TSTP Solution File: GRP298-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP298-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 12:56:50 EDT 2022
% Result : Unsatisfiable 200.48s 200.77s
% Output : Refutation 200.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 17 unt; 36 nHn; 53 RR)
% Number of literals : 144 ( 143 equ; 54 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(A,sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(B,sk_c8) != sk_c7
| inverse(B) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(C) != sk_c8
| multiply(C,sk_c7) != sk_c8
| multiply(D,E) != sk_c7
| inverse(D) != E
| multiply(E,sk_c6) != sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(2,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(A,sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(B) != sk_c8
| multiply(B,sk_c7) != sk_c8 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])])])])])]),
[iquote('copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(A,sk_c8) != sk_c7
| inverse(A) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(A,sk_c7) != sk_c8 ),
inference(factor,[status(thm)],[2]),
[iquote('factor,2.3.6')] ).
cnf(6,axiom,
A = A,
file('GRP298-1.p',unknown),
[] ).
cnf(8,axiom,
multiply(identity,A) = A,
file('GRP298-1.p',unknown),
[] ).
cnf(9,axiom,
multiply(inverse(A),A) = identity,
file('GRP298-1.p',unknown),
[] ).
cnf(11,axiom,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
file('GRP298-1.p',unknown),
[] ).
cnf(13,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(15,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(16,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(17,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(21,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(22,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(29,axiom,
( inverse(sk_c1) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(30,axiom,
( inverse(sk_c1) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(32,axiom,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(39,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('GRP298-1.p',unknown),
[] ).
cnf(40,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(41,axiom,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('GRP298-1.p',unknown),
[] ).
cnf(49,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != identity
| inverse(inverse(sk_c8)) != sk_c8
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(inverse(sk_c8),sk_c7) != sk_c8 ),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[9,4])]),
[iquote('para_from,9.1.1,4.2.1,flip.2')] ).
cnf(52,plain,
( multiply(sk_c8,sk_c1) = identity
| inverse(sk_c2) = sk_c8 ),
inference(para_from,[status(thm),theory(equality)],[30,9]),
[iquote('para_from,30.1.1,9.1.1.1')] ).
cnf(67,plain,
( multiply(sk_c8,sk_c3) = identity
| inverse(sk_c1) = sk_c8 ),
inference(para_from,[status(thm),theory(equality)],[32,9]),
[iquote('para_from,32.2.1,9.1.1.1')] ).
cnf(71,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[11,9]),8])]),
[iquote('para_into,11.1.1.1,9.1.1,demod,8,flip.1')] ).
cnf(94,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(para_into,[status(thm),theory(equality)],[71,71]),
[iquote('para_into,71.1.1.2,71.1.1')] ).
cnf(98,plain,
multiply(A,identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[71,9]),94]),
[iquote('para_into,71.1.1.2,9.1.1,demod,94')] ).
cnf(160,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(para_from,[status(thm),theory(equality)],[15,71]),
[iquote('para_from,15.2.1,71.1.1.2')] ).
cnf(257,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(para_from,[status(thm),theory(equality)],[40,71]),
[iquote('para_from,40.1.1,71.1.1.2')] ).
cnf(273,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c2) = sk_c8 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[52,71]),98]),
[iquote('para_from,52.1.1,71.1.1.2,demod,98')] ).
cnf(282,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c2) = sk_c8 ),
inference(para_from,[status(thm),theory(equality)],[273,9]),
[iquote('para_from,273.1.1,9.1.1.1')] ).
cnf(348,plain,
( inverse(sk_c8) = sk_c3
| inverse(sk_c1) = sk_c8 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[67,71]),98]),
[iquote('para_from,67.1.1,71.1.1.2,demod,98')] ).
cnf(490,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[94,98]),98]),
[iquote('para_into,93.1.1,97.1.1,demod,98')] ).
cnf(493,plain,
multiply(A,inverse(A)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[94,9])]),
[iquote('para_into,93.1.1,9.1.1,flip.1')] ).
cnf(496,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != identity
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(inverse(sk_c8),sk_c7) != sk_c8 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[49]),490]),6]),
[iquote('back_demod,49,demod,490,unit_del,6')] ).
cnf(498,plain,
( inverse(sk_c8) = sk_c1
| inverse(sk_c8) = sk_c3 ),
inference(para_into,[status(thm),theory(equality)],[490,348]),
[iquote('para_into,489.1.1.1,348.2.1')] ).
cnf(595,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c8) != sk_c7
| sk_c8 != sk_c3
| multiply(sk_c6,sk_c8) != sk_c7
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c8
| inverse(sk_c8) = sk_c1 ),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[498,4])]),
[iquote('para_from,498.2.1,4.3.1,flip.3')] ).
cnf(619,plain,
( sk_c7 = identity
| inverse(sk_c2) = sk_c8 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[282,22])]),
[iquote('para_into,282.1.1,22.1.1,factor_simp')] ).
cnf(639,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c7 = identity ),
inference(para_from,[status(thm),theory(equality)],[619,493]),
[iquote('para_from,619.2.1,493.1.1.2')] ).
cnf(767,plain,
( sk_c7 = identity
| inverse(sk_c1) = sk_c8 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[639,29])]),
[iquote('para_into,639.1.1,29.2.1,factor_simp')] ).
cnf(768,plain,
( sk_c7 = identity
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[639,21])]),
[iquote('para_into,639.1.1,21.2.1,factor_simp')] ).
cnf(769,plain,
( sk_c7 = identity
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[639,13])]),
[iquote('para_into,639.1.1,13.2.1,factor_simp')] ).
cnf(788,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c7 = identity ),
inference(para_from,[status(thm),theory(equality)],[767,493]),
[iquote('para_from,767.2.1,493.1.1.2')] ).
cnf(893,plain,
( multiply(inverse(sk_c6),sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(para_from,[status(thm),theory(equality)],[41,71]),
[iquote('para_from,41.1.1,71.1.1.2')] ).
cnf(1079,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = sk_c3 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[769,17]),98])]),
[iquote('para_from,769.1.1,17.2.1.2,demod,98,factor_simp')] ).
cnf(1094,plain,
sk_c7 = identity,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[788,768])])]),
[iquote('para_into,788.1.1,768.2.1,factor_simp,factor_simp')] ).
cnf(1095,plain,
( sk_c8 = sk_c6
| sk_c8 = sk_c3 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1079]),1094,98]),
[iquote('back_demod,1079,demod,1094,98')] ).
cnf(1193,plain,
( inverse(sk_c6) = sk_c8
| sk_c8 = sk_c3 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[893]),1094,98,1094,98])]),
[iquote('back_demod,893,demod,1094,98,1094,98,flip.2')] ).
cnf(1306,plain,
( sk_c8 != sk_c6
| multiply(sk_c8,sk_c8) != identity
| sk_c8 != sk_c3
| multiply(sk_c6,sk_c8) != identity
| multiply(sk_c8,sk_c6) != identity
| inverse(sk_c8) = sk_c1 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[595]),1094,98,1094,1094,1094,1094,98]),6]),
[iquote('back_demod,595,demod,1094,98,1094,1094,1094,1094,98,unit_del,6')] ).
cnf(1349,plain,
( sk_c8 != sk_c6
| multiply(sk_c6,sk_c8) != identity
| multiply(sk_c8,sk_c6) != identity
| inverse(sk_c8) != sk_c8 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[496]),1094,98,1094,1094,1094,1094,98]),6]),
[iquote('back_demod,496,demod,1094,98,1094,1094,1094,1094,98,unit_del,6')] ).
cnf(1444,plain,
( inverse(sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[257]),1094,98]),
[iquote('back_demod,257,demod,1094,98')] ).
cnf(1500,plain,
( inverse(sk_c8) = sk_c6
| sk_c8 = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[160]),1094,98,1094,98]),
[iquote('back_demod,160,demod,1094,98,1094,98')] ).
cnf(1532,plain,
( multiply(sk_c6,sk_c8) = identity
| multiply(sk_c8,sk_c6) = identity ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[39]),1094,1094]),
[iquote('back_demod,39,demod,1094,1094')] ).
cnf(1534,plain,
( sk_c8 = sk_c6
| inverse(sk_c3) = sk_c8 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[16]),1094,98]),
[iquote('back_demod,16,demod,1094,98')] ).
cnf(1652,plain,
( inverse(sk_c3) = sk_c6
| sk_c8 = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1500,1095])]),
[iquote('para_into,1500.1.1.1,1095.2.1,factor_simp')] ).
cnf(1916,plain,
sk_c8 = sk_c6,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1652,1534])])]),
[iquote('para_into,1652.1.1,1534.2.1,factor_simp,factor_simp')] ).
cnf(2039,plain,
multiply(sk_c6,sk_c6) = identity,
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1532]),1916,1916])]),
[iquote('back_demod,1532,demod,1916,1916,factor_simp')] ).
cnf(2094,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c3) = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1444]),1916,1916]),
[iquote('back_demod,1444,demod,1916,1916')] ).
cnf(2154,plain,
inverse(sk_c6) != sk_c6,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1349]),1916,1916,2039,1916,2039,1916,1916]),6,6,6]),
[iquote('back_demod,1349,demod,1916,1916,2039,1916,2039,1916,1916,unit_del,6,6,6')] ).
cnf(2171,plain,
( sk_c6 != sk_c3
| inverse(sk_c6) = sk_c1 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1306]),1916,1916,1916,2039,1916,1916,2039,1916,2039,1916]),6,6,6,6]),
[iquote('back_demod,1306,demod,1916,1916,1916,2039,1916,1916,2039,1916,2039,1916,unit_del,6,6,6,6')] ).
cnf(2190,plain,
sk_c6 = sk_c3,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1193]),1916,1916]),2154]),
[iquote('back_demod,1193,demod,1916,1916,unit_del,2154')] ).
cnf(2358,plain,
inverse(sk_c3) = sk_c1,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2171]),2190,2190]),6]),
[iquote('back_demod,2171,demod,2190,2190,unit_del,6')] ).
cnf(2366,plain,
sk_c3 != sk_c1,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2154]),2190,2358,2190])]),
[iquote('back_demod,2154,demod,2190,2358,2190,flip.1')] ).
cnf(2386,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2094]),2190,2358,2190,2358,2190]),2366,2366]),
[iquote('back_demod,2094,demod,2190,2358,2190,2358,2190,unit_del,2366,2366')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP298-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n028.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 05:31:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.97 ----- Otter 3.3f, August 2004 -----
% 1.75/1.97 The process was started by sandbox2 on n028.cluster.edu,
% 1.75/1.97 Wed Jul 27 05:31:48 2022
% 1.75/1.97 The command was "./otter". The process ID is 24059.
% 1.75/1.97
% 1.75/1.97 set(prolog_style_variables).
% 1.75/1.97 set(auto).
% 1.75/1.97 dependent: set(auto1).
% 1.75/1.97 dependent: set(process_input).
% 1.75/1.97 dependent: clear(print_kept).
% 1.75/1.97 dependent: clear(print_new_demod).
% 1.75/1.97 dependent: clear(print_back_demod).
% 1.75/1.97 dependent: clear(print_back_sub).
% 1.75/1.97 dependent: set(control_memory).
% 1.75/1.97 dependent: assign(max_mem, 12000).
% 1.75/1.97 dependent: assign(pick_given_ratio, 4).
% 1.75/1.97 dependent: assign(stats_level, 1).
% 1.75/1.97 dependent: assign(max_seconds, 10800).
% 1.75/1.97 clear(print_given).
% 1.75/1.97
% 1.75/1.97 list(usable).
% 1.75/1.97 0 [] A=A.
% 1.75/1.97 0 [] multiply(identity,X)=X.
% 1.75/1.97 0 [] multiply(inverse(X),X)=identity.
% 1.75/1.97 0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c2,sk_c8)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c2)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5.
% 1.75/1.97 0 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c5.
% 1.75/1.97 0 [] inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5.
% 1.75/1.97 0 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7.
% 1.75/1.97 0 [] multiply(sk_c8,sk_c7)!=sk_c6|multiply(X2,sk_c8)!=sk_c7|inverse(X2)!=sk_c8|multiply(sk_c6,sk_c8)!=sk_c7|multiply(X1,sk_c8)!=sk_c7|inverse(X1)!=sk_c8|multiply(sk_c8,sk_c6)!=sk_c7|inverse(X3)!=sk_c8|multiply(X3,sk_c7)!=sk_c8|multiply(X4,X5)!=sk_c7|inverse(X4)!=X5|multiply(X5,sk_c6)!=sk_c7.
% 1.75/1.97 end_of_list.
% 1.75/1.97
% 1.75/1.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 1.75/1.97
% 1.75/1.97 This ia a non-Horn set with equality. The strategy will be
% 1.75/1.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.75/1.97 deletion, with positive clauses in sos and nonpositive
% 1.75/1.97 clauses in usable.
% 1.75/1.97
% 1.75/1.97 dependent: set(knuth_bendix).
% 1.75/1.97 dependent: set(anl_eq).
% 1.75/1.97 dependent: set(para_from).
% 1.75/1.97 dependent: set(para_into).
% 1.75/1.97 dependent: clear(para_from_right).
% 1.75/1.97 dependent: clear(para_into_right).
% 1.75/1.97 dependent: set(para_from_vars).
% 1.75/1.97 dependent: set(eq_units_both_ways).
% 1.75/1.97 dependent: set(dynamic_demod_all).
% 1.75/1.97 dependent: set(dynamic_demod).
% 1.75/1.97 dependent: set(order_eq).
% 1.75/1.97 dependent: set(back_demod).
% 1.75/1.97 dependent: set(lrpo).
% 1.75/1.97 dependent: set(hyper_res).
% 1.75/1.97 dependent: set(unit_deletion).
% 1.75/1.97 dependent: set(factor).
% 1.75/1.97
% 1.75/1.97 ------------> process usable:
% 1.75/1.97 ** KEPT (pick-wt=33): 2 [copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] multiply(sk_c8,sk_c7)!=sk_c6|multiply(A,sk_c8)!=sk_c7|inverse(A)!=sk_c8|multiply(sk_c6,sk_c8)!=sk_c7|multiply(sk_c8,sk_c6)!=sk_c7|inverse(B)!=sk_c8|multiply(B,sk_c7)!=sk_c8.
% 1.75/1.97
% 1.75/1.97 ------------> process sos:
% 1.75/1.97 ** KEPT (pick-wt=3): 6 [] A=A.
% 1.75/1.97 ** KEPT (pick-wt=5): 7 [] multiply(identity,A)=A.
% 200.48/200.77 ---> New Demodulator: 8 [new_demod,7] multiply(identity,A)=A.
% 200.48/200.77 ** KEPT (pick-wt=6): 9 [] multiply(inverse(A),A)=identity.
% 200.48/200.77 ---> New Demodulator: 10 [new_demod,9] multiply(inverse(A),A)=identity.
% 200.48/200.77 ** KEPT (pick-wt=11): 11 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 200.48/200.77 ---> New Demodulator: 12 [new_demod,11] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 200.48/200.77 ** KEPT (pick-wt=10): 13 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c2,sk_c8)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 14 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c2)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 15 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 16 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 17 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 18 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 19 [] multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5.
% 200.48/200.77 ** KEPT (pick-wt=10): 20 [] multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=10): 21 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 22 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 23 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 24 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 25 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 26 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 27 [] multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5.
% 200.48/200.77 ** KEPT (pick-wt=10): 28 [] multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 29 [] inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=8): 30 [] inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=9): 31 [] inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=8): 32 [] inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=9): 33 [] inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=9): 34 [] inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=8): 35 [] inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c5.
% 200.48/200.77 ** KEPT (pick-wt=9): 36 [] inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=10): 37 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 38 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 39 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 40 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 41 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8.
% 200.48/200.77 ** KEPT (pick-wt=10): 42 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7.
% 200.48/200.77 ** KEPT (pick-wt=9): 43 [] multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5.
% 200.48/200.77 ** KEPT (pick-wt=10): 44 [] multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7.
% 200.48/200.77 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 200.48/200.77 >>>> Starting back demodulation with 8.
% 200.48/200.77 >>>> Starting back demodulation with 10.
% 200.48/200.77 >>>> Starting back demodulation with 12.
% 200.48/200.77
% 200.48/200.77 ======= end of input processing =======
% 200.48/200.77
% 200.48/200.77 =========== start of search ===========
% 200.48/200.77
% 200.48/200.77 -- HEY sandbox2, WE HAVE A PROOF!! --
% 200.48/200.77
% 200.48/200.77 -----> EMPTY CLAUSE at 198.74 sec ----> 2386 [back_demod,2094,demod,2190,2358,2190,2358,2190,unit_del,2366,2366] $F.
% 200.48/200.77
% 200.48/200.77 Length of proof is 44. Level of proof is 18.
% 200.48/200.77
% 200.48/200.77 ---------------- PROOF ----------------
% 200.48/200.77 % SZS status Unsatisfiable
% 200.48/200.77 % SZS output start Refutation
% See solution above
% 200.48/200.77 ------------ end of proof -------------
% 200.48/200.77
% 200.48/200.77
% 200.48/200.77 Search stopped by max_proofs option.
% 200.48/200.77
% 200.48/200.77
% 200.48/200.77 Search stopped by max_proofs option.
% 200.48/200.77
% 200.48/200.77 ============ end of search ============
% 200.48/200.77
% 200.48/200.77 -------------- statistics -------------
% 200.48/200.77 clauses given 119
% 200.48/200.77 clauses generated 1578485
% 200.48/200.77 clauses kept 2356
% 200.48/200.77 clauses forward subsumed 1577645
% 200.48/200.77 clauses back subsumed 432
% 200.48/200.77 Kbytes malloced 2929
% 200.48/200.77
% 200.48/200.77 ----------- times (seconds) -----------
% 200.48/200.77 user CPU time 198.74 (0 hr, 3 min, 18 sec)
% 200.48/200.77 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 200.48/200.77 wall-clock time 201 (0 hr, 3 min, 21 sec)
% 200.48/200.77
% 200.48/200.77 That finishes the proof of the theorem.
% 200.48/200.77
% 200.48/200.77 Process 24059 finished Wed Jul 27 05:35:09 2022
% 200.48/200.77 Otter interrupted
% 200.48/200.77 PROOF FOUND
%------------------------------------------------------------------------------