TSTP Solution File: GRP447-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 08:47:28 EDT 2022
% Result : Unsatisfiable 1.04s 1.43s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of clauses : 86 ( 86 unt; 0 nHn; 6 RR)
% Number of literals : 86 ( 0 equ; 5 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 228 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),B),
file('GRP447-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(divide(C,C),B))),
file('GRP447-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,divide(divide(B,B),C)),multiply(A,C)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(inverse(A),divide(divide(B,B),A)),
file('GRP447-1.p',unknown),
[] ).
cnf(5,plain,
equal(divide(divide(A,A),B),inverse(B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP447-1.p',unknown),
[] ).
cnf(7,plain,
equal(divide(divide(A,A),B),divide(divide(C,C),B)),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(8,plain,
equal(divide(inverse(divide(A,A)),B),inverse(B)),
inference(para,[status(thm),theory(equality)],[5,5]),
[iquote('para(5,5)')] ).
cnf(9,plain,
equal(inverse(A),divide(inverse(divide(B,B)),A)),
inference(flip,[status(thm),theory(equality)],[8]),
[iquote('flip(8)')] ).
cnf(10,plain,
equal(divide(divide(divide(A,A),divide(B,B)),C),inverse(C)),
inference(para,[status(thm),theory(equality)],[4,8]),
[iquote('para(4,8)')] ).
cnf(12,plain,
equal(divide(A,divide(divide(B,C),divide(divide(divide(A,A),A),C))),divide(divide(divide(divide(divide(A,A),divide(A,A)),B),D),divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),D))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(13,plain,
equal(divide(divide(divide(divide(divide(A,A),divide(A,A)),B),C),divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),C)),divide(A,divide(divide(B,D),divide(divide(divide(A,A),A),D)))),
inference(flip,[status(thm),theory(equality)],[12]),
[iquote('flip(12)')] ).
cnf(18,plain,
equal(divide(inverse(divide(A,A)),B),divide(divide(C,C),B)),
inference(para,[status(thm),theory(equality)],[9,4]),
[iquote('para(9,4)')] ).
cnf(19,plain,
equal(divide(divide(A,A),B),divide(inverse(divide(C,C)),B)),
inference(flip,[status(thm),theory(equality)],[18]),
[iquote('flip(18)')] ).
cnf(31,plain,
equal(divide(divide(divide(A,A),B),divide(divide(divide(multiply(divide(divide(A,A),B),B),C),D),divide(divide(divide(divide(divide(A,A),B),divide(divide(A,A),B)),divide(divide(A,A),B)),D))),C),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(36,plain,
equal(divide(divide(divide(A,A),B),divide(divide(divide(divide(divide(divide(A,A),B),divide(divide(A,A),B)),C),D),divide(multiply(divide(divide(divide(A,A),B),divide(divide(A,A),B)),B),D))),C),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(37,plain,
equal(divide(A,divide(divide(divide(divide(A,A),B),divide(divide(C,C),D)),multiply(divide(divide(A,A),A),D))),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(38,plain,
equal(multiply(A,divide(divide(divide(A,A),A),divide(divide(A,A),B))),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(46,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(47,plain,
equal(multiply(A,B),divide(A,inverse(B))),
inference(flip,[status(thm),theory(equality)],[46]),
[iquote('flip(46)')] ).
cnf(54,plain,
equal(divide(A,multiply(divide(B,B),C)),multiply(A,divide(divide(D,D),C))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(58,plain,
equal(multiply(divide(A,A),B),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[46,5]),
[iquote('para(46,5)')] ).
cnf(62,plain,
equal(divide(divide(A,A),divide(divide(divide(inverse(divide(A,A)),B),C),divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),C))),B),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(63,plain,
equal(divide(A,divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))),B),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(64,plain,
equal(divide(A,divide(inverse(B),divide(divide(divide(A,A),A),B))),divide(A,A)),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(88,plain,
equal(divide(A,divide(divide(divide(B,B),C),divide(divide(divide(A,A),A),C))),divide(A,A)),
inference(para,[status(thm),theory(equality)],[7,1]),
[iquote('para(7,1)')] ).
cnf(188,plain,
~ equal(divide(multiply(a3,b3),inverse(c3)),multiply(a3,multiply(b3,c3))),
inference(para,[status(thm),theory(equality)],[47,6]),
[iquote('para(47,6)')] ).
cnf(242,plain,
equal(divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(B,B)),C),divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),C)),divide(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,12]),64]),1]),
[iquote('para(5,12),demod([64]),flip(1)')] ).
cnf(336,plain,
equal(divide(divide(divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A)))),B),C),divide(divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A)))),divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A)))),C)),divide(divide(divide(A,A),divide(A,A)),divide(divide(B,divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),divide(divide(A,A),divide(A,A)))),divide(A,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,12]),88]),1]),
[iquote('para(13,12),demod([88]),flip(1)')] ).
cnf(433,plain,
~ equal(divide(multiply(a3,b3),divide(divide(A,A),c3)),multiply(a3,multiply(b3,c3))),
inference(para,[status(thm),theory(equality)],[4,188]),
[iquote('para(4,188)')] ).
cnf(434,plain,
~ equal(multiply(a3,multiply(b3,c3)),divide(multiply(a3,b3),divide(divide(A,A),c3))),
inference(flip,[status(thm),theory(equality)],[433]),
[iquote('flip(433)')] ).
cnf(503,plain,
equal(divide(A,A),divide(B,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,12]),63,242]),
[iquote('para(19,12),demod([63,242])')] ).
cnf(504,plain,
equal(divide(divide(A,A),divide(divide(B,C),divide(divide(divide(inverse(divide(D,D)),divide(A,A)),divide(A,A)),C))),divide(divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),B),E),divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),divide(divide(A,A),divide(A,A))),E))),
inference(para,[status(thm),theory(equality)],[19,12]),
[iquote('para(19,12)')] ).
cnf(505,plain,
equal(divide(divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),B),C),divide(divide(divide(divide(divide(A,A),divide(A,A)),divide(divide(A,A),divide(A,A))),divide(divide(A,A),divide(A,A))),C)),divide(divide(A,A),divide(divide(B,D),divide(divide(divide(inverse(divide(E,E)),divide(A,A)),divide(A,A)),D)))),
inference(flip,[status(thm),theory(equality)],[504]),
[iquote('flip(504)')] ).
cnf(835,plain,
equal(inverse(divide(divide(A,A),divide(B,B))),divide(C,C)),
inference(para,[status(thm),theory(equality)],[10,503]),
[iquote('para(10,503)')] ).
cnf(975,plain,
equal(divide(divide(divide(A,A),divide(A,A)),divide(divide(divide(multiply(divide(divide(A,A),divide(A,A)),divide(A,A)),B),C),divide(divide(inverse(divide(divide(A,A),divide(A,A))),divide(divide(A,A),divide(A,A))),C))),B),
inference(para,[status(thm),theory(equality)],[5,31]),
[iquote('para(5,31)')] ).
cnf(1238,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(divide(divide(B,B),divide(B,B)),divide(divide(B,B),divide(B,B))),C),D),divide(multiply(divide(divide(divide(B,B),divide(B,B)),divide(divide(B,B),divide(B,B))),divide(B,B)),D))),C),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,7]),1]),
[iquote('para(36,7),flip(1)')] ).
cnf(1244,plain,
equal(multiply(A,multiply(divide(divide(A,A),A),B)),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[37,3]),1]),
[iquote('para(37,3),flip(1)')] ).
cnf(1340,plain,
equal(divide(A,divide(B,B)),multiply(A,divide(divide(C,C),divide(D,D)))),
inference(para,[status(thm),theory(equality)],[835,46]),
[iquote('para(835,46)')] ).
cnf(1341,plain,
equal(multiply(A,divide(divide(B,B),divide(C,C))),divide(A,divide(D,D))),
inference(flip,[status(thm),theory(equality)],[1340]),
[iquote('flip(1340)')] ).
cnf(2178,plain,
equal(multiply(A,divide(divide(B,B),divide(divide(divide(divide(C,C),divide(C,C)),divide(C,C)),divide(divide(divide(C,C),divide(C,C)),D)))),divide(A,D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,54]),1]),
[iquote('para(38,54),flip(1)')] ).
cnf(2363,plain,
equal(inverse(inverse(divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),divide(divide(divide(A,A),divide(A,A)),B)))),B),
inference(para,[status(thm),theory(equality)],[58,38]),
[iquote('para(58,38)')] ).
cnf(2548,plain,
equal(multiply(divide(A,A),divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),divide(inverse(divide(A,A)),B))),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[62,3]),1]),
[iquote('para(62,3),flip(1)')] ).
cnf(2559,plain,
equal(divide(divide(A,A),inverse(divide(divide(divide(divide(A,A),divide(A,A)),divide(A,A)),divide(inverse(divide(A,A)),B)))),B),
inference(para,[status(thm),theory(equality)],[5,62]),
[iquote('para(5,62)')] ).
cnf(2572,plain,
equal(divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))),B),
inference(para,[status(thm),theory(equality)],[5,63]),
[iquote('para(5,63)')] ).
cnf(2574,plain,
equal(divide(A,divide(divide(inverse(B),inverse(A)),divide(C,C))),B),
inference(para,[status(thm),theory(equality)],[503,2572]),
[iquote('para(503,2572)')] ).
cnf(2575,plain,
equal(divide(A,divide(B,B)),A),
inference(para,[status(thm),theory(equality)],[503,2572]),
[iquote('para(503,2572)')] ).
cnf(2576,plain,
equal(divide(A,divide(inverse(B),inverse(A))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2574]),2575]),
[iquote('back_demod(2574),demod([2575])')] ).
cnf(2582,plain,
equal(divide(divide(A,A),inverse(divide(divide(A,A),divide(inverse(divide(A,A)),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2559]),2575,2575]),
[iquote('back_demod(2559),demod([2575,2575])')] ).
cnf(2587,plain,
equal(multiply(divide(A,A),divide(divide(A,A),divide(inverse(divide(A,A)),B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2548]),2575,2575]),
[iquote('back_demod(2548),demod([2575,2575])')] ).
cnf(2589,plain,
equal(inverse(inverse(divide(divide(A,A),divide(divide(A,A),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2363]),2575,2575,2575]),
[iquote('back_demod(2363),demod([2575,2575,2575])')] ).
cnf(2596,plain,
equal(multiply(A,divide(divide(B,B),divide(divide(C,C),divide(divide(C,C),D)))),divide(A,D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2178]),2575,2575,2575]),
[iquote('back_demod(2178),demod([2575,2575,2575])')] ).
cnf(2653,plain,
equal(multiply(A,divide(B,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1341]),2575,2575]),
[iquote('back_demod(1341),demod([2575,2575])')] ).
cnf(2678,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,B),C),D),divide(divide(B,B),D))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1238]),2575,2575,2575,2575,2575,2575,2653]),
[iquote('back_demod(1238),demod([2575,2575,2575,2575,2575,2575,2653])')] ).
cnf(2686,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(A,A),B),C),divide(inverse(divide(A,A)),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[975]),2575,2575,2653,2575,2575,2575]),
[iquote('back_demod(975),demod([2575,2575,2653,2575,2575,2575])')] ).
cnf(2837,plain,
equal(divide(divide(divide(divide(A,A),B),C),divide(divide(A,A),C)),divide(divide(A,A),divide(divide(B,D),divide(inverse(divide(E,E)),D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[505]),2575,2575,2575,2575,2575,2575,2575,2575,2575,2575]),
[iquote('back_demod(505),demod([2575,2575,2575,2575,2575,2575,2575,2575,2575,2575])')] ).
cnf(2838,plain,
equal(divide(divide(A,A),divide(divide(B,C),divide(inverse(divide(D,D)),C))),divide(divide(divide(divide(A,A),B),E),divide(divide(A,A),E))),
inference(flip,[status(thm),theory(equality)],[2837]),
[iquote('flip(2837)')] ).
cnf(2854,plain,
equal(divide(divide(divide(divide(A,A),B),C),divide(divide(A,A),C)),divide(divide(A,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[336]),2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575]),
[iquote('back_demod(336),demod([2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575,2575])')] ).
cnf(2862,plain,
equal(divide(divide(A,A),divide(divide(B,C),divide(inverse(divide(D,D)),C))),divide(divide(A,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2838]),2854]),
[iquote('back_demod(2838),demod([2854])')] ).
cnf(2867,plain,
equal(divide(divide(A,A),divide(divide(A,A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2686]),2862]),
[iquote('back_demod(2686),demod([2862])')] ).
cnf(2872,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2589]),2867]),
[iquote('back_demod(2589),demod([2867])')] ).
cnf(2876,plain,
equal(divide(divide(A,A),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2678]),2854]),
[iquote('back_demod(2678),demod([2854])')] ).
cnf(2891,plain,
equal(multiply(A,divide(divide(B,B),C)),divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2596]),2876]),
[iquote('back_demod(2596),demod([2876])')] ).
cnf(2992,plain,
equal(divide(divide(A,A),divide(inverse(divide(A,A)),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2587]),2891]),
[iquote('back_demod(2587),demod([2891])')] ).
cnf(2993,plain,
equal(divide(divide(A,A),inverse(B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2582]),2992]),
[iquote('back_demod(2582),demod([2992])')] ).
cnf(3154,plain,
equal(divide(A,divide(B,inverse(A))),inverse(B)),
inference(para,[status(thm),theory(equality)],[2872,2576]),
[iquote('para(2872,2576)')] ).
cnf(3158,plain,
equal(divide(inverse(A),divide(B,A)),inverse(B)),
inference(para,[status(thm),theory(equality)],[2872,3154]),
[iquote('para(2872,3154)')] ).
cnf(3184,plain,
equal(divide(A,multiply(B,A)),inverse(B)),
inference(para,[status(thm),theory(equality)],[46,3154]),
[iquote('para(46,3154)')] ).
cnf(3216,plain,
equal(divide(inverse(multiply(A,B)),inverse(A)),inverse(B)),
inference(para,[status(thm),theory(equality)],[3184,3158]),
[iquote('para(3184,3158)')] ).
cnf(3308,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3216,46]),1]),
[iquote('para(3216,46),flip(1)')] ).
cnf(3319,plain,
equal(divide(A,divide(divide(B,C),divide(inverse(A),C))),inverse(B)),
inference(para,[status(thm),theory(equality)],[2872,2572]),
[iquote('para(2872,2572)')] ).
cnf(3360,plain,
equal(divide(multiply(divide(divide(A,A),A),B),B),inverse(A)),
inference(para,[status(thm),theory(equality)],[1244,3184]),
[iquote('para(1244,3184)')] ).
cnf(3361,plain,
equal(inverse(A),divide(multiply(divide(divide(A,A),A),B),B)),
inference(flip,[status(thm),theory(equality)],[3360]),
[iquote('flip(3360)')] ).
cnf(3362,plain,
equal(divide(multiply(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3361,2872]),2993]),
[iquote('para(3361,2872),demod([2993])')] ).
cnf(3363,plain,
equal(inverse(multiply(A,B)),divide(inverse(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3362,3158]),1]),
[iquote('para(3362,3158),flip(1)')] ).
cnf(3365,plain,
equal(multiply(divide(inverse(A),B),B),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3308]),3363]),
[iquote('back_demod(3308),demod([3363])')] ).
cnf(3383,plain,
equal(multiply(divide(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2872,3365]),2872]),
[iquote('para(2872,3365),demod([2872])')] ).
cnf(3399,plain,
equal(inverse(divide(A,B)),divide(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3383,3184]),1]),
[iquote('para(3383,3184),flip(1)')] ).
cnf(3433,plain,
equal(multiply(A,divide(B,C)),divide(A,divide(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3399,46]),1]),
[iquote('para(3399,46),flip(1)')] ).
cnf(3463,plain,
~ equal(divide(a3,divide(divide(divide(A,A),c3),b3)),divide(multiply(a3,b3),divide(divide(B,B),c3))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,434]),3433]),
[iquote('para(2,434),demod([3433])')] ).
cnf(3881,plain,
equal(divide(A,divide(B,divide(inverse(A),C))),divide(inverse(C),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3362,3319]),3363]),
[iquote('para(3362,3319),demod([3363])')] ).
cnf(3883,plain,
equal(divide(inverse(A),divide(B,divide(A,C))),divide(inverse(C),B)),
inference(para,[status(thm),theory(equality)],[2872,3881]),
[iquote('para(2872,3881)')] ).
cnf(3993,plain,
equal(divide(divide(inverse(A),B),divide(C,B)),divide(inverse(A),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3362,3883]),3363]),
[iquote('para(3362,3883),demod([3363])')] ).
cnf(3994,plain,
equal(divide(divide(A,B),divide(C,B)),divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2872,3993]),2872]),
[iquote('para(2872,3993),demod([2872])')] ).
cnf(4047,plain,
equal(divide(A,divide(B,C)),divide(multiply(A,C),B)),
inference(para,[status(thm),theory(equality)],[3362,3994]),
[iquote('para(3362,3994)')] ).
cnf(4048,plain,
$false,
inference(conflict,[status(thm)],[4047,3463]),
[iquote('conflict(4047,3463)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.09 % Command : tptp2X_and_run_eqp %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 08:46:12 EDT 2022
% 0.08/0.28 % CPUTime :
% 1.04/1.43 ----- EQP 0.9e, May 2009 -----
% 1.04/1.43 The job began on n032.cluster.edu, Tue Jun 14 08:46:13 2022
% 1.04/1.43 The command was "./eqp09e".
% 1.04/1.43
% 1.04/1.43 set(prolog_style_variables).
% 1.04/1.43 set(lrpo).
% 1.04/1.43 set(basic_paramod).
% 1.04/1.43 set(functional_subsume).
% 1.04/1.43 set(ordered_paramod).
% 1.04/1.43 set(prime_paramod).
% 1.04/1.43 set(para_pairs).
% 1.04/1.43 assign(pick_given_ratio,4).
% 1.04/1.43 clear(print_kept).
% 1.04/1.43 clear(print_new_demod).
% 1.04/1.43 clear(print_back_demod).
% 1.04/1.43 clear(print_given).
% 1.04/1.43 assign(max_mem,64000).
% 1.04/1.43 end_of_commands.
% 1.04/1.43
% 1.04/1.43 Usable:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Sos:
% 1.04/1.43 0 (wt=-1) [] divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B.
% 1.04/1.43 0 (wt=-1) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.04/1.43 0 (wt=-1) [] inverse(A) = divide(divide(B,B),A).
% 1.04/1.43 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Demodulators:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Passive:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Starting to process input.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 1 (wt=19) [] divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B.
% 1.04/1.43 1 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 1.04/1.43 clause forward subsumed: 0 (wt=11) [flip(3)] multiply(A,C) = divide(A,divide(divide(B,B),C)).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 1.04/1.43 clause forward subsumed: 0 (wt=8) [flip(5)] inverse(B) = divide(divide(A,A),B).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 6 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.04/1.43 ---------------- PROOF FOUND ----------------
% 1.04/1.43 % SZS status Unsatisfiable
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 After processing input:
% 1.04/1.43
% 1.04/1.43 Usable:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Sos:
% 1.04/1.43 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 1.04/1.43 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 1.04/1.43 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 1.04/1.43 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 1.04/1.43 6 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.04/1.43 1 (wt=19) [] divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B.
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Demodulators:
% 1.04/1.43 1 (wt=19) [] divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B.
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Passive:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 UNIT CONFLICT from 4047 and 3463 at 0.34 seconds.
% 1.04/1.43
% 1.04/1.43 ---------------- PROOF ----------------
% 1.04/1.43 % SZS output start Refutation
% See solution above
% 1.04/1.43 ------------ end of proof -------------
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 ------------- memory usage ------------
% 1.04/1.43 Memory dynamically allocated (tp_alloc): 6347.
% 1.04/1.43 type (bytes each) gets frees in use avail bytes
% 1.04/1.43 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.04/1.43 term ( 16) 396052 305925 90127 123 1746.9 K
% 1.04/1.43 gen_ptr ( 8) 568642 141180 427462 85 3340.2 K
% 1.04/1.43 context ( 808) 261383 261381 2 3 3.9 K
% 1.04/1.43 trail ( 12) 30884 30884 0 7 0.1 K
% 1.04/1.43 bt_node ( 68) 68677 68674 3 24 1.8 K
% 1.04/1.43 ac_position (285432) 0 0 0 0 0.0 K
% 1.04/1.43 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.04/1.43 ac_match_free_vars_pos (4020)
% 1.04/1.43 0 0 0 0 0.0 K
% 1.04/1.43 discrim ( 12) 54070 47643 6427 28520 409.5 K
% 1.04/1.43 flat ( 40) 928999 928999 0 143 5.6 K
% 1.04/1.43 discrim_pos ( 12) 19462 19462 0 1 0.0 K
% 1.04/1.43 fpa_head ( 12) 10992 0 10992 0 128.8 K
% 1.04/1.43 fpa_tree ( 28) 7436 7436 0 41 1.1 K
% 1.04/1.43 fpa_pos ( 36) 4797 4797 0 1 0.0 K
% 1.04/1.43 literal ( 12) 25468 21421 4047 1 47.4 K
% 1.04/1.43 clause ( 24) 25468 21421 4047 1 94.9 K
% 1.04/1.43 list ( 12) 809 753 56 21 0.9 K
% 1.04/1.43 list_pos ( 20) 20536 14989 5547 3131 169.5 K
% 1.04/1.43 pair_index ( 40) 2 0 2 0 0.1 K
% 1.04/1.43
% 1.04/1.43 -------------- statistics -------------
% 1.04/1.43 Clauses input 4
% 1.04/1.43 Usable input 0
% 1.04/1.43 Sos input 4
% 1.04/1.43 Demodulators input 0
% 1.04/1.43 Passive input 0
% 1.04/1.43
% 1.04/1.43 Processed BS (before search) 8
% 1.04/1.43 Forward subsumed BS 2
% 1.04/1.43 Kept BS 6
% 1.04/1.43 New demodulators BS 1
% 1.04/1.43 Back demodulated BS 0
% 1.04/1.43
% 1.04/1.43 Clauses or pairs given 14639
% 1.04/1.43 Clauses generated 13696
% 1.04/1.43 Forward subsumed 9655
% 1.04/1.43 Deleted by weight 0
% 1.04/1.43 Deleted by variable count 0
% 1.04/1.43 Kept 4041
% 1.04/1.43 New demodulators 749
% 1.04/1.43 Back demodulated 3428
% 1.04/1.43 Ordered paramod prunes 0
% 1.04/1.43 Basic paramod prunes 33892
% 1.04/1.43 Prime paramod prunes 953
% 1.04/1.43 Semantic prunes 0
% 1.04/1.43
% 1.04/1.43 Rewrite attmepts 146787
% 1.04/1.43 Rewrites 11476
% 1.04/1.43
% 1.04/1.43 FPA overloads 0
% 1.04/1.43 FPA underloads 0
% 1.04/1.43
% 1.04/1.43 Usable size 0
% 1.04/1.43 Sos size 618
% 1.04/1.43 Demodulators size 265
% 1.04/1.43 Passive size 0
% 1.04/1.43 Disabled size 3428
% 1.04/1.43
% 1.04/1.43 Proofs found 1
% 1.04/1.43
% 1.04/1.43 ----------- times (seconds) ----------- Tue Jun 14 08:46:13 2022
% 1.04/1.43
% 1.04/1.43 user CPU time 0.34 (0 hr, 0 min, 0 sec)
% 1.04/1.43 system CPU time 0.23 (0 hr, 0 min, 0 sec)
% 1.04/1.43 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.04/1.43 input time 0.00
% 1.04/1.43 paramodulation time 0.04
% 1.04/1.43 demodulation time 0.03
% 1.04/1.43 orient time 0.04
% 1.04/1.43 weigh time 0.01
% 1.04/1.43 forward subsume time 0.02
% 1.04/1.43 back demod find time 0.02
% 1.04/1.43 conflict time 0.01
% 1.04/1.43 LRPO time 0.02
% 1.04/1.43 store clause time 0.07
% 1.04/1.43 disable clause time 0.04
% 1.04/1.43 prime paramod time 0.01
% 1.04/1.43 semantics time 0.00
% 1.04/1.43
% 1.04/1.43 EQP interrupted
%------------------------------------------------------------------------------