%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP443-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 12:57:01 EDT 2022
% Result : Unsatisfiable 2.25s 2.49s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of clauses : 73 ( 73 unt; 0 nHn; 2 RR)
% Number of literals : 73 ( 72 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 237 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP443-1.p',unknown),
[] ).
cnf(3,axiom,
inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = D,
file('GRP443-1.p',unknown),
[] ).
cnf(8,plain,
inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,A)))),multiply(multiply(E,inverse(E)),C)))) = D,
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.1.2.2.2,3.1.1')] ).
cnf(10,plain,
inverse(multiply(A,multiply(multiply(multiply(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(E,B)))),multiply(multiply(F,inverse(F)),D))),E),inverse(multiply(G,multiply(H,A)))),multiply(multiply(I,inverse(I)),G)))) = H,
inference(para_into,[status(thm),theory(equality)],[8,8]),
[iquote('para_into,7.1.1.1.2.1.1.2,7.1.1')] ).
cnf(13,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(C,inverse(C)),D),multiply(multiply(E,inverse(E)),F)))) = multiply(multiply(G,inverse(G)),inverse(multiply(B,multiply(D,F)))),
inference(para_into,[status(thm),theory(equality)],[8,8]),
[iquote('para_into,7.1.1.1.2.1.2,7.1.1')] ).
cnf(14,plain,
inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,D)))),multiply(multiply(multiply(E,inverse(E)),B),multiply(multiply(F,inverse(F)),C)))) = D,
inference(para_into,[status(thm),theory(equality)],[8,3]),
[iquote('para_into,7.1.1.1.2.1.2,3.1.1')] ).
cnf(21,plain,
inverse(multiply(A,multiply(B,multiply(multiply(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(E,multiply(F,C)))),multiply(multiply(G,inverse(G)),E))),F),inverse(multiply(H,multiply(A,B))))))) = H,
inference(para_from,[status(thm),theory(equality)],[8,3]),
[iquote('para_from,7.1.1,3.1.1.1.2.2.1.2')] ).
cnf(161,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(B,C)))) = D,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,14])]),
[iquote('para_into,13.1.1,14.1.1,flip.1')] ).
cnf(223,plain,
multiply(multiply(A,inverse(A)),B) = multiply(multiply(C,inverse(C)),B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[161,14]),8]),
[iquote('para_into,161.1.1.2.1.1,14.1.1,demod,8')] ).
cnf(294,plain,
multiply(A,inverse(A)) = multiply(B,inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[223,10]),10]),
[iquote('para_from,223.1.1,9.1.1.1.2.1.2.1.2,demod,10')] ).
cnf(347,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) = multiply(C,inverse(C)),
inference(para_into,[status(thm),theory(equality)],[294,223]),
[iquote('para_into,294.1.1,223.1.1')] ).
cnf(350,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(inverse(B),C))),multiply(D,inverse(D))))) = C,
inference(para_from,[status(thm),theory(equality)],[294,161]),
[iquote('para_from,294.1.1,161.1.1.2.1.2')] ).
cnf(355,plain,
inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,inverse(D))))),multiply(multiply(E,inverse(E)),C)))) = A,
inference(para_from,[status(thm),theory(equality)],[294,8]),
[iquote('para_from,294.1.1,7.1.1.1.2.1.2.1.2')] ).
cnf(357,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,D)))) = inverse(D),
inference(para_from,[status(thm),theory(equality)],[294,161]),
[iquote('para_from,294.1.1,161.1.1.2.1.1.1.2')] ).
cnf(366,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[347,161]),357]),
[iquote('para_from,347.1.1,161.1.1.2.1.1.1.2,demod,357')] ).
cnf(367,plain,
inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(E,inverse(E)))))))) = D,
inference(para_from,[status(thm),theory(equality)],[347,3]),
[iquote('para_from,347.1.1,3.1.1.1.2.2.2.1.2')] ).
cnf(393,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(D,inverse(D))))) = inverse(inverse(B)),
inference(para_into,[status(thm),theory(equality)],[350,294]),
[iquote('para_into,350.1.1.2.1.1.1.2,294.1.1')] ).
cnf(397,plain,
inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(inverse(D),B))))))) = A,
inference(para_from,[status(thm),theory(equality)],[350,8]),
[iquote('para_from,350.1.1,7.1.1.1.2.1')] ).
cnf(399,plain,
inverse(multiply(A,multiply(inverse(A),B))) = inverse(multiply(C,multiply(inverse(C),B))),
inference(para_from,[status(thm),theory(equality)],[350,3]),
[iquote('para_from,350.1.1,3.1.1.1.2.2')] ).
cnf(403,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(C,multiply(inverse(C),inverse(inverse(A))))),
inference(para_into,[status(thm),theory(equality)],[399,294]),
[iquote('para_into,399.1.1.1.2,294.1.1')] ).
cnf(407,plain,
inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))) = inverse(multiply(B,multiply(C,inverse(C)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[403])]),
[iquote('copy,403,flip.1')] ).
cnf(411,plain,
multiply(multiply(A,multiply(inverse(A),B)),inverse(multiply(C,multiply(inverse(C),B)))) = multiply(D,inverse(D)),
inference(para_from,[status(thm),theory(equality)],[399,294]),
[iquote('para_from,399.1.1,294.1.1.2')] ).
cnf(426,plain,
multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(C,multiply(inverse(C),inverse(inverse(A)))))) = multiply(D,inverse(D)),
inference(para_from,[status(thm),theory(equality)],[403,294]),
[iquote('para_from,403.1.1,294.1.1.2')] ).
cnf(436,plain,
inverse(multiply(A,multiply(B,inverse(B)))) = inverse(multiply(A,multiply(C,inverse(C)))),
inference(para_into,[status(thm),theory(equality)],[407,294]),
[iquote('para_into,407.1.1.1.2,294.1.1')] ).
cnf(454,plain,
multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(C,inverse(C))))) = multiply(D,inverse(D)),
inference(para_from,[status(thm),theory(equality)],[436,294]),
[iquote('para_from,436.1.1,294.1.1.2')] ).
cnf(472,plain,
multiply(A,multiply(inverse(A),B)) = multiply(C,multiply(inverse(C),B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[411,8]),355]),
[iquote('para_from,411.1.1,7.1.1.1.2.1.2.1.2,demod,355')] ).
cnf(479,plain,
multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),C)) = multiply(D,multiply(inverse(D),C)),
inference(para_into,[status(thm),theory(equality)],[472,366]),
[iquote('para_into,472.1.1.2.1,366.1.1')] ).
cnf(481,plain,
multiply(A,multiply(B,multiply(inverse(B),C))) = multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),C))),
inference(para_into,[status(thm),theory(equality)],[472,472]),
[iquote('para_into,472.1.1.2,472.1.1')] ).
cnf(483,plain,
multiply(A,multiply(B,inverse(B))) = multiply(C,multiply(inverse(C),inverse(inverse(A)))),
inference(para_into,[status(thm),theory(equality)],[472,294]),
[iquote('para_into,472.1.1.2,294.1.1')] ).
cnf(503,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,multiply(inverse(C),D)))),multiply(B,E)))) = multiply(inverse(E),D),
inference(para_from,[status(thm),theory(equality)],[472,161]),
[iquote('para_from,472.1.1,161.1.1.2.1.1.1.2')] ).
cnf(535,plain,
multiply(inverse(multiply(A,inverse(A))),B) = multiply(inverse(multiply(C,inverse(C))),B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[479,161]),503]),
[iquote('para_from,479.1.1,161.1.1.2.1.1.1.2,demod,503')] ).
cnf(543,plain,
inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B)))))) = inverse(multiply(C,inverse(C))),
inference(para_from,[status(thm),theory(equality)],[535,366]),
[iquote('para_from,535.1.1,366.1.1.1')] ).
cnf(546,plain,
inverse(multiply(A,inverse(A))) = inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(multiply(C,inverse(C)))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[543])]),
[iquote('copy,543,flip.1')] ).
cnf(559,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = inverse(inverse(multiply(A,multiply(C,inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[357,454]),393]),
[iquote('para_into,356.1.1.2.1.2,454.1.1,demod,393')] ).
cnf(560,plain,
inverse(inverse(multiply(A,multiply(inverse(A),B)))) = inverse(inverse(multiply(C,multiply(inverse(C),B)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[357,411]),393]),
[iquote('para_into,356.1.1.2.1.2,411.1.1,demod,393')] ).
cnf(567,plain,
inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(B)))))) = inverse(inverse(multiply(B,multiply(C,inverse(C))))),
inference(para_into,[status(thm),theory(equality)],[559,483]),
[iquote('para_into,559.1.1.1.1,483.1.1')] ).
cnf(568,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = inverse(inverse(multiply(C,multiply(inverse(C),inverse(inverse(A)))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[567])]),
[iquote('copy,567,flip.1')] ).
cnf(569,plain,
multiply(inverse(multiply(A,multiply(B,inverse(B)))),inverse(inverse(multiply(A,multiply(C,inverse(C)))))) = multiply(D,inverse(D)),
inference(para_from,[status(thm),theory(equality)],[559,294]),
[iquote('para_from,559.1.1,294.1.1.2')] ).
cnf(584,plain,
inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[426,21]),8]),
[iquote('para_from,426.1.1,21.1.1.1.2.2,demod,8')] ).
cnf(590,plain,
inverse(multiply(A,multiply(inverse(A),multiply(inverse(inverse(inverse(B))),inverse(inverse(inverse(multiply(C,inverse(C))))))))) = B,
inference(para_into,[status(thm),theory(equality)],[584,481]),
[iquote('para_into,584.1.1.1,481.1.1')] ).
cnf(594,plain,
multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),multiply(multiply(C,inverse(C)),D))) = D,
inference(para_from,[status(thm),theory(equality)],[584,161]),
[iquote('para_from,584.1.1,161.1.1.2')] ).
cnf(595,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(B),inverse(multiply(C,inverse(C))))))) = multiply(D,inverse(D)),
inference(para_from,[status(thm),theory(equality)],[584,161]),
[iquote('para_from,584.1.1,161.1.1.2.1.1')] ).
cnf(599,plain,
inverse(inverse(multiply(A,multiply(B,inverse(B))))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[367]),594]),
[iquote('back_demod,367,demod,594')] ).
cnf(600,plain,
multiply(A,inverse(A)) = multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(C),inverse(multiply(D,inverse(D))))))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[595])]),
[iquote('copy,595,flip.1')] ).
cnf(605,plain,
multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) = multiply(C,inverse(C)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[569]),599]),
[iquote('back_demod,569,demod,599')] ).
cnf(607,plain,
inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(B)))))) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[568]),599])]),
[iquote('back_demod,568,demod,599,flip.1')] ).
cnf(638,plain,
multiply(multiply(inverse(multiply(A,multiply(B,inverse(B)))),A),C) = multiply(multiply(D,inverse(D)),C),
inference(para_from,[status(thm),theory(equality)],[599,223]),
[iquote('para_from,598.1.1,223.1.1.1.2')] ).
cnf(640,plain,
inverse(multiply(inverse(A),multiply(B,inverse(B)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[599,397]),357]),
[iquote('para_from,598.1.1,397.1.1.1.2.2.2.1.2.1,demod,357')] ).
cnf(642,plain,
inverse(multiply(A,multiply(inverse(A),inverse(B)))) = multiply(B,multiply(C,inverse(C))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[599,407]),640]),
[iquote('para_from,598.1.1,407.1.1.1.2.2.1,demod,640')] ).
cnf(643,plain,
multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,D))) = D,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[599,350]),640]),
[iquote('para_from,598.1.1,350.1.1.2.1.1.1.2.1,demod,640')] ).
cnf(675,plain,
multiply(A,multiply(B,inverse(B))) = inverse(multiply(C,multiply(inverse(C),inverse(A)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[642])]),
[iquote('copy,642,flip.1')] ).
cnf(702,plain,
inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(B)))))) = B,
inference(para_into,[status(thm),theory(equality)],[640,483]),
[iquote('para_into,639.1.1.1,483.1.1')] ).
cnf(712,plain,
multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(B),C)))) = inverse(C),
inference(para_from,[status(thm),theory(equality)],[640,357]),
[iquote('para_from,639.1.1,356.1.1.2.1.1')] ).
cnf(741,plain,
multiply(A,inverse(A)) = inverse(inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[600]),712]),
[iquote('back_demod,600,demod,712')] ).
cnf(778,plain,
inverse(inverse(multiply(A,inverse(inverse(multiply(B,inverse(B))))))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[741,560]),607]),
[iquote('para_from,741.1.1,560.1.1.1.1.2,demod,607')] ).
cnf(786,plain,
inverse(inverse(inverse(multiply(A,inverse(A))))) = inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(multiply(C,inverse(C)))))),
inference(para_from,[status(thm),theory(equality)],[741,546]),
[iquote('para_from,741.1.1,546.1.1.1')] ).
cnf(806,plain,
inverse(multiply(inverse(A),inverse(inverse(multiply(B,inverse(B)))))) = A,
inference(para_from,[status(thm),theory(equality)],[741,640]),
[iquote('para_from,741.1.1,639.1.1.1.2')] ).
cnf(836,plain,
multiply(A,inverse(A)) = inverse(inverse(inverse(multiply(B,inverse(B))))),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[786])]),806]),
[iquote('copy,786,flip.1,demod,806')] ).
cnf(1268,plain,
inverse(multiply(A,multiply(inverse(A),inverse(B)))) = multiply(C,multiply(inverse(C),inverse(inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[607,407]),640]),
[iquote('para_from,606.1.1,407.1.1.1.2.2.1,demod,640')] ).
cnf(1288,plain,
multiply(A,multiply(inverse(A),inverse(inverse(B)))) = inverse(multiply(C,multiply(inverse(C),inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1268])]),
[iquote('copy,1268,flip.1')] ).
cnf(1372,plain,
multiply(inverse(multiply(A,inverse(inverse(multiply(B,inverse(B)))))),multiply(A,C)) = multiply(D,multiply(inverse(D),C)),
inference(para_from,[status(thm),theory(equality)],[778,472]),
[iquote('para_from,778.1.1,472.1.1.2.1')] ).
cnf(1395,plain,
multiply(A,multiply(inverse(A),B)) = multiply(inverse(multiply(C,inverse(inverse(multiply(D,inverse(D)))))),multiply(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1372])]),
[iquote('copy,1372,flip.1')] ).
cnf(1560,plain,
multiply(inverse(inverse(A)),multiply(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[605,607]),599]),
[iquote('para_from,605.1.1,606.1.1.1.1.2,demod,599')] ).
cnf(1573,plain,
multiply(inverse(inverse(A)),inverse(inverse(inverse(multiply(B,inverse(B)))))) = A,
inference(para_into,[status(thm),theory(equality)],[1560,836]),
[iquote('para_into,1560.1.1.2,836.1.1')] ).
cnf(1579,plain,
inverse(multiply(A,multiply(inverse(A),inverse(B)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[590]),1573]),
[iquote('back_demod,590,demod,1573')] ).
cnf(1596,plain,
multiply(A,multiply(inverse(A),inverse(inverse(B)))) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1288]),1579]),
[iquote('back_demod,1288,demod,1579')] ).
cnf(1633,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[702]),1596]),
[iquote('back_demod,702,demod,1596')] ).
cnf(1635,plain,
multiply(A,multiply(B,inverse(B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[675]),1579]),
[iquote('back_demod,675,demod,1579')] ).
cnf(1637,plain,
multiply(A,multiply(inverse(A),B)) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[607]),1633,1633]),
[iquote('back_demod,606,demod,1633,1633')] ).
cnf(1643,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1395]),1637,1633,1635])]),
[iquote('back_demod,1395,demod,1637,1633,1635,flip.1')] ).
cnf(1652,plain,
multiply(multiply(A,inverse(A)),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[643]),1635,1643]),
[iquote('back_demod,643,demod,1635,1643')] ).
cnf(1653,plain,
multiply(multiply(inverse(A),A),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[638]),1635,1652]),
[iquote('back_demod,638,demod,1635,1652')] ).
cnf(1655,plain,
$false,
inference(binary,[status(thm)],[1653,1]),
[iquote('binary,1653.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP443-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 05:06:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.25/2.49 ----- Otter 3.3f, August 2004 -----
% 2.25/2.49 The process was started by sandbox on n025.cluster.edu,
% 2.25/2.49 Wed Jul 27 05:06:45 2022
% 2.25/2.49 The command was "./otter". The process ID is 3795.
% 2.25/2.49
% 2.25/2.49 set(prolog_style_variables).
% 2.25/2.49 set(auto).
% 2.25/2.49 dependent: set(auto1).
% 2.25/2.49 dependent: set(process_input).
% 2.25/2.49 dependent: clear(print_kept).
% 2.25/2.49 dependent: clear(print_new_demod).
% 2.25/2.49 dependent: clear(print_back_demod).
% 2.25/2.49 dependent: clear(print_back_sub).
% 2.25/2.49 dependent: set(control_memory).
% 2.25/2.49 dependent: assign(max_mem, 12000).
% 2.25/2.49 dependent: assign(pick_given_ratio, 4).
% 2.25/2.49 dependent: assign(stats_level, 1).
% 2.25/2.49 dependent: assign(max_seconds, 10800).
% 2.25/2.49 clear(print_given).
% 2.25/2.49
% 2.25/2.49 list(usable).
% 2.25/2.49 0 [] A=A.
% 2.25/2.49 0 [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))))=D.
% 2.25/2.49 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 2.25/2.49 end_of_list.
% 2.25/2.49
% 2.25/2.49 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 2.25/2.49
% 2.25/2.49 All clauses are units, and equality is present; the
% 2.25/2.49 strategy will be Knuth-Bendix with positive clauses in sos.
% 2.25/2.49
% 2.25/2.49 dependent: set(knuth_bendix).
% 2.25/2.49 dependent: set(anl_eq).
% 2.25/2.49 dependent: set(para_from).
% 2.25/2.49 dependent: set(para_into).
% 2.25/2.49 dependent: clear(para_from_right).
% 2.25/2.49 dependent: clear(para_into_right).
% 2.25/2.49 dependent: set(para_from_vars).
% 2.25/2.49 dependent: set(eq_units_both_ways).
% 2.25/2.49 dependent: set(dynamic_demod_all).
% 2.25/2.49 dependent: set(dynamic_demod).
% 2.25/2.49 dependent: set(order_eq).
% 2.25/2.49 dependent: set(back_demod).
% 2.25/2.49 dependent: set(lrpo).
% 2.25/2.49
% 2.25/2.49 ------------> process usable:
% 2.25/2.49 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 2.25/2.49
% 2.25/2.49 ------------> process sos:
% 2.25/2.49 ** KEPT (pick-wt=3): 2 [] A=A.
% 2.25/2.49 ** KEPT (pick-wt=18): 3 [] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))))=D.
% 2.25/2.49 ---> New Demodulator: 4 [new_demod,3] inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,multiply(A,B)))))))=D.
% 2.25/2.49 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.25/2.49 >>>> Starting back demodulation with 4.
% 2.25/2.49
% 2.25/2.49 ======= end of input processing =======
% 2.25/2.49
% 2.25/2.49 =========== start of search ===========
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 26.
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 26.
% 2.25/2.49
% 2.25/2.49 sos_size=210
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 21.
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 21.
% 2.25/2.49
% 2.25/2.49 sos_size=344
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 15.
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Resetting weight limit to 15.
% 2.25/2.49
% 2.25/2.49 sos_size=1071
% 2.25/2.49
% 2.25/2.49 -------- PROOF --------
% 2.25/2.49
% 2.25/2.49 ----> UNIT CONFLICT at 0.43 sec ----> 1655 [binary,1653.1,1.1] $F.
% 2.25/2.49
% 2.25/2.49 Length of proof is 70. Level of proof is 25.
% 2.25/2.49
% 2.25/2.49 ---------------- PROOF ----------------
% 2.25/2.49 % SZS status Unsatisfiable
% 2.25/2.49 % SZS output start Refutation
% See solution above
% 2.25/2.49 ------------ end of proof -------------
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Search stopped by max_proofs option.
% 2.25/2.49
% 2.25/2.49
% 2.25/2.49 Search stopped by max_proofs option.
% 2.25/2.49
% 2.25/2.49 ============ end of search ============
% 2.25/2.49
% 2.25/2.49 -------------- statistics -------------
% 2.25/2.49 clauses given 125
% 2.25/2.49 clauses generated 34455
% 2.25/2.49 clauses kept 1312
% 2.25/2.49 clauses forward subsumed 6040
% 2.25/2.49 clauses back subsumed 7
% 2.25/2.49 Kbytes malloced 11718
% 2.25/2.49
% 2.25/2.49 ----------- times (seconds) -----------
% 2.25/2.49 user CPU time 0.43 (0 hr, 0 min, 0 sec)
% 2.25/2.49 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.25/2.49 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.25/2.49
% 2.25/2.49 That finishes the proof of the theorem.
% 2.25/2.49
% 2.25/2.49 Process 3795 finished Wed Jul 27 05:06:47 2022
% 2.25/2.49 Otter interrupted
% 2.25/2.49 PROOF FOUND
%------------------------------------------------------------------------------