TSTP Solution File: ALG020+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 12:45:55 EDT 2022
% Result : Theorem 2.56s 2.74s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of clauses : 52 ( 33 unt; 19 nHn; 52 RR)
% Number of literals : 90 ( 89 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
e12 != e13,
file('ALG020+1.p',unknown),
[] ).
cnf(12,plain,
e13 != e12,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[11])]),
[iquote('copy,11,flip.1')] ).
cnf(13,axiom,
e20 != e21,
file('ALG020+1.p',unknown),
[] ).
cnf(14,plain,
e21 != e20,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[13])]),
[iquote('copy,13,flip.1')] ).
cnf(17,axiom,
e20 != e23,
file('ALG020+1.p',unknown),
[] ).
cnf(18,plain,
e23 != e20,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
[iquote('copy,17,flip.1')] ).
cnf(21,axiom,
e21 != e23,
file('ALG020+1.p',unknown),
[] ).
cnf(22,plain,
e23 != e21,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[21])]),
[iquote('copy,21,flip.1')] ).
cnf(23,axiom,
e22 != e23,
file('ALG020+1.p',unknown),
[] ).
cnf(24,plain,
e23 != e22,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[23])]),
[iquote('copy,23,flip.1')] ).
cnf(59,axiom,
op1(e10,e10) = e10,
file('ALG020+1.p',unknown),
[] ).
cnf(69,axiom,
op1(e11,e11) = e10,
file('ALG020+1.p',unknown),
[] ).
cnf(79,axiom,
op1(e12,e12) = e10,
file('ALG020+1.p',unknown),
[] ).
cnf(89,axiom,
op1(e13,e13) = e10,
file('ALG020+1.p',unknown),
[] ).
cnf(101,axiom,
op2(e21,e21) = e23,
file('ALG020+1.p',unknown),
[] ).
cnf(111,axiom,
op2(e22,e22) = e23,
file('ALG020+1.p',unknown),
[] ).
cnf(121,axiom,
op2(e23,e23) = e20,
file('ALG020+1.p',unknown),
[] ).
cnf(122,axiom,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
file('ALG020+1.p',unknown),
[] ).
cnf(127,axiom,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
file('ALG020+1.p',unknown),
[] ).
cnf(130,axiom,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('ALG020+1.p',unknown),
[] ).
cnf(131,plain,
op2(h(e10),h(e10)) = h(e10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[130]),59])]),
[iquote('copy,130,demod,59,flip.1')] ).
cnf(145,axiom,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('ALG020+1.p',unknown),
[] ).
cnf(146,plain,
op2(h(e11),h(e11)) = h(e10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[145]),69])]),
[iquote('copy,145,demod,69,flip.1')] ).
cnf(160,axiom,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
file('ALG020+1.p',unknown),
[] ).
cnf(161,plain,
op2(h(e12),h(e12)) = h(e10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[160]),79])]),
[iquote('copy,160,demod,79,flip.1')] ).
cnf(193,axiom,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
file('ALG020+1.p',unknown),
[] ).
cnf(195,plain,
j(e23) = op1(j(e21),j(e21)),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[193]),101]),
[iquote('copy,193,demod,101')] ).
cnf(228,axiom,
h(j(e21)) = e21,
file('ALG020+1.p',unknown),
[] ).
cnf(233,axiom,
h(j(e23)) = e23,
file('ALG020+1.p',unknown),
[] ).
cnf(234,plain,
h(op1(j(e21),j(e21))) = e23,
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[233]),195]),
[iquote('copy,233,demod,195')] ).
cnf(240,axiom,
j(h(e12)) = e12,
file('ALG020+1.p',unknown),
[] ).
cnf(260,plain,
( op2(e23,h(e10)) = h(e10)
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference(para_into,[status(thm),theory(equality)],[131,122]),
[iquote('para_into,131.1.1.1,122.4.1')] ).
cnf(344,plain,
( h(e10) = e21
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[127,228]),
[iquote('para_from,127.1.1,228.1.1.1')] ).
cnf(1124,plain,
( h(e11) = e21
| h(e10) = e21
| j(e21) = e12
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[344,228]),
[iquote('para_from,344.2.1,228.1.1.1')] ).
cnf(2214,plain,
( h(e12) = e21
| h(e11) = e21
| h(e10) = e21
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[1124,228]),
[iquote('para_from,1124.3.1,228.1.1.1')] ).
cnf(2898,plain,
( op2(e21,h(e11)) = h(e10)
| h(e12) = e21
| h(e10) = e21
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[2214,146]),
[iquote('para_from,2214.2.1,146.1.1.1')] ).
cnf(2915,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[260,122]),121])])])])]),
[iquote('para_into,260.1.1.2,122.4.1,demod,121,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(2930,plain,
( op2(h(e10),e21) = h(e10)
| h(e10) = e20
| h(e10) = e22 ),
inference(para_from,[status(thm),theory(equality)],[2915,131]),
[iquote('para_from,2915.2.1,131.1.1.2')] ).
cnf(3095,plain,
( h(e10) = e23
| h(e10) = e20
| h(e10) = e22 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2930,2915]),101])])]),
[iquote('para_into,2930.1.1.1,2915.2.1,demod,101,factor_simp,factor_simp')] ).
cnf(3109,plain,
( h(e10) = e20
| h(e10) = e22 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[3095,2915]),22])])]),
[iquote('para_into,3095.1.1,2915.2.1,unit_del,22,factor_simp,factor_simp')] ).
cnf(3141,plain,
( op2(h(e10),e22) = h(e10)
| h(e10) = e20 ),
inference(para_from,[status(thm),theory(equality)],[3109,131]),
[iquote('para_from,3109.2.1,131.1.1.2')] ).
cnf(3240,plain,
( h(e10) = e23
| h(e10) = e20 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3141,3109]),111])]),
[iquote('para_into,3141.1.1.1,3109.2.1,demod,111,factor_simp')] ).
cnf(3250,plain,
h(e10) = e20,
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[3240,3109]),24])]),
[iquote('para_into,3240.1.1,3109.2.1,unit_del,24,factor_simp')] ).
cnf(3261,plain,
( h(e12) = e21
| h(e11) = e21
| j(e21) = e13 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3240,2214]),3250]),18,14]),
[iquote('para_into,3240.2.1,2214.3.1,demod,3250,unit_del,18,14')] ).
cnf(3284,plain,
( op2(e21,h(e11)) = e20
| h(e12) = e21
| j(e21) = e13 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2898]),3250,3250]),14]),
[iquote('back_demod,2898,demod,3250,3250,unit_del,14')] ).
cnf(3370,plain,
op2(h(e12),h(e12)) = e20,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[161]),3250]),
[iquote('back_demod,161,demod,3250')] ).
cnf(3499,plain,
( h(e12) = e21
| j(e21) = e13 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3284,3261]),101]),18])])]),
[iquote('para_into,3284.1.1.2,3261.2.1,demod,101,unit_del,18,factor_simp,factor_simp')] ).
cnf(3503,plain,
( op2(h(e12),e21) = e20
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[3499,3370]),
[iquote('para_from,3499.1.1,3370.1.1.2')] ).
cnf(3505,plain,
( j(e21) = e12
| j(e21) = e13 ),
inference(para_from,[status(thm),theory(equality)],[3499,240]),
[iquote('para_from,3499.1.1,240.1.1.1')] ).
cnf(3531,plain,
( h(op1(e13,j(e21))) = e23
| j(e21) = e12 ),
inference(para_from,[status(thm),theory(equality)],[3505,234]),
[iquote('para_from,3505.2.1,234.1.1.1.1')] ).
cnf(3534,plain,
j(e21) = e13,
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3503,3499]),101]),18])]),
[iquote('para_into,3503.1.1.1,3499.1.1,demod,101,unit_del,18,factor_simp')] ).
cnf(3538,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3531]),3534,89,3250,3534]),18,12]),
[iquote('back_demod,3531,demod,3534,89,3250,3534,unit_del,18,12')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n004.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 03:46:36 EDT 2022
% 0.14/0.33 % CPUTime :
% 1.90/2.09 ----- Otter 3.3f, August 2004 -----
% 1.90/2.09 The process was started by sandbox2 on n004.cluster.edu,
% 1.90/2.09 Wed Jul 27 03:46:36 2022
% 1.90/2.09 The command was "./otter". The process ID is 22872.
% 1.90/2.09
% 1.90/2.09 set(prolog_style_variables).
% 1.90/2.09 set(auto).
% 1.90/2.09 dependent: set(auto1).
% 1.90/2.09 dependent: set(process_input).
% 1.90/2.09 dependent: clear(print_kept).
% 1.90/2.09 dependent: clear(print_new_demod).
% 1.90/2.09 dependent: clear(print_back_demod).
% 1.90/2.09 dependent: clear(print_back_sub).
% 1.90/2.09 dependent: set(control_memory).
% 1.90/2.09 dependent: assign(max_mem, 12000).
% 1.90/2.09 dependent: assign(pick_given_ratio, 4).
% 1.90/2.09 dependent: assign(stats_level, 1).
% 1.90/2.09 dependent: assign(max_seconds, 10800).
% 1.90/2.09 clear(print_given).
% 1.90/2.09
% 1.90/2.09 formula_list(usable).
% 1.90/2.09 all A (A=A).
% 1.90/2.09 e10!=e11.
% 1.90/2.09 e10!=e12.
% 1.90/2.09 e10!=e13.
% 1.90/2.09 e11!=e12.
% 1.90/2.09 e11!=e13.
% 1.90/2.09 e12!=e13.
% 1.90/2.09 e20!=e21.
% 1.90/2.09 e20!=e22.
% 1.90/2.09 e20!=e23.
% 1.90/2.09 e21!=e22.
% 1.90/2.09 e21!=e23.
% 1.90/2.09 e22!=e23.
% 1.90/2.09 e10!=e20.
% 1.90/2.09 e10!=e21.
% 1.90/2.09 e10!=e22.
% 1.90/2.09 e10!=e23.
% 1.90/2.09 e11!=e20.
% 1.90/2.09 e11!=e21.
% 1.90/2.09 e11!=e22.
% 1.90/2.09 e11!=e23.
% 1.90/2.09 e12!=e20.
% 1.90/2.09 e12!=e21.
% 1.90/2.09 e12!=e22.
% 1.90/2.09 e12!=e23.
% 1.90/2.09 e13!=e20.
% 1.90/2.09 e13!=e21.
% 1.90/2.09 e13!=e22.
% 1.90/2.09 e13!=e23.
% 1.90/2.09 op1(e10,e10)=e10.
% 1.90/2.09 op1(e10,e11)=e11.
% 1.90/2.09 op1(e10,e12)=e12.
% 1.90/2.09 op1(e10,e13)=e13.
% 1.90/2.09 op1(e11,e10)=e11.
% 1.90/2.09 op1(e11,e11)=e10.
% 1.90/2.09 op1(e11,e12)=e13.
% 1.90/2.09 op1(e11,e13)=e12.
% 1.90/2.09 op1(e12,e10)=e12.
% 1.90/2.09 op1(e12,e11)=e13.
% 1.90/2.09 op1(e12,e12)=e10.
% 1.90/2.09 op1(e12,e13)=e11.
% 1.90/2.09 op1(e13,e10)=e13.
% 1.90/2.09 op1(e13,e11)=e12.
% 1.90/2.09 op1(e13,e12)=e11.
% 1.90/2.09 op1(e13,e13)=e10.
% 1.90/2.09 op2(e20,e20)=e20.
% 1.90/2.09 op2(e20,e21)=e21.
% 1.90/2.09 op2(e20,e22)=e22.
% 1.90/2.09 op2(e20,e23)=e23.
% 1.90/2.09 op2(e21,e20)=e21.
% 1.90/2.09 op2(e21,e21)=e23.
% 1.90/2.09 op2(e21,e22)=e20.
% 1.90/2.09 op2(e21,e23)=e22.
% 1.90/2.09 op2(e22,e20)=e22.
% 1.90/2.09 op2(e22,e21)=e20.
% 1.90/2.09 op2(e22,e22)=e23.
% 1.90/2.09 op2(e22,e23)=e21.
% 1.90/2.09 op2(e23,e20)=e23.
% 1.90/2.09 op2(e23,e21)=e22.
% 1.90/2.09 op2(e23,e22)=e21.
% 1.90/2.09 op2(e23,e23)=e20.
% 1.90/2.09 -((h(e10)=e20|h(e10)=e21|h(e10)=e22|h(e10)=e23)& (h(e11)=e20|h(e11)=e21|h(e11)=e22|h(e11)=e23)& (h(e12)=e20|h(e12)=e21|h(e12)=e22|h(e12)=e23)& (h(e13)=e20|h(e13)=e21|h(e13)=e22|h(e13)=e23)& (j(e20)=e10|j(e20)=e11|j(e20)=e12|j(e20)=e13)& (j(e21)=e10|j(e21)=e11|j(e21)=e12|j(e21)=e13)& (j(e22)=e10|j(e22)=e11|j(e22)=e12|j(e22)=e13)& (j(e23)=e10|j(e23)=e11|j(e23)=e12|j(e23)=e13)-> -(h(op1(e10,e10))=op2(h(e10),h(e10))&h(op1(e10,e11))=op2(h(e10),h(e11))&h(op1(e10,e12))=op2(h(e10),h(e12))&h(op1(e10,e13))=op2(h(e10),h(e13))&h(op1(e11,e10))=op2(h(e11),h(e10))&h(op1(e11,e11))=op2(h(e11),h(e11))&h(op1(e11,e12))=op2(h(e11),h(e12))&h(op1(e11,e13))=op2(h(e11),h(e13))&h(op1(e12,e10))=op2(h(e12),h(e10))&h(op1(e12,e11))=op2(h(e12),h(e11))&h(op1(e12,e12))=op2(h(e12),h(e12))&h(op1(e12,e13))=op2(h(e12),h(e13))&h(op1(e13,e10))=op2(h(e13),h(e10))&h(op1(e13,e11))=op2(h(e13),h(e11))&h(op1(e13,e12))=op2(h(e13),h(e12))&h(op1(e13,e13))=op2(h(e13),h(e13))&j(op2(e20,e20))=op1(j(e20),j(e20))&j(op2(e20,e21))=op1(j(e20),j(e21))&j(op2(e20,e22))=op1(j(e20),j(e22))&j(op2(e20,e23))=op1(j(e20),j(e23))&j(op2(e21,e20))=op1(j(e21),j(e20))&j(op2(e21,e21))=op1(j(e21),j(e21))&j(op2(e21,e22))=op1(j(e21),j(e22))&j(op2(e21,e23))=op1(j(e21),j(e23))&j(op2(e22,e20))=op1(j(e22),j(e20))&j(op2(e22,e21))=op1(j(e22),j(e21))&j(op2(e22,e22))=op1(j(e22),j(e22))&j(op2(e22,e23))=op1(j(e22),j(e23))&j(op2(e23,e20))=op1(j(e23),j(e20))&j(op2(e23,e21))=op1(j(e23),j(e21))&j(op2(e23,e22))=op1(j(e23),j(e22))&j(op2(e23,e23))=op1(j(e23),j(e23))&h(j(e20))=e20&h(j(e21))=e21&h(j(e22))=e22&h(j(e23))=e23&j(h(e10))=e10&j(h(e11))=e11&j(h(e12))=e12&j(h(e13))=e13)).
% 1.90/2.09 end_of_list.
% 1.90/2.09
% 1.90/2.09 -------> usable clausifies to:
% 1.90/2.09
% 1.90/2.09 list(usable).
% 1.90/2.09 0 [] A=A.
% 1.90/2.09 0 [] e10!=e11.
% 1.90/2.09 0 [] e10!=e12.
% 1.90/2.09 0 [] e10!=e13.
% 1.90/2.09 0 [] e11!=e12.
% 1.90/2.09 0 [] e11!=e13.
% 1.90/2.09 0 [] e12!=e13.
% 1.90/2.09 0 [] e20!=e21.
% 1.90/2.09 0 [] e20!=e22.
% 1.90/2.09 0 [] e20!=e23.
% 1.90/2.09 0 [] e21!=e22.
% 1.90/2.09 0 [] e21!=e23.
% 1.90/2.09 0 [] e22!=e23.
% 1.90/2.09 0 [] e10!=e20.
% 1.90/2.09 0 [] e10!=e21.
% 1.90/2.09 0 [] e10!=e22.
% 1.90/2.09 0 [] e10!=e23.
% 1.90/2.09 0 [] e11!=e20.
% 1.90/2.09 0 [] e11!=e21.
% 1.90/2.09 0 [] e11!=e22.
% 1.90/2.09 0 [] e11!=e23.
% 1.90/2.09 0 [] e12!=e20.
% 1.90/2.09 0 [] e12!=e21.
% 1.90/2.09 0 [] e12!=e22.
% 1.90/2.09 0 [] e12!=e23.
% 1.90/2.09 0 [] e13!=e20.
% 1.90/2.09 0 [] e13!=e21.
% 1.90/2.09 0 [] e13!=e22.
% 1.90/2.09 0 [] e13!=e23.
% 1.90/2.09 0 [] op1(e10,e10)=e10.
% 1.90/2.09 0 [] op1(e10,e11)=e11.
% 1.90/2.09 0 [] op1(e10,e12)=e12.
% 1.90/2.09 0 [] op1(e10,e13)=e13.
% 1.90/2.09 0 [] op1(e11,e10)=e11.
% 1.90/2.09 0 [] op1(e11,e11)=e10.
% 1.90/2.09 0 [] op1(e11,e12)=e13.
% 1.90/2.09 0 [] op1(e11,e13)=e12.
% 1.90/2.09 0 [] op1(e12,e10)=e12.
% 1.90/2.09 0 [] op1(e12,e11)=e13.
% 1.90/2.09 0 [] op1(e12,e12)=e10.
% 1.90/2.09 0 [] op1(e12,e13)=e11.
% 1.90/2.09 0 [] op1(e13,e10)=e13.
% 1.90/2.09 0 [] op1(e13,e11)=e12.
% 1.90/2.09 0 [] op1(e13,e12)=e11.
% 1.90/2.09 0 [] op1(e13,e13)=e10.
% 1.90/2.09 0 [] op2(e20,e20)=e20.
% 1.90/2.09 0 [] op2(e20,e21)=e21.
% 1.90/2.09 0 [] op2(e20,e22)=e22.
% 1.90/2.09 0 [] op2(e20,e23)=e23.
% 1.90/2.09 0 [] op2(e21,e20)=e21.
% 1.90/2.09 0 [] op2(e21,e21)=e23.
% 1.90/2.09 0 [] op2(e21,e22)=e20.
% 1.90/2.09 0 [] op2(e21,e23)=e22.
% 1.90/2.09 0 [] op2(e22,e20)=e22.
% 1.90/2.09 0 [] op2(e22,e21)=e20.
% 1.90/2.09 0 [] op2(e22,e22)=e23.
% 1.90/2.09 0 [] op2(e22,e23)=e21.
% 1.90/2.09 0 [] op2(e23,e20)=e23.
% 1.90/2.09 0 [] op2(e23,e21)=e22.
% 1.90/2.09 0 [] op2(e23,e22)=e21.
% 1.90/2.09 0 [] op2(e23,e23)=e20.
% 1.90/2.09 0 [] h(e10)=e20|h(e10)=e21|h(e10)=e22|h(e10)=e23.
% 1.90/2.09 0 [] h(e11)=e20|h(e11)=e21|h(e11)=e22|h(e11)=e23.
% 1.90/2.09 0 [] h(e12)=e20|h(e12)=e21|h(e12)=e22|h(e12)=e23.
% 1.90/2.09 0 [] h(e13)=e20|h(e13)=e21|h(e13)=e22|h(e13)=e23.
% 1.90/2.09 0 [] j(e20)=e10|j(e20)=e11|j(e20)=e12|j(e20)=e13.
% 1.90/2.09 0 [] j(e21)=e10|j(e21)=e11|j(e21)=e12|j(e21)=e13.
% 1.90/2.09 0 [] j(e22)=e10|j(e22)=e11|j(e22)=e12|j(e22)=e13.
% 1.90/2.09 0 [] j(e23)=e10|j(e23)=e11|j(e23)=e12|j(e23)=e13.
% 1.90/2.09 0 [] h(op1(e10,e10))=op2(h(e10),h(e10)).
% 1.90/2.09 0 [] h(op1(e10,e11))=op2(h(e10),h(e11)).
% 1.90/2.09 0 [] h(op1(e10,e12))=op2(h(e10),h(e12)).
% 1.90/2.09 0 [] h(op1(e10,e13))=op2(h(e10),h(e13)).
% 1.90/2.09 0 [] h(op1(e11,e10))=op2(h(e11),h(e10)).
% 1.90/2.09 0 [] h(op1(e11,e11))=op2(h(e11),h(e11)).
% 1.90/2.09 0 [] h(op1(e11,e12))=op2(h(e11),h(e12)).
% 1.90/2.09 0 [] h(op1(e11,e13))=op2(h(e11),h(e13)).
% 1.90/2.09 0 [] h(op1(e12,e10))=op2(h(e12),h(e10)).
% 1.90/2.09 0 [] h(op1(e12,e11))=op2(h(e12),h(e11)).
% 1.90/2.09 0 [] h(op1(e12,e12))=op2(h(e12),h(e12)).
% 1.90/2.09 0 [] h(op1(e12,e13))=op2(h(e12),h(e13)).
% 1.90/2.09 0 [] h(op1(e13,e10))=op2(h(e13),h(e10)).
% 1.90/2.09 0 [] h(op1(e13,e11))=op2(h(e13),h(e11)).
% 1.90/2.09 0 [] h(op1(e13,e12))=op2(h(e13),h(e12)).
% 1.90/2.09 0 [] h(op1(e13,e13))=op2(h(e13),h(e13)).
% 1.90/2.09 0 [] j(op2(e20,e20))=op1(j(e20),j(e20)).
% 1.90/2.09 0 [] j(op2(e20,e21))=op1(j(e20),j(e21)).
% 1.90/2.09 0 [] j(op2(e20,e22))=op1(j(e20),j(e22)).
% 1.90/2.09 0 [] j(op2(e20,e23))=op1(j(e20),j(e23)).
% 1.90/2.09 0 [] j(op2(e21,e20))=op1(j(e21),j(e20)).
% 1.90/2.09 0 [] j(op2(e21,e21))=op1(j(e21),j(e21)).
% 1.90/2.09 0 [] j(op2(e21,e22))=op1(j(e21),j(e22)).
% 1.90/2.09 0 [] j(op2(e21,e23))=op1(j(e21),j(e23)).
% 1.90/2.09 0 [] j(op2(e22,e20))=op1(j(e22),j(e20)).
% 1.90/2.09 0 [] j(op2(e22,e21))=op1(j(e22),j(e21)).
% 1.90/2.09 0 [] j(op2(e22,e22))=op1(j(e22),j(e22)).
% 1.90/2.09 0 [] j(op2(e22,e23))=op1(j(e22),j(e23)).
% 1.90/2.09 0 [] j(op2(e23,e20))=op1(j(e23),j(e20)).
% 1.90/2.09 0 [] j(op2(e23,e21))=op1(j(e23),j(e21)).
% 1.90/2.09 0 [] j(op2(e23,e22))=op1(j(e23),j(e22)).
% 1.90/2.09 0 [] j(op2(e23,e23))=op1(j(e23),j(e23)).
% 1.90/2.09 0 [] h(j(e20))=e20.
% 1.90/2.09 0 [] h(j(e21))=e21.
% 1.90/2.09 0 [] h(j(e22))=e22.
% 1.90/2.09 0 [] h(j(e23))=e23.
% 1.90/2.09 0 [] j(h(e10))=e10.
% 1.90/2.09 0 [] j(h(e11))=e11.
% 1.90/2.09 0 [] j(h(e12))=e12.
% 1.90/2.09 0 [] j(h(e13))=e13.
% 1.90/2.09 end_of_list.
% 1.90/2.09
% 1.90/2.09 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.90/2.09
% 1.90/2.09 This ia a non-Horn set with equality. The strategy will be
% 1.90/2.09 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.09 deletion, with positive clauses in sos and nonpositive
% 1.90/2.09 clauses in usable.
% 1.90/2.09
% 1.90/2.09 dependent: set(knuth_bendix).
% 1.90/2.09 dependent: set(anl_eq).
% 1.90/2.09 dependent: set(para_from).
% 1.90/2.09 dependent: set(para_into).
% 1.90/2.09 dependent: clear(para_from_right).
% 1.90/2.09 dependent: clear(para_into_right).
% 1.90/2.09 dependent: set(para_from_vars).
% 1.90/2.09 dependent: set(eq_units_both_ways).
% 1.90/2.09 dependent: set(dynamic_demod_all).
% 1.90/2.09 dependent: set(dynamic_demod).
% 1.90/2.09 dependent: set(order_eq).
% 1.90/2.09 dependent: set(back_demod).
% 1.90/2.09 dependent: set(lrpo).
% 1.90/2.09 dependent: set(hyper_res).
% 1.90/2.09 dependent: set(unit_deletion).
% 1.90/2.09 dependent: set(factor).
% 1.90/2.09
% 1.90/2.09 ------------> process usable:
% 1.90/2.09 ** KEPT (pick-wt=3): 2 [copy,1,flip.1] e11!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 4 [copy,3,flip.1] e12!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 6 [copy,5,flip.1] e13!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 8 [copy,7,flip.1] e12!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 10 [copy,9,flip.1] e13!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 12 [copy,11,flip.1] e13!=e12.
% 1.90/2.09 ** KEPT (pick-wt=3): 14 [copy,13,flip.1] e21!=e20.
% 1.90/2.09 ** KEPT (pick-wt=3): 16 [copy,15,flip.1] e22!=e20.
% 1.90/2.09 ** KEPT (pick-wt=3): 18 [copy,17,flip.1] e23!=e20.
% 1.90/2.09 ** KEPT (pick-wt=3): 20 [copy,19,flip.1] e22!=e21.
% 1.90/2.09 ** KEPT (pick-wt=3): 22 [copy,21,flip.1] e23!=e21.
% 1.90/2.09 ** KEPT (pick-wt=3): 24 [copy,23,flip.1] e23!=e22.
% 1.90/2.09 ** KEPT (pick-wt=3): 26 [copy,25,flip.1] e20!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 28 [copy,27,flip.1] e21!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 30 [copy,29,flip.1] e22!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 32 [copy,31,flip.1] e23!=e10.
% 1.90/2.09 ** KEPT (pick-wt=3): 34 [copy,33,flip.1] e20!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 36 [copy,35,flip.1] e21!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 38 [copy,37,flip.1] e22!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 40 [copy,39,flip.1] e23!=e11.
% 1.90/2.09 ** KEPT (pick-wt=3): 42 [copy,41,flip.1] e20!=e12.
% 1.90/2.09 ** KEPT (pick-wt=3): 44 [copy,43,flip.1] e21!=e12.
% 1.90/2.09 ** KEPT (pick-wt=3): 46 [copy,45,flip.1] e22!=e12.
% 1.90/2.09 ** KEPT (pick-wt=3): 48 [copy,47,flip.1] e23!=e12.
% 1.90/2.09 ** KEPT (pick-wt=3): 50 [copy,49,flip.1] e20!=e13.
% 1.90/2.09 ** KEPT (pick-wt=3): 52 [copy,51,flip.1] e21!=e13.
% 1.90/2.09 ** KEPT (pick-wt=3): 54 [copy,53,flip.1] e22!=e13.
% 1.90/2.09 ** KEPT (pick-wt=3): 56 [copy,55,flip.1] e23!=e13.
% 1.90/2.09
% 1.90/2.09 ------------> process sos:
% 1.90/2.09 ** KEPT (pick-wt=3): 57 [] A=A.
% 1.90/2.09 ** KEPT (pick-wt=5): 58 [] op1(e10,e10)=e10.
% 1.90/2.09 ---> New Demodulator: 59 [new_demod,58] op1(e10,e10)=e10.
% 1.90/2.09 ** KEPT (pick-wt=5): 60 [] op1(e10,e11)=e11.
% 1.90/2.09 ---> New Demodulator: 61 [new_demod,60] op1(e10,e11)=e11.
% 1.90/2.09 ** KEPT (pick-wt=5): 62 [] op1(e10,e12)=e12.
% 1.90/2.09 ---> New Demodulator: 63 [new_demod,62] op1(e10,e12)=e12.
% 1.90/2.09 ** KEPT (pick-wt=5): 64 [] op1(e10,e13)=e13.
% 1.90/2.09 ---> New Demodulator: 65 [new_demod,64] op1(e10,e13)=e13.
% 1.90/2.09 ** KEPT (pick-wt=5): 66 [] op1(e11,e10)=e11.
% 1.90/2.09 ---> New Demodulator: 67 [new_demod,66] op1(e11,e10)=e11.
% 1.90/2.09 ** KEPT (pick-wt=5): 68 [] op1(e11,e11)=e10.
% 1.90/2.09 ---> New Demodulator: 69 [new_demod,68] op1(e11,e11)=e10.
% 1.90/2.09 ** KEPT (pick-wt=5): 70 [] op1(e11,e12)=e13.
% 1.90/2.09 ---> New Demodulator: 71 [new_demod,70] op1(e11,e12)=e13.
% 1.90/2.09 ** KEPT (pick-wt=5): 72 [] op1(e11,e13)=e12.
% 1.90/2.09 ---> New Demodulator: 73 [new_demod,72] op1(e11,e13)=e12.
% 1.90/2.09 ** KEPT (pick-wt=5): 74 [] op1(e12,e10)=e12.
% 1.90/2.09 ---> New Demodulator: 75 [new_demod,74] op1(e12,e10)=e12.
% 1.90/2.09 ** KEPT (pick-wt=5): 76 [] op1(e12,e11)=e13.
% 1.90/2.09 ---> New Demodulator: 77 [new_demod,76] op1(e12,e11)=e13.
% 1.90/2.09 ** KEPT (pick-wt=5): 78 [] op1(e12,e12)=e10.
% 1.90/2.09 ---> New Demodulator: 79 [new_demod,78] op1(e12,e12)=e10.
% 1.90/2.09 ** KEPT (pick-wt=5): 80 [] op1(e12,e13)=e11.
% 1.90/2.09 ---> New Demodulator: 81 [new_demod,80] op1(e12,e13)=e11.
% 1.90/2.09 ** KEPT (pick-wt=5): 82 [] op1(e13,e10)=e13.
% 1.90/2.09 ---> New Demodulator: 83 [new_demod,82] op1(e13,e10)=e13.
% 1.90/2.09 ** KEPT (pick-wt=5): 84 [] op1(e13,e11)=e12.
% 1.90/2.09 ---> New Demodulator: 85 [new_demod,84] op1(e13,e11)=e12.
% 1.90/2.09 ** KEPT (pick-wt=5): 86 [] op1(e13,e12)=e11.
% 1.90/2.09 ---> New Demodulator: 87 [new_demod,86] op1(e13,e12)=e11.
% 1.90/2.09 ** KEPT (pick-wt=5): 88 [] op1(e13,e13)=e10.
% 1.90/2.09 ---> New Demodulator: 89 [new_demod,88] op1(e13,e13)=e10.
% 1.90/2.09 ** KEPT (pick-wt=5): 90 [] op2(e20,e20)=e20.
% 1.90/2.09 ---> New Demodulator: 91 [new_demod,90] op2(e20,e20)=e20.
% 1.90/2.09 ** KEPT (pick-wt=5): 92 [] op2(e20,e21)=e21.
% 1.90/2.09 ---> New Demodulator: 93 [new_demod,92] op2(e20,e21)=e21.
% 1.90/2.09 ** KEPT (pick-wt=5): 94 [] op2(e20,e22)=e22.
% 1.90/2.09 ---> New Demodulator: 95 [new_demod,94] op2(e20,e22)=e22.
% 1.90/2.09 ** KEPT (pick-wt=5): 96 [] op2(e20,e23)=e23.
% 1.90/2.09 ---> New Demodulator: 97 [new_demod,96] op2(e20,e23)=e23.
% 1.90/2.09 ** KEPT (pick-wt=5): 98 [] op2(e21,e20)=e21.
% 1.90/2.09 ---> New Demodulator: 99 [new_demod,98] op2(e21,e20)=e21.
% 1.90/2.09 ** KEPT (pick-wt=5): 100 [] op2(e21,e21)=e23.
% 1.90/2.09 ---> New Demodulator: 101 [new_demod,100] op2(e21,e21)=e23.
% 1.90/2.09 ** KEPT (pick-wt=5): 102 [] op2(e21,e22)=e20.
% 1.90/2.09 ---> New Demodulator: 103 [new_demod,102] op2(e21,e22)=e20.
% 1.90/2.09 ** KEPT (pick-wt=5): 104 [] op2(e21,e23)=e22.
% 1.90/2.09 ---> New Demodulator: 105 [new_demod,104] op2(e21,e23)=e22.
% 1.90/2.09 ** KEPT (pick-wt=5): 106 [] op2(e22,e20)=e22.
% 1.90/2.09 ---> New Demodulator: 107 [new_demod,106] op2(e22,e20)=e22.
% 1.90/2.09 ** KEPT (pick-wt=5): 108 [] op2(e22,e21)=e20.
% 1.90/2.09 ---> New Demodulator: 109 [new_demod,108] op2(e22,e21)=e20.
% 1.90/2.09 ** KEPT (pick-wt=5): 110 [] op2(e22,e22)=e23.
% 1.90/2.09 ---> New Demodulator: 111 [new_demod,110] op2(e22,e22)=e23.
% 1.90/2.09 ** KEPT (pick-wt=5): 112 [] op2(e22,e23)=e21.
% 1.90/2.09 ---> New Demodulator: 113 [new_demod,112] op2(e22,e23)=e21.
% 1.90/2.09 ** KEPT (pick-wt=5): 114 [] op2(e23,e20)=e23.
% 1.90/2.09 ---> New Demodulator: 115 [new_demod,114] op2(e23,e20)=e23.
% 1.90/2.09 ** KEPT (pick-wt=5): 116 [] op2(e23,e21)=e22.
% 1.90/2.09 ---> New Demodulator: 117 [new_demod,116] op2(e23,e21)=e22.
% 1.90/2.09 ** KEPT (pick-wt=5): 118 [] op2(e23,e22)=e21.
% 1.90/2.09 ---> New Demodulator: 119 [new_demod,118] op2(e23,e22)=e21.
% 1.90/2.09 ** KEPT (pick-wt=5): 120 [] op2(e23,e23)=e20.
% 1.90/2.09 ---> New Demodulator: 121 [new_demod,120] op2(e23,e23)=e20.
% 1.90/2.09 ** KEPT (pick-wt=16): 122 [] h(e10)=e20|h(e10)=e21|h(e10)=e22|h(e10)=e23.
% 1.90/2.09 ** KEPT (pick-wt=16): 123 [] h(e11)=e20|h(e11)=e21|h(e11)=e22|h(e11)=e23.
% 1.90/2.09 ** KEPT (pick-wt=16): 124 [] h(e12)=e20|h(e12)=e21|h(e12)=e22|h(e12)=e23.
% 1.90/2.09 ** KEPT (pick-wt=16): 125 [] h(e13)=e20|h(e13)=e21|h(e13)=e22|h(e13)=e23.
% 1.90/2.09 ** KEPT (pick-wt=16): 126 [] j(e20)=e10|j(e20)=e11|j(e20)=e12|j(e20)=e13.
% 1.90/2.09 ** KEPT (pick-wt=16): 127 [] j(e21)=e10|j(e21)=e11|j(e21)=e12|j(e21)=e13.
% 1.90/2.09 ** KEPT (pick-wt=16): 128 [] j(e22)=e10|j(e22)=e11|j(e22)=e12|j(e22)=e13.
% 1.90/2.09 ** KEPT (pick-wt=16): 129 [] j(e23)=e10|j(e23)=e11|j(e23)=e12|j(e23)=e13.
% 1.90/2.09 ** KEPT (pick-wt=8): 131 [copy,130,demod,59,flip.1] op2(h(e10),h(e10))=h(e10).
% 1.90/2.09 ---> New Demodulator: 132 [new_demod,131] op2(h(e10),h(e10))=h(e10).
% 1.90/2.09 ** KEPT (pick-wt=8): 134 [copy,133,demod,61,flip.1] op2(h(e10),h(e11))=h(e11).
% 1.90/2.09 ---> New Demodulator: 135 [new_demod,134] op2(h(e10),h(e11))=h(e11).
% 1.90/2.09 ** KEPT (pick-wt=8): 137 [copy,136,demod,63,flip.1] op2(h(e10),h(e12))=h(e12).
% 1.90/2.09 ---> New Demodulator: 138 [new_demod,137] op2(h(e10),h(e12))=h(e12).
% 1.90/2.09 ** KEPT (pick-wt=8): 140 [copy,139,demod,65,flip.1] op2(h(e10),h(e13))=h(e13).
% 1.90/2.09 ---> New Demodulator: 141 [new_demod,140] op2(h(e10),h(e13))=h(e13).
% 1.90/2.09 ** KEPT (pick-wt=8): 143 [copy,142,demod,67,flip.1] op2(h(e11),h(e10))=h(e11).
% 1.90/2.09 ---> New Demodulator: 144 [new_demod,143] op2(h(e11),h(e10))=h(e11).
% 1.90/2.09 ** KEPT (pick-wt=8): 146 [copy,145,demod,69,flip.1] op2(h(e11),h(e11))=h(e10).
% 1.90/2.09 ---> New Demodulator: 147 [new_demod,146] op2(h(e11),h(e11))=h(e10).
% 1.90/2.09 ** KEPT (pick-wt=8): 149 [copy,148,demod,71] h(e13)=op2(h(e11),h(e12)).
% 1.90/2.09 ---> New Demodulator: 150 [new_demod,149] h(e13)=op2(h(e11),h(e12)).
% 1.90/2.09 ** KEPT (pick-wt=11): 152 [copy,151,demod,73,150,flip.1] op2(h(e11),op2(h(e11),h(e12)))=h(e12).
% 1.90/2.09 ---> New Demodulator: 153 [new_demod,152] op2(h(e11),op2(h(e11),h(e12)))=h(e12).
% 1.90/2.09 ** KEPT (pick-wt=8): 155 [copy,154,demod,75,flip.1] op2(h(e12),h(e10))=h(e12).
% 1.90/2.09 ---> New Demodulator: 156 [new_demod,155] op2(h(e12),h(e10))=h(e12).
% 1.90/2.09 ** KEPT (pick-wt=11): 158 [copy,157,demod,77,150,flip.1] op2(h(e12),h(e11))=op2(h(e11),h(e12)).
% 1.90/2.09 ---> New Demodulator: 159 [new_demod,158] op2(h(e12),h(e11))=op2(h(e11),h(e12)).
% 1.90/2.09 ** KEPT (pick-wt=8): 161 [copy,160,demod,79,flip.1] op2(h(e12),h(e12))=h(e10).
% 1.90/2.09 ---> New Demodulator: 162 [new_demod,161] op2(h(e12),h(e12))=h(e10).
% 1.90/2.09 ** KEPT (pick-wt=11): 164 [copy,163,demod,81,150,flip.1] op2(h(e12),op2(h(e11),h(e12)))=h(e11).
% 1.90/2.09 ---> New Demodulator: 165 [new_demod,164] op2(h(e12),op2(h(e11),h(e12)))=h(e11).
% 1.90/2.09 ** KEPT (pick-wt=14): 167 [copy,166,demod,83,150,150,flip.1] op2(op2(h(e11),h(e12)),h(e10))=op2(h(e11),h(e12)).
% 1.90/2.09 ---> New Demodulator: 168 [new_demod,167] op2(op2(h(e11),h(e12)),h(e10))=op2(h(e11),h(e12)).
% 1.90/2.09 ** KEPT (pick-wt=11): 170 [copy,169,demod,85,150,flip.1] op2(op2(h(e11),h(e12)),h(e11))=h(e12).
% 1.90/2.09 ---> New Demodulator: 171 [new_demod,170] op2(op2(h(e11),h(e12)),h(e11))=h(e12).
% 1.90/2.09 ** KEPT (pick-wt=11): 173 [copy,172,demod,87,150,flip.1] op2(op2(h(e11),h(e12)),h(e12))=h(e11).
% 1.90/2.09 ---> New Demodulator: 174 [new_demod,173] op2(op2(h(e11),h(e12)),h(e12))=h(e11).
% 1.90/2.09 ** KEPT (pick-wt=14): 176 [copy,175,demod,89,150,150,flip.1] op2(op2(h(e11),h(e12)),op2(h(e11),h(e12)))=h(e10).
% 1.90/2.09 ---> New Demodulator: 177 [new_demod,176] op2(op2(h(e11),h(e12)),op2(h(e11),h(e12)))=h(e10).
% 1.90/2.09 ** KEPT (pick-wt=8): 179 [copy,178,demod,91,flip.1] op1(j(e20),j(e20))=j(e20).
% 1.90/2.09 ---> New Demodulator: 180 [new_demod,179] op1(j(e20),j(e20))=j(e20).
% 1.90/2.09 ** KEPT (pick-wt=8): 182 [copy,181,demod,93,flip.1] op1(j(e20),j(e21))=j(e21).
% 1.90/2.09 ---> New Demodulator: 183 [new_demod,182] op1(j(e20),j(e21))=j(e21).
% 1.90/2.09 ** KEPT (pick-wt=8): 185 [copy,184,demod,95,flip.1] op1(j(e20),j(e22))=j(e22).
% 1.90/2.09 ---> New Demodulator: 186 [new_demod,185] op1(j(e20),j(e22))=j(e22).
% 1.90/2.09 ** KEPT (pick-wt=8): 188 [copy,187,demod,97,flip.1] op1(j(e20),j(e23))=j(e23).
% 1.90/2.09 ---> New Demodulator: 189 [new_demod,188] op1(j(e20),j(e23))=j(e23).
% 1.90/2.09 ** KEPT (pick-wt=8): 191 [copy,190,demod,99,flip.1] op1(j(e21),j(e20))=j(e21).
% 1.90/2.09 ---> New Demodulator: 192 [new_demod,191] op1(j(e21),j(e20))=j(e21).
% 1.90/2.09 ** KEPT (pick-wt=8): 194 [copy,193,demod,101] j(e23)=op1(j(e21),j(e21)).
% 1.90/2.09 ---> New Demodulator: 195 [new_demod,194] j(e23)=op1(j(e21),j(e21)).
% 1.90/2.09 ** KEPT (pick-wt=8): 197 [copy,196,demod,103,flip.1] op1(j(e21),j(e22))=j(e20).
% 1.90/2.09 ---> New Demodulator: 198 [new_demod,197] op1(j(e21),j(e22))=j(e20).
% 1.90/2.09 ** KEPT (pick-wt=11): 200 [copy,199,demod,105,195] j(e22)=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ---> New Demodulator: 201 [new_demod,200] j(e22)=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ** KEPT (pick-wt=20): 203 [copy,202,demod,107,201,201,flip.1] op1(op1(j(e21),op1(j(e21),j(e21))),j(e20))=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ---> New Demodulator: 204 [new_demod,203] op1(op1(j(e21),op1(j(e21),j(e21))),j(e20))=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ** KEPT (pick-wt=14): 206 [copy,205,demod,109,201,flip.1] op1(op1(j(e21),op1(j(e21),j(e21))),j(e21))=j(e20).
% 1.90/2.09 ---> New Demodulator: 207 [new_demod,206] op1(op1(j(e21),op1(j(e21),j(e21))),j(e21))=j(e20).
% 1.90/2.09 ** KEPT (pick-wt=23): 209 [copy,208,demod,111,195,201,201,flip.1] op1(op1(j(e21),op1(j(e21),j(e21))),op1(j(e21),op1(j(e21),j(e21))))=op1(j(e21),j(e21)).
% 1.90/2.09 ---> New Demodulator: 210 [new_demod,209] op1(op1(j(e21),op1(j(e21),j(e21))),op1(j(e21),op1(j(e21),j(e21))))=op1(j(e21),j(e21)).
% 1.90/2.09 ** KEPT (pick-wt=17): 212 [copy,211,demod,113,201,195,flip.1] op1(op1(j(e21),op1(j(e21),j(e21))),op1(j(e21),j(e21)))=j(e21).
% 1.90/2.09 ---> New Demodulator: 213 [new_demod,212] op1(op1(j(e21),op1(j(e21),j(e21))),op1(j(e21),j(e21)))=j(e21).
% 1.90/2.09 ** KEPT (pick-wt=14): 215 [copy,214,demod,115,195,195,flip.1] op1(op1(j(e21),j(e21)),j(e20))=op1(j(e21),j(e21)).
% 1.90/2.09 ---> New Demodulator: 216 [new_demod,215] op1(op1(j(e21),j(e21)),j(e20))=op1(j(e21),j(e21)).
% 1.90/2.09 ** KEPT (pick-wt=17): 218 [copy,217,demod,117,201,195,flip.1] op1(op1(j(e21),j(e21)),j(e21))=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ---> New Demodulator: 219 [new_demod,218] op1(op1(j(e21),j(e21)),j(e21))=op1(j(e21),op1(j(e21),j(e21))).
% 1.90/2.09 ** KEPT (pick-wt=17): 221 [copy,220,demod,119,195,201,flip.1] op1(op1(j(e21),j(e21)),op1(j(e21),op1(j(e21),j(e21))))=j(e21).
% 1.90/2.09 ---> New Demodulator: 222 [new_demod,221] op1(op1(j(e21),j(e21)),op1(j(e21),op1(j(e21),j(e21))))=j(e21).
% 1.90/2.09 ** KEPT (pick-wt=14): 224 [copy,223,demod,121,195,195,flip.1] op1(op1(j(e21),j(e21)),op1(j(e21),j(e21)))=j(e20).
% 1.90/2.09 ---> New Demodulator: 225 [new_demod,224] op1(op1(j(e21),j(e21)),op1(j(e21),j(e21)))=j(e20).
% 1.90/2.09 ** KEPT (pick-wt=5): 226 [] h(j(e20))=e20.
% 1.90/2.09 ---> New Demodulator: 227 [new_demod,226] h(j(e20))=e20.
% 1.90/2.09 ** KEPT (pick-wt=5): 228 [] h(j(e21))=e21.
% 1.90/2.09 ---> New Demodulator: 229 [new_demod,228] h(j(e21))=e21.
% 1.90/2.09 ** KEPT (pick-wt=11): 231 [copy,230,demod,201] h(op1(j(e21),op1(j(e21),j(e21))))=e22.
% 1.90/2.09 ---> New Demodulator: 232 [new_demod,231] h(op1(j(e21),op1(j(e21),j(e21))))=e22.
% 1.90/2.09 ** KEPT (pick-wt=8): 234 [copy,233,demod,195] h(op1(j(e21),j(e21)))=e23.
% 1.90/2.09 ---> New Demodulator: 235 [new_demod,234] h(op1(j(e21),j(e21)))=e23.
% 1.90/2.09 ** KEPT (pick-wt=5): 236 [] j(h(e10))=e10.
% 1.90/2.09 ---> New Demodulator: 237 [new_demod,236] j(h(e10))=e10.
% 1.90/2.09 ** KEPT (pick-wt=5): 238 [] j(h(e11))=e11.
% 1.90/2.09 ---> New Demodulator: 239 [new_demod,238] j(h(e11))=e11.
% 1.90/2.09 ** KEPT (pick-wt=5): 240 [] j(h(e12))=e12.
% 1.90/2.09 ---> New Demodulator: 241 [new_demod,240] j(h(e12))=e12.
% 1.90/2.09 ** KEPT (pick-wt=8): 243 [copy,242,demod,150] j(op2(h(e11),h(e12)))=e13.
% 1.90/2.09 ---> New Demodulator: 244 [new_demod,243] j(op2(h(e11),h(e12)))=e13.
% 1.90/2.09 Following clause subsumed by 57 during input processing: 0 [copy,57,flip.1] A=A.
% 1.90/2.09 >>>> Starting back demodulation with 59.
% 1.90/2.09 >>>> Starting back demodulation with 61.
% 1.90/2.09 >>>> Starting back demodulation with 63.
% 1.90/2.09 >>>> Starting back demodulation with 65.
% 1.90/2.09 >>>> Starting back demodulation with 67.
% 1.90/2.09 >>>> Starting back demodulation with 69.
% 1.90/2.09 >>>> Starting back demodulation with 71.
% 1.90/2.09 >>>> Starting back demodulation with 73.
% 1.90/2.09 >>>> Starting back demodulation with 75.
% 1.90/2.09 >>>> Starting back demodulation with 77.
% 1.90/2.09 >>>> Starting back demodulation with 79.
% 1.90/2.09 >>>> Starting back demodulation with 81.
% 1.90/2.09 >>>> Starting back demodulation with 83.
% 1.90/2.09 >>>> Starting back demodulation with 85.
% 1.90/2.09 >>>> Starting back demodulation with 87.
% 1.90/2.09 >>>> Starting back demodulation with 89.
% 1.90/2.09 >>>> Starting back demodulation with 91.
% 1.90/2.09 >>>> Starting back demodulation with 93.
% 1.90/2.09 >>>> Starting back demodulation with 95.
% 1.90/2.09 >>>> Starting back demodulation with 97.
% 1.90/2.09 >>>> Starting back demodulation with 99.
% 1.90/2.09 >>>> Starting back demodulation with 101.
% 1.90/2.09 >>>> Starting back demodulation with 103.
% 1.90/2.09 >>>> Starting back demodulation with 105.
% 1.90/2.09 >>>> Starting back demodulation with 107.
% 1.90/2.09 >>>> Starting back demodulation with 109.
% 1.90/2.09 >>>> Starting back demodulation with 111.
% 1.90/2.09 >>>> Starting back demodulation with 113.
% 1.90/2.09 >>>> Starting back demodulation with 115.
% 1.90/2.09 >>>> Starting back demodulation with 117.
% 1.90/2.09 >>>> Starting back demodulation with 119.
% 1.90/2.09 >>>> Starting back demodulation with 121.
% 1.90/2.09 >>>> Starting back demodulation with 132.
% 2.56/2.74 >>>> Starting back demodulation with 135.
% 2.56/2.74 >>>> Starting back demodulation with 138.
% 2.56/2.74 >>>> Starting back demodulation with 141.
% 2.56/2.74 >>>> Starting back demodulation with 144.
% 2.56/2.74 >>>> Starting back demodulation with 147.
% 2.56/2.74 >>>> Starting back demodulation with 150.
% 2.56/2.74 >> back demodulating 140 with 150.
% 2.56/2.74 >> back demodulating 125 with 150.
% 2.56/2.74 >>>> Starting back demodulation with 153.
% 2.56/2.74 >>>> Starting back demodulation with 156.
% 2.56/2.74 >>>> Starting back demodulation with 159.
% 2.56/2.74 >>>> Starting back demodulation with 162.
% 2.56/2.74 >>>> Starting back demodulation with 165.
% 2.56/2.74 >>>> Starting back demodulation with 168.
% 2.56/2.74 >>>> Starting back demodulation with 171.
% 2.56/2.74 >>>> Starting back demodulation with 174.
% 2.56/2.74 >>>> Starting back demodulation with 177.
% 2.56/2.74 >>>> Starting back demodulation with 180.
% 2.56/2.74 >>>> Starting back demodulation with 183.
% 2.56/2.74 >>>> Starting back demodulation with 186.
% 2.56/2.74 >>>> Starting back demodulation with 189.
% 2.56/2.74 >>>> Starting back demodulation with 192.
% 2.56/2.74 >>>> Starting back demodulation with 195.
% 2.56/2.74 >> back demodulating 188 with 195.
% 2.56/2.74 >> back demodulating 129 with 195.
% 2.56/2.74 >>>> Starting back demodulation with 198.
% 2.56/2.74 >>>> Starting back demodulation with 201.
% 2.56/2.74 >> back demodulating 197 with 201.
% 2.56/2.74 >> back demodulating 185 with 201.
% 2.56/2.74 >> back demodulating 128 with 201.
% 2.56/2.74 >>>> Starting back demodulation with 204.
% 2.56/2.74 >>>> Starting back demodulation with 207.
% 2.56/2.74 >>>> Starting back demodulation with 210.
% 2.56/2.74 >>>> Starting back demodulation with 213.
% 2.56/2.74 >>>> Starting back demodulation with 216.
% 2.56/2.74 >>>> Starting back demodulation with 219.
% 2.56/2.74 >>>> Starting back demodulation with 222.
% 2.56/2.74 >>>> Starting back demodulation with 225.
% 2.56/2.74 >>>> Starting back demodulation with 227.
% 2.56/2.74 >>>> Starting back demodulation with 229.
% 2.56/2.74 >>>> Starting back demodulation with 232.
% 2.56/2.74 >>>> Starting back demodulation with 235.
% 2.56/2.74 >>>> Starting back demodulation with 237.
% 2.56/2.74 >>>> Starting back demodulation with 239.
% 2.56/2.74 >>>> Starting back demodulation with 241.
% 2.56/2.74 >>>> Starting back demodulation with 244.
% 2.56/2.74 >>>> Starting back demodulation with 246.
% 2.56/2.74 >>>> Starting back demodulation with 249.
% 2.56/2.74 >>>> Starting back demodulation with 252.
% 2.56/2.74 >>>> Starting back demodulation with 254.
% 2.56/2.74
% 2.56/2.74 ======= end of input processing =======
% 2.56/2.74
% 2.56/2.74 =========== start of search ===========
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 19.
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 19.
% 2.56/2.74
% 2.56/2.74 sos_size=2594
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 18.
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 18.
% 2.56/2.74
% 2.56/2.74 sos_size=2658
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 14.
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Resetting weight limit to 14.
% 2.56/2.74
% 2.56/2.74 sos_size=574
% 2.56/2.74
% 2.56/2.74 -------- PROOF --------
% 2.56/2.74
% 2.56/2.74 -----> EMPTY CLAUSE at 0.65 sec ----> 3538 [back_demod,3531,demod,3534,89,3250,3534,unit_del,18,12] $F.
% 2.56/2.74
% 2.56/2.74 Length of proof is 30. Level of proof is 13.
% 2.56/2.74
% 2.56/2.74 ---------------- PROOF ----------------
% 2.56/2.74 % SZS status Theorem
% 2.56/2.74 % SZS output start Refutation
% See solution above
% 2.56/2.74 ------------ end of proof -------------
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Search stopped by max_proofs option.
% 2.56/2.74
% 2.56/2.74
% 2.56/2.74 Search stopped by max_proofs option.
% 2.56/2.74
% 2.56/2.74 ============ end of search ============
% 2.56/2.74
% 2.56/2.74 -------------- statistics -------------
% 2.56/2.74 clauses given 179
% 2.56/2.74 clauses generated 17525
% 2.56/2.74 clauses kept 3378
% 2.56/2.74 clauses forward subsumed 5248
% 2.56/2.74 clauses back subsumed 994
% 2.56/2.74 Kbytes malloced 4882
% 2.56/2.74
% 2.56/2.74 ----------- times (seconds) -----------
% 2.56/2.74 user CPU time 0.65 (0 hr, 0 min, 0 sec)
% 2.56/2.74 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.56/2.74 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.56/2.74
% 2.56/2.74 That finishes the proof of the theorem.
% 2.56/2.74
% 2.56/2.74 Process 22872 finished Wed Jul 27 03:46:38 2022
% 2.56/2.74 Otter interrupted
% 2.56/2.74 PROOF FOUND
%------------------------------------------------------------------------------