TSTP Solution File: GRP571-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 12:57:16 EDT 2022
% Result : Unsatisfiable 1.71s 1.96s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of clauses : 66 ( 66 unt; 0 nHn; 7 RR)
% Number of literals : 66 ( 65 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('GRP571-1.p',unknown),
[] ).
cnf(3,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B,
file('GRP571-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('GRP571-1.p',unknown),
[] ).
cnf(8,axiom,
inverse(A) = double_divide(A,identity),
file('GRP571-1.p',unknown),
[] ).
cnf(9,axiom,
identity = double_divide(A,inverse(A)),
file('GRP571-1.p',unknown),
[] ).
cnf(11,plain,
double_divide(A,double_divide(A,identity)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9]),8])]),
[iquote('copy,9,demod,8,flip.1')] ).
cnf(12,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),6,6,6,6])]),
[iquote('back_demod,1,demod,6,6,6,6,flip.1')] ).
cnf(18,plain,
double_divide(double_divide(A,identity),double_divide(identity,identity)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3,11]),11]),
[iquote('para_into,3.1.1.1.2.1,10.1.1,demod,11')] ).
cnf(19,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity))),
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.1.2.1,3.1.1')] ).
cnf(20,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[19])]),
[iquote('copy,19,flip.1')] ).
cnf(22,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(A,identity),
inference(para_from,[status(thm),theory(equality)],[18,3]),
[iquote('para_from,17.1.1,3.1.1.1.2.1')] ).
cnf(25,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[20]),22]),
[iquote('back_demod,20,demod,22')] ).
cnf(29,plain,
double_divide(double_divide(identity,A),double_divide(identity,identity)) = double_divide(double_divide(A,identity),identity),
inference(para_into,[status(thm),theory(equality)],[22,18]),
[iquote('para_into,21.1.1.1.2,17.1.1')] ).
cnf(31,plain,
double_divide(identity,identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[22,11]),18])]),
[iquote('para_into,21.1.1.1.2,10.1.1,demod,18,flip.1')] ).
cnf(32,plain,
double_divide(double_divide(A,identity),identity) = double_divide(double_divide(identity,A),identity),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),31]),
[iquote('copy,29,flip.1,demod,31')] ).
cnf(39,plain,
double_divide(double_divide(A,identity),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),31]),
[iquote('back_demod,17,demod,31')] ).
cnf(42,plain,
double_divide(double_divide(identity,A),identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[32])]),39]),
[iquote('copy,32,flip.1,demod,39')] ).
cnf(46,plain,
double_divide(double_divide(A,identity),double_divide(double_divide(B,A),identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,39]),31]),
[iquote('para_into,25.1.1.2.1.2,38.1.1,demod,31')] ).
cnf(48,plain,
double_divide(identity,A) = double_divide(A,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,31]),31,39]),
[iquote('para_into,25.1.1.2.1.2,30.1.1,demod,31,39')] ).
cnf(55,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,double_divide(C,identity))),C)) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[25,39]),
[iquote('para_into,25.1.1.2.2,38.1.1')] ).
cnf(59,plain,
double_divide(A,identity) = double_divide(identity,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[48])]),
[iquote('copy,48,flip.1')] ).
cnf(77,plain,
double_divide(identity,double_divide(identity,A)) = A,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[59,42])]),
[iquote('para_into,59.1.1,42.1.1,flip.1')] ).
cnf(84,plain,
double_divide(A,double_divide(double_divide(B,double_divide(identity,A)),identity)) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[59,25]),31]),
[iquote('para_from,59.1.1,25.1.1.2.1.2,demod,31')] ).
cnf(87,plain,
double_divide(double_divide(A,B),A) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[46,46]),39,39,39]),
[iquote('para_into,46.1.1.2.1,46.1.1,demod,39,39,39')] ).
cnf(90,plain,
double_divide(double_divide(A,identity),double_divide(identity,double_divide(B,A))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[46,59]),
[iquote('para_into,46.1.1.2,59.1.1')] ).
cnf(96,plain,
double_divide(identity,double_divide(double_divide(A,B),B)) = double_divide(A,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[77,25]),87]),
[iquote('para_from,76.1.1,25.1.1.2.1.2,demod,87')] ).
cnf(149,plain,
double_divide(A,double_divide(B,A)) = B,
inference(para_into,[status(thm),theory(equality)],[87,87]),
[iquote('para_into,86.1.1.1,86.1.1')] ).
cnf(152,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(double_divide(A,B),identity),
inference(para_into,[status(thm),theory(equality)],[87,46]),
[iquote('para_into,86.1.1.1,46.1.1')] ).
cnf(161,plain,
double_divide(double_divide(A,B),identity) = double_divide(double_divide(A,identity),double_divide(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[152])]),
[iquote('copy,152,flip.1')] ).
cnf(186,plain,
double_divide(double_divide(A,B),identity) = double_divide(identity,double_divide(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[96,87])]),
[iquote('para_into,96.1.1.2.1,86.1.1,flip.1')] ).
cnf(204,plain,
double_divide(identity,double_divide(A,B)) = double_divide(double_divide(B,identity),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[161]),186]),
[iquote('back_demod,161,demod,186')] ).
cnf(218,plain,
double_divide(A,double_divide(identity,double_divide(double_divide(identity,A),B))) = double_divide(B,identity),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[84]),186]),
[iquote('back_demod,84,demod,186')] ).
cnf(226,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(a3,b3)),c3)) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[12]),186,186,186,186])]),
[iquote('back_demod,12,demod,186,186,186,186,flip.1')] ).
cnf(234,plain,
double_divide(double_divide(A,B),B) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[96,87]),186,77])]),
[iquote('para_from,96.1.1,86.1.1.1,demod,186,77,flip.1')] ).
cnf(236,plain,
double_divide(A,double_divide(A,B)) = B,
inference(para_into,[status(thm),theory(equality)],[234,149]),
[iquote('para_into,233.1.1.1,148.1.1')] ).
cnf(237,plain,
double_divide(A,B) = double_divide(B,A),
inference(para_into,[status(thm),theory(equality)],[234,87]),
[iquote('para_into,233.1.1.1,86.1.1')] ).
cnf(273,plain,
double_divide(A,double_divide(B,C)) = double_divide(identity,double_divide(double_divide(A,double_divide(C,identity)),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[55,234]),186]),
[iquote('para_into,55.1.1.2.1,233.1.1,demod,186')] ).
cnf(274,plain,
double_divide(A,double_divide(B,C)) = double_divide(identity,double_divide(B,double_divide(A,double_divide(C,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[55,87]),186]),
[iquote('para_into,55.1.1.2.1,86.1.1,demod,186')] ).
cnf(280,plain,
double_divide(identity,double_divide(A,double_divide(B,double_divide(C,identity)))) = double_divide(B,double_divide(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[274])]),
[iquote('copy,274,flip.1')] ).
cnf(284,plain,
double_divide(A,double_divide(identity,double_divide(B,double_divide(A,identity)))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[90,234]),
[iquote('para_into,90.1.1.1,233.1.1')] ).
cnf(288,plain,
double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))) = double_divide(B,identity),
inference(para_into,[status(thm),theory(equality)],[90,87]),
[iquote('para_into,90.1.1.1,86.1.1')] ).
cnf(319,plain,
double_divide(double_divide(identity,double_divide(A,B)),double_divide(A,identity)) = double_divide(identity,B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[204,149]),186])]),
[iquote('para_into,204.1.1.2,148.1.1,demod,186,flip.1')] ).
cnf(324,plain,
double_divide(identity,double_divide(double_divide(identity,A),B)) = double_divide(A,double_divide(identity,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[218,149]),186])]),
[iquote('para_into,218.1.1.2.2,148.1.1,demod,186,flip.1')] ).
cnf(328,plain,
double_divide(double_divide(a3,b3),double_divide(identity,c3)) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[226]),324]),
[iquote('back_demod,226,demod,324')] ).
cnf(373,plain,
double_divide(A,double_divide(B,identity)) = double_divide(identity,double_divide(B,double_divide(A,identity))),
inference(para_from,[status(thm),theory(equality)],[284,236]),
[iquote('para_from,284.1.1,235.1.1.2')] ).
cnf(375,plain,
double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(B,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[373])]),
[iquote('copy,373,flip.1')] ).
cnf(377,plain,
double_divide(A,double_divide(B,identity)) = double_divide(identity,double_divide(B,double_divide(identity,A))),
inference(para_from,[status(thm),theory(equality)],[288,236]),
[iquote('para_from,288.1.1,235.1.1.2')] ).
cnf(379,plain,
double_divide(double_divide(A,identity),B) = double_divide(identity,double_divide(A,double_divide(identity,B))),
inference(para_from,[status(thm),theory(equality)],[288,87]),
[iquote('para_from,288.1.1,86.1.1.1')] ).
cnf(380,plain,
double_divide(identity,double_divide(A,double_divide(identity,B))) = double_divide(B,double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[377])]),
[iquote('copy,377,flip.1')] ).
cnf(401,plain,
double_divide(A,double_divide(B,identity)) = double_divide(A,double_divide(identity,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[319,288]),149,236]),
[iquote('para_into,319.1.1.1.2,288.1.1,demod,149,236')] ).
cnf(407,plain,
double_divide(A,double_divide(identity,B)) = double_divide(A,double_divide(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[401])]),
[iquote('copy,401,flip.1')] ).
cnf(437,plain,
double_divide(double_divide(double_divide(identity,A),B),double_divide(A,identity)) = B,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[407,87])]),
[iquote('para_into,407.1.1,86.1.1,flip.1')] ).
cnf(459,plain,
double_divide(double_divide(identity,A),B) = double_divide(identity,double_divide(A,double_divide(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[437,149]),379])]),
[iquote('para_from,437.1.1,148.1.1.2,demod,379,flip.1')] ).
cnf(616,plain,
double_divide(double_divide(A,double_divide(B,identity)),C) = double_divide(identity,double_divide(double_divide(B,double_divide(A,identity)),double_divide(identity,C))),
inference(para_into,[status(thm),theory(equality)],[459,375]),
[iquote('para_into,458.1.1.1,375.1.1')] ).
cnf(620,plain,
double_divide(identity,double_divide(double_divide(A,double_divide(B,identity)),double_divide(identity,C))) = double_divide(double_divide(B,double_divide(A,identity)),C),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[616])]),
[iquote('copy,616,flip.1')] ).
cnf(862,plain,
double_divide(identity,double_divide(double_divide(A,B),C)) = double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[273,377]),234])]),
[iquote('para_into,273.1.1.2,377.1.1,demod,234,flip.1')] ).
cnf(871,plain,
double_divide(double_divide(A,B),C) = double_divide(C,double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[273,237]),862,379,236,236]),
[iquote('para_into,273.1.1,237.1.1,demod,862,379,236,236')] ).
cnf(872,plain,
double_divide(double_divide(double_divide(A,B),C),double_divide(B,A)) = C,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[273,87]),862,379,236,236])]),
[iquote('para_into,273.1.1,86.1.1,demod,862,379,236,236,flip.1')] ).
cnf(899,plain,
double_divide(double_divide(A,double_divide(B,identity)),C) = double_divide(B,double_divide(A,double_divide(identity,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[620]),862,236,379,236])]),
[iquote('back_demod,620,demod,862,236,379,236,flip.1')] ).
cnf(1040,plain,
double_divide(double_divide(A,B),C) = double_divide(double_divide(B,A),C),
inference(para_from,[status(thm),theory(equality)],[872,149]),
[iquote('para_from,872.1.1,148.1.1.2')] ).
cnf(1162,plain,
double_divide(double_divide(double_divide(A,B),C),D) = double_divide(double_divide(C,double_divide(B,A)),D),
inference(para_into,[status(thm),theory(equality)],[1040,1040]),
[iquote('para_into,1040.1.1.1,1040.1.1')] ).
cnf(1167,plain,
double_divide(double_divide(double_divide(A,B),C),D) = double_divide(A,double_divide(identity,double_divide(B,double_divide(C,double_divide(identity,D))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1040,274]),459,862,236,899])]),
[iquote('para_into,1040.1.1.1,274.1.1,demod,459,862,236,899,flip.1')] ).
cnf(1170,plain,
double_divide(double_divide(A,double_divide(B,C)),D) = double_divide(C,double_divide(identity,double_divide(B,double_divide(A,double_divide(identity,D))))),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1162])]),1167]),
[iquote('copy,1162,flip.1,demod,1167')] ).
cnf(1249,plain,
double_divide(identity,double_divide(A,double_divide(B,double_divide(C,D)))) = double_divide(identity,double_divide(D,double_divide(B,double_divide(C,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[280,380]),1170,149,379,236]),
[iquote('para_from,280.1.1,380.1.1.2.2,demod,1170,149,379,236')] ).
cnf(1335,plain,
double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[328,871]),459])]),
[iquote('para_into,328.1.1,871.1.1,demod,459,flip.1')] ).
cnf(1336,plain,
$false,
inference(binary,[status(thm)],[1335,1249]),
[iquote('binary,1335.1,1249.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 05:04:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.96 ----- Otter 3.3f, August 2004 -----
% 1.71/1.96 The process was started by sandbox on n012.cluster.edu,
% 1.71/1.96 Wed Jul 27 05:04:35 2022
% 1.71/1.96 The command was "./otter". The process ID is 31798.
% 1.71/1.96
% 1.71/1.96 set(prolog_style_variables).
% 1.71/1.96 set(auto).
% 1.71/1.96 dependent: set(auto1).
% 1.71/1.96 dependent: set(process_input).
% 1.71/1.96 dependent: clear(print_kept).
% 1.71/1.96 dependent: clear(print_new_demod).
% 1.71/1.96 dependent: clear(print_back_demod).
% 1.71/1.96 dependent: clear(print_back_sub).
% 1.71/1.96 dependent: set(control_memory).
% 1.71/1.96 dependent: assign(max_mem, 12000).
% 1.71/1.96 dependent: assign(pick_given_ratio, 4).
% 1.71/1.96 dependent: assign(stats_level, 1).
% 1.71/1.96 dependent: assign(max_seconds, 10800).
% 1.71/1.96 clear(print_given).
% 1.71/1.96
% 1.71/1.96 list(usable).
% 1.71/1.96 0 [] A=A.
% 1.71/1.96 0 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.71/1.96 0 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.71/1.96 0 [] inverse(A)=double_divide(A,identity).
% 1.71/1.96 0 [] identity=double_divide(A,inverse(A)).
% 1.71/1.96 0 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.71/1.96 end_of_list.
% 1.71/1.96
% 1.71/1.96 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.71/1.96
% 1.71/1.96 All clauses are units, and equality is present; the
% 1.71/1.96 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.71/1.96
% 1.71/1.96 dependent: set(knuth_bendix).
% 1.71/1.96 dependent: set(anl_eq).
% 1.71/1.96 dependent: set(para_from).
% 1.71/1.96 dependent: set(para_into).
% 1.71/1.96 dependent: clear(para_from_right).
% 1.71/1.96 dependent: clear(para_into_right).
% 1.71/1.96 dependent: set(para_from_vars).
% 1.71/1.96 dependent: set(eq_units_both_ways).
% 1.71/1.96 dependent: set(dynamic_demod_all).
% 1.71/1.96 dependent: set(dynamic_demod).
% 1.71/1.96 dependent: set(order_eq).
% 1.71/1.96 dependent: set(back_demod).
% 1.71/1.96 dependent: set(lrpo).
% 1.71/1.96
% 1.71/1.96 ------------> process usable:
% 1.71/1.96 ** KEPT (pick-wt=11): 1 [] multiply(multiply(a3,b3),c3)!=multiply(a3,multiply(b3,c3)).
% 1.71/1.96
% 1.71/1.96 ------------> process sos:
% 1.71/1.96 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.71/1.96 ** KEPT (pick-wt=17): 3 [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.71/1.96 ---> New Demodulator: 4 [new_demod,3] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))=B.
% 1.71/1.96 ** KEPT (pick-wt=9): 5 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.71/1.96 ---> New Demodulator: 6 [new_demod,5] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.71/1.96 ** KEPT (pick-wt=6): 7 [] inverse(A)=double_divide(A,identity).
% 1.71/1.96 ---> New Demodulator: 8 [new_demod,7] inverse(A)=double_divide(A,identity).
% 1.71/1.96 ** KEPT (pick-wt=7): 10 [copy,9,demod,8,flip.1] double_divide(A,double_divide(A,identity))=identity.
% 1.71/1.96 ---> New Demodulator: 11 [new_demod,10] double_divide(A,double_divide(A,identity))=identity.
% 1.71/1.96 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.71/1.96 >>>> Starting back demodulation with 4.
% 1.71/1.96 >>>> Starting back demodulation with 6.
% 1.71/1.96 >> back demodulating 1 with 6.
% 1.71/1.96 >>>> Starting back demodulation with 8.
% 1.71/1.96 >>>> Starting back demodulation with 11.
% 1.71/1.96
% 1.71/1.96 ======= end of input processing =======
% 1.71/1.96
% 1.71/1.96 =========== start of search ===========
% 1.71/1.96
% 1.71/1.96 -------- PROOF --------
% 1.71/1.96
% 1.71/1.96 ----> UNIT CONFLICT at 0.09 sec ----> 1336 [binary,1335.1,1249.1] $F.
% 1.71/1.96
% 1.71/1.96 Length of proof is 60. Level of proof is 22.
% 1.71/1.96
% 1.71/1.96 ---------------- PROOF ----------------
% 1.71/1.96 % SZS status Unsatisfiable
% 1.71/1.96 % SZS output start Refutation
% See solution above
% 1.71/1.96 ------------ end of proof -------------
% 1.71/1.96
% 1.71/1.96
% 1.71/1.96 Search stopped by max_proofs option.
% 1.71/1.96
% 1.71/1.96
% 1.71/1.96 Search stopped by max_proofs option.
% 1.71/1.96
% 1.71/1.96 ============ end of search ============
% 1.71/1.96
% 1.71/1.96 -------------- statistics -------------
% 1.71/1.96 clauses given 86
% 1.71/1.96 clauses generated 4389
% 1.71/1.96 clauses kept 864
% 1.71/1.96 clauses forward subsumed 4442
% 1.71/1.96 clauses back subsumed 28
% 1.71/1.96 Kbytes malloced 2929
% 1.71/1.96
% 1.71/1.96 ----------- times (seconds) -----------
% 1.71/1.96 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.71/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.71/1.96
% 1.71/1.96 That finishes the proof of the theorem.
% 1.71/1.96
% 1.71/1.96 Process 31798 finished Wed Jul 27 05:04:37 2022
% 1.71/1.96 Otter interrupted
% 1.71/1.96 PROOF FOUND
%------------------------------------------------------------------------------