified :
% SZS Type : ERROR: Analysing output (Cycle in a tree)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
file('<stdin>',matrix_symm_joseph_update) ).
fof(c_0_1,axiom,
! [X5,X11,X7,X24,X1,X17] :
( ( ! [X26,X27] :
( ( leq(n0,X26)
& leq(n0,X27)
& leq(X26,X7)
& leq(X27,X24) )
=> a_select3(X1,X26,X27) = X17 )
& leq(n0,X5)
& leq(X5,X7)
& leq(n0,X11)
& leq(X11,X24) )
=> a_select3(tptp_update3(X1,X7,X24,X17),X5,X11) = X17 ),
file('<stdin>',sel3_update_3) ).
fof(c_0_2,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_msub(X14,X18),X5,X11) = a_select3(tptp_msub(X14,X18),X11,X5) ) ),
file('<stdin>',matrix_symm_sub) ).
fof(c_0_3,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,X18),X5,X11) = a_select3(tptp_madd(X14,X18),X11,X5) ) ),
file('<stdin>',matrix_symm_add) ).
fof(c_0_4,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11,X16,X17] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15)
& leq(n0,X16)
& leq(X16,X15) )
=> a_select3(tptp_update3(X14,X16,X16,X17),X5,X11) = a_select3(tptp_update3(X14,X16,X16,X17),X11,X5) ) ),
file('<stdin>',matrix_symm_update_diagonal) ).
fof(c_0_5,axiom,
! [X14,X18,X15,X19] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('<stdin>',matrix_symm_aba2) ).
fof(c_0_6,axiom,
! [X14,X18,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('<stdin>',matrix_symm_aba1) ).
fof(c_0_7,axiom,
! [X5,X7,X1,X17] :
( ( ! [X26] :
( ( leq(n0,X26)
& leq(X26,X7) )
=> a_select2(X1,X26) = X17 )
& leq(n0,X5)
& leq(X5,X7) )
=> a_select2(tptp_update2(X1,X7,X17),X5) = X17 ),
file('<stdin>',sel2_update_3) ).
fof(c_0_8,axiom,
! [X5,X11,X7,X24,X1,X17,X25] :
( ( X5 != X7
& X11 = X24
& a_select3(X1,X7,X24) = X17 )
=> a_select3(tptp_update3(X1,X5,X11,X25),X7,X24) = X17 ),
file('<stdin>',sel3_update_2) ).
fof(c_0_9,axiom,
! [X1,X7,X24,X17] : a_select3(tptp_update3(X1,X7,X24,X17),X7,X24) = X17,
file('<stdin>',sel3_update_1) ).
fof(c_0_10,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(inv(X14),X5,X11) = a_select3(inv(X14),X11,X5) ) ),
file('<stdin>',matrix_symm_inv) ).
fof(c_0_11,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(trans(X14),X5,X11) = a_select3(trans(X14),X11,X5) ) ),
file('<stdin>',matrix_symm_trans) ).
fof(c_0_12,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( ( leq(X9,X5)
& leq(X5,X10)
& leq(X12,X11)
& leq(X11,X13) )
=> a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
file('<stdin>',const_array2_select) ).
fof(c_0_13,axiom,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
file('<stdin>',sel2_update_2) ).
fof(c_0_14,axiom,
! [X5,X6,X7,X8] :
( ( leq(X6,X5)
& leq(X5,X7) )
=> a_select2(tptp_const_array1(dim(X6,X7),X8),X5) = X8 ),
file('<stdin>',const_array1_select) ).
fof(c_0_15,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('<stdin>',sel2_update_1) ).
fof(c_0_16,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('<stdin>',succ_plus_5_l) ).
fof(c_0_17,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('<stdin>',succ_plus_5_r) ).
fof(c_0_18,axiom,
! [X1,X2] :
( leq(minus(X1,X2),X1)
=> leq(n0,X2) ),
file('<stdin>',leq_minus) ).
fof(c_0_19,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('<stdin>',successor_5) ).
fof(c_0_20,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(uniform_int_rnd(X4,X1),X1) ),
file('<stdin>',uniform_int_rand_ranges_hi) ).
fof(c_0_21,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('<stdin>',transitivity_leq) ).
fof(c_0_22,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('<stdin>',transitivity_gt) ).
fof(c_0_23,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('<stdin>',succ_plus_4_l) ).
fof(c_0_24,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('<stdin>',succ_plus_4_r) ).
fof(c_0_25,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(n0,uniform_int_rnd(X4,X1)) ),
file('<stdin>',uniform_int_rand_ranges_lo) ).
fof(c_0_26,axiom,
! [X1,X2] :
( leq(succ(X1),succ(X2))
<=> leq(X1,X2) ),
file('<stdin>',leq_succ_succ) ).
fof(c_0_27,axiom,
! [X23] : tptp_float_0_0 = sum(n0,tptp_minus_1,X23),
file('<stdin>',sum_plus_base_float) ).
fof(c_0_28,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('<stdin>',sum_plus_base) ).
fof(c_0_29,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
file('<stdin>',finite_domain_5) ).
fof(c_0_30,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ) ),
file('<stdin>',finite_domain_4) ).
fof(c_0_31,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
file('<stdin>',finite_domain_3) ).
fof(c_0_32,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('<stdin>',leq_succ_gt) ).
fof(c_0_33,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('<stdin>',leq_succ_gt_equiv) ).
fof(c_0_34,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('<stdin>',leq_gt_pred) ).
fof(c_0_35,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('<stdin>',finite_domain_2) ).
fof(c_0_36,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('<stdin>',finite_domain_1) ).
fof(c_0_37,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('<stdin>',leq_succ) ).
fof(c_0_38,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('<stdin>',finite_domain_0) ).
fof(c_0_39,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('<stdin>',leq_gt2) ).
fof(c_0_40,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('<stdin>',leq_gt1) ).
fof(c_0_41,axiom,
! [X1,X2] :
( geq(X1,X2)
<=> leq(X2,X1) ),
file('<stdin>',leq_geq) ).
fof(c_0_42,axiom,
! [X1,X2] :
( lt(X1,X2)
<=> gt(X2,X1) ),
file('<stdin>',lt_gt) ).
fof(c_0_43,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('<stdin>',successor_4) ).
fof(c_0_44,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
file('<stdin>',succ_plus_3_l) ).
fof(c_0_45,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('<stdin>',succ_plus_3_r) ).
fof(c_0_46,axiom,
! [X1,X2] :
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
file('<stdin>',totality) ).
fof(c_0_47,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('<stdin>',succ_plus_2_l) ).
fof(c_0_48,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('<stdin>',succ_plus_2_r) ).
fof(c_0_49,axiom,
! [X1] : ~ gt(X1,X1),
file('<stdin>',irreflexivity_gt) ).
fof(c_0_50,axiom,
! [X1] : gt(succ(X1),X1),
file('<stdin>',gt_succ) ).
fof(c_0_51,axiom,
succ(succ(succ(n0))) = n3,
file('<stdin>',successor_3) ).
fof(c_0_52,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('<stdin>',pred_minus_1) ).
fof(c_0_53,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('<stdin>',succ_plus_1_l) ).
fof(c_0_54,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('<stdin>',succ_plus_1_r) ).
fof(c_0_55,axiom,
! [X1] : leq(X1,X1),
file('<stdin>',reflexivity_leq) ).
fof(c_0_56,axiom,
gt(n999,n3),
file('<stdin>',gt_999_3) ).
fof(c_0_57,axiom,
gt(n5,n3),
file('<stdin>',gt_5_3) ).
fof(c_0_58,axiom,
gt(n4,n3),
file('<stdin>',gt_4_3) ).
fof(c_0_59,axiom,
gt(n3,n2),
file('<stdin>',gt_3_2) ).
fof(c_0_60,axiom,
gt(n999,n2),
file('<stdin>',gt_999_2) ).
fof(c_0_61,axiom,
gt(n5,n2),
file('<stdin>',gt_5_2) ).
fof(c_0_62,axiom,
gt(n4,n2),
file('<stdin>',gt_4_2) ).
fof(c_0_63,axiom,
gt(n3,n1),
file('<stdin>',gt_3_1) ).
fof(c_0_64,axiom,
gt(n2,n1),
file('<stdin>',gt_2_1) ).
fof(c_0_65,axiom,
gt(n999,n1),
file('<stdin>',gt_999_1) ).
fof(c_0_66,axiom,
gt(n5,n1),
file('<stdin>',gt_5_1) ).
fof(c_0_67,axiom,
gt(n4,n1),
file('<stdin>',gt_4_1) ).
fof(c_0_68,axiom,
gt(n3,n0),
file('<stdin>',gt_3_0) ).
fof(c_0_69,axiom,
gt(n2,n0),
file('<stdin>',gt_2_0) ).
fof(c_0_70,axiom,
gt(n1,n0),
file('<stdin>',gt_1_0) ).
fof(c_0_71,axiom,
gt(n999,n0),
file('<stdin>',gt_999_0) ).
fof(c_0_72,axiom,
gt(n5,n0),
file('<stdin>',gt_5_0) ).
fof(c_0_73,axiom,
gt(n4,n0),
file('<stdin>',gt_4_0) ).
fof(c_0_74,axiom,
gt(n3,tptp_minus_1),
file('<stdin>',gt_3_tptp_minus_1) ).
fof(c_0_75,axiom,
gt(n2,tptp_minus_1),
file('<stdin>',gt_2_tptp_minus_1) ).
fof(c_0_76,axiom,
gt(n1,tptp_minus_1),
file('<stdin>',gt_1_tptp_minus_1) ).
fof(c_0_77,axiom,
gt(n0,tptp_minus_1),
file('<stdin>',gt_0_tptp_minus_1) ).
fof(c_0_78,axiom,
gt(n999,tptp_minus_1),
file('<stdin>',gt_999_tptp_minus_1) ).
fof(c_0_79,axiom,
gt(n5,tptp_minus_1),
file('<stdin>',gt_5_tptp_minus_1) ).
fof(c_0_80,axiom,
gt(n4,tptp_minus_1),
file('<stdin>',gt_4_tptp_minus_1) ).
fof(c_0_81,axiom,
gt(n999,n5),
file('<stdin>',gt_999_5) ).
fof(c_0_82,axiom,
gt(n999,n4),
file('<stdin>',gt_999_4) ).
fof(c_0_83,axiom,
gt(n5,n4),
file('<stdin>',gt_5_4) ).
fof(c_0_84,axiom,
! [X1] : succ(pred(X1)) = X1,
file('<stdin>',succ_pred) ).
fof(c_0_85,axiom,
! [X1] : pred(succ(X1)) = X1,
file('<stdin>',pred_succ) ).
fof(c_0_86,axiom,
succ(succ(n0)) = n2,
file('<stdin>',successor_2) ).
fof(c_0_87,axiom,
succ(n0) = n1,
file('<stdin>',successor_1) ).
fof(c_0_88,axiom,
succ(tptp_minus_1) = n0,
file('<stdin>',succ_tptp_minus_1) ).
fof(c_0_89,axiom,
def != use,
file('<stdin>',defuse) ).
fof(c_0_90,axiom,
true,
file('<stdin>',ttrue) ).
fof(c_0_91,plain,
! [X14,X15,X22] :
( epred1_3(X22,X15,X14)
<=> ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) ) ),
introduced(definition) ).
fof(c_0_92,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& epred1_3(X22,X15,X14) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
inference(apply_def,[status(thm)],[c_0_0,c_0_91,theory(equality,[symmetry])]) ).
fof(c_0_93,axiom,
! [X5,X11,X7,X24,X1,X17] :
( ( ! [X26,X27] :
( ( leq(n0,X26)
& leq(n0,X27)
& leq(X26,X7)
& leq(X27,X24) )
=> a_select3(X1,X26,X27) = X17 )
& leq(n0,X5)
& leq(X5,X7)
& leq(n0,X11)
& leq(X11,X24) )
=> a_select3(tptp_update3(X1,X7,X24,X17),X5,X11) = X17 ),
c_0_1 ).
fof(c_0_94,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_msub(X14,X18),X5,X11) = a_select3(tptp_msub(X14,X18),X11,X5) ) ),
c_0_2 ).
fof(c_0_95,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,X18),X5,X11) = a_select3(tptp_madd(X14,X18),X11,X5) ) ),
c_0_3 ).
fof(c_0_96,plain,
! [X14,X15,X22] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> epred1_3(X22,X15,X14) ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
fof(c_0_97,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11,X16,X17] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15)
& leq(n0,X16)
& leq(X16,X15) )
=> a_select3(tptp_update3(X14,X16,X16,X17),X5,X11) = a_select3(tptp_update3(X14,X16,X16,X17),X11,X5) ) ),
c_0_4 ).
fof(c_0_98,axiom,
! [X14,X18,X15,X19] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
c_0_5 ).
fof(c_0_99,axiom,
! [X14,X18,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
c_0_6 ).
fof(c_0_100,axiom,
! [X5,X7,X1,X17] :
( ( ! [X26] :
( ( leq(n0,X26)
& leq(X26,X7) )
=> a_select2(X1,X26) = X17 )
& leq(n0,X5)
& leq(X5,X7) )
=> a_select2(tptp_update2(X1,X7,X17),X5) = X17 ),
c_0_7 ).
fof(c_0_101,axiom,
! [X5,X11,X7,X24,X1,X17,X25] :
( ( X5 != X7
& X11 = X24
& a_select3(X1,X7,X24) = X17 )
=> a_select3(tptp_update3(X1,X5,X11,X25),X7,X24) = X17 ),
c_0_8 ).
fof(c_0_102,axiom,
! [X1,X7,X24,X17] : a_select3(tptp_update3(X1,X7,X24,X17),X7,X24) = X17,
c_0_9 ).
fof(c_0_103,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(inv(X14),X5,X11) = a_select3(inv(X14),X11,X5) ) ),
c_0_10 ).
fof(c_0_104,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(trans(X14),X5,X11) = a_select3(trans(X14),X11,X5) ) ),
c_0_11 ).
fof(c_0_105,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( ( leq(X9,X5)
& leq(X5,X10)
& leq(X12,X11)
& leq(X11,X13) )
=> a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
c_0_12 ).
fof(c_0_106,axiom,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
c_0_13 ).
fof(c_0_107,axiom,
! [X5,X6,X7,X8] :
( ( leq(X6,X5)
& leq(X5,X7) )
=> a_select2(tptp_const_array1(dim(X6,X7),X8),X5) = X8 ),
c_0_14 ).
fof(c_0_108,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
c_0_15 ).
fof(c_0_109,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
c_0_16 ).
fof(c_0_110,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
c_0_17 ).
fof(c_0_111,axiom,
! [X1,X2] :
( leq(minus(X1,X2),X1)
=> leq(n0,X2) ),
c_0_18 ).
fof(c_0_112,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
c_0_19 ).
fof(c_0_113,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(uniform_int_rnd(X4,X1),X1) ),
c_0_20 ).
fof(c_0_114,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
c_0_21 ).
fof(c_0_115,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
c_0_22 ).
fof(c_0_116,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
c_0_23 ).
fof(c_0_117,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
c_0_24 ).
fof(c_0_118,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(n0,uniform_int_rnd(X4,X1)) ),
c_0_25 ).
fof(c_0_119,axiom,
! [X1,X2] :
( leq(succ(X1),succ(X2))
<=> leq(X1,X2) ),
c_0_26 ).
fof(c_0_120,axiom,
! [X23] : tptp_float_0_0 = sum(n0,tptp_minus_1,X23),
c_0_27 ).
fof(c_0_121,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
c_0_28 ).
fof(c_0_122,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
c_0_29 ).
fof(c_0_123,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ) ),
c_0_30 ).
fof(c_0_124,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
c_0_31 ).
fof(c_0_125,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
c_0_32 ).
fof(c_0_126,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
c_0_33 ).
fof(c_0_127,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
c_0_34 ).
fof(c_0_128,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
c_0_35 ).
fof(c_0_129,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
c_0_36 ).
fof(c_0_130,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
c_0_37 ).
fof(c_0_131,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
c_0_38 ).
fof(c_0_132,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
c_0_39 ).
fof(c_0_133,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
c_0_40 ).
fof(c_0_134,axiom,
! [X1,X2] :
( geq(X1,X2)
<=> leq(X2,X1) ),
c_0_41 ).
fof(c_0_135,axiom,
! [X1,X2] :
( lt(X1,X2)
<=> gt(X2,X1) ),
c_0_42 ).
fof(c_0_136,axiom,
succ(succ(succ(succ(n0)))) = n4,
c_0_43 ).
fof(c_0_137,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
c_0_44 ).
fof(c_0_138,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
c_0_45 ).
fof(c_0_139,axiom,
! [X1,X2] :
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
c_0_46 ).
fof(c_0_140,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
c_0_47 ).
fof(c_0_141,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
c_0_48 ).
fof(c_0_142,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_143,axiom,
! [X1] : gt(succ(X1),X1),
c_0_50 ).
fof(c_0_144,axiom,
succ(succ(succ(n0))) = n3,
c_0_51 ).
fof(c_0_145,axiom,
! [X1] : minus(X1,n1) = pred(X1),
c_0_52 ).
fof(c_0_146,axiom,
! [X1] : plus(n1,X1) = succ(X1),
c_0_53 ).
fof(c_0_147,axiom,
! [X1] : plus(X1,n1) = succ(X1),
c_0_54 ).
fof(c_0_148,axiom,
! [X1] : leq(X1,X1),
c_0_55 ).
fof(c_0_149,axiom,
gt(n999,n3),
c_0_56 ).
fof(c_0_150,axiom,
gt(n5,n3),
c_0_57 ).
fof(c_0_151,axiom,
gt(n4,n3),
c_0_58 ).
fof(c_0_152,axiom,
gt(n3,n2),
c_0_59 ).
fof(c_0_153,axiom,
gt(n999,n2),
c_0_60 ).
fof(c_0_154,axiom,
gt(n5,n2),
c_0_61 ).
fof(c_0_155,axiom,
gt(n4,n2),
c_0_62 ).
fof(c_0_156,axiom,
gt(n3,n1),
c_0_63 ).
fof(c_0_157,axiom,
gt(n2,n1),
c_0_64 ).
fof(c_0_158,axiom,
gt(n999,n1),
c_0_65 ).
fof(c_0_159,axiom,
gt(n5,n1),
c_0_66 ).
fof(c_0_160,axiom,
gt(n4,n1),
c_0_67 ).
fof(c_0_161,axiom,
gt(n3,n0),
c_0_68 ).
fof(c_0_162,axiom,
gt(n2,n0),
c_0_69 ).
fof(c_0_163,axiom,
gt(n1,n0),
c_0_70 ).
fof(c_0_164,axiom,
gt(n999,n0),
c_0_71 ).
fof(c_0_165,axiom,
gt(n5,n0),
c_0_72 ).
fof(c_0_166,axiom,
gt(n4,n0),
c_0_73 ).
fof(c_0_167,axiom,
gt(n3,tptp_minus_1),
c_0_74 ).
fof(c_0_168,axiom,
gt(n2,tptp_minus_1),
c_0_75 ).
fof(c_0_169,axiom,
gt(n1,tptp_minus_1),
c_0_76 ).
fof(c_0_170,axiom,
gt(n0,tptp_minus_1),
c_0_77 ).
fof(c_0_171,axiom,
gt(n999,tptp_minus_1),
c_0_78 ).
fof(c_0_172,axiom,
gt(n5,tptp_minus_1),
c_0_79 ).
fof(c_0_173,axiom,
gt(n4,tptp_minus_1),
c_0_80 ).
fof(c_0_174,axiom,
gt(n999,n5),
c_0_81 ).
fof(c_0_175,axiom,
gt(n999,n4),
c_0_82 ).
fof(c_0_176,axiom,
gt(n5,n4),
c_0_83 ).
fof(c_0_177,axiom,
! [X1] : succ(pred(X1)) = X1,
c_0_84 ).
fof(c_0_178,axiom,
! [X1] : pred(succ(X1)) = X1,
c_0_85 ).
fof(c_0_179,axiom,
succ(succ(n0)) = n2,
c_0_86 ).
fof(c_0_180,axiom,
succ(n0) = n1,
c_0_87 ).
fof(c_0_181,axiom,
succ(tptp_minus_1) = n0,
c_0_88 ).
fof(c_0_182,axiom,
def != use,
c_0_89 ).
fof(c_0_183,axiom,
true,
c_0_90 ).
fof(c_0_184,plain,
! [X23,X24,X25,X26,X27,X28,X29,X30,X33,X34] :
( ( leq(n0,esk19_8(X23,X24,X25,X26,X27,X28,X29,X30))
| ~ epred1_3(X28,X29,X23)
| ~ leq(n0,X33)
| ~ leq(X33,X29)
| ~ leq(n0,X34)
| ~ leq(X34,X29)
| a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X33,X34) = a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X34,X33) )
& ( leq(esk19_8(X23,X24,X25,X26,X27,X28,X29,X30),X30)
| ~ epred1_3(X28,X29,X23)
| ~ leq(n0,X33)
| ~ leq(X33,X29)
| ~ leq(n0,X34)
| ~ leq(X34,X29)
| a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X33,X34) = a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X34,X33) )
& ( leq(n0,esk20_8(X23,X24,X25,X26,X27,X28,X29,X30))
| ~ epred1_3(X28,X29,X23)
| ~ leq(n0,X33)
| ~ leq(X33,X29)
| ~ leq(n0,X34)
| ~ leq(X34,X29)
| a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X33,X34) = a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X34,X33) )
& ( leq(esk20_8(X23,X24,X25,X26,X27,X28,X29,X30),X30)
| ~ epred1_3(X28,X29,X23)
| ~ leq(n0,X33)
| ~ leq(X33,X29)
| ~ leq(n0,X34)
| ~ leq(X34,X29)
| a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X33,X34) = a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X34,X33) )
& ( a_select3(X26,esk19_8(X23,X24,X25,X26,X27,X28,X29,X30),esk20_8(X23,X24,X25,X26,X27,X28,X29,X30)) != a_select3(X26,esk20_8(X23,X24,X25,X26,X27,X28,X29,X30),esk19_8(X23,X24,X25,X26,X27,X28,X29,X30))
| ~ epred1_3(X28,X29,X23)
| ~ leq(n0,X33)
| ~ leq(X33,X29)
| ~ leq(n0,X34)
| ~ leq(X34,X29)
| a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X33,X34) = a_select3(tptp_madd(X23,tptp_mmul(X24,tptp_mmul(tptp_madd(tptp_mmul(X25,tptp_mmul(X26,trans(X25))),tptp_mmul(X27,tptp_mmul(X28,trans(X27)))),trans(X24)))),X34,X33) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])])])]) ).
fof(c_0_185,plain,
! [X28,X29,X30,X31,X32,X33] :
( ( leq(n0,esk21_6(X28,X29,X30,X31,X32,X33))
| ~ leq(n0,X28)
| ~ leq(X28,X30)
| ~ leq(n0,X29)
| ~ leq(X29,X31)
| a_select3(tptp_update3(X32,X30,X31,X33),X28,X29) = X33 )
& ( leq(n0,esk22_6(X28,X29,X30,X31,X32,X33))
| ~ leq(n0,X28)
| ~ leq(X28,X30)
| ~ leq(n0,X29)
| ~ leq(X29,X31)
| a_select3(tptp_update3(X32,X30,X31,X33),X28,X29) = X33 )
& ( leq(esk21_6(X28,X29,X30,X31,X32,X33),X30)
| ~ leq(n0,X28)
| ~ leq(X28,X30)
| ~ leq(n0,X29)
| ~ leq(X29,X31)
| a_select3(tptp_update3(X32,X30,X31,X33),X28,X29) = X33 )
& ( leq(esk22_6(X28,X29,X30,X31,X32,X33),X31)
| ~ leq(n0,X28)
| ~ leq(X28,X30)
| ~ leq(n0,X29)
| ~ leq(X29,X31)
| a_select3(tptp_update3(X32,X30,X31,X33),X28,X29) = X33 )
& ( a_select3(X32,esk21_6(X28,X29,X30,X31,X32,X33),esk22_6(X28,X29,X30,X31,X32,X33)) != X33
| ~ leq(n0,X28)
| ~ leq(X28,X30)
| ~ leq(n0,X29)
| ~ leq(X29,X31)
| a_select3(tptp_update3(X32,X30,X31,X33),X28,X29) = X33 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
fof(c_0_186,plain,
! [X19,X20,X21,X26,X27] :
( ( leq(n0,esk13_3(X19,X20,X21))
| leq(n0,esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk13_3(X19,X20,X21),X21)
| leq(n0,esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk14_3(X19,X20,X21))
| leq(n0,esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk14_3(X19,X20,X21),X21)
| leq(n0,esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( a_select3(X20,esk13_3(X19,X20,X21),esk14_3(X19,X20,X21)) != a_select3(X20,esk14_3(X19,X20,X21),esk13_3(X19,X20,X21))
| leq(n0,esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk13_3(X19,X20,X21))
| leq(esk11_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk13_3(X19,X20,X21),X21)
| leq(esk11_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk14_3(X19,X20,X21))
| leq(esk11_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk14_3(X19,X20,X21),X21)
| leq(esk11_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( a_select3(X20,esk13_3(X19,X20,X21),esk14_3(X19,X20,X21)) != a_select3(X20,esk14_3(X19,X20,X21),esk13_3(X19,X20,X21))
| leq(esk11_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk13_3(X19,X20,X21))
| leq(n0,esk12_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk13_3(X19,X20,X21),X21)
| leq(n0,esk12_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk14_3(X19,X20,X21))
| leq(n0,esk12_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk14_3(X19,X20,X21),X21)
| leq(n0,esk12_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( a_select3(X20,esk13_3(X19,X20,X21),esk14_3(X19,X20,X21)) != a_select3(X20,esk14_3(X19,X20,X21),esk13_3(X19,X20,X21))
| leq(n0,esk12_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk13_3(X19,X20,X21))
| leq(esk12_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk13_3(X19,X20,X21),X21)
| leq(esk12_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk14_3(X19,X20,X21))
| leq(esk12_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk14_3(X19,X20,X21),X21)
| leq(esk12_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( a_select3(X20,esk13_3(X19,X20,X21),esk14_3(X19,X20,X21)) != a_select3(X20,esk14_3(X19,X20,X21),esk13_3(X19,X20,X21))
| leq(esk12_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk13_3(X19,X20,X21))
| a_select3(X19,esk11_3(X19,X20,X21),esk12_3(X19,X20,X21)) != a_select3(X19,esk12_3(X19,X20,X21),esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk13_3(X19,X20,X21),X21)
| a_select3(X19,esk11_3(X19,X20,X21),esk12_3(X19,X20,X21)) != a_select3(X19,esk12_3(X19,X20,X21),esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(n0,esk14_3(X19,X20,X21))
| a_select3(X19,esk11_3(X19,X20,X21),esk12_3(X19,X20,X21)) != a_select3(X19,esk12_3(X19,X20,X21),esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( leq(esk14_3(X19,X20,X21),X21)
| a_select3(X19,esk11_3(X19,X20,X21),esk12_3(X19,X20,X21)) != a_select3(X19,esk12_3(X19,X20,X21),esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) )
& ( a_select3(X20,esk13_3(X19,X20,X21),esk14_3(X19,X20,X21)) != a_select3(X20,esk14_3(X19,X20,X21),esk13_3(X19,X20,X21))
| a_select3(X19,esk11_3(X19,X20,X21),esk12_3(X19,X20,X21)) != a_select3(X19,esk12_3(X19,X20,X21),esk11_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_msub(X19,X20),X26,X27) = a_select3(tptp_msub(X19,X20),X27,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])])])]) ).
fof(c_0_187,plain,
! [X19,X20,X21,X26,X27] :
( ( leq(n0,esk9_3(X19,X20,X21))
| leq(n0,esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk9_3(X19,X20,X21),X21)
| leq(n0,esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk10_3(X19,X20,X21))
| leq(n0,esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk10_3(X19,X20,X21),X21)
| leq(n0,esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( a_select3(X20,esk9_3(X19,X20,X21),esk10_3(X19,X20,X21)) != a_select3(X20,esk10_3(X19,X20,X21),esk9_3(X19,X20,X21))
| leq(n0,esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk9_3(X19,X20,X21))
| leq(esk7_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk9_3(X19,X20,X21),X21)
| leq(esk7_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk10_3(X19,X20,X21))
| leq(esk7_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk10_3(X19,X20,X21),X21)
| leq(esk7_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( a_select3(X20,esk9_3(X19,X20,X21),esk10_3(X19,X20,X21)) != a_select3(X20,esk10_3(X19,X20,X21),esk9_3(X19,X20,X21))
| leq(esk7_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk9_3(X19,X20,X21))
| leq(n0,esk8_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk9_3(X19,X20,X21),X21)
| leq(n0,esk8_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk10_3(X19,X20,X21))
| leq(n0,esk8_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk10_3(X19,X20,X21),X21)
| leq(n0,esk8_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( a_select3(X20,esk9_3(X19,X20,X21),esk10_3(X19,X20,X21)) != a_select3(X20,esk10_3(X19,X20,X21),esk9_3(X19,X20,X21))
| leq(n0,esk8_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk9_3(X19,X20,X21))
| leq(esk8_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk9_3(X19,X20,X21),X21)
| leq(esk8_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk10_3(X19,X20,X21))
| leq(esk8_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk10_3(X19,X20,X21),X21)
| leq(esk8_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( a_select3(X20,esk9_3(X19,X20,X21),esk10_3(X19,X20,X21)) != a_select3(X20,esk10_3(X19,X20,X21),esk9_3(X19,X20,X21))
| leq(esk8_3(X19,X20,X21),X21)
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk9_3(X19,X20,X21))
| a_select3(X19,esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)) != a_select3(X19,esk8_3(X19,X20,X21),esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk9_3(X19,X20,X21),X21)
| a_select3(X19,esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)) != a_select3(X19,esk8_3(X19,X20,X21),esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(n0,esk10_3(X19,X20,X21))
| a_select3(X19,esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)) != a_select3(X19,esk8_3(X19,X20,X21),esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( leq(esk10_3(X19,X20,X21),X21)
| a_select3(X19,esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)) != a_select3(X19,esk8_3(X19,X20,X21),esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) )
& ( a_select3(X20,esk9_3(X19,X20,X21),esk10_3(X19,X20,X21)) != a_select3(X20,esk10_3(X19,X20,X21),esk9_3(X19,X20,X21))
| a_select3(X19,esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)) != a_select3(X19,esk8_3(X19,X20,X21),esk7_3(X19,X20,X21))
| ~ leq(n0,X26)
| ~ leq(X26,X21)
| ~ leq(n0,X27)
| ~ leq(X27,X21)
| a_select3(tptp_madd(X19,X20),X26,X27) = a_select3(tptp_madd(X19,X20),X27,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])])]) ).
fof(c_0_188,plain,
! [X23,X24,X25] :
( ( leq(n0,esk26_3(X23,X24,X25))
| leq(n0,esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk26_3(X23,X24,X25),X24)
| leq(n0,esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk27_3(X23,X24,X25))
| leq(n0,esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk27_3(X23,X24,X25),X24)
| leq(n0,esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( a_select3(X25,esk26_3(X23,X24,X25),esk27_3(X23,X24,X25)) != a_select3(X25,esk27_3(X23,X24,X25),esk26_3(X23,X24,X25))
| leq(n0,esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk26_3(X23,X24,X25))
| leq(esk24_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(esk26_3(X23,X24,X25),X24)
| leq(esk24_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk27_3(X23,X24,X25))
| leq(esk24_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(esk27_3(X23,X24,X25),X24)
| leq(esk24_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( a_select3(X25,esk26_3(X23,X24,X25),esk27_3(X23,X24,X25)) != a_select3(X25,esk27_3(X23,X24,X25),esk26_3(X23,X24,X25))
| leq(esk24_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk26_3(X23,X24,X25))
| leq(n0,esk25_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk26_3(X23,X24,X25),X24)
| leq(n0,esk25_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk27_3(X23,X24,X25))
| leq(n0,esk25_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk27_3(X23,X24,X25),X24)
| leq(n0,esk25_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( a_select3(X25,esk26_3(X23,X24,X25),esk27_3(X23,X24,X25)) != a_select3(X25,esk27_3(X23,X24,X25),esk26_3(X23,X24,X25))
| leq(n0,esk25_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk26_3(X23,X24,X25))
| leq(esk25_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(esk26_3(X23,X24,X25),X24)
| leq(esk25_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk27_3(X23,X24,X25))
| leq(esk25_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(esk27_3(X23,X24,X25),X24)
| leq(esk25_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( a_select3(X25,esk26_3(X23,X24,X25),esk27_3(X23,X24,X25)) != a_select3(X25,esk27_3(X23,X24,X25),esk26_3(X23,X24,X25))
| leq(esk25_3(X23,X24,X25),X24)
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk26_3(X23,X24,X25))
| a_select3(X23,esk24_3(X23,X24,X25),esk25_3(X23,X24,X25)) != a_select3(X23,esk25_3(X23,X24,X25),esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk26_3(X23,X24,X25),X24)
| a_select3(X23,esk24_3(X23,X24,X25),esk25_3(X23,X24,X25)) != a_select3(X23,esk25_3(X23,X24,X25),esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(n0,esk27_3(X23,X24,X25))
| a_select3(X23,esk24_3(X23,X24,X25),esk25_3(X23,X24,X25)) != a_select3(X23,esk25_3(X23,X24,X25),esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( leq(esk27_3(X23,X24,X25),X24)
| a_select3(X23,esk24_3(X23,X24,X25),esk25_3(X23,X24,X25)) != a_select3(X23,esk25_3(X23,X24,X25),esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) )
& ( a_select3(X25,esk26_3(X23,X24,X25),esk27_3(X23,X24,X25)) != a_select3(X25,esk27_3(X23,X24,X25),esk26_3(X23,X24,X25))
| a_select3(X23,esk24_3(X23,X24,X25),esk25_3(X23,X24,X25)) != a_select3(X23,esk25_3(X23,X24,X25),esk24_3(X23,X24,X25))
| epred1_3(X25,X24,X23) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])])]) ).
fof(c_0_189,plain,
! [X18,X19,X22,X23,X24,X25] :
( ( leq(n0,esk5_2(X18,X19))
| ~ leq(n0,X22)
| ~ leq(X22,X19)
| ~ leq(n0,X23)
| ~ leq(X23,X19)
| ~ leq(n0,X24)
| ~ leq(X24,X19)
| a_select3(tptp_update3(X18,X24,X24,X25),X22,X23) = a_select3(tptp_update3(X18,X24,X24,X25),X23,X22) )
& ( leq(esk5_2(X18,X19),X19)
| ~ leq(n0,X22)
| ~ leq(X22,X19)
| ~ leq(n0,X23)
| ~ leq(X23,X19)
| ~ leq(n0,X24)
| ~ leq(X24,X19)
| a_select3(tptp_update3(X18,X24,X24,X25),X22,X23) = a_select3(tptp_update3(X18,X24,X24,X25),X23,X22) )
& ( leq(n0,esk6_2(X18,X19))
| ~ leq(n0,X22)
| ~ leq(X22,X19)
| ~ leq(n0,X23)
| ~ leq(X23,X19)
| ~ leq(n0,X24)
| ~ leq(X24,X19)
| a_select3(tptp_update3(X18,X24,X24,X25),X22,X23) = a_select3(tptp_update3(X18,X24,X24,X25),X23,X22) )
& ( leq(esk6_2(X18,X19),X19)
| ~ leq(n0,X22)
| ~ leq(X22,X19)
| ~ leq(n0,X23)
| ~ leq(X23,X19)
| ~ leq(n0,X24)
| ~ leq(X24,X19)
| a_select3(tptp_update3(X18,X24,X24,X25),X22,X23) = a_select3(tptp_update3(X18,X24,X24,X25),X23,X22) )
& ( a_select3(X18,esk5_2(X18,X19),esk6_2(X18,X19)) != a_select3(X18,esk6_2(X18,X19),esk5_2(X18,X19))
| ~ leq(n0,X22)
| ~ leq(X22,X19)
| ~ leq(n0,X23)
| ~ leq(X23,X19)
| ~ leq(n0,X24)
| ~ leq(X24,X19)
| a_select3(tptp_update3(X18,X24,X24,X25),X22,X23) = a_select3(tptp_update3(X18,X24,X24,X25),X23,X22) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])])])]) ).
fof(c_0_190,plain,
! [X20,X21,X22,X25,X26,X27] :
( ( leq(n0,esk17_3(X20,X21,X22))
| ~ leq(n0,X26)
| ~ leq(X26,X25)
| ~ leq(n0,X27)
| ~ leq(X27,X25)
| a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X26,X27) = a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X27,X26) )
& ( leq(esk17_3(X20,X21,X22),X22)
| ~ leq(n0,X26)
| ~ leq(X26,X25)
| ~ leq(n0,X27)
| ~ leq(X27,X25)
| a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X26,X27) = a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X27,X26) )
& ( leq(n0,esk18_3(X20,X21,X22))
| ~ leq(n0,X26)
| ~ leq(X26,X25)
| ~ leq(n0,X27)
| ~ leq(X27,X25)
| a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X26,X27) = a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X27,X26) )
& ( leq(esk18_3(X20,X21,X22),X22)
| ~ leq(n0,X26)
| ~ leq(X26,X25)
| ~ leq(n0,X27)
| ~ leq(X27,X25)
| a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X26,X27) = a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X27,X26) )
& ( a_select3(X21,esk17_3(X20,X21,X22),esk18_3(X20,X21,X22)) != a_select3(X21,esk18_3(X20,X21,X22),esk17_3(X20,X21,X22))
| ~ leq(n0,X26)
| ~ leq(X26,X25)
| ~ leq(n0,X27)
| ~ leq(X27,X25)
| a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X26,X27) = a_select3(tptp_mmul(X20,tptp_mmul(X21,trans(X20))),X27,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])])])])]) ).
fof(c_0_191,plain,
! [X19,X20,X21,X24,X25] :
( ( leq(n0,esk15_3(X19,X20,X21))
| ~ leq(n0,X24)
| ~ leq(X24,X21)
| ~ leq(n0,X25)
| ~ leq(X25,X21)
| a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X24,X25) = a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X25,X24) )
& ( leq(esk15_3(X19,X20,X21),X21)
| ~ leq(n0,X24)
| ~ leq(X24,X21)
| ~ leq(n0,X25)
| ~ leq(X25,X21)
| a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X24,X25) = a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X25,X24) )
& ( leq(n0,esk16_3(X19,X20,X21))
| ~ leq(n0,X24)
| ~ leq(X24,X21)
| ~ leq(n0,X25)
| ~ leq(X25,X21)
| a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X24,X25) = a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X25,X24) )
& ( leq(esk16_3(X19,X20,X21),X21)
| ~ leq(n0,X24)
| ~ leq(X24,X21)
| ~ leq(n0,X25)
| ~ leq(X25,X21)
| a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X24,X25) = a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X25,X24) )
& ( a_select3(X20,esk15_3(X19,X20,X21),esk16_3(X19,X20,X21)) != a_select3(X20,esk16_3(X19,X20,X21),esk15_3(X19,X20,X21))
| ~ leq(n0,X24)
| ~ leq(X24,X21)
| ~ leq(n0,X25)
| ~ leq(X25,X21)
| a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X24,X25) = a_select3(tptp_mmul(X19,tptp_mmul(X20,trans(X19))),X25,X24) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])])])]) ).
fof(c_0_192,plain,
! [X27,X28,X29,X30] :
( ( leq(n0,esk23_4(X27,X28,X29,X30))
| ~ leq(n0,X27)
| ~ leq(X27,X28)
| a_select2(tptp_update2(X29,X28,X30),X27) = X30 )
& ( leq(esk23_4(X27,X28,X29,X30),X28)
| ~ leq(n0,X27)
| ~ leq(X27,X28)
| a_select2(tptp_update2(X29,X28,X30),X27) = X30 )
& ( a_select2(X29,esk23_4(X27,X28,X29,X30)) != X30
| ~ leq(n0,X27)
| ~ leq(X27,X28)
| a_select2(tptp_update2(X29,X28,X30),X27) = X30 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])])]) ).
fof(c_0_193,plain,
! [X26,X27,X28,X29,X30,X31,X32] :
( X26 = X28
| X27 != X29
| a_select3(X30,X28,X29) != X31
| a_select3(tptp_update3(X30,X26,X27,X32),X28,X29) = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])]) ).
fof(c_0_194,plain,
! [X25,X26,X27,X28] : a_select3(tptp_update3(X25,X26,X27,X28),X26,X27) = X28,
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_195,plain,
! [X16,X17,X20,X21] :
( ( leq(n0,esk3_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(inv(X16),X20,X21) = a_select3(inv(X16),X21,X20) )
& ( leq(esk3_2(X16,X17),X17)
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(inv(X16),X20,X21) = a_select3(inv(X16),X21,X20) )
& ( leq(n0,esk4_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(inv(X16),X20,X21) = a_select3(inv(X16),X21,X20) )
& ( leq(esk4_2(X16,X17),X17)
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(inv(X16),X20,X21) = a_select3(inv(X16),X21,X20) )
& ( a_select3(X16,esk3_2(X16,X17),esk4_2(X16,X17)) != a_select3(X16,esk4_2(X16,X17),esk3_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(inv(X16),X20,X21) = a_select3(inv(X16),X21,X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])])]) ).
fof(c_0_196,plain,
! [X16,X17,X20,X21] :
( ( leq(n0,esk1_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(trans(X16),X20,X21) = a_select3(trans(X16),X21,X20) )
& ( leq(esk1_2(X16,X17),X17)
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(trans(X16),X20,X21) = a_select3(trans(X16),X21,X20) )
& ( leq(n0,esk2_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(trans(X16),X20,X21) = a_select3(trans(X16),X21,X20) )
& ( leq(esk2_2(X16,X17),X17)
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(trans(X16),X20,X21) = a_select3(trans(X16),X21,X20) )
& ( a_select3(X16,esk1_2(X16,X17),esk2_2(X16,X17)) != a_select3(X16,esk2_2(X16,X17),esk1_2(X16,X17))
| ~ leq(n0,X20)
| ~ leq(X20,X17)
| ~ leq(n0,X21)
| ~ leq(X21,X17)
| a_select3(trans(X16),X20,X21) = a_select3(trans(X16),X21,X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])])])]) ).
fof(c_0_197,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( ~ leq(X15,X14)
| ~ leq(X14,X16)
| ~ leq(X18,X17)
| ~ leq(X17,X19)
| a_select3(tptp_const_array2(dim(X15,X16),dim(X18,X19),X20),X14,X17) = X20 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])])]) ).
fof(c_0_198,plain,
! [X26,X27,X28,X29,X30] :
( X26 = X27
| a_select2(X28,X27) != X29
| a_select2(tptp_update2(X28,X26,X30),X27) = X29 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])]) ).
fof(c_0_199,plain,
! [X9,X10,X11,X12] :
( ~ leq(X10,X9)
| ~ leq(X9,X11)
| a_select2(tptp_const_array1(dim(X10,X11),X12),X9) = X12 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])]) ).
fof(c_0_200,plain,
! [X18,X19,X20] : a_select2(tptp_update2(X18,X19,X20),X19) = X20,
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_201,plain,
! [X2] : plus(n5,X2) = succ(succ(succ(succ(succ(X2))))),
inference(variable_rename,[status(thm)],[c_0_109]) ).
fof(c_0_202,plain,
! [X2] : plus(X2,n5) = succ(succ(succ(succ(succ(X2))))),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_203,plain,
! [X3,X4] :
( ~ leq(minus(X3,X4),X3)
| leq(n0,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])]) ).
fof(c_0_204,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
c_0_112 ).
fof(c_0_205,plain,
! [X5,X6] :
( ~ leq(n0,X5)
| leq(uniform_int_rnd(X6,X5),X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])])]) ).
fof(c_0_206,plain,
! [X4,X5,X6] :
( ~ leq(X4,X5)
| ~ leq(X5,X6)
| leq(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])]) ).
fof(c_0_207,plain,
! [X4,X5,X6] :
( ~ gt(X4,X5)
| ~ gt(X5,X6)
| gt(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])]) ).
fof(c_0_208,plain,
! [X2] : plus(n4,X2) = succ(succ(succ(succ(X2)))),
inference(variable_rename,[status(thm)],[c_0_116]) ).
fof(c_0_209,plain,
! [X2] : plus(X2,n4) = succ(succ(succ(succ(X2)))),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_210,plain,
! [X5,X6] :
( ~ leq(n0,X5)
| leq(n0,uniform_int_rnd(X6,X5)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])]) ).
fof(c_0_211,plain,
! [X3,X4,X5,X6] :
( ( ~ leq(succ(X3),succ(X4))
| leq(X3,X4) )
& ( ~ leq(X5,X6)
| leq(succ(X5),succ(X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_119])])])]) ).
fof(c_0_212,plain,
! [X24] : tptp_float_0_0 = sum(n0,tptp_minus_1,X24),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_213,plain,
! [X24] : sum(n0,tptp_minus_1,X24) = n0,
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_214,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n5)
| X2 = n0
| X2 = n1
| X2 = n2
| X2 = n3
| X2 = n4
| X2 = n5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])]) ).
fof(c_0_215,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| X2 = n0
| X2 = n1
| X2 = n2
| X2 = n3
| X2 = n4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])]) ).
fof(c_0_216,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n3)
| X2 = n0
| X2 = n1
| X2 = n2
| X2 = n3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])]) ).
fof(c_0_217,plain,
! [X3,X4] :
( ~ leq(succ(X3),X4)
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])]) ).
fof(c_0_218,plain,
! [X3,X4,X5,X6] :
( ( ~ leq(X3,X4)
| gt(succ(X4),X3) )
& ( ~ gt(succ(X6),X5)
| leq(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])]) ).
fof(c_0_219,plain,
! [X3,X4,X5,X6] :
( ( ~ leq(X3,pred(X4))
| gt(X4,X3) )
& ( ~ gt(X6,X5)
| leq(X5,pred(X6)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])])]) ).
fof(c_0_220,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n2)
| X2 = n0
| X2 = n1
| X2 = n2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])]) ).
fof(c_0_221,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n1)
| X2 = n0
| X2 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])]) ).
fof(c_0_222,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| leq(X3,succ(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])]) ).
fof(c_0_223,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n0)
| X2 = n0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])]) ).
fof(c_0_224,plain,
! [X3,X4] :
( ~ leq(X3,X4)
| X3 = X4
| gt(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])]) ).
fof(c_0_225,plain,
! [X3,X4] :
( ~ gt(X4,X3)
| leq(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])]) ).
fof(c_0_226,plain,
! [X3,X4,X5,X6] :
( ( ~ geq(X3,X4)
| leq(X4,X3) )
& ( ~ leq(X6,X5)
| geq(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])])]) ).
fof(c_0_227,plain,
! [X3,X4,X5,X6] :
( ( ~ lt(X3,X4)
| gt(X4,X3) )
& ( ~ gt(X6,X5)
| lt(X5,X6) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_135])])])]) ).
fof(c_0_228,axiom,
succ(succ(succ(succ(n0)))) = n4,
c_0_136 ).
fof(c_0_229,plain,
! [X2] : plus(n3,X2) = succ(succ(succ(X2))),
inference(variable_rename,[status(thm)],[c_0_137]) ).
fof(c_0_230,plain,
! [X2] : plus(X2,n3) = succ(succ(succ(X2))),
inference(variable_rename,[status(thm)],[c_0_138]) ).
fof(c_0_231,plain,
! [X3,X4] :
( gt(X3,X4)
| gt(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[c_0_139]) ).
fof(c_0_232,plain,
! [X2] : plus(n2,X2) = succ(succ(X2)),
inference(variable_rename,[status(thm)],[c_0_140]) ).
fof(c_0_233,plain,
! [X2] : plus(X2,n2) = succ(succ(X2)),
inference(variable_rename,[status(thm)],[c_0_141]) ).
fof(c_0_234,plain,
! [X2] : ~ gt(X2,X2),
inference(variable_rename,[status(thm)],[c_0_142]) ).
fof(c_0_235,plain,
! [X2] : gt(succ(X2),X2),
inference(variable_rename,[status(thm)],[c_0_143]) ).
fof(c_0_236,axiom,
succ(succ(succ(n0))) = n3,
c_0_144 ).
fof(c_0_237,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[c_0_145]) ).
fof(c_0_238,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[c_0_146]) ).
fof(c_0_239,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_240,plain,
! [X2] : leq(X2,X2),
inference(variable_rename,[status(thm)],[c_0_148]) ).
fof(c_0_241,axiom,
gt(n999,n3),
c_0_149 ).
fof(c_0_242,axiom,
gt(n5,n3),
c_0_150 ).
fof(c_0_243,axiom,
gt(n4,n3),
c_0_151 ).
fof(c_0_244,axiom,
gt(n3,n2),
c_0_152 ).
fof(c_0_245,axiom,
gt(n999,n2),
c_0_153 ).
fof(c_0_246,axiom,
gt(n5,n2),
c_0_154 ).
fof(c_0_247,axiom,
gt(n4,n2),
c_0_155 ).
fof(c_0_248,axiom,
gt(n3,n1),
c_0_156 ).
fof(c_0_249,axiom,
gt(n2,n1),
c_0_157 ).
fof(c_0_250,axiom,
gt(n999,n1),
c_0_158 ).
fof(c_0_251,axiom,
gt(n5,n1),
c_0_159 ).
fof(c_0_252,axiom,
gt(n4,n1),
c_0_160 ).
fof(c_0_253,axiom,
gt(n3,n0),
c_0_161 ).
fof(c_0_254,axiom,
gt(n2,n0),
c_0_162 ).
fof(c_0_255,axiom,
gt(n1,n0),
c_0_163 ).
fof(c_0_256,axiom,
gt(n999,n0),
c_0_164 ).
fof(c_0_257,axiom,
gt(n5,n0),
c_0_165 ).
fof(c_0_258,axiom,
gt(n4,n0),
c_0_166 ).
fof(c_0_259,axiom,
gt(n3,tptp_minus_1),
c_0_167 ).
fof(c_0_260,axiom,
gt(n2,tptp_minus_1),
c_0_168 ).
fof(c_0_261,axiom,
gt(n1,tptp_minus_1),
c_0_169 ).
fof(c_0_262,axiom,
gt(n0,tptp_minus_1),
c_0_170 ).
fof(c_0_263,axiom,
gt(n999,tptp_minus_1),
c_0_171 ).
fof(c_0_264,axiom,
gt(n5,tptp_minus_1),
c_0_172 ).
fof(c_0_265,axiom,
gt(n4,tptp_minus_1),
c_0_173 ).
fof(c_0_266,axiom,
gt(n999,n5),
c_0_174 ).
fof(c_0_267,axiom,
gt(n999,n4),
c_0_175 ).
fof(c_0_268,axiom,
gt(n5,n4),
c_0_176 ).
fof(c_0_269,plain,
! [X2] : succ(pred(X2)) = X2,
inference(variable_rename,[status(thm)],[c_0_177]) ).
fof(c_0_270,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[c_0_178]) ).
fof(c_0_271,axiom,
succ(succ(n0)) = n2,
c_0_179 ).
fof(c_0_272,axiom,
succ(n0) = n1,
c_0_180 ).
fof(c_0_273,axiom,
succ(tptp_minus_1) = n0,
c_0_181 ).
fof(c_0_274,axiom,
def != use,
c_0_182 ).
fof(c_0_275,axiom,
true,
c_0_183 ).
cnf(c_0_276,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_277,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_278,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_279,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_280,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_281,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| a_select3(X1,esk21_6(X5,X6,X2,X3,X1,X4),esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_282,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(esk21_6(X5,X6,X2,X3,X1,X4),X2)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_283,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(esk22_6(X5,X6,X2,X3,X1,X4),X3)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_284,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,esk21_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_285,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,esk22_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_286,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) != a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5))
| a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) != a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_287,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) != a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5))
| a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) != a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_288,plain,
( epred1_3(X1,X2,X3)
| a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) != a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1))
| a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) != a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_289,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,esk5_2(X1,X6),esk6_2(X1,X6)) != a_select3(X1,esk6_2(X1,X6),esk5_2(X1,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_290,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk5_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_291,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk6_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_292,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk5_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_293,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk6_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_294,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk17_3(X1,X2,X6),esk18_3(X1,X2,X6)) != a_select3(X2,esk18_3(X1,X2,X6),esk17_3(X1,X2,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_295,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk15_3(X1,X2,X5),esk16_3(X1,X2,X5)) != a_select3(X2,esk16_3(X1,X2,X5),esk15_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_296,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) != a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_297,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) != a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_298,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) != a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_299,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) != a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_300,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) != a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_301,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) != a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_302,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) != a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_303,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) != a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_304,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) != a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_305,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) != a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_306,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) != a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_307,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) != a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_308,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) != a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_309,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) != a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_310,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) != a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_311,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) != a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_312,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) != a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_313,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) != a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_314,plain,
( epred1_3(X1,X2,X3)
| leq(esk26_3(X3,X2,X1),X2)
| a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) != a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_315,plain,
( epred1_3(X1,X2,X3)
| leq(esk27_3(X3,X2,X1),X2)
| a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) != a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_316,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) != a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_317,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) != a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_318,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk26_3(X3,X2,X1))
| a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) != a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_319,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk27_3(X3,X2,X1))
| a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) != a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_320,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| a_select2(X1,esk23_4(X4,X2,X1,X3)) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_321,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(esk23_4(X4,X2,X1,X3),X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_322,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(n0,esk23_4(X4,X2,X1,X3))
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_323,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7
| X2 = X5
| a_select3(X1,X5,X6) != X7
| X3 != X6 ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_324,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_325,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,esk3_2(X1,X4),esk4_2(X1,X4)) != a_select3(X1,esk4_2(X1,X4),esk3_2(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_326,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,esk1_2(X1,X4),esk2_2(X1,X4)) != a_select3(X1,esk2_2(X1,X4),esk1_2(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_327,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk17_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_328,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk18_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_329,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk15_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_330,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk16_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_331,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk17_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_332,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk18_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_333,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk15_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_334,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk16_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_335,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_336,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_337,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_338,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_339,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_340,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_341,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_342,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_343,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_344,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_345,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_346,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_347,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_348,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_349,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_350,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_351,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_352,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_353,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_354,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_355,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_356,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_357,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_358,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_359,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_360,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_361,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_362,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_363,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_364,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_365,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_366,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_367,plain,
( a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X7,X4)
| ~ leq(X3,X7)
| ~ leq(X6,X2)
| ~ leq(X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_368,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(esk26_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_369,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(esk27_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_370,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(esk26_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_371,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(esk27_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_372,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(esk26_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_373,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(esk27_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_374,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(n0,esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_375,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(n0,esk27_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_376,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(esk26_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_377,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(esk27_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_378,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(n0,esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_379,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(n0,esk27_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_380,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(n0,esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_381,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(n0,esk27_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_382,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(n0,esk26_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_383,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(n0,esk27_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_384,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk3_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_385,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk4_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_386,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk1_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_387,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk2_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_388,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk3_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_389,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk4_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_390,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk1_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_391,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk2_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_392,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X5
| X2 = X4
| a_select2(X1,X4) != X5 ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_393,plain,
( a_select2(tptp_const_array1(dim(X1,X2),X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_394,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_395,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_396,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_397,plain,
( leq(n0,X1)
| ~ leq(minus(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_398,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_399,plain,
( leq(uniform_int_rnd(X1,X2),X2)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_400,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_401,plain,
( gt(X1,X2)
| ~ gt(X3,X2)
| ~ gt(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_402,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_403,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_404,plain,
( leq(n0,uniform_int_rnd(X1,X2))
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_405,plain,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_406,plain,
tptp_float_0_0 = sum(n0,tptp_minus_1,X1),
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_407,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_408,plain,
( X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_409,plain,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_410,plain,
( X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_411,plain,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_412,plain,
( gt(X1,X2)
| ~ leq(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_413,plain,
( leq(X1,X2)
| ~ gt(succ(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_414,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_415,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_416,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_417,plain,
( gt(succ(X1),X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_418,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_419,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_420,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_421,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_422,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_423,plain,
( leq(X1,X2)
| ~ geq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_424,plain,
( geq(X1,X2)
| ~ leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_425,plain,
( gt(X1,X2)
| ~ lt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_426,plain,
( lt(X1,X2)
| ~ gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_427,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_428,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_429,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_430,plain,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_431,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_432,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_433,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_434,plain,
gt(succ(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_435,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_436,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_437,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_438,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_439,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_440,plain,
gt(n999,n3),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_441,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_442,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_443,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_444,plain,
gt(n999,n2),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_445,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_446,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_447,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_448,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_449,plain,
gt(n999,n1),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_450,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_451,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_452,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_453,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_454,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_455,plain,
gt(n999,n0),
inference(split_conjunct,[status(thm)],[c_0_256]) ).
cnf(c_0_456,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_457,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
cnf(c_0_458,plain,
gt(n3,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_459,plain,
gt(n2,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_260]) ).
cnf(c_0_460,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_461,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_462,plain,
gt(n999,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_463,plain,
gt(n5,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_464,plain,
gt(n4,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_465,plain,
gt(n999,n5),
inference(split_conjunct,[status(thm)],[c_0_266]) ).
cnf(c_0_466,plain,
gt(n999,n4),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_467,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_468,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_469,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_270]) ).
cnf(c_0_470,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_471,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_472,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_473,plain,
def != use,
inference(split_conjunct,[status(thm)],[c_0_274]) ).
cnf(c_0_474,plain,
true,
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_475,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
c_0_276,
[final] ).
cnf(c_0_476,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
c_0_277,
[final] ).
cnf(c_0_477,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
c_0_278,
[final] ).
cnf(c_0_478,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
c_0_279,
[final] ).
cnf(c_0_479,plain,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
c_0_280,
[final] ).
cnf(c_0_480,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| a_select3(X1,esk21_6(X5,X6,X2,X3,X1,X4),esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
c_0_281,
[final] ).
cnf(c_0_481,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(esk21_6(X5,X6,X2,X3,X1,X4),X2)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
c_0_282,
[final] ).
cnf(c_0_482,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(esk22_6(X5,X6,X2,X3,X1,X4),X3)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
c_0_283,
[final] ).
cnf(c_0_483,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,esk21_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
c_0_284,
[final] ).
cnf(c_0_484,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,esk22_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
c_0_285,
[final] ).
cnf(c_0_485,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) != a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5))
| a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) != a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) ),
c_0_286,
[final] ).
cnf(c_0_486,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) != a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5))
| a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) != a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) ),
c_0_287,
[final] ).
cnf(c_0_487,plain,
( epred1_3(X1,X2,X3)
| a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1))
| a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) != a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) ),
c_0_288,
[final] ).
cnf(c_0_488,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,esk6_2(X1,X6),esk5_2(X1,X6)) != a_select3(X1,esk5_2(X1,X6),esk6_2(X1,X6)) ),
c_0_289,
[final] ).
cnf(c_0_489,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk5_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_290,
[final] ).
cnf(c_0_490,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk6_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_291,
[final] ).
cnf(c_0_491,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk5_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_292,
[final] ).
cnf(c_0_492,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk6_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_293,
[final] ).
cnf(c_0_493,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk18_3(X1,X2,X6),esk17_3(X1,X2,X6)) != a_select3(X2,esk17_3(X1,X2,X6),esk18_3(X1,X2,X6)) ),
c_0_294,
[final] ).
cnf(c_0_494,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk16_3(X1,X2,X5),esk15_3(X1,X2,X5)) != a_select3(X2,esk15_3(X1,X2,X5),esk16_3(X1,X2,X5)) ),
c_0_295,
[final] ).
cnf(c_0_495,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) != a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) ),
c_0_296,
[final] ).
cnf(c_0_496,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) != a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) ),
c_0_297,
[final] ).
cnf(c_0_497,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) != a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) ),
c_0_298,
[final] ).
cnf(c_0_498,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) != a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) ),
c_0_299,
[final] ).
cnf(c_0_499,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) != a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) ),
c_0_300,
[final] ).
cnf(c_0_500,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) != a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) ),
c_0_301,
[final] ).
cnf(c_0_501,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) != a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) ),
c_0_302,
[final] ).
cnf(c_0_502,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) != a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) ),
c_0_303,
[final] ).
cnf(c_0_503,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) != a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) ),
c_0_304,
[final] ).
cnf(c_0_504,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk14_3(X1,X2,X5),esk13_3(X1,X2,X5)) != a_select3(X2,esk13_3(X1,X2,X5),esk14_3(X1,X2,X5)) ),
c_0_305,
[final] ).
cnf(c_0_505,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) != a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) ),
c_0_306,
[final] ).
cnf(c_0_506,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk12_3(X1,X2,X5),esk11_3(X1,X2,X5)) != a_select3(X1,esk11_3(X1,X2,X5),esk12_3(X1,X2,X5)) ),
c_0_307,
[final] ).
cnf(c_0_507,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) != a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) ),
c_0_308,
[final] ).
cnf(c_0_508,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,esk10_3(X1,X2,X5),esk9_3(X1,X2,X5)) != a_select3(X2,esk9_3(X1,X2,X5),esk10_3(X1,X2,X5)) ),
c_0_309,
[final] ).
cnf(c_0_509,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) != a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) ),
c_0_310,
[final] ).
cnf(c_0_510,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,esk8_3(X1,X2,X5),esk7_3(X1,X2,X5)) != a_select3(X1,esk7_3(X1,X2,X5),esk8_3(X1,X2,X5)) ),
c_0_311,
[final] ).
cnf(c_0_511,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) != a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) ),
c_0_312,
[final] ).
cnf(c_0_512,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) != a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) ),
c_0_313,
[final] ).
cnf(c_0_513,plain,
( epred1_3(X1,X2,X3)
| leq(esk26_3(X3,X2,X1),X2)
| a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) ),
c_0_314,
[final] ).
cnf(c_0_514,plain,
( epred1_3(X1,X2,X3)
| leq(esk27_3(X3,X2,X1),X2)
| a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) ),
c_0_315,
[final] ).
cnf(c_0_515,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) != a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) ),
c_0_316,
[final] ).
cnf(c_0_516,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| a_select3(X1,esk27_3(X3,X2,X1),esk26_3(X3,X2,X1)) != a_select3(X1,esk26_3(X3,X2,X1),esk27_3(X3,X2,X1)) ),
c_0_317,
[final] ).
cnf(c_0_517,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk26_3(X3,X2,X1))
| a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) ),
c_0_318,
[final] ).
cnf(c_0_518,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk27_3(X3,X2,X1))
| a_select3(X3,esk25_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X3,esk24_3(X3,X2,X1),esk25_3(X3,X2,X1)) ),
c_0_319,
[final] ).
cnf(c_0_519,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| a_select2(X1,esk23_4(X4,X2,X1,X3)) != X3 ),
c_0_320,
[final] ).
cnf(c_0_520,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(esk23_4(X4,X2,X1,X3),X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
c_0_321,
[final] ).
cnf(c_0_521,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(n0,esk23_4(X4,X2,X1,X3))
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
c_0_322,
[final] ).
cnf(c_0_522,plain,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7
| X2 = X5
| a_select3(X1,X5,X6) != X7
| X3 != X6 ),
c_0_323,
[final] ).
cnf(c_0_523,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
c_0_324,
[final] ).
cnf(c_0_524,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,esk4_2(X1,X4),esk3_2(X1,X4)) != a_select3(X1,esk3_2(X1,X4),esk4_2(X1,X4)) ),
c_0_325,
[final] ).
cnf(c_0_525,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,esk2_2(X1,X4),esk1_2(X1,X4)) != a_select3(X1,esk1_2(X1,X4),esk2_2(X1,X4)) ),
c_0_326,
[final] ).
cnf(c_0_526,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk17_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_327,
[final] ).
cnf(c_0_527,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk18_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_328,
[final] ).
cnf(c_0_528,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk15_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_329,
[final] ).
cnf(c_0_529,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(esk16_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_330,
[final] ).
cnf(c_0_530,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk17_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_331,
[final] ).
cnf(c_0_531,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk18_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_332,
[final] ).
cnf(c_0_532,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk15_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_333,
[final] ).
cnf(c_0_533,plain,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,esk16_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_334,
[final] ).
cnf(c_0_534,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_335,
[final] ).
cnf(c_0_535,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_336,
[final] ).
cnf(c_0_536,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_337,
[final] ).
cnf(c_0_537,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_338,
[final] ).
cnf(c_0_538,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_339,
[final] ).
cnf(c_0_539,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_340,
[final] ).
cnf(c_0_540,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_341,
[final] ).
cnf(c_0_541,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_342,
[final] ).
cnf(c_0_542,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_343,
[final] ).
cnf(c_0_543,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_344,
[final] ).
cnf(c_0_544,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_345,
[final] ).
cnf(c_0_545,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk11_3(X1,X2,X5),X5)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_346,
[final] ).
cnf(c_0_546,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_347,
[final] ).
cnf(c_0_547,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_348,
[final] ).
cnf(c_0_548,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_349,
[final] ).
cnf(c_0_549,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(esk12_3(X1,X2,X5),X5)
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_350,
[final] ).
cnf(c_0_550,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_351,
[final] ).
cnf(c_0_551,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_352,
[final] ).
cnf(c_0_552,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_353,
[final] ).
cnf(c_0_553,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk7_3(X1,X2,X5),X5)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_354,
[final] ).
cnf(c_0_554,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_355,
[final] ).
cnf(c_0_555,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_356,
[final] ).
cnf(c_0_556,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_357,
[final] ).
cnf(c_0_557,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(esk8_3(X1,X2,X5),X5)
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_358,
[final] ).
cnf(c_0_558,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_359,
[final] ).
cnf(c_0_559,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk11_3(X1,X2,X5))
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_360,
[final] ).
cnf(c_0_560,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(n0,esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_361,
[final] ).
cnf(c_0_561,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,esk12_3(X1,X2,X5))
| leq(n0,esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_362,
[final] ).
cnf(c_0_562,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_363,
[final] ).
cnf(c_0_563,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk7_3(X1,X2,X5))
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_364,
[final] ).
cnf(c_0_564,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(n0,esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_365,
[final] ).
cnf(c_0_565,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,esk8_3(X1,X2,X5))
| leq(n0,esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_366,
[final] ).
cnf(c_0_566,plain,
( a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X7,X4)
| ~ leq(X3,X7)
| ~ leq(X6,X2)
| ~ leq(X1,X6) ),
c_0_367,
[final] ).
cnf(c_0_567,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(esk26_3(X3,X2,X1),X2) ),
c_0_368,
[final] ).
cnf(c_0_568,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(esk27_3(X3,X2,X1),X2) ),
c_0_369,
[final] ).
cnf(c_0_569,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(esk26_3(X3,X2,X1),X2) ),
c_0_370,
[final] ).
cnf(c_0_570,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(esk27_3(X3,X2,X1),X2) ),
c_0_371,
[final] ).
cnf(c_0_571,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(esk26_3(X3,X2,X1),X2) ),
c_0_372,
[final] ).
cnf(c_0_572,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(esk27_3(X3,X2,X1),X2) ),
c_0_373,
[final] ).
cnf(c_0_573,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(n0,esk26_3(X3,X2,X1)) ),
c_0_374,
[final] ).
cnf(c_0_574,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| leq(n0,esk27_3(X3,X2,X1)) ),
c_0_375,
[final] ).
cnf(c_0_575,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(esk26_3(X3,X2,X1),X2) ),
c_0_376,
[final] ).
cnf(c_0_576,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(esk27_3(X3,X2,X1),X2) ),
c_0_377,
[final] ).
cnf(c_0_577,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(n0,esk26_3(X3,X2,X1)) ),
c_0_378,
[final] ).
cnf(c_0_578,plain,
( epred1_3(X1,X2,X3)
| leq(esk25_3(X3,X2,X1),X2)
| leq(n0,esk27_3(X3,X2,X1)) ),
c_0_379,
[final] ).
cnf(c_0_579,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(n0,esk26_3(X3,X2,X1)) ),
c_0_380,
[final] ).
cnf(c_0_580,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| leq(n0,esk27_3(X3,X2,X1)) ),
c_0_381,
[final] ).
cnf(c_0_581,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(n0,esk26_3(X3,X2,X1)) ),
c_0_382,
[final] ).
cnf(c_0_582,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk25_3(X3,X2,X1))
| leq(n0,esk27_3(X3,X2,X1)) ),
c_0_383,
[final] ).
cnf(c_0_583,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk3_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_384,
[final] ).
cnf(c_0_584,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk4_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_385,
[final] ).
cnf(c_0_585,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk1_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_386,
[final] ).
cnf(c_0_586,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk2_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_387,
[final] ).
cnf(c_0_587,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk3_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_388,
[final] ).
cnf(c_0_588,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk4_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_389,
[final] ).
cnf(c_0_589,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk1_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_390,
[final] ).
cnf(c_0_590,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk2_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_391,
[final] ).
cnf(c_0_591,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = X5
| X2 = X4
| a_select2(X1,X4) != X5 ),
c_0_392,
[final] ).
cnf(c_0_592,plain,
( a_select2(tptp_const_array1(dim(X1,X2),X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(X1,X4) ),
c_0_393,
[final] ).
cnf(c_0_593,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
c_0_394,
[final] ).
cnf(c_0_594,plain,
succ(succ(succ(succ(succ(X1))))) = plus(n5,X1),
c_0_395,
[final] ).
cnf(c_0_595,plain,
succ(succ(succ(succ(succ(X1))))) = plus(X1,n5),
c_0_396,
[final] ).
cnf(c_0_596,plain,
( leq(n0,X1)
| ~ leq(minus(X2,X1),X2) ),
c_0_397,
[final] ).
cnf(c_0_597,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
c_0_398,
[final] ).
cnf(c_0_598,plain,
( leq(uniform_int_rnd(X1,X2),X2)
| ~ leq(n0,X2) ),
c_0_399,
[final] ).
cnf(c_0_599,plain,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
c_0_400,
[final] ).
cnf(c_0_600,plain,
( gt(X1,X2)
| ~ gt(X3,X2)
| ~ gt(X1,X3) ),
c_0_401,
[final] ).
cnf(c_0_601,plain,
succ(succ(succ(succ(X1)))) = plus(n4,X1),
c_0_402,
[final] ).
cnf(c_0_602,plain,
succ(succ(succ(succ(X1)))) = plus(X1,n4),
c_0_403,
[final] ).
cnf(c_0_603,plain,
( leq(n0,uniform_int_rnd(X1,X2))
| ~ leq(n0,X2) ),
c_0_404,
[final] ).
cnf(c_0_604,plain,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
c_0_405,
[final] ).
cnf(c_0_605,plain,
sum(n0,tptp_minus_1,X1) = tptp_float_0_0,
c_0_406,
[final] ).
cnf(c_0_606,plain,
sum(n0,tptp_minus_1,X1) = n0,
c_0_407,
[final] ).
cnf(c_0_607,plain,
( X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
c_0_408,
[final] ).
cnf(c_0_608,plain,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
c_0_409,
[final] ).
cnf(c_0_609,plain,
( X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
c_0_410,
[final] ).
cnf(c_0_610,plain,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
c_0_411,
[final] ).
cnf(c_0_611,plain,
( gt(X1,X2)
| ~ leq(succ(X2),X1) ),
c_0_412,
[final] ).
cnf(c_0_612,plain,
( leq(X1,X2)
| ~ gt(succ(X2),X1) ),
c_0_413,
[final] ).
cnf(c_0_613,plain,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
c_0_414,
[final] ).
cnf(c_0_614,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
c_0_415,
[final] ).
cnf(c_0_615,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
c_0_416,
[final] ).
cnf(c_0_616,plain,
( gt(succ(X1),X2)
| ~ leq(X2,X1) ),
c_0_417,
[final] ).
cnf(c_0_617,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
c_0_418,
[final] ).
cnf(c_0_618,plain,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
c_0_419,
[final] ).
cnf(c_0_619,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
c_0_420,
[final] ).
cnf(c_0_620,plain,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
c_0_421,
[final] ).
cnf(c_0_621,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
c_0_422,
[final] ).
cnf(c_0_622,plain,
( leq(X1,X2)
| ~ geq(X2,X1) ),
c_0_423,
[final] ).
cnf(c_0_623,plain,
( geq(X1,X2)
| ~ leq(X2,X1) ),
c_0_424,
[final] ).
cnf(c_0_624,plain,
( gt(X1,X2)
| ~ lt(X2,X1) ),
c_0_425,
[final] ).
cnf(c_0_625,plain,
( lt(X1,X2)
| ~ gt(X2,X1) ),
c_0_426,
[final] ).
cnf(c_0_626,plain,
succ(succ(succ(succ(n0)))) = n4,
c_0_427,
[final] ).
cnf(c_0_627,plain,
succ(succ(succ(X1))) = plus(n3,X1),
c_0_428,
[final] ).
cnf(c_0_628,plain,
succ(succ(succ(X1))) = plus(X1,n3),
c_0_429,
[final] ).
cnf(c_0_629,plain,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
c_0_430,
[final] ).
cnf(c_0_630,plain,
succ(succ(X1)) = plus(n2,X1),
c_0_431,
[final] ).
cnf(c_0_631,plain,
succ(succ(X1)) = plus(X1,n2),
c_0_432,
[final] ).
cnf(c_0_632,plain,
~ gt(X1,X1),
c_0_433,
[final] ).
cnf(c_0_633,plain,
gt(succ(X1),X1),
c_0_434,
[final] ).
cnf(c_0_634,plain,
succ(succ(succ(n0))) = n3,
c_0_435,
[final] ).
cnf(c_0_635,plain,
minus(X1,n1) = pred(X1),
c_0_436,
[final] ).
cnf(c_0_636,plain,
plus(n1,X1) = succ(X1),
c_0_437,
[final] ).
cnf(c_0_637,plain,
plus(X1,n1) = succ(X1),
c_0_438,
[final] ).
cnf(c_0_638,plain,
leq(X1,X1),
c_0_439,
[final] ).
cnf(c_0_639,plain,
gt(n999,n3),
c_0_440,
[final] ).
cnf(c_0_640,plain,
gt(n5,n3),
c_0_441,
[final] ).
cnf(c_0_641,plain,
gt(n4,n3),
c_0_442,
[final] ).
cnf(c_0_642,plain,
gt(n3,n2),
c_0_443,
[final] ).
cnf(c_0_643,plain,
gt(n999,n2),
c_0_444,
[final] ).
cnf(c_0_644,plain,
gt(n5,n2),
c_0_445,
[final] ).
cnf(c_0_645,plain,
gt(n4,n2),
c_0_446,
[final] ).
cnf(c_0_646,plain,
gt(n3,n1),
c_0_447,
[final] ).
cnf(c_0_647,plain,
gt(n2,n1),
c_0_448,
[final] ).
cnf(c_0_648,plain,
gt(n999,n1),
c_0_449,
[final] ).
cnf(c_0_649,plain,
gt(n5,n1),
c_0_450,
[final] ).
cnf(c_0_650,plain,
gt(n4,n1),
c_0_451,
[final] ).
cnf(c_0_651,plain,
gt(n3,n0),
c_0_452,
[final] ).
cnf(c_0_652,plain,
gt(n2,n0),
c_0_453,
[final] ).
cnf(c_0_653,plain,
gt(n1,n0),
c_0_454,
[final] ).
cnf(c_0_654,plain,
gt(n999,n0),
c_0_455,
[final] ).
cnf(c_0_655,plain,
gt(n5,n0),
c_0_456,
[final] ).
cnf(c_0_656,plain,
gt(n4,n0),
c_0_457,
[final] ).
cnf(c_0_657,plain,
gt(n3,tptp_minus_1),
c_0_458,
[final] ).
cnf(c_0_658,plain,
gt(n2,tptp_minus_1),
c_0_459,
[final] ).
cnf(c_0_659,plain,
gt(n1,tptp_minus_1),
c_0_460,
[final] ).
cnf(c_0_660,plain,
gt(n0,tptp_minus_1),
c_0_461,
[final] ).
cnf(c_0_661,plain,
gt(n999,tptp_minus_1),
c_0_462,
[final] ).
cnf(c_0_662,plain,
gt(n5,tptp_minus_1),
c_0_463,
[final] ).
cnf(c_0_663,plain,
gt(n4,tptp_minus_1),
c_0_464,
[final] ).
cnf(c_0_664,plain,
gt(n999,n5),
c_0_465,
[final] ).
cnf(c_0_665,plain,
gt(n999,n4),
c_0_466,
[final] ).
cnf(c_0_666,plain,
gt(n5,n4),
c_0_467,
[final] ).
cnf(c_0_667,plain,
succ(pred(X1)) = X1,
c_0_468,
[final] ).
cnf(c_0_668,plain,
pred(succ(X1)) = X1,
c_0_469,
[final] ).
cnf(c_0_669,plain,
succ(succ(n0)) = n2,
c_0_470,
[final] ).
cnf(c_0_670,plain,
succ(n0) = n1,
c_0_471,
[final] ).
cnf(c_0_671,plain,
succ(tptp_minus_1) = n0,
c_0_472,
[final] ).
cnf(c_0_672,plain,
use != def,
c_0_473,
[final] ).
cnf(c_0_673,plain,
true,
c_0_474,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_475_0,axiom,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_1,axiom,
( ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_2,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_3,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_4,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ epred1_3(X6,X9,X1)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_5,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_475_6,axiom,
( a_select3(X4,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_475]) ).
cnf(c_0_476_0,axiom,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_1,axiom,
( leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_2,axiom,
( ~ leq(X8,X9)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_476_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_476]) ).
cnf(c_0_477_0,axiom,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_1,axiom,
( leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_2,axiom,
( ~ leq(X8,X9)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_477_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10),X10)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_477]) ).
cnf(c_0_478_0,axiom,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_1,axiom,
( leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_2,axiom,
( ~ leq(X8,X9)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_478_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk19_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_478]) ).
cnf(c_0_479_0,axiom,
( a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_1,axiom,
( leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X8,X9)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_2,axiom,
( ~ leq(X8,X9)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X8)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ leq(n0,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7)
| ~ epred1_3(X6,X9,X1) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_479_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk1_esk20_8(X1,X2,X3,X4,X5,X6,X9,X10))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X7,X8) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X8,X7) ),
inference(literals_permutation,[status(thm)],[c_0_479]) ).
cnf(c_0_480_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_480_1,axiom,
( ~ leq(X6,X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_480_2,axiom,
( ~ leq(n0,X6)
| ~ leq(X6,X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_480_3,axiom,
( ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X5)
| a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_480_4,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_480_5,axiom,
( a_select3(X1,sk1_esk21_6(X5,X6,X2,X3,X1,X4),sk1_esk22_6(X5,X6,X2,X3,X1,X4)) != X4
| ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_480]) ).
cnf(c_0_481_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_481_1,axiom,
( leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_481_2,axiom,
( ~ leq(X6,X3)
| leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_481_3,axiom,
( ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_481_4,axiom,
( ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_481_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk21_6(X5,X6,X2,X3,X1,X4),X2)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_481]) ).
cnf(c_0_482_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_482_1,axiom,
( leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_482_2,axiom,
( ~ leq(X6,X3)
| leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_482_3,axiom,
( ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_482_4,axiom,
( ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_482_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(sk1_esk22_6(X5,X6,X2,X3,X1,X4),X3)
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_482]) ).
cnf(c_0_483_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_483_1,axiom,
( leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_483_2,axiom,
( ~ leq(X6,X3)
| leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_483_3,axiom,
( ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_483_4,axiom,
( ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_483_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk21_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_483]) ).
cnf(c_0_484_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_484_1,axiom,
( leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X6,X3)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_484_2,axiom,
( ~ leq(X6,X3)
| leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_484_3,axiom,
( ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(X5,X2)
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_484_4,axiom,
( ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4
| ~ leq(n0,X5) ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_484_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X2)
| ~ leq(n0,X6)
| ~ leq(X6,X3)
| leq(n0,sk1_esk22_6(X5,X6,X2,X3,X1,X4))
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_484]) ).
cnf(c_0_485_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_1,axiom,
( ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_2,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_3,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_4,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_5,axiom,
( a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_485_6,axiom,
( a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5))
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_485]) ).
cnf(c_0_486_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_1,axiom,
( ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_2,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_3,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_4,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_5,axiom,
( a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_486_6,axiom,
( a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5))
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_486]) ).
cnf(c_0_487_0,axiom,
( epred1_3(X1,X2,X3)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_487]) ).
cnf(c_0_487_1,axiom,
( a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_487]) ).
cnf(c_0_487_2,axiom,
( a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1))
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_487]) ).
cnf(c_0_488_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_1,axiom,
( ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_2,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_3,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_4,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_5,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_6,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_488_7,axiom,
( a_select3(X1,sk1_esk6_2(X1,X6),sk1_esk5_2(X1,X6)) != a_select3(X1,sk1_esk5_2(X1,X6),sk1_esk6_2(X1,X6))
| ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_488]) ).
cnf(c_0_489_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(sk1_esk5_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_1,axiom,
( leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_2,axiom,
( ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_489_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk5_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_489]) ).
cnf(c_0_490_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(sk1_esk6_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_1,axiom,
( leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_2,axiom,
( ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_490_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk1_esk6_2(X1,X6),X6)
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_490]) ).
cnf(c_0_491_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,sk1_esk5_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_1,axiom,
( leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_2,axiom,
( ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_491_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk5_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_491]) ).
cnf(c_0_492_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,sk1_esk6_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_1,axiom,
( leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_2,axiom,
( ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_492_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk1_esk6_2(X1,X6))
| a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_492]) ).
cnf(c_0_493_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_493_1,axiom,
( ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_493_2,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_493_3,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_493_4,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_493_5,axiom,
( a_select3(X2,sk1_esk18_3(X1,X2,X6),sk1_esk17_3(X1,X2,X6)) != a_select3(X2,sk1_esk17_3(X1,X2,X6),sk1_esk18_3(X1,X2,X6))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_493]) ).
cnf(c_0_494_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_494_1,axiom,
( ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_494_2,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_494_3,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_494_4,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_494_5,axiom,
( a_select3(X2,sk1_esk16_3(X1,X2,X5),sk1_esk15_3(X1,X2,X5)) != a_select3(X2,sk1_esk15_3(X1,X2,X5),sk1_esk16_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_494]) ).
cnf(c_0_495_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_1,axiom,
( leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_495_6,axiom,
( a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_495]) ).
cnf(c_0_496_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_1,axiom,
( leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_496_6,axiom,
( a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_496]) ).
cnf(c_0_497_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_1,axiom,
( leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_497_6,axiom,
( a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_497]) ).
cnf(c_0_498_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_1,axiom,
( leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_498_6,axiom,
( a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_498]) ).
cnf(c_0_499_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_1,axiom,
( leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_499_6,axiom,
( a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_499]) ).
cnf(c_0_500_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_1,axiom,
( leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_500_6,axiom,
( a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_500]) ).
cnf(c_0_501_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_1,axiom,
( leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_501_6,axiom,
( a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_501]) ).
cnf(c_0_502_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_1,axiom,
( leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_502_6,axiom,
( a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_502]) ).
cnf(c_0_503_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_1,axiom,
( leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_503_6,axiom,
( a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_503]) ).
cnf(c_0_504_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_1,axiom,
( leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_504_6,axiom,
( a_select3(X2,sk1_esk14_3(X1,X2,X5),sk1_esk13_3(X1,X2,X5)) != a_select3(X2,sk1_esk13_3(X1,X2,X5),sk1_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_504]) ).
cnf(c_0_505_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_1,axiom,
( leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_505_6,axiom,
( a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_505]) ).
cnf(c_0_506_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_1,axiom,
( leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_506_6,axiom,
( a_select3(X1,sk1_esk12_3(X1,X2,X5),sk1_esk11_3(X1,X2,X5)) != a_select3(X1,sk1_esk11_3(X1,X2,X5),sk1_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_506]) ).
cnf(c_0_507_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_1,axiom,
( leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_507_6,axiom,
( a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_507]) ).
cnf(c_0_508_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_1,axiom,
( leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_508_6,axiom,
( a_select3(X2,sk1_esk10_3(X1,X2,X5),sk1_esk9_3(X1,X2,X5)) != a_select3(X2,sk1_esk9_3(X1,X2,X5),sk1_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_508]) ).
cnf(c_0_509_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_1,axiom,
( leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_509_6,axiom,
( a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_509]) ).
cnf(c_0_510_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_1,axiom,
( leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_510_6,axiom,
( a_select3(X1,sk1_esk8_3(X1,X2,X5),sk1_esk7_3(X1,X2,X5)) != a_select3(X1,sk1_esk7_3(X1,X2,X5),sk1_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_510]) ).
cnf(c_0_511_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_511]) ).
cnf(c_0_511_1,axiom,
( leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_511]) ).
cnf(c_0_511_2,axiom,
( a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1))
| leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_511]) ).
cnf(c_0_512_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_512]) ).
cnf(c_0_512_1,axiom,
( leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_512]) ).
cnf(c_0_512_2,axiom,
( a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1))
| leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_512]) ).
cnf(c_0_513_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk26_3(X3,X2,X1),X2)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_513]) ).
cnf(c_0_513_1,axiom,
( leq(sk1_esk26_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_513]) ).
cnf(c_0_513_2,axiom,
( a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| leq(sk1_esk26_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_513]) ).
cnf(c_0_514_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk27_3(X3,X2,X1),X2)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_514]) ).
cnf(c_0_514_1,axiom,
( leq(sk1_esk27_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_514]) ).
cnf(c_0_514_2,axiom,
( a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| leq(sk1_esk27_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_514]) ).
cnf(c_0_515_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_515]) ).
cnf(c_0_515_1,axiom,
( leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_515]) ).
cnf(c_0_515_2,axiom,
( a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1))
| leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_515]) ).
cnf(c_0_516_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_516]) ).
cnf(c_0_516_1,axiom,
( leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_516]) ).
cnf(c_0_516_2,axiom,
( a_select3(X1,sk1_esk27_3(X3,X2,X1),sk1_esk26_3(X3,X2,X1)) != a_select3(X1,sk1_esk26_3(X3,X2,X1),sk1_esk27_3(X3,X2,X1))
| leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_516]) ).
cnf(c_0_517_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk26_3(X3,X2,X1))
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_517]) ).
cnf(c_0_517_1,axiom,
( leq(n0,sk1_esk26_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_517]) ).
cnf(c_0_517_2,axiom,
( a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| leq(n0,sk1_esk26_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_517]) ).
cnf(c_0_518_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk27_3(X3,X2,X1))
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_518]) ).
cnf(c_0_518_1,axiom,
( leq(n0,sk1_esk27_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_518]) ).
cnf(c_0_518_2,axiom,
( a_select3(X3,sk1_esk25_3(X3,X2,X1),sk1_esk24_3(X3,X2,X1)) != a_select3(X3,sk1_esk24_3(X3,X2,X1),sk1_esk25_3(X3,X2,X1))
| leq(n0,sk1_esk27_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_518]) ).
cnf(c_0_519_0,axiom,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| a_select2(X1,sk1_esk23_4(X4,X2,X1,X3)) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_519]) ).
cnf(c_0_519_1,axiom,
( ~ leq(X4,X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(n0,X4)
| a_select2(X1,sk1_esk23_4(X4,X2,X1,X3)) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_519]) ).
cnf(c_0_519_2,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| a_select2(X1,sk1_esk23_4(X4,X2,X1,X3)) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_519]) ).
cnf(c_0_519_3,axiom,
( a_select2(X1,sk1_esk23_4(X4,X2,X1,X3)) != X3
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_519]) ).
cnf(c_0_520_0,axiom,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(sk1_esk23_4(X4,X2,X1,X3),X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_520]) ).
cnf(c_0_520_1,axiom,
( leq(sk1_esk23_4(X4,X2,X1,X3),X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_520]) ).
cnf(c_0_520_2,axiom,
( ~ leq(X4,X2)
| leq(sk1_esk23_4(X4,X2,X1,X3),X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_520]) ).
cnf(c_0_520_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X2)
| leq(sk1_esk23_4(X4,X2,X1,X3),X2)
| a_select2(tptp_update2(X1,X2,X3),X4) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_520]) ).
cnf(c_0_521_0,axiom,
( a_select2(tptp_update2(X1,X2,X3),X4) = X3
| leq(n0,sk1_esk23_4(X4,X2,X1,X3))
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_521]) ).
cnf(c_0_521_1,axiom,
( leq(n0,sk1_esk23_4(X4,X2,X1,X3))
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_521]) ).
cnf(c_0_521_2,axiom,
( ~ leq(X4,X2)
| leq(n0,sk1_esk23_4(X4,X2,X1,X3))
| a_select2(tptp_update2(X1,X2,X3),X4) = X3
| ~ leq(n0,X4) ),
inference(literals_permutation,[status(thm)],[c_0_521]) ).
cnf(c_0_521_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X2)
| leq(n0,sk1_esk23_4(X4,X2,X1,X3))
| a_select2(tptp_update2(X1,X2,X3),X4) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_521]) ).
cnf(c_0_522_0,axiom,
( a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7
| X2 = X5
| a_select3(X1,X5,X6) != X7
| X3 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_522]) ).
cnf(c_0_522_1,axiom,
( X2 = X5
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7
| a_select3(X1,X5,X6) != X7
| X3 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_522]) ).
cnf(c_0_522_2,axiom,
( a_select3(X1,X5,X6) != X7
| X2 = X5
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7
| X3 != X6 ),
inference(literals_permutation,[status(thm)],[c_0_522]) ).
cnf(c_0_522_3,axiom,
( X3 != X6
| a_select3(X1,X5,X6) != X7
| X2 = X5
| a_select3(tptp_update3(X1,X2,X3,X4),X5,X6) = X7 ),
inference(literals_permutation,[status(thm)],[c_0_522]) ).
cnf(c_0_524_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_524_1,axiom,
( ~ leq(X3,X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_524_2,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_524_3,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_524_4,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_524_5,axiom,
( a_select3(X1,sk1_esk4_2(X1,X4),sk1_esk3_2(X1,X4)) != a_select3(X1,sk1_esk3_2(X1,X4),sk1_esk4_2(X1,X4))
| ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_524]) ).
cnf(c_0_525_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_525_1,axiom,
( ~ leq(X3,X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_525_2,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_525_3,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X2)
| a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_525_4,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_525_5,axiom,
( a_select3(X1,sk1_esk2_2(X1,X4),sk1_esk1_2(X1,X4)) != a_select3(X1,sk1_esk1_2(X1,X4),sk1_esk2_2(X1,X4))
| ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_525]) ).
cnf(c_0_526_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(sk1_esk17_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_526_1,axiom,
( leq(sk1_esk17_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_526_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk17_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_526_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk17_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_526_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk17_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_526_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk17_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_526]) ).
cnf(c_0_527_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(sk1_esk18_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_527_1,axiom,
( leq(sk1_esk18_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_527_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk18_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_527_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk18_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_527_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk18_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_527_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk18_3(X1,X2,X6),X6)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_527]) ).
cnf(c_0_528_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(sk1_esk15_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_528_1,axiom,
( leq(sk1_esk15_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_528_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk15_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_528_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk15_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_528_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk15_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_528_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk15_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_528]) ).
cnf(c_0_529_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(sk1_esk16_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_529_1,axiom,
( leq(sk1_esk16_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_529_2,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk16_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_529_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk16_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_529_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk16_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_529_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk16_3(X1,X2,X5),X5)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_529]) ).
cnf(c_0_530_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,sk1_esk17_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_530_1,axiom,
( leq(n0,sk1_esk17_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_530_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk17_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_530_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk17_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_530_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk17_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_530_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk17_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_530]) ).
cnf(c_0_531_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,sk1_esk18_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_531_1,axiom,
( leq(n0,sk1_esk18_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_531_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk18_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_531_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk18_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_531_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk18_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_531_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk18_3(X1,X2,X6))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_531]) ).
cnf(c_0_532_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,sk1_esk15_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_532_1,axiom,
( leq(n0,sk1_esk15_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_532_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk15_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_532_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk15_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_532_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk15_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_532_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk15_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_532]) ).
cnf(c_0_533_0,axiom,
( a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| leq(n0,sk1_esk16_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_533_1,axiom,
( leq(n0,sk1_esk16_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_533_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk16_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_533_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk16_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_533_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk16_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_533_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk16_3(X1,X2,X5))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X3,X4) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_533]) ).
cnf(c_0_534_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_1,axiom,
( leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_2,axiom,
( leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_534_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_534]) ).
cnf(c_0_535_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_1,axiom,
( leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_2,axiom,
( leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_535_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_535]) ).
cnf(c_0_536_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_1,axiom,
( leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_2,axiom,
( leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_536_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_536]) ).
cnf(c_0_537_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_1,axiom,
( leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_2,axiom,
( leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_537_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_537]) ).
cnf(c_0_538_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_1,axiom,
( leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_2,axiom,
( leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_538_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_538]) ).
cnf(c_0_539_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_1,axiom,
( leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_2,axiom,
( leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_539_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_539]) ).
cnf(c_0_540_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_1,axiom,
( leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_2,axiom,
( leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_540_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_540]) ).
cnf(c_0_541_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_1,axiom,
( leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_2,axiom,
( leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_541_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_541]) ).
cnf(c_0_542_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_1,axiom,
( leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_2,axiom,
( leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_542_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_542]) ).
cnf(c_0_543_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_1,axiom,
( leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_2,axiom,
( leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_543_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_543]) ).
cnf(c_0_544_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_1,axiom,
( leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_2,axiom,
( leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_544_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_544]) ).
cnf(c_0_545_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk11_3(X1,X2,X5),X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_1,axiom,
( leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_2,axiom,
( leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_545_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_545]) ).
cnf(c_0_546_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_1,axiom,
( leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_2,axiom,
( leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_546_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk13_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_546]) ).
cnf(c_0_547_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_1,axiom,
( leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_2,axiom,
( leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_547_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk14_3(X1,X2,X5),X5)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_547]) ).
cnf(c_0_548_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_1,axiom,
( leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_2,axiom,
( leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_548_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_548]) ).
cnf(c_0_549_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk1_esk12_3(X1,X2,X5),X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_1,axiom,
( leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_2,axiom,
( leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_549_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(sk1_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_549]) ).
cnf(c_0_550_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_1,axiom,
( leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_2,axiom,
( leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_550_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_550]) ).
cnf(c_0_551_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_1,axiom,
( leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_2,axiom,
( leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_551_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_551]) ).
cnf(c_0_552_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_1,axiom,
( leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_2,axiom,
( leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_552_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_552]) ).
cnf(c_0_553_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk7_3(X1,X2,X5),X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_1,axiom,
( leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_2,axiom,
( leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_553_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_553]) ).
cnf(c_0_554_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_1,axiom,
( leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_2,axiom,
( leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_554_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk9_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_554]) ).
cnf(c_0_555_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_1,axiom,
( leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_2,axiom,
( leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_3,axiom,
( ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_555_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk1_esk10_3(X1,X2,X5),X5)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_555]) ).
cnf(c_0_556_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_1,axiom,
( leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_2,axiom,
( leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_556_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_556]) ).
cnf(c_0_557_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk1_esk8_3(X1,X2,X5),X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_1,axiom,
( leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_2,axiom,
( leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_557_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(sk1_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_557]) ).
cnf(c_0_558_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_1,axiom,
( leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_2,axiom,
( leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_558_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_558]) ).
cnf(c_0_559_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk11_3(X1,X2,X5))
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_1,axiom,
( leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_2,axiom,
( leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_559_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk11_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_559]) ).
cnf(c_0_560_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_1,axiom,
( leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_2,axiom,
( leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_560_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk13_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_560]) ).
cnf(c_0_561_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk12_3(X1,X2,X5))
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_1,axiom,
( leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_2,axiom,
( leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_561_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk14_3(X1,X2,X5))
| leq(n0,sk1_esk12_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_561]) ).
cnf(c_0_562_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_1,axiom,
( leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_2,axiom,
( leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_562_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_562]) ).
cnf(c_0_563_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk7_3(X1,X2,X5))
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_1,axiom,
( leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_2,axiom,
( leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_563_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk7_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_563]) ).
cnf(c_0_564_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_1,axiom,
( leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_2,axiom,
( leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_564_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk9_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_564]) ).
cnf(c_0_565_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk8_3(X1,X2,X5))
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_1,axiom,
( leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_2,axiom,
( leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_565_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk1_esk10_3(X1,X2,X5))
| leq(n0,sk1_esk8_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_565]) ).
cnf(c_0_566_0,axiom,
( a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X7,X4)
| ~ leq(X3,X7)
| ~ leq(X6,X2)
| ~ leq(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_566]) ).
cnf(c_0_566_1,axiom,
( ~ leq(X7,X4)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X3,X7)
| ~ leq(X6,X2)
| ~ leq(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_566]) ).
cnf(c_0_566_2,axiom,
( ~ leq(X3,X7)
| ~ leq(X7,X4)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X6,X2)
| ~ leq(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_566]) ).
cnf(c_0_566_3,axiom,
( ~ leq(X6,X2)
| ~ leq(X3,X7)
| ~ leq(X7,X4)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
| ~ leq(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_566]) ).
cnf(c_0_566_4,axiom,
( ~ leq(X1,X6)
| ~ leq(X6,X2)
| ~ leq(X3,X7)
| ~ leq(X7,X4)
| a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_566]) ).
cnf(c_0_567_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_567]) ).
cnf(c_0_567_1,axiom,
( leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_567]) ).
cnf(c_0_567_2,axiom,
( leq(sk1_esk26_3(X3,X2,X1),X2)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_567]) ).
cnf(c_0_568_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_568]) ).
cnf(c_0_568_1,axiom,
( leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_568]) ).
cnf(c_0_568_2,axiom,
( leq(sk1_esk27_3(X3,X2,X1),X2)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_568]) ).
cnf(c_0_569_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_569]) ).
cnf(c_0_569_1,axiom,
( leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_569]) ).
cnf(c_0_569_2,axiom,
( leq(sk1_esk26_3(X3,X2,X1),X2)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_569]) ).
cnf(c_0_570_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_570]) ).
cnf(c_0_570_1,axiom,
( leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_570]) ).
cnf(c_0_570_2,axiom,
( leq(sk1_esk27_3(X3,X2,X1),X2)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_570]) ).
cnf(c_0_571_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_571]) ).
cnf(c_0_571_1,axiom,
( leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_571]) ).
cnf(c_0_571_2,axiom,
( leq(sk1_esk26_3(X3,X2,X1),X2)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_571]) ).
cnf(c_0_572_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_572]) ).
cnf(c_0_572_1,axiom,
( leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_572]) ).
cnf(c_0_572_2,axiom,
( leq(sk1_esk27_3(X3,X2,X1),X2)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_572]) ).
cnf(c_0_573_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_573]) ).
cnf(c_0_573_1,axiom,
( leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_573]) ).
cnf(c_0_573_2,axiom,
( leq(n0,sk1_esk26_3(X3,X2,X1))
| leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_573]) ).
cnf(c_0_574_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk24_3(X3,X2,X1),X2)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_574]) ).
cnf(c_0_574_1,axiom,
( leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_574]) ).
cnf(c_0_574_2,axiom,
( leq(n0,sk1_esk27_3(X3,X2,X1))
| leq(sk1_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_574]) ).
cnf(c_0_575_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_575]) ).
cnf(c_0_575_1,axiom,
( leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk1_esk26_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_575]) ).
cnf(c_0_575_2,axiom,
( leq(sk1_esk26_3(X3,X2,X1),X2)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_575]) ).
cnf(c_0_576_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_576]) ).
cnf(c_0_576_1,axiom,
( leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk1_esk27_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_576]) ).
cnf(c_0_576_2,axiom,
( leq(sk1_esk27_3(X3,X2,X1),X2)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_576]) ).
cnf(c_0_577_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_577]) ).
cnf(c_0_577_1,axiom,
( leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_577]) ).
cnf(c_0_577_2,axiom,
( leq(n0,sk1_esk26_3(X3,X2,X1))
| leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_577]) ).
cnf(c_0_578_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk1_esk25_3(X3,X2,X1),X2)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_578]) ).
cnf(c_0_578_1,axiom,
( leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_578]) ).
cnf(c_0_578_2,axiom,
( leq(n0,sk1_esk27_3(X3,X2,X1))
| leq(sk1_esk25_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_578]) ).
cnf(c_0_579_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_579]) ).
cnf(c_0_579_1,axiom,
( leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_579]) ).
cnf(c_0_579_2,axiom,
( leq(n0,sk1_esk26_3(X3,X2,X1))
| leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_579]) ).
cnf(c_0_580_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk24_3(X3,X2,X1))
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_580]) ).
cnf(c_0_580_1,axiom,
( leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_580]) ).
cnf(c_0_580_2,axiom,
( leq(n0,sk1_esk27_3(X3,X2,X1))
| leq(n0,sk1_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_580]) ).
cnf(c_0_581_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_581]) ).
cnf(c_0_581_1,axiom,
( leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk26_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_581]) ).
cnf(c_0_581_2,axiom,
( leq(n0,sk1_esk26_3(X3,X2,X1))
| leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_581]) ).
cnf(c_0_582_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk1_esk25_3(X3,X2,X1))
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_582]) ).
cnf(c_0_582_1,axiom,
( leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk1_esk27_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_582]) ).
cnf(c_0_582_2,axiom,
( leq(n0,sk1_esk27_3(X3,X2,X1))
| leq(n0,sk1_esk25_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_582]) ).
cnf(c_0_583_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(sk1_esk3_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_583_1,axiom,
( leq(sk1_esk3_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_583_2,axiom,
( ~ leq(X3,X4)
| leq(sk1_esk3_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_583_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk3_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_583_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk3_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_583_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk3_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_583]) ).
cnf(c_0_584_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(sk1_esk4_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_584_1,axiom,
( leq(sk1_esk4_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_584_2,axiom,
( ~ leq(X3,X4)
| leq(sk1_esk4_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_584_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk4_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_584_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk4_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_584_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk4_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_584]) ).
cnf(c_0_585_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(sk1_esk1_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_585_1,axiom,
( leq(sk1_esk1_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_585_2,axiom,
( ~ leq(X3,X4)
| leq(sk1_esk1_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_585_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk1_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_585_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk1_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_585_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk1_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_585]) ).
cnf(c_0_586_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(sk1_esk2_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_586_1,axiom,
( leq(sk1_esk2_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_586_2,axiom,
( ~ leq(X3,X4)
| leq(sk1_esk2_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_586_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk2_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_586_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk2_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_586_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk1_esk2_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_586]) ).
cnf(c_0_587_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,sk1_esk3_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_587_1,axiom,
( leq(n0,sk1_esk3_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_587_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk1_esk3_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_587_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk3_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_587_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk3_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_587_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk3_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_587]) ).
cnf(c_0_588_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,sk1_esk4_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_588_1,axiom,
( leq(n0,sk1_esk4_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_588_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk1_esk4_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_588_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk4_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_588_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk4_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_588_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk4_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_588]) ).
cnf(c_0_589_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,sk1_esk1_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_589_1,axiom,
( leq(n0,sk1_esk1_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_589_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk1_esk1_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_589_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk1_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_589_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk1_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_589_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk1_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_589]) ).
cnf(c_0_590_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,sk1_esk2_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_590_1,axiom,
( leq(n0,sk1_esk2_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_590_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk1_esk2_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_590_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk2_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_590_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk2_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_590_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk1_esk2_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_590]) ).
cnf(c_0_591_0,axiom,
( a_select2(tptp_update2(X1,X2,X3),X4) = X5
| X2 = X4
| a_select2(X1,X4) != X5 ),
inference(literals_permutation,[status(thm)],[c_0_591]) ).
cnf(c_0_591_1,axiom,
( X2 = X4
| a_select2(tptp_update2(X1,X2,X3),X4) = X5
| a_select2(X1,X4) != X5 ),
inference(literals_permutation,[status(thm)],[c_0_591]) ).
cnf(c_0_591_2,axiom,
( a_select2(X1,X4) != X5
| X2 = X4
| a_select2(tptp_update2(X1,X2,X3),X4) = X5 ),
inference(literals_permutation,[status(thm)],[c_0_591]) ).
cnf(c_0_592_0,axiom,
( a_select2(tptp_const_array1(dim(X1,X2),X3),X4) = X3
| ~ leq(X4,X2)
| ~ leq(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_592]) ).
cnf(c_0_592_1,axiom,
( ~ leq(X4,X2)
| a_select2(tptp_const_array1(dim(X1,X2),X3),X4) = X3
| ~ leq(X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_592]) ).
cnf(c_0_592_2,axiom,
( ~ leq(X1,X4)
| ~ leq(X4,X2)
| a_select2(tptp_const_array1(dim(X1,X2),X3),X4) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_592]) ).
cnf(c_0_596_0,axiom,
( leq(n0,X1)
| ~ leq(minus(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_596]) ).
cnf(c_0_596_1,axiom,
( ~ leq(minus(X2,X1),X2)
| leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_596]) ).
cnf(c_0_598_0,axiom,
( leq(uniform_int_rnd(X1,X2),X2)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_598]) ).
cnf(c_0_598_1,axiom,
( ~ leq(n0,X2)
| leq(uniform_int_rnd(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_598]) ).
cnf(c_0_599_0,axiom,
( leq(X1,X2)
| ~ leq(X3,X2)
| ~ leq(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_599]) ).
cnf(c_0_599_1,axiom,
( ~ leq(X3,X2)
| leq(X1,X2)
| ~ leq(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_599]) ).
cnf(c_0_599_2,axiom,
( ~ leq(X1,X3)
| ~ leq(X3,X2)
| leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_599]) ).
cnf(c_0_600_0,axiom,
( gt(X1,X2)
| ~ gt(X3,X2)
| ~ gt(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_600]) ).
cnf(c_0_600_1,axiom,
( ~ gt(X3,X2)
| gt(X1,X2)
| ~ gt(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_600]) ).
cnf(c_0_600_2,axiom,
( ~ gt(X1,X3)
| ~ gt(X3,X2)
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_600]) ).
cnf(c_0_603_0,axiom,
( leq(n0,uniform_int_rnd(X1,X2))
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_603]) ).
cnf(c_0_603_1,axiom,
( ~ leq(n0,X2)
| leq(n0,uniform_int_rnd(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_603]) ).
cnf(c_0_604_0,axiom,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_604]) ).
cnf(c_0_604_1,axiom,
( ~ leq(succ(X1),succ(X2))
| leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_604]) ).
cnf(c_0_607_0,axiom,
( X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_1,axiom,
( X1 = n4
| X1 = n5
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_2,axiom,
( X1 = n3
| X1 = n4
| X1 = n5
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_3,axiom,
( X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_4,axiom,
( X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_5,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_6,axiom,
( ~ leq(X1,n5)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_607_7,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n5)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ),
inference(literals_permutation,[status(thm)],[c_0_607]) ).
cnf(c_0_608_0,axiom,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_608]) ).
cnf(c_0_608_1,axiom,
( ~ leq(X1,X2)
| leq(succ(X1),succ(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_608]) ).
cnf(c_0_609_0,axiom,
( X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_1,axiom,
( X1 = n3
| X1 = n4
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_2,axiom,
( X1 = n2
| X1 = n3
| X1 = n4
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_3,axiom,
( X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_4,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_5,axiom,
( ~ leq(X1,n4)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_609_6,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n4)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ),
inference(literals_permutation,[status(thm)],[c_0_609]) ).
cnf(c_0_610_0,axiom,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_610_1,axiom,
( X1 = n2
| X1 = n3
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_610_2,axiom,
( X1 = n1
| X1 = n2
| X1 = n3
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_610_3,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_610_4,axiom,
( ~ leq(X1,n3)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_610_5,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ),
inference(literals_permutation,[status(thm)],[c_0_610]) ).
cnf(c_0_611_0,axiom,
( gt(X1,X2)
| ~ leq(succ(X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_611]) ).
cnf(c_0_611_1,axiom,
( ~ leq(succ(X2),X1)
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_611]) ).
cnf(c_0_612_0,axiom,
( leq(X1,X2)
| ~ gt(succ(X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_612]) ).
cnf(c_0_612_1,axiom,
( ~ gt(succ(X2),X1)
| leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_612]) ).
cnf(c_0_613_0,axiom,
( gt(X1,X2)
| ~ leq(X2,pred(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_613]) ).
cnf(c_0_613_1,axiom,
( ~ leq(X2,pred(X1))
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_613]) ).
cnf(c_0_614_0,axiom,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_614]) ).
cnf(c_0_614_1,axiom,
( X1 = n1
| X1 = n2
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_614]) ).
cnf(c_0_614_2,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_614]) ).
cnf(c_0_614_3,axiom,
( ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_614]) ).
cnf(c_0_614_4,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(literals_permutation,[status(thm)],[c_0_614]) ).
cnf(c_0_615_0,axiom,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_615]) ).
cnf(c_0_615_1,axiom,
( X1 = n0
| X1 = n1
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_615]) ).
cnf(c_0_615_2,axiom,
( ~ leq(X1,n1)
| X1 = n0
| X1 = n1
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_615]) ).
cnf(c_0_615_3,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n1)
| X1 = n0
| X1 = n1 ),
inference(literals_permutation,[status(thm)],[c_0_615]) ).
cnf(c_0_616_0,axiom,
( gt(succ(X1),X2)
| ~ leq(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_616]) ).
cnf(c_0_616_1,axiom,
( ~ leq(X2,X1)
| gt(succ(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_616]) ).
cnf(c_0_617_0,axiom,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_617]) ).
cnf(c_0_617_1,axiom,
( ~ leq(X1,X2)
| leq(X1,succ(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_617]) ).
cnf(c_0_618_0,axiom,
( leq(X1,pred(X2))
| ~ gt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_618]) ).
cnf(c_0_618_1,axiom,
( ~ gt(X2,X1)
| leq(X1,pred(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_618]) ).
cnf(c_0_619_0,axiom,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_619]) ).
cnf(c_0_619_1,axiom,
( ~ leq(X1,n0)
| X1 = n0
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_619]) ).
cnf(c_0_619_2,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n0)
| X1 = n0 ),
inference(literals_permutation,[status(thm)],[c_0_619]) ).
cnf(c_0_620_0,axiom,
( gt(X1,X2)
| X2 = X1
| ~ leq(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_620]) ).
cnf(c_0_620_1,axiom,
( X2 = X1
| gt(X1,X2)
| ~ leq(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_620]) ).
cnf(c_0_620_2,axiom,
( ~ leq(X2,X1)
| X2 = X1
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_620]) ).
cnf(c_0_621_0,axiom,
( leq(X1,X2)
| ~ gt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_621]) ).
cnf(c_0_621_1,axiom,
( ~ gt(X2,X1)
| leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_621]) ).
cnf(c_0_622_0,axiom,
( leq(X1,X2)
| ~ geq(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_622]) ).
cnf(c_0_622_1,axiom,
( ~ geq(X2,X1)
| leq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_622]) ).
cnf(c_0_623_0,axiom,
( geq(X1,X2)
| ~ leq(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_623]) ).
cnf(c_0_623_1,axiom,
( ~ leq(X2,X1)
| geq(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_623]) ).
cnf(c_0_624_0,axiom,
( gt(X1,X2)
| ~ lt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_624]) ).
cnf(c_0_624_1,axiom,
( ~ lt(X2,X1)
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_624]) ).
cnf(c_0_625_0,axiom,
( lt(X1,X2)
| ~ gt(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_625]) ).
cnf(c_0_625_1,axiom,
( ~ gt(X2,X1)
| lt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_625]) ).
cnf(c_0_629_0,axiom,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_629]) ).
cnf(c_0_629_1,axiom,
( gt(X2,X1)
| X1 = X2
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_629]) ).
cnf(c_0_629_2,axiom,
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_629]) ).
cnf(c_0_632_0,axiom,
~ gt(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_632]) ).
cnf(c_0_672_0,axiom,
use != def,
inference(literals_permutation,[status(thm)],[c_0_672]) ).
cnf(c_0_523_0,axiom,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(literals_permutation,[status(thm)],[c_0_523]) ).
cnf(c_0_593_0,axiom,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(literals_permutation,[status(thm)],[c_0_593]) ).
cnf(c_0_594_0,axiom,
succ(succ(succ(succ(succ(X1))))) = plus(n5,X1),
inference(literals_permutation,[status(thm)],[c_0_594]) ).
cnf(c_0_595_0,axiom,
succ(succ(succ(succ(succ(X1))))) = plus(X1,n5),
inference(literals_permutation,[status(thm)],[c_0_595]) ).
cnf(c_0_597_0,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(literals_permutation,[status(thm)],[c_0_597]) ).
cnf(c_0_601_0,axiom,
succ(succ(succ(succ(X1)))) = plus(n4,X1),
inference(literals_permutation,[status(thm)],[c_0_601]) ).
cnf(c_0_602_0,axiom,
succ(succ(succ(succ(X1)))) = plus(X1,n4),
inference(literals_permutation,[status(thm)],[c_0_602]) ).
cnf(c_0_605_0,axiom,
sum(n0,tptp_minus_1,X1) = tptp_float_0_0,
inference(literals_permutation,[status(thm)],[c_0_605]) ).
cnf(c_0_606_0,axiom,
sum(n0,tptp_minus_1,X1) = n0,
inference(literals_permutation,[status(thm)],[c_0_606]) ).
cnf(c_0_626_0,axiom,
succ(succ(succ(succ(n0)))) = n4,
inference(literals_permutation,[status(thm)],[c_0_626]) ).
cnf(c_0_627_0,axiom,
succ(succ(succ(X1))) = plus(n3,X1),
inference(literals_permutation,[status(thm)],[c_0_627]) ).
cnf(c_0_628_0,axiom,
succ(succ(succ(X1))) = plus(X1,n3),
inference(literals_permutation,[status(thm)],[c_0_628]) ).
cnf(c_0_630_0,axiom,
succ(succ(X1)) = plus(n2,X1),
inference(literals_permutation,[status(thm)],[c_0_630]) ).
cnf(c_0_631_0,axiom,
succ(succ(X1)) = plus(X1,n2),
inference(literals_permutation,[status(thm)],[c_0_631]) ).
cnf(c_0_633_0,axiom,
gt(succ(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_633]) ).
cnf(c_0_634_0,axiom,
succ(succ(succ(n0))) = n3,
inference(literals_permutation,[status(thm)],[c_0_634]) ).
cnf(c_0_635_0,axiom,
minus(X1,n1) = pred(X1),
inference(literals_permutation,[status(thm)],[c_0_635]) ).
cnf(c_0_636_0,axiom,
plus(n1,X1) = succ(X1),
inference(literals_permutation,[status(thm)],[c_0_636]) ).
cnf(c_0_637_0,axiom,
plus(X1,n1) = succ(X1),
inference(literals_permutation,[status(thm)],[c_0_637]) ).
cnf(c_0_638_0,axiom,
leq(X1,X1),
inference(literals_permutation,[status(thm)],[c_0_638]) ).
cnf(c_0_639_0,axiom,
gt(n999,n3),
inference(literals_permutation,[status(thm)],[c_0_639]) ).
cnf(c_0_640_0,axiom,
gt(n5,n3),
inference(literals_permutation,[status(thm)],[c_0_640]) ).
cnf(c_0_641_0,axiom,
gt(n4,n3),
inference(literals_permutation,[status(thm)],[c_0_641]) ).
cnf(c_0_642_0,axiom,
gt(n3,n2),
inference(literals_permutation,[status(thm)],[c_0_642]) ).
cnf(c_0_643_0,axiom,
gt(n999,n2),
inference(literals_permutation,[status(thm)],[c_0_643]) ).
cnf(c_0_644_0,axiom,
gt(n5,n2),
inference(literals_permutation,[status(thm)],[c_0_644]) ).
cnf(c_0_645_0,axiom,
gt(n4,n2),
inference(literals_permutation,[status(thm)],[c_0_645]) ).
cnf(c_0_646_0,axiom,
gt(n3,n1),
inference(literals_permutation,[status(thm)],[c_0_646]) ).
cnf(c_0_647_0,axiom,
gt(n2,n1),
inference(literals_permutation,[status(thm)],[c_0_647]) ).
cnf(c_0_648_0,axiom,
gt(n999,n1),
inference(literals_permutation,[status(thm)],[c_0_648]) ).
cnf(c_0_649_0,axiom,
gt(n5,n1),
inference(literals_permutation,[status(thm)],[c_0_649]) ).
cnf(c_0_650_0,axiom,
gt(n4,n1),
inference(literals_permutation,[status(thm)],[c_0_650]) ).
cnf(c_0_651_0,axiom,
gt(n3,n0),
inference(literals_permutation,[status(thm)],[c_0_651]) ).
cnf(c_0_652_0,axiom,
gt(n2,n0),
inference(literals_permutation,[status(thm)],[c_0_652]) ).
cnf(c_0_653_0,axiom,
gt(n1,n0),
inference(literals_permutation,[status(thm)],[c_0_653]) ).
cnf(c_0_654_0,axiom,
gt(n999,n0),
inference(literals_permutation,[status(thm)],[c_0_654]) ).
cnf(c_0_655_0,axiom,
gt(n5,n0),
inference(literals_permutation,[status(thm)],[c_0_655]) ).
cnf(c_0_656_0,axiom,
gt(n4,n0),
inference(literals_permutation,[status(thm)],[c_0_656]) ).
cnf(c_0_657_0,axiom,
gt(n3,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_657]) ).
cnf(c_0_658_0,axiom,
gt(n2,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_658]) ).
cnf(c_0_659_0,axiom,
gt(n1,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_659]) ).
cnf(c_0_660_0,axiom,
gt(n0,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_660]) ).
cnf(c_0_661_0,axiom,
gt(n999,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_661]) ).
cnf(c_0_662_0,axiom,
gt(n5,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_662]) ).
cnf(c_0_663_0,axiom,
gt(n4,tptp_minus_1),
inference(literals_permutation,[status(thm)],[c_0_663]) ).
cnf(c_0_664_0,axiom,
gt(n999,n5),
inference(literals_permutation,[status(thm)],[c_0_664]) ).
cnf(c_0_665_0,axiom,
gt(n999,n4),
inference(literals_permutation,[status(thm)],[c_0_665]) ).
cnf(c_0_666_0,axiom,
gt(n5,n4),
inference(literals_permutation,[status(thm)],[c_0_666]) ).
cnf(c_0_667_0,axiom,
succ(pred(X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_667]) ).
cnf(c_0_668_0,axiom,
pred(succ(X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_668]) ).
cnf(c_0_669_0,axiom,
succ(succ(n0)) = n2,
inference(literals_permutation,[status(thm)],[c_0_669]) ).
cnf(c_0_670_0,axiom,
succ(n0) = n1,
inference(literals_permutation,[status(thm)],[c_0_670]) ).
cnf(c_0_671_0,axiom,
succ(tptp_minus_1) = n0,
inference(literals_permutation,[status(thm)],[c_0_671]) ).
cnf(c_0_673_0,axiom,
true,
inference(literals_permutation,[status(thm)],[c_0_673]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,pv5) )
=> ( a_select3(u_defuse,X1,X2) = use
& a_select3(z_defuse,X1,X2) = use ) )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n2)
& leq(X4,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X3,X4) = use
& a_select3(z_defuse,X3,X4) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n2)
& leq(X6,pv5) )
=> ( a_select3(u_defuse,X5,X6) = use
& a_select3(z_defuse,X5,X6) = use ) )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n2)
& leq(X8,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X7,X8) = use
& a_select3(z_defuse,X7,X8) = use ) ) ) ),
file('<stdin>',quaternion_ds1_inuse_0009) ).
fof(c_0_1_002,plain,
( epred1_0
<=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,pv5) )
=> ( a_select3(u_defuse,X1,X2) = use
& a_select3(z_defuse,X1,X2) = use ) )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n2)
& leq(X4,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X3,X4) = use
& a_select3(z_defuse,X3,X4) = use ) ) ) ),
introduced(definition) ).
fof(c_0_2_003,plain,
( epred2_0
<=> ( ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n2)
& leq(X6,pv5) )
=> ( a_select3(u_defuse,X5,X6) = use
& a_select3(z_defuse,X5,X6) = use ) )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n2)
& leq(X8,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X7,X8) = use
& a_select3(z_defuse,X7,X8) = use ) ) ) ),
introduced(definition) ).
fof(c_0_3_004,negated_conjecture,
~ ( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& epred2_0 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0]),c_0_1,theory(equality,[symmetry])]),c_0_2,theory(equality,[symmetry])]) ).
fof(c_0_4_005,plain,
( ( ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n2)
& leq(X6,pv5) )
=> ( a_select3(u_defuse,X5,X6) = use
& a_select3(z_defuse,X5,X6) = use ) )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n2)
& leq(X8,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X7,X8) = use
& a_select3(z_defuse,X7,X8) = use ) ) )
=> epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_5_006,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,pv5) )
=> ( a_select3(u_defuse,X1,X2) = use
& a_select3(z_defuse,X1,X2) = use ) )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n2)
& leq(X4,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X3,X4) = use
& a_select3(z_defuse,X3,X4) = use ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_6_007,negated_conjecture,
( epred1_0
& ( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ~ epred2_0 ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
fof(c_0_7_008,plain,
( ( leq(n0,esk3_0)
| leq(n0,esk1_0)
| epred2_0 )
& ( leq(n0,esk4_0)
| leq(n0,esk1_0)
| epred2_0 )
& ( leq(esk3_0,n2)
| leq(n0,esk1_0)
| epred2_0 )
& ( leq(esk4_0,minus(pv5,n1))
| leq(n0,esk1_0)
| epred2_0 )
& ( a_select3(u_defuse,esk3_0,esk4_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| leq(n0,esk1_0)
| epred2_0 )
& ( leq(n0,esk3_0)
| leq(n0,esk2_0)
| epred2_0 )
& ( leq(n0,esk4_0)
| leq(n0,esk2_0)
| epred2_0 )
& ( leq(esk3_0,n2)
| leq(n0,esk2_0)
| epred2_0 )
& ( leq(esk4_0,minus(pv5,n1))
| leq(n0,esk2_0)
| epred2_0 )
& ( a_select3(u_defuse,esk3_0,esk4_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| leq(n0,esk2_0)
| epred2_0 )
& ( leq(n0,esk3_0)
| leq(esk1_0,n2)
| epred2_0 )
& ( leq(n0,esk4_0)
| leq(esk1_0,n2)
| epred2_0 )
& ( leq(esk3_0,n2)
| leq(esk1_0,n2)
| epred2_0 )
& ( leq(esk4_0,minus(pv5,n1))
| leq(esk1_0,n2)
| epred2_0 )
& ( a_select3(u_defuse,esk3_0,esk4_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| leq(esk1_0,n2)
| epred2_0 )
& ( leq(n0,esk3_0)
| leq(esk2_0,pv5)
| epred2_0 )
& ( leq(n0,esk4_0)
| leq(esk2_0,pv5)
| epred2_0 )
& ( leq(esk3_0,n2)
| leq(esk2_0,pv5)
| epred2_0 )
& ( leq(esk4_0,minus(pv5,n1))
| leq(esk2_0,pv5)
| epred2_0 )
& ( a_select3(u_defuse,esk3_0,esk4_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| leq(esk2_0,pv5)
| epred2_0 )
& ( leq(n0,esk3_0)
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| epred2_0 )
& ( leq(n0,esk4_0)
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| epred2_0 )
& ( leq(esk3_0,n2)
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| epred2_0 )
& ( leq(esk4_0,minus(pv5,n1))
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| epred2_0 )
& ( a_select3(u_defuse,esk3_0,esk4_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk1_0,esk2_0) != use
| epred2_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_8_009,plain,
! [X5,X6,X7,X8] :
( ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 )
& ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,minus(n999,n1))
| ~ epred1_0 )
& ( a_select3(u_defuse,X5,X6) = use
| ~ leq(n0,X5)
| ~ leq(n0,X6)
| ~ leq(X5,n2)
| ~ leq(X6,pv5)
| ~ epred1_0 )
& ( a_select3(z_defuse,X5,X6) = use
| ~ leq(n0,X5)
| ~ leq(n0,X6)
| ~ leq(X5,n2)
| ~ leq(X6,pv5)
| ~ epred1_0 )
& ( a_select3(u_defuse,X7,X8) = use
| ~ leq(n0,X7)
| ~ leq(n0,X8)
| ~ leq(X7,n2)
| ~ leq(X8,minus(pv5,n1))
| ~ epred1_0 )
& ( a_select3(z_defuse,X7,X8) = use
| ~ leq(n0,X7)
| ~ leq(n0,X8)
| ~ leq(X7,n2)
| ~ leq(X8,minus(pv5,n1))
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_9_010,negated_conjecture,
( ~ epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_011,plain,
( epred2_0
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11_012,plain,
( epred2_0
| leq(esk4_0,minus(pv5,n1))
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12_013,plain,
( epred2_0
| leq(n0,esk1_0)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13_014,plain,
( epred2_0
| leq(n0,esk2_0)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14_015,plain,
( epred2_0
| leq(esk1_0,n2)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15_016,plain,
( epred2_0
| leq(esk2_0,pv5)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16_017,plain,
( epred2_0
| leq(n0,esk3_0)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17_018,plain,
( epred2_0
| leq(n0,esk4_0)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18_019,plain,
( epred2_0
| leq(esk3_0,n2)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19_020,plain,
( a_select3(u_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20_021,plain,
( a_select3(z_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21_022,plain,
( a_select3(u_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22_023,plain,
( a_select3(z_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23_024,plain,
( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24_025,plain,
( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25_026,plain,
( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26_027,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(esk4_0,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27_028,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(esk4_0,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28_029,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(esk4_0,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29_030,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(esk4_0,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30_031,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31_032,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_32_033,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(n0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33_034,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(esk3_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_34_035,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_35_036,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(n0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36_037,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(esk3_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_37_038,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38_039,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(n0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_39_040,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(esk3_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40_041,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(n0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41_042,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(n0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_42_043,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(esk3_0,n2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43_044,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_44_045,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45_046,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_46_047,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_47_048,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48_049,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49_050,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_50_051,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_51_052,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_52_053,plain,
( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53_054,plain,
( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_54_055,plain,
( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_55_056,plain,
( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56_057,plain,
( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_57_058,plain,
( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_58_059,plain,
( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_59_060,plain,
( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_60_061,plain,
( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_61_062,plain,
( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_62_063,plain,
( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_63_064,plain,
( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_64_065,plain,
( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_65_066,plain,
( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_66_067,plain,
( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_67_068,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_68_069,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_69_070,negated_conjecture,
( ~ epred2_0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
c_0_9,
[final] ).
cnf(c_0_70_071,plain,
( epred2_0
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
c_0_10,
[final] ).
cnf(c_0_71_072,plain,
( epred2_0
| leq(esk4_0,minus(pv5,n1))
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
c_0_11,
[final] ).
cnf(c_0_72_073,plain,
( epred2_0
| leq(n0,esk1_0)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
c_0_12,
[final] ).
cnf(c_0_73_074,plain,
( epred2_0
| leq(n0,esk2_0)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
c_0_13,
[final] ).
cnf(c_0_74_075,plain,
( epred2_0
| leq(esk1_0,n2)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
c_0_14,
[final] ).
cnf(c_0_75_076,plain,
( epred2_0
| leq(esk2_0,pv5)
| a_select3(z_defuse,esk3_0,esk4_0) != use
| a_select3(u_defuse,esk3_0,esk4_0) != use ),
c_0_15,
[final] ).
cnf(c_0_76_077,plain,
( epred2_0
| leq(n0,esk3_0)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
c_0_16,
[final] ).
cnf(c_0_77_078,plain,
( epred2_0
| leq(n0,esk4_0)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
c_0_17,
[final] ).
cnf(c_0_78_079,plain,
( epred2_0
| leq(esk3_0,n2)
| a_select3(z_defuse,esk1_0,esk2_0) != use
| a_select3(u_defuse,esk1_0,esk2_0) != use ),
c_0_18,
[final] ).
cnf(c_0_79_080,plain,
( a_select3(u_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
c_0_19,
[final] ).
cnf(c_0_80_081,plain,
( a_select3(z_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
c_0_20,
[final] ).
cnf(c_0_81_082,plain,
( a_select3(u_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
c_0_21,
[final] ).
cnf(c_0_82_083,plain,
( a_select3(z_defuse,X2,X1) = use
| ~ epred1_0
| ~ leq(X1,pv5)
| ~ leq(X2,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X2) ),
c_0_22,
[final] ).
cnf(c_0_83_084,plain,
( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 ),
c_0_23,
[final] ).
cnf(c_0_84_085,plain,
( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 ),
c_0_24,
[final] ).
cnf(c_0_85_086,plain,
( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 ),
c_0_25,
[final] ).
cnf(c_0_86_087,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(esk4_0,minus(pv5,n1)) ),
c_0_26,
[final] ).
cnf(c_0_87_088,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(esk4_0,minus(pv5,n1)) ),
c_0_27,
[final] ).
cnf(c_0_88_089,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(esk4_0,minus(pv5,n1)) ),
c_0_28,
[final] ).
cnf(c_0_89_090,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(esk4_0,minus(pv5,n1)) ),
c_0_29,
[final] ).
cnf(c_0_90_091,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
c_0_30,
[final] ).
cnf(c_0_91_092,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(n0,esk3_0) ),
c_0_31,
[final] ).
cnf(c_0_92_093,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(n0,esk4_0) ),
c_0_32,
[final] ).
cnf(c_0_93_094,plain,
( epred2_0
| leq(n0,esk1_0)
| leq(esk3_0,n2) ),
c_0_33,
[final] ).
cnf(c_0_94_095,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(n0,esk3_0) ),
c_0_34,
[final] ).
cnf(c_0_95_096,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(n0,esk4_0) ),
c_0_35,
[final] ).
cnf(c_0_96_097,plain,
( epred2_0
| leq(n0,esk2_0)
| leq(esk3_0,n2) ),
c_0_36,
[final] ).
cnf(c_0_97_098,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(n0,esk3_0) ),
c_0_37,
[final] ).
cnf(c_0_98_099,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(n0,esk4_0) ),
c_0_38,
[final] ).
cnf(c_0_99_100,plain,
( epred2_0
| leq(esk1_0,n2)
| leq(esk3_0,n2) ),
c_0_39,
[final] ).
cnf(c_0_100_101,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(n0,esk3_0) ),
c_0_40,
[final] ).
cnf(c_0_101_102,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(n0,esk4_0) ),
c_0_41,
[final] ).
cnf(c_0_102_103,plain,
( epred2_0
| leq(esk2_0,pv5)
| leq(esk3_0,n2) ),
c_0_42,
[final] ).
cnf(c_0_103_104,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred1_0 ),
c_0_43,
[final] ).
cnf(c_0_104_105,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred1_0 ),
c_0_44,
[final] ).
cnf(c_0_105_106,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred1_0 ),
c_0_45,
[final] ).
cnf(c_0_106_107,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 ),
c_0_46,
[final] ).
cnf(c_0_107_108,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 ),
c_0_47,
[final] ).
cnf(c_0_108_109,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 ),
c_0_48,
[final] ).
cnf(c_0_109_110,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 ),
c_0_49,
[final] ).
cnf(c_0_110_111,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 ),
c_0_50,
[final] ).
cnf(c_0_111_112,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 ),
c_0_51,
[final] ).
cnf(c_0_112_113,plain,
( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 ),
c_0_52,
[final] ).
cnf(c_0_113_114,plain,
( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 ),
c_0_53,
[final] ).
cnf(c_0_114_115,plain,
( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 ),
c_0_54,
[final] ).
cnf(c_0_115_116,plain,
( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 ),
c_0_55,
[final] ).
cnf(c_0_116_117,plain,
( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 ),
c_0_56,
[final] ).
cnf(c_0_117_118,plain,
( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 ),
c_0_57,
[final] ).
cnf(c_0_118_119,plain,
( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 ),
c_0_58,
[final] ).
cnf(c_0_119_120,plain,
( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 ),
c_0_59,
[final] ).
cnf(c_0_120_121,plain,
( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 ),
c_0_60,
[final] ).
cnf(c_0_121_122,plain,
( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 ),
c_0_61,
[final] ).
cnf(c_0_122_123,plain,
( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 ),
c_0_62,
[final] ).
cnf(c_0_123_124,plain,
( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 ),
c_0_63,
[final] ).
cnf(c_0_124_125,plain,
( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 ),
c_0_64,
[final] ).
cnf(c_0_125_126,plain,
( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 ),
c_0_65,
[final] ).
cnf(c_0_126_127,plain,
( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 ),
c_0_66,
[final] ).
cnf(c_0_127_128,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
c_0_67,
[final] ).
cnf(c_0_128_129,negated_conjecture,
epred1_0,
c_0_68,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_821,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1))
| ~ epred1_0
| a_select3(z_defuse,X0,X1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_80) ).
cnf(c_869,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_128) ).
cnf(c_1081,plain,
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(global_propositional_subsumption,[status(thm)],[c_821,c_869]) ).
cnf(c_1113,plain,
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1081]) ).
cnf(c_1114,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(z_defuse,X1,X0) = use ),
inference(rewriting,[status(thm)],[c_1113]) ).
cnf(c_1278,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(z_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1114]) ).
cnf(c_1315,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(z_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1278]) ).
cnf(c_1437,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(z_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1315]) ).
cnf(c_2327,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(z_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1437]) ).
cnf(c_2255872,plain,
( ~ leq(n0,sk2_esk3_0)
| ~ leq(n0,sk2_esk4_0)
| ~ leq(sk2_esk3_0,n2)
| ~ leq(sk2_esk4_0,minus(pv5,n1))
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) = use ),
inference(instantiation,[status(thm)],[c_2327]) ).
cnf(c_823,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5)
| ~ epred1_0
| a_select3(z_defuse,X0,X1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_82) ).
cnf(c_1078,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(global_propositional_subsumption,[status(thm)],[c_823,c_1078]) ).
cnf(c_1117,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1078]) ).
cnf(c_1264,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1117]) ).
cnf(c_1329,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1264]) ).
cnf(c_1423,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1329]) ).
cnf(c_2313,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(z_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1423]) ).
cnf(c_168947,plain,
( ~ leq(n0,sk2_esk1_0)
| ~ leq(n0,X0)
| ~ leq(sk2_esk1_0,n2)
| ~ leq(X0,pv5)
| a_select3(z_defuse,sk2_esk1_0,X0) = use ),
inference(instantiation,[status(thm)],[c_2313]) ).
cnf(c_1290954,plain,
( ~ leq(n0,sk2_esk1_0)
| ~ leq(n0,sk2_esk2_0)
| ~ leq(sk2_esk1_0,n2)
| ~ leq(sk2_esk2_0,pv5)
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) = use ),
inference(instantiation,[status(thm)],[c_168947]) ).
cnf(c_820,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1))
| ~ epred1_0
| a_select3(u_defuse,X0,X1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_79) ).
cnf(c_1083,plain,
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(global_propositional_subsumption,[status(thm)],[c_820,c_869]) ).
cnf(c_1111,plain,
( ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1083]) ).
cnf(c_1112,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(u_defuse,X1,X0) = use ),
inference(rewriting,[status(thm)],[c_1111]) ).
cnf(c_1277,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(u_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1112]) ).
cnf(c_1316,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(u_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1277]) ).
cnf(c_1436,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(u_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1316]) ).
cnf(c_2326,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,n2)
| ~ leq(X0,minus(pv5,n1))
| a_select3(u_defuse,X1,X0) = use ),
inference(copy,[status(esa)],[c_1436]) ).
cnf(c_672840,plain,
( ~ leq(n0,sk2_esk3_0)
| ~ leq(n0,sk2_esk4_0)
| ~ leq(sk2_esk3_0,n2)
| ~ leq(sk2_esk4_0,minus(pv5,n1))
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) = use ),
inference(instantiation,[status(thm)],[c_2326]) ).
cnf(c_822,plain,
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5)
| ~ epred1_0
| a_select3(u_defuse,X0,X1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_81) ).
cnf(c_1080,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(global_propositional_subsumption,[status(thm)],[c_822,c_1080]) ).
cnf(c_1115,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1080]) ).
cnf(c_1265,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1115]) ).
cnf(c_1328,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1265]) ).
cnf(c_1424,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1328]) ).
cnf(c_2314,plain,
( ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| a_select3(u_defuse,X0,X1) = use ),
inference(copy,[status(esa)],[c_1424]) ).
cnf(c_169002,plain,
( ~ leq(n0,sk2_esk1_0)
| ~ leq(n0,sk2_esk2_0)
| ~ leq(sk2_esk1_0,n2)
| ~ leq(sk2_esk2_0,pv5)
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) = use ),
inference(instantiation,[status(thm)],[c_2314]) ).
cnf(c_811,plain,
( epred2_0
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_70) ).
cnf(c_810,negated_conjecture,
( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ~ epred2_0
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_69) ).
cnf(c_868,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_127) ).
cnf(c_867,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n5) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_126) ).
cnf(c_866,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n4) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_125) ).
cnf(c_865,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n3) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_124) ).
cnf(c_864,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n2) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_123) ).
cnf(c_863,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_122) ).
cnf(c_862,plain,
( ~ epred1_0
| a_select2(xinit_noise_defuse,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_121) ).
cnf(c_861,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n5) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_120) ).
cnf(c_860,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n4) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_119) ).
cnf(c_859,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n3) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_118) ).
cnf(c_858,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n2) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_117) ).
cnf(c_857,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_116) ).
cnf(c_856,plain,
( ~ epred1_0
| a_select2(xinit_mean_defuse,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_115) ).
cnf(c_855,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n5) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_114) ).
cnf(c_854,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n4) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_113) ).
cnf(c_853,plain,
( ~ epred1_0
| a_select2(xinit_defuse,n3) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_112) ).
cnf(c_852,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n5) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_111) ).
cnf(c_851,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n4) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_110) ).
cnf(c_850,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n3) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_109) ).
cnf(c_849,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n2) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_108) ).
cnf(c_848,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_107) ).
cnf(c_847,plain,
( ~ epred1_0
| a_select2(sigma_defuse,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_106) ).
cnf(c_846,plain,
( ~ epred1_0
| a_select2(rho_defuse,n2) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_105) ).
cnf(c_845,plain,
( ~ epred1_0
| a_select2(rho_defuse,n1) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_104) ).
cnf(c_844,plain,
( ~ epred1_0
| a_select2(rho_defuse,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_103) ).
cnf(c_831,plain,
( leq(pv5,minus(n999,n1))
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_90) ).
cnf(c_826,plain,
( ~ epred1_0
| a_select3(u_defuse,n2,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_85) ).
cnf(c_825,plain,
( ~ epred1_0
| a_select3(u_defuse,n1,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_84) ).
cnf(c_824,plain,
( ~ epred1_0
| a_select3(u_defuse,n0,n0) = use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_83) ).
cnf(c_1092,plain,
( a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_811,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_812,plain,
( leq(sk2_esk4_0,minus(pv5,n1))
| epred2_0
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_71) ).
cnf(c_1091,plain,
( leq(sk2_esk4_0,minus(pv5,n1))
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_812,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_813,plain,
( leq(n0,sk2_esk1_0)
| epred2_0
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_72) ).
cnf(c_1090,plain,
( leq(n0,sk2_esk1_0)
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_813,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_814,plain,
( leq(n0,sk2_esk2_0)
| epred2_0
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_73) ).
cnf(c_1089,plain,
( leq(n0,sk2_esk2_0)
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_814,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_815,plain,
( leq(sk2_esk1_0,n2)
| epred2_0
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_74) ).
cnf(c_1088,plain,
( leq(sk2_esk1_0,n2)
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_815,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_816,plain,
( leq(sk2_esk2_0,pv5)
| epred2_0
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_75) ).
cnf(c_1087,plain,
( leq(sk2_esk2_0,pv5)
| a_select3(u_defuse,sk2_esk3_0,sk2_esk4_0) != use
| a_select3(z_defuse,sk2_esk3_0,sk2_esk4_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_816,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_817,plain,
( leq(n0,sk2_esk3_0)
| epred2_0
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_76) ).
cnf(c_1086,plain,
( leq(n0,sk2_esk3_0)
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_817,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_818,plain,
( leq(n0,sk2_esk4_0)
| epred2_0
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_77) ).
cnf(c_1085,plain,
( leq(n0,sk2_esk4_0)
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_818,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_819,plain,
( leq(sk2_esk3_0,n2)
| epred2_0
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_78) ).
cnf(c_1084,plain,
( leq(sk2_esk3_0,n2)
| a_select3(u_defuse,sk2_esk1_0,sk2_esk2_0) != use
| a_select3(z_defuse,sk2_esk1_0,sk2_esk2_0) != use ),
inference(global_propositional_subsumption,[status(thm)],[c_819,c_1084]) ).
cnf(c_828,plain,
( leq(n0,sk2_esk2_0)
| leq(sk2_esk4_0,minus(pv5,n1))
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_87) ).
cnf(c_1073,plain,
( leq(sk2_esk4_0,minus(pv5,n1))
| leq(n0,sk2_esk2_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_828,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_829,plain,
( leq(sk2_esk1_0,n2)
| leq(sk2_esk4_0,minus(pv5,n1))
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_88) ).
cnf(c_1072,plain,
( leq(sk2_esk4_0,minus(pv5,n1))
| leq(sk2_esk1_0,n2) ),
inference(global_propositional_subsumption,[status(thm)],[c_829,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_830,plain,
( leq(sk2_esk2_0,pv5)
| leq(sk2_esk4_0,minus(pv5,n1))
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_89) ).
cnf(c_1071,plain,
( leq(sk2_esk4_0,minus(pv5,n1))
| leq(sk2_esk2_0,pv5) ),
inference(global_propositional_subsumption,[status(thm)],[c_830,c_1071]) ).
cnf(c_832,plain,
( leq(n0,sk2_esk1_0)
| leq(n0,sk2_esk3_0)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_91) ).
cnf(c_1069,plain,
( leq(n0,sk2_esk3_0)
| leq(n0,sk2_esk1_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_832,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_833,plain,
( leq(n0,sk2_esk1_0)
| leq(n0,sk2_esk4_0)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_92) ).
cnf(c_1068,plain,
( leq(n0,sk2_esk4_0)
| leq(n0,sk2_esk1_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_833,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_834,plain,
( leq(n0,sk2_esk1_0)
| leq(sk2_esk3_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_93) ).
cnf(c_1067,plain,
( leq(sk2_esk3_0,n2)
| leq(n0,sk2_esk1_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_834,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_838,plain,
( leq(n0,sk2_esk3_0)
| leq(sk2_esk1_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_97) ).
cnf(c_1063,plain,
( leq(sk2_esk1_0,n2)
| leq(n0,sk2_esk3_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_838,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_839,plain,
( leq(n0,sk2_esk4_0)
| leq(sk2_esk1_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_98) ).
cnf(c_1062,plain,
( leq(sk2_esk1_0,n2)
| leq(n0,sk2_esk4_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_839,c_1062]) ).
cnf(c_840,plain,
( leq(sk2_esk1_0,n2)
| leq(sk2_esk3_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_99) ).
cnf(c_1061,plain,
( leq(sk2_esk3_0,n2)
| leq(sk2_esk1_0,n2) ),
inference(global_propositional_subsumption,[status(thm)],[c_840,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_841,plain,
( leq(n0,sk2_esk3_0)
| leq(sk2_esk2_0,pv5)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_100) ).
cnf(c_1060,plain,
( leq(sk2_esk2_0,pv5)
| leq(n0,sk2_esk3_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_841,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_842,plain,
( leq(n0,sk2_esk4_0)
| leq(sk2_esk2_0,pv5)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_101) ).
cnf(c_1059,plain,
( leq(sk2_esk2_0,pv5)
| leq(n0,sk2_esk4_0) ),
inference(global_propositional_subsumption,[status(thm)],[c_842,c_869,c_810,c_868,c_867,c_866,c_865,c_864,c_863,c_862,c_861,c_860,c_859,c_858,c_857,c_856,c_855,c_854,c_853,c_852,c_851,c_850,c_849,c_848,c_847,c_846,c_845,c_844,c_831,c_826,c_825,c_824]) ).
cnf(c_843,plain,
( leq(sk2_esk2_0,pv5)
| leq(sk2_esk3_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_102) ).
cnf(c_1058,plain,
( leq(sk2_esk3_0,n2)
| leq(sk2_esk2_0,pv5) ),
inference(global_propositional_subsumption,[status(thm)],[c_843,c_1058]) ).
cnf(c_827,plain,
( leq(n0,sk2_esk1_0)
| leq(sk2_esk4_0,minus(pv5,n1))
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_86) ).
cnf(c_835,plain,
( leq(n0,sk2_esk2_0)
| leq(n0,sk2_esk3_0)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_94) ).
cnf(c_836,plain,
( leq(n0,sk2_esk2_0)
| leq(n0,sk2_esk4_0)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_95) ).
cnf(c_837,plain,
( leq(n0,sk2_esk2_0)
| leq(sk2_esk3_0,n2)
| epred2_0 ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p',c_0_96) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_2255872,c_1290954,c_672840,c_169002,c_1092,c_1091,c_1090,c_1089,c_1088,c_1087,c_1086,c_1085,c_1084,c_1073,c_1072,c_1071,c_1069,c_1068,c_1067,c_1063,c_1062,c_1061,c_1060,c_1059,c_1058,c_813,c_824,c_825,c_826,c_827,c_829,c_831,c_832,c_833,c_835,c_836,c_837,c_838,c_839,c_844,c_845,c_846,c_847,c_848,c_849,c_850,c_851,c_852,c_853,c_854,c_855,c_856,c_857,c_858,c_859,c_860,c_861,c_862,c_863,c_864,c_865,c_866,c_867,c_868,c_810,c_869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV097+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 03:06:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.20/0.44 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.44 % FOF problem with conjecture
% 0.20/0.44 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a87da8 | grep -v "SZS"
% 0.20/0.46
% 0.20/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ iProver source info
% 0.20/0.46
% 0.20/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.46 % git: non_committed_changes: true
% 0.20/0.46 % git: last_make_outside_of_git: true
% 0.20/0.46
% 0.20/0.46 %
% 0.20/0.46 % ------ Input Options
% 0.20/0.46
% 0.20/0.46 % --out_options all
% 0.20/0.46 % --tptp_safe_out true
% 0.20/0.46 % --problem_path ""
% 0.20/0.46 % --include_path ""
% 0.20/0.46 % --clausifier .//eprover
% 0.20/0.46 % --clausifier_options --tstp-format
% 0.20/0.46 % --stdin false
% 0.20/0.46 % --dbg_backtrace false
% 0.20/0.46 % --dbg_dump_prop_clauses false
% 0.20/0.46 % --dbg_dump_prop_clauses_file -
% 0.20/0.46 % --dbg_out_stat false
% 0.20/0.46
% 0.20/0.46 % ------ General Options
% 0.20/0.46
% 0.20/0.46 % --fof false
% 0.20/0.46 % --time_out_real 150.
% 0.20/0.46 % --time_out_prep_mult 0.2
% 0.20/0.46 % --time_out_virtual -1.
% 0.20/0.46 % --schedule none
% 0.20/0.46 % --ground_splitting input
% 0.20/0.46 % --splitting_nvd 16
% 0.20/0.46 % --non_eq_to_eq false
% 0.20/0.46 % --prep_gs_sim true
% 0.20/0.46 % --prep_unflatten false
% 0.20/0.46 % --prep_res_sim true
% 0.20/0.46 % --prep_upred true
% 0.20/0.46 % --res_sim_input true
% 0.20/0.46 % --clause_weak_htbl true
% 0.20/0.46 % --gc_record_bc_elim false
% 0.20/0.46 % --symbol_type_check false
% 0.20/0.46 % --clausify_out false
% 0.20/0.46 % --large_theory_mode false
% 0.20/0.46 % --prep_sem_filter none
% 0.20/0.46 % --prep_sem_filter_out false
% 0.20/0.46 % --preprocessed_out false
% 0.20/0.46 % --sub_typing false
% 0.20/0.46 % --brand_transform false
% 0.20/0.46 % --pure_diseq_elim true
% 0.20/0.46 % --min_unsat_core false
% 0.20/0.46 % --pred_elim true
% 0.20/0.46 % --add_important_lit false
% 0.20/0.46 % --soft_assumptions false
% 0.20/0.46 % --reset_solvers false
% 0.20/0.46 % --bc_imp_inh []
% 0.20/0.46 % --conj_cone_tolerance 1.5
% 0.20/0.46 % --prolific_symb_bound 500
% 0.20/0.46 % --lt_threshold 2000
% 0.20/0.46
% 0.20/0.46 % ------ SAT Options
% 0.20/0.46
% 0.20/0.46 % --sat_mode false
% 0.20/0.46 % --sat_fm_restart_options ""
% 0.20/0.46 % --sat_gr_def false
% 0.20/0.46 % --sat_epr_types true
% 0.20/0.46 % --sat_non_cyclic_types false
% 0.20/0.46 % --sat_finite_models false
% 0.20/0.46 % --sat_fm_lemmas false
% 0.20/0.46 % --sat_fm_prep false
% 0.20/0.46 % --sat_fm_uc_incr true
% 0.20/0.46 % --sat_out_model small
% 0.20/0.46 % --sat_out_clauses false
% 0.20/0.46
% 0.20/0.46 % ------ QBF Options
% 0.20/0.46
% 0.20/0.46 % --qbf_mode false
% 0.20/0.46 % --qbf_elim_univ true
% 0.20/0.46 % --qbf_sk_in true
% 0.20/0.46 % --qbf_pred_elim true
% 0.20/0.46 % --qbf_split 32
% 0.20/0.46
% 0.20/0.46 % ------ BMC1 Options
% 0.20/0.46
% 0.20/0.46 % --bmc1_incremental false
% 0.20/0.46 % --bmc1_axioms reachable_all
% 0.20/0.46 % --bmc1_min_bound 0
% 0.20/0.46 % --bmc1_max_bound -1
% 0.20/0.46 % --bmc1_max_bound_default -1
% 0.20/0.46 % --bmc1_symbol_reachability true
% 0.20/0.46 % --bmc1_property_lemmas false
% 0.20/0.46 % --bmc1_k_induction false
% 0.20/0.46 % --bmc1_non_equiv_states false
% 0.20/0.46 % --bmc1_deadlock false
% 0.20/0.46 % --bmc1_ucm false
% 0.20/0.46 % --bmc1_add_unsat_core none
% 0.20/0.46 % --bmc1_unsat_core_children false
% 0.20/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.46 % --bmc1_out_stat full
% 0.20/0.46 % --bmc1_ground_init false
% 0.20/0.46 % --bmc1_pre_inst_next_state false
% 0.20/0.46 % --bmc1_pre_inst_state false
% 0.20/0.46 % --bmc1_pre_inst_reach_state false
% 0.20/0.46 % --bmc1_out_unsat_core false
% 0.20/0.46 % --bmc1_aig_witness_out false
% 0.20/0.46 % --bmc1_verbose false
% 0.20/0.46 % --bmc1_dump_clauses_tptp false
% 0.63/0.95 % --bmc1_dump_unsat_core_tptp false
% 0.63/0.95 % --bmc1_dump_file -
% 0.63/0.95 % --bmc1_ucm_expand_uc_limit 128
% 0.63/0.95 % --bmc1_ucm_n_expand_iterations 6
% 0.63/0.95 % --bmc1_ucm_extend_mode 1
% 0.63/0.95 % --bmc1_ucm_init_mode 2
% 0.63/0.95 % --bmc1_ucm_cone_mode none
% 0.63/0.95 % --bmc1_ucm_reduced_relation_type 0
% 0.63/0.95 % --bmc1_ucm_relax_model 4
% 0.63/0.95 % --bmc1_ucm_full_tr_after_sat true
% 0.63/0.95 % --bmc1_ucm_expand_neg_assumptions false
% 0.63/0.95 % --bmc1_ucm_layered_model none
% 0.63/0.95 % --bmc1_ucm_max_lemma_size 10
% 0.63/0.95
% 0.63/0.95 % ------ AIG Options
% 0.63/0.95
% 0.63/0.95 % --aig_mode false
% 0.63/0.95
% 0.63/0.95 % ------ Instantiation Options
% 0.63/0.95
% 0.63/0.95 % --instantiation_flag true
% 0.63/0.95 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.63/0.95 % --inst_solver_per_active 750
% 0.63/0.95 % --inst_solver_calls_frac 0.5
% 0.63/0.95 % --inst_passive_queue_type priority_queues
% 0.63/0.95 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.63/0.95 % --inst_passive_queues_freq [25;2]
% 0.63/0.95 % --inst_dismatching true
% 0.63/0.95 % --inst_eager_unprocessed_to_passive true
% 0.63/0.95 % --inst_prop_sim_given true
% 0.63/0.95 % --inst_prop_sim_new false
% 0.63/0.95 % --inst_orphan_elimination true
% 0.63/0.95 % --inst_learning_loop_flag true
% 0.63/0.95 % --inst_learning_start 3000
% 0.63/0.95 % --inst_learning_factor 2
% 0.63/0.95 % --inst_start_prop_sim_after_learn 3
% 0.63/0.95 % --inst_sel_renew solver
% 0.63/0.95 % --inst_lit_activity_flag true
% 0.63/0.95 % --inst_out_proof true
% 0.63/0.95
% 0.63/0.95 % ------ Resolution Options
% 0.63/0.95
% 0.63/0.95 % --resolution_flag true
% 0.63/0.95 % --res_lit_sel kbo_max
% 0.63/0.95 % --res_to_prop_solver none
% 0.63/0.95 % --res_prop_simpl_new false
% 0.63/0.95 % --res_prop_simpl_given false
% 0.63/0.95 % --res_passive_queue_type priority_queues
% 0.63/0.95 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.63/0.95 % --res_passive_queues_freq [15;5]
% 0.63/0.95 % --res_forward_subs full
% 0.63/0.95 % --res_backward_subs full
% 0.63/0.95 % --res_forward_subs_resolution true
% 0.63/0.95 % --res_backward_subs_resolution true
% 0.63/0.95 % --res_orphan_elimination false
% 0.63/0.95 % --res_time_limit 1000.
% 0.63/0.95 % --res_out_proof true
% 0.63/0.95 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s
% 0.63/0.95 % --modulo true
% 0.63/0.95
% 0.63/0.95 % ------ Combination Options
% 0.63/0.95
% 0.63/0.95 % --comb_res_mult 1000
% 0.63/0.95 % --comb_inst_mult 300
% 0.63/0.95 % ------
% 0.63/0.95
% 0.63/0.95 % ------ Parsing...% successful
% 0.63/0.95
% 0.63/0.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.63/0.95
% 0.63/0.95 % ------ Proving...
% 0.63/0.95 % ------ Problem Properties
% 0.63/0.95
% 0.63/0.95 %
% 0.63/0.95 % EPR false
% 0.63/0.95 % Horn false
% 0.63/0.95 % Has equality true
% 0.63/0.95
% 0.63/0.95 % % ------ Input Options Time Limit: Unbounded
% 0.63/0.95
% 0.63/0.95
% 0.63/0.95 Compiling...
% 0.63/0.95 Loading plugin: done.
% 0.63/0.95 Compiling...
% 0.63/0.95 Loading plugin: done.
% 0.63/0.95 Compiling...
% 0.63/0.95 Loading plugin: done.
% 0.63/0.95 % % ------ Current options:
% 0.63/0.95
% 0.63/0.95 % ------ Input Options
% 0.63/0.95
% 0.63/0.95 % --out_options all
% 0.63/0.95 % --tptp_safe_out true
% 0.63/0.95 % --problem_path ""
% 0.63/0.95 % --include_path ""
% 0.63/0.95 % --clausifier .//eprover
% 0.63/0.95 % --clausifier_options --tstp-format
% 0.63/0.95 % --stdin false
% 0.63/0.95 % --dbg_backtrace false
% 0.63/0.95 % --dbg_dump_prop_clauses false
% 0.63/0.95 % --dbg_dump_prop_clauses_file -
% 0.63/0.95 % --dbg_out_stat false
% 0.63/0.95
% 0.63/0.95 % ------ General Options
% 0.63/0.95
% 0.63/0.95 % --fof false
% 0.63/0.95 % --time_out_real 150.
% 0.63/0.95 % --time_out_prep_mult 0.2
% 0.63/0.95 % --time_out_virtual -1.
% 0.63/0.95 % --schedule none
% 0.63/0.95 % --ground_splitting input
% 0.63/0.95 % --splitting_nvd 16
% 0.63/0.95 % --non_eq_to_eq false
% 0.63/0.95 % --prep_gs_sim true
% 0.63/0.95 % --prep_unflatten false
% 0.63/0.95 % --prep_res_sim true
% 0.63/0.95 % --prep_upred true
% 0.63/0.95 % --res_sim_input true
% 0.63/0.95 % --clause_weak_htbl true
% 0.63/0.95 % --gc_record_bc_elim false
% 0.63/0.95 % --symbol_type_check false
% 0.63/0.95 % --clausify_out false
% 0.63/0.95 % --large_theory_mode false
% 0.63/0.95 % --prep_sem_filter none
% 0.63/0.95 % --prep_sem_filter_out false
% 0.63/0.95 % --preprocessed_out false
% 0.63/0.95 % --sub_typing false
% 0.63/0.95 % --brand_transform false
% 0.63/0.95 % --pure_diseq_elim true
% 0.63/0.95 % --min_unsat_core false
% 0.63/0.95 % --pred_elim true
% 0.63/0.95 % --add_important_lit false
% 0.63/0.95 % --soft_assumptions false
% 0.63/0.95 % --reset_solvers false
% 0.63/0.95 % --bc_imp_inh []
% 0.63/0.95 % --conj_cone_tolerance 1.5
% 0.63/0.95 % --prolific_symb_bound 500
% 0.63/0.95 % --lt_threshold 2000
% 0.63/0.95
% 0.63/0.95 % ------ SAT Options
% 0.63/0.95
% 0.63/0.95 % --sat_mode false
% 0.63/0.95 % --sat_fm_restart_options ""
% 0.63/0.95 % --sat_gr_def false
% 0.63/0.95 % --sat_epr_types true
% 0.63/0.95 % --sat_non_cyclic_types false
% 0.63/0.95 % --sat_finite_models false
% 0.63/0.95 % --sat_fm_lemmas false
% 0.63/0.95 % --sat_fm_prep false
% 0.63/0.95 % --sat_fm_uc_incr true
% 0.63/0.95 % --sat_out_model small
% 0.63/0.95 % --sat_out_clauses false
% 0.63/0.95
% 0.63/0.95 % ------ QBF Options
% 0.63/0.95
% 0.63/0.95 % --qbf_mode false
% 0.63/0.95 % --qbf_elim_univ true
% 0.63/0.95 % --qbf_sk_in true
% 0.63/0.95 % --qbf_pred_elim true
% 0.63/0.95 % --qbf_split 32
% 0.63/0.95
% 0.63/0.95 % ------ BMC1 Options
% 0.63/0.95
% 0.63/0.95 % --bmc1_incremental false
% 0.63/0.95 % --bmc1_axioms reachable_all
% 0.63/0.95 % --bmc1_min_bound 0
% 0.63/0.95 % --bmc1_max_bound -1
% 0.63/0.95 % --bmc1_max_bound_default -1
% 0.63/0.95 % --bmc1_symbol_reachability true
% 0.63/0.95 % --bmc1_property_lemmas false
% 0.63/0.95 % --bmc1_k_induction false
% 0.63/0.95 % --bmc1_non_equiv_states false
% 0.63/0.95 % --bmc1_deadlock false
% 0.63/0.95 % --bmc1_ucm false
% 0.63/0.95 % --bmc1_add_unsat_core none
% 0.63/0.95 % --bmc1_unsat_core_children false
% 0.63/0.95 % --bmc1_unsat_core_extrapolate_axioms false
% 0.63/0.95 % --bmc1_out_stat full
% 0.63/0.95 % --bmc1_ground_init false
% 0.63/0.95 % --bmc1_pre_inst_next_state false
% 0.63/0.95 % --bmc1_pre_inst_state false
% 0.63/0.95 % --bmc1_pre_inst_reach_state false
% 0.63/0.95 % --bmc1_out_unsat_core false
% 0.63/0.95 % --bmc1_aig_witness_out false
% 0.63/0.95 % --bmc1_verbose false
% 0.63/0.95 % --bmc1_dump_clauses_tptp false
% 0.63/0.95 % --bmc1_dump_unsat_core_tptp false
% 0.63/0.95 % --bmc1_dump_file -
% 0.63/0.95 % --bmc1_ucm_expand_uc_limit 128
% 0.63/0.95 % --bmc1_ucm_n_expand_iterations 6
% 0.63/0.95 % --bmc1_ucm_extend_mode 1
% 0.63/0.95 % --bmc1_ucm_init_mode 2
% 0.63/0.95 % --bmc1_ucm_cone_mode none
% 0.63/0.95 % --bmc1_ucm_reduced_relation_type 0
% 0.63/0.95 % --bmc1_ucm_relax_model 4
% 0.63/0.95 % --bmc1_ucm_full_tr_after_sat true
% 0.63/0.95 % --bmc1_ucm_expand_neg_assumptions false
% 0.63/0.95 % --bmc1_ucm_layered_model none
% 0.63/0.95 % --bmc1_ucm_max_lemma_size 10
% 0.63/0.95
% 0.63/0.95 % ------ AIG Options
% 0.63/0.95
% 0.63/0.95 % --aig_mode false
% 0.63/0.95
% 0.63/0.95 % ------ Instantiation Options
% 0.63/0.95
% 0.63/0.95 % --instantiation_flag true
% 0.63/0.95 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.63/0.95 % --inst_solver_per_active 750
% 0.63/0.95 % --inst_solver_calls_frac 0.5
% 0.63/0.95 % --inst_passive_queue_type priority_queues
% 0.63/0.95 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.63/0.95 % --inst_passive_queues_freq [25;2]
% 0.63/0.95 % --inst_dismatching true
% 150.19/150.46 % --inst_eager_unprocessed_to_passive true
% 150.19/150.46 % --inst_prop_sim_given true
% 150.19/150.46 % --inst_prop_sim_new false
% 150.19/150.46 % --inst_orphan_elimination true
% 150.19/150.46 % --inst_learning_loop_flag true
% 150.19/150.46 % --inst_learning_start 3000
% 150.19/150.46 % --inst_learning_factor 2
% 150.19/150.46 % --inst_start_prop_sim_after_learn 3
% 150.19/150.46 % --inst_sel_renew solver
% 150.19/150.46 % --inst_lit_activity_flag true
% 150.19/150.46 % --inst_out_proof true
% 150.19/150.46
% 150.19/150.46 % ------ Resolution Options
% 150.19/150.46
% 150.19/150.46 % --resolution_flag true
% 150.19/150.46 % --res_lit_sel kbo_max
% 150.19/150.46 % --res_to_prop_solver none
% 150.19/150.46 % --res_prop_simpl_new false
% 150.19/150.46 % --res_prop_simpl_given false
% 150.19/150.46 % --res_passive_queue_type priority_queues
% 150.19/150.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.19/150.46 % --res_passive_queues_freq [15;5]
% 150.19/150.46 % --res_forward_subs full
% 150.19/150.46 % --res_backward_subs full
% 150.19/150.46 % --res_forward_subs_resolution true
% 150.19/150.46 % --res_backward_subs_resolution true
% 150.19/150.46 % --res_orphan_elimination false
% 150.19/150.46 % --res_time_limit 1000.
% 150.19/150.46 % --res_out_proof true
% 150.19/150.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s
% 150.19/150.46 % --modulo true
% 150.19/150.46
% 150.19/150.46 % ------ Combination Options
% 150.19/150.46
% 150.19/150.46 % --comb_res_mult 1000
% 150.19/150.46 % --comb_inst_mult 300
% 150.19/150.46 % ------
% 150.19/150.46
% 150.19/150.46
% 150.19/150.46
% 150.19/150.46 % ------ Proving...
% 150.19/150.46 %
% 150.19/150.46
% 150.19/150.46
% 150.19/150.46 % Time Out Real
% 150.19/150.46
% 150.19/150.46 % ------ Statistics
% 150.19/150.46
% 150.19/150.46 % ------ General
% 150.19/150.46
% 150.19/150.46 % num_of_input_clauses: 801
% 150.19/150.46 % num_of_input_neg_conjectures: 2
% 150.19/150.46 % num_of_splits: 0
% 150.19/150.46 % num_of_split_atoms: 0
% 150.19/150.46 % num_of_sem_filtered_clauses: 0
% 150.19/150.46 % num_of_subtypes: 0
% 150.19/150.46 % monotx_restored_types: 0
% 150.19/150.46 % sat_num_of_epr_types: 0
% 150.19/150.46 % sat_num_of_non_cyclic_types: 0
% 150.19/150.46 % sat_guarded_non_collapsed_types: 0
% 150.19/150.46 % is_epr: 0
% 150.19/150.46 % is_horn: 0
% 150.19/150.46 % has_eq: 1
% 150.19/150.46 % num_pure_diseq_elim: 0
% 150.19/150.46 % simp_replaced_by: 0
% 150.19/150.46 % res_preprocessed: 62
% 150.19/150.46 % prep_upred: 0
% 150.19/150.46 % prep_unflattend: 0
% 150.19/150.46 % pred_elim_cands: 0
% 150.19/150.46 % pred_elim: 0
% 150.19/150.46 % pred_elim_cl: 0
% 150.19/150.46 % pred_elim_cycles: 0
% 150.19/150.46 % forced_gc_time: 0
% 150.19/150.46 % gc_basic_clause_elim: 0
% 150.19/150.46 % parsing_time: 0.08
% 150.19/150.46 % sem_filter_time: 0.
% 150.19/150.46 % pred_elim_time: 0.
% 150.19/150.46 % out_proof_time: 0.
% 150.19/150.46 % monotx_time: 0.
% 150.19/150.46 % subtype_inf_time: 0.
% 150.19/150.46 % unif_index_cands_time: 0.247
% 150.19/150.46 % unif_index_add_time: 0.022
% 150.19/150.46 % total_time: 150.017
% 150.19/150.46 % num_of_symbols: 101
% 150.19/150.46 % num_of_terms: 1324741
% 150.19/150.46
% 150.19/150.46 % ------ Propositional Solver
% 150.19/150.46
% 150.19/150.46 % prop_solver_calls: 3
% 150.19/150.46 % prop_fast_solver_calls: 451
% 150.19/150.46 % prop_num_of_clauses: 1654
% 150.19/150.46 % prop_preprocess_simplified: 5138
% 150.19/150.46 % prop_fo_subsumed: 116
% 150.19/150.46 % prop_solver_time: 0.
% 150.19/150.46 % prop_fast_solver_time: 0.
% 150.19/150.46 % prop_unsat_core_time: 0.
% 150.19/150.46
% 150.19/150.46 % ------ QBF
% 150.19/150.46
% 150.19/150.46 % qbf_q_res: 0
% 150.19/150.46 % qbf_num_tautologies: 0
% 150.19/150.46 % qbf_prep_cycles: 0
% 150.19/150.46
% 150.19/150.46 % ------ BMC1
% 150.19/150.46
% 150.19/150.46 % bmc1_current_bound: -1
% 150.19/150.46 % bmc1_last_solved_bound: -1
% 150.19/150.46 % bmc1_unsat_core_size: -1
% 150.19/150.46 % bmc1_unsat_core_parents_size: -1
% 150.19/150.46 % bmc1_merge_next_fun: 0
% 150.19/150.46 % bmc1_unsat_core_clauses_time: 0.
% 150.19/150.46
% 150.19/150.46 % ------ Instantiation
% 150.19/150.46
% 150.19/150.46 % inst_num_of_clauses: 1458
% 150.19/150.46 % inst_num_in_passive: 279
% 150.19/150.48 % inst_num_in_active: 890
% 150.19/150.48 % inst_num_in_unprocessed: 289
% 150.19/150.48 % inst_num_of_loops: 900
% 150.19/150.48 % inst_num_of_learning_restarts: 0
% 150.19/150.48 % inst_num_moves_active_passive: 9
% 150.19/150.48 % inst_lit_activity: 186
% 150.19/150.48 % inst_lit_activity_moves: 0
% 150.19/150.48 % inst_num_tautologies: 0
% 150.19/150.48 % inst_num_prop_implied: 0
% 150.19/150.48 % inst_num_existing_simplified: 0
% 150.19/150.48 % inst_num_eq_res_simplified: 0
% 150.19/150.48 % inst_num_child_elim: 0
% 150.19/150.48 % inst_num_of_dismatching_blockings: 48
% 150.19/150.48 % inst_num_of_non_proper_insts: 598
% 150.19/150.48 % inst_num_of_duplicates: 1423
% 150.19/150.48 % inst_inst_num_from_inst_to_res: 0
% 150.19/150.48 % inst_dismatching_checking_time: 0.
% 150.19/150.48
% 150.19/150.48 % ------ Resolution
% 150.19/150.48
% 150.19/150.48 % res_num_of_clauses: 1324843
% 150.19/150.48 % res_num_in_passive: 1320445
% 150.19/150.48 % res_num_in_active: 3713
% 150.19/150.48 % res_num_of_loops: 3641
% 150.19/150.48 % res_forward_subset_subsumed: 172025
% 150.19/150.48 % res_backward_subset_subsumed: 33
% 150.19/150.48 % res_forward_subsumed: 251
% 150.19/150.48 % res_backward_subsumed: 14
% 150.19/150.48 % res_forward_subsumption_resolution: 454
% 150.19/150.48 % res_backward_subsumption_resolution: 0
% 150.19/150.48 % res_clause_to_clause_subsumption: 25724
% 150.19/150.48 % res_orphan_elimination: 0
% 150.19/150.48 % res_tautology_del: 8600
% 150.19/150.48 % res_num_eq_res_simplified: 0
% 150.19/150.48 % res_num_sel_changes: 0
% 150.19/150.48 % res_moves_from_active_to_pass: 0
% 150.19/150.48
% 150.19/150.48 % Status Unknown
% 150.31/150.57 % Orienting using strategy ClausalAll
% 150.31/150.57 % FOF problem with conjecture
% 150.31/150.57 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8c97ed.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_abcd71 | grep -v "SZS"
% 150.40/150.59
% 150.40/150.59 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.40/150.59
% 150.40/150.59 %
% 150.40/150.59 % ------ iProver source info
% 150.40/150.59
% 150.40/150.59 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.40/150.59 % git: non_committed_changes: true
% 150.40/150.59 % git: last_make_outside_of_git: true
% 150.40/150.59
% 150.40/150.59 %
% 150.40/150.59 % ------ Input Options
% 150.40/150.59
% 150.40/150.59 % --out_options all
% 150.40/150.59 % --tptp_safe_out true
% 150.40/150.59 % --problem_path ""
% 150.40/150.59 % --include_path ""
% 150.40/150.59 % --clausifier .//eprover
% 150.40/150.59 % --clausifier_options --tstp-format
% 150.40/150.59 % --stdin false
% 150.40/150.59 % --dbg_backtrace false
% 150.40/150.59 % --dbg_dump_prop_clauses false
% 150.40/150.59 % --dbg_dump_prop_clauses_file -
% 150.40/150.59 % --dbg_out_stat false
% 150.40/150.59
% 150.40/150.59 % ------ General Options
% 150.40/150.59
% 150.40/150.59 % --fof false
% 150.40/150.59 % --time_out_real 150.
% 150.40/150.59 % --time_out_prep_mult 0.2
% 150.40/150.59 % --time_out_virtual -1.
% 150.40/150.59 % --schedule none
% 150.40/150.59 % --ground_splitting input
% 150.40/150.59 % --splitting_nvd 16
% 150.40/150.59 % --non_eq_to_eq false
% 150.40/150.59 % --prep_gs_sim true
% 150.40/150.59 % --prep_unflatten false
% 150.40/150.59 % --prep_res_sim true
% 150.40/150.59 % --prep_upred true
% 150.40/150.59 % --res_sim_input true
% 150.40/150.59 % --clause_weak_htbl true
% 150.40/150.59 % --gc_record_bc_elim false
% 150.40/150.59 % --symbol_type_check false
% 150.40/150.59 % --clausify_out false
% 150.40/150.59 % --large_theory_mode false
% 150.40/150.59 % --prep_sem_filter none
% 150.40/150.59 % --prep_sem_filter_out false
% 150.40/150.59 % --preprocessed_out false
% 150.40/150.59 % --sub_typing false
% 150.40/150.59 % --brand_transform false
% 150.40/150.59 % --pure_diseq_elim true
% 150.40/150.59 % --min_unsat_core false
% 150.40/150.59 % --pred_elim true
% 150.40/150.59 % --add_important_lit false
% 150.40/150.59 % --soft_assumptions false
% 150.40/150.59 % --reset_solvers false
% 150.40/150.59 % --bc_imp_inh []
% 150.40/150.59 % --conj_cone_tolerance 1.5
% 150.40/150.59 % --prolific_symb_bound 500
% 150.40/150.59 % --lt_threshold 2000
% 150.40/150.59
% 150.40/150.59 % ------ SAT Options
% 150.40/150.59
% 150.40/150.59 % --sat_mode false
% 150.40/150.59 % --sat_fm_restart_options ""
% 150.40/150.59 % --sat_gr_def false
% 150.40/150.59 % --sat_epr_types true
% 150.40/150.59 % --sat_non_cyclic_types false
% 150.40/150.59 % --sat_finite_models false
% 150.40/150.59 % --sat_fm_lemmas false
% 150.40/150.59 % --sat_fm_prep false
% 150.40/150.59 % --sat_fm_uc_incr true
% 150.40/150.59 % --sat_out_model small
% 150.40/150.59 % --sat_out_clauses false
% 150.40/150.59
% 150.40/150.59 % ------ QBF Options
% 150.40/150.59
% 150.40/150.59 % --qbf_mode false
% 150.40/150.59 % --qbf_elim_univ true
% 150.40/150.59 % --qbf_sk_in true
% 150.40/150.59 % --qbf_pred_elim true
% 150.40/150.59 % --qbf_split 32
% 150.40/150.59
% 150.40/150.59 % ------ BMC1 Options
% 150.40/150.59
% 150.40/150.59 % --bmc1_incremental false
% 150.40/150.59 % --bmc1_axioms reachable_all
% 150.40/150.59 % --bmc1_min_bound 0
% 150.40/150.59 % --bmc1_max_bound -1
% 150.40/150.59 % --bmc1_max_bound_default -1
% 150.40/150.59 % --bmc1_symbol_reachability true
% 150.40/150.59 % --bmc1_property_lemmas false
% 150.40/150.59 % --bmc1_k_induction false
% 150.40/150.59 % --bmc1_non_equiv_states false
% 150.40/150.59 % --bmc1_deadlock false
% 150.40/150.59 % --bmc1_ucm false
% 150.40/150.59 % --bmc1_add_unsat_core none
% 150.40/150.59 % --bmc1_unsat_core_children false
% 150.40/150.59 % --bmc1_unsat_core_extrapolate_axioms false
% 150.40/150.59 % --bmc1_out_stat full
% 150.40/150.59 % --bmc1_ground_init false
% 150.40/150.59 % --bmc1_pre_inst_next_state false
% 150.40/150.59 % --bmc1_pre_inst_state false
% 150.40/150.59 % --bmc1_pre_inst_reach_state false
% 150.40/150.59 % --bmc1_out_unsat_core false
% 150.40/150.59 % --bmc1_aig_witness_out false
% 150.40/150.59 % --bmc1_verbose false
% 150.40/150.59 % --bmc1_dump_clauses_tptp false
% 150.67/151.08 % --bmc1_dump_unsat_core_tptp false
% 150.67/151.08 % --bmc1_dump_file -
% 150.67/151.08 % --bmc1_ucm_expand_uc_limit 128
% 150.67/151.08 % --bmc1_ucm_n_expand_iterations 6
% 150.67/151.08 % --bmc1_ucm_extend_mode 1
% 150.67/151.08 % --bmc1_ucm_init_mode 2
% 150.67/151.08 % --bmc1_ucm_cone_mode none
% 150.67/151.08 % --bmc1_ucm_reduced_relation_type 0
% 150.67/151.08 % --bmc1_ucm_relax_model 4
% 150.67/151.08 % --bmc1_ucm_full_tr_after_sat true
% 150.67/151.08 % --bmc1_ucm_expand_neg_assumptions false
% 150.67/151.08 % --bmc1_ucm_layered_model none
% 150.67/151.08 % --bmc1_ucm_max_lemma_size 10
% 150.67/151.08
% 150.67/151.08 % ------ AIG Options
% 150.67/151.08
% 150.67/151.08 % --aig_mode false
% 150.67/151.08
% 150.67/151.08 % ------ Instantiation Options
% 150.67/151.08
% 150.67/151.08 % --instantiation_flag true
% 150.67/151.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.67/151.08 % --inst_solver_per_active 750
% 150.67/151.08 % --inst_solver_calls_frac 0.5
% 150.67/151.08 % --inst_passive_queue_type priority_queues
% 150.67/151.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.67/151.08 % --inst_passive_queues_freq [25;2]
% 150.67/151.08 % --inst_dismatching true
% 150.67/151.08 % --inst_eager_unprocessed_to_passive true
% 150.67/151.08 % --inst_prop_sim_given true
% 150.67/151.08 % --inst_prop_sim_new false
% 150.67/151.08 % --inst_orphan_elimination true
% 150.67/151.08 % --inst_learning_loop_flag true
% 150.67/151.08 % --inst_learning_start 3000
% 150.67/151.08 % --inst_learning_factor 2
% 150.67/151.08 % --inst_start_prop_sim_after_learn 3
% 150.67/151.08 % --inst_sel_renew solver
% 150.67/151.08 % --inst_lit_activity_flag true
% 150.67/151.08 % --inst_out_proof true
% 150.67/151.08
% 150.67/151.08 % ------ Resolution Options
% 150.67/151.08
% 150.67/151.08 % --resolution_flag true
% 150.67/151.08 % --res_lit_sel kbo_max
% 150.67/151.08 % --res_to_prop_solver none
% 150.67/151.08 % --res_prop_simpl_new false
% 150.67/151.08 % --res_prop_simpl_given false
% 150.67/151.08 % --res_passive_queue_type priority_queues
% 150.67/151.08 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.67/151.08 % --res_passive_queues_freq [15;5]
% 150.67/151.08 % --res_forward_subs full
% 150.67/151.08 % --res_backward_subs full
% 150.67/151.08 % --res_forward_subs_resolution true
% 150.67/151.08 % --res_backward_subs_resolution true
% 150.67/151.08 % --res_orphan_elimination false
% 150.67/151.08 % --res_time_limit 1000.
% 150.67/151.08 % --res_out_proof true
% 150.67/151.08 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s
% 150.67/151.08 % --modulo true
% 150.67/151.08
% 150.67/151.08 % ------ Combination Options
% 150.67/151.08
% 150.67/151.08 % --comb_res_mult 1000
% 150.67/151.08 % --comb_inst_mult 300
% 150.67/151.08 % ------
% 150.67/151.08
% 150.67/151.08 % ------ Parsing...% successful
% 150.67/151.08
% 150.67/151.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.67/151.08
% 150.67/151.08 % ------ Proving...
% 150.67/151.08 % ------ Problem Properties
% 150.67/151.08
% 150.67/151.08 %
% 150.67/151.08 % EPR false
% 150.67/151.08 % Horn false
% 150.67/151.08 % Has equality true
% 150.67/151.08
% 150.67/151.08 % % ------ Input Options Time Limit: Unbounded
% 150.67/151.08
% 150.67/151.08
% 150.67/151.08 Compiling...
% 150.67/151.08 Loading plugin: done.
% 150.67/151.08 Compiling...
% 150.67/151.08 Loading plugin: done.
% 150.67/151.08 Compiling...
% 150.67/151.08 Loading plugin: done.
% 150.67/151.08 % % ------ Current options:
% 150.67/151.08
% 150.67/151.08 % ------ Input Options
% 150.67/151.08
% 150.67/151.08 % --out_options all
% 150.67/151.08 % --tptp_safe_out true
% 150.67/151.08 % --problem_path ""
% 150.67/151.08 % --include_path ""
% 150.67/151.08 % --clausifier .//eprover
% 150.67/151.08 % --clausifier_options --tstp-format
% 150.67/151.08 % --stdin false
% 150.67/151.08 % --dbg_backtrace false
% 150.67/151.08 % --dbg_dump_prop_clauses false
% 150.67/151.08 % --dbg_dump_prop_clauses_file -
% 150.67/151.08 % --dbg_out_stat false
% 150.67/151.08
% 150.67/151.08 % ------ General Options
% 150.67/151.08
% 150.67/151.08 % --fof false
% 150.67/151.08 % --time_out_real 150.
% 150.67/151.08 % --time_out_prep_mult 0.2
% 150.67/151.08 % --time_out_virtual -1.
% 150.67/151.08 % --schedule none
% 150.67/151.08 % --ground_splitting input
% 150.67/151.08 % --splitting_nvd 16
% 150.67/151.08 % --non_eq_to_eq false
% 150.67/151.08 % --prep_gs_sim true
% 150.67/151.08 % --prep_unflatten false
% 150.67/151.08 % --prep_res_sim true
% 150.67/151.08 % --prep_upred true
% 150.67/151.08 % --res_sim_input true
% 150.67/151.08 % --clause_weak_htbl true
% 150.67/151.08 % --gc_record_bc_elim false
% 150.67/151.08 % --symbol_type_check false
% 150.67/151.08 % --clausify_out false
% 150.67/151.08 % --large_theory_mode false
% 150.67/151.08 % --prep_sem_filter none
% 150.67/151.08 % --prep_sem_filter_out false
% 150.67/151.08 % --preprocessed_out false
% 150.67/151.08 % --sub_typing false
% 150.67/151.08 % --brand_transform false
% 150.67/151.08 % --pure_diseq_elim true
% 150.67/151.08 % --min_unsat_core false
% 150.67/151.08 % --pred_elim true
% 150.67/151.08 % --add_important_lit false
% 150.67/151.08 % --soft_assumptions false
% 150.67/151.08 % --reset_solvers false
% 150.67/151.08 % --bc_imp_inh []
% 150.67/151.08 % --conj_cone_tolerance 1.5
% 150.67/151.08 % --prolific_symb_bound 500
% 150.67/151.08 % --lt_threshold 2000
% 150.67/151.08
% 150.67/151.08 % ------ SAT Options
% 150.67/151.08
% 150.67/151.08 % --sat_mode false
% 150.67/151.08 % --sat_fm_restart_options ""
% 150.67/151.08 % --sat_gr_def false
% 150.67/151.08 % --sat_epr_types true
% 150.67/151.08 % --sat_non_cyclic_types false
% 150.67/151.08 % --sat_finite_models false
% 150.67/151.08 % --sat_fm_lemmas false
% 150.67/151.08 % --sat_fm_prep false
% 150.67/151.08 % --sat_fm_uc_incr true
% 150.67/151.08 % --sat_out_model small
% 150.67/151.08 % --sat_out_clauses false
% 150.67/151.08
% 150.67/151.08 % ------ QBF Options
% 150.67/151.08
% 150.67/151.08 % --qbf_mode false
% 150.67/151.08 % --qbf_elim_univ true
% 150.67/151.08 % --qbf_sk_in true
% 150.67/151.08 % --qbf_pred_elim true
% 150.67/151.08 % --qbf_split 32
% 150.67/151.08
% 150.67/151.08 % ------ BMC1 Options
% 150.67/151.08
% 150.67/151.08 % --bmc1_incremental false
% 150.67/151.08 % --bmc1_axioms reachable_all
% 150.67/151.08 % --bmc1_min_bound 0
% 150.67/151.08 % --bmc1_max_bound -1
% 150.67/151.08 % --bmc1_max_bound_default -1
% 150.67/151.08 % --bmc1_symbol_reachability true
% 150.67/151.08 % --bmc1_property_lemmas false
% 150.67/151.08 % --bmc1_k_induction false
% 150.67/151.08 % --bmc1_non_equiv_states false
% 150.67/151.08 % --bmc1_deadlock false
% 150.67/151.08 % --bmc1_ucm false
% 150.67/151.08 % --bmc1_add_unsat_core none
% 150.67/151.08 % --bmc1_unsat_core_children false
% 150.67/151.08 % --bmc1_unsat_core_extrapolate_axioms false
% 150.67/151.08 % --bmc1_out_stat full
% 150.67/151.08 % --bmc1_ground_init false
% 150.67/151.08 % --bmc1_pre_inst_next_state false
% 150.67/151.08 % --bmc1_pre_inst_state false
% 150.67/151.08 % --bmc1_pre_inst_reach_state false
% 150.67/151.08 % --bmc1_out_unsat_core false
% 150.67/151.08 % --bmc1_aig_witness_out false
% 150.67/151.08 % --bmc1_verbose false
% 150.67/151.08 % --bmc1_dump_clauses_tptp false
% 150.67/151.08 % --bmc1_dump_unsat_core_tptp false
% 150.67/151.08 % --bmc1_dump_file -
% 150.67/151.08 % --bmc1_ucm_expand_uc_limit 128
% 150.67/151.08 % --bmc1_ucm_n_expand_iterations 6
% 150.67/151.08 % --bmc1_ucm_extend_mode 1
% 150.67/151.08 % --bmc1_ucm_init_mode 2
% 150.67/151.08 % --bmc1_ucm_cone_mode none
% 150.67/151.08 % --bmc1_ucm_reduced_relation_type 0
% 150.67/151.08 % --bmc1_ucm_relax_model 4
% 150.67/151.08 % --bmc1_ucm_full_tr_after_sat true
% 150.67/151.08 % --bmc1_ucm_expand_neg_assumptions false
% 150.67/151.08 % --bmc1_ucm_layered_model none
% 150.67/151.08 % --bmc1_ucm_max_lemma_size 10
% 150.67/151.08
% 150.67/151.08 % ------ AIG Options
% 150.67/151.08
% 150.67/151.08 % --aig_mode false
% 150.67/151.08
% 150.67/151.08 % ------ Instantiation Options
% 150.67/151.08
% 150.67/151.08 % --instantiation_flag true
% 150.67/151.08 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.67/151.08 % --inst_solver_per_active 750
% 150.67/151.08 % --inst_solver_calls_frac 0.5
% 150.67/151.08 % --inst_passive_queue_type priority_queues
% 150.67/151.08 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.67/151.08 % --inst_passive_queues_freq [25;2]
% 150.67/151.08 % --inst_dismatching true
% 256.47/256.72 % --inst_eager_unprocessed_to_passive true
% 256.47/256.72 % --inst_prop_sim_given true
% 256.47/256.72 % --inst_prop_sim_new false
% 256.47/256.72 % --inst_orphan_elimination true
% 256.47/256.72 % --inst_learning_loop_flag true
% 256.47/256.72 % --inst_learning_start 3000
% 256.47/256.72 % --inst_learning_factor 2
% 256.47/256.72 % --inst_start_prop_sim_after_learn 3
% 256.47/256.72 % --inst_sel_renew solver
% 256.47/256.72 % --inst_lit_activity_flag true
% 256.47/256.72 % --inst_out_proof true
% 256.47/256.72
% 256.47/256.72 % ------ Resolution Options
% 256.47/256.72
% 256.47/256.72 % --resolution_flag true
% 256.47/256.72 % --res_lit_sel kbo_max
% 256.47/256.72 % --res_to_prop_solver none
% 256.47/256.72 % --res_prop_simpl_new false
% 256.47/256.72 % --res_prop_simpl_given false
% 256.47/256.72 % --res_passive_queue_type priority_queues
% 256.47/256.72 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 256.47/256.72 % --res_passive_queues_freq [15;5]
% 256.47/256.72 % --res_forward_subs full
% 256.47/256.72 % --res_backward_subs full
% 256.47/256.72 % --res_forward_subs_resolution true
% 256.47/256.72 % --res_backward_subs_resolution true
% 256.47/256.72 % --res_orphan_elimination false
% 256.47/256.72 % --res_time_limit 1000.
% 256.47/256.72 % --res_out_proof true
% 256.47/256.72 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f2151e.s
% 256.47/256.72 % --modulo true
% 256.47/256.72
% 256.47/256.72 % ------ Combination Options
% 256.47/256.72
% 256.47/256.72 % --comb_res_mult 1000
% 256.47/256.72 % --comb_inst_mult 300
% 256.47/256.72 % ------
% 256.47/256.72
% 256.47/256.72
% 256.47/256.72
% 256.47/256.72 % ------ Proving...
% 256.47/256.72 %
% 256.47/256.72
% 256.47/256.72
% 256.47/256.72 % ------ Statistics
% 256.47/256.72
% 256.47/256.72 % ------ General
% 256.47/256.72
% 256.47/256.72 % num_of_input_clauses: 870
% 256.47/256.72 % num_of_input_neg_conjectures: 2
% 256.47/256.72 % num_of_splits: 0
% 256.47/256.72 % num_of_split_atoms: 0
% 256.47/256.72 % num_of_sem_filtered_clauses: 0
% 256.47/256.72 % num_of_subtypes: 0
% 256.47/256.72 % monotx_restored_types: 0
% 256.47/256.72 % sat_num_of_epr_types: 0
% 256.47/256.72 % sat_num_of_non_cyclic_types: 0
% 256.47/256.72 % sat_guarded_non_collapsed_types: 0
% 256.47/256.72 % is_epr: 0
% 256.47/256.72 % is_horn: 0
% 256.47/256.72 % has_eq: 1
% 256.47/256.72 % num_pure_diseq_elim: 0
% 256.47/256.72 % simp_replaced_by: 0
% 256.47/256.72 % res_preprocessed: 62
% 256.47/256.72 % prep_upred: 0
% 256.47/256.72 % prep_unflattend: 0
% 256.47/256.72 % pred_elim_cands: 0
% 256.47/256.72 % pred_elim: 0
% 256.47/256.72 % pred_elim_cl: 0
% 256.47/256.72 % pred_elim_cycles: 0
% 256.47/256.72 % forced_gc_time: 0
% 256.47/256.72 % gc_basic_clause_elim: 0
% 256.47/256.72 % parsing_time: 0.04
% 256.47/256.72 % sem_filter_time: 0.
% 256.47/256.72 % pred_elim_time: 0.
% 256.47/256.72 % out_proof_time: 0.005
% 256.47/256.72 % monotx_time: 0.
% 256.47/256.72 % subtype_inf_time: 0.
% 256.47/256.72 % unif_index_cands_time: 0.311
% 256.47/256.72 % unif_index_add_time: 0.027
% 256.47/256.72 % total_time: 106.144
% 256.47/256.72 % num_of_symbols: 101
% 256.47/256.72 % num_of_terms: 504960
% 256.47/256.72
% 256.47/256.72 % ------ Propositional Solver
% 256.47/256.72
% 256.47/256.72 % prop_solver_calls: 5
% 256.47/256.72 % prop_fast_solver_calls: 451
% 256.47/256.72 % prop_num_of_clauses: 2570
% 256.47/256.72 % prop_preprocess_simplified: 7560
% 256.47/256.72 % prop_fo_subsumed: 116
% 256.47/256.72 % prop_solver_time: 0.001
% 256.47/256.72 % prop_fast_solver_time: 0.
% 256.47/256.72 % prop_unsat_core_time: 0.
% 256.47/256.72
% 256.47/256.72 % ------ QBF
% 256.47/256.72
% 256.47/256.72 % qbf_q_res: 0
% 256.47/256.72 % qbf_num_tautologies: 0
% 256.47/256.72 % qbf_prep_cycles: 0
% 256.47/256.72
% 256.47/256.72 % ------ BMC1
% 256.47/256.72
% 256.47/256.72 % bmc1_current_bound: -1
% 256.47/256.72 % bmc1_last_solved_bound: -1
% 256.47/256.72 % bmc1_unsat_core_size: -1
% 256.47/256.72 % bmc1_unsat_core_parents_size: -1
% 256.47/256.72 % bmc1_merge_next_fun: 0
% 256.47/256.72 % bmc1_unsat_core_clauses_time: 0.
% 256.47/256.72
% 256.47/256.72 % ------ Instantiation
% 256.47/256.72
% 256.47/256.72 % inst_num_of_clauses: 2406
% 256.47/256.72 % inst_num_in_passive: 104
% 256.47/256.72 % inst_num_in_active: 1483
% 256.47/256.73 % inst_num_in_unprocessed: 806
% 256.47/256.73 % inst_num_of_loops: 1519
% 256.47/256.73 % inst_num_of_learning_restarts: 0
% 256.47/256.73 % inst_num_moves_active_passive: 21
% 256.47/256.73 % inst_lit_activity: 168
% 256.47/256.73 % inst_lit_activity_moves: 0
% 256.47/256.73 % inst_num_tautologies: 13
% 256.47/256.73 % inst_num_prop_implied: 0
% 256.47/256.73 % inst_num_existing_simplified: 0
% 256.47/256.73 % inst_num_eq_res_simplified: 0
% 256.47/256.73 % inst_num_child_elim: 0
% 256.47/256.73 % inst_num_of_dismatching_blockings: 759
% 256.47/256.73 % inst_num_of_non_proper_insts: 3245
% 256.47/256.73 % inst_num_of_duplicates: 1486
% 256.47/256.73 % inst_inst_num_from_inst_to_res: 0
% 256.47/256.73 % inst_dismatching_checking_time: 0.002
% 256.47/256.73
% 256.47/256.73 % ------ Resolution
% 256.47/256.73
% 256.47/256.73 % res_num_of_clauses: 1305455
% 256.47/256.73 % res_num_in_passive: 1314692
% 256.47/256.73 % res_num_in_active: 5467
% 256.47/256.73 % res_num_of_loops: 6000
% 256.47/256.73 % res_forward_subset_subsumed: 274242
% 256.47/256.73 % res_backward_subset_subsumed: 15896
% 256.47/256.73 % res_forward_subsumed: 685
% 256.47/256.73 % res_backward_subsumed: 107
% 256.47/256.73 % res_forward_subsumption_resolution: 737
% 256.47/256.73 % res_backward_subsumption_resolution: 1
% 256.47/256.73 % res_clause_to_clause_subsumption: 99437
% 256.47/256.73 % res_orphan_elimination: 0
% 256.47/256.73 % res_tautology_del: 30894
% 256.47/256.73 % res_num_eq_res_simplified: 0
% 256.47/256.73 % res_num_sel_changes: 0
% 256.47/256.73 % res_moves_from_active_to_pass: 0
% 256.47/256.73
% 256.47/256.73 % Status Unsatisfiable
% 256.47/256.73 % SZS status Theorem
% 256.47/256.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------