%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:02:39 AM UTC 2026
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(totality,axiom,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
file('SWV003+0.ax',totality) ).
fof(transitivity_gt,axiom,
! [X,Y,Z] :
( ( gt(Y,Z)
& gt(X,Y) )
=> gt(X,Z) ),
file('SWV003+0.ax',transitivity_gt) ).
fof(irreflexivity_gt,axiom,
! [X] : ~ gt(X,X),
file('SWV003+0.ax',irreflexivity_gt) ).
fof(reflexivity_leq,axiom,
! [X] : leq(X,X),
file('SWV003+0.ax',reflexivity_leq) ).
fof(transitivity_leq,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('SWV003+0.ax',transitivity_leq) ).
fof(lt_gt,axiom,
! [X,Y] :
( lt(X,Y)
<=> gt(Y,X) ),
file('SWV003+0.ax',lt_gt) ).
fof(leq_geq,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('SWV003+0.ax',leq_geq) ).
fof(leq_gt1,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('SWV003+0.ax',leq_gt1) ).
fof(leq_gt2,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('SWV003+0.ax',leq_gt2) ).
fof(leq_gt_pred,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('SWV003+0.ax',leq_gt_pred) ).
fof(gt_succ,axiom,
! [X] : gt(succ(X),X),
file('SWV003+0.ax',gt_succ) ).
fof(leq_succ,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('SWV003+0.ax',leq_succ) ).
fof(leq_succ_gt_equiv,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('SWV003+0.ax',leq_succ_gt_equiv) ).
fof(uniform_int_rand_ranges_hi,axiom,
! [X,C] :
( leq(n0,X)
=> leq(uniform_int_rnd(C,X),X) ),
file('SWV003+0.ax',uniform_int_rand_ranges_hi) ).
fof(uniform_int_rand_ranges_lo,axiom,
! [X,C] :
( leq(n0,X)
=> leq(n0,uniform_int_rnd(C,X)) ),
file('SWV003+0.ax',uniform_int_rand_ranges_lo) ).
fof(const_array1_select,axiom,
! [I,L,U,Val] :
( ( leq(I,U)
& leq(L,I) )
=> a_select2(tptp_const_array1(dim(L,U),Val),I) = Val ),
file('SWV003+0.ax',const_array1_select) ).
fof(const_array2_select,axiom,
! [I,L1,U1,J,L2,U2,Val] :
( ( leq(J,U2)
& leq(L2,J)
& leq(I,U1)
& leq(L1,I) )
=> a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val ),
file('SWV003+0.ax',const_array2_select) ).
fof(matrix_symm_trans,axiom,
! [A,N] :
( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(trans(A),I,J) = a_select3(trans(A),J,I) ) ),
file('SWV003+0.ax',matrix_symm_trans) ).
fof(matrix_symm_inv,axiom,
! [A,N] :
( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(inv(A),I,J) = a_select3(inv(A),J,I) ) ),
file('SWV003+0.ax',matrix_symm_inv) ).
fof(matrix_symm_update_diagonal,axiom,
! [A,N] :
( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) )
=> ! [I,J,K,VAL] :
( ( leq(K,N)
& leq(n0,K)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_update3(A,K,K,VAL),I,J) = a_select3(tptp_update3(A,K,K,VAL),J,I) ) ),
file('SWV003+0.ax',matrix_symm_update_diagonal) ).
fof(matrix_symm_add,axiom,
! [A,B,N] :
( ( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(B,I,J) = a_select3(B,J,I) )
& ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) ) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_madd(A,B),I,J) = a_select3(tptp_madd(A,B),J,I) ) ),
file('SWV003+0.ax',matrix_symm_add) ).
fof(matrix_symm_sub,axiom,
! [A,B,N] :
( ( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(B,I,J) = a_select3(B,J,I) )
& ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) ) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_msub(A,B),I,J) = a_select3(tptp_msub(A,B),J,I) ) ),
file('SWV003+0.ax',matrix_symm_sub) ).
fof(matrix_symm_aba1,axiom,
! [A,B,N] :
( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(B,I,J) = a_select3(B,J,I) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I) ) ),
file('SWV003+0.ax',matrix_symm_aba1) ).
fof(matrix_symm_aba2,axiom,
! [A,B,N,M] :
( ! [I,J] :
( ( leq(J,M)
& leq(n0,J)
& leq(I,M)
& leq(n0,I) )
=> a_select3(B,I,J) = a_select3(B,J,I) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I) ) ),
file('SWV003+0.ax',matrix_symm_aba2) ).
fof(matrix_symm_joseph_update,axiom,
! [A,B,C,D,E,F,N,M] :
( ( ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(F,I,J) = a_select3(F,J,I) )
& ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(A,I,J) = a_select3(A,J,I) )
& ! [I,J] :
( ( leq(J,M)
& leq(n0,J)
& leq(I,M)
& leq(n0,I) )
=> a_select3(D,I,J) = a_select3(D,J,I) ) )
=> ! [I,J] :
( ( leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
=> a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I) ) ),
file('SWV003+0.ax',matrix_symm_joseph_update) ).
fof(sum_plus_base,axiom,
! [Body] : sum(n0,tptp_minus_1,Body) = n0,
file('SWV003+0.ax',sum_plus_base) ).
fof(sum_plus_base_float,axiom,
! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body),
file('SWV003+0.ax',sum_plus_base_float) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('SWV003+0.ax',succ_tptp_minus_1) ).
fof(succ_plus_1_r,axiom,
! [X] : plus(X,n1) = succ(X),
file('SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X] : plus(n1,X) = succ(X),
file('SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_2_r,axiom,
! [X] : plus(X,n2) = succ(succ(X)),
file('SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_2_l,axiom,
! [X] : plus(n2,X) = succ(succ(X)),
file('SWV003+0.ax',succ_plus_2_l) ).
fof(succ_plus_3_r,axiom,
! [X] : plus(X,n3) = succ(succ(succ(X))),
file('SWV003+0.ax',succ_plus_3_r) ).
fof(succ_plus_3_l,axiom,
! [X] : plus(n3,X) = succ(succ(succ(X))),
file('SWV003+0.ax',succ_plus_3_l) ).
fof(succ_plus_4_r,axiom,
! [X] : plus(X,n4) = succ(succ(succ(succ(X)))),
file('SWV003+0.ax',succ_plus_4_r) ).
fof(succ_plus_4_l,axiom,
! [X] : plus(n4,X) = succ(succ(succ(succ(X)))),
file('SWV003+0.ax',succ_plus_4_l) ).
fof(succ_plus_5_r,axiom,
! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))),
file('SWV003+0.ax',succ_plus_5_r) ).
fof(succ_plus_5_l,axiom,
! [X] : plus(n5,X) = succ(succ(succ(succ(succ(X))))),
file('SWV003+0.ax',succ_plus_5_l) ).
fof(pred_minus_1,axiom,
! [X] : minus(X,n1) = pred(X),
file('SWV003+0.ax',pred_minus_1) ).
fof(pred_succ,axiom,
! [X] : pred(succ(X)) = X,
file('SWV003+0.ax',pred_succ) ).
fof(succ_pred,axiom,
! [X] : succ(pred(X)) = X,
file('SWV003+0.ax',succ_pred) ).
fof(leq_succ_succ,axiom,
! [X,Y] :
( leq(succ(X),succ(Y))
<=> leq(X,Y) ),
file('SWV003+0.ax',leq_succ_succ) ).
fof(leq_succ_gt,axiom,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('SWV003+0.ax',leq_succ_gt) ).
fof(leq_minus,axiom,
! [X,Y] :
( leq(minus(X,Y),X)
=> leq(n0,Y) ),
file('SWV003+0.ax',leq_minus) ).
fof(sel3_update_1,axiom,
! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL,
file('SWV003+0.ax',sel3_update_1) ).
fof(sel3_update_2,axiom,
! [I,J,U,V,X,VAL,VAL2] :
( ( a_select3(X,U,V) = VAL
& J = V
& I != U )
=> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ),
file('SWV003+0.ax',sel3_update_2) ).
fof(sel3_update_3,axiom,
! [I,J,U,V,X,VAL] :
( ( leq(J,V)
& leq(n0,J)
& leq(I,U)
& leq(n0,I)
& ! [I0,J0] :
( ( leq(J0,V)
& leq(I0,U)
& leq(n0,J0)
& leq(n0,I0) )
=> a_select3(X,I0,J0) = VAL ) )
=> a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL ),
file('SWV003+0.ax',sel3_update_3) ).
fof(sel2_update_1,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
file('SWV003+0.ax',sel2_update_1) ).
fof(sel2_update_2,axiom,
! [I,U,X,VAL,VAL2] :
( ( a_select2(X,U) = VAL
& I != U )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
file('SWV003+0.ax',sel2_update_2) ).
fof(sel2_update_3,axiom,
! [I,U,X,VAL] :
( ( leq(I,U)
& leq(n0,I)
& ! [I0] :
( ( leq(I0,U)
& leq(n0,I0) )
=> a_select2(X,I0) = VAL ) )
=> a_select2(tptp_update2(X,U,VAL),I) = VAL ),
file('SWV003+0.ax',sel2_update_3) ).
fof(ttrue,axiom,
true,
file('SWV003+0.ax',ttrue) ).
fof(defuse,axiom,
def != use,
file('SWV003+0.ax',defuse) ).
fof(cl5_nebula_array_0025,conjecture,
( ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) )
=> ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) ) ),
file('theBenchmark.p',cl5_nebula_array_0025) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('theBenchmark.p',gt_5_4) ).
fof(gt_4_tptp_minus_1,axiom,
gt(n4,tptp_minus_1),
file('theBenchmark.p',gt_4_tptp_minus_1) ).
fof(gt_5_tptp_minus_1,axiom,
gt(n5,tptp_minus_1),
file('theBenchmark.p',gt_5_tptp_minus_1) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('theBenchmark.p',gt_0_tptp_minus_1) ).
fof(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
file('theBenchmark.p',gt_1_tptp_minus_1) ).
fof(gt_2_tptp_minus_1,axiom,
gt(n2,tptp_minus_1),
file('theBenchmark.p',gt_2_tptp_minus_1) ).
fof(gt_3_tptp_minus_1,axiom,
gt(n3,tptp_minus_1),
file('theBenchmark.p',gt_3_tptp_minus_1) ).
fof(gt_4_0,axiom,
gt(n4,n0),
file('theBenchmark.p',gt_4_0) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('theBenchmark.p',gt_5_0) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('theBenchmark.p',gt_1_0) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('theBenchmark.p',gt_2_0) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('theBenchmark.p',gt_3_0) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('theBenchmark.p',gt_4_1) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('theBenchmark.p',gt_5_1) ).
fof(gt_2_1,axiom,
gt(n2,n1),
file('theBenchmark.p',gt_2_1) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('theBenchmark.p',gt_3_1) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('theBenchmark.p',gt_4_2) ).
fof(gt_5_2,axiom,
gt(n5,n2),
file('theBenchmark.p',gt_5_2) ).
fof(gt_3_2,axiom,
gt(n3,n2),
file('theBenchmark.p',gt_3_2) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('theBenchmark.p',gt_4_3) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('theBenchmark.p',gt_5_3) ).
fof(finite_domain_4,axiom,
! [X] :
( ( leq(X,n4)
& leq(n0,X) )
=> ( X = n4
| X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('theBenchmark.p',finite_domain_4) ).
fof(finite_domain_5,axiom,
! [X] :
( ( leq(X,n5)
& leq(n0,X) )
=> ( X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('theBenchmark.p',finite_domain_5) ).
fof(finite_domain_0,axiom,
! [X] :
( ( leq(X,n0)
& leq(n0,X) )
=> X = n0 ),
file('theBenchmark.p',finite_domain_0) ).
fof(finite_domain_1,axiom,
! [X] :
( ( leq(X,n1)
& leq(n0,X) )
=> ( X = n1
| X = n0 ) ),
file('theBenchmark.p',finite_domain_1) ).
fof(finite_domain_2,axiom,
! [X] :
( ( leq(X,n2)
& leq(n0,X) )
=> ( X = n2
| X = n1
| X = n0 ) ),
file('theBenchmark.p',finite_domain_2) ).
fof(finite_domain_3,axiom,
! [X] :
( ( leq(X,n3)
& leq(n0,X) )
=> ( X = n3
| X = n2
| X = n1
| X = n0 ) ),
file('theBenchmark.p',finite_domain_3) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('theBenchmark.p',successor_4) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('theBenchmark.p',successor_5) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('theBenchmark.p',successor_1) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('theBenchmark.p',successor_2) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('theBenchmark.p',successor_3) ).
fof(f_1_1,plain,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
inference(fof_nnf,[status(thm)],[totality]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( U_1 = U_0
| gt(U_0,U_1)
| gt(U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( U_1 = U_0
| gt(U_0,U_1)
| gt(U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(fof_nnf,[status(thm)],[transitivity_gt]) ).
fof(f_2_2,plain,
! [U_4,U_3,U_2] :
( gt(U_4,U_2)
| ~ gt(U_3,U_2)
| ~ gt(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( gt(U_4,U_2)
| ~ gt(U_3,U_2)
| ~ gt(U_4,U_3) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [X] : ~ gt(X,X),
inference(fof_nnf,[status(thm)],[irreflexivity_gt]) ).
fof(f_3_2,plain,
! [U_5] : ~ gt(U_5,U_5),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
~ gt(U_5,U_5),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [X] : leq(X,X),
inference(fof_nnf,[status(thm)],[reflexivity_leq]) ).
fof(f_4_2,plain,
! [U_6] : leq(U_6,U_6),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
leq(U_6,U_6),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[transitivity_leq]) ).
fof(f_5_2,plain,
! [U_9,U_8,U_7] :
( leq(U_9,U_7)
| ~ leq(U_8,U_7)
| ~ leq(U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( leq(U_9,U_7)
| ~ leq(U_8,U_7)
| ~ leq(U_9,U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [X,Y] :
( ( lt(X,Y)
| ~ gt(Y,X) )
& ( gt(Y,X)
| ~ lt(X,Y) ) ),
inference(fof_nnf,[status(thm)],[lt_gt]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( ( lt(U_11,U_10)
| ~ gt(U_10,U_11) )
& ( gt(U_10,U_11)
| ~ lt(U_11,U_10) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_15,U_13] :
( lt(U_15,U_13)
| ~ gt(U_13,U_15) )
& ! [U_14,U_12] :
( gt(U_12,U_14)
| ~ lt(U_14,U_12) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( gt(U_12,U_14)
| ~ lt(U_14,U_12) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( lt(U_15,U_13)
| ~ gt(U_13,U_15) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X,Y] :
( ( geq(X,Y)
| ~ leq(Y,X) )
& ( leq(Y,X)
| ~ geq(X,Y) ) ),
inference(fof_nnf,[status(thm)],[leq_geq]) ).
fof(f_7_2,plain,
! [U_17,U_16] :
( ( geq(U_17,U_16)
| ~ leq(U_16,U_17) )
& ( leq(U_16,U_17)
| ~ geq(U_17,U_16) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_21,U_19] :
( geq(U_21,U_19)
| ~ leq(U_19,U_21) )
& ! [U_20,U_18] :
( leq(U_18,U_20)
| ~ geq(U_20,U_18) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( leq(U_18,U_20)
| ~ geq(U_20,U_18) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( geq(U_21,U_19)
| ~ leq(U_19,U_21) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(fof_nnf,[status(thm)],[leq_gt1]) ).
fof(f_8_2,plain,
! [U_23,U_22] :
( leq(U_23,U_22)
| ~ gt(U_22,U_23) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( leq(U_23,U_22)
| ~ gt(U_22,U_23) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[leq_gt2]) ).
fof(f_9_2,plain,
! [U_25,U_24] :
( gt(U_24,U_25)
| U_25 = U_24
| ~ leq(U_25,U_24) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( gt(U_24,U_25)
| U_25 = U_24
| ~ leq(U_25,U_24) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [X,Y] :
( ( leq(X,pred(Y))
| ~ gt(Y,X) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(fof_nnf,[status(thm)],[leq_gt_pred]) ).
fof(f_10_2,plain,
! [U_27,U_26] :
( ( leq(U_27,pred(U_26))
| ~ gt(U_26,U_27) )
& ( gt(U_26,U_27)
| ~ leq(U_27,pred(U_26)) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_31,U_29] :
( leq(U_31,pred(U_29))
| ~ gt(U_29,U_31) )
& ! [U_30,U_28] :
( gt(U_28,U_30)
| ~ leq(U_30,pred(U_28)) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( gt(U_28,U_30)
| ~ leq(U_30,pred(U_28)) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( leq(U_31,pred(U_29))
| ~ gt(U_29,U_31) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] : gt(succ(X),X),
inference(fof_nnf,[status(thm)],[gt_succ]) ).
fof(f_11_2,plain,
! [U_32] : gt(succ(U_32),U_32),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
gt(succ(U_32),U_32),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [X,Y] :
( leq(X,succ(Y))
| ~ leq(X,Y) ),
inference(fof_nnf,[status(thm)],[leq_succ]) ).
fof(f_12_2,plain,
! [U_34,U_33] :
( leq(U_34,succ(U_33))
| ~ leq(U_34,U_33) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( leq(U_34,succ(U_33))
| ~ leq(U_34,U_33) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [X,Y] :
( ( leq(X,Y)
| ~ gt(succ(Y),X) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv]) ).
fof(f_13_2,plain,
! [U_36,U_35] :
( ( leq(U_36,U_35)
| ~ gt(succ(U_35),U_36) )
& ( gt(succ(U_35),U_36)
| ~ leq(U_36,U_35) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_40,U_38] :
( leq(U_40,U_38)
| ~ gt(succ(U_38),U_40) )
& ! [U_39,U_37] :
( gt(succ(U_37),U_39)
| ~ leq(U_39,U_37) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( gt(succ(U_37),U_39)
| ~ leq(U_39,U_37) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( leq(U_40,U_38)
| ~ gt(succ(U_38),U_40) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X,C] :
( leq(uniform_int_rnd(C,X),X)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_hi]) ).
fof(f_14_2,plain,
! [U_42,U_41] :
( leq(uniform_int_rnd(U_41,U_42),U_42)
| ~ leq(n0,U_42) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
! [U_42] :
( ! [U_41] : leq(uniform_int_rnd(U_41,U_42),U_42)
| ~ leq(n0,U_42) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( leq(uniform_int_rnd(U_41,U_42),U_42)
| ~ leq(n0,U_42) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [X,C] :
( leq(n0,uniform_int_rnd(C,X))
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_lo]) ).
fof(f_15_2,plain,
! [U_44,U_43] :
( leq(n0,uniform_int_rnd(U_43,U_44))
| ~ leq(n0,U_44) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
! [U_44] :
( ! [U_43] : leq(n0,uniform_int_rnd(U_43,U_44))
| ~ leq(n0,U_44) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( leq(n0,uniform_int_rnd(U_43,U_44))
| ~ leq(n0,U_44) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [I,L,U,Val] :
( a_select2(tptp_const_array1(dim(L,U),Val),I) = Val
| ~ leq(I,U)
| ~ leq(L,I) ),
inference(fof_nnf,[status(thm)],[const_array1_select]) ).
fof(f_16_2,plain,
! [U_48,U_47,U_46,U_45] :
( a_select2(tptp_const_array1(dim(U_47,U_46),U_45),U_48) = U_45
| ~ leq(U_48,U_46)
| ~ leq(U_47,U_48) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_48,U_47,U_46] :
( ! [U_45] : a_select2(tptp_const_array1(dim(U_47,U_46),U_45),U_48) = U_45
| ~ leq(U_48,U_46)
| ~ leq(U_47,U_48) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( a_select2(tptp_const_array1(dim(U_47,U_46),U_45),U_48) = U_45
| ~ leq(U_48,U_46)
| ~ leq(U_47,U_48) ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [I,L1,U1,J,L2,U2,Val] :
( a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val
| ~ leq(J,U2)
| ~ leq(L2,J)
| ~ leq(I,U1)
| ~ leq(L1,I) ),
inference(fof_nnf,[status(thm)],[const_array2_select]) ).
fof(f_17_2,plain,
! [U_55,U_54,U_53,U_52,U_51,U_50,U_49] :
( a_select3(tptp_const_array2(dim(U_54,U_53),dim(U_51,U_50),U_49),U_55,U_52) = U_49
| ~ leq(U_52,U_50)
| ~ leq(U_51,U_52)
| ~ leq(U_55,U_53)
| ~ leq(U_54,U_55) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
! [U_55,U_54,U_53,U_52,U_51,U_50] :
( ! [U_49] : a_select3(tptp_const_array2(dim(U_54,U_53),dim(U_51,U_50),U_49),U_55,U_52) = U_49
| ~ leq(U_52,U_50)
| ~ leq(U_51,U_52)
| ~ leq(U_55,U_53)
| ~ leq(U_54,U_55) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( a_select3(tptp_const_array2(dim(U_54,U_53),dim(U_51,U_50),U_49),U_55,U_52) = U_49
| ~ leq(U_52,U_50)
| ~ leq(U_51,U_52)
| ~ leq(U_55,U_53)
| ~ leq(U_54,U_55) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [A,N] :
( ! [I,J] :
( a_select3(trans(A),I,J) = a_select3(trans(A),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_trans]) ).
fof(f_18_2,plain,
! [U_61,U_60] :
( ! [U_59,U_58] :
( a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) )
| ? [U_57,U_56] :
( a_select3(U_61,U_57,U_56) != a_select3(U_61,U_56,U_57)
& leq(U_56,U_60)
& leq(n0,U_56)
& leq(U_57,U_60)
& leq(n0,U_57) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
! [U_61,U_60] :
( ! [U_59,U_58] :
( a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) )
| ? [U_56] :
( a_select3(U_61,sK1(U_61,U_60),U_56) != a_select3(U_61,U_56,sK1(U_61,U_60))
& leq(U_56,U_60)
& leq(n0,U_56)
& leq(sK1(U_61,U_60),U_60)
& leq(n0,sK1(U_61,U_60)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_57,sK1(U_61,U_60))],[f_18_2]) ).
fof(f_18_4,plain,
! [U_61,U_60] :
( ! [U_59,U_58] :
( a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) )
| ( a_select3(U_61,sK1(U_61,U_60),sK2(U_61,U_60)) != a_select3(U_61,sK2(U_61,U_60),sK1(U_61,U_60))
& leq(sK2(U_61,U_60),U_60)
& leq(n0,sK2(U_61,U_60))
& leq(sK1(U_61,U_60),U_60)
& leq(n0,sK1(U_61,U_60)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_56,sK2(U_61,U_60))],[f_18_3]) ).
cnf(f_18_5,plain,
( leq(n0,sK1(U_61,U_60))
| a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_6,plain,
( leq(sK1(U_61,U_60),U_60)
| a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_7,plain,
( leq(n0,sK2(U_61,U_60))
| a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_8,plain,
( leq(sK2(U_61,U_60),U_60)
| a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_9,plain,
( a_select3(U_61,sK1(U_61,U_60),sK2(U_61,U_60)) != a_select3(U_61,sK2(U_61,U_60),sK1(U_61,U_60))
| a_select3(trans(U_61),U_59,U_58) = a_select3(trans(U_61),U_58,U_59)
| ~ leq(U_58,U_60)
| ~ leq(n0,U_58)
| ~ leq(U_59,U_60)
| ~ leq(n0,U_59) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
! [A,N] :
( ! [I,J] :
( a_select3(inv(A),I,J) = a_select3(inv(A),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_inv]) ).
fof(f_19_2,plain,
! [U_67,U_66] :
( ! [U_65,U_64] :
( a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) )
| ? [U_63,U_62] :
( a_select3(U_67,U_63,U_62) != a_select3(U_67,U_62,U_63)
& leq(U_62,U_66)
& leq(n0,U_62)
& leq(U_63,U_66)
& leq(n0,U_63) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
! [U_67,U_66] :
( ! [U_65,U_64] :
( a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) )
| ? [U_62] :
( a_select3(U_67,sK3(U_67,U_66),U_62) != a_select3(U_67,U_62,sK3(U_67,U_66))
& leq(U_62,U_66)
& leq(n0,U_62)
& leq(sK3(U_67,U_66),U_66)
& leq(n0,sK3(U_67,U_66)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_63,sK3(U_67,U_66))],[f_19_2]) ).
fof(f_19_4,plain,
! [U_67,U_66] :
( ! [U_65,U_64] :
( a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) )
| ( a_select3(U_67,sK3(U_67,U_66),sK4(U_67,U_66)) != a_select3(U_67,sK4(U_67,U_66),sK3(U_67,U_66))
& leq(sK4(U_67,U_66),U_66)
& leq(n0,sK4(U_67,U_66))
& leq(sK3(U_67,U_66),U_66)
& leq(n0,sK3(U_67,U_66)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_62,sK4(U_67,U_66))],[f_19_3]) ).
cnf(f_19_5,plain,
( leq(n0,sK3(U_67,U_66))
| a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_6,plain,
( leq(sK3(U_67,U_66),U_66)
| a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_7,plain,
( leq(n0,sK4(U_67,U_66))
| a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_8,plain,
( leq(sK4(U_67,U_66),U_66)
| a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_9,plain,
( a_select3(U_67,sK3(U_67,U_66),sK4(U_67,U_66)) != a_select3(U_67,sK4(U_67,U_66),sK3(U_67,U_66))
| a_select3(inv(U_67),U_65,U_64) = a_select3(inv(U_67),U_64,U_65)
| ~ leq(U_64,U_66)
| ~ leq(n0,U_64)
| ~ leq(U_65,U_66)
| ~ leq(n0,U_65) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [A,N] :
( ! [I,J,K,VAL] :
( a_select3(tptp_update3(A,K,K,VAL),I,J) = a_select3(tptp_update3(A,K,K,VAL),J,I)
| ~ leq(K,N)
| ~ leq(n0,K)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_update_diagonal]) ).
fof(f_20_2,plain,
! [U_75,U_74] :
( ! [U_73,U_72,U_71,U_70] :
( a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) )
| ? [U_69,U_68] :
( a_select3(U_75,U_69,U_68) != a_select3(U_75,U_68,U_69)
& leq(U_68,U_74)
& leq(n0,U_68)
& leq(U_69,U_74)
& leq(n0,U_69) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_75,U_74] :
( ! [U_73,U_72,U_71] :
( ! [U_70] : a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) )
| ? [U_69,U_68] :
( a_select3(U_75,U_69,U_68) != a_select3(U_75,U_68,U_69)
& leq(U_68,U_74)
& leq(n0,U_68)
& leq(U_69,U_74)
& leq(n0,U_69) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
! [U_75,U_74] :
( ! [U_73,U_72,U_71] :
( ! [U_70] : a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) )
| ? [U_68] :
( a_select3(U_75,sK5(U_75,U_74),U_68) != a_select3(U_75,U_68,sK5(U_75,U_74))
& leq(U_68,U_74)
& leq(n0,U_68)
& leq(sK5(U_75,U_74),U_74)
& leq(n0,sK5(U_75,U_74)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_69,sK5(U_75,U_74))],[f_20_3]) ).
fof(f_20_5,plain,
! [U_75,U_74] :
( ! [U_73,U_72,U_71] :
( ! [U_70] : a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) )
| ( a_select3(U_75,sK5(U_75,U_74),sK6(U_75,U_74)) != a_select3(U_75,sK6(U_75,U_74),sK5(U_75,U_74))
& leq(sK6(U_75,U_74),U_74)
& leq(n0,sK6(U_75,U_74))
& leq(sK5(U_75,U_74),U_74)
& leq(n0,sK5(U_75,U_74)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_68,sK6(U_75,U_74))],[f_20_4]) ).
cnf(f_20_6,plain,
( leq(n0,sK5(U_75,U_74))
| a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_7,plain,
( leq(sK5(U_75,U_74),U_74)
| a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_8,plain,
( leq(n0,sK6(U_75,U_74))
| a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_9,plain,
( leq(sK6(U_75,U_74),U_74)
| a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) ),
inference(clausify,[status(thm)],[f_20_5]) ).
cnf(f_20_10,plain,
( a_select3(U_75,sK5(U_75,U_74),sK6(U_75,U_74)) != a_select3(U_75,sK6(U_75,U_74),sK5(U_75,U_74))
| a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_73,U_72) = a_select3(tptp_update3(U_75,U_71,U_71,U_70),U_72,U_73)
| ~ leq(U_71,U_74)
| ~ leq(n0,U_71)
| ~ leq(U_72,U_74)
| ~ leq(n0,U_72)
| ~ leq(U_73,U_74)
| ~ leq(n0,U_73) ),
inference(clausify,[status(thm)],[f_20_5]) ).
fof(f_21_1,plain,
! [A,B,N] :
( ! [I,J] :
( a_select3(tptp_madd(A,B),I,J) = a_select3(tptp_madd(A,B),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(B,I,J) != a_select3(B,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_add]) ).
fof(f_21_2,plain,
! [U_84,U_83,U_82] :
( ! [U_81,U_80] :
( a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) )
| ? [U_79,U_78] :
( a_select3(U_83,U_79,U_78) != a_select3(U_83,U_78,U_79)
& leq(U_78,U_82)
& leq(n0,U_78)
& leq(U_79,U_82)
& leq(n0,U_79) )
| ? [U_77,U_76] :
( a_select3(U_84,U_77,U_76) != a_select3(U_84,U_76,U_77)
& leq(U_76,U_82)
& leq(n0,U_76)
& leq(U_77,U_82)
& leq(n0,U_77) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_84,U_83,U_82] :
( ! [U_81,U_80] :
( a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) )
| ? [U_79,U_78] :
( a_select3(U_83,U_79,U_78) != a_select3(U_83,U_78,U_79)
& leq(U_78,U_82)
& leq(n0,U_78)
& leq(U_79,U_82)
& leq(n0,U_79) )
| ? [U_76] :
( a_select3(U_84,sK7(U_84,U_83,U_82),U_76) != a_select3(U_84,U_76,sK7(U_84,U_83,U_82))
& leq(U_76,U_82)
& leq(n0,U_76)
& leq(sK7(U_84,U_83,U_82),U_82)
& leq(n0,sK7(U_84,U_83,U_82)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_77,sK7(U_84,U_83,U_82))],[f_21_2]) ).
fof(f_21_4,plain,
! [U_84,U_83,U_82] :
( ! [U_81,U_80] :
( a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) )
| ? [U_79,U_78] :
( a_select3(U_83,U_79,U_78) != a_select3(U_83,U_78,U_79)
& leq(U_78,U_82)
& leq(n0,U_78)
& leq(U_79,U_82)
& leq(n0,U_79) )
| ( a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
& leq(sK8(U_84,U_83,U_82),U_82)
& leq(n0,sK8(U_84,U_83,U_82))
& leq(sK7(U_84,U_83,U_82),U_82)
& leq(n0,sK7(U_84,U_83,U_82)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_76,sK8(U_84,U_83,U_82))],[f_21_3]) ).
fof(f_21_5,plain,
! [U_84,U_83,U_82] :
( ! [U_81,U_80] :
( a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) )
| ? [U_78] :
( a_select3(U_83,sK9(U_84,U_83,U_82),U_78) != a_select3(U_83,U_78,sK9(U_84,U_83,U_82))
& leq(U_78,U_82)
& leq(n0,U_78)
& leq(sK9(U_84,U_83,U_82),U_82)
& leq(n0,sK9(U_84,U_83,U_82)) )
| ( a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
& leq(sK8(U_84,U_83,U_82),U_82)
& leq(n0,sK8(U_84,U_83,U_82))
& leq(sK7(U_84,U_83,U_82),U_82)
& leq(n0,sK7(U_84,U_83,U_82)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_79,sK9(U_84,U_83,U_82))],[f_21_4]) ).
fof(f_21_6,plain,
! [U_84,U_83,U_82] :
( ! [U_81,U_80] :
( a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) )
| ( a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
& leq(sK10(U_84,U_83,U_82),U_82)
& leq(n0,sK10(U_84,U_83,U_82))
& leq(sK9(U_84,U_83,U_82),U_82)
& leq(n0,sK9(U_84,U_83,U_82)) )
| ( a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
& leq(sK8(U_84,U_83,U_82),U_82)
& leq(n0,sK8(U_84,U_83,U_82))
& leq(sK7(U_84,U_83,U_82),U_82)
& leq(n0,sK7(U_84,U_83,U_82)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_78,sK10(U_84,U_83,U_82))],[f_21_5]) ).
cnf(f_21_7,plain,
( leq(n0,sK9(U_84,U_83,U_82))
| leq(n0,sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_8,plain,
( leq(sK9(U_84,U_83,U_82),U_82)
| leq(n0,sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_9,plain,
( leq(n0,sK10(U_84,U_83,U_82))
| leq(n0,sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_10,plain,
( leq(sK10(U_84,U_83,U_82),U_82)
| leq(n0,sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_11,plain,
( leq(n0,sK9(U_84,U_83,U_82))
| leq(sK7(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_12,plain,
( leq(sK9(U_84,U_83,U_82),U_82)
| leq(sK7(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_13,plain,
( leq(n0,sK10(U_84,U_83,U_82))
| leq(sK7(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_14,plain,
( leq(sK10(U_84,U_83,U_82),U_82)
| leq(sK7(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_15,plain,
( leq(n0,sK9(U_84,U_83,U_82))
| leq(n0,sK8(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_16,plain,
( leq(sK9(U_84,U_83,U_82),U_82)
| leq(n0,sK8(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_17,plain,
( leq(n0,sK10(U_84,U_83,U_82))
| leq(n0,sK8(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_18,plain,
( leq(sK10(U_84,U_83,U_82),U_82)
| leq(n0,sK8(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_19,plain,
( leq(n0,sK9(U_84,U_83,U_82))
| leq(sK8(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_20,plain,
( leq(sK9(U_84,U_83,U_82),U_82)
| leq(sK8(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_21,plain,
( leq(n0,sK10(U_84,U_83,U_82))
| leq(sK8(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_22,plain,
( leq(sK10(U_84,U_83,U_82),U_82)
| leq(sK8(U_84,U_83,U_82),U_82)
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_23,plain,
( leq(n0,sK7(U_84,U_83,U_82))
| a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_24,plain,
( leq(sK7(U_84,U_83,U_82),U_82)
| a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_25,plain,
( leq(n0,sK8(U_84,U_83,U_82))
| a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_26,plain,
( leq(sK8(U_84,U_83,U_82),U_82)
| a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_27,plain,
( leq(n0,sK9(U_84,U_83,U_82))
| a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_28,plain,
( leq(sK9(U_84,U_83,U_82),U_82)
| a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_29,plain,
( leq(n0,sK10(U_84,U_83,U_82))
| a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_30,plain,
( leq(sK10(U_84,U_83,U_82),U_82)
| a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
cnf(f_21_31,plain,
( a_select3(U_83,sK9(U_84,U_83,U_82),sK10(U_84,U_83,U_82)) != a_select3(U_83,sK10(U_84,U_83,U_82),sK9(U_84,U_83,U_82))
| a_select3(U_84,sK7(U_84,U_83,U_82),sK8(U_84,U_83,U_82)) != a_select3(U_84,sK8(U_84,U_83,U_82),sK7(U_84,U_83,U_82))
| a_select3(tptp_madd(U_84,U_83),U_81,U_80) = a_select3(tptp_madd(U_84,U_83),U_80,U_81)
| ~ leq(U_80,U_82)
| ~ leq(n0,U_80)
| ~ leq(U_81,U_82)
| ~ leq(n0,U_81) ),
inference(clausify,[status(thm)],[f_21_6]) ).
fof(f_22_1,plain,
! [A,B,N] :
( ! [I,J] :
( a_select3(tptp_msub(A,B),I,J) = a_select3(tptp_msub(A,B),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(B,I,J) != a_select3(B,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_sub]) ).
fof(f_22_2,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) )
| ? [U_88,U_87] :
( a_select3(U_92,U_88,U_87) != a_select3(U_92,U_87,U_88)
& leq(U_87,U_91)
& leq(n0,U_87)
& leq(U_88,U_91)
& leq(n0,U_88) )
| ? [U_86,U_85] :
( a_select3(U_93,U_86,U_85) != a_select3(U_93,U_85,U_86)
& leq(U_85,U_91)
& leq(n0,U_85)
& leq(U_86,U_91)
& leq(n0,U_86) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) )
| ? [U_88,U_87] :
( a_select3(U_92,U_88,U_87) != a_select3(U_92,U_87,U_88)
& leq(U_87,U_91)
& leq(n0,U_87)
& leq(U_88,U_91)
& leq(n0,U_88) )
| ? [U_85] :
( a_select3(U_93,sK11(U_93,U_92,U_91),U_85) != a_select3(U_93,U_85,sK11(U_93,U_92,U_91))
& leq(U_85,U_91)
& leq(n0,U_85)
& leq(sK11(U_93,U_92,U_91),U_91)
& leq(n0,sK11(U_93,U_92,U_91)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_86,sK11(U_93,U_92,U_91))],[f_22_2]) ).
fof(f_22_4,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) )
| ? [U_88,U_87] :
( a_select3(U_92,U_88,U_87) != a_select3(U_92,U_87,U_88)
& leq(U_87,U_91)
& leq(n0,U_87)
& leq(U_88,U_91)
& leq(n0,U_88) )
| ( a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
& leq(sK12(U_93,U_92,U_91),U_91)
& leq(n0,sK12(U_93,U_92,U_91))
& leq(sK11(U_93,U_92,U_91),U_91)
& leq(n0,sK11(U_93,U_92,U_91)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_85,sK12(U_93,U_92,U_91))],[f_22_3]) ).
fof(f_22_5,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) )
| ? [U_87] :
( a_select3(U_92,sK13(U_93,U_92,U_91),U_87) != a_select3(U_92,U_87,sK13(U_93,U_92,U_91))
& leq(U_87,U_91)
& leq(n0,U_87)
& leq(sK13(U_93,U_92,U_91),U_91)
& leq(n0,sK13(U_93,U_92,U_91)) )
| ( a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
& leq(sK12(U_93,U_92,U_91),U_91)
& leq(n0,sK12(U_93,U_92,U_91))
& leq(sK11(U_93,U_92,U_91),U_91)
& leq(n0,sK11(U_93,U_92,U_91)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_88,sK13(U_93,U_92,U_91))],[f_22_4]) ).
fof(f_22_6,plain,
! [U_93,U_92,U_91] :
( ! [U_90,U_89] :
( a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) )
| ( a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
& leq(sK14(U_93,U_92,U_91),U_91)
& leq(n0,sK14(U_93,U_92,U_91))
& leq(sK13(U_93,U_92,U_91),U_91)
& leq(n0,sK13(U_93,U_92,U_91)) )
| ( a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
& leq(sK12(U_93,U_92,U_91),U_91)
& leq(n0,sK12(U_93,U_92,U_91))
& leq(sK11(U_93,U_92,U_91),U_91)
& leq(n0,sK11(U_93,U_92,U_91)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_87,sK14(U_93,U_92,U_91))],[f_22_5]) ).
cnf(f_22_7,plain,
( leq(n0,sK13(U_93,U_92,U_91))
| leq(n0,sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_8,plain,
( leq(sK13(U_93,U_92,U_91),U_91)
| leq(n0,sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_9,plain,
( leq(n0,sK14(U_93,U_92,U_91))
| leq(n0,sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_10,plain,
( leq(sK14(U_93,U_92,U_91),U_91)
| leq(n0,sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_11,plain,
( leq(n0,sK13(U_93,U_92,U_91))
| leq(sK11(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_12,plain,
( leq(sK13(U_93,U_92,U_91),U_91)
| leq(sK11(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_13,plain,
( leq(n0,sK14(U_93,U_92,U_91))
| leq(sK11(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_14,plain,
( leq(sK14(U_93,U_92,U_91),U_91)
| leq(sK11(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_15,plain,
( leq(n0,sK13(U_93,U_92,U_91))
| leq(n0,sK12(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_16,plain,
( leq(sK13(U_93,U_92,U_91),U_91)
| leq(n0,sK12(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_17,plain,
( leq(n0,sK14(U_93,U_92,U_91))
| leq(n0,sK12(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_18,plain,
( leq(sK14(U_93,U_92,U_91),U_91)
| leq(n0,sK12(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_19,plain,
( leq(n0,sK13(U_93,U_92,U_91))
| leq(sK12(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_20,plain,
( leq(sK13(U_93,U_92,U_91),U_91)
| leq(sK12(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_21,plain,
( leq(n0,sK14(U_93,U_92,U_91))
| leq(sK12(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_22,plain,
( leq(sK14(U_93,U_92,U_91),U_91)
| leq(sK12(U_93,U_92,U_91),U_91)
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_23,plain,
( leq(n0,sK11(U_93,U_92,U_91))
| a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_24,plain,
( leq(sK11(U_93,U_92,U_91),U_91)
| a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_25,plain,
( leq(n0,sK12(U_93,U_92,U_91))
| a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_26,plain,
( leq(sK12(U_93,U_92,U_91),U_91)
| a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_27,plain,
( leq(n0,sK13(U_93,U_92,U_91))
| a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_28,plain,
( leq(sK13(U_93,U_92,U_91),U_91)
| a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_29,plain,
( leq(n0,sK14(U_93,U_92,U_91))
| a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_30,plain,
( leq(sK14(U_93,U_92,U_91),U_91)
| a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
cnf(f_22_31,plain,
( a_select3(U_92,sK13(U_93,U_92,U_91),sK14(U_93,U_92,U_91)) != a_select3(U_92,sK14(U_93,U_92,U_91),sK13(U_93,U_92,U_91))
| a_select3(U_93,sK11(U_93,U_92,U_91),sK12(U_93,U_92,U_91)) != a_select3(U_93,sK12(U_93,U_92,U_91),sK11(U_93,U_92,U_91))
| a_select3(tptp_msub(U_93,U_92),U_90,U_89) = a_select3(tptp_msub(U_93,U_92),U_89,U_90)
| ~ leq(U_89,U_91)
| ~ leq(n0,U_89)
| ~ leq(U_90,U_91)
| ~ leq(n0,U_90) ),
inference(clausify,[status(thm)],[f_22_6]) ).
fof(f_23_1,plain,
! [A,B,N] :
( ! [I,J] :
( a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(B,I,J) != a_select3(B,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_aba1]) ).
fof(f_23_2,plain,
! [U_100,U_99,U_98] :
( ! [U_97,U_96] :
( a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) )
| ? [U_95,U_94] :
( a_select3(U_99,U_95,U_94) != a_select3(U_99,U_94,U_95)
& leq(U_94,U_98)
& leq(n0,U_94)
& leq(U_95,U_98)
& leq(n0,U_95) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_100,U_99,U_98] :
( ! [U_97,U_96] :
( a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) )
| ? [U_94] :
( a_select3(U_99,sK15(U_100,U_99,U_98),U_94) != a_select3(U_99,U_94,sK15(U_100,U_99,U_98))
& leq(U_94,U_98)
& leq(n0,U_94)
& leq(sK15(U_100,U_99,U_98),U_98)
& leq(n0,sK15(U_100,U_99,U_98)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_95,sK15(U_100,U_99,U_98))],[f_23_2]) ).
fof(f_23_4,plain,
! [U_100,U_99,U_98] :
( ! [U_97,U_96] :
( a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) )
| ( a_select3(U_99,sK15(U_100,U_99,U_98),sK16(U_100,U_99,U_98)) != a_select3(U_99,sK16(U_100,U_99,U_98),sK15(U_100,U_99,U_98))
& leq(sK16(U_100,U_99,U_98),U_98)
& leq(n0,sK16(U_100,U_99,U_98))
& leq(sK15(U_100,U_99,U_98),U_98)
& leq(n0,sK15(U_100,U_99,U_98)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_94,sK16(U_100,U_99,U_98))],[f_23_3]) ).
cnf(f_23_5,plain,
( leq(n0,sK15(U_100,U_99,U_98))
| a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( leq(sK15(U_100,U_99,U_98),U_98)
| a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_7,plain,
( leq(n0,sK16(U_100,U_99,U_98))
| a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_8,plain,
( leq(sK16(U_100,U_99,U_98),U_98)
| a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_9,plain,
( a_select3(U_99,sK15(U_100,U_99,U_98),sK16(U_100,U_99,U_98)) != a_select3(U_99,sK16(U_100,U_99,U_98),sK15(U_100,U_99,U_98))
| a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_97,U_96) = a_select3(tptp_mmul(U_100,tptp_mmul(U_99,trans(U_100))),U_96,U_97)
| ~ leq(U_96,U_98)
| ~ leq(n0,U_96)
| ~ leq(U_97,U_98)
| ~ leq(n0,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [A,B,N,M] :
( ! [I,J] :
( a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(B,I,J) != a_select3(B,J,I)
& leq(J,M)
& leq(n0,J)
& leq(I,M)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_aba2]) ).
fof(f_24_2,plain,
! [U_108,U_107,U_106,U_105] :
( ! [U_104,U_103] :
( a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) )
| ? [U_102,U_101] :
( a_select3(U_107,U_102,U_101) != a_select3(U_107,U_101,U_102)
& leq(U_101,U_105)
& leq(n0,U_101)
& leq(U_102,U_105)
& leq(n0,U_102) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_108,U_107] :
( ! [U_106,U_104,U_103] :
( a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) )
| ! [U_105] :
? [U_102,U_101] :
( a_select3(U_107,U_102,U_101) != a_select3(U_107,U_101,U_102)
& leq(U_101,U_105)
& leq(n0,U_101)
& leq(U_102,U_105)
& leq(n0,U_102) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
! [U_108,U_107] :
( ! [U_106,U_104,U_103] :
( a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) )
| ! [U_105] :
? [U_101] :
( a_select3(U_107,sK17(U_108,U_107,U_105),U_101) != a_select3(U_107,U_101,sK17(U_108,U_107,U_105))
& leq(U_101,U_105)
& leq(n0,U_101)
& leq(sK17(U_108,U_107,U_105),U_105)
& leq(n0,sK17(U_108,U_107,U_105)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_102,sK17(U_108,U_107,U_105))],[f_24_3]) ).
fof(f_24_5,plain,
! [U_108,U_107] :
( ! [U_106,U_104,U_103] :
( a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) )
| ! [U_105] :
( a_select3(U_107,sK17(U_108,U_107,U_105),sK18(U_108,U_107,U_105)) != a_select3(U_107,sK18(U_108,U_107,U_105),sK17(U_108,U_107,U_105))
& leq(sK18(U_108,U_107,U_105),U_105)
& leq(n0,sK18(U_108,U_107,U_105))
& leq(sK17(U_108,U_107,U_105),U_105)
& leq(n0,sK17(U_108,U_107,U_105)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_101,sK18(U_108,U_107,U_105))],[f_24_4]) ).
cnf(f_24_6,plain,
( leq(n0,sK17(U_108,U_107,U_105))
| a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(f_24_7,plain,
( leq(sK17(U_108,U_107,U_105),U_105)
| a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(f_24_8,plain,
( leq(n0,sK18(U_108,U_107,U_105))
| a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(f_24_9,plain,
( leq(sK18(U_108,U_107,U_105),U_105)
| a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(f_24_10,plain,
( a_select3(U_107,sK17(U_108,U_107,U_105),sK18(U_108,U_107,U_105)) != a_select3(U_107,sK18(U_108,U_107,U_105),sK17(U_108,U_107,U_105))
| a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_104,U_103) = a_select3(tptp_mmul(U_108,tptp_mmul(U_107,trans(U_108))),U_103,U_104)
| ~ leq(U_103,U_106)
| ~ leq(n0,U_103)
| ~ leq(U_104,U_106)
| ~ leq(n0,U_104) ),
inference(clausify,[status(thm)],[f_24_5]) ).
fof(f_25_1,plain,
! [A,B,C,D,E,F,N,M] :
( ! [I,J] :
( a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I)
| ~ leq(J,N)
| ~ leq(n0,J)
| ~ leq(I,N)
| ~ leq(n0,I) )
| ? [I,J] :
( a_select3(F,I,J) != a_select3(F,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
| ? [I,J] :
( a_select3(A,I,J) != a_select3(A,J,I)
& leq(J,N)
& leq(n0,J)
& leq(I,N)
& leq(n0,I) )
| ? [I,J] :
( a_select3(D,I,J) != a_select3(D,J,I)
& leq(J,M)
& leq(n0,J)
& leq(I,M)
& leq(n0,I) ) ),
inference(fof_nnf,[status(thm)],[matrix_symm_joseph_update]) ).
fof(f_25_2,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117] :
( ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) )
| ? [U_114,U_113] :
( a_select3(U_119,U_114,U_113) != a_select3(U_119,U_113,U_114)
& leq(U_113,U_118)
& leq(n0,U_113)
& leq(U_114,U_118)
& leq(n0,U_114) )
| ? [U_112,U_111] :
( a_select3(U_124,U_112,U_111) != a_select3(U_124,U_111,U_112)
& leq(U_111,U_118)
& leq(n0,U_111)
& leq(U_112,U_118)
& leq(n0,U_112) )
| ? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) )
| ? [U_114,U_113] :
( a_select3(U_119,U_114,U_113) != a_select3(U_119,U_113,U_114)
& leq(U_113,U_118)
& leq(n0,U_113)
& leq(U_114,U_118)
& leq(n0,U_114) )
| ? [U_112,U_111] :
( a_select3(U_124,U_112,U_111) != a_select3(U_124,U_111,U_112)
& leq(U_111,U_118)
& leq(n0,U_111)
& leq(U_112,U_118)
& leq(n0,U_112) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) )
| ? [U_114,U_113] :
( a_select3(U_119,U_114,U_113) != a_select3(U_119,U_113,U_114)
& leq(U_113,U_118)
& leq(n0,U_113)
& leq(U_114,U_118)
& leq(n0,U_114) )
| ? [U_111] :
( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_111) != a_select3(U_124,U_111,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(U_111,U_118)
& leq(n0,U_111)
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_112,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))],[f_25_3]) ).
fof(f_25_5,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) )
| ? [U_114,U_113] :
( a_select3(U_119,U_114,U_113) != a_select3(U_119,U_113,U_114)
& leq(U_113,U_118)
& leq(n0,U_113)
& leq(U_114,U_118)
& leq(n0,U_114) )
| ( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_111,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))],[f_25_4]) ).
fof(f_25_6,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) )
| ? [U_113] :
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_113) != a_select3(U_119,U_113,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(U_113,U_118)
& leq(n0,U_113)
& leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_114,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))],[f_25_5]) ).
fof(f_25_7,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_110,U_109] :
( a_select3(U_121,U_110,U_109) != a_select3(U_121,U_109,U_110)
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(U_110,U_117)
& leq(n0,U_110) )
| ( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_113,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))],[f_25_6]) ).
fof(f_25_8,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
? [U_109] :
( a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_109) != a_select3(U_121,U_109,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
& leq(U_109,U_117)
& leq(n0,U_109)
& leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
& leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) )
| ( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_110,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))],[f_25_7]) ).
fof(f_25_9,plain,
! [U_124,U_123,U_122,U_121,U_120,U_119,U_118] :
( ! [U_117] :
( a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
& leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
& leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
& leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
& leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) )
| ( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ( a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
& leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
& leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) )
| ! [U_116,U_115] :
( a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_109,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))],[f_25_8]) ).
cnf(f_25_10,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_11,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_12,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_13,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_14,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_15,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_16,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_17,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_18,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_19,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_20,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_21,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_22,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_23,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_24,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_25,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_26,plain,
( leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_27,plain,
( leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_28,plain,
( leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_29,plain,
( leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_30,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_31,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_32,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_33,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_34,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_35,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_36,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_37,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_38,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_39,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_40,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_41,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_42,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_43,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_44,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_45,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_46,plain,
( leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_47,plain,
( leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_48,plain,
( leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_49,plain,
( leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_50,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_51,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_52,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_53,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_54,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_55,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_56,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_57,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_58,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_59,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_60,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_61,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_62,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_63,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_64,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_65,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_66,plain,
( leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_67,plain,
( leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_68,plain,
( leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_69,plain,
( leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_70,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_71,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_72,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_73,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_74,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_75,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_76,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_77,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_78,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_79,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_80,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_81,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_82,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_83,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_84,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_85,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_86,plain,
( leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_87,plain,
( leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_88,plain,
( leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_89,plain,
( leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_90,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_91,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_92,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_93,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_94,plain,
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_95,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_96,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_97,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_98,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_99,plain,
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_100,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_101,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_102,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_103,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_104,plain,
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_105,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_106,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_107,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_108,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_109,plain,
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),U_117)
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_110,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_111,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_112,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_113,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_114,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_115,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_116,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_117,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_118,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_119,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_120,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_121,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_122,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_123,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_124,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_125,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_126,plain,
( leq(n0,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_127,plain,
( leq(sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_128,plain,
( leq(n0,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_129,plain,
( leq(sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_130,plain,
( leq(n0,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_131,plain,
( leq(sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_132,plain,
( leq(n0,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_133,plain,
( leq(sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),U_118)
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
cnf(f_25_134,plain,
( a_select3(U_119,sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_119,sK22(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK21(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_124,sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118)) != a_select3(U_124,sK20(U_124,U_123,U_122,U_121,U_120,U_119,U_118),sK19(U_124,U_123,U_122,U_121,U_120,U_119,U_118))
| a_select3(U_121,sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117)) != a_select3(U_121,sK24(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117),sK23(U_124,U_123,U_122,U_121,U_120,U_119,U_118,U_117))
| a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_116,U_115) = a_select3(tptp_madd(U_124,tptp_mmul(U_123,tptp_mmul(tptp_madd(tptp_mmul(U_122,tptp_mmul(U_121,trans(U_122))),tptp_mmul(U_120,tptp_mmul(U_119,trans(U_120)))),trans(U_123)))),U_115,U_116)
| ~ leq(U_115,U_118)
| ~ leq(n0,U_115)
| ~ leq(U_116,U_118)
| ~ leq(n0,U_116) ),
inference(clausify,[status(thm)],[f_25_9]) ).
fof(f_26_1,plain,
! [Body] : sum(n0,tptp_minus_1,Body) = n0,
inference(fof_nnf,[status(thm)],[sum_plus_base]) ).
fof(f_26_2,plain,
! [U_125] : sum(n0,tptp_minus_1,U_125) = n0,
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
sum(n0,tptp_minus_1,U_125) = n0,
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body),
inference(fof_nnf,[status(thm)],[sum_plus_base_float]) ).
fof(f_27_2,plain,
! [U_126] : tptp_float_0_0 = sum(n0,tptp_minus_1,U_126),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
tptp_float_0_0 = sum(n0,tptp_minus_1,U_126),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
succ(tptp_minus_1) = n0,
inference(fof_nnf,[status(thm)],[succ_tptp_minus_1]) ).
cnf(f_28_2,plain,
succ(tptp_minus_1) = n0,
inference(clausify,[status(thm)],[f_28_1]) ).
fof(f_29_1,plain,
! [X] : plus(X,n1) = succ(X),
inference(fof_nnf,[status(thm)],[succ_plus_1_r]) ).
fof(f_29_2,plain,
! [U_127] : plus(U_127,n1) = succ(U_127),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
plus(U_127,n1) = succ(U_127),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [X] : plus(n1,X) = succ(X),
inference(fof_nnf,[status(thm)],[succ_plus_1_l]) ).
fof(f_30_2,plain,
! [U_128] : plus(n1,U_128) = succ(U_128),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
plus(n1,U_128) = succ(U_128),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [X] : plus(X,n2) = succ(succ(X)),
inference(fof_nnf,[status(thm)],[succ_plus_2_r]) ).
fof(f_31_2,plain,
! [U_129] : plus(U_129,n2) = succ(succ(U_129)),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
plus(U_129,n2) = succ(succ(U_129)),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [X] : plus(n2,X) = succ(succ(X)),
inference(fof_nnf,[status(thm)],[succ_plus_2_l]) ).
fof(f_32_2,plain,
! [U_130] : plus(n2,U_130) = succ(succ(U_130)),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
plus(n2,U_130) = succ(succ(U_130)),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [X] : plus(X,n3) = succ(succ(succ(X))),
inference(fof_nnf,[status(thm)],[succ_plus_3_r]) ).
fof(f_33_2,plain,
! [U_131] : plus(U_131,n3) = succ(succ(succ(U_131))),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
plus(U_131,n3) = succ(succ(succ(U_131))),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [X] : plus(n3,X) = succ(succ(succ(X))),
inference(fof_nnf,[status(thm)],[succ_plus_3_l]) ).
fof(f_34_2,plain,
! [U_132] : plus(n3,U_132) = succ(succ(succ(U_132))),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
plus(n3,U_132) = succ(succ(succ(U_132))),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [X] : plus(X,n4) = succ(succ(succ(succ(X)))),
inference(fof_nnf,[status(thm)],[succ_plus_4_r]) ).
fof(f_35_2,plain,
! [U_133] : plus(U_133,n4) = succ(succ(succ(succ(U_133)))),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
plus(U_133,n4) = succ(succ(succ(succ(U_133)))),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [X] : plus(n4,X) = succ(succ(succ(succ(X)))),
inference(fof_nnf,[status(thm)],[succ_plus_4_l]) ).
fof(f_36_2,plain,
! [U_134] : plus(n4,U_134) = succ(succ(succ(succ(U_134)))),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
plus(n4,U_134) = succ(succ(succ(succ(U_134)))),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))),
inference(fof_nnf,[status(thm)],[succ_plus_5_r]) ).
fof(f_37_2,plain,
! [U_135] : plus(U_135,n5) = succ(succ(succ(succ(succ(U_135))))),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
plus(U_135,n5) = succ(succ(succ(succ(succ(U_135))))),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [X] : plus(n5,X) = succ(succ(succ(succ(succ(X))))),
inference(fof_nnf,[status(thm)],[succ_plus_5_l]) ).
fof(f_38_2,plain,
! [U_136] : plus(n5,U_136) = succ(succ(succ(succ(succ(U_136))))),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
plus(n5,U_136) = succ(succ(succ(succ(succ(U_136))))),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [X] : minus(X,n1) = pred(X),
inference(fof_nnf,[status(thm)],[pred_minus_1]) ).
fof(f_39_2,plain,
! [U_137] : minus(U_137,n1) = pred(U_137),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
minus(U_137,n1) = pred(U_137),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
! [X] : pred(succ(X)) = X,
inference(fof_nnf,[status(thm)],[pred_succ]) ).
fof(f_40_2,plain,
! [U_138] : pred(succ(U_138)) = U_138,
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
pred(succ(U_138)) = U_138,
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [X] : succ(pred(X)) = X,
inference(fof_nnf,[status(thm)],[succ_pred]) ).
fof(f_41_2,plain,
! [U_139] : succ(pred(U_139)) = U_139,
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
succ(pred(U_139)) = U_139,
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [X,Y] :
( ( leq(succ(X),succ(Y))
| ~ leq(X,Y) )
& ( leq(X,Y)
| ~ leq(succ(X),succ(Y)) ) ),
inference(fof_nnf,[status(thm)],[leq_succ_succ]) ).
fof(f_42_2,plain,
! [U_141,U_140] :
( ( leq(succ(U_141),succ(U_140))
| ~ leq(U_141,U_140) )
& ( leq(U_141,U_140)
| ~ leq(succ(U_141),succ(U_140)) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_145,U_143] :
( leq(succ(U_145),succ(U_143))
| ~ leq(U_145,U_143) )
& ! [U_144,U_142] :
( leq(U_144,U_142)
| ~ leq(succ(U_144),succ(U_142)) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( leq(U_144,U_142)
| ~ leq(succ(U_144),succ(U_142)) ),
inference(clausify,[status(thm)],[f_42_3]) ).
cnf(f_42_5,plain,
( leq(succ(U_145),succ(U_143))
| ~ leq(U_145,U_143) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [X,Y] :
( gt(Y,X)
| ~ leq(succ(X),Y) ),
inference(fof_nnf,[status(thm)],[leq_succ_gt]) ).
fof(f_43_2,plain,
! [U_147,U_146] :
( gt(U_146,U_147)
| ~ leq(succ(U_147),U_146) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( gt(U_146,U_147)
| ~ leq(succ(U_147),U_146) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [X,Y] :
( leq(n0,Y)
| ~ leq(minus(X,Y),X) ),
inference(fof_nnf,[status(thm)],[leq_minus]) ).
fof(f_44_2,plain,
! [U_149,U_148] :
( leq(n0,U_148)
| ~ leq(minus(U_149,U_148),U_149) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( leq(n0,U_148)
| ~ leq(minus(U_149,U_148),U_149) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL,
inference(fof_nnf,[status(thm)],[sel3_update_1]) ).
fof(f_45_2,plain,
! [U_153,U_152,U_151,U_150] : a_select3(tptp_update3(U_153,U_152,U_151,U_150),U_152,U_151) = U_150,
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
a_select3(tptp_update3(U_153,U_152,U_151,U_150),U_152,U_151) = U_150,
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [I,J,U,V,X,VAL,VAL2] :
( a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL
| a_select3(X,U,V) != VAL
| J != V
| I = U ),
inference(fof_nnf,[status(thm)],[sel3_update_2]) ).
fof(f_46_2,plain,
! [U_160,U_159,U_158,U_157,U_156,U_155,U_154] :
( a_select3(tptp_update3(U_156,U_160,U_159,U_154),U_158,U_157) = U_155
| a_select3(U_156,U_158,U_157) != U_155
| U_159 != U_157
| U_160 = U_158 ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_160,U_159,U_158,U_157,U_156,U_155] :
( ! [U_154] : a_select3(tptp_update3(U_156,U_160,U_159,U_154),U_158,U_157) = U_155
| a_select3(U_156,U_158,U_157) != U_155
| U_159 != U_157
| U_160 = U_158 ),
inference(miniscope,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( a_select3(tptp_update3(U_156,U_160,U_159,U_154),U_158,U_157) = U_155
| a_select3(U_156,U_158,U_157) != U_155
| U_159 != U_157
| U_160 = U_158 ),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [I,J,U,V,X,VAL] :
( a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL
| ~ leq(J,V)
| ~ leq(n0,J)
| ~ leq(I,U)
| ~ leq(n0,I)
| ? [I0,J0] :
( a_select3(X,I0,J0) != VAL
& leq(J0,V)
& leq(I0,U)
& leq(n0,J0)
& leq(n0,I0) ) ),
inference(fof_nnf,[status(thm)],[sel3_update_3]) ).
fof(f_47_2,plain,
! [U_168,U_167,U_166,U_165,U_164,U_163] :
( a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163
| ~ leq(U_167,U_165)
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ? [U_162,U_161] :
( a_select3(U_164,U_162,U_161) != U_163
& leq(U_161,U_165)
& leq(U_162,U_166)
& leq(n0,U_161)
& leq(n0,U_162) ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_168,U_167,U_166,U_165,U_164,U_163] :
( a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163
| ~ leq(U_167,U_165)
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ? [U_161] :
( a_select3(U_164,sK25(U_168,U_167,U_166,U_165,U_164,U_163),U_161) != U_163
& leq(U_161,U_165)
& leq(sK25(U_168,U_167,U_166,U_165,U_164,U_163),U_166)
& leq(n0,U_161)
& leq(n0,sK25(U_168,U_167,U_166,U_165,U_164,U_163)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_162,sK25(U_168,U_167,U_166,U_165,U_164,U_163))],[f_47_2]) ).
fof(f_47_4,plain,
! [U_168,U_167,U_166,U_165,U_164,U_163] :
( a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163
| ~ leq(U_167,U_165)
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ( a_select3(U_164,sK25(U_168,U_167,U_166,U_165,U_164,U_163),sK26(U_168,U_167,U_166,U_165,U_164,U_163)) != U_163
& leq(sK26(U_168,U_167,U_166,U_165,U_164,U_163),U_165)
& leq(sK25(U_168,U_167,U_166,U_165,U_164,U_163),U_166)
& leq(n0,sK26(U_168,U_167,U_166,U_165,U_164,U_163))
& leq(n0,sK25(U_168,U_167,U_166,U_165,U_164,U_163)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_161,sK26(U_168,U_167,U_166,U_165,U_164,U_163))],[f_47_3]) ).
cnf(f_47_5,plain,
( leq(n0,sK25(U_168,U_167,U_166,U_165,U_164,U_163))
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ~ leq(U_167,U_165)
| a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163 ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_6,plain,
( leq(n0,sK26(U_168,U_167,U_166,U_165,U_164,U_163))
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ~ leq(U_167,U_165)
| a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163 ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_7,plain,
( leq(sK25(U_168,U_167,U_166,U_165,U_164,U_163),U_166)
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ~ leq(U_167,U_165)
| a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163 ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_8,plain,
( leq(sK26(U_168,U_167,U_166,U_165,U_164,U_163),U_165)
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ~ leq(U_167,U_165)
| a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163 ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_9,plain,
( a_select3(U_164,sK25(U_168,U_167,U_166,U_165,U_164,U_163),sK26(U_168,U_167,U_166,U_165,U_164,U_163)) != U_163
| ~ leq(n0,U_167)
| ~ leq(U_168,U_166)
| ~ leq(n0,U_168)
| ~ leq(U_167,U_165)
| a_select3(tptp_update3(U_164,U_166,U_165,U_163),U_168,U_167) = U_163 ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
inference(fof_nnf,[status(thm)],[sel2_update_1]) ).
fof(f_48_2,plain,
! [U_171,U_170,U_169] : a_select2(tptp_update2(U_171,U_170,U_169),U_170) = U_169,
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
a_select2(tptp_update2(U_171,U_170,U_169),U_170) = U_169,
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [I,U,X,VAL,VAL2] :
( a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(fof_nnf,[status(thm)],[sel2_update_2]) ).
fof(f_49_2,plain,
! [U_176,U_175,U_174,U_173,U_172] :
( a_select2(tptp_update2(U_174,U_176,U_172),U_175) = U_173
| a_select2(U_174,U_175) != U_173
| U_176 = U_175 ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_176,U_175,U_174,U_173] :
( ! [U_172] : a_select2(tptp_update2(U_174,U_176,U_172),U_175) = U_173
| a_select2(U_174,U_175) != U_173
| U_176 = U_175 ),
inference(miniscope,[status(thm)],[f_49_2]) ).
cnf(f_49_4,plain,
( a_select2(tptp_update2(U_174,U_176,U_172),U_175) = U_173
| a_select2(U_174,U_175) != U_173
| U_176 = U_175 ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [I,U,X,VAL] :
( a_select2(tptp_update2(X,U,VAL),I) = VAL
| ~ leq(I,U)
| ~ leq(n0,I)
| ? [I0] :
( a_select2(X,I0) != VAL
& leq(I0,U)
& leq(n0,I0) ) ),
inference(fof_nnf,[status(thm)],[sel2_update_3]) ).
fof(f_50_2,plain,
! [U_181,U_180,U_179,U_178] :
( a_select2(tptp_update2(U_179,U_180,U_178),U_181) = U_178
| ~ leq(U_181,U_180)
| ~ leq(n0,U_181)
| ? [U_177] :
( a_select2(U_179,U_177) != U_178
& leq(U_177,U_180)
& leq(n0,U_177) ) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_181,U_180,U_179,U_178] :
( a_select2(tptp_update2(U_179,U_180,U_178),U_181) = U_178
| ~ leq(U_181,U_180)
| ~ leq(n0,U_181)
| ( a_select2(U_179,sK27(U_181,U_180,U_179,U_178)) != U_178
& leq(sK27(U_181,U_180,U_179,U_178),U_180)
& leq(n0,sK27(U_181,U_180,U_179,U_178)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_177,sK27(U_181,U_180,U_179,U_178))],[f_50_2]) ).
cnf(f_50_4,plain,
( leq(n0,sK27(U_181,U_180,U_179,U_178))
| ~ leq(n0,U_181)
| ~ leq(U_181,U_180)
| a_select2(tptp_update2(U_179,U_180,U_178),U_181) = U_178 ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_5,plain,
( leq(sK27(U_181,U_180,U_179,U_178),U_180)
| ~ leq(n0,U_181)
| ~ leq(U_181,U_180)
| a_select2(tptp_update2(U_179,U_180,U_178),U_181) = U_178 ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_6,plain,
( a_select2(U_179,sK27(U_181,U_180,U_179,U_178)) != U_178
| ~ leq(n0,U_181)
| ~ leq(U_181,U_180)
| a_select2(tptp_update2(U_179,U_180,U_178),U_181) = U_178 ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
true,
inference(fof_nnf,[status(thm)],[ttrue]) ).
cnf(f_51_2,plain,
true,
inference(clausify,[status(thm)],[f_51_1]) ).
fof(f_52_1,plain,
def != use,
inference(fof_nnf,[status(thm)],[defuse]) ).
cnf(f_52_2,plain,
def != use,
inference(clausify,[status(thm)],[f_52_1]) ).
fof(f_53_1,negated_conjecture,
( ~ ( leq(pv67,minus(n5,n1))
& leq(n0,pv67) )
& leq(pv67,minus(n5,n1))
& leq(n0,pv67) ),
inference(negate,[status(cth)],[cl5_nebula_array_0025]) ).
fof(f_53_2,negated_conjecture,
( ( ~ leq(pv67,minus(n5,n1))
| ~ leq(n0,pv67) )
& leq(pv67,minus(n5,n1))
& leq(n0,pv67) ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ( ~ leq(pv67,minus(n5,n1))
| ~ leq(n0,pv67) )
& leq(pv67,minus(n5,n1))
& leq(n0,pv67) ),
inference(definitional_conversion,[status(esa)],[f_53_2]) ).
cnf(f_53_4,negated_conjecture,
leq(n0,pv67),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_5,negated_conjecture,
leq(pv67,minus(n5,n1)),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_6,negated_conjecture,
( ~ leq(pv67,minus(n5,n1))
| ~ leq(n0,pv67) ),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_1,plain,
gt(n5,n4),
inference(fof_nnf,[status(thm)],[gt_5_4]) ).
cnf(f_54_2,plain,
gt(n5,n4),
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
gt(n4,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_4_tptp_minus_1]) ).
cnf(f_55_2,plain,
gt(n4,tptp_minus_1),
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
gt(n5,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_5_tptp_minus_1]) ).
cnf(f_56_2,plain,
gt(n5,tptp_minus_1),
inference(clausify,[status(thm)],[f_56_1]) ).
fof(f_57_1,plain,
gt(n0,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_0_tptp_minus_1]) ).
cnf(f_57_2,plain,
gt(n0,tptp_minus_1),
inference(clausify,[status(thm)],[f_57_1]) ).
fof(f_58_1,plain,
gt(n1,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_1_tptp_minus_1]) ).
cnf(f_58_2,plain,
gt(n1,tptp_minus_1),
inference(clausify,[status(thm)],[f_58_1]) ).
fof(f_59_1,plain,
gt(n2,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_2_tptp_minus_1]) ).
cnf(f_59_2,plain,
gt(n2,tptp_minus_1),
inference(clausify,[status(thm)],[f_59_1]) ).
fof(f_60_1,plain,
gt(n3,tptp_minus_1),
inference(fof_nnf,[status(thm)],[gt_3_tptp_minus_1]) ).
cnf(f_60_2,plain,
gt(n3,tptp_minus_1),
inference(clausify,[status(thm)],[f_60_1]) ).
fof(f_61_1,plain,
gt(n4,n0),
inference(fof_nnf,[status(thm)],[gt_4_0]) ).
cnf(f_61_2,plain,
gt(n4,n0),
inference(clausify,[status(thm)],[f_61_1]) ).
fof(f_62_1,plain,
gt(n5,n0),
inference(fof_nnf,[status(thm)],[gt_5_0]) ).
cnf(f_62_2,plain,
gt(n5,n0),
inference(clausify,[status(thm)],[f_62_1]) ).
fof(f_63_1,plain,
gt(n1,n0),
inference(fof_nnf,[status(thm)],[gt_1_0]) ).
cnf(f_63_2,plain,
gt(n1,n0),
inference(clausify,[status(thm)],[f_63_1]) ).
fof(f_64_1,plain,
gt(n2,n0),
inference(fof_nnf,[status(thm)],[gt_2_0]) ).
cnf(f_64_2,plain,
gt(n2,n0),
inference(clausify,[status(thm)],[f_64_1]) ).
fof(f_65_1,plain,
gt(n3,n0),
inference(fof_nnf,[status(thm)],[gt_3_0]) ).
cnf(f_65_2,plain,
gt(n3,n0),
inference(clausify,[status(thm)],[f_65_1]) ).
fof(f_66_1,plain,
gt(n4,n1),
inference(fof_nnf,[status(thm)],[gt_4_1]) ).
cnf(f_66_2,plain,
gt(n4,n1),
inference(clausify,[status(thm)],[f_66_1]) ).
fof(f_67_1,plain,
gt(n5,n1),
inference(fof_nnf,[status(thm)],[gt_5_1]) ).
cnf(f_67_2,plain,
gt(n5,n1),
inference(clausify,[status(thm)],[f_67_1]) ).
fof(f_68_1,plain,
gt(n2,n1),
inference(fof_nnf,[status(thm)],[gt_2_1]) ).
cnf(f_68_2,plain,
gt(n2,n1),
inference(clausify,[status(thm)],[f_68_1]) ).
fof(f_69_1,plain,
gt(n3,n1),
inference(fof_nnf,[status(thm)],[gt_3_1]) ).
cnf(f_69_2,plain,
gt(n3,n1),
inference(clausify,[status(thm)],[f_69_1]) ).
fof(f_70_1,plain,
gt(n4,n2),
inference(fof_nnf,[status(thm)],[gt_4_2]) ).
cnf(f_70_2,plain,
gt(n4,n2),
inference(clausify,[status(thm)],[f_70_1]) ).
fof(f_71_1,plain,
gt(n5,n2),
inference(fof_nnf,[status(thm)],[gt_5_2]) ).
cnf(f_71_2,plain,
gt(n5,n2),
inference(clausify,[status(thm)],[f_71_1]) ).
fof(f_72_1,plain,
gt(n3,n2),
inference(fof_nnf,[status(thm)],[gt_3_2]) ).
cnf(f_72_2,plain,
gt(n3,n2),
inference(clausify,[status(thm)],[f_72_1]) ).
fof(f_73_1,plain,
gt(n4,n3),
inference(fof_nnf,[status(thm)],[gt_4_3]) ).
cnf(f_73_2,plain,
gt(n4,n3),
inference(clausify,[status(thm)],[f_73_1]) ).
fof(f_74_1,plain,
gt(n5,n3),
inference(fof_nnf,[status(thm)],[gt_5_3]) ).
cnf(f_74_2,plain,
gt(n5,n3),
inference(clausify,[status(thm)],[f_74_1]) ).
fof(f_75_1,plain,
! [X] :
( X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n4)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_4]) ).
fof(f_75_2,plain,
! [U_182] :
( U_182 = n4
| U_182 = n3
| U_182 = n2
| U_182 = n1
| U_182 = n0
| ~ leq(U_182,n4)
| ~ leq(n0,U_182) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
cnf(f_75_3,plain,
( U_182 = n4
| U_182 = n3
| U_182 = n2
| U_182 = n1
| U_182 = n0
| ~ leq(U_182,n4)
| ~ leq(n0,U_182) ),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_76_1,plain,
! [X] :
( X = n5
| X = n4
| X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n5)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_5]) ).
fof(f_76_2,plain,
! [U_183] :
( U_183 = n5
| U_183 = n4
| U_183 = n3
| U_183 = n2
| U_183 = n1
| U_183 = n0
| ~ leq(U_183,n5)
| ~ leq(n0,U_183) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
cnf(f_76_3,plain,
( U_183 = n5
| U_183 = n4
| U_183 = n3
| U_183 = n2
| U_183 = n1
| U_183 = n0
| ~ leq(U_183,n5)
| ~ leq(n0,U_183) ),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
! [X] :
( X = n0
| ~ leq(X,n0)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_0]) ).
fof(f_77_2,plain,
! [U_184] :
( U_184 = n0
| ~ leq(U_184,n0)
| ~ leq(n0,U_184) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
cnf(f_77_3,plain,
( U_184 = n0
| ~ leq(U_184,n0)
| ~ leq(n0,U_184) ),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
! [X] :
( X = n1
| X = n0
| ~ leq(X,n1)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_1]) ).
fof(f_78_2,plain,
! [U_185] :
( U_185 = n1
| U_185 = n0
| ~ leq(U_185,n1)
| ~ leq(n0,U_185) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( U_185 = n1
| U_185 = n0
| ~ leq(U_185,n1)
| ~ leq(n0,U_185) ),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
! [X] :
( X = n2
| X = n1
| X = n0
| ~ leq(X,n2)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_2]) ).
fof(f_79_2,plain,
! [U_186] :
( U_186 = n2
| U_186 = n1
| U_186 = n0
| ~ leq(U_186,n2)
| ~ leq(n0,U_186) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( U_186 = n2
| U_186 = n1
| U_186 = n0
| ~ leq(U_186,n2)
| ~ leq(n0,U_186) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [X] :
( X = n3
| X = n2
| X = n1
| X = n0
| ~ leq(X,n3)
| ~ leq(n0,X) ),
inference(fof_nnf,[status(thm)],[finite_domain_3]) ).
fof(f_80_2,plain,
! [U_187] :
( U_187 = n3
| U_187 = n2
| U_187 = n1
| U_187 = n0
| ~ leq(U_187,n3)
| ~ leq(n0,U_187) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
( U_187 = n3
| U_187 = n2
| U_187 = n1
| U_187 = n0
| ~ leq(U_187,n3)
| ~ leq(n0,U_187) ),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(fof_nnf,[status(thm)],[successor_4]) ).
cnf(f_81_2,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(clausify,[status(thm)],[f_81_1]) ).
fof(f_82_1,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(fof_nnf,[status(thm)],[successor_5]) ).
cnf(f_82_2,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(clausify,[status(thm)],[f_82_1]) ).
fof(f_83_1,plain,
succ(n0) = n1,
inference(fof_nnf,[status(thm)],[successor_1]) ).
cnf(f_83_2,plain,
succ(n0) = n1,
inference(clausify,[status(thm)],[f_83_1]) ).
fof(f_84_1,plain,
succ(succ(n0)) = n2,
inference(fof_nnf,[status(thm)],[successor_2]) ).
cnf(f_84_2,plain,
succ(succ(n0)) = n2,
inference(clausify,[status(thm)],[f_84_1]) ).
fof(f_85_1,plain,
succ(succ(succ(n0))) = n3,
inference(fof_nnf,[status(thm)],[successor_3]) ).
cnf(f_85_2,plain,
succ(succ(succ(n0))) = n3,
inference(clausify,[status(thm)],[f_85_1]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( pred(Eq_x_0) = pred(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( succ(Eq_x_0) = succ(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( uniform_int_rnd(Eq_x_0,Eq_x_1) = uniform_int_rnd(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( dim(Eq_x_0,Eq_x_1) = dim(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( tptp_const_array1(Eq_x_0,Eq_x_1) = tptp_const_array1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( a_select2(Eq_x_0,Eq_x_1) = a_select2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( tptp_const_array2(Eq_x_0,Eq_x_1,Eq_x_2) = tptp_const_array2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( a_select3(Eq_x_0,Eq_x_1,Eq_x_2) = a_select3(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( trans(Eq_x_0) = trans(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( inv(Eq_x_0) = inv(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( tptp_update3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = tptp_update3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( tptp_madd(Eq_x_0,Eq_x_1) = tptp_madd(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( tptp_msub(Eq_x_0,Eq_x_1) = tptp_msub(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( tptp_mmul(Eq_x_0,Eq_x_1) = tptp_mmul(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sum(Eq_x_0,Eq_x_1,Eq_x_2) = sum(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( plus(Eq_x_0,Eq_x_1) = plus(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( minus(Eq_x_0,Eq_x_1) = minus(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( tptp_update2(Eq_x_0,Eq_x_1,Eq_x_2) = tptp_update2(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK1(Eq_x_0,Eq_x_1) = sK1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK3(Eq_x_0,Eq_x_1) = sK3(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK7(Eq_x_0,Eq_x_1,Eq_x_2) = sK7(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK8(Eq_x_0,Eq_x_1,Eq_x_2) = sK8(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( sK9(Eq_x_0,Eq_x_1,Eq_x_2) = sK9(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK10(Eq_x_0,Eq_x_1,Eq_x_2) = sK10(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( sK11(Eq_x_0,Eq_x_1,Eq_x_2) = sK11(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( sK12(Eq_x_0,Eq_x_1,Eq_x_2) = sK12(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( sK13(Eq_x_0,Eq_x_1,Eq_x_2) = sK13(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( sK14(Eq_x_0,Eq_x_1,Eq_x_2) = sK14(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( sK15(Eq_x_0,Eq_x_1,Eq_x_2) = sK15(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( sK16(Eq_x_0,Eq_x_1,Eq_x_2) = sK16(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_38,axiom,
( sK17(Eq_x_0,Eq_x_1,Eq_x_2) = sK17(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_39,axiom,
( sK18(Eq_x_0,Eq_x_1,Eq_x_2) = sK18(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_40,axiom,
( sK19(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK19(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_41,axiom,
( sK20(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK20(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_42,axiom,
( sK21(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK21(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_43,axiom,
( sK22(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6) = sK22(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_44,axiom,
( sK23(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK23(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_45,axiom,
( sK24(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6,Eq_x_7) = sK24(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6,Eq_y_7)
| Eq_x_7 != Eq_y_7
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_46,axiom,
( sK25(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK25(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_47,axiom,
( sK26(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5) = sK26(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_48,axiom,
( sK27(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK27(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_49,axiom,
( gt(Eq_y_0,Eq_y_1)
| ~ gt(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( leq(Eq_y_0,Eq_y_1)
| ~ leq(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( lt(Eq_y_0,Eq_y_1)
| ~ lt(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( geq(Eq_y_0,Eq_y_1)
| ~ geq(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV084+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 03:02:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.55 % SZS status Theorem for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------