TSTP Solution File: GRP503-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n005.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 : 600s
% DateTime : Sat Jul 16 08:47:43 EDT 2022
% Result : Unsatisfiable 1.17s 1.59s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 2
% Syntax : Number of clauses : 72 ( 72 unt; 0 nHn; 3 RR)
% Number of literals : 72 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 257 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))),C),
file('GRP503-1.p',unknown),
[] ).
cnf(2,plain,
equal(inverse(double_divide(A,B)),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),2,2]),
[iquote('back_demod(1),demod([2,2])')] ).
cnf(4,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP503-1.p',unknown),
[] ).
cnf(5,plain,
equal(double_divide(double_divide(A,multiply(B,double_divide(C,D))),double_divide(multiply(D,C),multiply(double_divide(A,E),E))),B),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(6,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(C,D),D)),double_divide(C,multiply(A,B)))),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(7,plain,
equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,multiply(D,A))),inverse(D)),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(19,plain,
equal(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(C),multiply(double_divide(D,F),F))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,3]),2]),
[iquote('para(7,3),demod([2])')] ).
cnf(20,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(double_divide(D,inverse(E)),double_divide(multiply(multiply(E,A),B),multiply(double_divide(D,F),F)))),
inference(flip,[status(thm),theory(equality)],[19]),
[iquote('flip(19)')] ).
cnf(25,plain,
equal(double_divide(double_divide(A,multiply(B,C)),double_divide(multiply(multiply(double_divide(C,B),D),E),multiply(double_divide(A,F),F))),double_divide(inverse(D),multiply(double_divide(E,G),G))),
inference(para,[status(thm),theory(equality)],[2,19]),
[iquote('para(2,19)')] ).
cnf(116,plain,
equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(F),multiply(double_divide(inverse(C),G),G))),double_divide(D,F)),
inference(para,[status(thm),theory(equality)],[20,3]),
[iquote('para(20,3)')] ).
cnf(131,plain,
equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(multiply(F,G),multiply(double_divide(inverse(C),H),H))),double_divide(D,double_divide(G,F))),
inference(para,[status(thm),theory(equality)],[2,116]),
[iquote('para(2,116)')] ).
cnf(342,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(inverse(A),multiply(double_divide(B,D),D))),
inference(para,[status(thm),theory(equality)],[19,19]),
[iquote('para(19,19)')] ).
cnf(343,plain,
equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(multiply(double_divide(A,D),D),inverse(C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[342,2]),2]),
[iquote('para(342,2),demod([2])')] ).
cnf(350,plain,
equal(multiply(double_divide(A,B),B),multiply(double_divide(A,C),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[343,3]),3]),
[iquote('para(343,3),demod([3])')] ).
cnf(355,plain,
equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(inverse(D),multiply(double_divide(A,E),E))),double_divide(B,D)),
inference(para,[status(thm),theory(equality)],[350,3]),
[iquote('para(350,3)')] ).
cnf(360,plain,
equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(multiply(D,E),multiply(double_divide(A,F),F))),double_divide(B,double_divide(E,D))),
inference(para,[status(thm),theory(equality)],[2,355]),
[iquote('para(2,355)')] ).
cnf(384,plain,
equal(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(A,double_divide(D,double_divide(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[350,360]),360]),
[iquote('para(350,360),demod([360])')] ).
cnf(385,plain,
equal(multiply(double_divide(A,double_divide(B,A)),C),multiply(double_divide(D,double_divide(B,D)),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[384,2]),2]),
[iquote('para(384,2),demod([2])')] ).
cnf(416,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[385,3]),3]),
[iquote('para(385,3),demod([3])')] ).
cnf(563,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(C,double_divide(A,C)),D))),double_divide(inverse(D),multiply(double_divide(B,E),E))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,25]),131]),
[iquote('para(20,25),demod([131])')] ).
cnf(571,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(C,D),D))),double_divide(multiply(C,A),multiply(double_divide(B,E),E))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[350,563]),2]),
[iquote('para(350,563),demod([2])')] ).
cnf(573,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(double_divide(A,multiply(double_divide(C,E),E)),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[571,2]),2]),
[iquote('para(571,2),demod([2])')] ).
cnf(1006,plain,
equal(double_divide(multiply(A,double_divide(A,multiply(B,C))),multiply(double_divide(inverse(C),D),D)),B),
inference(para,[status(thm),theory(equality)],[571,3]),
[iquote('para(571,3)')] ).
cnf(1007,plain,
equal(inverse(A),multiply(multiply(double_divide(inverse(B),C),C),multiply(D,double_divide(D,multiply(A,B))))),
inference(para,[status(thm),theory(equality)],[1006,2]),
[iquote('para(1006,2)')] ).
cnf(1008,plain,
equal(multiply(multiply(double_divide(inverse(A),B),B),multiply(C,double_divide(C,multiply(D,A)))),inverse(D)),
inference(flip,[status(thm),theory(equality)],[1007]),
[iquote('flip(1007)')] ).
cnf(1092,plain,
equal(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),D),B),
inference(para,[status(thm),theory(equality)],[1006,5]),
[iquote('para(1006,5)')] ).
cnf(1098,plain,
equal(multiply(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),E),E),multiply(B,D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1092,350]),1]),
[iquote('para(1092,350),flip(1)')] ).
cnf(1146,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,B)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1092,3]),1098]),
[iquote('para(1092,3),demod([1098])')] ).
cnf(1149,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(C,multiply(A,B))),C)),
inference(para,[status(thm),theory(equality)],[1146,2]),
[iquote('para(1146,2)')] ).
cnf(1150,plain,
equal(multiply(double_divide(inverse(A),multiply(B,multiply(C,A))),B),inverse(C)),
inference(flip,[status(thm),theory(equality)],[1149]),
[iquote('flip(1149)')] ).
cnf(1169,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),double_divide(inverse(D),multiply(B,multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[1150,1146]),
[iquote('para(1150,1146)')] ).
cnf(1170,plain,
equal(double_divide(inverse(A),multiply(B,multiply(C,A))),double_divide(D,double_divide(inverse(B),multiply(D,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[1169]),
[iquote('flip(1169)')] ).
cnf(1335,plain,
equal(double_divide(multiply(double_divide(inverse(A),B),B),double_divide(multiply(multiply(C,A),D),inverse(C))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1008,1146]),2]),
[iquote('para(1008,1146),demod([2])')] ).
cnf(1465,plain,
equal(double_divide(A,double_divide(B,double_divide(inverse(A),multiply(B,inverse(C))))),C),
inference(para,[status(thm),theory(equality)],[1170,1146]),
[iquote('para(1170,1146)')] ).
cnf(1466,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),multiply(A,inverse(C)))),B),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1465,2]),1]),
[iquote('para(1465,2),flip(1)')] ).
cnf(1468,plain,
equal(double_divide(A,double_divide(B,double_divide(inverse(A),multiply(B,multiply(C,D))))),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[2,1465]),
[iquote('para(2,1465)')] ).
cnf(1492,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(inverse(inverse(C)),multiply(B,inverse(D)))),double_divide(inverse(A),inverse(D)))),C),
inference(para,[status(thm),theory(equality)],[1466,1465]),
[iquote('para(1466,1465)')] ).
cnf(1585,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(inverse(multiply(C,D)),multiply(B,inverse(E)))),double_divide(inverse(A),inverse(E)))),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[1466,1468]),
[iquote('para(1466,1468)')] ).
cnf(1872,plain,
equal(double_divide(multiply(double_divide(A,B),B),double_divide(inverse(C),multiply(double_divide(A,multiply(double_divide(D,E),E)),C))),D),
inference(para,[status(thm),theory(equality)],[573,1146]),
[iquote('para(573,1146)')] ).
cnf(2078,plain,
equal(double_divide(A,double_divide(inverse(multiply(double_divide(B,C),C)),A)),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1872,416]),1]),
[iquote('para(1872,416),flip(1)')] ).
cnf(2079,plain,
equal(multiply(double_divide(inverse(multiply(double_divide(A,B),B)),C),C),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2078,2]),1]),
[iquote('para(2078,2),flip(1)')] ).
cnf(2355,plain,
equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),inverse(C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2078,571]),2079]),1]),
[iquote('para(2078,571),demod([2079]),flip(1)')] ).
cnf(2357,plain,
equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),multiply(C,D)),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[2,2355]),
[iquote('para(2,2355)')] ).
cnf(2388,plain,
equal(double_divide(double_divide(A,B),double_divide(inverse(A),multiply(C,inverse(C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2355,3]),2357]),
[iquote('para(2355,3),demod([2357])')] ).
cnf(2643,plain,
equal(double_divide(multiply(double_divide(inverse(A),B),B),C),multiply(double_divide(multiply(C,A),D),D)),
inference(para,[status(thm),theory(equality)],[2355,1335]),
[iquote('para(2355,1335)')] ).
cnf(2645,plain,
equal(inverse(multiply(double_divide(multiply(A,B),C),C)),multiply(A,multiply(double_divide(inverse(B),D),D))),
inference(para,[status(thm),theory(equality)],[2643,2]),
[iquote('para(2643,2)')] ).
cnf(2646,plain,
equal(multiply(A,multiply(double_divide(inverse(B),C),C)),inverse(multiply(double_divide(multiply(A,B),D),D))),
inference(flip,[status(thm),theory(equality)],[2645]),
[iquote('flip(2645)')] ).
cnf(2689,plain,
equal(double_divide(inverse(multiply(double_divide(multiply(inverse(A),A),B),B)),inverse(C)),C),
inference(para,[status(thm),theory(equality)],[2646,2355]),
[iquote('para(2646,2355)')] ).
cnf(2692,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2689,350]),2079]),
[iquote('para(2689,350),demod([2079])')] ).
cnf(2693,plain,
equal(inverse(multiply(inverse(A),A)),multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[2692]),
[iquote('flip(2692)')] ).
cnf(2703,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[2693,2693]),
[iquote('para(2693,2693)')] ).
cnf(2708,plain,
equal(double_divide(A,double_divide(inverse(inverse(B)),multiply(A,multiply(C,inverse(C))))),B),
inference(para,[status(thm),theory(equality)],[2703,1146]),
[iquote('para(2703,1146)')] ).
cnf(2714,plain,
equal(double_divide(inverse(A),A),multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2693,2355]),2357]),
[iquote('para(2693,2355),demod([2357])')] ).
cnf(2722,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[2714,2714]),
[iquote('para(2714,2714)')] ).
cnf(2740,plain,
equal(multiply(multiply(inverse(A),A),B),multiply(double_divide(inverse(B),C),C)),
inference(para,[status(thm),theory(equality)],[2714,350]),
[iquote('para(2714,350)')] ).
cnf(2771,plain,
equal(double_divide(inverse(multiply(A,B)),double_divide(inverse(B),multiply(inverse(C),C))),A),
inference(para,[status(thm),theory(equality)],[2722,1146]),
[iquote('para(2722,1146)')] ).
cnf(2779,plain,
~ equal(multiply(double_divide(inverse(a2),A),A),a2),
inference(para,[status(thm),theory(equality)],[2740,4]),
[iquote('para(2740,4)')] ).
cnf(2954,plain,
equal(double_divide(double_divide(A,B),double_divide(inverse(A),inverse(multiply(inverse(C),C)))),B),
inference(para,[status(thm),theory(equality)],[2692,2388]),
[iquote('para(2692,2388)')] ).
cnf(2955,plain,
equal(inverse(A),multiply(double_divide(inverse(B),inverse(multiply(inverse(C),C))),double_divide(B,A))),
inference(para,[status(thm),theory(equality)],[2954,2]),
[iquote('para(2954,2)')] ).
cnf(2956,plain,
equal(multiply(double_divide(inverse(A),inverse(multiply(inverse(B),B))),double_divide(A,C)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[2955]),
[iquote('flip(2955)')] ).
cnf(3066,plain,
equal(double_divide(inverse(multiply(A,multiply(inverse(B),B))),multiply(inverse(C),C)),A),
inference(para,[status(thm),theory(equality)],[2714,2771]),
[iquote('para(2714,2771)')] ).
cnf(3145,plain,
equal(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[3066,2714]),
[iquote('para(3066,2714)')] ).
cnf(3168,plain,
equal(multiply(inverse(A),A),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[3145,2693]),
[iquote('para(3145,2693)')] ).
cnf(3488,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,inverse(C))))),inverse(B)),
inference(para,[status(thm),theory(equality)],[3168,1146]),
[iquote('para(3168,1146)')] ).
cnf(3489,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2708]),3488]),
[iquote('back_demod(2708),demod([3488])')] ).
cnf(3574,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(C,multiply(B,inverse(D)))),double_divide(inverse(A),inverse(D)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1492]),3489]),
[iquote('back_demod(1492),demod([3489])')] ).
cnf(3575,plain,
equal(inverse(multiply(A,B)),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1585]),3574]),
[iquote('back_demod(1585),demod([3574])')] ).
cnf(3679,plain,
equal(multiply(double_divide(inverse(A),double_divide(B,inverse(B))),double_divide(A,C)),inverse(C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2956]),3575]),
[iquote('back_demod(2956),demod([3575])')] ).
cnf(3680,plain,
equal(inverse(A),multiply(double_divide(inverse(B),double_divide(C,inverse(C))),double_divide(B,A))),
inference(flip,[status(thm),theory(equality)],[3679]),
[iquote('flip(3679)')] ).
cnf(4281,plain,
equal(multiply(double_divide(inverse(A),double_divide(B,inverse(B))),double_divide(A,inverse(C))),C),
inference(para,[status(thm),theory(equality)],[3680,3489]),
[iquote('para(3680,3489)')] ).
cnf(4282,plain,
$false,
inference(conflict,[status(thm)],[4281,2779]),
[iquote('conflict(4281,2779)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:52:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.17/1.59 ----- EQP 0.9e, May 2009 -----
% 1.17/1.59 The job began on n005.cluster.edu, Tue Jun 14 13:52:39 2022
% 1.17/1.59 The command was "./eqp09e".
% 1.17/1.59
% 1.17/1.59 set(prolog_style_variables).
% 1.17/1.59 set(lrpo).
% 1.17/1.59 set(basic_paramod).
% 1.17/1.59 set(functional_subsume).
% 1.17/1.59 set(ordered_paramod).
% 1.17/1.59 set(prime_paramod).
% 1.17/1.59 set(para_pairs).
% 1.17/1.59 assign(pick_given_ratio,4).
% 1.17/1.59 clear(print_kept).
% 1.17/1.59 clear(print_new_demod).
% 1.17/1.59 clear(print_back_demod).
% 1.17/1.59 clear(print_given).
% 1.17/1.59 assign(max_mem,64000).
% 1.17/1.59 end_of_commands.
% 1.17/1.59
% 1.17/1.59 Usable:
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Sos:
% 1.17/1.59 0 (wt=-1) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 1.17/1.59 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 1.17/1.59 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Demodulators:
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Passive:
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Starting to process input.
% 1.17/1.59
% 1.17/1.59 ** KEPT: 1 (wt=18) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 1.17/1.59 1 is a new demodulator.
% 1.17/1.59
% 1.17/1.59 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.17/1.59 2 is a new demodulator.
% 1.17/1.59 -> 2 back demodulating 1.
% 1.17/1.59
% 1.17/1.59 ** KEPT: 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 1.17/1.59 3 is a new demodulator.
% 1.17/1.59
% 1.17/1.59 ** KEPT: 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.17/1.59 ---------------- PROOF FOUND ----------------
% 1.17/1.59 % SZS status Unsatisfiable
% 1.17/1.59
% 1.17/1.59
% 1.17/1.59 After processing input:
% 1.17/1.59
% 1.17/1.59 Usable:
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Sos:
% 1.17/1.59 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.17/1.59 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.17/1.59 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Demodulators:
% 1.17/1.59 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.17/1.59 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 Passive:
% 1.17/1.59 end_of_list.
% 1.17/1.59
% 1.17/1.59 UNIT CONFLICT from 4281 and 2779 at 0.38 seconds.
% 1.17/1.59
% 1.17/1.59 ---------------- PROOF ----------------
% 1.17/1.59 % SZS output start Refutation
% See solution above
% 1.17/1.59 ------------ end of proof -------------
% 1.17/1.59
% 1.17/1.59
% 1.17/1.59 ------------- memory usage ------------
% 1.17/1.59 Memory dynamically allocated (tp_alloc): 9277.
% 1.17/1.59 type (bytes each) gets frees in use avail bytes
% 1.17/1.59 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.17/1.59 term ( 16) 303567 175961 127606 36 2476.3 K
% 1.17/1.59 gen_ptr ( 8) 648986 33729 615257 71 4807.2 K
% 1.17/1.59 context ( 808) 216554 216552 2 3 3.9 K
% 1.17/1.59 trail ( 12) 11149 11149 0 15 0.2 K
% 1.17/1.59 bt_node ( 68) 54640 54638 2 33 2.3 K
% 1.17/1.59 ac_position (285432) 0 0 0 0 0.0 K
% 1.17/1.59 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.17/1.59 ac_match_free_vars_pos (4020)
% 1.17/1.59 0 0 0 0 0.0 K
% 1.17/1.59 discrim ( 12) 83259 9730 73529 0 861.7 K
% 1.17/1.59 flat ( 40) 853688 853688 0 67 2.6 K
% 1.17/1.59 discrim_pos ( 12) 5541 5541 0 1 0.0 K
% 1.17/1.59 fpa_head ( 12) 12148 0 12148 0 142.4 K
% 1.17/1.59 fpa_tree ( 28) 13351 13351 0 29 0.8 K
% 1.17/1.59 fpa_pos ( 36) 5209 5209 0 1 0.0 K
% 1.17/1.59 literal ( 12) 15459 11178 4281 1 50.2 K
% 1.17/1.59 clause ( 24) 15459 11178 4281 1 100.4 K
% 1.17/1.59 list ( 12) 987 931 56 9 0.8 K
% 1.17/1.59 list_pos ( 20) 15253 3112 12141 0 237.1 K
% 1.17/1.59 pair_index ( 40) 2 0 2 0 0.1 K
% 1.17/1.59
% 1.17/1.59 -------------- statistics -------------
% 1.17/1.59 Clauses input 3
% 1.17/1.59 Usable input 0
% 1.17/1.59 Sos input 3
% 1.17/1.59 Demodulators input 0
% 1.17/1.59 Passive input 0
% 1.17/1.59
% 1.17/1.59 Processed BS (before search) 4
% 1.17/1.59 Forward subsumed BS 0
% 1.17/1.59 Kept BS 4
% 1.17/1.59 New demodulators BS 3
% 1.17/1.59 Back demodulated BS 1
% 1.17/1.59
% 1.17/1.59 Clauses or pairs given 7642
% 1.17/1.59 Clauses generated 8035
% 1.17/1.59 Forward subsumed 3758
% 1.17/1.59 Deleted by weight 0
% 1.17/1.59 Deleted by variable count 0
% 1.17/1.59 Kept 4277
% 1.17/1.59 New demodulators 925
% 1.17/1.59 Back demodulated 730
% 1.17/1.59 Ordered paramod prunes 0
% 1.17/1.59 Basic paramod prunes 34377
% 1.17/1.59 Prime paramod prunes 23
% 1.17/1.59 Semantic prunes 0
% 1.17/1.59
% 1.17/1.59 Rewrite attmepts 122898
% 1.17/1.59 Rewrites 2241
% 1.17/1.59
% 1.17/1.59 FPA overloads 0
% 1.17/1.59 FPA underloads 0
% 1.17/1.59
% 1.17/1.59 Usable size 0
% 1.17/1.59 Sos size 3549
% 1.17/1.59 Demodulators size 763
% 1.17/1.59 Passive size 0
% 1.17/1.59 Disabled size 731
% 1.17/1.59
% 1.17/1.59 Proofs found 1
% 1.17/1.59
% 1.17/1.59 ----------- times (seconds) ----------- Tue Jun 14 13:52:40 2022
% 1.17/1.59
% 1.17/1.59 user CPU time 0.38 (0 hr, 0 min, 0 sec)
% 1.17/1.59 system CPU time 0.12 (0 hr, 0 min, 0 sec)
% 1.17/1.59 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.17/1.59 input time 0.00
% 1.17/1.59 paramodulation time 0.04
% 1.17/1.59 demodulation time 0.03
% 1.17/1.59 orient time 0.03
% 1.17/1.59 weigh time 0.00
% 1.17/1.59 forward subsume time 0.02
% 1.17/1.59 back demod find time 0.01
% 1.17/1.59 conflict time 0.01
% 1.17/1.59 LRPO time 0.01
% 1.17/1.59 store clause time 0.15
% 1.17/1.59 disable clause time 0.03
% 1.17/1.59 prime paramod time 0.01
% 1.17/1.59 semantics time 0.00
% 1.17/1.59
% 1.17/1.59 EQP interrupted
%------------------------------------------------------------------------------