TSTP Solution File: HWV027-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV027-1 : TPTP v8.1.0. Released v2.5.0.
% 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 12:58:10 EDT 2022
% Result : Unsatisfiable 3.39s 3.56s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 8 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 5 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(81,axiom,
~ p_Wr(t_139),
file('HWV027-1.p',unknown),
[] ).
cnf(82,axiom,
~ p_Rd(t_139),
file('HWV027-1.p',unknown),
[] ).
cnf(83,axiom,
~ p_Reset(t_139),
file('HWV027-1.p',unknown),
[] ).
cnf(84,axiom,
level(t_139) != level(plus(t_139,n1)),
file('HWV027-1.p',unknown),
[] ).
cnf(85,plain,
level(plus(t_139,n1)) != level(t_139),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[84])]),
[iquote('copy,84,flip.1')] ).
cnf(95,axiom,
level(A) = int_level(A),
file('HWV027-1.p',unknown),
[] ).
cnf(98,axiom,
( p_Reset(A)
| p_Wr(A)
| p_Rd(A)
| int_level(plus(A,n1)) = int_level(A) ),
file('HWV027-1.p',unknown),
[] ).
cnf(99,plain,
int_level(plus(t_139,n1)) != int_level(t_139),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[85]),95,95]),
[iquote('back_demod,85,demod,95,95')] ).
cnf(1473,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[98,81]),83,82,99]),
[iquote('hyper,98,81,unit_del,83,82,99')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV027-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:32:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.89/3.08 ----- Otter 3.3f, August 2004 -----
% 2.89/3.08 The process was started by sandbox on n007.cluster.edu,
% 2.89/3.08 Wed Jul 27 06:32:16 2022
% 2.89/3.08 The command was "./otter". The process ID is 24743.
% 2.89/3.08
% 2.89/3.08 set(prolog_style_variables).
% 2.89/3.08 set(auto).
% 2.89/3.08 dependent: set(auto1).
% 2.89/3.08 dependent: set(process_input).
% 2.89/3.08 dependent: clear(print_kept).
% 2.89/3.08 dependent: clear(print_new_demod).
% 2.89/3.08 dependent: clear(print_back_demod).
% 2.89/3.08 dependent: clear(print_back_sub).
% 2.89/3.08 dependent: set(control_memory).
% 2.89/3.08 dependent: assign(max_mem, 12000).
% 2.89/3.08 dependent: assign(pick_given_ratio, 4).
% 2.89/3.08 dependent: assign(stats_level, 1).
% 2.89/3.08 dependent: assign(max_seconds, 10800).
% 2.89/3.08 clear(print_given).
% 2.89/3.08
% 2.89/3.08 list(usable).
% 2.89/3.08 0 [] A=A.
% 2.89/3.08 0 [] plus(X_0,n1)!=n0.
% 2.89/3.08 0 [] gt(plus(X_1,n1),n0).
% 2.89/3.08 0 [] -gt(X_2,n0)|gt(X_2,minus(X_2,n1)).
% 2.89/3.08 0 [] minus(X_3,Y_4)!=Z_5|plus(Z_5,Y_4)=X_3|def_10(Y_4,X_3).
% 2.89/3.08 0 [] minus(X_3,Y_4)=Z_5|plus(Z_5,Y_4)!=X_3|def_10(Y_4,X_3).
% 2.89/3.08 0 [] -def_10(Y_4,X_3)| -gt(X_3,Y_4).
% 2.89/3.08 0 [] -def_10(Y_4,X_3)|X_3!=Y_4.
% 2.89/3.08 0 [] -gt(Y_12,X_11)|gt(plus(Y_12,n1),plus(X_11,n1)).
% 2.89/3.08 0 [] gt(Y_12,X_11)| -gt(plus(Y_12,n1),plus(X_11,n1)).
% 2.89/3.08 0 [] gt(X_13,Y_14)| -gt(plus(X_13,n1),Y_14)|Y_14=X_13.
% 2.89/3.08 0 [] -gt(plus(X_15,n1),Y_16)|gt(X_15,Y_16)|X_15=Y_16.
% 2.89/3.08 0 [] gt(Y_18,X_17)|X_17=Y_18|gt(X_17,Y_18).
% 2.89/3.08 0 [] -gt(Z_21,Y_20)|gt(Z_21,X_19)| -gt(Y_20,X_19).
% 2.89/3.08 0 [] -gt(Y_24,X_23)|plus(X_23,n1)=Y_24|gt(Y_24,plus(X_23,n1)).
% 2.89/3.08 0 [] X_25=n0|gt(X_25,n0).
% 2.89/3.08 0 [] X_26=n0|X_26=plus(y_27(X_26),n1).
% 2.89/3.08 0 [] -gt(X_28,X_28).
% 2.89/3.08 0 [] plus(X_29,n1)!=plus(Y_30,n1)|X_29=Y_30.
% 2.89/3.08 0 [] plus(n0,X_31)=X_31.
% 2.89/3.08 0 [] n1=plus(n0,n1).
% 2.89/3.08 0 [] level(X_t_32)=int_level(X_t_32).
% 2.89/3.08 0 [] int_level(X_t_33)!=fifo_length|p_Full(X_t_33).
% 2.89/3.08 0 [] int_level(X_t_34)=fifo_length| -p_Full(X_t_34).
% 2.89/3.08 0 [] int_level(X_t_35)!=n0|p_Empty(X_t_35).
% 2.89/3.08 0 [] int_level(X_t_36)=n0| -p_Empty(X_t_36).
% 2.89/3.08 0 [] -p_Reset(X_t_37)|int_level(plus(X_t_37,n1))=n0.
% 2.89/3.08 0 [] -p_Reset(X_t_37)|wr_level(plus(X_t_37,n1))=n0.
% 2.89/3.08 0 [] -p_Reset(X_t_37)|rd_level(plus(X_t_37,n1))=n0.
% 2.89/3.08 0 [] -p_Reset(X_t_37)| -p_Wr_error(plus(X_t_37,n1)).
% 2.89/3.08 0 [] -p_Reset(X_t_37)| -p_Rd_error(plus(X_t_37,n1)).
% 2.89/3.08 0 [] -p_Reset(X_t_37)| -p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1)).
% 2.89/3.08 0 [] -p_Reset(X_t_37)| -p_Data_out(X_k1_40,plus(X_t_37,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|rd_level(plus(X_t_42,n1))=rd_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))| -p_Wr_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))|int_level(plus(X_t_42,n1))=plus(int_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))| -p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))|p_Data_in(X_k1_43,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))|p_Mem(wr_level(X_t_42),X_k1_43,plus(X_t_42,n1))| -p_Data_in(X_k1_43,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))|X_c1_47=wr_level(X_t_42)| -p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))|p_Mem(X_c1_47,X_k1_48,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))|X_c1_47=wr_level(X_t_42)|p_Mem(X_c1_47,X_k1_48,plus(X_t_42,n1))| -p_Mem(X_c1_47,X_k1_48,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))| -gt(minus(fifo_length,n1),wr_level(X_t_42))|wr_level(plus(X_t_42,n1))=plus(wr_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -gt(fifo_length,int_level(X_t_42))|gt(minus(fifo_length,n1),wr_level(X_t_42))|wr_level(plus(X_t_42,n1))=n0.
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|gt(fifo_length,int_level(X_t_42))|p_Wr_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|gt(fifo_length,int_level(X_t_42))|wr_level(plus(X_t_42,n1))=wr_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|gt(fifo_length,int_level(X_t_42))|int_level(plus(X_t_42,n1))=int_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|gt(fifo_length,int_level(X_t_42))| -p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))|p_Mem(X_k1_57,X_k2_58,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|gt(fifo_length,int_level(X_t_42))|p_Mem(X_k1_57,X_k2_58,plus(X_t_42,n1))| -p_Mem(X_k1_57,X_k2_58,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -p_Data_out(X_k1_64,plus(X_t_42,n1))|p_Data_out(X_k1_64,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|p_Data_out(X_k1_64,plus(X_t_42,n1))| -p_Data_out(X_k1_64,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)| -p_Rd_error(plus(X_t_42,n1))|p_Rd_error(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)|p_Rd(X_t_42)|p_Rd_error(plus(X_t_42,n1))| -p_Rd_error(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -p_Wr_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -p_Rd_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|int_level(plus(X_t_42,n1))=int_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -p_Data_out(X_k1_73,plus(X_t_42,n1))|p_Mem(rd_level(X_t_42),X_k1_73,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|p_Data_out(X_k1_73,plus(X_t_42,n1))| -p_Mem(rd_level(X_t_42),X_k1_73,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -gt(minus(fifo_length,n1),rd_level(X_t_42))|rd_level(plus(X_t_42,n1))=plus(rd_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|gt(minus(fifo_length,n1),rd_level(X_t_42))|rd_level(plus(X_t_42,n1))=n0.
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|p_Rd_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|int_level(plus(X_t_42,n1))=plus(int_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|rd_level(plus(X_t_42,n1))=rd_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)| -p_Data_out(X_k1_81,plus(X_t_42,n1))|p_Data_out(X_k1_81,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|p_Data_out(X_k1_81,plus(X_t_42,n1))| -p_Data_out(X_k1_81,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))|p_Data_in(X_k1_87,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|p_Mem(wr_level(X_t_42),X_k1_87,plus(X_t_42,n1))| -p_Data_in(X_k1_87,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|X_c1_91=wr_level(X_t_42)| -p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))|p_Mem(X_c1_91,X_k1_92,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|X_c1_91=wr_level(X_t_42)|p_Mem(X_c1_91,X_k1_92,plus(X_t_42,n1))| -p_Mem(X_c1_91,X_k1_92,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(minus(fifo_length,n1),wr_level(X_t_42))|wr_level(plus(X_t_42,n1))=plus(wr_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(minus(fifo_length,n1),wr_level(X_t_42))|wr_level(plus(X_t_42,n1))=n0.
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|wr_level(plus(X_t_42,n1))=wr_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -p_Rd_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|int_level(plus(X_t_42,n1))=minus(int_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -p_Data_out(X_k1_103,plus(X_t_42,n1))|p_Mem(rd_level(X_t_42),X_k1_103,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|p_Data_out(X_k1_103,plus(X_t_42,n1))| -p_Mem(rd_level(X_t_42),X_k1_103,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)| -gt(minus(fifo_length,n1),rd_level(X_t_42))|rd_level(plus(X_t_42,n1))=plus(rd_level(X_t_42),n1).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)| -gt(int_level(X_t_42),n0)|gt(minus(fifo_length,n1),rd_level(X_t_42))|rd_level(plus(X_t_42,n1))=n0.
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|p_Rd_error(plus(X_t_42,n1)).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|rd_level(plus(X_t_42,n1))=rd_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|int_level(plus(X_t_42,n1))=int_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)| -p_Data_out(X_k1_111,plus(X_t_42,n1))|p_Data_out(X_k1_111,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Rd(X_t_42)|gt(int_level(X_t_42),n0)|p_Data_out(X_k1_111,plus(X_t_42,n1))| -p_Data_out(X_k1_111,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)|rd_level(plus(X_t_42,n1))=rd_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)|int_level(plus(X_t_42,n1))=int_level(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)| -p_Data_out(X_k1_119,plus(X_t_42,n1))|p_Data_out(X_k1_119,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)|p_Data_out(X_k1_119,plus(X_t_42,n1))| -p_Data_out(X_k1_119,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)| -p_Rd_error(plus(X_t_42,n1))|p_Rd_error(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Rd(X_t_42)|p_Rd_error(plus(X_t_42,n1))| -p_Rd_error(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))|p_Mem(X_k1_128,X_k2_129,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Mem(X_k1_128,X_k2_129,plus(X_t_42,n1))| -p_Mem(X_k1_128,X_k2_129,X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)| -p_Wr_error(plus(X_t_42,n1))|p_Wr_error(X_t_42).
% 2.89/3.08 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|p_Wr_error(plus(X_t_42,n1))| -p_Wr_error(X_t_42).
% 2.89/3.08 0 [] -p_Wr(t_139).
% 2.89/3.08 0 [] -p_Rd(t_139).
% 2.89/3.08 0 [] -p_Reset(t_139).
% 2.89/3.08 0 [] level(t_139)!=level(plus(t_139,n1)).
% 2.89/3.08 end_of_list.
% 2.89/3.08
% 2.89/3.08 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.89/3.08
% 2.89/3.08 This ia a non-Horn set with equality. The strategy will be
% 2.89/3.08 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.89/3.08 deletion, with positive clauses in sos and nonpositive
% 2.89/3.08 clauses in usable.
% 2.89/3.08
% 2.89/3.08 dependent: set(knuth_bendix).
% 2.89/3.08 dependent: set(anl_eq).
% 2.89/3.08 dependent: set(para_from).
% 2.89/3.08 dependent: set(para_into).
% 2.89/3.08 dependent: clear(para_from_right).
% 2.89/3.08 dependent: clear(para_into_right).
% 2.89/3.08 dependent: set(para_from_vars).
% 2.89/3.08 dependent: set(eq_units_both_ways).
% 2.89/3.08 dependent: set(dynamic_demod_all).
% 2.89/3.08 dependent: set(dynamic_demod).
% 2.89/3.08 dependent: set(order_eq).
% 2.89/3.08 dependent: set(back_demod).
% 2.89/3.08 dependent: set(lrpo).
% 2.89/3.08 dependent: set(hyper_res).
% 2.89/3.08 dependent: set(unit_deletion).
% 2.89/3.08 dependent: set(factor).
% 2.89/3.08
% 2.89/3.08 ------------> process usable:
% 2.89/3.08 ** KEPT (pick-wt=5): 1 [] plus(A,n1)!=n0.
% 2.89/3.08 ** KEPT (pick-wt=8): 2 [] -gt(A,n0)|gt(A,minus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=13): 3 [] minus(A,B)!=C|plus(C,B)=A|def_10(B,A).
% 2.89/3.08 ** KEPT (pick-wt=13): 4 [] minus(A,B)=C|plus(C,B)!=A|def_10(B,A).
% 2.89/3.08 ** KEPT (pick-wt=6): 5 [] -def_10(A,B)| -gt(B,A).
% 2.89/3.08 ** KEPT (pick-wt=6): 6 [] -def_10(A,B)|B!=A.
% 2.89/3.08 ** KEPT (pick-wt=10): 7 [] -gt(A,B)|gt(plus(A,n1),plus(B,n1)).
% 2.89/3.08 ** KEPT (pick-wt=10): 8 [] gt(A,B)| -gt(plus(A,n1),plus(B,n1)).
% 2.89/3.08 ** KEPT (pick-wt=11): 9 [] gt(A,B)| -gt(plus(A,n1),B)|B=A.
% 2.89/3.08 ** KEPT (pick-wt=11): 10 [] -gt(plus(A,n1),B)|gt(A,B)|A=B.
% 2.89/3.08 ** KEPT (pick-wt=9): 11 [] -gt(A,B)|gt(A,C)| -gt(B,C).
% 2.89/3.08 ** KEPT (pick-wt=13): 12 [] -gt(A,B)|plus(B,n1)=A|gt(A,plus(B,n1)).
% 2.89/3.08 ** KEPT (pick-wt=3): 13 [] -gt(A,A).
% 2.89/3.08 ** KEPT (pick-wt=10): 14 [] plus(A,n1)!=plus(B,n1)|A=B.
% 2.89/3.08 ** KEPT (pick-wt=6): 15 [] int_level(A)!=fifo_length|p_Full(A).
% 2.89/3.08 ** KEPT (pick-wt=6): 16 [] int_level(A)=fifo_length| -p_Full(A).
% 2.89/3.08 ** KEPT (pick-wt=6): 17 [] int_level(A)!=n0|p_Empty(A).
% 2.89/3.08 ** KEPT (pick-wt=6): 18 [] int_level(A)=n0| -p_Empty(A).
% 2.89/3.08 ** KEPT (pick-wt=8): 19 [] -p_Reset(A)|int_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=8): 20 [] -p_Reset(A)|wr_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=8): 21 [] -p_Reset(A)|rd_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=6): 22 [] -p_Reset(A)| -p_Wr_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=6): 23 [] -p_Reset(A)| -p_Rd_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=8): 24 [] -p_Reset(A)| -p_Mem(B,C,plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=7): 25 [] -p_Reset(A)| -p_Data_out(B,plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=13): 26 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|rd_level(plus(A,n1))=rd_level(A).
% 2.89/3.08 ** KEPT (pick-wt=14): 27 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))| -p_Wr_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=19): 28 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))|int_level(plus(A,n1))=plus(int_level(A),n1).
% 2.89/3.08 ** KEPT (pick-wt=20): 29 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))| -p_Mem(wr_level(A),B,plus(A,n1))|p_Data_in(B,A).
% 2.89/3.08 ** KEPT (pick-wt=20): 30 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))|p_Mem(wr_level(A),B,plus(A,n1))| -p_Data_in(B,A).
% 2.89/3.08 ** KEPT (pick-wt=24): 31 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))|B=wr_level(A)| -p_Mem(B,C,plus(A,n1))|p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=24): 32 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))|B=wr_level(A)|p_Mem(B,C,plus(A,n1))| -p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=25): 33 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))| -gt(minus(fifo_length,n1),wr_level(A))|wr_level(plus(A,n1))=plus(wr_level(A),n1).
% 2.89/3.08 ** KEPT (pick-wt=22): 34 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -gt(fifo_length,int_level(A))|gt(minus(fifo_length,n1),wr_level(A))|wr_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=14): 35 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|gt(fifo_length,int_level(A))|p_Wr_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=17): 36 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|gt(fifo_length,int_level(A))|wr_level(plus(A,n1))=wr_level(A).
% 2.89/3.08 ** KEPT (pick-wt=17): 37 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|gt(fifo_length,int_level(A))|int_level(plus(A,n1))=int_level(A).
% 2.89/3.08 ** KEPT (pick-wt=20): 38 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|gt(fifo_length,int_level(A))| -p_Mem(B,C,plus(A,n1))|p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=20): 39 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|gt(fifo_length,int_level(A))|p_Mem(B,C,plus(A,n1))| -p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=14): 40 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -p_Data_out(B,plus(A,n1))|p_Data_out(B,A).
% 2.89/3.08 ** KEPT (pick-wt=14): 41 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|p_Data_out(B,plus(A,n1))| -p_Data_out(B,A).
% 2.89/3.08 ** KEPT (pick-wt=12): 42 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -p_Rd_error(plus(A,n1))|p_Rd_error(A).
% 2.89/3.08 ** KEPT (pick-wt=12): 43 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|p_Rd_error(plus(A,n1))| -p_Rd_error(A).
% 2.89/3.08 ** KEPT (pick-wt=10): 44 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -p_Wr_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=14): 45 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -p_Rd_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=17): 46 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|int_level(plus(A,n1))=int_level(A).
% 2.89/3.08 ** KEPT (pick-wt=20): 47 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -p_Data_out(B,plus(A,n1))|p_Mem(rd_level(A),B,A).
% 2.89/3.08 ** KEPT (pick-wt=20): 48 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|p_Data_out(B,plus(A,n1))| -p_Mem(rd_level(A),B,A).
% 2.89/3.08 ** KEPT (pick-wt=25): 49 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -gt(minus(fifo_length,n1),rd_level(A))|rd_level(plus(A,n1))=plus(rd_level(A),n1).
% 2.89/3.08 ** KEPT (pick-wt=22): 50 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|gt(minus(fifo_length,n1),rd_level(A))|rd_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=14): 51 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|p_Rd_error(plus(A,n1)).
% 2.89/3.08 ** KEPT (pick-wt=19): 52 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|int_level(plus(A,n1))=plus(int_level(A),n1).
% 2.89/3.08 ** KEPT (pick-wt=17): 53 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|rd_level(plus(A,n1))=rd_level(A).
% 2.89/3.08 ** KEPT (pick-wt=18): 54 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)| -p_Data_out(B,plus(A,n1))|p_Data_out(B,A).
% 2.89/3.08 ** KEPT (pick-wt=18): 55 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|p_Data_out(B,plus(A,n1))| -p_Data_out(B,A).
% 2.89/3.08 ** KEPT (pick-wt=16): 56 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -p_Mem(wr_level(A),B,plus(A,n1))|p_Data_in(B,A).
% 2.89/3.08 ** KEPT (pick-wt=16): 57 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|p_Mem(wr_level(A),B,plus(A,n1))| -p_Data_in(B,A).
% 2.89/3.08 ** KEPT (pick-wt=20): 58 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|B=wr_level(A)| -p_Mem(B,C,plus(A,n1))|p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=20): 59 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|B=wr_level(A)|p_Mem(B,C,plus(A,n1))| -p_Mem(B,C,A).
% 2.89/3.08 ** KEPT (pick-wt=21): 60 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -gt(minus(fifo_length,n1),wr_level(A))|wr_level(plus(A,n1))=plus(wr_level(A),n1).
% 2.89/3.08 ** KEPT (pick-wt=18): 61 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)|gt(minus(fifo_length,n1),wr_level(A))|wr_level(plus(A,n1))=n0.
% 2.89/3.08 ** KEPT (pick-wt=14): 62 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -p_Rd_error(plus(A,n1)).
% 3.39/3.56 ** KEPT (pick-wt=19): 63 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|int_level(plus(A,n1))=minus(int_level(A),n1).
% 3.39/3.56 ** KEPT (pick-wt=20): 64 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -p_Data_out(B,plus(A,n1))|p_Mem(rd_level(A),B,A).
% 3.39/3.56 ** KEPT (pick-wt=20): 65 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|p_Data_out(B,plus(A,n1))| -p_Mem(rd_level(A),B,A).
% 3.39/3.56 ** KEPT (pick-wt=25): 66 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)| -gt(minus(fifo_length,n1),rd_level(A))|rd_level(plus(A,n1))=plus(rd_level(A),n1).
% 3.39/3.56 ** KEPT (pick-wt=22): 67 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)| -gt(int_level(A),n0)|gt(minus(fifo_length,n1),rd_level(A))|rd_level(plus(A,n1))=n0.
% 3.39/3.56 ** KEPT (pick-wt=14): 68 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|p_Rd_error(plus(A,n1)).
% 3.39/3.56 ** KEPT (pick-wt=17): 69 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|rd_level(plus(A,n1))=rd_level(A).
% 3.39/3.56 ** KEPT (pick-wt=17): 70 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|int_level(plus(A,n1))=int_level(A).
% 3.39/3.56 ** KEPT (pick-wt=18): 71 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)| -p_Data_out(B,plus(A,n1))|p_Data_out(B,A).
% 3.39/3.56 ** KEPT (pick-wt=18): 72 [] p_Reset(A)|p_Wr(A)| -p_Rd(A)|gt(int_level(A),n0)|p_Data_out(B,plus(A,n1))| -p_Data_out(B,A).
% 3.39/3.56 ** KEPT (pick-wt=14): 73 [] p_Reset(A)|p_Wr(A)|p_Rd(A)| -p_Data_out(B,plus(A,n1))|p_Data_out(B,A).
% 3.39/3.56 ** KEPT (pick-wt=14): 74 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|p_Data_out(B,plus(A,n1))| -p_Data_out(B,A).
% 3.39/3.56 ** KEPT (pick-wt=12): 75 [] p_Reset(A)|p_Wr(A)|p_Rd(A)| -p_Rd_error(plus(A,n1))|p_Rd_error(A).
% 3.39/3.56 ** KEPT (pick-wt=12): 76 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|p_Rd_error(plus(A,n1))| -p_Rd_error(A).
% 3.39/3.56 ** KEPT (pick-wt=14): 77 [] p_Reset(A)|p_Wr(A)| -p_Mem(B,C,plus(A,n1))|p_Mem(B,C,A).
% 3.39/3.56 ** KEPT (pick-wt=14): 78 [] p_Reset(A)|p_Wr(A)|p_Mem(B,C,plus(A,n1))| -p_Mem(B,C,A).
% 3.39/3.56 ** KEPT (pick-wt=10): 79 [] p_Reset(A)|p_Wr(A)| -p_Wr_error(plus(A,n1))|p_Wr_error(A).
% 3.39/3.56 ** KEPT (pick-wt=10): 80 [] p_Reset(A)|p_Wr(A)|p_Wr_error(plus(A,n1))| -p_Wr_error(A).
% 3.39/3.56 ** KEPT (pick-wt=2): 81 [] -p_Wr(t_139).
% 3.39/3.56 ** KEPT (pick-wt=2): 82 [] -p_Rd(t_139).
% 3.39/3.56 ** KEPT (pick-wt=2): 83 [] -p_Reset(t_139).
% 3.39/3.56 ** KEPT (pick-wt=7): 85 [copy,84,flip.1] level(plus(t_139,n1))!=level(t_139).
% 3.39/3.56
% 3.39/3.56 ------------> process sos:
% 3.39/3.56 ** KEPT (pick-wt=3): 86 [] A=A.
% 3.39/3.56 ** KEPT (pick-wt=5): 87 [] gt(plus(A,n1),n0).
% 3.39/3.56 ** KEPT (pick-wt=9): 88 [] gt(A,B)|B=A|gt(B,A).
% 3.39/3.56 ** KEPT (pick-wt=6): 89 [] A=n0|gt(A,n0).
% 3.39/3.56 ** KEPT (pick-wt=9): 91 [copy,90,flip.2] A=n0|plus(y_27(A),n1)=A.
% 3.39/3.56 ** KEPT (pick-wt=5): 92 [] plus(n0,A)=A.
% 3.39/3.56 ---> New Demodulator: 93 [new_demod,92] plus(n0,A)=A.
% 3.39/3.56 Following clause subsumed by 86 during input processing: 0 [demod,93] n1=n1.
% 3.39/3.56 ** KEPT (pick-wt=5): 94 [] level(A)=int_level(A).
% 3.39/3.56 ---> New Demodulator: 95 [new_demod,94] level(A)=int_level(A).
% 3.39/3.56 ** KEPT (pick-wt=11): 96 [] p_Reset(A)|p_Wr(A)|wr_level(plus(A,n1))=wr_level(A).
% 3.39/3.56 ** KEPT (pick-wt=13): 97 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|rd_level(plus(A,n1))=rd_level(A).
% 3.39/3.56 ** KEPT (pick-wt=13): 98 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|int_level(plus(A,n1))=int_level(A).
% 3.39/3.56 Following clause subsumed by 86 during input processing: 0 [copy,86,flip.1] A=A.
% 3.39/3.56 >>>> Starting back demodulation with 93.
% 3.39/3.56 >>>> Starting back demodulation with 95.
% 3.39/3.56 >> back demodulating 85 with 95.
% 3.39/3.56
% 3.39/3.56 ======= end of input processing =======
% 3.39/3.56
% 3.39/3.56 =========== start of search ===========
% 3.39/3.56
% 3.39/3.56 -------- PROOF --------
% 3.39/3.56
% 3.39/3.56 -----> EMPTY CLAUSE at 0.49 sec ----> 1473 [hyper,98,81,unit_del,83,82,99] $F.
% 3.39/3.56
% 3.39/3.56 Length of proof is 2. Level of proof is 2.
% 3.39/3.56
% 3.39/3.56 ---------------- PROOF ----------------
% 3.39/3.56 % SZS status Unsatisfiable
% 3.39/3.56 % SZS output start Refutation
% See solution above
% 3.39/3.56 ------------ end of proof -------------
% 3.39/3.56
% 3.39/3.56
% 3.39/3.56 Search stopped by max_proofs option.
% 3.39/3.56
% 3.39/3.56
% 3.39/3.56 Search stopped by max_proofs option.
% 3.39/3.56
% 3.39/3.56 ============ end of search ============
% 3.39/3.56
% 3.39/3.56 -------------- statistics -------------
% 3.39/3.56 clauses given 31
% 3.39/3.56 clauses generated 2578
% 3.39/3.56 clauses kept 1463
% 3.39/3.56 clauses forward subsumed 1177
% 3.39/3.56 clauses back subsumed 77
% 3.39/3.56 Kbytes malloced 3906
% 3.39/3.56
% 3.39/3.56 ----------- times (seconds) -----------
% 3.39/3.56 user CPU time 0.49 (0 hr, 0 min, 0 sec)
% 3.39/3.56 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.39/3.56 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.39/3.56
% 3.39/3.56 That finishes the proof of the theorem.
% 3.39/3.56
% 3.39/3.56 Process 24743 finished Wed Jul 27 06:32:19 2022
% 3.39/3.56 Otter interrupted
% 3.39/3.56 PROOF FOUND
%------------------------------------------------------------------------------