TSTP Solution File: GRP416-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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 12:56:58 EDT 2022

% Result   : Unsatisfiable 2.12s 2.33s
% Output   : Refutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   53 (  53 unt;   0 nHn;   5 RR)
%            Number of literals    :   53 (  52 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   16 (   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   :  154 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('GRP416-1.p',unknown),
    [] ).

cnf(4,axiom,
    inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C,
    file('GRP416-1.p',unknown),
    [] ).

cnf(5,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = D,
    inference(para_into,[status(thm),theory(equality)],[4,4]),
    [iquote('para_into,3.1.1.1.2.1.1.1.1,3.1.1')] ).

cnf(7,plain,
    inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,inverse(C)))),inverse(multiply(inverse(D),D))))),
    inference(para_into,[status(thm),theory(equality)],[4,4]),
    [iquote('para_into,3.1.1.1.2.1.1.1.2.2,3.1.1')] ).

cnf(10,plain,
    multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,C))),inverse(multiply(inverse(D),D)))))),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
    [iquote('copy,7,flip.1')] ).

cnf(17,plain,
    multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(A),A))))) = C,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[7,4])]),
    [iquote('para_into,7.1.1,3.1.1,flip.1')] ).

cnf(39,plain,
    inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[17,7]),17]),
    [iquote('para_from,16.1.1,7.1.1.1.2.1.1.1.2,demod,17')] ).

cnf(40,plain,
    multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D)))))),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[39])]),
    [iquote('copy,39,flip.1')] ).

cnf(59,plain,
    multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),inverse(multiply(inverse(B),B))) = C,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,4])]),
    [iquote('para_into,39.1.1,3.1.1,flip.1')] ).

cnf(160,plain,
    multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))) = multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),inverse(multiply(inverse(B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[59,7]),4]),
    [iquote('para_into,58.1.1.1.1.2.2.1,7.1.1,demod,4')] ).

cnf(161,plain,
    inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))),A)),D)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(C),C),
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[59,7]),17]),
    [iquote('para_from,58.1.1,7.1.1.1.2.1.1.1.2,demod,17')] ).

cnf(169,plain,
    multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B)))))))) = C,
    inference(para_from,[status(thm),theory(equality)],[40,17]),
    [iquote('para_from,40.1.1,16.1.1.2.1')] ).

cnf(171,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),D)),inverse(multiply(inverse(A),A))))))) = multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))))))),
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[169,169])]),
    [iquote('para_into,168.1.1.2.1.1.2.1.1.1,168.1.1,flip.1')] ).

cnf(172,plain,
    multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))))) = multiply(A,D),
    inference(para_into,[status(thm),theory(equality)],[169,160]),
    [iquote('para_into,168.1.1.2.1.1.2.1,160.1.1')] ).

cnf(174,plain,
    multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D))))),
    inference(para_from,[status(thm),theory(equality)],[169,17]),
    [iquote('para_from,168.1.1,16.1.1.2.1.1.1.2')] ).

cnf(178,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))))) = C,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[172,169]),169])]),
    [iquote('para_from,172.1.1,168.1.1.2.1.1.2.1.1.1,demod,169,flip.1')] ).

cnf(180,plain,
    multiply(inverse(multiply(A,B)),inverse(inverse(multiply(multiply(A,C),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),E)),inverse(multiply(inverse(multiply(A,C)),multiply(A,C))))))))) = E,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[178,160]),171]),
    [iquote('para_into,177.1.1.1.1.2.1.1.1.1.1,160.1.1,demod,171')] ).

cnf(192,plain,
    inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = multiply(inverse(A),A),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[161,160]),59]),
    [iquote('para_into,161.1.1.1.2.1.1.1.1.1,160.1.1,demod,59')] ).

cnf(196,plain,
    multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))) = C,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[180,174]),171]),
    [iquote('para_into,180.1.1.2.1.1,174.1.1,demod,171')] ).

cnf(201,plain,
    multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[196,160]),178]),
    [iquote('para_into,196.1.1.2.2.1.1.2.1,160.1.1,demod,178')] ).

cnf(203,plain,
    multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))) = multiply(inverse(C),C),
    inference(para_into,[status(thm),theory(equality)],[196,192]),
    [iquote('para_into,196.1.1.2.2.1,192.1.1')] ).

cnf(225,plain,
    multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C)))))),multiply(A,E)) = multiply(D,multiply(C,E)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[201,10]),178])]),
    [iquote('para_into,201.1.1.1.1,10.1.1,demod,178,flip.1')] ).

cnf(264,plain,
    multiply(inverse(A),A) = multiply(inverse(B),B),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[203,59]),59]),
    [iquote('para_into,203.1.1.1.1,58.1.1,demod,59')] ).

cnf(289,plain,
    multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(inverse(A))),inverse(inverse(A))))))) = A,
    inference(para_from,[status(thm),theory(equality)],[264,17]),
    [iquote('para_from,264.1.1,16.1.1.2.1.1.1')] ).

cnf(294,plain,
    multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) = multiply(inverse(multiply(D,B)),multiply(D,A)),
    inference(para_from,[status(thm),theory(equality)],[264,201]),
    [iquote('para_from,264.1.1,201.1.1.2')] ).

cnf(295,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(A),A))))))) = A,
    inference(para_from,[status(thm),theory(equality)],[264,178]),
    [iquote('para_from,264.1.1,177.1.1.1.1.2.1.1.1')] ).

cnf(301,plain,
    inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(A)),inverse(A))))))) = A,
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[264,5]),59,59,59]),
    [iquote('para_from,264.1.1,5.1.1.1.2.1.1.1,demod,59,59,59')] ).

cnf(312,plain,
    multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))) = C,
    inference(para_from,[status(thm),theory(equality)],[264,196]),
    [iquote('para_from,264.1.1,196.1.1.1.1')] ).

cnf(323,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(D),D))))))) = C,
    inference(para_from,[status(thm),theory(equality)],[264,178]),
    [iquote('para_from,264.1.1,177.1.1.1.1.2.1.2.1')] ).

cnf(336,plain,
    multiply(multiply(inverse(A),A),a2) != a2,
    inference(para_from,[status(thm),theory(equality)],[264,1]),
    [iquote('para_from,264.1.1,1.1.1.1')] ).

cnf(338,plain,
    multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),multiply(inverse(D),D)),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[294])]),
    [iquote('copy,294,flip.1')] ).

cnf(340,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))))) = A,
    inference(para_into,[status(thm),theory(equality)],[295,264]),
    [iquote('para_into,295.1.1.1.1.2.1.2.1,264.1.1')] ).

cnf(352,plain,
    multiply(A,multiply(inverse(B),B)) = multiply(A,multiply(inverse(C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[294,10]),323,225]),
    [iquote('para_into,294.1.1.1.1,10.1.1,demod,323,225')] ).

cnf(362,plain,
    multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C)),
    inference(para_into,[status(thm),theory(equality)],[352,264]),
    [iquote('para_into,352.1.1,264.1.1')] ).

cnf(365,plain,
    multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) = multiply(inverse(C),C),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[362])]),
    [iquote('copy,362,flip.1')] ).

cnf(368,plain,
    inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(D),D)))))))) = A,
    inference(para_from,[status(thm),theory(equality)],[352,340]),
    [iquote('para_from,352.1.1,340.1.1.1.1.2.1.2.1')] ).

cnf(374,plain,
    multiply(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),a2) != a2,
    inference(para_from,[status(thm),theory(equality)],[352,336]),
    [iquote('para_from,352.1.1,336.1.1.1')] ).

cnf(487,plain,
    inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))) = A,
    inference(para_into,[status(thm),theory(equality)],[301,264]),
    [iquote('para_into,301.1.1.1.2.1.2.1,264.1.1')] ).

cnf(493,plain,
    inverse(multiply(inverse(A),multiply(inverse(B),B))) = A,
    inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[487,487]),487]),
    [iquote('para_into,486.1.1.1.2.1.2,486.1.1,demod,487')] ).

cnf(532,plain,
    inverse(inverse(multiply(A,multiply(inverse(B),B)))) = A,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[368]),493,493]),
    [iquote('back_demod,368,demod,493,493')] ).

cnf(557,plain,
    multiply(A,multiply(inverse(A),B)) = multiply(B,multiply(inverse(C),C)),
    inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[487,338]),487]),
    [iquote('para_from,486.1.1,338.1.1.1,demod,487')] ).

cnf(572,plain,
    multiply(A,multiply(inverse(B),B)) = multiply(C,multiply(inverse(C),A)),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[557])]),
    [iquote('copy,557,flip.1')] ).

cnf(586,plain,
    inverse(multiply(inverse(A),A)) = multiply(inverse(B),B),
    inference(para_into,[status(thm),theory(equality)],[493,365]),
    [iquote('para_into,492.1.1.1,365.1.1')] ).

cnf(592,plain,
    multiply(inverse(A),A) = inverse(multiply(inverse(B),B)),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[586])]),
    [iquote('copy,586,flip.1')] ).

cnf(643,plain,
    multiply(inverse(multiply(inverse(A),A)),a2) != a2,
    inference(para_from,[status(thm),theory(equality)],[592,374]),
    [iquote('para_from,592.1.1,374.1.1.1')] ).

cnf(649,plain,
    inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))) = A,
    inference(para_from,[status(thm),theory(equality)],[592,493]),
    [iquote('para_from,592.1.1,492.1.1.1.2')] ).

cnf(664,plain,
    multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(inverse(multiply(B,C))))) = C,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[312]),649]),
    [iquote('back_demod,312,demod,649')] ).

cnf(670,plain,
    multiply(inverse(inverse(A)),multiply(inverse(B),B)) = A,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[289]),649]),
    [iquote('back_demod,289,demod,649')] ).

cnf(886,plain,
    multiply(A,multiply(inverse(A),inverse(inverse(B)))) = B,
    inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[572,670])]),
    [iquote('para_into,572.1.1,670.1.1,flip.1')] ).

cnf(890,plain,
    inverse(inverse(multiply(A,multiply(inverse(A),B)))) = B,
    inference(para_from,[status(thm),theory(equality)],[572,532]),
    [iquote('para_from,572.1.1,532.1.1.1.1')] ).

cnf(894,plain,
    inverse(inverse(multiply(A,B))) = multiply(inverse(inverse(A)),inverse(inverse(B))),
    inference(para_into,[status(thm),theory(equality)],[890,886]),
    [iquote('para_into,890.1.1.1.1.2,885.1.1')] ).

cnf(895,plain,
    multiply(inverse(multiply(inverse(A),A)),B) = B,
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[664]),894,886]),
    [iquote('back_demod,664,demod,894,886')] ).

cnf(897,plain,
    $false,
    inference(binary,[status(thm)],[895,643]),
    [iquote('binary,895.1,643.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 05:34:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.12/2.33  ----- Otter 3.3f, August 2004 -----
% 2.12/2.33  The process was started by sandbox on n020.cluster.edu,
% 2.12/2.33  Wed Jul 27 05:34:38 2022
% 2.12/2.33  The command was "./otter".  The process ID is 3486.
% 2.12/2.33  
% 2.12/2.33  set(prolog_style_variables).
% 2.12/2.33  set(auto).
% 2.12/2.33     dependent: set(auto1).
% 2.12/2.33     dependent: set(process_input).
% 2.12/2.33     dependent: clear(print_kept).
% 2.12/2.33     dependent: clear(print_new_demod).
% 2.12/2.33     dependent: clear(print_back_demod).
% 2.12/2.33     dependent: clear(print_back_sub).
% 2.12/2.33     dependent: set(control_memory).
% 2.12/2.33     dependent: assign(max_mem, 12000).
% 2.12/2.33     dependent: assign(pick_given_ratio, 4).
% 2.12/2.33     dependent: assign(stats_level, 1).
% 2.12/2.33     dependent: assign(max_seconds, 10800).
% 2.12/2.33  clear(print_given).
% 2.12/2.33  
% 2.12/2.33  list(usable).
% 2.12/2.33  0 [] A=A.
% 2.12/2.33  0 [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))))=C.
% 2.12/2.33  0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 2.12/2.33  end_of_list.
% 2.12/2.33  
% 2.12/2.33  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 2.12/2.33  
% 2.12/2.33  All clauses are units, and equality is present; the
% 2.12/2.33  strategy will be Knuth-Bendix with positive clauses in sos.
% 2.12/2.33  
% 2.12/2.33     dependent: set(knuth_bendix).
% 2.12/2.33     dependent: set(anl_eq).
% 2.12/2.33     dependent: set(para_from).
% 2.12/2.33     dependent: set(para_into).
% 2.12/2.33     dependent: clear(para_from_right).
% 2.12/2.33     dependent: clear(para_into_right).
% 2.12/2.33     dependent: set(para_from_vars).
% 2.12/2.33     dependent: set(eq_units_both_ways).
% 2.12/2.33     dependent: set(dynamic_demod_all).
% 2.12/2.33     dependent: set(dynamic_demod).
% 2.12/2.33     dependent: set(order_eq).
% 2.12/2.33     dependent: set(back_demod).
% 2.12/2.33     dependent: set(lrpo).
% 2.12/2.33  
% 2.12/2.33  ------------> process usable:
% 2.12/2.33  ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 2.12/2.33  
% 2.12/2.33  ------------> process sos:
% 2.12/2.33  ** KEPT (pick-wt=3): 2 [] A=A.
% 2.12/2.33  ** KEPT (pick-wt=22): 3 [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))))=C.
% 2.12/2.33  ---> New Demodulator: 4 [new_demod,3] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))))=C.
% 2.12/2.33    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.12/2.33  >>>> Starting back demodulation with 4.
% 2.12/2.33  
% 2.12/2.33  ======= end of input processing =======
% 2.12/2.33  
% 2.12/2.33  =========== start of search ===========
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 39.
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 39.
% 2.12/2.33  
% 2.12/2.33  sos_size=97
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 29.
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 29.
% 2.12/2.33  
% 2.12/2.33  sos_size=148
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 18.
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 18.
% 2.12/2.33  
% 2.12/2.33  sos_size=330
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 13.
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Resetting weight limit to 13.
% 2.12/2.33  
% 2.12/2.33  sos_size=313
% 2.12/2.33  
% 2.12/2.33  -------- PROOF -------- 
% 2.12/2.33  
% 2.12/2.33  ----> UNIT CONFLICT at   0.33 sec ----> 897 [binary,895.1,643.1] $F.
% 2.12/2.33  
% 2.12/2.33  Length of proof is 50.  Level of proof is 22.
% 2.12/2.33  
% 2.12/2.33  ---------------- PROOF ----------------
% 2.12/2.33  % SZS status Unsatisfiable
% 2.12/2.33  % SZS output start Refutation
% See solution above
% 2.12/2.33  ------------ end of proof -------------
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Search stopped by max_proofs option.
% 2.12/2.33  
% 2.12/2.33  
% 2.12/2.33  Search stopped by max_proofs option.
% 2.12/2.33  
% 2.12/2.33  ============ end of search ============
% 2.12/2.33  
% 2.12/2.33  -------------- statistics -------------
% 2.12/2.33  clauses given                 80
% 2.12/2.33  clauses generated           8494
% 2.12/2.33  clauses kept                 700
% 2.12/2.33  clauses forward subsumed    2221
% 2.12/2.33  clauses back subsumed         17
% 2.12/2.33  Kbytes malloced             7812
% 2.12/2.33  
% 2.12/2.33  ----------- times (seconds) -----------
% 2.12/2.33  user CPU time          0.33          (0 hr, 0 min, 0 sec)
% 2.12/2.33  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.12/2.33  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.12/2.33  
% 2.12/2.33  That finishes the proof of the theorem.
% 2.12/2.33  
% 2.12/2.33  Process 3486 finished Wed Jul 27 05:34:40 2022
% 2.12/2.33  Otter interrupted
% 2.12/2.33  PROOF FOUND
%------------------------------------------------------------------------------