TSTP Solution File: NUM923+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:10:11 EDT 2022
% Result : Unknown 4.79s 4.98s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 09:17:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.04/2.24 ----- Otter 3.3f, August 2004 -----
% 2.04/2.24 The process was started by sandbox2 on n007.cluster.edu,
% 2.04/2.24 Wed Jul 27 09:17:46 2022
% 2.04/2.24 The command was "./otter". The process ID is 14597.
% 2.04/2.24
% 2.04/2.24 set(prolog_style_variables).
% 2.04/2.24 set(auto).
% 2.04/2.24 dependent: set(auto1).
% 2.04/2.24 dependent: set(process_input).
% 2.04/2.24 dependent: clear(print_kept).
% 2.04/2.24 dependent: clear(print_new_demod).
% 2.04/2.24 dependent: clear(print_back_demod).
% 2.04/2.24 dependent: clear(print_back_sub).
% 2.04/2.24 dependent: set(control_memory).
% 2.04/2.24 dependent: assign(max_mem, 12000).
% 2.04/2.24 dependent: assign(pick_given_ratio, 4).
% 2.04/2.24 dependent: assign(stats_level, 1).
% 2.04/2.24 dependent: assign(max_seconds, 10800).
% 2.04/2.24 clear(print_given).
% 2.04/2.24
% 2.04/2.24 formula_list(usable).
% 2.04/2.24 all A (A=A).
% 2.04/2.24 all B_1_1 B_2_1 is_bool(ord_less_e_q_int(B_1_1,B_2_1)).
% 2.04/2.24 all B_1_1 B_2_1 B_3_1 is_bool(produc262399358t_bool(B_1_1,B_2_1,B_3_1)).
% 2.04/2.24 all B_1_1 is_bool(twoSqu526106917sum2sq(B_1_1)).
% 2.04/2.24 all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 2.04/2.24 all A_28 R B_25 M_1 C_21 D_6 N (plus_plus_int(times_times_int(minus_minus_int(A_28,times_times_int(R,B_25)),M_1),times_times_int(minus_minus_int(C_21,times_times_int(R,D_6)),N))=minus_minus_int(plus_plus_int(times_times_int(A_28,M_1),times_times_int(C_21,N)),times_times_int(R,plus_plus_int(times_times_int(B_25,M_1),times_times_int(D_6,N))))).
% 2.04/2.24 all X_6 Y_6 A_29 B_26 (minus_minus_int(times_times_int(X_6,Y_6),times_times_int(A_29,B_26))=plus_plus_int(times_times_int(X_6,minus_minus_int(Y_6,B_26)),times_times_int(minus_minus_int(X_6,A_29),B_26))).
% 2.04/2.24 all Aa E C Ba D_1 (plus_plus_int(times_times_int(Aa,E),C)=plus_plus_int(times_times_int(Ba,E),D_1)<->C=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1)).
% 2.04/2.24 all Aa E C Ba D_1 (plus_plus_int(times_times_int(Aa,E),C)=plus_plus_int(times_times_int(Ba,E),D_1)<->plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C)=D_1).
% 2.04/2.24 all X_4 (hBOOL(twoSqu526106917sum2sq(X_4))<-> (exists A_5 B_5 (twoSqu536811803sum2sq(product_Pair_int_int(A_5,B_5))=X_4))).
% 2.04/2.24 all A_28 B_25 C_21 (minus_minus_int(A_28,B_25)=C_21->A_28=plus_plus_int(C_21,B_25)).
% 2.04/2.24 all W Z1 Z2 (times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 2.04/2.24 all Z1 Z2 W (times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 2.04/2.24 all W Z1 Z2 (times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))).
% 2.04/2.24 all Z1 Z2 W (times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W))).
% 2.04/2.24 all A_27 B_24 (plus_plus_int(minus_minus_int(A_27,B_24),B_24)=A_27).
% 2.04/2.24 all A_26 B_23 C_20 (times_times_int(times_times_int(A_26,B_23),C_20)=times_times_int(A_26,times_times_int(B_23,C_20))).
% 2.04/2.24 all B_22 A_25 C_19 (plus_plus_int(B_22,A_25)=plus_plus_int(C_19,A_25)->B_22=C_19).
% 2.04/2.24 all A_24 B_21 C_18 (plus_plus_int(A_24,B_21)=plus_plus_int(A_24,C_18)->B_21=C_18).
% 2.04/2.24 all A_23 B_20 C_17 (plus_plus_int(A_23,B_20)=plus_plus_int(A_23,C_17)->B_20=C_17).
% 2.04/2.24 all Ba Aa C (plus_plus_int(Ba,Aa)=plus_plus_int(C,Aa)<->Ba=C).
% 2.04/2.24 all Aa Ba C (plus_plus_int(Aa,Ba)=plus_plus_int(Aa,C)<->Ba=C).
% 2.04/2.24 all A_22 B_19 C_16 (plus_plus_int(plus_plus_int(A_22,B_19),C_16)=plus_plus_int(A_22,plus_plus_int(B_19,C_16))).
% 2.04/2.24 all Aa Ba C D_1 (minus_minus_int(Aa,Ba)=minus_minus_int(C,D_1)-> (Aa=Ba<->C=D_1)).
% 2.04/2.24 all Z1 Z2 Z3 (times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3))).
% 2.04/2.24 all Z W (times_times_int(Z,W)=times_times_int(W,Z)).
% 2.04/2.24 all Z1 Z2 Z3 (plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3))).
% 2.04/2.24 all X_5 Y_5 Z (plus_plus_int(X_5,plus_plus_int(Y_5,Z))=plus_plus_int(Y_5,plus_plus_int(X_5,Z))).
% 2.04/2.24 all Z W (plus_plus_int(Z,W)=plus_plus_int(W,Z)).
% 2.04/2.24 all A_21 E_1 B_18 C_15 (plus_plus_int(times_times_int(A_21,E_1),plus_plus_int(times_times_int(B_18,E_1),C_15))=plus_plus_int(times_times_int(plus_plus_int(A_21,B_18),E_1),C_15)).
% 2.04/2.24 all A_20 B_17 C_14 (times_times_int(plus_plus_int(A_20,B_17),C_14)=plus_plus_int(times_times_int(A_20,C_14),times_times_int(B_17,C_14))).
% 2.04/2.24 all A_19 C_13 B_16 D_5 (minus_minus_int(plus_plus_int(A_19,C_13),plus_plus_int(B_16,D_5))=plus_plus_int(minus_minus_int(A_19,B_16),minus_minus_int(C_13,D_5))).
% 2.04/2.24 all A_18 B_15 (minus_minus_int(plus_plus_int(A_18,B_15),B_15)=A_18).
% 2.04/2.24 all W_1 Y_4 X_4 Z_2 (plus_plus_int(times_times_int(W_1,Y_4),times_times_int(X_4,Z_2))=plus_plus_int(times_times_int(W_1,Z_2),times_times_int(X_4,Y_4))<->W_1=X_4|Y_4=Z_2).
% 2.04/2.24 all A_17 M B_14 (plus_plus_int(times_times_int(A_17,M),times_times_int(B_14,M))=times_times_int(plus_plus_int(A_17,B_14),M)).
% 2.04/2.24 all A_16 B_13 C_12 (times_times_int(plus_plus_int(A_16,B_13),C_12)=plus_plus_int(times_times_int(A_16,C_12),times_times_int(B_13,C_12))).
% 2.04/2.24 all C D_1 Aa Ba (Aa!=Ba&C!=D_1<->plus_plus_int(times_times_int(Aa,C),times_times_int(Ba,D_1))!=plus_plus_int(times_times_int(Aa,D_1),times_times_int(Ba,C))).
% 2.04/2.24 all X_3 Y_3 Z_1 (times_times_int(X_3,plus_plus_int(Y_3,Z_1))=plus_plus_int(times_times_int(X_3,Y_3),times_times_int(X_3,Z_1))).
% 2.04/2.24 all A_15 B_12 A_14 B_11 (product_Pair_int_int(A_15,B_12)=product_Pair_int_int(A_14,B_11)-> -(A_15=A_14->B_12!=B_11)).
% 2.04/2.24 all Aa Ba A_13 B_10 (product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_13,B_10)<->Aa=A_13&Ba=B_10).
% 2.04/2.24 all A_12 B_9 (times_times_int(A_12,B_9)=times_times_int(B_9,A_12)).
% 2.04/2.24 all Lx_6 Rx_6 Ry_4 (times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4))).
% 2.04/2.24 all Lx_5 Rx_5 Ry_3 (times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3)).
% 2.04/2.24 all Lx_4 Ly_4 Rx_4 (times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4))).
% 2.04/2.24 all Lx_3 Ly_3 Rx_3 (times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3)).
% 2.04/2.24 all Lx_2 Ly_2 Rx_2 Ry_2 (times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2)))).
% 2.04/2.24 all Lx_1 Ly_1 Rx_1 Ry_1 (times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1))).
% 2.04/2.24 all Lx Ly Rx Ry (times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry))).
% 2.04/2.24 all A_11 C_11 (plus_plus_int(A_11,C_11)=plus_plus_int(C_11,A_11)).
% 2.04/2.24 all A_10 C_10 D_4 (plus_plus_int(A_10,plus_plus_int(C_10,D_4))=plus_plus_int(C_10,plus_plus_int(A_10,D_4))).
% 2.04/2.24 all A_9 C_9 D_3 (plus_plus_int(A_9,plus_plus_int(C_9,D_3))=plus_plus_int(plus_plus_int(A_9,C_9),D_3)).
% 2.04/2.24 all A_8 B_8 C_8 (plus_plus_int(plus_plus_int(A_8,B_8),C_8)=plus_plus_int(A_8,plus_plus_int(B_8,C_8))).
% 2.04/2.24 all A_7 B_7 C_7 (plus_plus_int(plus_plus_int(A_7,B_7),C_7)=plus_plus_int(plus_plus_int(A_7,C_7),B_7)).
% 2.04/2.24 all A_6 B_6 C_6 D_2 (plus_plus_int(plus_plus_int(A_6,B_6),plus_plus_int(C_6,D_2))=plus_plus_int(plus_plus_int(A_6,C_6),plus_plus_int(B_6,D_2))).
% 2.04/2.24 all P_1 ((all X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (all A_5 B_5 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5))))).
% 2.04/2.24 all P_1 ((exists X1 hBOOL(hAPP_P603027463t_bool(P_1,X1)))<-> (exists A_5 B_5 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5))))).
% 2.04/2.24 all Y_2 (-(all A_5 B_5 (Y_2!=product_Pair_int_int(A_5,B_5)))).
% 2.04/2.24 all P (-(all X_2 Y_1 (P!=product_Pair_int_int(X_2,Y_1)))).
% 2.04/2.24 all F Aa Ba (hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))->hBOOL(produc262399358t_bool(F,Aa,Ba))).
% 2.04/2.24 all F Aa Ba (hBOOL(produc262399358t_bool(F,Aa,Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 2.04/2.24 all F Aa Ba (hBOOL(produc262399358t_bool(F,Aa,Ba))->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 2.04/2.24 all F Aa Ba (hBOOL(produc262399358t_bool(F,Aa,Ba))<->hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))).
% 2.04/2.24 all Aa E C Ba D_1 (hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))<->hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C),D_1))).
% 2.04/2.24 all Aa E C Ba D_1 (hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))<->hBOOL(ord_less_e_q_int(C,plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1)))).
% 2.04/2.24 all K I J (hBOOL(ord_less_e_q_int(I,J))->hBOOL(ord_less_e_q_int(plus_plus_int(K,I),plus_plus_int(K,J)))).
% 2.04/2.24 all Aa Ba C D_1 (minus_minus_int(Aa,Ba)=minus_minus_int(C,D_1)-> (hBOOL(ord_less_e_q_int(Aa,Ba))<->hBOOL(ord_less_e_q_int(C,D_1)))).
% 2.04/2.24 all C_5 A_4 B_4 (hBOOL(ord_less_e_q_int(plus_plus_int(C_5,A_4),plus_plus_int(C_5,B_4)))->hBOOL(ord_less_e_q_int(A_4,B_4))).
% 2.04/2.24 all A_3 C_4 B_3 (hBOOL(ord_less_e_q_int(plus_plus_int(A_3,C_4),plus_plus_int(B_3,C_4)))->hBOOL(ord_less_e_q_int(A_3,B_3))).
% 2.04/2.24 all C_3 D A_2 B_2 (hBOOL(ord_less_e_q_int(A_2,B_2))-> (hBOOL(ord_less_e_q_int(C_3,D))->hBOOL(ord_less_e_q_int(plus_plus_int(A_2,C_3),plus_plus_int(B_2,D))))).
% 2.04/2.24 all C_2 A_1 B_1 (hBOOL(ord_less_e_q_int(A_1,B_1))->hBOOL(ord_less_e_q_int(plus_plus_int(C_2,A_1),plus_plus_int(C_2,B_1)))).
% 2.04/2.24 all C_1 A B (hBOOL(ord_less_e_q_int(A,B))->hBOOL(ord_less_e_q_int(plus_plus_int(A,C_1),plus_plus_int(B,C_1)))).
% 2.04/2.24 all C Aa Ba (hBOOL(ord_less_e_q_int(plus_plus_int(C,Aa),plus_plus_int(C,Ba)))<->hBOOL(ord_less_e_q_int(Aa,Ba))).
% 2.04/2.24 all Aa C Ba (hBOOL(ord_less_e_q_int(plus_plus_int(Aa,C),plus_plus_int(Ba,C)))<->hBOOL(ord_less_e_q_int(Aa,Ba))).
% 2.04/2.24 all X_1 hBOOL(ord_less_e_q_int(X_1,X_1)).
% 2.04/2.24 all X Y (-hBOOL(ord_less_e_q_int(X,Y))->hBOOL(ord_less_e_q_int(Y,X))).
% 2.04/2.24 all W hBOOL(ord_less_e_q_int(W,W)).
% 2.04/2.24 all Z W (hBOOL(ord_less_e_q_int(Z,W))|hBOOL(ord_less_e_q_int(W,Z))).
% 2.04/2.24 all K I J (hBOOL(ord_less_e_q_int(I,J))-> (hBOOL(ord_less_e_q_int(J,K))->hBOOL(ord_less_e_q_int(I,K)))).
% 2.04/2.24 all Z W (hBOOL(ord_less_e_q_int(Z,W))-> (hBOOL(ord_less_e_q_int(W,Z))->Z=W)).
% 2.04/2.24 times_times_int(twoSqu536811803sum2sq(product_Pair_int_int(a,b)),twoSqu536811803sum2sq(product_Pair_int_int(p,q)))!=twoSqu536811803sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p)))).
% 2.04/2.24 end_of_list.
% 2.04/2.24
% 2.04/2.24 -------> usable clausifies to:
% 2.04/2.24
% 2.04/2.24 list(usable).
% 2.04/2.24 0 [] A=A.
% 2.04/2.24 0 [] is_bool(ord_less_e_q_int(B_1_1,B_2_1)).
% 2.04/2.24 0 [] is_bool(produc262399358t_bool(B_1_1,B_2_1,B_3_1)).
% 2.04/2.24 0 [] is_bool(twoSqu526106917sum2sq(B_1_1)).
% 2.04/2.24 0 [] is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 2.04/2.24 0 [] plus_plus_int(times_times_int(minus_minus_int(A_28,times_times_int(R,B_25)),M_1),times_times_int(minus_minus_int(C_21,times_times_int(R,D_6)),N))=minus_minus_int(plus_plus_int(times_times_int(A_28,M_1),times_times_int(C_21,N)),times_times_int(R,plus_plus_int(times_times_int(B_25,M_1),times_times_int(D_6,N)))).
% 2.04/2.24 0 [] minus_minus_int(times_times_int(X_6,Y_6),times_times_int(A_29,B_26))=plus_plus_int(times_times_int(X_6,minus_minus_int(Y_6,B_26)),times_times_int(minus_minus_int(X_6,A_29),B_26)).
% 2.04/2.24 0 [] plus_plus_int(times_times_int(Aa,E),C)!=plus_plus_int(times_times_int(Ba,E),D_1)|C=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1).
% 2.04/2.24 0 [] plus_plus_int(times_times_int(Aa,E),C)=plus_plus_int(times_times_int(Ba,E),D_1)|C!=plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1).
% 2.04/2.24 0 [] plus_plus_int(times_times_int(Aa,E),C)!=plus_plus_int(times_times_int(Ba,E),D_1)|plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C)=D_1.
% 2.04/2.24 0 [] plus_plus_int(times_times_int(Aa,E),C)=plus_plus_int(times_times_int(Ba,E),D_1)|plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C)!=D_1.
% 2.04/2.24 0 [] -hBOOL(twoSqu526106917sum2sq(X_4))|twoSqu536811803sum2sq(product_Pair_int_int($f2(X_4),$f1(X_4)))=X_4.
% 2.04/2.24 0 [] hBOOL(twoSqu526106917sum2sq(X_4))|twoSqu536811803sum2sq(product_Pair_int_int(A_5,B_5))!=X_4.
% 2.04/2.24 0 [] minus_minus_int(A_28,B_25)!=C_21|A_28=plus_plus_int(C_21,B_25).
% 2.04/2.24 0 [] times_times_int(W,minus_minus_int(Z1,Z2))=minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 2.04/2.24 0 [] times_times_int(minus_minus_int(Z1,Z2),W)=minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 2.04/2.24 0 [] times_times_int(W,plus_plus_int(Z1,Z2))=plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2)).
% 2.04/2.24 0 [] times_times_int(plus_plus_int(Z1,Z2),W)=plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)).
% 2.04/2.24 0 [] plus_plus_int(minus_minus_int(A_27,B_24),B_24)=A_27.
% 2.04/2.24 0 [] times_times_int(times_times_int(A_26,B_23),C_20)=times_times_int(A_26,times_times_int(B_23,C_20)).
% 2.04/2.24 0 [] plus_plus_int(B_22,A_25)!=plus_plus_int(C_19,A_25)|B_22=C_19.
% 2.04/2.24 0 [] plus_plus_int(A_24,B_21)!=plus_plus_int(A_24,C_18)|B_21=C_18.
% 2.04/2.24 0 [] plus_plus_int(A_23,B_20)!=plus_plus_int(A_23,C_17)|B_20=C_17.
% 2.04/2.24 0 [] plus_plus_int(Ba,Aa)!=plus_plus_int(C,Aa)|Ba=C.
% 2.04/2.24 0 [] plus_plus_int(Ba,Aa)=plus_plus_int(C,Aa)|Ba!=C.
% 2.04/2.24 0 [] plus_plus_int(Aa,Ba)!=plus_plus_int(Aa,C)|Ba=C.
% 2.04/2.24 0 [] plus_plus_int(Aa,Ba)=plus_plus_int(Aa,C)|Ba!=C.
% 2.04/2.24 0 [] plus_plus_int(plus_plus_int(A_22,B_19),C_16)=plus_plus_int(A_22,plus_plus_int(B_19,C_16)).
% 2.04/2.24 0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C,D_1)|Aa!=Ba|C=D_1.
% 2.04/2.24 0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C,D_1)|Aa=Ba|C!=D_1.
% 2.04/2.24 0 [] times_times_int(times_times_int(Z1,Z2),Z3)=times_times_int(Z1,times_times_int(Z2,Z3)).
% 2.04/2.24 0 [] times_times_int(Z,W)=times_times_int(W,Z).
% 2.04/2.24 0 [] plus_plus_int(plus_plus_int(Z1,Z2),Z3)=plus_plus_int(Z1,plus_plus_int(Z2,Z3)).
% 2.04/2.24 0 [] plus_plus_int(X_5,plus_plus_int(Y_5,Z))=plus_plus_int(Y_5,plus_plus_int(X_5,Z)).
% 2.04/2.24 0 [] plus_plus_int(Z,W)=plus_plus_int(W,Z).
% 2.04/2.24 0 [] plus_plus_int(times_times_int(A_21,E_1),plus_plus_int(times_times_int(B_18,E_1),C_15))=plus_plus_int(times_times_int(plus_plus_int(A_21,B_18),E_1),C_15).
% 2.04/2.24 0 [] times_times_int(plus_plus_int(A_20,B_17),C_14)=plus_plus_int(times_times_int(A_20,C_14),times_times_int(B_17,C_14)).
% 2.04/2.24 0 [] minus_minus_int(plus_plus_int(A_19,C_13),plus_plus_int(B_16,D_5))=plus_plus_int(minus_minus_int(A_19,B_16),minus_minus_int(C_13,D_5)).
% 2.04/2.24 0 [] minus_minus_int(plus_plus_int(A_18,B_15),B_15)=A_18.
% 2.04/2.24 0 [] plus_plus_int(times_times_int(W_1,Y_4),times_times_int(X_4,Z_2))!=plus_plus_int(times_times_int(W_1,Z_2),times_times_int(X_4,Y_4))|W_1=X_4|Y_4=Z_2.
% 2.04/2.24 0 [] plus_plus_int(times_times_int(W_1,Y_4),times_times_int(X_4,Z_2))=plus_plus_int(times_times_int(W_1,Z_2),times_times_int(X_4,Y_4))|W_1!=X_4.
% 2.04/2.24 0 [] plus_plus_int(times_times_int(W_1,Y_4),times_times_int(X_4,Z_2))=plus_plus_int(times_times_int(W_1,Z_2),times_times_int(X_4,Y_4))|Y_4!=Z_2.
% 2.04/2.24 0 [] plus_plus_int(times_times_int(A_17,M),times_times_int(B_14,M))=times_times_int(plus_plus_int(A_17,B_14),M).
% 2.04/2.24 0 [] times_times_int(plus_plus_int(A_16,B_13),C_12)=plus_plus_int(times_times_int(A_16,C_12),times_times_int(B_13,C_12)).
% 2.04/2.24 0 [] Aa=Ba|C=D_1|plus_plus_int(times_times_int(Aa,C),times_times_int(Ba,D_1))!=plus_plus_int(times_times_int(Aa,D_1),times_times_int(Ba,C)).
% 2.04/2.24 0 [] Aa!=Ba|plus_plus_int(times_times_int(Aa,C),times_times_int(Ba,D_1))=plus_plus_int(times_times_int(Aa,D_1),times_times_int(Ba,C)).
% 2.04/2.24 0 [] C!=D_1|plus_plus_int(times_times_int(Aa,C),times_times_int(Ba,D_1))=plus_plus_int(times_times_int(Aa,D_1),times_times_int(Ba,C)).
% 2.04/2.24 0 [] times_times_int(X_3,plus_plus_int(Y_3,Z_1))=plus_plus_int(times_times_int(X_3,Y_3),times_times_int(X_3,Z_1)).
% 2.04/2.24 0 [] product_Pair_int_int(A_15,B_12)!=product_Pair_int_int(A_14,B_11)|A_15=A_14.
% 2.04/2.24 0 [] product_Pair_int_int(A_15,B_12)!=product_Pair_int_int(A_14,B_11)|B_12=B_11.
% 2.04/2.24 0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_13,B_10)|Aa=A_13.
% 2.04/2.24 0 [] product_Pair_int_int(Aa,Ba)!=product_Pair_int_int(A_13,B_10)|Ba=B_10.
% 2.04/2.24 0 [] product_Pair_int_int(Aa,Ba)=product_Pair_int_int(A_13,B_10)|Aa!=A_13|Ba!=B_10.
% 2.04/2.24 0 [] times_times_int(A_12,B_9)=times_times_int(B_9,A_12).
% 2.04/2.24 0 [] times_times_int(Lx_6,times_times_int(Rx_6,Ry_4))=times_times_int(Rx_6,times_times_int(Lx_6,Ry_4)).
% 2.04/2.24 0 [] times_times_int(Lx_5,times_times_int(Rx_5,Ry_3))=times_times_int(times_times_int(Lx_5,Rx_5),Ry_3).
% 2.04/2.24 0 [] times_times_int(times_times_int(Lx_4,Ly_4),Rx_4)=times_times_int(Lx_4,times_times_int(Ly_4,Rx_4)).
% 2.04/2.24 0 [] times_times_int(times_times_int(Lx_3,Ly_3),Rx_3)=times_times_int(times_times_int(Lx_3,Rx_3),Ly_3).
% 2.04/2.24 0 [] times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2))=times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2))).
% 2.04/2.24 0 [] times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1))=times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1)).
% 2.04/2.24 0 [] times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry))=times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry)).
% 2.04/2.24 0 [] plus_plus_int(A_11,C_11)=plus_plus_int(C_11,A_11).
% 2.04/2.24 0 [] plus_plus_int(A_10,plus_plus_int(C_10,D_4))=plus_plus_int(C_10,plus_plus_int(A_10,D_4)).
% 2.04/2.24 0 [] plus_plus_int(A_9,plus_plus_int(C_9,D_3))=plus_plus_int(plus_plus_int(A_9,C_9),D_3).
% 2.04/2.24 0 [] plus_plus_int(plus_plus_int(A_8,B_8),C_8)=plus_plus_int(A_8,plus_plus_int(B_8,C_8)).
% 2.04/2.24 0 [] plus_plus_int(plus_plus_int(A_7,B_7),C_7)=plus_plus_int(plus_plus_int(A_7,C_7),B_7).
% 2.04/2.24 0 [] plus_plus_int(plus_plus_int(A_6,B_6),plus_plus_int(C_6,D_2))=plus_plus_int(plus_plus_int(A_6,C_6),plus_plus_int(B_6,D_2)).
% 2.04/2.24 0 [] -hBOOL(hAPP_P603027463t_bool(P_1,$f3(P_1)))|hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5))).
% 2.04/2.24 0 [] hBOOL(hAPP_P603027463t_bool(P_1,X1))| -hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int($f5(P_1),$f4(P_1)))).
% 2.04/2.24 0 [] -hBOOL(hAPP_P603027463t_bool(P_1,X1))|hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int($f7(P_1),$f6(P_1)))).
% 2.04/2.24 0 [] hBOOL(hAPP_P603027463t_bool(P_1,$f8(P_1)))| -hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5))).
% 2.04/2.24 0 [] Y_2=product_Pair_int_int($f10(Y_2),$f9(Y_2)).
% 2.04/2.24 0 [] P=product_Pair_int_int($f12(P),$f11(P)).
% 2.04/2.24 0 [] -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba)))|hBOOL(produc262399358t_bool(F,Aa,Ba)).
% 2.04/2.24 0 [] -hBOOL(produc262399358t_bool(F,Aa,Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 2.04/2.24 0 [] -hBOOL(produc262399358t_bool(F,Aa,Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 2.04/2.24 0 [] -hBOOL(produc262399358t_bool(F,Aa,Ba))|hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 2.04/2.24 0 [] hBOOL(produc262399358t_bool(F,Aa,Ba))| -hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))|hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C),D_1)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))| -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C),D_1)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))|hBOOL(ord_less_e_q_int(C,plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1))).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1)))| -hBOOL(ord_less_e_q_int(C,plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1))).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(I,J))|hBOOL(ord_less_e_q_int(plus_plus_int(K,I),plus_plus_int(K,J))).
% 2.04/2.24 0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C,D_1)| -hBOOL(ord_less_e_q_int(Aa,Ba))|hBOOL(ord_less_e_q_int(C,D_1)).
% 2.04/2.24 0 [] minus_minus_int(Aa,Ba)!=minus_minus_int(C,D_1)|hBOOL(ord_less_e_q_int(Aa,Ba))| -hBOOL(ord_less_e_q_int(C,D_1)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(C_5,A_4),plus_plus_int(C_5,B_4)))|hBOOL(ord_less_e_q_int(A_4,B_4)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(A_3,C_4),plus_plus_int(B_3,C_4)))|hBOOL(ord_less_e_q_int(A_3,B_3)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(A_2,B_2))| -hBOOL(ord_less_e_q_int(C_3,D))|hBOOL(ord_less_e_q_int(plus_plus_int(A_2,C_3),plus_plus_int(B_2,D))).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(A_1,B_1))|hBOOL(ord_less_e_q_int(plus_plus_int(C_2,A_1),plus_plus_int(C_2,B_1))).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(plus_plus_int(A,C_1),plus_plus_int(B,C_1))).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(C,Aa),plus_plus_int(C,Ba)))|hBOOL(ord_less_e_q_int(Aa,Ba)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(C,Aa),plus_plus_int(C,Ba)))| -hBOOL(ord_less_e_q_int(Aa,Ba)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(Aa,C),plus_plus_int(Ba,C)))|hBOOL(ord_less_e_q_int(Aa,Ba)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(Aa,C),plus_plus_int(Ba,C)))| -hBOOL(ord_less_e_q_int(Aa,Ba)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(X_1,X_1)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(X,Y))|hBOOL(ord_less_e_q_int(Y,X)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(W,W)).
% 2.04/2.24 0 [] hBOOL(ord_less_e_q_int(Z,W))|hBOOL(ord_less_e_q_int(W,Z)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(I,J))| -hBOOL(ord_less_e_q_int(J,K))|hBOOL(ord_less_e_q_int(I,K)).
% 2.04/2.24 0 [] -hBOOL(ord_less_e_q_int(Z,W))| -hBOOL(ord_less_e_q_int(W,Z))|Z=W.
% 2.04/2.24 0 [] times_times_int(twoSqu536811803sum2sq(product_Pair_int_int(a,b)),twoSqu536811803sum2sq(product_Pair_int_int(p,q)))!=twoSqu536811803sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p)))).
% 2.04/2.24 end_of_list.
% 2.04/2.24
% 2.04/2.24 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 2.04/2.24
% 2.04/2.24 This ia a non-Horn set with equality. The strategy will be
% 2.04/2.24 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.04/2.24 deletion, with positive clauses in sos and nonpositive
% 2.04/2.24 clauses in usable.
% 2.04/2.24
% 2.04/2.24 dependent: set(knuth_bendix).
% 2.04/2.24 dependent: set(anl_eq).
% 2.04/2.24 dependent: set(para_from).
% 2.04/2.24 dependent: set(para_into).
% 2.04/2.24 dependent: clear(para_from_right).
% 2.04/2.24 dependent: clear(para_into_right).
% 2.04/2.24 dependent: set(para_from_vars).
% 2.04/2.24 dependent: set(eq_units_both_ways).
% 2.04/2.24 dependent: set(dynamic_demod_all).
% 2.04/2.24 dependent: set(dynamic_demod).
% 2.04/2.24 dependent: set(order_eq).
% 2.04/2.24 dependent: set(back_demod).
% 2.04/2.24 dependent: set(lrpo).
% 2.04/2.24 dependent: set(hyper_res).
% 2.04/2.24 dependent: set(unit_deletion).
% 2.04/2.24 dependent: set(factor).
% 2.04/2.24
% 2.04/2.24 ------------> process usable:
% 2.04/2.24 ** KEPT (pick-wt=20): 1 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,B),E)|C=plus_plus_int(times_times_int(minus_minus_int(D,A),B),E).
% 2.04/2.24 ** KEPT (pick-wt=20): 2 [] plus_plus_int(times_times_int(A,B),C)=plus_plus_int(times_times_int(D,B),E)|C!=plus_plus_int(times_times_int(minus_minus_int(D,A),B),E).
% 2.04/2.24 ** KEPT (pick-wt=20): 3 [] plus_plus_int(times_times_int(A,B),C)!=plus_plus_int(times_times_int(D,B),E)|plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)=E.
% 2.04/2.24 ** KEPT (pick-wt=20): 4 [] plus_plus_int(times_times_int(A,B),C)=plus_plus_int(times_times_int(D,B),E)|plus_plus_int(times_times_int(minus_minus_int(A,D),B),C)!=E.
% 2.04/2.24 ** KEPT (pick-wt=11): 5 [] -hBOOL(twoSqu526106917sum2sq(A))|twoSqu536811803sum2sq(product_Pair_int_int($f2(A),$f1(A)))=A.
% 2.04/2.24 ** KEPT (pick-wt=9): 6 [] hBOOL(twoSqu526106917sum2sq(A))|twoSqu536811803sum2sq(product_Pair_int_int(B,C))!=A.
% 2.04/2.24 ** KEPT (pick-wt=10): 7 [] minus_minus_int(A,B)!=C|A=plus_plus_int(C,B).
% 2.04/2.24 ** KEPT (pick-wt=10): 8 [] plus_plus_int(A,B)!=plus_plus_int(C,B)|A=C.
% 2.04/2.24 ** KEPT (pick-wt=10): 9 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 2.04/2.24 Following clause subsumed by 9 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 2.04/2.24 Following clause subsumed by 8 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(C,B)|A=C.
% 2.04/2.24 ** KEPT (pick-wt=10): 10 [] plus_plus_int(A,B)=plus_plus_int(C,B)|A!=C.
% 2.04/2.24 Following clause subsumed by 9 during input processing: 0 [] plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 2.04/2.24 ** KEPT (pick-wt=10): 11 [] plus_plus_int(A,B)=plus_plus_int(A,C)|B!=C.
% 2.04/2.24 ** KEPT (pick-wt=13): 12 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|A!=B|C=D.
% 2.04/2.24 ** KEPT (pick-wt=13): 13 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|A=B|C!=D.
% 2.04/2.24 ** KEPT (pick-wt=21): 14 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))!=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A=C|B=D.
% 2.04/2.24 ** KEPT (pick-wt=18): 15 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|A!=C.
% 2.04/2.24 ** KEPT (pick-wt=18): 16 [] plus_plus_int(times_times_int(A,B),times_times_int(C,D))=plus_plus_int(times_times_int(A,D),times_times_int(C,B))|B!=D.
% 2.04/2.24 Following clause subsumed by 14 during input processing: 0 [] A=B|C=D|plus_plus_int(times_times_int(A,C),times_times_int(B,D))!=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 2.04/2.24 Following clause subsumed by 15 during input processing: 0 [] A!=B|plus_plus_int(times_times_int(A,C),times_times_int(B,D))=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 2.04/2.24 Following clause subsumed by 16 during input processing: 0 [] A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 2.04/2.24 ** KEPT (pick-wt=10): 17 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 2.04/2.24 ** KEPT (pick-wt=10): 18 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 2.04/2.24 Following clause subsumed by 17 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 2.04/2.24 Following clause subsumed by 18 during input processing: 0 [] product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 2.04/2.24 ** KEPT (pick-wt=13): 19 [] product_Pair_int_int(A,B)=product_Pair_int_int(C,D)|A!=C|B!=D.
% 2.04/2.24 ** KEPT (pick-wt=11): 20 [] -hBOOL(hAPP_P603027463t_bool(A,$f3(A)))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 ** KEPT (pick-wt=12): 21 [] hBOOL(hAPP_P603027463t_bool(A,B))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f5(A),$f4(A)))).
% 2.04/2.24 ** KEPT (pick-wt=12): 22 [] -hBOOL(hAPP_P603027463t_bool(A,B))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int($f7(A),$f6(A)))).
% 2.04/2.24 ** KEPT (pick-wt=11): 23 [] hBOOL(hAPP_P603027463t_bool(A,$f8(A)))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 ** KEPT (pick-wt=11): 24 [] -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C)))|hBOOL(produc262399358t_bool(A,B,C)).
% 2.04/2.24 ** KEPT (pick-wt=11): 25 [] -hBOOL(produc262399358t_bool(A,B,C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 Following clause subsumed by 25 during input processing: 0 [] -hBOOL(produc262399358t_bool(A,B,C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 Following clause subsumed by 25 during input processing: 0 [] -hBOOL(produc262399358t_bool(A,B,C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 Following clause subsumed by 24 during input processing: 0 [] hBOOL(produc262399358t_bool(A,B,C))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 2.04/2.24 ** KEPT (pick-wt=22): 26 [] -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(D,B),E)))|hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(minus_minus_int(A,D),B),C),E)).
% 2.04/2.24 ** KEPT (pick-wt=22): 27 [] hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(minus_minus_int(A,D),B),C),E)).
% 2.04/2.24 ** KEPT (pick-wt=22): 28 [] -hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(D,B),E)))|hBOOL(ord_less_e_q_int(C,plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 2.04/2.24 ** KEPT (pick-wt=22): 29 [] hBOOL(ord_less_e_q_int(plus_plus_int(times_times_int(A,B),C),plus_plus_int(times_times_int(D,B),E)))| -hBOOL(ord_less_e_q_int(C,plus_plus_int(times_times_int(minus_minus_int(D,A),B),E))).
% 2.04/2.24 ** KEPT (pick-wt=12): 30 [] -hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(plus_plus_int(C,A),plus_plus_int(C,B))).
% 2.04/2.24 ** KEPT (pick-wt=15): 31 [] minus_minus_int(A,B)!=minus_minus_int(C,D)| -hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(C,D)).
% 2.04/2.24 ** KEPT (pick-wt=15): 32 [] minus_minus_int(A,B)!=minus_minus_int(C,D)|hBOOL(ord_less_e_q_int(A,B))| -hBOOL(ord_less_e_q_int(C,D)).
% 2.04/2.24 ** KEPT (pick-wt=12): 33 [] -hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(A,C)))|hBOOL(ord_less_e_q_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=12): 34 [] -hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(C,B)))|hBOOL(ord_less_e_q_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=16): 35 [] -hBOOL(ord_less_e_q_int(A,B))| -hBOOL(ord_less_e_q_int(C,D))|hBOOL(ord_less_e_q_int(plus_plus_int(A,C),plus_plus_int(B,D))).
% 2.04/2.24 Following clause subsumed by 30 during input processing: 0 [] -hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(plus_plus_int(C,A),plus_plus_int(C,B))).
% 2.04/2.24 ** KEPT (pick-wt=12): 36 [] -hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(plus_plus_int(A,C),plus_plus_int(B,C))).
% 2.04/2.24 Following clause subsumed by 33 during input processing: 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(A,C)))|hBOOL(ord_less_e_q_int(B,C)).
% 2.04/2.24 Following clause subsumed by 30 during input processing: 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(A,C)))| -hBOOL(ord_less_e_q_int(B,C)).
% 2.04/2.24 Following clause subsumed by 34 during input processing: 0 [] -hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(C,B)))|hBOOL(ord_less_e_q_int(A,C)).
% 2.04/2.24 Following clause subsumed by 36 during input processing: 0 [] hBOOL(ord_less_e_q_int(plus_plus_int(A,B),plus_plus_int(C,B)))| -hBOOL(ord_less_e_q_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=12): 37 [] -hBOOL(ord_less_e_q_int(A,B))| -hBOOL(ord_less_e_q_int(B,C))|hBOOL(ord_less_e_q_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=11): 38 [] -hBOOL(ord_less_e_q_int(A,B))| -hBOOL(ord_less_e_q_int(B,A))|A=B.
% 2.04/2.24 ** KEPT (pick-wt=26): 40 [copy,39,flip.1] twoSqu536811803sum2sq(product_Pair_int_int(plus_plus_int(times_times_int(a,p),times_times_int(b,q)),minus_minus_int(times_times_int(a,q),times_times_int(b,p))))!=times_times_int(twoSqu536811803sum2sq(product_Pair_int_int(a,b)),twoSqu536811803sum2sq(product_Pair_int_int(p,q))).
% 2.04/2.24
% 2.04/2.24 ------------> process sos:
% 2.04/2.24 ** KEPT (pick-wt=3): 45 [] A=A.
% 2.04/2.24 ** KEPT (pick-wt=4): 46 [] is_bool(ord_less_e_q_int(A,B)).
% 2.04/2.24 ** KEPT (pick-wt=5): 47 [] is_bool(produc262399358t_bool(A,B,C)).
% 2.04/2.24 ** KEPT (pick-wt=3): 48 [] is_bool(twoSqu526106917sum2sq(A)).
% 2.04/2.24 ** KEPT (pick-wt=4): 49 [] is_bool(hAPP_P603027463t_bool(A,B)).
% 2.04/2.24 ** KEPT (pick-wt=33): 50 [] plus_plus_int(times_times_int(minus_minus_int(A,times_times_int(B,C)),D),times_times_int(minus_minus_int(E,times_times_int(B,F)),G))=minus_minus_int(plus_plus_int(times_times_int(A,D),times_times_int(E,G)),times_times_int(B,plus_plus_int(times_times_int(C,D),times_times_int(F,G)))).
% 2.04/2.24 ** KEPT (pick-wt=19): 52 [copy,51,flip.1] plus_plus_int(times_times_int(A,minus_minus_int(B,C)),times_times_int(minus_minus_int(A,D),C))=minus_minus_int(times_times_int(A,B),times_times_int(D,C)).
% 2.04/2.24 ---> New Demodulator: 53 [new_demod,52] plus_plus_int(times_times_int(A,minus_minus_int(B,C)),times_times_int(minus_minus_int(A,D),C))=minus_minus_int(times_times_int(A,B),times_times_int(D,C)).
% 2.04/2.24 ** KEPT (pick-wt=13): 54 [] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)).
% 2.04/2.24 ---> New Demodulator: 55 [new_demod,54] times_times_int(A,minus_minus_int(B,C))=minus_minus_int(times_times_int(A,B),times_times_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=13): 56 [] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.24 ---> New Demodulator: 57 [new_demod,56] times_times_int(minus_minus_int(A,B),C)=minus_minus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=13): 58 [] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 2.04/2.24 ---> New Demodulator: 59 [new_demod,58] times_times_int(A,plus_plus_int(B,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=13): 60 [] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.24 ---> New Demodulator: 61 [new_demod,60] times_times_int(plus_plus_int(A,B),C)=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=7): 62 [] plus_plus_int(minus_minus_int(A,B),B)=A.
% 2.04/2.24 ---> New Demodulator: 63 [new_demod,62] plus_plus_int(minus_minus_int(A,B),B)=A.
% 2.04/2.24 ** KEPT (pick-wt=11): 64 [] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)).
% 2.04/2.24 ---> New Demodulator: 65 [new_demod,64] times_times_int(times_times_int(A,B),C)=times_times_int(A,times_times_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=11): 66 [] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)).
% 2.04/2.24 ---> New Demodulator: 67 [new_demod,66] plus_plus_int(plus_plus_int(A,B),C)=plus_plus_int(A,plus_plus_int(B,C)).
% 2.04/2.24 Following clause subsumed by 45 during input processing: 0 [demod,65] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=7): 68 [] times_times_int(A,B)=times_times_int(B,A).
% 2.04/2.24 Following clause subsumed by 45 during input processing: 0 [demod,67] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=11): 69 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 2.04/2.24 ** KEPT (pick-wt=7): 70 [] plus_plus_int(A,B)=plus_plus_int(B,A).
% 2.04/2.24 Following clause subsumed by 45 during input processing: 0 [demod,61,67] plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D))=plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D)).
% 2.04/2.24 Following clause subsumed by 45 during input processing: 0 [demod,61] plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.24 ** KEPT (pick-wt=15): 72 [copy,71,flip.1] plus_plus_int(minus_minus_int(A,B),minus_minus_int(C,D))=minus_minus_int(plus_plus_int(A,C),plus_plus_int(B,D)).
% 2.04/2.24 ---> New Demodulator: 73 [new_demod,72] plus_plus_int(minus_minus_int(A,B),minus_minus_int(C,D))=minus_minus_int(plus_plus_int(A,C),plus_plus_int(B,D)).
% 2.04/2.25 ** KEPT (pick-wt=7): 74 [] minus_minus_int(plus_plus_int(A,B),B)=A.
% 2.04/2.25 ---> New Demodulator: 75 [new_demod,74] minus_minus_int(plus_plus_int(A,B),B)=A.
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,61] plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,61] plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,59] plus_plus_int(times_times_int(A,B),times_times_int(A,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 2.04/2.25 Following clause subsumed by 68 during input processing: 0 [] times_times_int(A,B)=times_times_int(B,A).
% 2.04/2.25 ** KEPT (pick-wt=11): 76 [] times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,65] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,65] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=11): 78 [copy,77,demod,65,65] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,65] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(B,times_times_int(C,D))).
% 2.04/2.25 ** KEPT (pick-wt=15): 80 [copy,79,demod,65,65] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 2.04/2.25 ** KEPT (pick-wt=15): 82 [copy,81,demod,65,65] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 2.04/2.25 Following clause subsumed by 70 during input processing: 0 [] plus_plus_int(A,B)=plus_plus_int(B,A).
% 2.04/2.25 Following clause subsumed by 69 during input processing: 0 [] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,67] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [demod,67] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=11): 84 [copy,83,demod,67,67] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 2.04/2.25 ** KEPT (pick-wt=15): 86 [copy,85,demod,67,67] plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 2.04/2.25 ** KEPT (pick-wt=7): 88 [copy,87,flip.1] product_Pair_int_int($f10(A),$f9(A))=A.
% 2.04/2.25 ---> New Demodulator: 89 [new_demod,88] product_Pair_int_int($f10(A),$f9(A))=A.
% 2.04/2.25 ** KEPT (pick-wt=7): 91 [copy,90,flip.1] product_Pair_int_int($f12(A),$f11(A))=A.
% 2.04/2.25 ---> New Demodulator: 92 [new_demod,91] product_Pair_int_int($f12(A),$f11(A))=A.
% 2.04/2.25 ** KEPT (pick-wt=4): 93 [] hBOOL(ord_less_e_q_int(A,A)).
% 2.04/2.25 ** KEPT (pick-wt=8): 94 [] hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(B,A)).
% 2.04/2.25 Following clause subsumed by 93 during input processing: 0 [] hBOOL(ord_less_e_q_int(A,A)).
% 2.04/2.25 Following clause subsumed by 94 during input processing: 0 [] hBOOL(ord_less_e_q_int(A,B))|hBOOL(ord_less_e_q_int(B,A)).
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [copy,45,flip.1] A=A.
% 2.04/2.25 45 back subsumes 44.
% 2.04/2.25 Following clause subsumed by 45 during input processing: 0 [copy,50,flip.1,demod,59,57,65,57,65,73] minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D))))=minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D)))).
% 2.04/2.25 >>>> Starting back demodulation with 53.
% 2.04/2.25 >>>> Starting back demodulation with 55.
% 2.04/2.25 >> back demodulating 52 with 55.
% 2.04/2.25 >>>> Starting back demodulation with 57.
% 2.04/2.25 >> back demodulating 50 with 57.
% 4.79/4.98 >> back demodulating 29 with 57.
% 4.79/4.98 >> back demodulating 28 with 57.
% 4.79/4.98 >> back demodulating 27 with 57.
% 4.79/4.98 >> back demodulating 26 with 57.
% 4.79/4.98 >> back demodulating 4 with 57.
% 4.79/4.98 >> back demodulating 3 with 57.
% 4.79/4.98 >> back demodulating 2 with 57.
% 4.79/4.98 >> back demodulating 1 with 57.
% 4.79/4.98 >>>> Starting back demodulation with 59.
% 4.79/4.98 >>>> Starting back demodulation with 61.
% 4.79/4.98 >>>> Starting back demodulation with 63.
% 4.79/4.98 >>>> Starting back demodulation with 65.
% 4.79/4.98 >>>> Starting back demodulation with 67.
% 4.79/4.98 Following clause subsumed by 68 during input processing: 0 [copy,68,flip.1] times_times_int(A,B)=times_times_int(B,A).
% 4.79/4.98 Following clause subsumed by 69 during input processing: 0 [copy,69,flip.1] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 4.79/4.98 Following clause subsumed by 70 during input processing: 0 [copy,70,flip.1] plus_plus_int(A,B)=plus_plus_int(B,A).
% 4.79/4.98 >>>> Starting back demodulation with 73.
% 4.79/4.98 >>>> Starting back demodulation with 75.
% 4.79/4.98 Following clause subsumed by 76 during input processing: 0 [copy,76,flip.1] times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 4.79/4.98 Following clause subsumed by 78 during input processing: 0 [copy,78,flip.1] times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 4.79/4.98 ** KEPT (pick-wt=15): 105 [copy,80,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(B,times_times_int(C,times_times_int(A,D))).
% 4.79/4.98 Following clause subsumed by 82 during input processing: 0 [copy,82,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 4.79/4.98 Following clause subsumed by 84 during input processing: 0 [copy,84,flip.1] plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 4.79/4.98 Following clause subsumed by 86 during input processing: 0 [copy,86,flip.1] plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 4.79/4.98 >>>> Starting back demodulation with 89.
% 4.79/4.98 >>>> Starting back demodulation with 92.
% 4.79/4.98 >>>> Starting back demodulation with 96.
% 4.79/4.98 Following clause subsumed by 80 during input processing: 0 [copy,105,flip.1] times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 4.79/4.98
% 4.79/4.98 ======= end of input processing =======
% 4.79/4.98
% 4.79/4.98 =========== start of search ===========
% 4.79/4.98
% 4.79/4.98
% 4.79/4.98 Resetting weight limit to 10.
% 4.79/4.98
% 4.79/4.98
% 4.79/4.98 Resetting weight limit to 10.
% 4.79/4.98
% 4.79/4.98 sos_size=250
% 4.79/4.98
% 4.79/4.98
% 4.79/4.98 Resetting weight limit to 9.
% 4.79/4.98
% 4.79/4.98
% 4.79/4.98 Resetting weight limit to 9.
% 4.79/4.98
% 4.79/4.98 sos_size=262
% 4.79/4.98
% 4.79/4.98 Search stopped because sos empty.
% 4.79/4.98
% 4.79/4.98
% 4.79/4.98 Search stopped because sos empty.
% 4.79/4.98
% 4.79/4.98 ============ end of search ============
% 4.79/4.98
% 4.79/4.98 -------------- statistics -------------
% 4.79/4.98 clauses given 314
% 4.79/4.98 clauses generated 149563
% 4.79/4.98 clauses kept 382
% 4.79/4.98 clauses forward subsumed 3856
% 4.79/4.98 clauses back subsumed 22
% 4.79/4.98 Kbytes malloced 7812
% 4.79/4.98
% 4.79/4.98 ----------- times (seconds) -----------
% 4.79/4.98 user CPU time 2.74 (0 hr, 0 min, 2 sec)
% 4.79/4.98 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 4.79/4.98 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.79/4.98
% 4.79/4.98 Process 14597 finished Wed Jul 27 09:17:51 2022
% 4.79/4.98 Otter interrupted
% 4.79/4.98 PROOF NOT FOUND
%------------------------------------------------------------------------------