TSTP Solution File: HWV025-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV025-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 12:58:09 EDT 2022
% Result : Unsatisfiable 3.73s 3.91s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 5 unt; 7 nHn; 13 RR)
% Number of literals : 33 ( 0 equ; 10 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(42,axiom,
( p_Reset(A)
| ~ p_Wr(A)
| p_Rd(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd_error(A) ),
file('HWV025-1.p',unknown),
[] ).
cnf(43,axiom,
( p_Reset(A)
| ~ p_Wr(A)
| p_Rd(A)
| p_Rd_error(plus(A,n1))
| ~ p_Rd_error(A) ),
file('HWV025-1.p',unknown),
[] ).
cnf(75,axiom,
( p_Reset(A)
| p_Wr(A)
| p_Rd(A)
| ~ p_Rd_error(plus(A,n1))
| p_Rd_error(A) ),
file('HWV025-1.p',unknown),
[] ).
cnf(76,axiom,
( p_Reset(A)
| p_Wr(A)
| p_Rd(A)
| p_Rd_error(plus(A,n1))
| ~ p_Rd_error(A) ),
file('HWV025-1.p',unknown),
[] ).
cnf(81,axiom,
~ p_Rd(t_139),
file('HWV025-1.p',unknown),
[] ).
cnf(82,axiom,
~ p_Reset(t_139),
file('HWV025-1.p',unknown),
[] ).
cnf(83,axiom,
( ~ p_Rd_error(t_139)
| ~ p_Rd_error(plus(t_139,n1)) ),
file('HWV025-1.p',unknown),
[] ).
cnf(97,axiom,
( p_Rd_error(t_139)
| p_Rd_error(plus(t_139,n1)) ),
file('HWV025-1.p',unknown),
[] ).
cnf(1028,plain,
( p_Rd_error(plus(t_139,n1))
| p_Wr(t_139) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[97,76]),82,81])]),
[iquote('hyper,97,76,unit_del,82,81,factor_simp')] ).
cnf(1030,plain,
( p_Rd_error(t_139)
| p_Wr(t_139) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[97,75]),82,81])]),
[iquote('hyper,97,75,unit_del,82,81,factor_simp')] ).
cnf(1076,plain,
p_Rd_error(t_139),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1030,42,97]),82,81])])]),
[iquote('hyper,1030,42,97,unit_del,82,81,factor_simp,factor_simp')] ).
cnf(1708,plain,
p_Rd_error(plus(t_139,n1)),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1028,43,1076]),82,81])]),
[iquote('hyper,1028,43,1076,unit_del,82,81,factor_simp')] ).
cnf(1818,plain,
$false,
inference(hyper,[status(thm)],[1708,83,1076]),
[iquote('hyper,1708,83,1076')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV025-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n015.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 06:52:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.18/3.33 ----- Otter 3.3f, August 2004 -----
% 3.18/3.33 The process was started by sandbox on n015.cluster.edu,
% 3.18/3.33 Wed Jul 27 06:52:57 2022
% 3.18/3.33 The command was "./otter". The process ID is 26526.
% 3.18/3.33
% 3.18/3.33 set(prolog_style_variables).
% 3.18/3.33 set(auto).
% 3.18/3.33 dependent: set(auto1).
% 3.18/3.33 dependent: set(process_input).
% 3.18/3.33 dependent: clear(print_kept).
% 3.18/3.33 dependent: clear(print_new_demod).
% 3.18/3.33 dependent: clear(print_back_demod).
% 3.18/3.33 dependent: clear(print_back_sub).
% 3.18/3.33 dependent: set(control_memory).
% 3.18/3.33 dependent: assign(max_mem, 12000).
% 3.18/3.33 dependent: assign(pick_given_ratio, 4).
% 3.18/3.33 dependent: assign(stats_level, 1).
% 3.18/3.33 dependent: assign(max_seconds, 10800).
% 3.18/3.33 clear(print_given).
% 3.18/3.33
% 3.18/3.33 list(usable).
% 3.18/3.33 0 [] A=A.
% 3.18/3.33 0 [] plus(X_0,n1)!=n0.
% 3.18/3.33 0 [] gt(plus(X_1,n1),n0).
% 3.18/3.33 0 [] -gt(X_2,n0)|gt(X_2,minus(X_2,n1)).
% 3.18/3.33 0 [] minus(X_3,Y_4)!=Z_5|plus(Z_5,Y_4)=X_3|def_10(Y_4,X_3).
% 3.18/3.33 0 [] minus(X_3,Y_4)=Z_5|plus(Z_5,Y_4)!=X_3|def_10(Y_4,X_3).
% 3.18/3.33 0 [] -def_10(Y_4,X_3)| -gt(X_3,Y_4).
% 3.18/3.33 0 [] -def_10(Y_4,X_3)|X_3!=Y_4.
% 3.18/3.33 0 [] -gt(Y_12,X_11)|gt(plus(Y_12,n1),plus(X_11,n1)).
% 3.18/3.33 0 [] gt(Y_12,X_11)| -gt(plus(Y_12,n1),plus(X_11,n1)).
% 3.18/3.33 0 [] gt(X_13,Y_14)| -gt(plus(X_13,n1),Y_14)|Y_14=X_13.
% 3.18/3.33 0 [] -gt(plus(X_15,n1),Y_16)|gt(X_15,Y_16)|X_15=Y_16.
% 3.18/3.33 0 [] gt(Y_18,X_17)|X_17=Y_18|gt(X_17,Y_18).
% 3.18/3.33 0 [] -gt(Z_21,Y_20)|gt(Z_21,X_19)| -gt(Y_20,X_19).
% 3.18/3.33 0 [] -gt(Y_24,X_23)|plus(X_23,n1)=Y_24|gt(Y_24,plus(X_23,n1)).
% 3.18/3.33 0 [] X_25=n0|gt(X_25,n0).
% 3.18/3.33 0 [] X_26=n0|X_26=plus(y_27(X_26),n1).
% 3.18/3.33 0 [] -gt(X_28,X_28).
% 3.18/3.33 0 [] plus(X_29,n1)!=plus(Y_30,n1)|X_29=Y_30.
% 3.18/3.33 0 [] plus(n0,X_31)=X_31.
% 3.18/3.33 0 [] n1=plus(n0,n1).
% 3.18/3.33 0 [] level(X_t_32)=int_level(X_t_32).
% 3.18/3.33 0 [] int_level(X_t_33)!=fifo_length|p_Full(X_t_33).
% 3.18/3.33 0 [] int_level(X_t_34)=fifo_length| -p_Full(X_t_34).
% 3.18/3.33 0 [] int_level(X_t_35)!=n0|p_Empty(X_t_35).
% 3.18/3.33 0 [] int_level(X_t_36)=n0| -p_Empty(X_t_36).
% 3.18/3.33 0 [] -p_Reset(X_t_37)|int_level(plus(X_t_37,n1))=n0.
% 3.18/3.33 0 [] -p_Reset(X_t_37)|wr_level(plus(X_t_37,n1))=n0.
% 3.18/3.33 0 [] -p_Reset(X_t_37)|rd_level(plus(X_t_37,n1))=n0.
% 3.18/3.33 0 [] -p_Reset(X_t_37)| -p_Wr_error(plus(X_t_37,n1)).
% 3.18/3.33 0 [] -p_Reset(X_t_37)| -p_Rd_error(plus(X_t_37,n1)).
% 3.18/3.33 0 [] -p_Reset(X_t_37)| -p_Mem(X_k1_38,X_k2_39,plus(X_t_37,n1)).
% 3.18/3.33 0 [] -p_Reset(X_t_37)| -p_Data_out(X_k1_40,plus(X_t_37,n1)).
% 3.18/3.33 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).
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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.
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 0 [] p_Reset(X_t_42)| -p_Wr(X_t_42)| -p_Rd(X_t_42)| -p_Wr_error(plus(X_t_42,n1)).
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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.
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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.
% 3.18/3.33 0 [] p_Reset(X_t_42)|p_Wr(X_t_42)|wr_level(plus(X_t_42,n1))=wr_level(X_t_42).
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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.
% 3.18/3.33 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)).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 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).
% 3.18/3.33 0 [] -p_Rd(t_139).
% 3.18/3.33 0 [] -p_Reset(t_139).
% 3.18/3.33 0 [] -p_Rd_error(t_139)| -p_Rd_error(plus(t_139,n1)).
% 3.18/3.33 0 [] p_Rd_error(t_139)|p_Rd_error(plus(t_139,n1)).
% 3.18/3.33 end_of_list.
% 3.18/3.33
% 3.18/3.33 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 3.18/3.33
% 3.18/3.33 This ia a non-Horn set with equality. The strategy will be
% 3.18/3.33 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.18/3.33 deletion, with positive clauses in sos and nonpositive
% 3.18/3.33 clauses in usable.
% 3.18/3.33
% 3.18/3.33 dependent: set(knuth_bendix).
% 3.18/3.33 dependent: set(anl_eq).
% 3.18/3.33 dependent: set(para_from).
% 3.18/3.33 dependent: set(para_into).
% 3.18/3.33 dependent: clear(para_from_right).
% 3.18/3.33 dependent: clear(para_into_right).
% 3.18/3.33 dependent: set(para_from_vars).
% 3.18/3.33 dependent: set(eq_units_both_ways).
% 3.18/3.33 dependent: set(dynamic_demod_all).
% 3.18/3.33 dependent: set(dynamic_demod).
% 3.18/3.33 dependent: set(order_eq).
% 3.18/3.33 dependent: set(back_demod).
% 3.18/3.33 dependent: set(lrpo).
% 3.18/3.33 dependent: set(hyper_res).
% 3.18/3.33 dependent: set(unit_deletion).
% 3.18/3.33 dependent: set(factor).
% 3.18/3.33
% 3.18/3.33 ------------> process usable:
% 3.18/3.33 ** KEPT (pick-wt=5): 1 [] plus(A,n1)!=n0.
% 3.18/3.33 ** KEPT (pick-wt=8): 2 [] -gt(A,n0)|gt(A,minus(A,n1)).
% 3.18/3.33 ** KEPT (pick-wt=13): 3 [] minus(A,B)!=C|plus(C,B)=A|def_10(B,A).
% 3.18/3.33 ** KEPT (pick-wt=13): 4 [] minus(A,B)=C|plus(C,B)!=A|def_10(B,A).
% 3.18/3.33 ** KEPT (pick-wt=6): 5 [] -def_10(A,B)| -gt(B,A).
% 3.18/3.33 ** KEPT (pick-wt=6): 6 [] -def_10(A,B)|B!=A.
% 3.18/3.33 ** KEPT (pick-wt=10): 7 [] -gt(A,B)|gt(plus(A,n1),plus(B,n1)).
% 3.18/3.33 ** KEPT (pick-wt=10): 8 [] gt(A,B)| -gt(plus(A,n1),plus(B,n1)).
% 3.18/3.33 ** KEPT (pick-wt=11): 9 [] gt(A,B)| -gt(plus(A,n1),B)|B=A.
% 3.18/3.33 ** KEPT (pick-wt=11): 10 [] -gt(plus(A,n1),B)|gt(A,B)|A=B.
% 3.18/3.33 ** KEPT (pick-wt=9): 11 [] -gt(A,B)|gt(A,C)| -gt(B,C).
% 3.18/3.33 ** KEPT (pick-wt=13): 12 [] -gt(A,B)|plus(B,n1)=A|gt(A,plus(B,n1)).
% 3.18/3.33 ** KEPT (pick-wt=3): 13 [] -gt(A,A).
% 3.18/3.33 ** KEPT (pick-wt=10): 14 [] plus(A,n1)!=plus(B,n1)|A=B.
% 3.18/3.33 ** KEPT (pick-wt=6): 15 [] int_level(A)!=fifo_length|p_Full(A).
% 3.18/3.33 ** KEPT (pick-wt=6): 16 [] int_level(A)=fifo_length| -p_Full(A).
% 3.18/3.33 ** KEPT (pick-wt=6): 17 [] int_level(A)!=n0|p_Empty(A).
% 3.18/3.33 ** KEPT (pick-wt=6): 18 [] int_level(A)=n0| -p_Empty(A).
% 3.18/3.33 ** KEPT (pick-wt=8): 19 [] -p_Reset(A)|int_level(plus(A,n1))=n0.
% 3.18/3.33 ** KEPT (pick-wt=8): 20 [] -p_Reset(A)|wr_level(plus(A,n1))=n0.
% 3.18/3.33 ** KEPT (pick-wt=8): 21 [] -p_Reset(A)|rd_level(plus(A,n1))=n0.
% 3.18/3.33 ** KEPT (pick-wt=6): 22 [] -p_Reset(A)| -p_Wr_error(plus(A,n1)).
% 3.18/3.33 ** KEPT (pick-wt=6): 23 [] -p_Reset(A)| -p_Rd_error(plus(A,n1)).
% 3.18/3.33 ** KEPT (pick-wt=8): 24 [] -p_Reset(A)| -p_Mem(B,C,plus(A,n1)).
% 3.18/3.33 ** KEPT (pick-wt=7): 25 [] -p_Reset(A)| -p_Data_out(B,plus(A,n1)).
% 3.18/3.33 ** KEPT (pick-wt=13): 26 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|rd_level(plus(A,n1))=rd_level(A).
% 3.18/3.33 ** 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)).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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.
% 3.18/3.33 ** 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)).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** KEPT (pick-wt=12): 42 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)| -p_Rd_error(plus(A,n1))|p_Rd_error(A).
% 3.18/3.33 ** KEPT (pick-wt=12): 43 [] p_Reset(A)| -p_Wr(A)|p_Rd(A)|p_Rd_error(plus(A,n1))| -p_Rd_error(A).
% 3.18/3.33 ** KEPT (pick-wt=10): 44 [] p_Reset(A)| -p_Wr(A)| -p_Rd(A)| -p_Wr_error(plus(A,n1)).
% 3.18/3.33 ** 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)).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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.
% 3.18/3.33 ** 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)).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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).
% 3.18/3.33 ** 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.
% 3.73/3.91 ** 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)).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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.
% 3.73/3.91 ** 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)).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** 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).
% 3.73/3.91 ** KEPT (pick-wt=12): 75 [] p_Reset(A)|p_Wr(A)|p_Rd(A)| -p_Rd_error(plus(A,n1))|p_Rd_error(A).
% 3.73/3.91 ** KEPT (pick-wt=12): 76 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|p_Rd_error(plus(A,n1))| -p_Rd_error(A).
% 3.73/3.91 ** KEPT (pick-wt=14): 77 [] p_Reset(A)|p_Wr(A)| -p_Mem(B,C,plus(A,n1))|p_Mem(B,C,A).
% 3.73/3.91 ** KEPT (pick-wt=14): 78 [] p_Reset(A)|p_Wr(A)|p_Mem(B,C,plus(A,n1))| -p_Mem(B,C,A).
% 3.73/3.91 ** KEPT (pick-wt=10): 79 [] p_Reset(A)|p_Wr(A)| -p_Wr_error(plus(A,n1))|p_Wr_error(A).
% 3.73/3.91 ** KEPT (pick-wt=10): 80 [] p_Reset(A)|p_Wr(A)|p_Wr_error(plus(A,n1))| -p_Wr_error(A).
% 3.73/3.91 ** KEPT (pick-wt=2): 81 [] -p_Rd(t_139).
% 3.73/3.91 ** KEPT (pick-wt=2): 82 [] -p_Reset(t_139).
% 3.73/3.91 ** KEPT (pick-wt=6): 83 [] -p_Rd_error(t_139)| -p_Rd_error(plus(t_139,n1)).
% 3.73/3.91
% 3.73/3.91 ------------> process sos:
% 3.73/3.91 ** KEPT (pick-wt=3): 84 [] A=A.
% 3.73/3.91 ** KEPT (pick-wt=5): 85 [] gt(plus(A,n1),n0).
% 3.73/3.91 ** KEPT (pick-wt=9): 86 [] gt(A,B)|B=A|gt(B,A).
% 3.73/3.91 ** KEPT (pick-wt=6): 87 [] A=n0|gt(A,n0).
% 3.73/3.91 ** KEPT (pick-wt=9): 89 [copy,88,flip.2] A=n0|plus(y_27(A),n1)=A.
% 3.73/3.91 ** KEPT (pick-wt=5): 90 [] plus(n0,A)=A.
% 3.73/3.91 ---> New Demodulator: 91 [new_demod,90] plus(n0,A)=A.
% 3.73/3.91 Following clause subsumed by 84 during input processing: 0 [demod,91] n1=n1.
% 3.73/3.91 ** KEPT (pick-wt=5): 92 [] level(A)=int_level(A).
% 3.73/3.91 ---> New Demodulator: 93 [new_demod,92] level(A)=int_level(A).
% 3.73/3.91 ** KEPT (pick-wt=11): 94 [] p_Reset(A)|p_Wr(A)|wr_level(plus(A,n1))=wr_level(A).
% 3.73/3.91 ** KEPT (pick-wt=13): 95 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|rd_level(plus(A,n1))=rd_level(A).
% 3.73/3.91 ** KEPT (pick-wt=13): 96 [] p_Reset(A)|p_Wr(A)|p_Rd(A)|int_level(plus(A,n1))=int_level(A).
% 3.73/3.91 ** KEPT (pick-wt=6): 97 [] p_Rd_error(t_139)|p_Rd_error(plus(t_139,n1)).
% 3.73/3.91 Following clause subsumed by 84 during input processing: 0 [copy,84,flip.1] A=A.
% 3.73/3.91 >>>> Starting back demodulation with 91.
% 3.73/3.91 >>>> Starting back demodulation with 93.
% 3.73/3.91
% 3.73/3.91 ======= end of input processing =======
% 3.73/3.91
% 3.73/3.91 =========== start of search ===========
% 3.73/3.91
% 3.73/3.91 -------- PROOF --------
% 3.73/3.91
% 3.73/3.91 -----> EMPTY CLAUSE at 0.59 sec ----> 1818 [hyper,1708,83,1076] $F.
% 3.73/3.91
% 3.73/3.91 Length of proof is 4. Level of proof is 3.
% 3.73/3.91
% 3.73/3.91 ---------------- PROOF ----------------
% 3.73/3.91 % SZS status Unsatisfiable
% 3.73/3.91 % SZS output start Refutation
% See solution above
% 3.73/3.91 ------------ end of proof -------------
% 3.73/3.91
% 3.73/3.91
% 3.73/3.91 Search stopped by max_proofs option.
% 3.73/3.91
% 3.73/3.91
% 3.73/3.91 Search stopped by max_proofs option.
% 3.73/3.91
% 3.73/3.91 ============ end of search ============
% 3.73/3.91
% 3.73/3.91 -------------- statistics -------------
% 3.73/3.91 clauses given 42
% 3.73/3.91 clauses generated 3097
% 3.73/3.91 clauses kept 1805
% 3.73/3.91 clauses forward subsumed 1466
% 3.73/3.91 clauses back subsumed 132
% 3.73/3.91 Kbytes malloced 3906
% 3.73/3.91
% 3.73/3.91 ----------- times (seconds) -----------
% 3.73/3.91 user CPU time 0.59 (0 hr, 0 min, 0 sec)
% 3.73/3.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.73/3.91 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.73/3.91
% 3.73/3.91 That finishes the proof of the theorem.
% 3.73/3.91
% 3.73/3.91 Process 26526 finished Wed Jul 27 06:53:00 2022
% 3.73/3.91 Otter interrupted
% 3.73/3.91 PROOF FOUND
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