TSTP Solution File: SWV163+1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n017.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 19:08:18 EDT 2022
% Result : Theorem 70.89s 71.15s
% Output : CNFRefutation 70.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
input ).
fof(successor_3_0,plain,
( succ(succ(succ(n0))) = n3
| $false ),
inference(orientation,[status(thm)],[successor_3]) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
input ).
fof(successor_2_0,plain,
( succ(succ(n0)) = n2
| $false ),
inference(orientation,[status(thm)],[successor_2]) ).
fof(successor_1,axiom,
succ(n0) = n1,
input ).
fof(successor_1_0,plain,
( succ(n0) = n1
| $false ),
inference(orientation,[status(thm)],[successor_1]) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
input ).
fof(successor_5_0,plain,
( succ(succ(succ(succ(succ(n0))))) = n5
| $false ),
inference(orientation,[status(thm)],[successor_5]) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
input ).
fof(successor_4_0,plain,
( succ(succ(succ(succ(n0)))) = n4
| $false ),
inference(orientation,[status(thm)],[successor_4]) ).
fof(finite_domain_0,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> X = n0 ),
input ).
fof(finite_domain_0_0,plain,
! [X] :
( X = n0
| ~ ( leq(n0,X)
& leq(X,n0) ) ),
inference(orientation,[status(thm)],[finite_domain_0]) ).
fof(gt_135299_3,axiom,
gt(n135299,n3),
input ).
fof(gt_135299_3_0,plain,
( gt(n135299,n3)
| $false ),
inference(orientation,[status(thm)],[gt_135299_3]) ).
fof(gt_5_3,axiom,
gt(n5,n3),
input ).
fof(gt_5_3_0,plain,
( gt(n5,n3)
| $false ),
inference(orientation,[status(thm)],[gt_5_3]) ).
fof(gt_4_3,axiom,
gt(n4,n3),
input ).
fof(gt_4_3_0,plain,
( gt(n4,n3)
| $false ),
inference(orientation,[status(thm)],[gt_4_3]) ).
fof(gt_3_2,axiom,
gt(n3,n2),
input ).
fof(gt_3_2_0,plain,
( gt(n3,n2)
| $false ),
inference(orientation,[status(thm)],[gt_3_2]) ).
fof(gt_135299_2,axiom,
gt(n135299,n2),
input ).
fof(gt_135299_2_0,plain,
( gt(n135299,n2)
| $false ),
inference(orientation,[status(thm)],[gt_135299_2]) ).
fof(gt_5_2,axiom,
gt(n5,n2),
input ).
fof(gt_5_2_0,plain,
( gt(n5,n2)
| $false ),
inference(orientation,[status(thm)],[gt_5_2]) ).
fof(gt_4_2,axiom,
gt(n4,n2),
input ).
fof(gt_4_2_0,plain,
( gt(n4,n2)
| $false ),
inference(orientation,[status(thm)],[gt_4_2]) ).
fof(gt_3_1,axiom,
gt(n3,n1),
input ).
fof(gt_3_1_0,plain,
( gt(n3,n1)
| $false ),
inference(orientation,[status(thm)],[gt_3_1]) ).
fof(gt_2_1,axiom,
gt(n2,n1),
input ).
fof(gt_2_1_0,plain,
( gt(n2,n1)
| $false ),
inference(orientation,[status(thm)],[gt_2_1]) ).
fof(gt_135299_1,axiom,
gt(n135299,n1),
input ).
fof(gt_135299_1_0,plain,
( gt(n135299,n1)
| $false ),
inference(orientation,[status(thm)],[gt_135299_1]) ).
fof(gt_5_1,axiom,
gt(n5,n1),
input ).
fof(gt_5_1_0,plain,
( gt(n5,n1)
| $false ),
inference(orientation,[status(thm)],[gt_5_1]) ).
fof(gt_4_1,axiom,
gt(n4,n1),
input ).
fof(gt_4_1_0,plain,
( gt(n4,n1)
| $false ),
inference(orientation,[status(thm)],[gt_4_1]) ).
fof(gt_3_0,axiom,
gt(n3,n0),
input ).
fof(gt_3_0_0,plain,
( gt(n3,n0)
| $false ),
inference(orientation,[status(thm)],[gt_3_0]) ).
fof(gt_2_0,axiom,
gt(n2,n0),
input ).
fof(gt_2_0_0,plain,
( gt(n2,n0)
| $false ),
inference(orientation,[status(thm)],[gt_2_0]) ).
fof(gt_1_0,axiom,
gt(n1,n0),
input ).
fof(gt_1_0_0,plain,
( gt(n1,n0)
| $false ),
inference(orientation,[status(thm)],[gt_1_0]) ).
fof(gt_135299_0,axiom,
gt(n135299,n0),
input ).
fof(gt_135299_0_0,plain,
( gt(n135299,n0)
| $false ),
inference(orientation,[status(thm)],[gt_135299_0]) ).
fof(gt_5_0,axiom,
gt(n5,n0),
input ).
fof(gt_5_0_0,plain,
( gt(n5,n0)
| $false ),
inference(orientation,[status(thm)],[gt_5_0]) ).
fof(gt_4_0,axiom,
gt(n4,n0),
input ).
fof(gt_4_0_0,plain,
( gt(n4,n0)
| $false ),
inference(orientation,[status(thm)],[gt_4_0]) ).
fof(gt_3_tptp_minus_1,axiom,
gt(n3,tptp_minus_1),
input ).
fof(gt_3_tptp_minus_1_0,plain,
( gt(n3,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_3_tptp_minus_1]) ).
fof(gt_2_tptp_minus_1,axiom,
gt(n2,tptp_minus_1),
input ).
fof(gt_2_tptp_minus_1_0,plain,
( gt(n2,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_2_tptp_minus_1]) ).
fof(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
input ).
fof(gt_1_tptp_minus_1_0,plain,
( gt(n1,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_1_tptp_minus_1]) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
input ).
fof(gt_0_tptp_minus_1_0,plain,
( gt(n0,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_0_tptp_minus_1]) ).
fof(gt_135299_tptp_minus_1,axiom,
gt(n135299,tptp_minus_1),
input ).
fof(gt_135299_tptp_minus_1_0,plain,
( gt(n135299,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_135299_tptp_minus_1]) ).
fof(gt_5_tptp_minus_1,axiom,
gt(n5,tptp_minus_1),
input ).
fof(gt_5_tptp_minus_1_0,plain,
( gt(n5,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_5_tptp_minus_1]) ).
fof(gt_4_tptp_minus_1,axiom,
gt(n4,tptp_minus_1),
input ).
fof(gt_4_tptp_minus_1_0,plain,
( gt(n4,tptp_minus_1)
| $false ),
inference(orientation,[status(thm)],[gt_4_tptp_minus_1]) ).
fof(gt_135299_5,axiom,
gt(n135299,n5),
input ).
fof(gt_135299_5_0,plain,
( gt(n135299,n5)
| $false ),
inference(orientation,[status(thm)],[gt_135299_5]) ).
fof(gt_135299_4,axiom,
gt(n135299,n4),
input ).
fof(gt_135299_4_0,plain,
( gt(n135299,n4)
| $false ),
inference(orientation,[status(thm)],[gt_135299_4]) ).
fof(gt_5_4,axiom,
gt(n5,n4),
input ).
fof(gt_5_4_0,plain,
( gt(n5,n4)
| $false ),
inference(orientation,[status(thm)],[gt_5_4]) ).
fof(defuse,axiom,
def != use,
input ).
fof(defuse_0,plain,
( def != use
| $false ),
inference(orientation,[status(thm)],[defuse]) ).
fof(ttrue,axiom,
true,
input ).
fof(ttrue_0,plain,
( true
| $false ),
inference(orientation,[status(thm)],[ttrue]) ).
fof(sel2_update_3,axiom,
! [I,U,X,VAL] :
( ( ! [I0] :
( ( leq(n0,I0)
& leq(I0,U) )
=> a_select2(X,I0) = VAL )
& leq(n0,I)
& leq(I,U) )
=> a_select2(tptp_update2(X,U,VAL),I) = VAL ),
input ).
fof(sel2_update_3_0,plain,
! [I,U,VAL,X] :
( a_select2(tptp_update2(X,U,VAL),I) = VAL
| ~ ( ! [I0] :
( ( leq(n0,I0)
& leq(I0,U) )
=> a_select2(X,I0) = VAL )
& leq(n0,I)
& leq(I,U) ) ),
inference(orientation,[status(thm)],[sel2_update_3]) ).
fof(sel2_update_2,axiom,
! [I,U,X,VAL,VAL2] :
( ( I != U
& a_select2(X,U) = VAL )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
input ).
fof(sel2_update_2_0,plain,
! [I,U,VAL,VAL2,X] :
( a_select2(tptp_update2(X,I,VAL2),U) = VAL
| ~ ( I != U
& a_select2(X,U) = VAL ) ),
inference(orientation,[status(thm)],[sel2_update_2]) ).
fof(sel2_update_1,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
input ).
fof(sel2_update_1_0,plain,
! [U,VAL,X] :
( a_select2(tptp_update2(X,U,VAL),U) = VAL
| $false ),
inference(orientation,[status(thm)],[sel2_update_1]) ).
fof(sel3_update_3,axiom,
! [I,J,U,V,X,VAL] :
( ( ! [I0,J0] :
( ( leq(n0,I0)
& leq(n0,J0)
& leq(I0,U)
& leq(J0,V) )
=> a_select3(X,I0,J0) = VAL )
& leq(n0,I)
& leq(I,U)
& leq(n0,J)
& leq(J,V) )
=> a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL ),
input ).
fof(sel3_update_3_0,plain,
! [I,J,U,V,VAL,X] :
( a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL
| ~ ( ! [I0,J0] :
( ( leq(n0,I0)
& leq(n0,J0)
& leq(I0,U)
& leq(J0,V) )
=> a_select3(X,I0,J0) = VAL )
& leq(n0,I)
& leq(I,U)
& leq(n0,J)
& leq(J,V) ) ),
inference(orientation,[status(thm)],[sel3_update_3]) ).
fof(sel3_update_2,axiom,
! [I,J,U,V,X,VAL,VAL2] :
( ( I != U
& J = V
& a_select3(X,U,V) = VAL )
=> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ),
input ).
fof(sel3_update_2_0,plain,
! [I,J,U,V,VAL,VAL2,X] :
( a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL
| ~ ( I != U
& J = V
& a_select3(X,U,V) = VAL ) ),
inference(orientation,[status(thm)],[sel3_update_2]) ).
fof(sel3_update_1,axiom,
! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL,
input ).
fof(sel3_update_1_0,plain,
! [U,V,VAL,X] :
( a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL
| $false ),
inference(orientation,[status(thm)],[sel3_update_1]) ).
fof(leq_minus,axiom,
! [X,Y] :
( leq(minus(X,Y),X)
=> leq(n0,Y) ),
input ).
fof(leq_minus_0,plain,
! [X,Y] :
( ~ leq(minus(X,Y),X)
| leq(n0,Y) ),
inference(orientation,[status(thm)],[leq_minus]) ).
fof(leq_succ_gt,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
input ).
fof(leq_succ_gt_0,plain,
! [X,Y] :
( ~ leq(succ(X),Y)
| gt(Y,X) ),
inference(orientation,[status(thm)],[leq_succ_gt]) ).
fof(leq_succ_succ,axiom,
! [X,Y] :
( leq(succ(X),succ(Y))
<=> leq(X,Y) ),
input ).
fof(leq_succ_succ_0,plain,
! [X,Y] :
( leq(succ(X),succ(Y))
| ~ leq(X,Y) ),
inference(orientation,[status(thm)],[leq_succ_succ]) ).
fof(leq_succ_succ_1,plain,
! [X,Y] :
( ~ leq(succ(X),succ(Y))
| leq(X,Y) ),
inference(orientation,[status(thm)],[leq_succ_succ]) ).
fof(succ_pred,axiom,
! [X] : succ(pred(X)) = X,
input ).
fof(succ_pred_0,plain,
! [X] :
( succ(pred(X)) = X
| $false ),
inference(orientation,[status(thm)],[succ_pred]) ).
fof(pred_succ,axiom,
! [X] : pred(succ(X)) = X,
input ).
fof(pred_succ_0,plain,
! [X] :
( pred(succ(X)) = X
| $false ),
inference(orientation,[status(thm)],[pred_succ]) ).
fof(pred_minus_1,axiom,
! [X] : minus(X,n1) = pred(X),
input ).
fof(pred_minus_1_0,plain,
! [X] :
( minus(X,n1) = pred(X)
| $false ),
inference(orientation,[status(thm)],[pred_minus_1]) ).
fof(succ_plus_5_l,axiom,
! [X] : plus(n5,X) = succ(succ(succ(succ(succ(X))))),
input ).
fof(succ_plus_5_l_0,plain,
! [X] :
( plus(n5,X) = succ(succ(succ(succ(succ(X)))))
| $false ),
inference(orientation,[status(thm)],[succ_plus_5_l]) ).
fof(succ_plus_5_r,axiom,
! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))),
input ).
fof(succ_plus_5_r_0,plain,
! [X] :
( plus(X,n5) = succ(succ(succ(succ(succ(X)))))
| $false ),
inference(orientation,[status(thm)],[succ_plus_5_r]) ).
fof(succ_plus_4_l,axiom,
! [X] : plus(n4,X) = succ(succ(succ(succ(X)))),
input ).
fof(succ_plus_4_l_0,plain,
! [X] :
( plus(n4,X) = succ(succ(succ(succ(X))))
| $false ),
inference(orientation,[status(thm)],[succ_plus_4_l]) ).
fof(succ_plus_4_r,axiom,
! [X] : plus(X,n4) = succ(succ(succ(succ(X)))),
input ).
fof(succ_plus_4_r_0,plain,
! [X] :
( plus(X,n4) = succ(succ(succ(succ(X))))
| $false ),
inference(orientation,[status(thm)],[succ_plus_4_r]) ).
fof(succ_plus_3_l,axiom,
! [X] : plus(n3,X) = succ(succ(succ(X))),
input ).
fof(succ_plus_3_l_0,plain,
! [X] :
( plus(n3,X) = succ(succ(succ(X)))
| $false ),
inference(orientation,[status(thm)],[succ_plus_3_l]) ).
fof(succ_plus_3_r,axiom,
! [X] : plus(X,n3) = succ(succ(succ(X))),
input ).
fof(succ_plus_3_r_0,plain,
! [X] :
( plus(X,n3) = succ(succ(succ(X)))
| $false ),
inference(orientation,[status(thm)],[succ_plus_3_r]) ).
fof(succ_plus_2_l,axiom,
! [X] : plus(n2,X) = succ(succ(X)),
input ).
fof(succ_plus_2_l_0,plain,
! [X] :
( plus(n2,X) = succ(succ(X))
| $false ),
inference(orientation,[status(thm)],[succ_plus_2_l]) ).
fof(succ_plus_2_r,axiom,
! [X] : plus(X,n2) = succ(succ(X)),
input ).
fof(succ_plus_2_r_0,plain,
! [X] :
( plus(X,n2) = succ(succ(X))
| $false ),
inference(orientation,[status(thm)],[succ_plus_2_r]) ).
fof(succ_plus_1_l,axiom,
! [X] : plus(n1,X) = succ(X),
input ).
fof(succ_plus_1_l_0,plain,
! [X] :
( plus(n1,X) = succ(X)
| $false ),
inference(orientation,[status(thm)],[succ_plus_1_l]) ).
fof(succ_plus_1_r,axiom,
! [X] : plus(X,n1) = succ(X),
input ).
fof(succ_plus_1_r_0,plain,
! [X] :
( plus(X,n1) = succ(X)
| $false ),
inference(orientation,[status(thm)],[succ_plus_1_r]) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
input ).
fof(succ_tptp_minus_1_0,plain,
( succ(tptp_minus_1) = n0
| $false ),
inference(orientation,[status(thm)],[succ_tptp_minus_1]) ).
fof(sum_plus_base_float,axiom,
! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body),
input ).
fof(sum_plus_base_float_0,plain,
! [Body] :
( sum(n0,tptp_minus_1,Body) = tptp_float_0_0
| $false ),
inference(orientation,[status(thm)],[sum_plus_base_float]) ).
fof(sum_plus_base,axiom,
! [Body] : sum(n0,tptp_minus_1,Body) = n0,
input ).
fof(sum_plus_base_0,plain,
! [Body] :
( sum(n0,tptp_minus_1,Body) = n0
| $false ),
inference(orientation,[status(thm)],[sum_plus_base]) ).
fof(const_array2_select,axiom,
! [I,L1,U1,J,L2,U2,Val] :
( ( leq(L1,I)
& leq(I,U1)
& leq(L2,J)
& leq(J,U2) )
=> a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val ),
input ).
fof(const_array2_select_0,plain,
! [I,J,L1,L2,U1,U2,Val] :
( a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val
| ~ ( leq(L1,I)
& leq(I,U1)
& leq(L2,J)
& leq(J,U2) ) ),
inference(orientation,[status(thm)],[const_array2_select]) ).
fof(const_array1_select,axiom,
! [I,L,U,Val] :
( ( leq(L,I)
& leq(I,U) )
=> a_select2(tptp_const_array1(dim(L,U),Val),I) = Val ),
input ).
fof(const_array1_select_0,plain,
! [I,L,U,Val] :
( a_select2(tptp_const_array1(dim(L,U),Val),I) = Val
| ~ ( leq(L,I)
& leq(I,U) ) ),
inference(orientation,[status(thm)],[const_array1_select]) ).
fof(uniform_int_rand_ranges_lo,axiom,
! [X,C] :
( leq(n0,X)
=> leq(n0,uniform_int_rnd(C,X)) ),
input ).
fof(uniform_int_rand_ranges_lo_0,plain,
! [C,X] :
( ~ leq(n0,X)
| leq(n0,uniform_int_rnd(C,X)) ),
inference(orientation,[status(thm)],[uniform_int_rand_ranges_lo]) ).
fof(uniform_int_rand_ranges_hi,axiom,
! [X,C] :
( leq(n0,X)
=> leq(uniform_int_rnd(C,X),X) ),
input ).
fof(uniform_int_rand_ranges_hi_0,plain,
! [C,X] :
( ~ leq(n0,X)
| leq(uniform_int_rnd(C,X),X) ),
inference(orientation,[status(thm)],[uniform_int_rand_ranges_hi]) ).
fof(leq_succ_gt_equiv,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
input ).
fof(leq_succ_gt_equiv_0,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(succ(Y),X) ),
inference(orientation,[status(thm)],[leq_succ_gt_equiv]) ).
fof(leq_succ_gt_equiv_1,plain,
! [X,Y] :
( ~ leq(X,Y)
| gt(succ(Y),X) ),
inference(orientation,[status(thm)],[leq_succ_gt_equiv]) ).
fof(leq_succ,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
input ).
fof(leq_succ_0,plain,
! [X,Y] :
( ~ leq(X,Y)
| leq(X,succ(Y)) ),
inference(orientation,[status(thm)],[leq_succ]) ).
fof(gt_succ,axiom,
! [X] : gt(succ(X),X),
input ).
fof(gt_succ_0,plain,
! [X] :
( gt(succ(X),X)
| $false ),
inference(orientation,[status(thm)],[gt_succ]) ).
fof(leq_gt_pred,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
input ).
fof(leq_gt_pred_0,plain,
! [X,Y] :
( leq(X,pred(Y))
| ~ gt(Y,X) ),
inference(orientation,[status(thm)],[leq_gt_pred]) ).
fof(leq_gt_pred_1,plain,
! [X,Y] :
( ~ leq(X,pred(Y))
| gt(Y,X) ),
inference(orientation,[status(thm)],[leq_gt_pred]) ).
fof(leq_gt2,axiom,
! [X,Y] :
( ( leq(X,Y)
& X != Y )
=> gt(Y,X) ),
input ).
fof(leq_gt2_0,plain,
! [X,Y] :
( gt(Y,X)
| ~ ( leq(X,Y)
& X != Y ) ),
inference(orientation,[status(thm)],[leq_gt2]) ).
fof(leq_gt1,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
input ).
fof(leq_gt1_0,plain,
! [X,Y] :
( ~ gt(Y,X)
| leq(X,Y) ),
inference(orientation,[status(thm)],[leq_gt1]) ).
fof(leq_geq,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
input ).
fof(leq_geq_0,plain,
! [X,Y] :
( geq(X,Y)
| ~ leq(Y,X) ),
inference(orientation,[status(thm)],[leq_geq]) ).
fof(leq_geq_1,plain,
! [X,Y] :
( ~ geq(X,Y)
| leq(Y,X) ),
inference(orientation,[status(thm)],[leq_geq]) ).
fof(lt_gt,axiom,
! [X,Y] :
( lt(X,Y)
<=> gt(Y,X) ),
input ).
fof(lt_gt_0,plain,
! [X,Y] :
( lt(X,Y)
| ~ gt(Y,X) ),
inference(orientation,[status(thm)],[lt_gt]) ).
fof(lt_gt_1,plain,
! [X,Y] :
( ~ lt(X,Y)
| gt(Y,X) ),
inference(orientation,[status(thm)],[lt_gt]) ).
fof(transitivity_leq,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
input ).
fof(transitivity_leq_0,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ ( leq(X,Y)
& leq(Y,Z) ) ),
inference(orientation,[status(thm)],[transitivity_leq]) ).
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
input ).
fof(reflexivity_leq_0,plain,
! [X] :
( leq(X,X)
| $false ),
inference(orientation,[status(thm)],[reflexivity_leq]) ).
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
input ).
fof(irreflexivity_gt_0,plain,
! [X] :
( ~ gt(X,X)
| $false ),
inference(orientation,[status(thm)],[irreflexivity_gt]) ).
fof(transitivity_gt,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> gt(X,Z) ),
input ).
fof(transitivity_gt_0,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ ( gt(X,Y)
& gt(Y,Z) ) ),
inference(orientation,[status(thm)],[transitivity_gt]) ).
fof(def_lhs_atom1,axiom,
! [Z,X] :
( lhs_atom1(Z,X)
<=> gt(X,Z) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X,Y,Z] :
( lhs_atom1(Z,X)
| ~ ( gt(X,Y)
& gt(Y,Z) ) ),
inference(fold_definition,[status(thm)],[transitivity_gt_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X] :
( lhs_atom2(X)
<=> ~ gt(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X] :
( lhs_atom2(X)
| $false ),
inference(fold_definition,[status(thm)],[irreflexivity_gt_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [X] :
( lhs_atom3(X)
<=> leq(X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X] :
( lhs_atom3(X)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_leq_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [Z,X] :
( lhs_atom4(Z,X)
<=> leq(X,Z) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [X,Y,Z] :
( lhs_atom4(Z,X)
| ~ ( leq(X,Y)
& leq(Y,Z) ) ),
inference(fold_definition,[status(thm)],[transitivity_leq_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [Y,X] :
( lhs_atom5(Y,X)
<=> ~ lt(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [X,Y] :
( lhs_atom5(Y,X)
| gt(Y,X) ),
inference(fold_definition,[status(thm)],[lt_gt_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [Y,X] :
( lhs_atom6(Y,X)
<=> lt(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [X,Y] :
( lhs_atom6(Y,X)
| ~ gt(Y,X) ),
inference(fold_definition,[status(thm)],[lt_gt_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [Y,X] :
( lhs_atom7(Y,X)
<=> ~ geq(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [X,Y] :
( lhs_atom7(Y,X)
| leq(Y,X) ),
inference(fold_definition,[status(thm)],[leq_geq_1,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [Y,X] :
( lhs_atom8(Y,X)
<=> geq(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [X,Y] :
( lhs_atom8(Y,X)
| ~ leq(Y,X) ),
inference(fold_definition,[status(thm)],[leq_geq_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [Y,X] :
( lhs_atom9(Y,X)
<=> ~ gt(Y,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [X,Y] :
( lhs_atom9(Y,X)
| leq(X,Y) ),
inference(fold_definition,[status(thm)],[leq_gt1_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [Y,X] :
( lhs_atom10(Y,X)
<=> gt(Y,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [X,Y] :
( lhs_atom10(Y,X)
| ~ ( leq(X,Y)
& X != Y ) ),
inference(fold_definition,[status(thm)],[leq_gt2_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [Y,X] :
( lhs_atom11(Y,X)
<=> ~ leq(X,pred(Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [X,Y] :
( lhs_atom11(Y,X)
| gt(Y,X) ),
inference(fold_definition,[status(thm)],[leq_gt_pred_1,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [Y,X] :
( lhs_atom12(Y,X)
<=> leq(X,pred(Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [X,Y] :
( lhs_atom12(Y,X)
| ~ gt(Y,X) ),
inference(fold_definition,[status(thm)],[leq_gt_pred_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [X] :
( lhs_atom13(X)
<=> gt(succ(X),X) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [X] :
( lhs_atom13(X)
| $false ),
inference(fold_definition,[status(thm)],[gt_succ_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [Y,X] :
( lhs_atom14(Y,X)
<=> ~ leq(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [X,Y] :
( lhs_atom14(Y,X)
| leq(X,succ(Y)) ),
inference(fold_definition,[status(thm)],[leq_succ_0,def_lhs_atom14]) ).
fof(to_be_clausified_14,plain,
! [X,Y] :
( lhs_atom14(Y,X)
| gt(succ(Y),X) ),
inference(fold_definition,[status(thm)],[leq_succ_gt_equiv_1,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [Y,X] :
( lhs_atom15(Y,X)
<=> leq(X,Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [X,Y] :
( lhs_atom15(Y,X)
| ~ gt(succ(Y),X) ),
inference(fold_definition,[status(thm)],[leq_succ_gt_equiv_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [X] :
( lhs_atom16(X)
<=> ~ leq(n0,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [C,X] :
( lhs_atom16(X)
| leq(uniform_int_rnd(C,X),X) ),
inference(fold_definition,[status(thm)],[uniform_int_rand_ranges_hi_0,def_lhs_atom16]) ).
fof(to_be_clausified_17,plain,
! [C,X] :
( lhs_atom16(X)
| leq(n0,uniform_int_rnd(C,X)) ),
inference(fold_definition,[status(thm)],[uniform_int_rand_ranges_lo_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [Val,U,L,I] :
( lhs_atom17(Val,U,L,I)
<=> a_select2(tptp_const_array1(dim(L,U),Val),I) = Val ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [I,L,U,Val] :
( lhs_atom17(Val,U,L,I)
| ~ ( leq(L,I)
& leq(I,U) ) ),
inference(fold_definition,[status(thm)],[const_array1_select_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [Val,U2,U1,L2,L1,J,I] :
( lhs_atom18(Val,U2,U1,L2,L1,J,I)
<=> a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [I,J,L1,L2,U1,U2,Val] :
( lhs_atom18(Val,U2,U1,L2,L1,J,I)
| ~ ( leq(L1,I)
& leq(I,U1)
& leq(L2,J)
& leq(J,U2) ) ),
inference(fold_definition,[status(thm)],[const_array2_select_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [Body] :
( lhs_atom19(Body)
<=> sum(n0,tptp_minus_1,Body) = n0 ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [Body] :
( lhs_atom19(Body)
| $false ),
inference(fold_definition,[status(thm)],[sum_plus_base_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [Body] :
( lhs_atom20(Body)
<=> sum(n0,tptp_minus_1,Body) = tptp_float_0_0 ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [Body] :
( lhs_atom20(Body)
| $false ),
inference(fold_definition,[status(thm)],[sum_plus_base_float_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
( lhs_atom21
<=> succ(tptp_minus_1) = n0 ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
( lhs_atom21
| $false ),
inference(fold_definition,[status(thm)],[succ_tptp_minus_1_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [X] :
( lhs_atom22(X)
<=> plus(X,n1) = succ(X) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [X] :
( lhs_atom22(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_1_r_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [X] :
( lhs_atom23(X)
<=> plus(n1,X) = succ(X) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [X] :
( lhs_atom23(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_1_l_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [X] :
( lhs_atom24(X)
<=> plus(X,n2) = succ(succ(X)) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [X] :
( lhs_atom24(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_2_r_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [X] :
( lhs_atom25(X)
<=> plus(n2,X) = succ(succ(X)) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [X] :
( lhs_atom25(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_2_l_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [X] :
( lhs_atom26(X)
<=> plus(X,n3) = succ(succ(succ(X))) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [X] :
( lhs_atom26(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_3_r_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [X] :
( lhs_atom27(X)
<=> plus(n3,X) = succ(succ(succ(X))) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [X] :
( lhs_atom27(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_3_l_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [X] :
( lhs_atom28(X)
<=> plus(X,n4) = succ(succ(succ(succ(X)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [X] :
( lhs_atom28(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_4_r_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [X] :
( lhs_atom29(X)
<=> plus(n4,X) = succ(succ(succ(succ(X)))) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [X] :
( lhs_atom29(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_4_l_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [X] :
( lhs_atom30(X)
<=> plus(X,n5) = succ(succ(succ(succ(succ(X))))) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [X] :
( lhs_atom30(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_5_r_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [X] :
( lhs_atom31(X)
<=> plus(n5,X) = succ(succ(succ(succ(succ(X))))) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [X] :
( lhs_atom31(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_plus_5_l_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [X] :
( lhs_atom32(X)
<=> minus(X,n1) = pred(X) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [X] :
( lhs_atom32(X)
| $false ),
inference(fold_definition,[status(thm)],[pred_minus_1_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [X] :
( lhs_atom33(X)
<=> pred(succ(X)) = X ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [X] :
( lhs_atom33(X)
| $false ),
inference(fold_definition,[status(thm)],[pred_succ_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [X] :
( lhs_atom34(X)
<=> succ(pred(X)) = X ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [X] :
( lhs_atom34(X)
| $false ),
inference(fold_definition,[status(thm)],[succ_pred_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [Y,X] :
( lhs_atom35(Y,X)
<=> ~ leq(succ(X),succ(Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [X,Y] :
( lhs_atom35(Y,X)
| leq(X,Y) ),
inference(fold_definition,[status(thm)],[leq_succ_succ_1,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
! [Y,X] :
( lhs_atom36(Y,X)
<=> leq(succ(X),succ(Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [X,Y] :
( lhs_atom36(Y,X)
| ~ leq(X,Y) ),
inference(fold_definition,[status(thm)],[leq_succ_succ_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [Y,X] :
( lhs_atom37(Y,X)
<=> ~ leq(succ(X),Y) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [X,Y] :
( lhs_atom37(Y,X)
| gt(Y,X) ),
inference(fold_definition,[status(thm)],[leq_succ_gt_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [Y,X] :
( lhs_atom38(Y,X)
<=> ~ leq(minus(X,Y),X) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
! [X,Y] :
( lhs_atom38(Y,X)
| leq(n0,Y) ),
inference(fold_definition,[status(thm)],[leq_minus_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [X,VAL,V,U] :
( lhs_atom39(X,VAL,V,U)
<=> a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
! [U,V,VAL,X] :
( lhs_atom39(X,VAL,V,U)
| $false ),
inference(fold_definition,[status(thm)],[sel3_update_1_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [X,VAL2,VAL,V,U,J,I] :
( lhs_atom40(X,VAL2,VAL,V,U,J,I)
<=> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [I,J,U,V,VAL,VAL2,X] :
( lhs_atom40(X,VAL2,VAL,V,U,J,I)
| ~ ( I != U
& J = V
& a_select3(X,U,V) = VAL ) ),
inference(fold_definition,[status(thm)],[sel3_update_2_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [X,VAL,V,U,J,I] :
( lhs_atom41(X,VAL,V,U,J,I)
<=> a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
! [I,J,U,V,VAL,X] :
( lhs_atom41(X,VAL,V,U,J,I)
| ~ ( ! [I0,J0] :
( ( leq(n0,I0)
& leq(n0,J0)
& leq(I0,U)
& leq(J0,V) )
=> a_select3(X,I0,J0) = VAL )
& leq(n0,I)
& leq(I,U)
& leq(n0,J)
& leq(J,V) ) ),
inference(fold_definition,[status(thm)],[sel3_update_3_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [X,VAL,U] :
( lhs_atom42(X,VAL,U)
<=> a_select2(tptp_update2(X,U,VAL),U) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
! [U,VAL,X] :
( lhs_atom42(X,VAL,U)
| $false ),
inference(fold_definition,[status(thm)],[sel2_update_1_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [X,VAL2,VAL,U,I] :
( lhs_atom43(X,VAL2,VAL,U,I)
<=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
! [I,U,VAL,VAL2,X] :
( lhs_atom43(X,VAL2,VAL,U,I)
| ~ ( I != U
& a_select2(X,U) = VAL ) ),
inference(fold_definition,[status(thm)],[sel2_update_2_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [X,VAL,U,I] :
( lhs_atom44(X,VAL,U,I)
<=> a_select2(tptp_update2(X,U,VAL),I) = VAL ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
! [I,U,VAL,X] :
( lhs_atom44(X,VAL,U,I)
| ~ ( ! [I0] :
( ( leq(n0,I0)
& leq(I0,U) )
=> a_select2(X,I0) = VAL )
& leq(n0,I)
& leq(I,U) ) ),
inference(fold_definition,[status(thm)],[sel2_update_3_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
( lhs_atom45
<=> true ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
( lhs_atom45
| $false ),
inference(fold_definition,[status(thm)],[ttrue_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
( lhs_atom46
<=> def != use ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
( lhs_atom46
| $false ),
inference(fold_definition,[status(thm)],[defuse_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
( lhs_atom47
<=> gt(n5,n4) ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
( lhs_atom47
| $false ),
inference(fold_definition,[status(thm)],[gt_5_4_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
( lhs_atom48
<=> gt(n135299,n4) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
( lhs_atom48
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_4_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
( lhs_atom49
<=> gt(n135299,n5) ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
( lhs_atom49
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_5_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
( lhs_atom50
<=> gt(n4,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
( lhs_atom50
| $false ),
inference(fold_definition,[status(thm)],[gt_4_tptp_minus_1_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
( lhs_atom51
<=> gt(n5,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
( lhs_atom51
| $false ),
inference(fold_definition,[status(thm)],[gt_5_tptp_minus_1_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
( lhs_atom52
<=> gt(n135299,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
( lhs_atom52
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_tptp_minus_1_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
( lhs_atom53
<=> gt(n0,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
( lhs_atom53
| $false ),
inference(fold_definition,[status(thm)],[gt_0_tptp_minus_1_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
( lhs_atom54
<=> gt(n1,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
( lhs_atom54
| $false ),
inference(fold_definition,[status(thm)],[gt_1_tptp_minus_1_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
( lhs_atom55
<=> gt(n2,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
( lhs_atom55
| $false ),
inference(fold_definition,[status(thm)],[gt_2_tptp_minus_1_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
( lhs_atom56
<=> gt(n3,tptp_minus_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
( lhs_atom56
| $false ),
inference(fold_definition,[status(thm)],[gt_3_tptp_minus_1_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
( lhs_atom57
<=> gt(n4,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
( lhs_atom57
| $false ),
inference(fold_definition,[status(thm)],[gt_4_0_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
( lhs_atom58
<=> gt(n5,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
( lhs_atom58
| $false ),
inference(fold_definition,[status(thm)],[gt_5_0_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
( lhs_atom59
<=> gt(n135299,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
( lhs_atom59
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_0_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
( lhs_atom60
<=> gt(n1,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
( lhs_atom60
| $false ),
inference(fold_definition,[status(thm)],[gt_1_0_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
( lhs_atom61
<=> gt(n2,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
( lhs_atom61
| $false ),
inference(fold_definition,[status(thm)],[gt_2_0_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
( lhs_atom62
<=> gt(n3,n0) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
( lhs_atom62
| $false ),
inference(fold_definition,[status(thm)],[gt_3_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
( lhs_atom63
<=> gt(n4,n1) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
( lhs_atom63
| $false ),
inference(fold_definition,[status(thm)],[gt_4_1_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
( lhs_atom64
<=> gt(n5,n1) ),
inference(definition,[],]) ).
fof(to_be_clausified_65,plain,
( lhs_atom64
| $false ),
inference(fold_definition,[status(thm)],[gt_5_1_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
( lhs_atom65
<=> gt(n135299,n1) ),
inference(definition,[],]) ).
fof(to_be_clausified_66,plain,
( lhs_atom65
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_1_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
( lhs_atom66
<=> gt(n2,n1) ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
( lhs_atom66
| $false ),
inference(fold_definition,[status(thm)],[gt_2_1_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
( lhs_atom67
<=> gt(n3,n1) ),
inference(definition,[],]) ).
fof(to_be_clausified_68,plain,
( lhs_atom67
| $false ),
inference(fold_definition,[status(thm)],[gt_3_1_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
( lhs_atom68
<=> gt(n4,n2) ),
inference(definition,[],]) ).
fof(to_be_clausified_69,plain,
( lhs_atom68
| $false ),
inference(fold_definition,[status(thm)],[gt_4_2_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
( lhs_atom69
<=> gt(n5,n2) ),
inference(definition,[],]) ).
fof(to_be_clausified_70,plain,
( lhs_atom69
| $false ),
inference(fold_definition,[status(thm)],[gt_5_2_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
( lhs_atom70
<=> gt(n135299,n2) ),
inference(definition,[],]) ).
fof(to_be_clausified_71,plain,
( lhs_atom70
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_2_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
( lhs_atom71
<=> gt(n3,n2) ),
inference(definition,[],]) ).
fof(to_be_clausified_72,plain,
( lhs_atom71
| $false ),
inference(fold_definition,[status(thm)],[gt_3_2_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
( lhs_atom72
<=> gt(n4,n3) ),
inference(definition,[],]) ).
fof(to_be_clausified_73,plain,
( lhs_atom72
| $false ),
inference(fold_definition,[status(thm)],[gt_4_3_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
( lhs_atom73
<=> gt(n5,n3) ),
inference(definition,[],]) ).
fof(to_be_clausified_74,plain,
( lhs_atom73
| $false ),
inference(fold_definition,[status(thm)],[gt_5_3_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
( lhs_atom74
<=> gt(n135299,n3) ),
inference(definition,[],]) ).
fof(to_be_clausified_75,plain,
( lhs_atom74
| $false ),
inference(fold_definition,[status(thm)],[gt_135299_3_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
! [X] :
( lhs_atom75(X)
<=> X = n0 ),
inference(definition,[],]) ).
fof(to_be_clausified_76,plain,
! [X] :
( lhs_atom75(X)
| ~ ( leq(n0,X)
& leq(X,n0) ) ),
inference(fold_definition,[status(thm)],[finite_domain_0_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
( lhs_atom76
<=> succ(succ(succ(succ(n0)))) = n4 ),
inference(definition,[],]) ).
fof(to_be_clausified_77,plain,
( lhs_atom76
| $false ),
inference(fold_definition,[status(thm)],[successor_4_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
( lhs_atom77
<=> succ(succ(succ(succ(succ(n0))))) = n5 ),
inference(definition,[],]) ).
fof(to_be_clausified_78,plain,
( lhs_atom77
| $false ),
inference(fold_definition,[status(thm)],[successor_5_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
( lhs_atom78
<=> succ(n0) = n1 ),
inference(definition,[],]) ).
fof(to_be_clausified_79,plain,
( lhs_atom78
| $false ),
inference(fold_definition,[status(thm)],[successor_1_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
( lhs_atom79
<=> succ(succ(n0)) = n2 ),
inference(definition,[],]) ).
fof(to_be_clausified_80,plain,
( lhs_atom79
| $false ),
inference(fold_definition,[status(thm)],[successor_2_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
( lhs_atom80
<=> succ(succ(succ(n0))) = n3 ),
inference(definition,[],]) ).
fof(to_be_clausified_81,plain,
( lhs_atom80
| $false ),
inference(fold_definition,[status(thm)],[successor_3_0,def_lhs_atom80]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X3,X15,X16,X6,X13,X8] :
( lhs_atom41(X3,X15,X16,X6,X13,X8)
| ~ ( ! [X18,X19] :
( ( leq(n0,X18)
& leq(n0,X19)
& leq(X18,X6)
& leq(X19,X16) )
=> a_select3(X3,X18,X19) = X15 )
& leq(n0,X8)
& leq(X8,X6)
& leq(n0,X13)
& leq(X13,X16) ) ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_1,axiom,
! [X3,X17,X15,X16,X6,X13,X8] :
( lhs_atom40(X3,X17,X15,X16,X6,X13,X8)
| ~ ( X8 != X6
& X13 = X16
& a_select3(X3,X6,X16) = X15 ) ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_2,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( lhs_atom18(X5,X9,X10,X11,X12,X13,X8)
| ~ ( leq(X12,X8)
& leq(X8,X10)
& leq(X11,X13)
& leq(X13,X9) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_3,axiom,
! [X3,X17,X15,X6,X8] :
( lhs_atom43(X3,X17,X15,X6,X8)
| ~ ( X8 != X6
& a_select2(X3,X6) = X15 ) ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_4,axiom,
! [X3,X15,X6,X8] :
( lhs_atom44(X3,X15,X6,X8)
| ~ ( ! [X18] :
( ( leq(n0,X18)
& leq(X18,X6) )
=> a_select2(X3,X18) = X15 )
& leq(n0,X8)
& leq(X8,X6) ) ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_5,axiom,
! [X5,X6,X7,X8] :
( lhs_atom17(X5,X6,X7,X8)
| ~ ( leq(X7,X8)
& leq(X8,X6) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_6,axiom,
! [X3,X15,X16,X6] :
( lhs_atom39(X3,X15,X16,X6)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_7,axiom,
! [X1,X2,X3] :
( lhs_atom4(X1,X3)
| ~ ( leq(X3,X2)
& leq(X2,X1) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_8,axiom,
! [X1,X2,X3] :
( lhs_atom1(X1,X3)
| ~ ( gt(X3,X2)
& gt(X2,X1) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_9,axiom,
! [X3,X15,X6] :
( lhs_atom42(X3,X15,X6)
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_10,axiom,
! [X2,X3] :
( lhs_atom15(X2,X3)
| ~ gt(succ(X2),X3) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_11,axiom,
! [X3] :
( lhs_atom75(X3)
| ~ ( leq(n0,X3)
& leq(X3,n0) ) ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_12,axiom,
! [X3,X4] :
( lhs_atom16(X3)
| leq(uniform_int_rnd(X4,X3),X3) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_13,axiom,
! [X3,X4] :
( lhs_atom16(X3)
| leq(n0,uniform_int_rnd(X4,X3)) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_14,axiom,
! [X2,X3] :
( lhs_atom10(X2,X3)
| ~ ( leq(X3,X2)
& X3 != X2 ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_15,axiom,
! [X2,X3] :
( lhs_atom36(X2,X3)
| ~ leq(X3,X2) ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_16,axiom,
! [X2,X3] :
( lhs_atom12(X2,X3)
| ~ gt(X2,X3) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_17,axiom,
! [X2,X3] :
( lhs_atom8(X2,X3)
| ~ leq(X2,X3) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_18,axiom,
! [X2,X3] :
( lhs_atom6(X2,X3)
| ~ gt(X2,X3) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_19,axiom,
! [X2,X3] :
( lhs_atom14(X2,X3)
| gt(succ(X2),X3) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_20,axiom,
! [X2,X3] :
( lhs_atom14(X2,X3)
| leq(X3,succ(X2)) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_21,axiom,
! [X2,X3] :
( lhs_atom37(X2,X3)
| gt(X2,X3) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_22,axiom,
! [X2,X3] :
( lhs_atom35(X2,X3)
| leq(X3,X2) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_23,axiom,
! [X2,X3] :
( lhs_atom11(X2,X3)
| gt(X2,X3) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_24,axiom,
! [X2,X3] :
( lhs_atom9(X2,X3)
| leq(X3,X2) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_25,axiom,
! [X2,X3] :
( lhs_atom7(X2,X3)
| leq(X2,X3) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_26,axiom,
! [X2,X3] :
( lhs_atom5(X2,X3)
| gt(X2,X3) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_27,axiom,
! [X2,X3] :
( lhs_atom38(X2,X3)
| leq(n0,X2) ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_28,axiom,
! [X3] :
( lhs_atom34(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_29,axiom,
! [X3] :
( lhs_atom33(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_30,axiom,
! [X3] :
( lhs_atom32(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_31,axiom,
! [X3] :
( lhs_atom31(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_32,axiom,
! [X3] :
( lhs_atom30(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_33,axiom,
! [X3] :
( lhs_atom29(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_34,axiom,
! [X3] :
( lhs_atom28(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_35,axiom,
! [X3] :
( lhs_atom27(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_36,axiom,
! [X3] :
( lhs_atom26(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_37,axiom,
! [X3] :
( lhs_atom25(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_38,axiom,
! [X3] :
( lhs_atom24(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_39,axiom,
! [X3] :
( lhs_atom23(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_40,axiom,
! [X3] :
( lhs_atom22(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_41,axiom,
! [X14] :
( lhs_atom20(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_42,axiom,
! [X14] :
( lhs_atom19(X14)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_43,axiom,
! [X3] :
( lhs_atom13(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_44,axiom,
! [X3] :
( lhs_atom3(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_45,axiom,
! [X3] :
( lhs_atom2(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_46,axiom,
( lhs_atom80
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_47,axiom,
( lhs_atom79
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_48,axiom,
( lhs_atom78
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_49,axiom,
( lhs_atom77
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_50,axiom,
( lhs_atom76
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_51,axiom,
( lhs_atom74
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_52,axiom,
( lhs_atom73
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_53,axiom,
( lhs_atom72
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_54,axiom,
( lhs_atom71
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_55,axiom,
( lhs_atom70
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_56,axiom,
( lhs_atom69
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_57,axiom,
( lhs_atom68
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_58,axiom,
( lhs_atom67
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_59,axiom,
( lhs_atom66
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_60,axiom,
( lhs_atom65
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_61,axiom,
( lhs_atom64
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_62,axiom,
( lhs_atom63
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_63,axiom,
( lhs_atom62
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_64,axiom,
( lhs_atom61
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_65,axiom,
( lhs_atom60
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_66,axiom,
( lhs_atom59
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_67,axiom,
( lhs_atom58
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_68,axiom,
( lhs_atom57
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_69,axiom,
( lhs_atom56
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_70,axiom,
( lhs_atom55
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_71,axiom,
( lhs_atom54
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_72,axiom,
( lhs_atom53
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_73,axiom,
( lhs_atom52
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_74,axiom,
( lhs_atom51
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_75,axiom,
( lhs_atom50
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_76,axiom,
( lhs_atom49
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_77,axiom,
( lhs_atom48
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_78,axiom,
( lhs_atom47
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_79,axiom,
( lhs_atom46
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_80,axiom,
( lhs_atom45
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_81,axiom,
( lhs_atom21
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_82,axiom,
! [X3,X15,X16,X6,X13,X8] :
( lhs_atom41(X3,X15,X16,X6,X13,X8)
| ~ ( ! [X18,X19] :
( ( leq(n0,X18)
& leq(n0,X19)
& leq(X18,X6)
& leq(X19,X16) )
=> a_select3(X3,X18,X19) = X15 )
& leq(n0,X8)
& leq(X8,X6)
& leq(n0,X13)
& leq(X13,X16) ) ),
c_0_0 ).
fof(c_0_83,axiom,
! [X3,X17,X15,X16,X6,X13,X8] :
( lhs_atom40(X3,X17,X15,X16,X6,X13,X8)
| ~ ( X8 != X6
& X13 = X16
& a_select3(X3,X6,X16) = X15 ) ),
c_0_1 ).
fof(c_0_84,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( lhs_atom18(X5,X9,X10,X11,X12,X13,X8)
| ~ ( leq(X12,X8)
& leq(X8,X10)
& leq(X11,X13)
& leq(X13,X9) ) ),
c_0_2 ).
fof(c_0_85,axiom,
! [X3,X17,X15,X6,X8] :
( lhs_atom43(X3,X17,X15,X6,X8)
| ~ ( X8 != X6
& a_select2(X3,X6) = X15 ) ),
c_0_3 ).
fof(c_0_86,axiom,
! [X3,X15,X6,X8] :
( lhs_atom44(X3,X15,X6,X8)
| ~ ( ! [X18] :
( ( leq(n0,X18)
& leq(X18,X6) )
=> a_select2(X3,X18) = X15 )
& leq(n0,X8)
& leq(X8,X6) ) ),
c_0_4 ).
fof(c_0_87,axiom,
! [X5,X6,X7,X8] :
( lhs_atom17(X5,X6,X7,X8)
| ~ ( leq(X7,X8)
& leq(X8,X6) ) ),
c_0_5 ).
fof(c_0_88,plain,
! [X3,X15,X16,X6] : lhs_atom39(X3,X15,X16,X6),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_89,axiom,
! [X1,X2,X3] :
( lhs_atom4(X1,X3)
| ~ ( leq(X3,X2)
& leq(X2,X1) ) ),
c_0_7 ).
fof(c_0_90,axiom,
! [X1,X2,X3] :
( lhs_atom1(X1,X3)
| ~ ( gt(X3,X2)
& gt(X2,X1) ) ),
c_0_8 ).
fof(c_0_91,plain,
! [X3,X15,X6] : lhs_atom42(X3,X15,X6),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_92,plain,
! [X2,X3] :
( lhs_atom15(X2,X3)
| ~ gt(succ(X2),X3) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_93,axiom,
! [X3] :
( lhs_atom75(X3)
| ~ ( leq(n0,X3)
& leq(X3,n0) ) ),
c_0_11 ).
fof(c_0_94,axiom,
! [X3,X4] :
( lhs_atom16(X3)
| leq(uniform_int_rnd(X4,X3),X3) ),
c_0_12 ).
fof(c_0_95,axiom,
! [X3,X4] :
( lhs_atom16(X3)
| leq(n0,uniform_int_rnd(X4,X3)) ),
c_0_13 ).
fof(c_0_96,axiom,
! [X2,X3] :
( lhs_atom10(X2,X3)
| ~ ( leq(X3,X2)
& X3 != X2 ) ),
c_0_14 ).
fof(c_0_97,plain,
! [X2,X3] :
( lhs_atom36(X2,X3)
| ~ leq(X3,X2) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_98,plain,
! [X2,X3] :
( lhs_atom12(X2,X3)
| ~ gt(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_99,plain,
! [X2,X3] :
( lhs_atom8(X2,X3)
| ~ leq(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_100,plain,
! [X2,X3] :
( lhs_atom6(X2,X3)
| ~ gt(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_101,axiom,
! [X2,X3] :
( lhs_atom14(X2,X3)
| gt(succ(X2),X3) ),
c_0_19 ).
fof(c_0_102,axiom,
! [X2,X3] :
( lhs_atom14(X2,X3)
| leq(X3,succ(X2)) ),
c_0_20 ).
fof(c_0_103,axiom,
! [X2,X3] :
( lhs_atom37(X2,X3)
| gt(X2,X3) ),
c_0_21 ).
fof(c_0_104,axiom,
! [X2,X3] :
( lhs_atom35(X2,X3)
| leq(X3,X2) ),
c_0_22 ).
fof(c_0_105,axiom,
! [X2,X3] :
( lhs_atom11(X2,X3)
| gt(X2,X3) ),
c_0_23 ).
fof(c_0_106,axiom,
! [X2,X3] :
( lhs_atom9(X2,X3)
| leq(X3,X2) ),
c_0_24 ).
fof(c_0_107,axiom,
! [X2,X3] :
( lhs_atom7(X2,X3)
| leq(X2,X3) ),
c_0_25 ).
fof(c_0_108,axiom,
! [X2,X3] :
( lhs_atom5(X2,X3)
| gt(X2,X3) ),
c_0_26 ).
fof(c_0_109,axiom,
! [X2,X3] :
( lhs_atom38(X2,X3)
| leq(n0,X2) ),
c_0_27 ).
fof(c_0_110,plain,
! [X3] : lhs_atom34(X3),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_111,plain,
! [X3] : lhs_atom33(X3),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_112,plain,
! [X3] : lhs_atom32(X3),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_113,plain,
! [X3] : lhs_atom31(X3),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_114,plain,
! [X3] : lhs_atom30(X3),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_115,plain,
! [X3] : lhs_atom29(X3),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_116,plain,
! [X3] : lhs_atom28(X3),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_117,plain,
! [X3] : lhs_atom27(X3),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_118,plain,
! [X3] : lhs_atom26(X3),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_119,plain,
! [X3] : lhs_atom25(X3),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_120,plain,
! [X3] : lhs_atom24(X3),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_121,plain,
! [X3] : lhs_atom23(X3),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_122,plain,
! [X3] : lhs_atom22(X3),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_123,plain,
! [X14] : lhs_atom20(X14),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_124,plain,
! [X14] : lhs_atom19(X14),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_125,plain,
! [X3] : lhs_atom13(X3),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_126,plain,
! [X3] : lhs_atom3(X3),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_127,plain,
! [X3] : lhs_atom2(X3),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_128,plain,
lhs_atom80,
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_129,plain,
lhs_atom79,
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_130,plain,
lhs_atom78,
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_131,plain,
lhs_atom77,
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_132,plain,
lhs_atom76,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_133,plain,
lhs_atom74,
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_134,plain,
lhs_atom73,
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_135,plain,
lhs_atom72,
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_136,plain,
lhs_atom71,
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_137,plain,
lhs_atom70,
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_138,plain,
lhs_atom69,
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_139,plain,
lhs_atom68,
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_140,plain,
lhs_atom67,
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_141,plain,
lhs_atom66,
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_142,plain,
lhs_atom65,
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_143,plain,
lhs_atom64,
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_144,plain,
lhs_atom63,
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_145,plain,
lhs_atom62,
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_146,plain,
lhs_atom61,
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_147,plain,
lhs_atom60,
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_148,plain,
lhs_atom59,
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_149,plain,
lhs_atom58,
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_150,plain,
lhs_atom57,
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_151,plain,
lhs_atom56,
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_152,plain,
lhs_atom55,
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_153,plain,
lhs_atom54,
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_154,plain,
lhs_atom53,
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_155,plain,
lhs_atom52,
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_156,plain,
lhs_atom51,
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_157,plain,
lhs_atom50,
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_158,plain,
lhs_atom49,
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_159,plain,
lhs_atom48,
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_160,plain,
lhs_atom47,
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_161,plain,
lhs_atom46,
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_162,plain,
lhs_atom45,
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_163,plain,
lhs_atom21,
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_164,plain,
! [X20,X21,X22,X23,X24,X25] :
( ( leq(n0,esk1_6(X20,X21,X22,X23,X24,X25))
| ~ leq(n0,X25)
| ~ leq(X25,X23)
| ~ leq(n0,X24)
| ~ leq(X24,X22)
| lhs_atom41(X20,X21,X22,X23,X24,X25) )
& ( leq(n0,esk2_6(X20,X21,X22,X23,X24,X25))
| ~ leq(n0,X25)
| ~ leq(X25,X23)
| ~ leq(n0,X24)
| ~ leq(X24,X22)
| lhs_atom41(X20,X21,X22,X23,X24,X25) )
& ( leq(esk1_6(X20,X21,X22,X23,X24,X25),X23)
| ~ leq(n0,X25)
| ~ leq(X25,X23)
| ~ leq(n0,X24)
| ~ leq(X24,X22)
| lhs_atom41(X20,X21,X22,X23,X24,X25) )
& ( leq(esk2_6(X20,X21,X22,X23,X24,X25),X22)
| ~ leq(n0,X25)
| ~ leq(X25,X23)
| ~ leq(n0,X24)
| ~ leq(X24,X22)
| lhs_atom41(X20,X21,X22,X23,X24,X25) )
& ( a_select3(X20,esk1_6(X20,X21,X22,X23,X24,X25),esk2_6(X20,X21,X22,X23,X24,X25)) != X21
| ~ leq(n0,X25)
| ~ leq(X25,X23)
| ~ leq(n0,X24)
| ~ leq(X24,X22)
| lhs_atom41(X20,X21,X22,X23,X24,X25) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])]) ).
fof(c_0_165,plain,
! [X18,X19,X20,X21,X22,X23,X24] :
( lhs_atom40(X18,X19,X20,X21,X22,X23,X24)
| X24 = X22
| X23 != X21
| a_select3(X18,X22,X21) != X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])]) ).
fof(c_0_166,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( lhs_atom18(X14,X15,X16,X17,X18,X19,X20)
| ~ leq(X18,X20)
| ~ leq(X20,X16)
| ~ leq(X17,X19)
| ~ leq(X19,X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])]) ).
fof(c_0_167,plain,
! [X18,X19,X20,X21,X22] :
( lhs_atom43(X18,X19,X20,X21,X22)
| X22 = X21
| a_select2(X18,X21) != X20 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
fof(c_0_168,plain,
! [X19,X20,X21,X22] :
( ( leq(n0,esk3_4(X19,X20,X21,X22))
| ~ leq(n0,X22)
| ~ leq(X22,X21)
| lhs_atom44(X19,X20,X21,X22) )
& ( leq(esk3_4(X19,X20,X21,X22),X21)
| ~ leq(n0,X22)
| ~ leq(X22,X21)
| lhs_atom44(X19,X20,X21,X22) )
& ( a_select2(X19,esk3_4(X19,X20,X21,X22)) != X20
| ~ leq(n0,X22)
| ~ leq(X22,X21)
| lhs_atom44(X19,X20,X21,X22) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])]) ).
fof(c_0_169,plain,
! [X9,X10,X11,X12] :
( lhs_atom17(X9,X10,X11,X12)
| ~ leq(X11,X12)
| ~ leq(X12,X10) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).
fof(c_0_170,plain,
! [X17,X18,X19,X20] : lhs_atom39(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_171,plain,
! [X4,X5,X6] :
( lhs_atom4(X4,X6)
| ~ leq(X6,X5)
| ~ leq(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).
fof(c_0_172,plain,
! [X4,X5,X6] :
( lhs_atom1(X4,X6)
| ~ gt(X6,X5)
| ~ gt(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])]) ).
fof(c_0_173,plain,
! [X16,X17,X18] : lhs_atom42(X16,X17,X18),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_174,plain,
! [X4,X5] :
( lhs_atom15(X4,X5)
| ~ gt(succ(X4),X5) ),
inference(variable_rename,[status(thm)],[c_0_92]) ).
fof(c_0_175,plain,
! [X4] :
( lhs_atom75(X4)
| ~ leq(n0,X4)
| ~ leq(X4,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])]) ).
fof(c_0_176,plain,
! [X5,X6] :
( lhs_atom16(X5)
| leq(uniform_int_rnd(X6,X5),X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_94])])]) ).
fof(c_0_177,plain,
! [X5,X6] :
( lhs_atom16(X5)
| leq(n0,uniform_int_rnd(X6,X5)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_95])])]) ).
fof(c_0_178,plain,
! [X4,X5] :
( lhs_atom10(X4,X5)
| ~ leq(X5,X4)
| X5 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])]) ).
fof(c_0_179,plain,
! [X4,X5] :
( lhs_atom36(X4,X5)
| ~ leq(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_97]) ).
fof(c_0_180,plain,
! [X4,X5] :
( lhs_atom12(X4,X5)
| ~ gt(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_181,plain,
! [X4,X5] :
( lhs_atom8(X4,X5)
| ~ leq(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_182,plain,
! [X4,X5] :
( lhs_atom6(X4,X5)
| ~ gt(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_183,plain,
! [X4,X5] :
( lhs_atom14(X4,X5)
| gt(succ(X4),X5) ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_184,plain,
! [X4,X5] :
( lhs_atom14(X4,X5)
| leq(X5,succ(X4)) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_185,plain,
! [X4,X5] :
( lhs_atom37(X4,X5)
| gt(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
fof(c_0_186,plain,
! [X4,X5] :
( lhs_atom35(X4,X5)
| leq(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_104]) ).
fof(c_0_187,plain,
! [X4,X5] :
( lhs_atom11(X4,X5)
| gt(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_105]) ).
fof(c_0_188,plain,
! [X4,X5] :
( lhs_atom9(X4,X5)
| leq(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_189,plain,
! [X4,X5] :
( lhs_atom7(X4,X5)
| leq(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_190,plain,
! [X4,X5] :
( lhs_atom5(X4,X5)
| gt(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_191,plain,
! [X4,X5] :
( lhs_atom38(X4,X5)
| leq(n0,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_109])])]) ).
fof(c_0_192,plain,
! [X4] : lhs_atom34(X4),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_193,plain,
! [X4] : lhs_atom33(X4),
inference(variable_rename,[status(thm)],[c_0_111]) ).
fof(c_0_194,plain,
! [X4] : lhs_atom32(X4),
inference(variable_rename,[status(thm)],[c_0_112]) ).
fof(c_0_195,plain,
! [X4] : lhs_atom31(X4),
inference(variable_rename,[status(thm)],[c_0_113]) ).
fof(c_0_196,plain,
! [X4] : lhs_atom30(X4),
inference(variable_rename,[status(thm)],[c_0_114]) ).
fof(c_0_197,plain,
! [X4] : lhs_atom29(X4),
inference(variable_rename,[status(thm)],[c_0_115]) ).
fof(c_0_198,plain,
! [X4] : lhs_atom28(X4),
inference(variable_rename,[status(thm)],[c_0_116]) ).
fof(c_0_199,plain,
! [X4] : lhs_atom27(X4),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_200,plain,
! [X4] : lhs_atom26(X4),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_201,plain,
! [X4] : lhs_atom25(X4),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_202,plain,
! [X4] : lhs_atom24(X4),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_203,plain,
! [X4] : lhs_atom23(X4),
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_204,plain,
! [X4] : lhs_atom22(X4),
inference(variable_rename,[status(thm)],[c_0_122]) ).
fof(c_0_205,plain,
! [X15] : lhs_atom20(X15),
inference(variable_rename,[status(thm)],[c_0_123]) ).
fof(c_0_206,plain,
! [X15] : lhs_atom19(X15),
inference(variable_rename,[status(thm)],[c_0_124]) ).
fof(c_0_207,plain,
! [X4] : lhs_atom13(X4),
inference(variable_rename,[status(thm)],[c_0_125]) ).
fof(c_0_208,plain,
! [X4] : lhs_atom3(X4),
inference(variable_rename,[status(thm)],[c_0_126]) ).
fof(c_0_209,plain,
! [X4] : lhs_atom2(X4),
inference(variable_rename,[status(thm)],[c_0_127]) ).
fof(c_0_210,plain,
lhs_atom80,
c_0_128 ).
fof(c_0_211,plain,
lhs_atom79,
c_0_129 ).
fof(c_0_212,plain,
lhs_atom78,
c_0_130 ).
fof(c_0_213,plain,
lhs_atom77,
c_0_131 ).
fof(c_0_214,plain,
lhs_atom76,
c_0_132 ).
fof(c_0_215,plain,
lhs_atom74,
c_0_133 ).
fof(c_0_216,plain,
lhs_atom73,
c_0_134 ).
fof(c_0_217,plain,
lhs_atom72,
c_0_135 ).
fof(c_0_218,plain,
lhs_atom71,
c_0_136 ).
fof(c_0_219,plain,
lhs_atom70,
c_0_137 ).
fof(c_0_220,plain,
lhs_atom69,
c_0_138 ).
fof(c_0_221,plain,
lhs_atom68,
c_0_139 ).
fof(c_0_222,plain,
lhs_atom67,
c_0_140 ).
fof(c_0_223,plain,
lhs_atom66,
c_0_141 ).
fof(c_0_224,plain,
lhs_atom65,
c_0_142 ).
fof(c_0_225,plain,
lhs_atom64,
c_0_143 ).
fof(c_0_226,plain,
lhs_atom63,
c_0_144 ).
fof(c_0_227,plain,
lhs_atom62,
c_0_145 ).
fof(c_0_228,plain,
lhs_atom61,
c_0_146 ).
fof(c_0_229,plain,
lhs_atom60,
c_0_147 ).
fof(c_0_230,plain,
lhs_atom59,
c_0_148 ).
fof(c_0_231,plain,
lhs_atom58,
c_0_149 ).
fof(c_0_232,plain,
lhs_atom57,
c_0_150 ).
fof(c_0_233,plain,
lhs_atom56,
c_0_151 ).
fof(c_0_234,plain,
lhs_atom55,
c_0_152 ).
fof(c_0_235,plain,
lhs_atom54,
c_0_153 ).
fof(c_0_236,plain,
lhs_atom53,
c_0_154 ).
fof(c_0_237,plain,
lhs_atom52,
c_0_155 ).
fof(c_0_238,plain,
lhs_atom51,
c_0_156 ).
fof(c_0_239,plain,
lhs_atom50,
c_0_157 ).
fof(c_0_240,plain,
lhs_atom49,
c_0_158 ).
fof(c_0_241,plain,
lhs_atom48,
c_0_159 ).
fof(c_0_242,plain,
lhs_atom47,
c_0_160 ).
fof(c_0_243,plain,
lhs_atom46,
c_0_161 ).
fof(c_0_244,plain,
lhs_atom45,
c_0_162 ).
fof(c_0_245,plain,
lhs_atom21,
c_0_163 ).
cnf(c_0_246,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6)
| a_select3(X1,esk1_6(X1,X2,X3,X4,X5,X6),esk2_6(X1,X2,X3,X4,X5,X6)) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_247,plain,
( X6 = X2
| lhs_atom40(X1,X7,X4,X3,X2,X5,X6)
| a_select3(X1,X2,X3) != X4
| X5 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_248,plain,
( lhs_atom18(X7,X2,X5,X3,X6,X1,X4)
| ~ leq(X1,X2)
| ~ leq(X3,X1)
| ~ leq(X4,X5)
| ~ leq(X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_249,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(esk1_6(X1,X2,X3,X4,X5,X6),X4)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_250,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(esk2_6(X1,X2,X3,X4,X5,X6),X3)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_251,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(n0,esk1_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_252,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(n0,esk2_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_253,plain,
( X4 = X2
| lhs_atom43(X1,X5,X3,X2,X4)
| a_select2(X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_254,plain,
( lhs_atom44(X1,X2,X3,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X4)
| a_select2(X1,esk3_4(X1,X2,X3,X4)) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_255,plain,
( lhs_atom44(X1,X2,X3,X4)
| leq(esk3_4(X1,X2,X3,X4),X3)
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_256,plain,
( lhs_atom44(X1,X2,X3,X4)
| leq(n0,esk3_4(X1,X2,X3,X4))
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_257,plain,
( lhs_atom17(X4,X2,X3,X1)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_258,plain,
lhs_atom39(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_259,plain,
( lhs_atom4(X2,X3)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_260,plain,
( lhs_atom1(X2,X3)
| ~ gt(X1,X2)
| ~ gt(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_261,plain,
lhs_atom42(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_262,plain,
( lhs_atom15(X1,X2)
| ~ gt(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_263,plain,
( lhs_atom75(X1)
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_264,plain,
( leq(uniform_int_rnd(X1,X2),X2)
| lhs_atom16(X2) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_265,plain,
( leq(n0,uniform_int_rnd(X1,X2))
| lhs_atom16(X2) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_266,plain,
( X1 = X2
| lhs_atom10(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_267,plain,
( lhs_atom36(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_268,plain,
( lhs_atom12(X1,X2)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_269,plain,
( lhs_atom8(X1,X2)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_270,plain,
( lhs_atom6(X1,X2)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_271,plain,
( gt(succ(X1),X2)
| lhs_atom14(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_272,plain,
( leq(X1,succ(X2))
| lhs_atom14(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_273,plain,
( gt(X1,X2)
| lhs_atom37(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_274,plain,
( leq(X1,X2)
| lhs_atom35(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_275,plain,
( gt(X1,X2)
| lhs_atom11(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_276,plain,
( leq(X1,X2)
| lhs_atom9(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_277,plain,
( leq(X1,X2)
| lhs_atom7(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_278,plain,
( gt(X1,X2)
| lhs_atom5(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_279,plain,
( leq(n0,X1)
| lhs_atom38(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_280,plain,
lhs_atom34(X1),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_281,plain,
lhs_atom33(X1),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_282,plain,
lhs_atom32(X1),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_283,plain,
lhs_atom31(X1),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_284,plain,
lhs_atom30(X1),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_285,plain,
lhs_atom29(X1),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_286,plain,
lhs_atom28(X1),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_287,plain,
lhs_atom27(X1),
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_288,plain,
lhs_atom26(X1),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_289,plain,
lhs_atom25(X1),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_290,plain,
lhs_atom24(X1),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_291,plain,
lhs_atom23(X1),
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_292,plain,
lhs_atom22(X1),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_293,plain,
lhs_atom20(X1),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_294,plain,
lhs_atom19(X1),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_295,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_296,plain,
lhs_atom3(X1),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_297,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_298,plain,
lhs_atom80,
inference(split_conjunct,[status(thm)],[c_0_210]) ).
cnf(c_0_299,plain,
lhs_atom79,
inference(split_conjunct,[status(thm)],[c_0_211]) ).
cnf(c_0_300,plain,
lhs_atom78,
inference(split_conjunct,[status(thm)],[c_0_212]) ).
cnf(c_0_301,plain,
lhs_atom77,
inference(split_conjunct,[status(thm)],[c_0_213]) ).
cnf(c_0_302,plain,
lhs_atom76,
inference(split_conjunct,[status(thm)],[c_0_214]) ).
cnf(c_0_303,plain,
lhs_atom74,
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_304,plain,
lhs_atom73,
inference(split_conjunct,[status(thm)],[c_0_216]) ).
cnf(c_0_305,plain,
lhs_atom72,
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_306,plain,
lhs_atom71,
inference(split_conjunct,[status(thm)],[c_0_218]) ).
cnf(c_0_307,plain,
lhs_atom70,
inference(split_conjunct,[status(thm)],[c_0_219]) ).
cnf(c_0_308,plain,
lhs_atom69,
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_309,plain,
lhs_atom68,
inference(split_conjunct,[status(thm)],[c_0_221]) ).
cnf(c_0_310,plain,
lhs_atom67,
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_311,plain,
lhs_atom66,
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_312,plain,
lhs_atom65,
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_313,plain,
lhs_atom64,
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_314,plain,
lhs_atom63,
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_315,plain,
lhs_atom62,
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_316,plain,
lhs_atom61,
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_317,plain,
lhs_atom60,
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_318,plain,
lhs_atom59,
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_319,plain,
lhs_atom58,
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_320,plain,
lhs_atom57,
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_321,plain,
lhs_atom56,
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_322,plain,
lhs_atom55,
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_323,plain,
lhs_atom54,
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_324,plain,
lhs_atom53,
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_325,plain,
lhs_atom52,
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_326,plain,
lhs_atom51,
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_327,plain,
lhs_atom50,
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_328,plain,
lhs_atom49,
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_329,plain,
lhs_atom48,
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_330,plain,
lhs_atom47,
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_331,plain,
lhs_atom46,
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_332,plain,
lhs_atom45,
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_333,plain,
lhs_atom21,
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_334,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6)
| a_select3(X1,esk1_6(X1,X2,X3,X4,X5,X6),esk2_6(X1,X2,X3,X4,X5,X6)) != X2 ),
c_0_246,
[final] ).
cnf(c_0_335,plain,
( X6 = X2
| lhs_atom40(X1,X7,X4,X3,X2,X5,X6)
| a_select3(X1,X2,X3) != X4
| X5 != X3 ),
c_0_247,
[final] ).
cnf(c_0_336,plain,
( lhs_atom18(X7,X2,X5,X3,X6,X1,X4)
| ~ leq(X1,X2)
| ~ leq(X3,X1)
| ~ leq(X4,X5)
| ~ leq(X6,X4) ),
c_0_248,
[final] ).
cnf(c_0_337,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(esk1_6(X1,X2,X3,X4,X5,X6),X4)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
c_0_249,
[final] ).
cnf(c_0_338,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(esk2_6(X1,X2,X3,X4,X5,X6),X3)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
c_0_250,
[final] ).
cnf(c_0_339,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(n0,esk1_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
c_0_251,
[final] ).
cnf(c_0_340,plain,
( lhs_atom41(X1,X2,X3,X4,X5,X6)
| leq(n0,esk2_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
c_0_252,
[final] ).
cnf(c_0_341,plain,
( X4 = X2
| lhs_atom43(X1,X5,X3,X2,X4)
| a_select2(X1,X2) != X3 ),
c_0_253,
[final] ).
cnf(c_0_342,plain,
( lhs_atom44(X1,X2,X3,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X4)
| a_select2(X1,esk3_4(X1,X2,X3,X4)) != X2 ),
c_0_254,
[final] ).
cnf(c_0_343,plain,
( lhs_atom44(X1,X2,X3,X4)
| leq(esk3_4(X1,X2,X3,X4),X3)
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
c_0_255,
[final] ).
cnf(c_0_344,plain,
( lhs_atom44(X1,X2,X3,X4)
| leq(n0,esk3_4(X1,X2,X3,X4))
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
c_0_256,
[final] ).
cnf(c_0_345,plain,
( lhs_atom17(X4,X2,X3,X1)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
c_0_257,
[final] ).
cnf(c_0_346,plain,
lhs_atom39(X1,X2,X3,X4),
c_0_258,
[final] ).
cnf(c_0_347,plain,
( lhs_atom4(X2,X3)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
c_0_259,
[final] ).
cnf(c_0_348,plain,
( lhs_atom1(X2,X3)
| ~ gt(X1,X2)
| ~ gt(X3,X1) ),
c_0_260,
[final] ).
cnf(c_0_349,plain,
lhs_atom42(X1,X2,X3),
c_0_261,
[final] ).
cnf(c_0_350,plain,
( lhs_atom15(X1,X2)
| ~ gt(succ(X1),X2) ),
c_0_262,
[final] ).
cnf(c_0_351,plain,
( lhs_atom75(X1)
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
c_0_263,
[final] ).
cnf(c_0_352,plain,
( leq(uniform_int_rnd(X1,X2),X2)
| lhs_atom16(X2) ),
c_0_264,
[final] ).
cnf(c_0_353,plain,
( leq(n0,uniform_int_rnd(X1,X2))
| lhs_atom16(X2) ),
c_0_265,
[final] ).
cnf(c_0_354,plain,
( X1 = X2
| lhs_atom10(X2,X1)
| ~ leq(X1,X2) ),
c_0_266,
[final] ).
cnf(c_0_355,plain,
( lhs_atom36(X2,X1)
| ~ leq(X1,X2) ),
c_0_267,
[final] ).
cnf(c_0_356,plain,
( lhs_atom12(X1,X2)
| ~ gt(X1,X2) ),
c_0_268,
[final] ).
cnf(c_0_357,plain,
( lhs_atom8(X1,X2)
| ~ leq(X1,X2) ),
c_0_269,
[final] ).
cnf(c_0_358,plain,
( lhs_atom6(X1,X2)
| ~ gt(X1,X2) ),
c_0_270,
[final] ).
cnf(c_0_359,plain,
( gt(succ(X1),X2)
| lhs_atom14(X1,X2) ),
c_0_271,
[final] ).
cnf(c_0_360,plain,
( leq(X1,succ(X2))
| lhs_atom14(X2,X1) ),
c_0_272,
[final] ).
cnf(c_0_361,plain,
( gt(X1,X2)
| lhs_atom37(X1,X2) ),
c_0_273,
[final] ).
cnf(c_0_362,plain,
( leq(X1,X2)
| lhs_atom35(X2,X1) ),
c_0_274,
[final] ).
cnf(c_0_363,plain,
( gt(X1,X2)
| lhs_atom11(X1,X2) ),
c_0_275,
[final] ).
cnf(c_0_364,plain,
( leq(X1,X2)
| lhs_atom9(X2,X1) ),
c_0_276,
[final] ).
cnf(c_0_365,plain,
( leq(X1,X2)
| lhs_atom7(X1,X2) ),
c_0_277,
[final] ).
cnf(c_0_366,plain,
( gt(X1,X2)
| lhs_atom5(X1,X2) ),
c_0_278,
[final] ).
cnf(c_0_367,plain,
( leq(n0,X1)
| lhs_atom38(X1,X2) ),
c_0_279,
[final] ).
cnf(c_0_368,plain,
lhs_atom34(X1),
c_0_280,
[final] ).
cnf(c_0_369,plain,
lhs_atom33(X1),
c_0_281,
[final] ).
cnf(c_0_370,plain,
lhs_atom32(X1),
c_0_282,
[final] ).
cnf(c_0_371,plain,
lhs_atom31(X1),
c_0_283,
[final] ).
cnf(c_0_372,plain,
lhs_atom30(X1),
c_0_284,
[final] ).
cnf(c_0_373,plain,
lhs_atom29(X1),
c_0_285,
[final] ).
cnf(c_0_374,plain,
lhs_atom28(X1),
c_0_286,
[final] ).
cnf(c_0_375,plain,
lhs_atom27(X1),
c_0_287,
[final] ).
cnf(c_0_376,plain,
lhs_atom26(X1),
c_0_288,
[final] ).
cnf(c_0_377,plain,
lhs_atom25(X1),
c_0_289,
[final] ).
cnf(c_0_378,plain,
lhs_atom24(X1),
c_0_290,
[final] ).
cnf(c_0_379,plain,
lhs_atom23(X1),
c_0_291,
[final] ).
cnf(c_0_380,plain,
lhs_atom22(X1),
c_0_292,
[final] ).
cnf(c_0_381,plain,
lhs_atom20(X1),
c_0_293,
[final] ).
cnf(c_0_382,plain,
lhs_atom19(X1),
c_0_294,
[final] ).
cnf(c_0_383,plain,
lhs_atom13(X1),
c_0_295,
[final] ).
cnf(c_0_384,plain,
lhs_atom3(X1),
c_0_296,
[final] ).
cnf(c_0_385,plain,
lhs_atom2(X1),
c_0_297,
[final] ).
cnf(c_0_386,plain,
lhs_atom80,
c_0_298,
[final] ).
cnf(c_0_387,plain,
lhs_atom79,
c_0_299,
[final] ).
cnf(c_0_388,plain,
lhs_atom78,
c_0_300,
[final] ).
cnf(c_0_389,plain,
lhs_atom77,
c_0_301,
[final] ).
cnf(c_0_390,plain,
lhs_atom76,
c_0_302,
[final] ).
cnf(c_0_391,plain,
lhs_atom74,
c_0_303,
[final] ).
cnf(c_0_392,plain,
lhs_atom73,
c_0_304,
[final] ).
cnf(c_0_393,plain,
lhs_atom72,
c_0_305,
[final] ).
cnf(c_0_394,plain,
lhs_atom71,
c_0_306,
[final] ).
cnf(c_0_395,plain,
lhs_atom70,
c_0_307,
[final] ).
cnf(c_0_396,plain,
lhs_atom69,
c_0_308,
[final] ).
cnf(c_0_397,plain,
lhs_atom68,
c_0_309,
[final] ).
cnf(c_0_398,plain,
lhs_atom67,
c_0_310,
[final] ).
cnf(c_0_399,plain,
lhs_atom66,
c_0_311,
[final] ).
cnf(c_0_400,plain,
lhs_atom65,
c_0_312,
[final] ).
cnf(c_0_401,plain,
lhs_atom64,
c_0_313,
[final] ).
cnf(c_0_402,plain,
lhs_atom63,
c_0_314,
[final] ).
cnf(c_0_403,plain,
lhs_atom62,
c_0_315,
[final] ).
cnf(c_0_404,plain,
lhs_atom61,
c_0_316,
[final] ).
cnf(c_0_405,plain,
lhs_atom60,
c_0_317,
[final] ).
cnf(c_0_406,plain,
lhs_atom59,
c_0_318,
[final] ).
cnf(c_0_407,plain,
lhs_atom58,
c_0_319,
[final] ).
cnf(c_0_408,plain,
lhs_atom57,
c_0_320,
[final] ).
cnf(c_0_409,plain,
lhs_atom56,
c_0_321,
[final] ).
cnf(c_0_410,plain,
lhs_atom55,
c_0_322,
[final] ).
cnf(c_0_411,plain,
lhs_atom54,
c_0_323,
[final] ).
cnf(c_0_412,plain,
lhs_atom53,
c_0_324,
[final] ).
cnf(c_0_413,plain,
lhs_atom52,
c_0_325,
[final] ).
cnf(c_0_414,plain,
lhs_atom51,
c_0_326,
[final] ).
cnf(c_0_415,plain,
lhs_atom50,
c_0_327,
[final] ).
cnf(c_0_416,plain,
lhs_atom49,
c_0_328,
[final] ).
cnf(c_0_417,plain,
lhs_atom48,
c_0_329,
[final] ).
cnf(c_0_418,plain,
lhs_atom47,
c_0_330,
[final] ).
cnf(c_0_419,plain,
lhs_atom46,
c_0_331,
[final] ).
cnf(c_0_420,plain,
lhs_atom45,
c_0_332,
[final] ).
cnf(c_0_421,plain,
lhs_atom21,
c_0_333,
[final] ).
% End CNF derivation
cnf(c_0_334_0,axiom,
( a_select3(tptp_update3(X1,X4,X3,X2),X6,X5) = X2
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6)
| a_select3(X1,sk1_esk1_6(X1,X2,X3,X4,X5,X6),sk1_esk2_6(X1,X2,X3,X4,X5,X6)) != X2 ),
inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom41]) ).
cnf(c_0_335_0,axiom,
( a_select3(tptp_update3(X1,X6,X5,X7),X2,X3) = X4
| X6 = X2
| a_select3(X1,X2,X3) != X4
| X5 != X3 ),
inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom40]) ).
cnf(c_0_336_0,axiom,
( a_select3(tptp_const_array2(dim(X6,X5),dim(X3,X2),X7),X4,X1) = X7
| ~ leq(X1,X2)
| ~ leq(X3,X1)
| ~ leq(X4,X5)
| ~ leq(X6,X4) ),
inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom18]) ).
cnf(c_0_337_0,axiom,
( a_select3(tptp_update3(X1,X4,X3,X2),X6,X5) = X2
| leq(sk1_esk1_6(X1,X2,X3,X4,X5,X6),X4)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom41]) ).
cnf(c_0_338_0,axiom,
( a_select3(tptp_update3(X1,X4,X3,X2),X6,X5) = X2
| leq(sk1_esk2_6(X1,X2,X3,X4,X5,X6),X3)
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom41]) ).
cnf(c_0_339_0,axiom,
( a_select3(tptp_update3(X1,X4,X3,X2),X6,X5) = X2
| leq(n0,sk1_esk1_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom41]) ).
cnf(c_0_340_0,axiom,
( a_select3(tptp_update3(X1,X4,X3,X2),X6,X5) = X2
| leq(n0,sk1_esk2_6(X1,X2,X3,X4,X5,X6))
| ~ leq(X5,X3)
| ~ leq(n0,X5)
| ~ leq(X6,X4)
| ~ leq(n0,X6) ),
inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom41]) ).
cnf(c_0_341_0,axiom,
( a_select2(tptp_update2(X1,X4,X5),X2) = X3
| X4 = X2
| a_select2(X1,X2) != X3 ),
inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom43]) ).
cnf(c_0_342_0,axiom,
( a_select2(tptp_update2(X1,X3,X2),X4) = X2
| ~ leq(X4,X3)
| ~ leq(n0,X4)
| a_select2(X1,sk1_esk3_4(X1,X2,X3,X4)) != X2 ),
inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom44]) ).
cnf(c_0_343_0,axiom,
( a_select2(tptp_update2(X1,X3,X2),X4) = X2
| leq(sk1_esk3_4(X1,X2,X3,X4),X3)
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom44]) ).
cnf(c_0_344_0,axiom,
( a_select2(tptp_update2(X1,X3,X2),X4) = X2
| leq(n0,sk1_esk3_4(X1,X2,X3,X4))
| ~ leq(X4,X3)
| ~ leq(n0,X4) ),
inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom44]) ).
cnf(c_0_345_0,axiom,
( a_select2(tptp_const_array1(dim(X3,X2),X4),X1) = X4
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom17]) ).
cnf(c_0_347_0,axiom,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_347,def_lhs_atom4]) ).
cnf(c_0_348_0,axiom,
( gt(X3,X2)
| ~ gt(X1,X2)
| ~ gt(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom1]) ).
cnf(c_0_350_0,axiom,
( leq(X2,X1)
| ~ gt(succ(X1),X2) ),
inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom15]) ).
cnf(c_0_351_0,axiom,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom75]) ).
cnf(c_0_352_0,axiom,
( ~ leq(n0,X2)
| leq(uniform_int_rnd(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom16]) ).
cnf(c_0_353_0,axiom,
( ~ leq(n0,X2)
| leq(n0,uniform_int_rnd(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom16]) ).
cnf(c_0_354_0,axiom,
( gt(X2,X1)
| X1 = X2
| ~ leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_354,def_lhs_atom10]) ).
cnf(c_0_355_0,axiom,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_355,def_lhs_atom36]) ).
cnf(c_0_356_0,axiom,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_356,def_lhs_atom12]) ).
cnf(c_0_357_0,axiom,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom8]) ).
cnf(c_0_358_0,axiom,
( lt(X2,X1)
| ~ gt(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_358,def_lhs_atom6]) ).
cnf(c_0_359_0,axiom,
( ~ leq(X2,X1)
| gt(succ(X1),X2) ),
inference(unfold_definition,[status(thm)],[c_0_359,def_lhs_atom14]) ).
cnf(c_0_360_0,axiom,
( ~ leq(X1,X2)
| leq(X1,succ(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_360,def_lhs_atom14]) ).
cnf(c_0_361_0,axiom,
( ~ leq(succ(X2),X1)
| gt(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_361,def_lhs_atom37]) ).
cnf(c_0_362_0,axiom,
( ~ leq(succ(X1),succ(X2))
| leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_362,def_lhs_atom35]) ).
cnf(c_0_363_0,axiom,
( ~ leq(X2,pred(X1))
| gt(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_363,def_lhs_atom11]) ).
cnf(c_0_364_0,axiom,
( ~ gt(X2,X1)
| leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_364,def_lhs_atom9]) ).
cnf(c_0_365_0,axiom,
( ~ geq(X2,X1)
| leq(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_365,def_lhs_atom7]) ).
cnf(c_0_366_0,axiom,
( ~ lt(X2,X1)
| gt(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_366,def_lhs_atom5]) ).
cnf(c_0_367_0,axiom,
( ~ leq(minus(X2,X1),X2)
| leq(n0,X1) ),
inference(unfold_definition,[status(thm)],[c_0_367,def_lhs_atom38]) ).
cnf(c_0_346_0,axiom,
a_select3(tptp_update3(X1,X4,X3,X2),X4,X3) = X2,
inference(unfold_definition,[status(thm)],[c_0_346,def_lhs_atom39]) ).
cnf(c_0_349_0,axiom,
a_select2(tptp_update2(X1,X3,X2),X3) = X2,
inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom42]) ).
cnf(c_0_368_0,axiom,
succ(pred(X1)) = X1,
inference(unfold_definition,[status(thm)],[c_0_368,def_lhs_atom34]) ).
cnf(c_0_369_0,axiom,
pred(succ(X1)) = X1,
inference(unfold_definition,[status(thm)],[c_0_369,def_lhs_atom33]) ).
cnf(c_0_370_0,axiom,
minus(X1,n1) = pred(X1),
inference(unfold_definition,[status(thm)],[c_0_370,def_lhs_atom32]) ).
cnf(c_0_371_0,axiom,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(unfold_definition,[status(thm)],[c_0_371,def_lhs_atom31]) ).
cnf(c_0_372_0,axiom,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(unfold_definition,[status(thm)],[c_0_372,def_lhs_atom30]) ).
cnf(c_0_373_0,axiom,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(unfold_definition,[status(thm)],[c_0_373,def_lhs_atom29]) ).
cnf(c_0_374_0,axiom,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(unfold_definition,[status(thm)],[c_0_374,def_lhs_atom28]) ).
cnf(c_0_375_0,axiom,
plus(n3,X1) = succ(succ(succ(X1))),
inference(unfold_definition,[status(thm)],[c_0_375,def_lhs_atom27]) ).
cnf(c_0_376_0,axiom,
plus(X1,n3) = succ(succ(succ(X1))),
inference(unfold_definition,[status(thm)],[c_0_376,def_lhs_atom26]) ).
cnf(c_0_377_0,axiom,
plus(n2,X1) = succ(succ(X1)),
inference(unfold_definition,[status(thm)],[c_0_377,def_lhs_atom25]) ).
cnf(c_0_378_0,axiom,
plus(X1,n2) = succ(succ(X1)),
inference(unfold_definition,[status(thm)],[c_0_378,def_lhs_atom24]) ).
cnf(c_0_379_0,axiom,
plus(n1,X1) = succ(X1),
inference(unfold_definition,[status(thm)],[c_0_379,def_lhs_atom23]) ).
cnf(c_0_380_0,axiom,
plus(X1,n1) = succ(X1),
inference(unfold_definition,[status(thm)],[c_0_380,def_lhs_atom22]) ).
cnf(c_0_381_0,axiom,
sum(n0,tptp_minus_1,X1) = tptp_float_0_0,
inference(unfold_definition,[status(thm)],[c_0_381,def_lhs_atom20]) ).
cnf(c_0_382_0,axiom,
sum(n0,tptp_minus_1,X1) = n0,
inference(unfold_definition,[status(thm)],[c_0_382,def_lhs_atom19]) ).
cnf(c_0_383_0,axiom,
gt(succ(X1),X1),
inference(unfold_definition,[status(thm)],[c_0_383,def_lhs_atom13]) ).
cnf(c_0_384_0,axiom,
leq(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_384,def_lhs_atom3]) ).
cnf(c_0_385_0,axiom,
~ gt(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_385,def_lhs_atom2]) ).
cnf(c_0_386_0,axiom,
succ(succ(succ(n0))) = n3,
inference(unfold_definition,[status(thm)],[c_0_386,def_lhs_atom80]) ).
cnf(c_0_387_0,axiom,
succ(succ(n0)) = n2,
inference(unfold_definition,[status(thm)],[c_0_387,def_lhs_atom79]) ).
cnf(c_0_388_0,axiom,
succ(n0) = n1,
inference(unfold_definition,[status(thm)],[c_0_388,def_lhs_atom78]) ).
cnf(c_0_389_0,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(unfold_definition,[status(thm)],[c_0_389,def_lhs_atom77]) ).
cnf(c_0_390_0,axiom,
succ(succ(succ(succ(n0)))) = n4,
inference(unfold_definition,[status(thm)],[c_0_390,def_lhs_atom76]) ).
cnf(c_0_391_0,axiom,
gt(n135299,n3),
inference(unfold_definition,[status(thm)],[c_0_391,def_lhs_atom74]) ).
cnf(c_0_392_0,axiom,
gt(n5,n3),
inference(unfold_definition,[status(thm)],[c_0_392,def_lhs_atom73]) ).
cnf(c_0_393_0,axiom,
gt(n4,n3),
inference(unfold_definition,[status(thm)],[c_0_393,def_lhs_atom72]) ).
cnf(c_0_394_0,axiom,
gt(n3,n2),
inference(unfold_definition,[status(thm)],[c_0_394,def_lhs_atom71]) ).
cnf(c_0_395_0,axiom,
gt(n135299,n2),
inference(unfold_definition,[status(thm)],[c_0_395,def_lhs_atom70]) ).
cnf(c_0_396_0,axiom,
gt(n5,n2),
inference(unfold_definition,[status(thm)],[c_0_396,def_lhs_atom69]) ).
cnf(c_0_397_0,axiom,
gt(n4,n2),
inference(unfold_definition,[status(thm)],[c_0_397,def_lhs_atom68]) ).
cnf(c_0_398_0,axiom,
gt(n3,n1),
inference(unfold_definition,[status(thm)],[c_0_398,def_lhs_atom67]) ).
cnf(c_0_399_0,axiom,
gt(n2,n1),
inference(unfold_definition,[status(thm)],[c_0_399,def_lhs_atom66]) ).
cnf(c_0_400_0,axiom,
gt(n135299,n1),
inference(unfold_definition,[status(thm)],[c_0_400,def_lhs_atom65]) ).
cnf(c_0_401_0,axiom,
gt(n5,n1),
inference(unfold_definition,[status(thm)],[c_0_401,def_lhs_atom64]) ).
cnf(c_0_402_0,axiom,
gt(n4,n1),
inference(unfold_definition,[status(thm)],[c_0_402,def_lhs_atom63]) ).
cnf(c_0_403_0,axiom,
gt(n3,n0),
inference(unfold_definition,[status(thm)],[c_0_403,def_lhs_atom62]) ).
cnf(c_0_404_0,axiom,
gt(n2,n0),
inference(unfold_definition,[status(thm)],[c_0_404,def_lhs_atom61]) ).
cnf(c_0_405_0,axiom,
gt(n1,n0),
inference(unfold_definition,[status(thm)],[c_0_405,def_lhs_atom60]) ).
cnf(c_0_406_0,axiom,
gt(n135299,n0),
inference(unfold_definition,[status(thm)],[c_0_406,def_lhs_atom59]) ).
cnf(c_0_407_0,axiom,
gt(n5,n0),
inference(unfold_definition,[status(thm)],[c_0_407,def_lhs_atom58]) ).
cnf(c_0_408_0,axiom,
gt(n4,n0),
inference(unfold_definition,[status(thm)],[c_0_408,def_lhs_atom57]) ).
cnf(c_0_409_0,axiom,
gt(n3,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_409,def_lhs_atom56]) ).
cnf(c_0_410_0,axiom,
gt(n2,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_410,def_lhs_atom55]) ).
cnf(c_0_411_0,axiom,
gt(n1,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_411,def_lhs_atom54]) ).
cnf(c_0_412_0,axiom,
gt(n0,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_412,def_lhs_atom53]) ).
cnf(c_0_413_0,axiom,
gt(n135299,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_413,def_lhs_atom52]) ).
cnf(c_0_414_0,axiom,
gt(n5,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_414,def_lhs_atom51]) ).
cnf(c_0_415_0,axiom,
gt(n4,tptp_minus_1),
inference(unfold_definition,[status(thm)],[c_0_415,def_lhs_atom50]) ).
cnf(c_0_416_0,axiom,
gt(n135299,n5),
inference(unfold_definition,[status(thm)],[c_0_416,def_lhs_atom49]) ).
cnf(c_0_417_0,axiom,
gt(n135299,n4),
inference(unfold_definition,[status(thm)],[c_0_417,def_lhs_atom48]) ).
cnf(c_0_418_0,axiom,
gt(n5,n4),
inference(unfold_definition,[status(thm)],[c_0_418,def_lhs_atom47]) ).
cnf(c_0_419_0,axiom,
def != use,
inference(unfold_definition,[status(thm)],[c_0_419,def_lhs_atom46]) ).
cnf(c_0_420_0,axiom,
true,
inference(unfold_definition,[status(thm)],[c_0_420,def_lhs_atom45]) ).
cnf(c_0_421_0,axiom,
succ(tptp_minus_1) = n0,
inference(unfold_definition,[status(thm)],[c_0_421,def_lhs_atom21]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X9)
& leq(n0,X11)
& leq(X11,X9) )
=> a_select3(X5,X10,X11) = a_select3(X5,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X7,X10,X11) = a_select3(X7,X11,X10) ) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X7,trans(X6)))),trans(X3)))),X10,X11) = a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X7,trans(X6)))),trans(X3)))),X11,X10) ) ),
file('<stdin>',matrix_symm_joseph_update) ).
fof(c_0_1_002,axiom,
! [X2,X3,X8] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) ) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_madd(X2,X3),X10,X11) = a_select3(tptp_madd(X2,X3),X11,X10) ) ),
file('<stdin>',matrix_symm_add) ).
fof(c_0_2_003,axiom,
! [X2,X3,X8] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) ) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_msub(X2,X3),X10,X11) = a_select3(tptp_msub(X2,X3),X11,X10) ) ),
file('<stdin>',matrix_symm_sub) ).
fof(c_0_3_004,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11,X12,X13] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8)
& leq(n0,X12)
& leq(X12,X8) )
=> a_select3(tptp_update3(X2,X12,X12,X13),X10,X11) = a_select3(tptp_update3(X2,X12,X12,X13),X11,X10) ) ),
file('<stdin>',matrix_symm_update_diagonal) ).
fof(c_0_4_005,axiom,
! [X2,X3,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X10,X11) = a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X11,X10) ) ),
file('<stdin>',matrix_symm_aba1) ).
fof(c_0_5_006,axiom,
! [X2,X3,X8,X9] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X9)
& leq(n0,X11)
& leq(X11,X9) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X10,X11) = a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X11,X10) ) ),
file('<stdin>',matrix_symm_aba2) ).
fof(c_0_6_007,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(trans(X2),X10,X11) = a_select3(trans(X2),X11,X10) ) ),
file('<stdin>',matrix_symm_trans) ).
fof(c_0_7_008,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(inv(X2),X10,X11) = a_select3(inv(X2),X11,X10) ) ),
file('<stdin>',matrix_symm_inv) ).
fof(c_0_8_009,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_9_010,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_10_011,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
file('<stdin>',finite_domain_3) ).
fof(c_0_11_012,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('<stdin>',finite_domain_2) ).
fof(c_0_12_013,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('<stdin>',finite_domain_1) ).
fof(c_0_13_014,axiom,
! [X1,X14] :
( gt(X1,X14)
| gt(X14,X1)
| X1 = X14 ),
file('<stdin>',totality) ).
fof(c_0_14_015,plain,
! [X2,X8,X7] :
( epred1_3(X7,X8,X2)
<=> ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X7,X10,X11) = a_select3(X7,X11,X10) ) ) ),
introduced(definition) ).
fof(c_0_15_016,axiom,
! [X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X9)
& leq(n0,X11)
& leq(X11,X9) )
=> a_select3(X5,X10,X11) = a_select3(X5,X11,X10) )
& epred1_3(X7,X8,X2) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X7,trans(X6)))),trans(X3)))),X10,X11) = a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X7,trans(X6)))),trans(X3)))),X11,X10) ) ),
inference(apply_def,[status(thm)],[c_0_0,c_0_14,theory(equality,[symmetry])]) ).
fof(c_0_16_017,axiom,
! [X2,X3,X8] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) ) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_madd(X2,X3),X10,X11) = a_select3(tptp_madd(X2,X3),X11,X10) ) ),
c_0_1 ).
fof(c_0_17_018,axiom,
! [X2,X3,X8] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) ) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_msub(X2,X3),X10,X11) = a_select3(tptp_msub(X2,X3),X11,X10) ) ),
c_0_2 ).
fof(c_0_18_019,plain,
! [X2,X8,X7] :
( ( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
& ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X7,X10,X11) = a_select3(X7,X11,X10) ) )
=> epred1_3(X7,X8,X2) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
fof(c_0_19_020,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11,X12,X13] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8)
& leq(n0,X12)
& leq(X12,X8) )
=> a_select3(tptp_update3(X2,X12,X12,X13),X10,X11) = a_select3(tptp_update3(X2,X12,X12,X13),X11,X10) ) ),
c_0_3 ).
fof(c_0_20_021,axiom,
! [X2,X3,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X10,X11) = a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X11,X10) ) ),
c_0_4 ).
fof(c_0_21_022,axiom,
! [X2,X3,X8,X9] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X9)
& leq(n0,X11)
& leq(X11,X9) )
=> a_select3(X3,X10,X11) = a_select3(X3,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X10,X11) = a_select3(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),X11,X10) ) ),
c_0_5 ).
fof(c_0_22_023,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(trans(X2),X10,X11) = a_select3(trans(X2),X11,X10) ) ),
c_0_6 ).
fof(c_0_23_024,axiom,
! [X2,X8] :
( ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(X2,X10,X11) = a_select3(X2,X11,X10) )
=> ! [X10,X11] :
( ( leq(n0,X10)
& leq(X10,X8)
& leq(n0,X11)
& leq(X11,X8) )
=> a_select3(inv(X2),X10,X11) = a_select3(inv(X2),X11,X10) ) ),
c_0_7 ).
fof(c_0_24_025,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
c_0_8 ).
fof(c_0_25_026,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ) ),
c_0_9 ).
fof(c_0_26_027,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
c_0_10 ).
fof(c_0_27_028,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
c_0_11 ).
fof(c_0_28_029,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
c_0_12 ).
fof(c_0_29_030,axiom,
! [X1,X14] :
( gt(X1,X14)
| gt(X14,X1)
| X1 = X14 ),
c_0_13 ).
fof(c_0_30_031,plain,
! [X12,X13,X14,X15,X16,X17,X18,X19,X22,X23] :
( ( leq(n0,esk1_8(X12,X13,X14,X15,X16,X17,X18,X19))
| ~ epred1_3(X17,X18,X12)
| ~ leq(n0,X22)
| ~ leq(X22,X18)
| ~ leq(n0,X23)
| ~ leq(X23,X18)
| a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X22,X23) = a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X23,X22) )
& ( leq(esk1_8(X12,X13,X14,X15,X16,X17,X18,X19),X19)
| ~ epred1_3(X17,X18,X12)
| ~ leq(n0,X22)
| ~ leq(X22,X18)
| ~ leq(n0,X23)
| ~ leq(X23,X18)
| a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X22,X23) = a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X23,X22) )
& ( leq(n0,esk2_8(X12,X13,X14,X15,X16,X17,X18,X19))
| ~ epred1_3(X17,X18,X12)
| ~ leq(n0,X22)
| ~ leq(X22,X18)
| ~ leq(n0,X23)
| ~ leq(X23,X18)
| a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X22,X23) = a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X23,X22) )
& ( leq(esk2_8(X12,X13,X14,X15,X16,X17,X18,X19),X19)
| ~ epred1_3(X17,X18,X12)
| ~ leq(n0,X22)
| ~ leq(X22,X18)
| ~ leq(n0,X23)
| ~ leq(X23,X18)
| a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X22,X23) = a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X23,X22) )
& ( a_select3(X15,esk1_8(X12,X13,X14,X15,X16,X17,X18,X19),esk2_8(X12,X13,X14,X15,X16,X17,X18,X19)) != a_select3(X15,esk2_8(X12,X13,X14,X15,X16,X17,X18,X19),esk1_8(X12,X13,X14,X15,X16,X17,X18,X19))
| ~ epred1_3(X17,X18,X12)
| ~ leq(n0,X22)
| ~ leq(X22,X18)
| ~ leq(n0,X23)
| ~ leq(X23,X18)
| a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),X22,X23) = a_select3(tptp_madd(X12,tptp_mmul(X13,tptp_mmul(tptp_madd(tptp_mmul(X14,tptp_mmul(X15,trans(X14))),tptp_mmul(X16,tptp_mmul(X17,trans(X16)))),trans(X13)))),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_15])])])])])]) ).
fof(c_0_31_032,plain,
! [X12,X13,X14,X19,X20] :
( ( leq(n0,esk13_3(X12,X13,X14))
| leq(n0,esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk13_3(X12,X13,X14),X14)
| leq(n0,esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk14_3(X12,X13,X14))
| leq(n0,esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk14_3(X12,X13,X14),X14)
| leq(n0,esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( a_select3(X13,esk13_3(X12,X13,X14),esk14_3(X12,X13,X14)) != a_select3(X13,esk14_3(X12,X13,X14),esk13_3(X12,X13,X14))
| leq(n0,esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk13_3(X12,X13,X14))
| leq(esk11_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk13_3(X12,X13,X14),X14)
| leq(esk11_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk14_3(X12,X13,X14))
| leq(esk11_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk14_3(X12,X13,X14),X14)
| leq(esk11_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( a_select3(X13,esk13_3(X12,X13,X14),esk14_3(X12,X13,X14)) != a_select3(X13,esk14_3(X12,X13,X14),esk13_3(X12,X13,X14))
| leq(esk11_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk13_3(X12,X13,X14))
| leq(n0,esk12_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk13_3(X12,X13,X14),X14)
| leq(n0,esk12_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk14_3(X12,X13,X14))
| leq(n0,esk12_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk14_3(X12,X13,X14),X14)
| leq(n0,esk12_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( a_select3(X13,esk13_3(X12,X13,X14),esk14_3(X12,X13,X14)) != a_select3(X13,esk14_3(X12,X13,X14),esk13_3(X12,X13,X14))
| leq(n0,esk12_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk13_3(X12,X13,X14))
| leq(esk12_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk13_3(X12,X13,X14),X14)
| leq(esk12_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk14_3(X12,X13,X14))
| leq(esk12_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk14_3(X12,X13,X14),X14)
| leq(esk12_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( a_select3(X13,esk13_3(X12,X13,X14),esk14_3(X12,X13,X14)) != a_select3(X13,esk14_3(X12,X13,X14),esk13_3(X12,X13,X14))
| leq(esk12_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk13_3(X12,X13,X14))
| a_select3(X12,esk11_3(X12,X13,X14),esk12_3(X12,X13,X14)) != a_select3(X12,esk12_3(X12,X13,X14),esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk13_3(X12,X13,X14),X14)
| a_select3(X12,esk11_3(X12,X13,X14),esk12_3(X12,X13,X14)) != a_select3(X12,esk12_3(X12,X13,X14),esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(n0,esk14_3(X12,X13,X14))
| a_select3(X12,esk11_3(X12,X13,X14),esk12_3(X12,X13,X14)) != a_select3(X12,esk12_3(X12,X13,X14),esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( leq(esk14_3(X12,X13,X14),X14)
| a_select3(X12,esk11_3(X12,X13,X14),esk12_3(X12,X13,X14)) != a_select3(X12,esk12_3(X12,X13,X14),esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) )
& ( a_select3(X13,esk13_3(X12,X13,X14),esk14_3(X12,X13,X14)) != a_select3(X13,esk14_3(X12,X13,X14),esk13_3(X12,X13,X14))
| a_select3(X12,esk11_3(X12,X13,X14),esk12_3(X12,X13,X14)) != a_select3(X12,esk12_3(X12,X13,X14),esk11_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_madd(X12,X13),X19,X20) = a_select3(tptp_madd(X12,X13),X20,X19) ) ),
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_16])])])])]) ).
fof(c_0_32_033,plain,
! [X12,X13,X14,X19,X20] :
( ( leq(n0,esk9_3(X12,X13,X14))
| leq(n0,esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk9_3(X12,X13,X14),X14)
| leq(n0,esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk10_3(X12,X13,X14))
| leq(n0,esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk10_3(X12,X13,X14),X14)
| leq(n0,esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( a_select3(X13,esk9_3(X12,X13,X14),esk10_3(X12,X13,X14)) != a_select3(X13,esk10_3(X12,X13,X14),esk9_3(X12,X13,X14))
| leq(n0,esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk9_3(X12,X13,X14))
| leq(esk7_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk9_3(X12,X13,X14),X14)
| leq(esk7_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk10_3(X12,X13,X14))
| leq(esk7_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk10_3(X12,X13,X14),X14)
| leq(esk7_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( a_select3(X13,esk9_3(X12,X13,X14),esk10_3(X12,X13,X14)) != a_select3(X13,esk10_3(X12,X13,X14),esk9_3(X12,X13,X14))
| leq(esk7_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk9_3(X12,X13,X14))
| leq(n0,esk8_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk9_3(X12,X13,X14),X14)
| leq(n0,esk8_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk10_3(X12,X13,X14))
| leq(n0,esk8_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk10_3(X12,X13,X14),X14)
| leq(n0,esk8_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( a_select3(X13,esk9_3(X12,X13,X14),esk10_3(X12,X13,X14)) != a_select3(X13,esk10_3(X12,X13,X14),esk9_3(X12,X13,X14))
| leq(n0,esk8_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk9_3(X12,X13,X14))
| leq(esk8_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk9_3(X12,X13,X14),X14)
| leq(esk8_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk10_3(X12,X13,X14))
| leq(esk8_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk10_3(X12,X13,X14),X14)
| leq(esk8_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( a_select3(X13,esk9_3(X12,X13,X14),esk10_3(X12,X13,X14)) != a_select3(X13,esk10_3(X12,X13,X14),esk9_3(X12,X13,X14))
| leq(esk8_3(X12,X13,X14),X14)
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk9_3(X12,X13,X14))
| a_select3(X12,esk7_3(X12,X13,X14),esk8_3(X12,X13,X14)) != a_select3(X12,esk8_3(X12,X13,X14),esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk9_3(X12,X13,X14),X14)
| a_select3(X12,esk7_3(X12,X13,X14),esk8_3(X12,X13,X14)) != a_select3(X12,esk8_3(X12,X13,X14),esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(n0,esk10_3(X12,X13,X14))
| a_select3(X12,esk7_3(X12,X13,X14),esk8_3(X12,X13,X14)) != a_select3(X12,esk8_3(X12,X13,X14),esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( leq(esk10_3(X12,X13,X14),X14)
| a_select3(X12,esk7_3(X12,X13,X14),esk8_3(X12,X13,X14)) != a_select3(X12,esk8_3(X12,X13,X14),esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) )
& ( a_select3(X13,esk9_3(X12,X13,X14),esk10_3(X12,X13,X14)) != a_select3(X13,esk10_3(X12,X13,X14),esk9_3(X12,X13,X14))
| a_select3(X12,esk7_3(X12,X13,X14),esk8_3(X12,X13,X14)) != a_select3(X12,esk8_3(X12,X13,X14),esk7_3(X12,X13,X14))
| ~ leq(n0,X19)
| ~ leq(X19,X14)
| ~ leq(n0,X20)
| ~ leq(X20,X14)
| a_select3(tptp_msub(X12,X13),X19,X20) = a_select3(tptp_msub(X12,X13),X20,X19) ) ),
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_17])])])])]) ).
fof(c_0_33_034,plain,
! [X12,X13,X14] :
( ( leq(n0,esk23_3(X12,X13,X14))
| leq(n0,esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk23_3(X12,X13,X14),X13)
| leq(n0,esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk24_3(X12,X13,X14))
| leq(n0,esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk24_3(X12,X13,X14),X13)
| leq(n0,esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( a_select3(X14,esk23_3(X12,X13,X14),esk24_3(X12,X13,X14)) != a_select3(X14,esk24_3(X12,X13,X14),esk23_3(X12,X13,X14))
| leq(n0,esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk23_3(X12,X13,X14))
| leq(esk21_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(esk23_3(X12,X13,X14),X13)
| leq(esk21_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk24_3(X12,X13,X14))
| leq(esk21_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(esk24_3(X12,X13,X14),X13)
| leq(esk21_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( a_select3(X14,esk23_3(X12,X13,X14),esk24_3(X12,X13,X14)) != a_select3(X14,esk24_3(X12,X13,X14),esk23_3(X12,X13,X14))
| leq(esk21_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk23_3(X12,X13,X14))
| leq(n0,esk22_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk23_3(X12,X13,X14),X13)
| leq(n0,esk22_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk24_3(X12,X13,X14))
| leq(n0,esk22_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk24_3(X12,X13,X14),X13)
| leq(n0,esk22_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( a_select3(X14,esk23_3(X12,X13,X14),esk24_3(X12,X13,X14)) != a_select3(X14,esk24_3(X12,X13,X14),esk23_3(X12,X13,X14))
| leq(n0,esk22_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk23_3(X12,X13,X14))
| leq(esk22_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(esk23_3(X12,X13,X14),X13)
| leq(esk22_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk24_3(X12,X13,X14))
| leq(esk22_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(esk24_3(X12,X13,X14),X13)
| leq(esk22_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( a_select3(X14,esk23_3(X12,X13,X14),esk24_3(X12,X13,X14)) != a_select3(X14,esk24_3(X12,X13,X14),esk23_3(X12,X13,X14))
| leq(esk22_3(X12,X13,X14),X13)
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk23_3(X12,X13,X14))
| a_select3(X12,esk21_3(X12,X13,X14),esk22_3(X12,X13,X14)) != a_select3(X12,esk22_3(X12,X13,X14),esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk23_3(X12,X13,X14),X13)
| a_select3(X12,esk21_3(X12,X13,X14),esk22_3(X12,X13,X14)) != a_select3(X12,esk22_3(X12,X13,X14),esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(n0,esk24_3(X12,X13,X14))
| a_select3(X12,esk21_3(X12,X13,X14),esk22_3(X12,X13,X14)) != a_select3(X12,esk22_3(X12,X13,X14),esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( leq(esk24_3(X12,X13,X14),X13)
| a_select3(X12,esk21_3(X12,X13,X14),esk22_3(X12,X13,X14)) != a_select3(X12,esk22_3(X12,X13,X14),esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) )
& ( a_select3(X14,esk23_3(X12,X13,X14),esk24_3(X12,X13,X14)) != a_select3(X14,esk24_3(X12,X13,X14),esk23_3(X12,X13,X14))
| a_select3(X12,esk21_3(X12,X13,X14),esk22_3(X12,X13,X14)) != a_select3(X12,esk22_3(X12,X13,X14),esk21_3(X12,X13,X14))
| epred1_3(X14,X13,X12) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_34_035,plain,
! [X14,X15,X18,X19,X20,X21] :
( ( leq(n0,esk15_2(X14,X15))
| ~ leq(n0,X18)
| ~ leq(X18,X15)
| ~ leq(n0,X19)
| ~ leq(X19,X15)
| ~ leq(n0,X20)
| ~ leq(X20,X15)
| a_select3(tptp_update3(X14,X20,X20,X21),X18,X19) = a_select3(tptp_update3(X14,X20,X20,X21),X19,X18) )
& ( leq(esk15_2(X14,X15),X15)
| ~ leq(n0,X18)
| ~ leq(X18,X15)
| ~ leq(n0,X19)
| ~ leq(X19,X15)
| ~ leq(n0,X20)
| ~ leq(X20,X15)
| a_select3(tptp_update3(X14,X20,X20,X21),X18,X19) = a_select3(tptp_update3(X14,X20,X20,X21),X19,X18) )
& ( leq(n0,esk16_2(X14,X15))
| ~ leq(n0,X18)
| ~ leq(X18,X15)
| ~ leq(n0,X19)
| ~ leq(X19,X15)
| ~ leq(n0,X20)
| ~ leq(X20,X15)
| a_select3(tptp_update3(X14,X20,X20,X21),X18,X19) = a_select3(tptp_update3(X14,X20,X20,X21),X19,X18) )
& ( leq(esk16_2(X14,X15),X15)
| ~ leq(n0,X18)
| ~ leq(X18,X15)
| ~ leq(n0,X19)
| ~ leq(X19,X15)
| ~ leq(n0,X20)
| ~ leq(X20,X15)
| a_select3(tptp_update3(X14,X20,X20,X21),X18,X19) = a_select3(tptp_update3(X14,X20,X20,X21),X19,X18) )
& ( a_select3(X14,esk15_2(X14,X15),esk16_2(X14,X15)) != a_select3(X14,esk16_2(X14,X15),esk15_2(X14,X15))
| ~ leq(n0,X18)
| ~ leq(X18,X15)
| ~ leq(n0,X19)
| ~ leq(X19,X15)
| ~ leq(n0,X20)
| ~ leq(X20,X15)
| a_select3(tptp_update3(X14,X20,X20,X21),X18,X19) = a_select3(tptp_update3(X14,X20,X20,X21),X19,X18) ) ),
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_19])])])])])]) ).
fof(c_0_35_036,plain,
! [X12,X13,X14,X17,X18] :
( ( leq(n0,esk5_3(X12,X13,X14))
| ~ leq(n0,X17)
| ~ leq(X17,X14)
| ~ leq(n0,X18)
| ~ leq(X18,X14)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X17,X18) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X17) )
& ( leq(esk5_3(X12,X13,X14),X14)
| ~ leq(n0,X17)
| ~ leq(X17,X14)
| ~ leq(n0,X18)
| ~ leq(X18,X14)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X17,X18) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X17) )
& ( leq(n0,esk6_3(X12,X13,X14))
| ~ leq(n0,X17)
| ~ leq(X17,X14)
| ~ leq(n0,X18)
| ~ leq(X18,X14)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X17,X18) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X17) )
& ( leq(esk6_3(X12,X13,X14),X14)
| ~ leq(n0,X17)
| ~ leq(X17,X14)
| ~ leq(n0,X18)
| ~ leq(X18,X14)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X17,X18) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X17) )
& ( a_select3(X13,esk5_3(X12,X13,X14),esk6_3(X12,X13,X14)) != a_select3(X13,esk6_3(X12,X13,X14),esk5_3(X12,X13,X14))
| ~ leq(n0,X17)
| ~ leq(X17,X14)
| ~ leq(n0,X18)
| ~ leq(X18,X14)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X17,X18) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X17) ) ),
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_20])])])])]) ).
fof(c_0_36_037,plain,
! [X12,X13,X14,X17,X18,X19] :
( ( leq(n0,esk3_3(X12,X13,X14))
| ~ leq(n0,X18)
| ~ leq(X18,X17)
| ~ leq(n0,X19)
| ~ leq(X19,X17)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X19) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X19,X18) )
& ( leq(esk3_3(X12,X13,X14),X14)
| ~ leq(n0,X18)
| ~ leq(X18,X17)
| ~ leq(n0,X19)
| ~ leq(X19,X17)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X19) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X19,X18) )
& ( leq(n0,esk4_3(X12,X13,X14))
| ~ leq(n0,X18)
| ~ leq(X18,X17)
| ~ leq(n0,X19)
| ~ leq(X19,X17)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X19) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X19,X18) )
& ( leq(esk4_3(X12,X13,X14),X14)
| ~ leq(n0,X18)
| ~ leq(X18,X17)
| ~ leq(n0,X19)
| ~ leq(X19,X17)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X19) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X19,X18) )
& ( a_select3(X13,esk3_3(X12,X13,X14),esk4_3(X12,X13,X14)) != a_select3(X13,esk4_3(X12,X13,X14),esk3_3(X12,X13,X14))
| ~ leq(n0,X18)
| ~ leq(X18,X17)
| ~ leq(n0,X19)
| ~ leq(X19,X17)
| a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X18,X19) = a_select3(tptp_mmul(X12,tptp_mmul(X13,trans(X12))),X19,X18) ) ),
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_21])])])])])]) ).
fof(c_0_37_038,plain,
! [X12,X13,X16,X17] :
( ( leq(n0,esk19_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(trans(X12),X16,X17) = a_select3(trans(X12),X17,X16) )
& ( leq(esk19_2(X12,X13),X13)
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(trans(X12),X16,X17) = a_select3(trans(X12),X17,X16) )
& ( leq(n0,esk20_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(trans(X12),X16,X17) = a_select3(trans(X12),X17,X16) )
& ( leq(esk20_2(X12,X13),X13)
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(trans(X12),X16,X17) = a_select3(trans(X12),X17,X16) )
& ( a_select3(X12,esk19_2(X12,X13),esk20_2(X12,X13)) != a_select3(X12,esk20_2(X12,X13),esk19_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(trans(X12),X16,X17) = a_select3(trans(X12),X17,X16) ) ),
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_22])])])])]) ).
fof(c_0_38_039,plain,
! [X12,X13,X16,X17] :
( ( leq(n0,esk17_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(inv(X12),X16,X17) = a_select3(inv(X12),X17,X16) )
& ( leq(esk17_2(X12,X13),X13)
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(inv(X12),X16,X17) = a_select3(inv(X12),X17,X16) )
& ( leq(n0,esk18_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(inv(X12),X16,X17) = a_select3(inv(X12),X17,X16) )
& ( leq(esk18_2(X12,X13),X13)
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(inv(X12),X16,X17) = a_select3(inv(X12),X17,X16) )
& ( a_select3(X12,esk17_2(X12,X13),esk18_2(X12,X13)) != a_select3(X12,esk18_2(X12,X13),esk17_2(X12,X13))
| ~ leq(n0,X16)
| ~ leq(X16,X13)
| ~ leq(n0,X17)
| ~ leq(X17,X13)
| a_select3(inv(X12),X16,X17) = a_select3(inv(X12),X17,X16) ) ),
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_23])])])])]) ).
fof(c_0_39_040,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_24])]) ).
fof(c_0_40_041,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_25])]) ).
fof(c_0_41_042,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_26])]) ).
fof(c_0_42_043,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_27])]) ).
fof(c_0_43_044,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n1)
| X2 = n0
| X2 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])]) ).
fof(c_0_44_045,plain,
! [X15,X16] :
( gt(X15,X16)
| gt(X16,X15)
| X15 = X16 ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
cnf(c_0_45_046,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,esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46_047,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(esk1_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_30]) ).
cnf(c_0_47_048,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(esk2_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_30]) ).
cnf(c_0_48_049,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,esk1_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_30]) ).
cnf(c_0_49_050,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,esk2_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_30]) ).
cnf(c_0_50_051,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,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_31]) ).
cnf(c_0_51_052,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,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_32]) ).
cnf(c_0_52_053,plain,
( epred1_3(X1,X2,X3)
| a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) != a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1))
| a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53_054,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,esk15_2(X1,X6),esk16_2(X1,X6)) != a_select3(X1,esk16_2(X1,X6),esk15_2(X1,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_54_055,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk15_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_34]) ).
cnf(c_0_55_056,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk16_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_34]) ).
cnf(c_0_56_057,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk15_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_34]) ).
cnf(c_0_57_058,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk16_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_34]) ).
cnf(c_0_58_059,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,esk5_3(X1,X2,X5),esk6_3(X1,X2,X5)) != a_select3(X2,esk6_3(X1,X2,X5),esk5_3(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_59_060,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,esk3_3(X1,X2,X6),esk4_3(X1,X2,X6)) != a_select3(X2,esk4_3(X1,X2,X6),esk3_3(X1,X2,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_60_061,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_61_062,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_62_063,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_63_064,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_64_065,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_65_066,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_66_067,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_67_068,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_68_069,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_69_070,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_70_071,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_71_072,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_72_073,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_73_074,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_74_075,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_75_076,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_76_077,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_77_078,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_78_079,plain,
( epred1_3(X1,X2,X3)
| leq(esk23_3(X3,X2,X1),X2)
| a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) != a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_79_080,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) != a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_80_081,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_81_082,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) != a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_82_083,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk23_3(X3,X2,X1))
| a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) != a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_83_084,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) != a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_84_085,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,esk19_2(X1,X4),esk20_2(X1,X4)) != a_select3(X1,esk20_2(X1,X4),esk19_2(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_85_086,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,esk17_2(X1,X4),esk18_2(X1,X4)) != a_select3(X1,esk18_2(X1,X4),esk17_2(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_86_087,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(esk5_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_87_088,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(esk6_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_88_089,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(esk3_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_89_090,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(esk4_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_90_091,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,esk5_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_91_092,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,esk6_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_92_093,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,esk3_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_93_094,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,esk4_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_94_095,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_95_096,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_96_097,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_97_098,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_98_099,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_99_100,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_100_101,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_101_102,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_102_103,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_103_104,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_104_105,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_105_106,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_106_107,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_107_108,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_108_109,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_109_110,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_110_111,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_111_112,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_112_113,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_113_114,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_114_115,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_115_116,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_116_117,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_117_118,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_118_119,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_119_120,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_120_121,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_121_122,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_31]) ).
cnf(c_0_122_123,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_123_124,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_124_125,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_125_126,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_32]) ).
cnf(c_0_126_127,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(esk23_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_127_128,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(esk24_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_128_129,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(esk23_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_129_130,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(esk24_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_130_131,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(esk23_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_131_132,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(esk24_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_132_133,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(n0,esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_133_134,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(n0,esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_134_135,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(esk23_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_135_136,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(esk24_3(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_136_137,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(n0,esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_137_138,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(n0,esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_138_139,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(n0,esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_139_140,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(n0,esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_140_141,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(n0,esk23_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_141_142,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(n0,esk24_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_142_143,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk19_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_143_144,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk20_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_144_145,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk17_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_145_146,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk18_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_146_147,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk19_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_147_148,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk20_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_148_149,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk17_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_149_150,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk18_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_150_151,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_39]) ).
cnf(c_0_151_152,plain,
( X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_152_153,plain,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_153_154,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_154_155,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_155_156,plain,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_156_157,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,esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
c_0_45,
[final] ).
cnf(c_0_157_158,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(esk1_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_46,
[final] ).
cnf(c_0_158_159,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(esk2_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_47,
[final] ).
cnf(c_0_159_160,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,esk1_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_48,
[final] ).
cnf(c_0_160_161,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,esk2_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_49,
[final] ).
cnf(c_0_161_162,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,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_50,
[final] ).
cnf(c_0_162_163,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,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_51,
[final] ).
cnf(c_0_163_164,plain,
( epred1_3(X1,X2,X3)
| a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) != a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1))
| a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) != a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
c_0_52,
[final] ).
cnf(c_0_164_165,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,esk16_2(X1,X6),esk15_2(X1,X6)) != a_select3(X1,esk15_2(X1,X6),esk16_2(X1,X6)) ),
c_0_53,
[final] ).
cnf(c_0_165_166,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk15_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_54,
[final] ).
cnf(c_0_166_167,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(esk16_2(X1,X6),X6)
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_55,
[final] ).
cnf(c_0_167_168,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk15_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_56,
[final] ).
cnf(c_0_168_169,plain,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,esk16_2(X1,X6))
| ~ leq(X2,X6)
| ~ leq(n0,X2)
| ~ leq(X5,X6)
| ~ leq(n0,X5)
| ~ leq(X4,X6)
| ~ leq(n0,X4) ),
c_0_57,
[final] ).
cnf(c_0_169_170,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,esk6_3(X1,X2,X5),esk5_3(X1,X2,X5)) != a_select3(X2,esk5_3(X1,X2,X5),esk6_3(X1,X2,X5)) ),
c_0_58,
[final] ).
cnf(c_0_170_171,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,esk4_3(X1,X2,X6),esk3_3(X1,X2,X6)) != a_select3(X2,esk3_3(X1,X2,X6),esk4_3(X1,X2,X6)) ),
c_0_59,
[final] ).
cnf(c_0_171_172,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_60,
[final] ).
cnf(c_0_172_173,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_61,
[final] ).
cnf(c_0_173_174,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_62,
[final] ).
cnf(c_0_174_175,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_63,
[final] ).
cnf(c_0_175_176,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_64,
[final] ).
cnf(c_0_176_177,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_65,
[final] ).
cnf(c_0_177_178,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_66,
[final] ).
cnf(c_0_178_179,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_67,
[final] ).
cnf(c_0_179_180,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_68,
[final] ).
cnf(c_0_180_181,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_69,
[final] ).
cnf(c_0_181_182,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_70,
[final] ).
cnf(c_0_182_183,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_71,
[final] ).
cnf(c_0_183_184,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_72,
[final] ).
cnf(c_0_184_185,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_73,
[final] ).
cnf(c_0_185_186,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_74,
[final] ).
cnf(c_0_186_187,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_75,
[final] ).
cnf(c_0_187_188,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) != a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
c_0_76,
[final] ).
cnf(c_0_188_189,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) != a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
c_0_77,
[final] ).
cnf(c_0_189_190,plain,
( epred1_3(X1,X2,X3)
| leq(esk23_3(X3,X2,X1),X2)
| a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) != a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) ),
c_0_78,
[final] ).
cnf(c_0_190_191,plain,
( epred1_3(X1,X2,X3)
| leq(esk24_3(X3,X2,X1),X2)
| a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) != a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) ),
c_0_79,
[final] ).
cnf(c_0_191_192,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) != a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
c_0_80,
[final] ).
cnf(c_0_192_193,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| a_select3(X1,esk24_3(X3,X2,X1),esk23_3(X3,X2,X1)) != a_select3(X1,esk23_3(X3,X2,X1),esk24_3(X3,X2,X1)) ),
c_0_81,
[final] ).
cnf(c_0_193_194,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk23_3(X3,X2,X1))
| a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) != a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) ),
c_0_82,
[final] ).
cnf(c_0_194_195,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk24_3(X3,X2,X1))
| a_select3(X3,esk22_3(X3,X2,X1),esk21_3(X3,X2,X1)) != a_select3(X3,esk21_3(X3,X2,X1),esk22_3(X3,X2,X1)) ),
c_0_83,
[final] ).
cnf(c_0_195_196,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,esk20_2(X1,X4),esk19_2(X1,X4)) != a_select3(X1,esk19_2(X1,X4),esk20_2(X1,X4)) ),
c_0_84,
[final] ).
cnf(c_0_196_197,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,esk18_2(X1,X4),esk17_2(X1,X4)) != a_select3(X1,esk17_2(X1,X4),esk18_2(X1,X4)) ),
c_0_85,
[final] ).
cnf(c_0_197_198,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(esk5_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_86,
[final] ).
cnf(c_0_198_199,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(esk6_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_87,
[final] ).
cnf(c_0_199_200,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(esk3_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_88,
[final] ).
cnf(c_0_200_201,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(esk4_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_89,
[final] ).
cnf(c_0_201_202,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,esk5_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_90,
[final] ).
cnf(c_0_202_203,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,esk6_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_91,
[final] ).
cnf(c_0_203_204,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,esk3_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_92,
[final] ).
cnf(c_0_204_205,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,esk4_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
c_0_93,
[final] ).
cnf(c_0_205_206,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_94,
[final] ).
cnf(c_0_206_207,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_95,
[final] ).
cnf(c_0_207_208,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_96,
[final] ).
cnf(c_0_208_209,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_97,
[final] ).
cnf(c_0_209_210,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_98,
[final] ).
cnf(c_0_210_211,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_99,
[final] ).
cnf(c_0_211_212,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_100,
[final] ).
cnf(c_0_212_213,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_101,
[final] ).
cnf(c_0_213_214,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_102,
[final] ).
cnf(c_0_214_215,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_103,
[final] ).
cnf(c_0_215_216,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_104,
[final] ).
cnf(c_0_216_217,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_105,
[final] ).
cnf(c_0_217_218,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_106,
[final] ).
cnf(c_0_218_219,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_107,
[final] ).
cnf(c_0_219_220,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_108,
[final] ).
cnf(c_0_220_221,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_109,
[final] ).
cnf(c_0_221_222,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_110,
[final] ).
cnf(c_0_222_223,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_111,
[final] ).
cnf(c_0_223_224,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_112,
[final] ).
cnf(c_0_224_225,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_113,
[final] ).
cnf(c_0_225_226,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_114,
[final] ).
cnf(c_0_226_227,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_115,
[final] ).
cnf(c_0_227_228,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_116,
[final] ).
cnf(c_0_228_229,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_117,
[final] ).
cnf(c_0_229_230,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_118,
[final] ).
cnf(c_0_230_231,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_119,
[final] ).
cnf(c_0_231_232,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_120,
[final] ).
cnf(c_0_232_233,plain,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(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_121,
[final] ).
cnf(c_0_233_234,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_122,
[final] ).
cnf(c_0_234_235,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_123,
[final] ).
cnf(c_0_235_236,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_124,
[final] ).
cnf(c_0_236_237,plain,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(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_125,
[final] ).
cnf(c_0_237_238,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(esk23_3(X3,X2,X1),X2) ),
c_0_126,
[final] ).
cnf(c_0_238_239,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(esk24_3(X3,X2,X1),X2) ),
c_0_127,
[final] ).
cnf(c_0_239_240,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(esk23_3(X3,X2,X1),X2) ),
c_0_128,
[final] ).
cnf(c_0_240_241,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(esk24_3(X3,X2,X1),X2) ),
c_0_129,
[final] ).
cnf(c_0_241_242,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(esk23_3(X3,X2,X1),X2) ),
c_0_130,
[final] ).
cnf(c_0_242_243,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(esk24_3(X3,X2,X1),X2) ),
c_0_131,
[final] ).
cnf(c_0_243_244,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(n0,esk23_3(X3,X2,X1)) ),
c_0_132,
[final] ).
cnf(c_0_244_245,plain,
( epred1_3(X1,X2,X3)
| leq(esk21_3(X3,X2,X1),X2)
| leq(n0,esk24_3(X3,X2,X1)) ),
c_0_133,
[final] ).
cnf(c_0_245_246,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(esk23_3(X3,X2,X1),X2) ),
c_0_134,
[final] ).
cnf(c_0_246_247,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(esk24_3(X3,X2,X1),X2) ),
c_0_135,
[final] ).
cnf(c_0_247_248,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(n0,esk23_3(X3,X2,X1)) ),
c_0_136,
[final] ).
cnf(c_0_248_249,plain,
( epred1_3(X1,X2,X3)
| leq(esk22_3(X3,X2,X1),X2)
| leq(n0,esk24_3(X3,X2,X1)) ),
c_0_137,
[final] ).
cnf(c_0_249_250,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(n0,esk23_3(X3,X2,X1)) ),
c_0_138,
[final] ).
cnf(c_0_250_251,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk21_3(X3,X2,X1))
| leq(n0,esk24_3(X3,X2,X1)) ),
c_0_139,
[final] ).
cnf(c_0_251_252,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(n0,esk23_3(X3,X2,X1)) ),
c_0_140,
[final] ).
cnf(c_0_252_253,plain,
( epred1_3(X1,X2,X3)
| leq(n0,esk22_3(X3,X2,X1))
| leq(n0,esk24_3(X3,X2,X1)) ),
c_0_141,
[final] ).
cnf(c_0_253_254,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk19_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_142,
[final] ).
cnf(c_0_254_255,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(esk20_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_143,
[final] ).
cnf(c_0_255_256,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk17_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_144,
[final] ).
cnf(c_0_256_257,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(esk18_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_145,
[final] ).
cnf(c_0_257_258,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk19_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_146,
[final] ).
cnf(c_0_258_259,plain,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,esk20_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_147,
[final] ).
cnf(c_0_259_260,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk17_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_148,
[final] ).
cnf(c_0_260_261,plain,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,esk18_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
c_0_149,
[final] ).
cnf(c_0_261_262,plain,
( X1 = n5
| X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n5)
| ~ leq(n0,X1) ),
c_0_150,
[final] ).
cnf(c_0_262_263,plain,
( X1 = n4
| X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n4)
| ~ leq(n0,X1) ),
c_0_151,
[final] ).
cnf(c_0_263_264,plain,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
c_0_152,
[final] ).
cnf(c_0_264_265,plain,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
c_0_153,
[final] ).
cnf(c_0_265_266,plain,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
c_0_154,
[final] ).
cnf(c_0_266_267,plain,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
c_0_155,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_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,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10)) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_6,axiom,
( a_select3(X4,sk2_esk2_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10)) != a_select3(X4,sk2_esk1_8(X1,X2,X3,X4,X5,X6,X9,X10),sk2_esk2_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_156]) ).
cnf(c_0_157_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(sk2_esk1_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_157]) ).
cnf(c_0_157_1,axiom,
( leq(sk2_esk1_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_157]) ).
cnf(c_0_157_2,axiom,
( ~ leq(X8,X9)
| leq(sk2_esk1_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_157]) ).
cnf(c_0_157_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk1_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_157]) ).
cnf(c_0_157_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk1_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_157]) ).
cnf(c_0_157_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk1_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_157]) ).
cnf(c_0_157_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk1_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_157]) ).
cnf(c_0_158_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(sk2_esk2_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_158]) ).
cnf(c_0_158_1,axiom,
( leq(sk2_esk2_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_158]) ).
cnf(c_0_158_2,axiom,
( ~ leq(X8,X9)
| leq(sk2_esk2_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_158]) ).
cnf(c_0_158_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk2_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_158]) ).
cnf(c_0_158_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk2_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_158]) ).
cnf(c_0_158_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk2_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_158]) ).
cnf(c_0_158_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(sk2_esk2_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_158]) ).
cnf(c_0_159_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,sk2_esk1_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_159]) ).
cnf(c_0_159_1,axiom,
( leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_159_2,axiom,
( ~ leq(X8,X9)
| leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_159_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_159_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_159_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_159_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk1_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_159]) ).
cnf(c_0_160_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,sk2_esk2_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_160]) ).
cnf(c_0_160_1,axiom,
( leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_160_2,axiom,
( ~ leq(X8,X9)
| leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_160_3,axiom,
( ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_160_4,axiom,
( ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_160_5,axiom,
( ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_160_6,axiom,
( ~ epred1_3(X6,X9,X1)
| ~ leq(n0,X7)
| ~ leq(X7,X9)
| ~ leq(n0,X8)
| ~ leq(X8,X9)
| leq(n0,sk2_esk2_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_160]) ).
cnf(c_0_161_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_5,axiom,
( a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_6,axiom,
( a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5))
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_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_161]) ).
cnf(c_0_162_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_5,axiom,
( a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_6,axiom,
( a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5))
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_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_162]) ).
cnf(c_0_163_0,axiom,
( epred1_3(X1,X2,X3)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1))
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_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,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_2(X1,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_7,axiom,
( a_select3(X1,sk2_esk16_2(X1,X6),sk2_esk15_2(X1,X6)) != a_select3(X1,sk2_esk15_2(X1,X6),sk2_esk16_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_164]) ).
cnf(c_0_165_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_1,axiom,
( leq(sk2_esk15_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_165]) ).
cnf(c_0_165_2,axiom,
( ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_165_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk15_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_165]) ).
cnf(c_0_166_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_1,axiom,
( leq(sk2_esk16_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_166]) ).
cnf(c_0_166_2,axiom,
( ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_166_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(sk2_esk16_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_166]) ).
cnf(c_0_167_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_1,axiom,
( leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_2,axiom,
( ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_167_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk15_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_167]) ).
cnf(c_0_168_0,axiom,
( a_select3(tptp_update3(X1,X2,X2,X3),X4,X5) = a_select3(tptp_update3(X1,X2,X2,X3),X5,X4)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_1,axiom,
( leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_2,axiom,
( ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_3,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_4,axiom,
( ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_5,axiom,
( ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_6,axiom,
( ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_168_7,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X6)
| ~ leq(n0,X5)
| ~ leq(X5,X6)
| ~ leq(n0,X2)
| ~ leq(X2,X6)
| leq(n0,sk2_esk16_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_168]) ).
cnf(c_0_169_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,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_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,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_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,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_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,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_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,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_5,axiom,
( a_select3(X2,sk2_esk6_3(X1,X2,X5),sk2_esk5_3(X1,X2,X5)) != a_select3(X2,sk2_esk5_3(X1,X2,X5),sk2_esk6_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_169]) ).
cnf(c_0_170_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,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_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,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_3(X1,X2,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_5,axiom,
( a_select3(X2,sk2_esk4_3(X1,X2,X6),sk2_esk3_3(X1,X2,X6)) != a_select3(X2,sk2_esk3_3(X1,X2,X6),sk2_esk4_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_170]) ).
cnf(c_0_171_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( leq(sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_6,axiom,
( a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk11_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_171]) ).
cnf(c_0_172_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( leq(sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_6,axiom,
( a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk12_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_172]) ).
cnf(c_0_173_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( leq(sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_6,axiom,
( a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_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_173]) ).
cnf(c_0_174_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( leq(sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_6,axiom,
( a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_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_174]) ).
cnf(c_0_175_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_1,axiom,
( leq(sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_175_6,axiom,
( a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk7_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_175]) ).
cnf(c_0_176_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_1,axiom,
( leq(sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_176_6,axiom,
( a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk8_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_176]) ).
cnf(c_0_177_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_1,axiom,
( leq(sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_177_6,axiom,
( a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_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_177]) ).
cnf(c_0_178_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_1,axiom,
( leq(sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_178_6,axiom,
( a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_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_178]) ).
cnf(c_0_179_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_1,axiom,
( leq(n0,sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk11_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_179]) ).
cnf(c_0_179_6,axiom,
( a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk11_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_179]) ).
cnf(c_0_180_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_1,axiom,
( leq(n0,sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk12_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,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_180]) ).
cnf(c_0_180_6,axiom,
( a_select3(X2,sk2_esk14_3(X1,X2,X5),sk2_esk13_3(X1,X2,X5)) != a_select3(X2,sk2_esk13_3(X1,X2,X5),sk2_esk14_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk12_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_180]) ).
cnf(c_0_181_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_1,axiom,
( leq(n0,sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_181]) ).
cnf(c_0_181_6,axiom,
( a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_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_181]) ).
cnf(c_0_182_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_1,axiom,
( leq(n0,sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_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,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_182]) ).
cnf(c_0_182_6,axiom,
( a_select3(X1,sk2_esk12_3(X1,X2,X5),sk2_esk11_3(X1,X2,X5)) != a_select3(X1,sk2_esk11_3(X1,X2,X5),sk2_esk12_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_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_182]) ).
cnf(c_0_183_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_1,axiom,
( leq(n0,sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk7_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_183]) ).
cnf(c_0_183_6,axiom,
( a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk7_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_183]) ).
cnf(c_0_184_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_1,axiom,
( leq(n0,sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk8_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,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_184]) ).
cnf(c_0_184_6,axiom,
( a_select3(X2,sk2_esk10_3(X1,X2,X5),sk2_esk9_3(X1,X2,X5)) != a_select3(X2,sk2_esk9_3(X1,X2,X5),sk2_esk10_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk8_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_184]) ).
cnf(c_0_185_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_1,axiom,
( leq(n0,sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_185]) ).
cnf(c_0_185_6,axiom,
( a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_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_185]) ).
cnf(c_0_186_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_1,axiom,
( leq(n0,sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_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,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_186]) ).
cnf(c_0_186_6,axiom,
( a_select3(X1,sk2_esk8_3(X1,X2,X5),sk2_esk7_3(X1,X2,X5)) != a_select3(X1,sk2_esk7_3(X1,X2,X5),sk2_esk8_3(X1,X2,X5))
| ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_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_186]) ).
cnf(c_0_187_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_1,axiom,
( leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_187_2,axiom,
( a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1))
| leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_187]) ).
cnf(c_0_188_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_1,axiom,
( leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_188_2,axiom,
( a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1))
| leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_188]) ).
cnf(c_0_189_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk23_3(X3,X2,X1),X2)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_1,axiom,
( leq(sk2_esk23_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_189_2,axiom,
( a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| leq(sk2_esk23_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_189]) ).
cnf(c_0_190_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk24_3(X3,X2,X1),X2)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_1,axiom,
( leq(sk2_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_190_2,axiom,
( a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| leq(sk2_esk24_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_190]) ).
cnf(c_0_191_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_1,axiom,
( leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_191_2,axiom,
( a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1))
| leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_191]) ).
cnf(c_0_192_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_1,axiom,
( leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_192_2,axiom,
( a_select3(X1,sk2_esk24_3(X3,X2,X1),sk2_esk23_3(X3,X2,X1)) != a_select3(X1,sk2_esk23_3(X3,X2,X1),sk2_esk24_3(X3,X2,X1))
| leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_192]) ).
cnf(c_0_193_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk23_3(X3,X2,X1))
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_1,axiom,
( leq(n0,sk2_esk23_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_193_2,axiom,
( a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| leq(n0,sk2_esk23_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_193]) ).
cnf(c_0_194_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk24_3(X3,X2,X1))
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_1,axiom,
( leq(n0,sk2_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_194_2,axiom,
( a_select3(X3,sk2_esk22_3(X3,X2,X1),sk2_esk21_3(X3,X2,X1)) != a_select3(X3,sk2_esk21_3(X3,X2,X1),sk2_esk22_3(X3,X2,X1))
| leq(n0,sk2_esk24_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_194]) ).
cnf(c_0_195_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,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_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,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_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,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_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,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_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,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_195]) ).
cnf(c_0_195_5,axiom,
( a_select3(X1,sk2_esk20_2(X1,X4),sk2_esk19_2(X1,X4)) != a_select3(X1,sk2_esk19_2(X1,X4),sk2_esk20_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_195]) ).
cnf(c_0_196_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,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_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,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_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,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_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,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_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,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_2(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_196]) ).
cnf(c_0_196_5,axiom,
( a_select3(X1,sk2_esk18_2(X1,X4),sk2_esk17_2(X1,X4)) != a_select3(X1,sk2_esk17_2(X1,X4),sk2_esk18_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_196]) ).
cnf(c_0_197_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(sk2_esk5_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_197]) ).
cnf(c_0_197_1,axiom,
( leq(sk2_esk5_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_197]) ).
cnf(c_0_197_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk5_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_197]) ).
cnf(c_0_197_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk5_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_197]) ).
cnf(c_0_197_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk5_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_197]) ).
cnf(c_0_197_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk5_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_197]) ).
cnf(c_0_198_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(sk2_esk6_3(X1,X2,X5),X5)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_198]) ).
cnf(c_0_198_1,axiom,
( leq(sk2_esk6_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_198]) ).
cnf(c_0_198_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk6_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_198]) ).
cnf(c_0_198_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk6_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_198]) ).
cnf(c_0_198_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk6_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_198]) ).
cnf(c_0_198_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk6_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_198]) ).
cnf(c_0_199_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(sk2_esk3_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_199]) ).
cnf(c_0_199_1,axiom,
( leq(sk2_esk3_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_199]) ).
cnf(c_0_199_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk3_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_199]) ).
cnf(c_0_199_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk3_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_199]) ).
cnf(c_0_199_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk3_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_199]) ).
cnf(c_0_199_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk3_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_199]) ).
cnf(c_0_200_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(sk2_esk4_3(X1,X2,X6),X6)
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_200]) ).
cnf(c_0_200_1,axiom,
( leq(sk2_esk4_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_200]) ).
cnf(c_0_200_2,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk4_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_200]) ).
cnf(c_0_200_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk4_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_200]) ).
cnf(c_0_200_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk4_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_200]) ).
cnf(c_0_200_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk4_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_200]) ).
cnf(c_0_201_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,sk2_esk5_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_201]) ).
cnf(c_0_201_1,axiom,
( leq(n0,sk2_esk5_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_201]) ).
cnf(c_0_201_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk5_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_201]) ).
cnf(c_0_201_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk5_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_201]) ).
cnf(c_0_201_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk5_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_201]) ).
cnf(c_0_201_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk5_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_201]) ).
cnf(c_0_202_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,sk2_esk6_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_202]) ).
cnf(c_0_202_1,axiom,
( leq(n0,sk2_esk6_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_202]) ).
cnf(c_0_202_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk6_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_202]) ).
cnf(c_0_202_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk6_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_202]) ).
cnf(c_0_202_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk6_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_202]) ).
cnf(c_0_202_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk6_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_202]) ).
cnf(c_0_203_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,sk2_esk3_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_203]) ).
cnf(c_0_203_1,axiom,
( leq(n0,sk2_esk3_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_203]) ).
cnf(c_0_203_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk3_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_203]) ).
cnf(c_0_203_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk3_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_203]) ).
cnf(c_0_203_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk3_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_203]) ).
cnf(c_0_203_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk3_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_203]) ).
cnf(c_0_204_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,sk2_esk4_3(X1,X2,X6))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_204]) ).
cnf(c_0_204_1,axiom,
( leq(n0,sk2_esk4_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_204]) ).
cnf(c_0_204_2,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk4_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_204]) ).
cnf(c_0_204_3,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk4_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_204]) ).
cnf(c_0_204_4,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk4_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_204]) ).
cnf(c_0_204_5,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk4_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_204]) ).
cnf(c_0_205_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| leq(sk2_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_205]) ).
cnf(c_0_205_1,axiom,
( leq(sk2_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_205]) ).
cnf(c_0_205_2,axiom,
( leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_205]) ).
cnf(c_0_205_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_205]) ).
cnf(c_0_205_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_205]) ).
cnf(c_0_205_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_205]) ).
cnf(c_0_205_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_205]) ).
cnf(c_0_206_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| leq(sk2_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_206]) ).
cnf(c_0_206_1,axiom,
( leq(sk2_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_206]) ).
cnf(c_0_206_2,axiom,
( leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_206]) ).
cnf(c_0_206_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_206]) ).
cnf(c_0_206_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_206]) ).
cnf(c_0_206_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_206]) ).
cnf(c_0_206_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk11_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_206]) ).
cnf(c_0_207_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| leq(sk2_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_207]) ).
cnf(c_0_207_1,axiom,
( leq(sk2_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_207]) ).
cnf(c_0_207_2,axiom,
( leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_207]) ).
cnf(c_0_207_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_207]) ).
cnf(c_0_207_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_207]) ).
cnf(c_0_207_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_207]) ).
cnf(c_0_207_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_207]) ).
cnf(c_0_208_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| leq(sk2_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_208]) ).
cnf(c_0_208_1,axiom,
( leq(sk2_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_208]) ).
cnf(c_0_208_2,axiom,
( leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_208]) ).
cnf(c_0_208_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_208]) ).
cnf(c_0_208_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_208]) ).
cnf(c_0_208_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_208]) ).
cnf(c_0_208_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(sk2_esk12_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_208]) ).
cnf(c_0_209_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| leq(sk2_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_209]) ).
cnf(c_0_209_1,axiom,
( leq(sk2_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_209]) ).
cnf(c_0_209_2,axiom,
( leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_209]) ).
cnf(c_0_209_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_209]) ).
cnf(c_0_209_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_209]) ).
cnf(c_0_209_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_209]) ).
cnf(c_0_209_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_209]) ).
cnf(c_0_210_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| leq(sk2_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_210]) ).
cnf(c_0_210_1,axiom,
( leq(sk2_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_210]) ).
cnf(c_0_210_2,axiom,
( leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_210]) ).
cnf(c_0_210_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_210]) ).
cnf(c_0_210_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_210]) ).
cnf(c_0_210_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_210]) ).
cnf(c_0_210_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk7_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_210]) ).
cnf(c_0_211_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| leq(sk2_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_211]) ).
cnf(c_0_211_1,axiom,
( leq(sk2_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_211]) ).
cnf(c_0_211_2,axiom,
( leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_211]) ).
cnf(c_0_211_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_211]) ).
cnf(c_0_211_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_211]) ).
cnf(c_0_211_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_211]) ).
cnf(c_0_211_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_211]) ).
cnf(c_0_212_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| leq(sk2_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_212]) ).
cnf(c_0_212_1,axiom,
( leq(sk2_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_212]) ).
cnf(c_0_212_2,axiom,
( leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_212]) ).
cnf(c_0_212_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_212]) ).
cnf(c_0_212_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_212]) ).
cnf(c_0_212_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_212]) ).
cnf(c_0_212_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(sk2_esk8_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_212]) ).
cnf(c_0_213_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| leq(sk2_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_213]) ).
cnf(c_0_213_1,axiom,
( leq(n0,sk2_esk11_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_213]) ).
cnf(c_0_213_2,axiom,
( leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_213]) ).
cnf(c_0_213_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_213]) ).
cnf(c_0_213_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_213]) ).
cnf(c_0_213_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_213]) ).
cnf(c_0_213_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_213]) ).
cnf(c_0_214_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| leq(sk2_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_214]) ).
cnf(c_0_214_1,axiom,
( leq(n0,sk2_esk11_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_214]) ).
cnf(c_0_214_2,axiom,
( leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_214]) ).
cnf(c_0_214_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_214]) ).
cnf(c_0_214_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_214]) ).
cnf(c_0_214_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_214]) ).
cnf(c_0_214_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk11_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_214]) ).
cnf(c_0_215_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_1,axiom,
( leq(sk2_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_215]) ).
cnf(c_0_215_2,axiom,
( leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk11_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_215]) ).
cnf(c_0_215_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk11_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_215]) ).
cnf(c_0_215_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk11_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_215]) ).
cnf(c_0_215_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk11_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_215]) ).
cnf(c_0_215_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk11_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_215]) ).
cnf(c_0_216_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk11_3(X1,X2,X5),X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_1,axiom,
( leq(sk2_esk11_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_216]) ).
cnf(c_0_216_2,axiom,
( leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk11_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_216]) ).
cnf(c_0_216_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk11_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_216]) ).
cnf(c_0_216_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk11_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_216]) ).
cnf(c_0_216_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk11_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_216]) ).
cnf(c_0_216_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk11_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_216]) ).
cnf(c_0_217_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| leq(sk2_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_217]) ).
cnf(c_0_217_1,axiom,
( leq(n0,sk2_esk12_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_217]) ).
cnf(c_0_217_2,axiom,
( leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_217]) ).
cnf(c_0_217_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_217]) ).
cnf(c_0_217_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_217]) ).
cnf(c_0_217_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_217]) ).
cnf(c_0_217_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk13_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_217]) ).
cnf(c_0_218_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| leq(sk2_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_218]) ).
cnf(c_0_218_1,axiom,
( leq(n0,sk2_esk12_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_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_218]) ).
cnf(c_0_218_2,axiom,
( leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_218]) ).
cnf(c_0_218_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_218]) ).
cnf(c_0_218_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_218]) ).
cnf(c_0_218_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_218]) ).
cnf(c_0_218_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk14_3(X1,X2,X5),X5)
| leq(n0,sk2_esk12_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_218]) ).
cnf(c_0_219_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_1,axiom,
( leq(sk2_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_219]) ).
cnf(c_0_219_2,axiom,
( leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk12_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_219]) ).
cnf(c_0_219_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk12_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_219]) ).
cnf(c_0_219_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk12_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_219]) ).
cnf(c_0_219_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk12_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_219]) ).
cnf(c_0_219_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(sk2_esk12_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_219]) ).
cnf(c_0_220_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(sk2_esk12_3(X1,X2,X5),X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_1,axiom,
( leq(sk2_esk12_3(X1,X2,X5),X5)
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_220]) ).
cnf(c_0_220_2,axiom,
( leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk12_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_220]) ).
cnf(c_0_220_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk12_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_220]) ).
cnf(c_0_220_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk12_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_220]) ).
cnf(c_0_220_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk12_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_220]) ).
cnf(c_0_220_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(sk2_esk12_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_220]) ).
cnf(c_0_221_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| leq(sk2_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_221]) ).
cnf(c_0_221_1,axiom,
( leq(n0,sk2_esk7_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_221]) ).
cnf(c_0_221_2,axiom,
( leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_221]) ).
cnf(c_0_221_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_221]) ).
cnf(c_0_221_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_221]) ).
cnf(c_0_221_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_221]) ).
cnf(c_0_221_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_221]) ).
cnf(c_0_222_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| leq(sk2_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_222]) ).
cnf(c_0_222_1,axiom,
( leq(n0,sk2_esk7_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_222]) ).
cnf(c_0_222_2,axiom,
( leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_222]) ).
cnf(c_0_222_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_222]) ).
cnf(c_0_222_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_222]) ).
cnf(c_0_222_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_222]) ).
cnf(c_0_222_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk7_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_222]) ).
cnf(c_0_223_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_1,axiom,
( leq(sk2_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_223]) ).
cnf(c_0_223_2,axiom,
( leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk7_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_223]) ).
cnf(c_0_223_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk7_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_223]) ).
cnf(c_0_223_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk7_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_223]) ).
cnf(c_0_223_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk7_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_223]) ).
cnf(c_0_223_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk7_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_223]) ).
cnf(c_0_224_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk7_3(X1,X2,X5),X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_1,axiom,
( leq(sk2_esk7_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_224]) ).
cnf(c_0_224_2,axiom,
( leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk7_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_224]) ).
cnf(c_0_224_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk7_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_224]) ).
cnf(c_0_224_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk7_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_224]) ).
cnf(c_0_224_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk7_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_224]) ).
cnf(c_0_224_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk7_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_224]) ).
cnf(c_0_225_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| leq(sk2_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_225]) ).
cnf(c_0_225_1,axiom,
( leq(n0,sk2_esk8_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_225]) ).
cnf(c_0_225_2,axiom,
( leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_225]) ).
cnf(c_0_225_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_225]) ).
cnf(c_0_225_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_225]) ).
cnf(c_0_225_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_225]) ).
cnf(c_0_225_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk9_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_225]) ).
cnf(c_0_226_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| leq(sk2_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_226]) ).
cnf(c_0_226_1,axiom,
( leq(n0,sk2_esk8_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_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_226]) ).
cnf(c_0_226_2,axiom,
( leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_226]) ).
cnf(c_0_226_3,axiom,
( ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_226]) ).
cnf(c_0_226_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_226]) ).
cnf(c_0_226_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_226]) ).
cnf(c_0_226_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(sk2_esk10_3(X1,X2,X5),X5)
| leq(n0,sk2_esk8_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_226]) ).
cnf(c_0_227_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_1,axiom,
( leq(sk2_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_227]) ).
cnf(c_0_227_2,axiom,
( leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk8_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_227]) ).
cnf(c_0_227_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk8_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_227]) ).
cnf(c_0_227_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk8_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_227]) ).
cnf(c_0_227_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk8_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_227]) ).
cnf(c_0_227_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(sk2_esk8_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_227]) ).
cnf(c_0_228_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(sk2_esk8_3(X1,X2,X5),X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_1,axiom,
( leq(sk2_esk8_3(X1,X2,X5),X5)
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_228]) ).
cnf(c_0_228_2,axiom,
( leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk8_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_228]) ).
cnf(c_0_228_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk8_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_228]) ).
cnf(c_0_228_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk8_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_228]) ).
cnf(c_0_228_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk8_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_228]) ).
cnf(c_0_228_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(sk2_esk8_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_228]) ).
cnf(c_0_229_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_1,axiom,
( leq(n0,sk2_esk11_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_229]) ).
cnf(c_0_229_2,axiom,
( leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_229]) ).
cnf(c_0_229_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_229]) ).
cnf(c_0_229_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_229]) ).
cnf(c_0_229_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_229]) ).
cnf(c_0_229_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_229]) ).
cnf(c_0_230_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk11_3(X1,X2,X5))
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_1,axiom,
( leq(n0,sk2_esk11_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_230]) ).
cnf(c_0_230_2,axiom,
( leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_230]) ).
cnf(c_0_230_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_230]) ).
cnf(c_0_230_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_230]) ).
cnf(c_0_230_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_230]) ).
cnf(c_0_230_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk11_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_230]) ).
cnf(c_0_231_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_1,axiom,
( leq(n0,sk2_esk12_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_231]) ).
cnf(c_0_231_2,axiom,
( leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_231]) ).
cnf(c_0_231_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_231]) ).
cnf(c_0_231_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_231]) ).
cnf(c_0_231_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_231]) ).
cnf(c_0_231_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk13_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_231]) ).
cnf(c_0_232_0,axiom,
( a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk12_3(X1,X2,X5))
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_1,axiom,
( leq(n0,sk2_esk12_3(X1,X2,X5))
| a_select3(tptp_madd(X1,X2),X3,X4) = a_select3(tptp_madd(X1,X2),X4,X3)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_232]) ).
cnf(c_0_232_2,axiom,
( leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_232]) ).
cnf(c_0_232_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_232]) ).
cnf(c_0_232_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_232]) ).
cnf(c_0_232_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_232]) ).
cnf(c_0_232_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk14_3(X1,X2,X5))
| leq(n0,sk2_esk12_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_232]) ).
cnf(c_0_233_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_1,axiom,
( leq(n0,sk2_esk7_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_233]) ).
cnf(c_0_233_2,axiom,
( leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_233]) ).
cnf(c_0_233_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_233]) ).
cnf(c_0_233_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_233]) ).
cnf(c_0_233_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_233]) ).
cnf(c_0_233_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_233]) ).
cnf(c_0_234_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk7_3(X1,X2,X5))
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_1,axiom,
( leq(n0,sk2_esk7_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_234]) ).
cnf(c_0_234_2,axiom,
( leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_234]) ).
cnf(c_0_234_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_234]) ).
cnf(c_0_234_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_234]) ).
cnf(c_0_234_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_234]) ).
cnf(c_0_234_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk7_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_234]) ).
cnf(c_0_235_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_1,axiom,
( leq(n0,sk2_esk8_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_235]) ).
cnf(c_0_235_2,axiom,
( leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_235]) ).
cnf(c_0_235_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_235]) ).
cnf(c_0_235_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_235]) ).
cnf(c_0_235_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_235]) ).
cnf(c_0_235_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk9_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_235]) ).
cnf(c_0_236_0,axiom,
( a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk8_3(X1,X2,X5))
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_1,axiom,
( leq(n0,sk2_esk8_3(X1,X2,X5))
| a_select3(tptp_msub(X1,X2),X3,X4) = a_select3(tptp_msub(X1,X2),X4,X3)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| ~ leq(X4,X5)
| ~ leq(n0,X4)
| ~ leq(X3,X5)
| ~ leq(n0,X3) ),
inference(literals_permutation,[status(thm)],[c_0_236]) ).
cnf(c_0_236_2,axiom,
( leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_236]) ).
cnf(c_0_236_3,axiom,
( ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_236]) ).
cnf(c_0_236_4,axiom,
( ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_236]) ).
cnf(c_0_236_5,axiom,
( ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_236]) ).
cnf(c_0_236_6,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X5)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| leq(n0,sk2_esk10_3(X1,X2,X5))
| leq(n0,sk2_esk8_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_236]) ).
cnf(c_0_237_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_1,axiom,
( leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_237_2,axiom,
( leq(sk2_esk23_3(X3,X2,X1),X2)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_237]) ).
cnf(c_0_238_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_1,axiom,
( leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_238_2,axiom,
( leq(sk2_esk24_3(X3,X2,X1),X2)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_238]) ).
cnf(c_0_239_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_1,axiom,
( leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_239_2,axiom,
( leq(sk2_esk23_3(X3,X2,X1),X2)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_239]) ).
cnf(c_0_240_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_1,axiom,
( leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_240_2,axiom,
( leq(sk2_esk24_3(X3,X2,X1),X2)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_240]) ).
cnf(c_0_241_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_1,axiom,
( leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_241_2,axiom,
( leq(sk2_esk23_3(X3,X2,X1),X2)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_241]) ).
cnf(c_0_242_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_1,axiom,
( leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_242_2,axiom,
( leq(sk2_esk24_3(X3,X2,X1),X2)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_242]) ).
cnf(c_0_243_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_1,axiom,
( leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_243_2,axiom,
( leq(n0,sk2_esk23_3(X3,X2,X1))
| leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_243]) ).
cnf(c_0_244_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk21_3(X3,X2,X1),X2)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_1,axiom,
( leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_244_2,axiom,
( leq(n0,sk2_esk24_3(X3,X2,X1))
| leq(sk2_esk21_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_244]) ).
cnf(c_0_245_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_1,axiom,
( leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk2_esk23_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_245_2,axiom,
( leq(sk2_esk23_3(X3,X2,X1),X2)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_245]) ).
cnf(c_0_246_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_1,axiom,
( leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(sk2_esk24_3(X3,X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_246_2,axiom,
( leq(sk2_esk24_3(X3,X2,X1),X2)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_246]) ).
cnf(c_0_247_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_1,axiom,
( leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_247_2,axiom,
( leq(n0,sk2_esk23_3(X3,X2,X1))
| leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_247]) ).
cnf(c_0_248_0,axiom,
( epred1_3(X1,X2,X3)
| leq(sk2_esk22_3(X3,X2,X1),X2)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_1,axiom,
( leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_248_2,axiom,
( leq(n0,sk2_esk24_3(X3,X2,X1))
| leq(sk2_esk22_3(X3,X2,X1),X2)
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_248]) ).
cnf(c_0_249_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_1,axiom,
( leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_249_2,axiom,
( leq(n0,sk2_esk23_3(X3,X2,X1))
| leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_249]) ).
cnf(c_0_250_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk21_3(X3,X2,X1))
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_1,axiom,
( leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_250_2,axiom,
( leq(n0,sk2_esk24_3(X3,X2,X1))
| leq(n0,sk2_esk21_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_250]) ).
cnf(c_0_251_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_1,axiom,
( leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk23_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_251_2,axiom,
( leq(n0,sk2_esk23_3(X3,X2,X1))
| leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_251]) ).
cnf(c_0_252_0,axiom,
( epred1_3(X1,X2,X3)
| leq(n0,sk2_esk22_3(X3,X2,X1))
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_1,axiom,
( leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3)
| leq(n0,sk2_esk24_3(X3,X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_252_2,axiom,
( leq(n0,sk2_esk24_3(X3,X2,X1))
| leq(n0,sk2_esk22_3(X3,X2,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_252]) ).
cnf(c_0_253_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(sk2_esk19_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_253_1,axiom,
( leq(sk2_esk19_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_253]) ).
cnf(c_0_253_2,axiom,
( ~ leq(X3,X4)
| leq(sk2_esk19_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_253]) ).
cnf(c_0_253_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk19_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_253]) ).
cnf(c_0_253_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk19_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_253]) ).
cnf(c_0_253_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk19_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_253]) ).
cnf(c_0_254_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(sk2_esk20_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_254_1,axiom,
( leq(sk2_esk20_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_254]) ).
cnf(c_0_254_2,axiom,
( ~ leq(X3,X4)
| leq(sk2_esk20_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_254]) ).
cnf(c_0_254_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk20_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_254]) ).
cnf(c_0_254_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk20_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_254]) ).
cnf(c_0_254_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk20_2(X1,X4),X4)
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_254]) ).
cnf(c_0_255_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(sk2_esk17_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_255_1,axiom,
( leq(sk2_esk17_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_255]) ).
cnf(c_0_255_2,axiom,
( ~ leq(X3,X4)
| leq(sk2_esk17_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_255]) ).
cnf(c_0_255_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk17_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_255]) ).
cnf(c_0_255_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk17_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_255]) ).
cnf(c_0_255_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk17_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_255]) ).
cnf(c_0_256_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(sk2_esk18_2(X1,X4),X4)
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_256_1,axiom,
( leq(sk2_esk18_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_256]) ).
cnf(c_0_256_2,axiom,
( ~ leq(X3,X4)
| leq(sk2_esk18_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_256]) ).
cnf(c_0_256_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk18_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_256]) ).
cnf(c_0_256_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk18_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_256]) ).
cnf(c_0_256_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(sk2_esk18_2(X1,X4),X4)
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_256]) ).
cnf(c_0_257_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,sk2_esk19_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_257_1,axiom,
( leq(n0,sk2_esk19_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_257]) ).
cnf(c_0_257_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk2_esk19_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_257]) ).
cnf(c_0_257_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk19_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_257]) ).
cnf(c_0_257_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk19_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_257]) ).
cnf(c_0_257_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk19_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_257]) ).
cnf(c_0_258_0,axiom,
( a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2)
| leq(n0,sk2_esk20_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_258_1,axiom,
( leq(n0,sk2_esk20_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_258]) ).
cnf(c_0_258_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk2_esk20_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_258]) ).
cnf(c_0_258_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk20_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_258]) ).
cnf(c_0_258_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk20_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_258]) ).
cnf(c_0_258_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk20_2(X1,X4))
| a_select3(trans(X1),X2,X3) = a_select3(trans(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_258]) ).
cnf(c_0_259_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,sk2_esk17_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_259_1,axiom,
( leq(n0,sk2_esk17_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_259]) ).
cnf(c_0_259_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk2_esk17_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_259]) ).
cnf(c_0_259_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk17_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_259]) ).
cnf(c_0_259_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk17_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_259]) ).
cnf(c_0_259_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk17_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_259]) ).
cnf(c_0_260_0,axiom,
( a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2)
| leq(n0,sk2_esk18_2(X1,X4))
| ~ leq(X3,X4)
| ~ leq(n0,X3)
| ~ leq(X2,X4)
| ~ leq(n0,X2) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_260_1,axiom,
( leq(n0,sk2_esk18_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_260]) ).
cnf(c_0_260_2,axiom,
( ~ leq(X3,X4)
| leq(n0,sk2_esk18_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_260]) ).
cnf(c_0_260_3,axiom,
( ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk18_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_260]) ).
cnf(c_0_260_4,axiom,
( ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk18_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_260]) ).
cnf(c_0_260_5,axiom,
( ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X4)
| leq(n0,sk2_esk18_2(X1,X4))
| a_select3(inv(X1),X2,X3) = a_select3(inv(X1),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_260]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_261_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_261]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_262_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_262]) ).
cnf(c_0_263_0,axiom,
( X1 = n3
| X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_1,axiom,
( X1 = n2
| X1 = n3
| X1 = n1
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_2,axiom,
( X1 = n1
| X1 = n2
| X1 = n3
| X1 = n0
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_3,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(X1,n3)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_4,axiom,
( ~ leq(X1,n3)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_5,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n3)
| X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
( X1 = n2
| X1 = n1
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_1,axiom,
( X1 = n1
| X1 = n2
| X1 = n0
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_2,axiom,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_3,axiom,
( ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_4,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n2)
| X1 = n0
| X1 = n1
| X1 = n2 ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
( X1 = n1
| X1 = n0
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_1,axiom,
( X1 = n0
| X1 = n1
| ~ leq(X1,n1)
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_2,axiom,
( ~ leq(X1,n1)
| X1 = n0
| X1 = n1
| ~ leq(n0,X1) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_3,axiom,
( ~ leq(n0,X1)
| ~ leq(X1,n1)
| X1 = n0
| X1 = n1 ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_266_0,axiom,
( X1 = X2
| gt(X2,X1)
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_1,axiom,
( gt(X2,X1)
| X1 = X2
| gt(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_266_2,axiom,
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_268,conjecture,
( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1 ) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,tptp_minus_1) )
=> a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ),
file('<stdin>',cl5_nebula_norm_0013) ).
fof(c_0_1_269,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(pv10,n135299)
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,pred(pv10)) )
=> sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1 ) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,tptp_minus_1) )
=> a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_270,negated_conjecture,
! [X3] :
( leq(n0,pv10)
& leq(pv10,n135299)
& ( ~ leq(n0,X3)
| ~ leq(X3,pred(pv10))
| sum(n0,n4,a_select3(q,X3,tptp_sum_index)) = n1 )
& leq(n0,esk1_0)
& leq(esk1_0,tptp_minus_1)
& a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3_271,negated_conjecture,
a_select3(q,pv10,esk1_0) != divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_272,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_273,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_274,negated_conjecture,
leq(pv10,n135299),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7_275,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8_276,negated_conjecture,
leq(esk1_0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9_277,negated_conjecture,
divide(sqrt(times(minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)),minus(a_select3(center,esk1_0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,esk1_0),
c_0_3,
[final] ).
cnf(c_0_10_278,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,tptp_sum_index)) = n1
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) ),
c_0_4,
[final] ).
cnf(c_0_11_279,negated_conjecture,
leq(n0,pv10),
c_0_5,
[final] ).
cnf(c_0_12_280,negated_conjecture,
leq(pv10,n135299),
c_0_6,
[final] ).
cnf(c_0_13_281,negated_conjecture,
leq(n0,esk1_0),
c_0_7,
[final] ).
cnf(c_0_14_282,negated_conjecture,
leq(esk1_0,tptp_minus_1),
c_0_8,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_728,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_347_0) ).
cnf(c_1672,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(copy,[status(esa)],[c_728]) ).
cnf(c_43074,plain,
( ~ leq(X0,pred(X1))
| leq(X2,pred(X1))
| ~ leq(X2,X0) ),
inference(instantiation,[status(thm)],[c_1672]) ).
cnf(c_1390022,plain,
( ~ leq(sk3_esk1_0,pred(n0))
| leq(X0,pred(n0))
| ~ leq(X0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_43074]) ).
cnf(c_1390023,plain,
( leq(n0,pred(n0))
| ~ leq(n0,sk3_esk1_0)
| ~ leq(sk3_esk1_0,pred(n0)) ),
inference(instantiation,[status(thm)],[c_1390022]) ).
cnf(c_634861,plain,
( ~ leq(tptp_minus_1,pred(n0))
| ~ leq(X0,tptp_minus_1)
| leq(X0,pred(n0)) ),
inference(instantiation,[status(thm)],[c_43074]) ).
cnf(c_1389348,plain,
( ~ leq(tptp_minus_1,pred(n0))
| ~ leq(sk3_esk1_0,tptp_minus_1)
| leq(sk3_esk1_0,pred(n0)) ),
inference(instantiation,[status(thm)],[c_634861]) ).
cnf(c_720,plain,
( ~ gt(X0,X1)
| leq(X1,pred(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_356_0) ).
cnf(c_1664,plain,
( ~ gt(X0,X1)
| leq(X1,pred(X0)) ),
inference(copy,[status(esa)],[c_720]) ).
cnf(c_43027,plain,
( leq(tptp_minus_1,pred(n0))
| ~ gt(n0,tptp_minus_1) ),
inference(instantiation,[status(thm)],[c_1664]) ).
cnf(c_662,plain,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_412_0) ).
cnf(c_689,plain,
~ gt(X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_385_0) ).
cnf(c_795,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_689]) ).
cnf(c_713,plain,
( gt(X0,X1)
| ~ leq(X1,pred(X0)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_363_0) ).
cnf(c_771,plain,
( ~ leq(n0,pred(n0))
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_713]) ).
cnf(c_745,negated_conjecture,
leq(n0,sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_13) ).
cnf(c_746,negated_conjecture,
leq(sk3_esk1_0,tptp_minus_1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p',c_0_14) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_1390023,c_1389348,c_43027,c_662,c_795,c_771,c_745,c_746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 17:59:24 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % Running in mono-core mode
% 0.22/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.47 % FOF problem with conjecture
% 0.22/0.47 % 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_3c8b1f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ad0c53.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_2560e6 | grep -v "SZS"
% 0.22/0.50
% 0.22/0.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.50
% 0.22/0.50 %
% 0.22/0.50 % ------ iProver source info
% 0.22/0.50
% 0.22/0.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.50 % git: non_committed_changes: true
% 0.22/0.50 % git: last_make_outside_of_git: true
% 0.22/0.50
% 0.22/0.50 %
% 0.22/0.50 % ------ Input Options
% 0.22/0.50
% 0.22/0.50 % --out_options all
% 0.22/0.50 % --tptp_safe_out true
% 0.22/0.50 % --problem_path ""
% 0.22/0.50 % --include_path ""
% 0.22/0.50 % --clausifier .//eprover
% 0.22/0.50 % --clausifier_options --tstp-format
% 0.22/0.50 % --stdin false
% 0.22/0.50 % --dbg_backtrace false
% 0.22/0.50 % --dbg_dump_prop_clauses false
% 0.22/0.50 % --dbg_dump_prop_clauses_file -
% 0.22/0.50 % --dbg_out_stat false
% 0.22/0.50
% 0.22/0.50 % ------ General Options
% 0.22/0.50
% 0.22/0.50 % --fof false
% 0.22/0.50 % --time_out_real 150.
% 0.22/0.50 % --time_out_prep_mult 0.2
% 0.22/0.50 % --time_out_virtual -1.
% 0.22/0.50 % --schedule none
% 0.22/0.50 % --ground_splitting input
% 0.22/0.50 % --splitting_nvd 16
% 0.22/0.50 % --non_eq_to_eq false
% 0.22/0.50 % --prep_gs_sim true
% 0.22/0.50 % --prep_unflatten false
% 0.22/0.50 % --prep_res_sim true
% 0.22/0.50 % --prep_upred true
% 0.22/0.50 % --res_sim_input true
% 0.22/0.50 % --clause_weak_htbl true
% 0.22/0.50 % --gc_record_bc_elim false
% 0.22/0.50 % --symbol_type_check false
% 0.22/0.50 % --clausify_out false
% 0.22/0.50 % --large_theory_mode false
% 0.22/0.50 % --prep_sem_filter none
% 0.22/0.50 % --prep_sem_filter_out false
% 0.22/0.50 % --preprocessed_out false
% 0.22/0.50 % --sub_typing false
% 0.22/0.50 % --brand_transform false
% 0.22/0.50 % --pure_diseq_elim true
% 0.22/0.50 % --min_unsat_core false
% 0.22/0.50 % --pred_elim true
% 0.22/0.50 % --add_important_lit false
% 0.22/0.50 % --soft_assumptions false
% 0.22/0.50 % --reset_solvers false
% 0.22/0.50 % --bc_imp_inh []
% 0.22/0.50 % --conj_cone_tolerance 1.5
% 0.22/0.50 % --prolific_symb_bound 500
% 0.22/0.50 % --lt_threshold 2000
% 0.22/0.50
% 0.22/0.50 % ------ SAT Options
% 0.22/0.50
% 0.22/0.50 % --sat_mode false
% 0.22/0.50 % --sat_fm_restart_options ""
% 0.22/0.50 % --sat_gr_def false
% 0.22/0.50 % --sat_epr_types true
% 0.22/0.50 % --sat_non_cyclic_types false
% 0.22/0.50 % --sat_finite_models false
% 0.22/0.50 % --sat_fm_lemmas false
% 0.22/0.50 % --sat_fm_prep false
% 0.22/0.50 % --sat_fm_uc_incr true
% 0.22/0.50 % --sat_out_model small
% 0.22/0.50 % --sat_out_clauses false
% 0.22/0.50
% 0.22/0.50 % ------ QBF Options
% 0.22/0.50
% 0.22/0.50 % --qbf_mode false
% 0.22/0.50 % --qbf_elim_univ true
% 0.22/0.50 % --qbf_sk_in true
% 0.22/0.50 % --qbf_pred_elim true
% 0.22/0.50 % --qbf_split 32
% 0.22/0.50
% 0.22/0.50 % ------ BMC1 Options
% 0.22/0.50
% 0.22/0.50 % --bmc1_incremental false
% 0.22/0.50 % --bmc1_axioms reachable_all
% 0.22/0.50 % --bmc1_min_bound 0
% 0.22/0.50 % --bmc1_max_bound -1
% 0.22/0.50 % --bmc1_max_bound_default -1
% 0.22/0.50 % --bmc1_symbol_reachability true
% 0.22/0.50 % --bmc1_property_lemmas false
% 0.22/0.50 % --bmc1_k_induction false
% 0.22/0.50 % --bmc1_non_equiv_states false
% 0.22/0.50 % --bmc1_deadlock false
% 0.22/0.50 % --bmc1_ucm false
% 0.22/0.50 % --bmc1_add_unsat_core none
% 0.22/0.50 % --bmc1_unsat_core_children false
% 0.22/0.50 % --bmc1_unsat_core_extrapolate_axioms false
% 0.22/0.50 % --bmc1_out_stat full
% 0.22/0.50 % --bmc1_ground_init false
% 0.22/0.50 % --bmc1_pre_inst_next_state false
% 0.22/0.50 % --bmc1_pre_inst_state false
% 0.22/0.50 % --bmc1_pre_inst_reach_state false
% 0.22/0.50 % --bmc1_out_unsat_core false
% 0.22/0.50 % --bmc1_aig_witness_out false
% 0.22/0.50 % --bmc1_verbose false
% 0.22/0.50 % --bmc1_dump_clauses_tptp false
% 0.66/1.01 % --bmc1_dump_unsat_core_tptp false
% 0.66/1.01 % --bmc1_dump_file -
% 0.66/1.01 % --bmc1_ucm_expand_uc_limit 128
% 0.66/1.01 % --bmc1_ucm_n_expand_iterations 6
% 0.66/1.01 % --bmc1_ucm_extend_mode 1
% 0.66/1.01 % --bmc1_ucm_init_mode 2
% 0.66/1.01 % --bmc1_ucm_cone_mode none
% 0.66/1.01 % --bmc1_ucm_reduced_relation_type 0
% 0.66/1.01 % --bmc1_ucm_relax_model 4
% 0.66/1.01 % --bmc1_ucm_full_tr_after_sat true
% 0.66/1.01 % --bmc1_ucm_expand_neg_assumptions false
% 0.66/1.01 % --bmc1_ucm_layered_model none
% 0.66/1.01 % --bmc1_ucm_max_lemma_size 10
% 0.66/1.01
% 0.66/1.01 % ------ AIG Options
% 0.66/1.01
% 0.66/1.01 % --aig_mode false
% 0.66/1.01
% 0.66/1.01 % ------ Instantiation Options
% 0.66/1.01
% 0.66/1.01 % --instantiation_flag true
% 0.66/1.01 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.66/1.01 % --inst_solver_per_active 750
% 0.66/1.01 % --inst_solver_calls_frac 0.5
% 0.66/1.01 % --inst_passive_queue_type priority_queues
% 0.66/1.01 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.66/1.01 % --inst_passive_queues_freq [25;2]
% 0.66/1.01 % --inst_dismatching true
% 0.66/1.01 % --inst_eager_unprocessed_to_passive true
% 0.66/1.01 % --inst_prop_sim_given true
% 0.66/1.01 % --inst_prop_sim_new false
% 0.66/1.01 % --inst_orphan_elimination true
% 0.66/1.01 % --inst_learning_loop_flag true
% 0.66/1.01 % --inst_learning_start 3000
% 0.66/1.01 % --inst_learning_factor 2
% 0.66/1.01 % --inst_start_prop_sim_after_learn 3
% 0.66/1.01 % --inst_sel_renew solver
% 0.66/1.01 % --inst_lit_activity_flag true
% 0.66/1.01 % --inst_out_proof true
% 0.66/1.01
% 0.66/1.01 % ------ Resolution Options
% 0.66/1.01
% 0.66/1.01 % --resolution_flag true
% 0.66/1.01 % --res_lit_sel kbo_max
% 0.66/1.01 % --res_to_prop_solver none
% 0.66/1.01 % --res_prop_simpl_new false
% 0.66/1.01 % --res_prop_simpl_given false
% 0.66/1.01 % --res_passive_queue_type priority_queues
% 0.66/1.01 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.66/1.01 % --res_passive_queues_freq [15;5]
% 0.66/1.01 % --res_forward_subs full
% 0.66/1.01 % --res_backward_subs full
% 0.66/1.01 % --res_forward_subs_resolution true
% 0.66/1.01 % --res_backward_subs_resolution true
% 0.66/1.01 % --res_orphan_elimination false
% 0.66/1.01 % --res_time_limit 1000.
% 0.66/1.01 % --res_out_proof true
% 0.66/1.01 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_3c8b1f.s
% 0.66/1.01 % --modulo true
% 0.66/1.01
% 0.66/1.01 % ------ Combination Options
% 0.66/1.01
% 0.66/1.01 % --comb_res_mult 1000
% 0.66/1.01 % --comb_inst_mult 300
% 0.66/1.01 % ------
% 0.66/1.01
% 0.66/1.01 % ------ Parsing...% successful
% 0.66/1.01
% 0.66/1.01 % ------ 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 %
% 0.66/1.01
% 0.66/1.01 % ------ Proving...
% 0.66/1.01 % ------ Problem Properties
% 0.66/1.01
% 0.66/1.01 %
% 0.66/1.01 % EPR false
% 0.66/1.01 % Horn false
% 0.66/1.01 % Has equality true
% 0.66/1.01
% 0.66/1.01 % % ------ Input Options Time Limit: Unbounded
% 0.66/1.01
% 0.66/1.01
% 0.66/1.01 Compiling...
% 0.66/1.01 Loading plugin: done.
% 0.66/1.01 Compiling...
% 0.66/1.01 Loading plugin: done.
% 0.66/1.01 Compiling...
% 0.66/1.01 Loading plugin: done.
% 0.66/1.01 % % ------ Current options:
% 0.66/1.01
% 0.66/1.01 % ------ Input Options
% 0.66/1.01
% 0.66/1.01 % --out_options all
% 0.66/1.01 % --tptp_safe_out true
% 0.66/1.01 % --problem_path ""
% 0.66/1.01 % --include_path ""
% 0.66/1.01 % --clausifier .//eprover
% 0.66/1.01 % --clausifier_options --tstp-format
% 0.66/1.01 % --stdin false
% 0.66/1.01 % --dbg_backtrace false
% 0.66/1.01 % --dbg_dump_prop_clauses false
% 0.66/1.01 % --dbg_dump_prop_clauses_file -
% 0.66/1.01 % --dbg_out_stat false
% 0.66/1.01
% 0.66/1.01 % ------ General Options
% 0.66/1.01
% 0.66/1.01 % --fof false
% 0.66/1.01 % --time_out_real 150.
% 0.66/1.01 % --time_out_prep_mult 0.2
% 0.66/1.01 % --time_out_virtual -1.
% 0.66/1.01 % --schedule none
% 0.66/1.01 % --ground_splitting input
% 0.66/1.01 % --splitting_nvd 16
% 0.66/1.01 % --non_eq_to_eq false
% 0.66/1.01 % --prep_gs_sim true
% 0.66/1.01 % --prep_unflatten false
% 0.66/1.01 % --prep_res_sim true
% 0.66/1.01 % --prep_upred true
% 0.66/1.01 % --res_sim_input true
% 0.66/1.01 % --clause_weak_htbl true
% 0.66/1.01 % --gc_record_bc_elim false
% 0.66/1.01 % --symbol_type_check false
% 0.66/1.01 % --clausify_out false
% 0.66/1.01 % --large_theory_mode false
% 0.66/1.01 % --prep_sem_filter none
% 0.66/1.01 % --prep_sem_filter_out false
% 0.66/1.01 % --preprocessed_out false
% 0.66/1.01 % --sub_typing false
% 0.66/1.01 % --brand_transform false
% 0.66/1.01 % --pure_diseq_elim true
% 0.66/1.01 % --min_unsat_core false
% 0.66/1.01 % --pred_elim true
% 0.66/1.01 % --add_important_lit false
% 0.66/1.01 % --soft_assumptions false
% 0.66/1.01 % --reset_solvers false
% 0.66/1.01 % --bc_imp_inh []
% 0.66/1.01 % --conj_cone_tolerance 1.5
% 0.66/1.01 % --prolific_symb_bound 500
% 0.66/1.01 % --lt_threshold 2000
% 0.66/1.01
% 0.66/1.01 % ------ SAT Options
% 0.66/1.01
% 0.66/1.01 % --sat_mode false
% 0.66/1.01 % --sat_fm_restart_options ""
% 0.66/1.01 % --sat_gr_def false
% 0.66/1.01 % --sat_epr_types true
% 0.66/1.01 % --sat_non_cyclic_types false
% 0.66/1.01 % --sat_finite_models false
% 0.66/1.01 % --sat_fm_lemmas false
% 0.66/1.01 % --sat_fm_prep false
% 0.66/1.01 % --sat_fm_uc_incr true
% 0.66/1.01 % --sat_out_model small
% 0.66/1.01 % --sat_out_clauses false
% 0.66/1.01
% 0.66/1.01 % ------ QBF Options
% 0.66/1.01
% 0.66/1.01 % --qbf_mode false
% 0.66/1.01 % --qbf_elim_univ true
% 0.66/1.01 % --qbf_sk_in true
% 0.66/1.01 % --qbf_pred_elim true
% 0.66/1.01 % --qbf_split 32
% 0.66/1.01
% 0.66/1.01 % ------ BMC1 Options
% 0.66/1.01
% 0.66/1.01 % --bmc1_incremental false
% 0.66/1.01 % --bmc1_axioms reachable_all
% 0.66/1.01 % --bmc1_min_bound 0
% 0.66/1.01 % --bmc1_max_bound -1
% 0.66/1.01 % --bmc1_max_bound_default -1
% 0.66/1.01 % --bmc1_symbol_reachability true
% 0.66/1.01 % --bmc1_property_lemmas false
% 0.66/1.01 % --bmc1_k_induction false
% 0.66/1.01 % --bmc1_non_equiv_states false
% 0.66/1.01 % --bmc1_deadlock false
% 0.66/1.01 % --bmc1_ucm false
% 0.66/1.01 % --bmc1_add_unsat_core none
% 0.66/1.01 % --bmc1_unsat_core_children false
% 0.66/1.01 % --bmc1_unsat_core_extrapolate_axioms false
% 0.66/1.01 % --bmc1_out_stat full
% 0.66/1.01 % --bmc1_ground_init false
% 0.66/1.01 % --bmc1_pre_inst_next_state false
% 0.66/1.01 % --bmc1_pre_inst_state false
% 0.66/1.01 % --bmc1_pre_inst_reach_state false
% 0.66/1.01 % --bmc1_out_unsat_core false
% 0.66/1.01 % --bmc1_aig_witness_out false
% 0.66/1.01 % --bmc1_verbose false
% 0.66/1.01 % --bmc1_dump_clauses_tptp false
% 0.66/1.01 % --bmc1_dump_unsat_core_tptp false
% 0.66/1.01 % --bmc1_dump_file -
% 0.66/1.01 % --bmc1_ucm_expand_uc_limit 128
% 0.66/1.01 % --bmc1_ucm_n_expand_iterations 6
% 0.66/1.01 % --bmc1_ucm_extend_mode 1
% 0.66/1.01 % --bmc1_ucm_init_mode 2
% 0.66/1.01 % --bmc1_ucm_cone_mode none
% 0.66/1.01 % --bmc1_ucm_reduced_relation_type 0
% 0.66/1.01 % --bmc1_ucm_relax_model 4
% 0.66/1.01 % --bmc1_ucm_full_tr_after_sat true
% 0.66/1.01 % --bmc1_ucm_expand_neg_assumptions false
% 0.66/1.01 % --bmc1_ucm_layered_model none
% 0.66/1.01 % --bmc1_ucm_max_lemma_size 10
% 0.66/1.01
% 0.66/1.01 % ------ AIG Options
% 0.66/1.01
% 0.66/1.01 % --aig_mode false
% 0.66/1.01
% 0.66/1.01 % ------ Instantiation Options
% 0.66/1.01
% 0.66/1.01 % --instantiation_flag true
% 0.66/1.01 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.66/1.01 % --inst_solver_per_active 750
% 0.66/1.01 % --inst_solver_calls_frac 0.5
% 0.66/1.01 % --inst_passive_queue_type priority_queues
% 0.66/1.01 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.66/1.01 % --inst_passive_queues_freq [25;2]
% 0.66/1.01 % --inst_dismatching true
% 70.89/71.14 % --inst_eager_unprocessed_to_passive true
% 70.89/71.14 % --inst_prop_sim_given true
% 70.89/71.14 % --inst_prop_sim_new false
% 70.89/71.14 % --inst_orphan_elimination true
% 70.89/71.14 % --inst_learning_loop_flag true
% 70.89/71.14 % --inst_learning_start 3000
% 70.89/71.14 % --inst_learning_factor 2
% 70.89/71.14 % --inst_start_prop_sim_after_learn 3
% 70.89/71.14 % --inst_sel_renew solver
% 70.89/71.14 % --inst_lit_activity_flag true
% 70.89/71.14 % --inst_out_proof true
% 70.89/71.14
% 70.89/71.14 % ------ Resolution Options
% 70.89/71.14
% 70.89/71.14 % --resolution_flag true
% 70.89/71.14 % --res_lit_sel kbo_max
% 70.89/71.14 % --res_to_prop_solver none
% 70.89/71.14 % --res_prop_simpl_new false
% 70.89/71.14 % --res_prop_simpl_given false
% 70.89/71.14 % --res_passive_queue_type priority_queues
% 70.89/71.14 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 70.89/71.14 % --res_passive_queues_freq [15;5]
% 70.89/71.14 % --res_forward_subs full
% 70.89/71.14 % --res_backward_subs full
% 70.89/71.14 % --res_forward_subs_resolution true
% 70.89/71.14 % --res_backward_subs_resolution true
% 70.89/71.14 % --res_orphan_elimination false
% 70.89/71.14 % --res_time_limit 1000.
% 70.89/71.14 % --res_out_proof true
% 70.89/71.14 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_3c8b1f.s
% 70.89/71.14 % --modulo true
% 70.89/71.14
% 70.89/71.14 % ------ Combination Options
% 70.89/71.14
% 70.89/71.14 % --comb_res_mult 1000
% 70.89/71.14 % --comb_inst_mult 300
% 70.89/71.14 % ------
% 70.89/71.14
% 70.89/71.14
% 70.89/71.14
% 70.89/71.14 % ------ Proving...
% 70.89/71.14 %
% 70.89/71.14
% 70.89/71.14
% 70.89/71.14 % ------ Statistics
% 70.89/71.14
% 70.89/71.14 % ------ General
% 70.89/71.14
% 70.89/71.14 % num_of_input_clauses: 747
% 70.89/71.14 % num_of_input_neg_conjectures: 6
% 70.89/71.14 % num_of_splits: 0
% 70.89/71.14 % num_of_split_atoms: 0
% 70.89/71.14 % num_of_sem_filtered_clauses: 0
% 70.89/71.14 % num_of_subtypes: 0
% 70.89/71.14 % monotx_restored_types: 0
% 70.89/71.14 % sat_num_of_epr_types: 0
% 70.89/71.14 % sat_num_of_non_cyclic_types: 0
% 70.89/71.14 % sat_guarded_non_collapsed_types: 0
% 70.89/71.14 % is_epr: 0
% 70.89/71.14 % is_horn: 0
% 70.89/71.14 % has_eq: 1
% 70.89/71.14 % num_pure_diseq_elim: 0
% 70.89/71.14 % simp_replaced_by: 0
% 70.89/71.14 % res_preprocessed: 12
% 70.89/71.14 % prep_upred: 0
% 70.89/71.14 % prep_unflattend: 0
% 70.89/71.14 % pred_elim_cands: 0
% 70.89/71.14 % pred_elim: 0
% 70.89/71.14 % pred_elim_cl: 0
% 70.89/71.14 % pred_elim_cycles: 0
% 70.89/71.14 % forced_gc_time: 0
% 70.89/71.14 % gc_basic_clause_elim: 0
% 70.89/71.14 % parsing_time: 0.075
% 70.89/71.14 % sem_filter_time: 0.
% 70.89/71.14 % pred_elim_time: 0.
% 70.89/71.14 % out_proof_time: 0.
% 70.89/71.14 % monotx_time: 0.
% 70.89/71.14 % subtype_inf_time: 0.
% 70.89/71.14 % unif_index_cands_time: 0.066
% 70.89/71.14 % unif_index_add_time: 0.023
% 70.89/71.14 % total_time: 70.656
% 70.89/71.14 % num_of_symbols: 96
% 70.89/71.14 % num_of_terms: 749545
% 70.89/71.14
% 70.89/71.14 % ------ Propositional Solver
% 70.89/71.14
% 70.89/71.14 % prop_solver_calls: 6
% 70.89/71.14 % prop_fast_solver_calls: 24
% 70.89/71.14 % prop_num_of_clauses: 3239
% 70.89/71.14 % prop_preprocess_simplified: 7100
% 70.89/71.14 % prop_fo_subsumed: 0
% 70.89/71.14 % prop_solver_time: 0.
% 70.89/71.14 % prop_fast_solver_time: 0.
% 70.89/71.14 % prop_unsat_core_time: 0.
% 70.89/71.14
% 70.89/71.14 % ------ QBF
% 70.89/71.14
% 70.89/71.14 % qbf_q_res: 0
% 70.89/71.14 % qbf_num_tautologies: 0
% 70.89/71.14 % qbf_prep_cycles: 0
% 70.89/71.14
% 70.89/71.14 % ------ BMC1
% 70.89/71.14
% 70.89/71.14 % bmc1_current_bound: -1
% 70.89/71.14 % bmc1_last_solved_bound: -1
% 70.89/71.14 % bmc1_unsat_core_size: -1
% 70.89/71.14 % bmc1_unsat_core_parents_size: -1
% 70.89/71.14 % bmc1_merge_next_fun: 0
% 70.89/71.14 % bmc1_unsat_core_clauses_time: 0.
% 70.89/71.14
% 70.89/71.14 % ------ Instantiation
% 70.89/71.14
% 70.89/71.14 % inst_num_of_clauses: 2462
% 70.89/71.14 % inst_num_in_passive: 1236
% 70.89/71.14 % inst_num_in_active: 1211
% 70.89/71.15 % inst_num_in_unprocessed: 10
% 70.89/71.15 % inst_num_of_loops: 1275
% 70.89/71.15 % inst_num_of_learning_restarts: 0
% 70.89/71.15 % inst_num_moves_active_passive: 60
% 70.89/71.15 % inst_lit_activity: 248
% 70.89/71.15 % inst_lit_activity_moves: 0
% 70.89/71.15 % inst_num_tautologies: 1
% 70.89/71.15 % inst_num_prop_implied: 0
% 70.89/71.15 % inst_num_existing_simplified: 0
% 70.89/71.15 % inst_num_eq_res_simplified: 0
% 70.89/71.15 % inst_num_child_elim: 0
% 70.89/71.15 % inst_num_of_dismatching_blockings: 1411
% 70.89/71.15 % inst_num_of_non_proper_insts: 2556
% 70.89/71.15 % inst_num_of_duplicates: 2784
% 70.89/71.15 % inst_inst_num_from_inst_to_res: 0
% 70.89/71.15 % inst_dismatching_checking_time: 0.003
% 70.89/71.15
% 70.89/71.15 % ------ Resolution
% 70.89/71.15
% 70.89/71.15 % res_num_of_clauses: 665537
% 70.89/71.15 % res_num_in_passive: 659758
% 70.89/71.15 % res_num_in_active: 5095
% 70.89/71.15 % res_num_of_loops: 5000
% 70.89/71.15 % res_forward_subset_subsumed: 1029
% 70.89/71.15 % res_backward_subset_subsumed: 0
% 70.89/71.15 % res_forward_subsumed: 204
% 70.89/71.15 % res_backward_subsumed: 48
% 70.89/71.15 % res_forward_subsumption_resolution: 3934
% 70.89/71.15 % res_backward_subsumption_resolution: 0
% 70.89/71.15 % res_clause_to_clause_subsumption: 68181
% 70.89/71.15 % res_orphan_elimination: 0
% 70.89/71.15 % res_tautology_del: 0
% 70.89/71.15 % res_num_eq_res_simplified: 0
% 70.89/71.15 % res_num_sel_changes: 0
% 70.89/71.15 % res_moves_from_active_to_pass: 0
% 70.89/71.15
% 70.89/71.15 % Status Unsatisfiable
% 70.89/71.15 % SZS status Theorem
% 70.89/71.15 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------