TSTP Solution File: GRP501-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 08:47:42 EDT 2022
% Result : Unsatisfiable 1.40s 1.81s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 147 ( 147 unt; 0 nHn; 2 RR)
% Number of literals : 147 ( 0 equ; 1 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 : 667 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))),C),
file('GRP501-1.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(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))),D),
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(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP501-1.p',unknown),
[] ).
cnf(9,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(D,A))),multiply(double_divide(E,double_divide(F,E)),multiply(double_divide(F,D),C))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(10,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,C),D)),double_divide(inverse(E),multiply(double_divide(F,double_divide(inverse(D),F)),multiply(C,E)))),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(58,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(inverse(C),D)),C)),D),
inference(para,[status(thm),theory(equality)],[9,3]),
[iquote('para(9,3)')] ).
cnf(59,plain,
equal(double_divide(inverse(multiply(double_divide(A,double_divide(inverse(B),C)),B)),multiply(double_divide(D,double_divide(E,D)),C)),double_divide(A,E)),
inference(para,[status(thm),theory(equality)],[58,3]),
[iquote('para(58,3)')] ).
cnf(85,plain,
equal(double_divide(inverse(multiply(double_divide(A,B),C)),multiply(double_divide(D,double_divide(E,D)),double_divide(inverse(F),multiply(double_divide(G,double_divide(inverse(C),G)),multiply(B,F))))),double_divide(A,E)),
inference(para,[status(thm),theory(equality)],[10,3]),
[iquote('para(10,3)')] ).
cnf(86,plain,
equal(double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(C,double_divide(inverse(A),C)),multiply(D,B)))),D),
inference(para,[status(thm),theory(equality)],[10,3]),
[iquote('para(10,3)')] ).
cnf(87,plain,
equal(double_divide(multiply(A,B),double_divide(inverse(C),multiply(double_divide(D,double_divide(multiply(A,B),D)),multiply(E,C)))),E),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,86]),2]),
[iquote('para(2,86),demod([2])')] ).
cnf(105,plain,
equal(double_divide(A,inverse(B)),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,double_divide(E,double_divide(A,E))),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,9]),85]),
[iquote('para(10,9),demod([85])')] ).
cnf(106,plain,
equal(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(B,double_divide(C,double_divide(D,C))),E)),double_divide(D,inverse(E))),
inference(flip,[status(thm),theory(equality)],[105]),
[iquote('flip(105)')] ).
cnf(117,plain,
equal(double_divide(inverse(A),double_divide(B,inverse(A))),double_divide(C,double_divide(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,86]),59]),
[iquote('para(58,86),demod([59])')] ).
cnf(121,plain,
equal(double_divide(multiply(A,B),double_divide(C,multiply(A,B))),double_divide(D,double_divide(C,D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,117]),2]),
[iquote('para(2,117),demod([2])')] ).
cnf(127,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
inference(para,[status(thm),theory(equality)],[117,117]),
[iquote('para(117,117)')] ).
cnf(128,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)],[127,2]),2]),
[iquote('para(127,2),demod([2])')] ).
cnf(130,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),multiply(double_divide(C,D),D)),
inference(para,[status(thm),theory(equality)],[127,128]),
[iquote('para(127,128)')] ).
cnf(141,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),D))),A),
inference(para,[status(thm),theory(equality)],[128,3]),
[iquote('para(128,3)')] ).
cnf(145,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(D,E),E))),double_divide(B,A)),
inference(para,[status(thm),theory(equality)],[2,141]),
[iquote('para(2,141)')] ).
cnf(237,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(A,E),E))),double_divide(B,D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[130,3]),2]),
[iquote('para(130,3),demod([2])')] ).
cnf(247,plain,
equal(double_divide(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(double_divide(A,E),F),F))),double_divide(E,D)),
inference(para,[status(thm),theory(equality)],[128,237]),
[iquote('para(128,237)')] ).
cnf(445,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(double_divide(C,B),double_divide(D,double_divide(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[130,145]),145]),
[iquote('para(130,145),demod([145])')] ).
cnf(446,plain,
equal(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(B,D))),
inference(flip,[status(thm),theory(equality)],[445]),
[iquote('flip(445)')] ).
cnf(646,plain,
equal(multiply(double_divide(A,B),multiply(double_divide(C,double_divide(B,C)),multiply(double_divide(double_divide(D,A),E),E))),multiply(double_divide(multiply(double_divide(D,F),F),G),G)),
inference(para,[status(thm),theory(equality)],[247,128]),
[iquote('para(247,128)')] ).
cnf(647,plain,
equal(multiply(double_divide(multiply(double_divide(A,B),B),C),C),multiply(double_divide(D,E),multiply(double_divide(F,double_divide(E,F)),multiply(double_divide(double_divide(A,D),G),G)))),
inference(flip,[status(thm),theory(equality)],[646]),
[iquote('flip(646)')] ).
cnf(1204,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(double_divide(C,double_divide(A,C)),multiply(D,B)))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,87]),58]),
[iquote('para(58,87),demod([58])')] ).
cnf(1205,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(C,double_divide(D,C)),multiply(A,B))),D)),
inference(para,[status(thm),theory(equality)],[1204,2]),
[iquote('para(1204,2)')] ).
cnf(1206,plain,
equal(multiply(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(D,A))),C),inverse(D)),
inference(flip,[status(thm),theory(equality)],[1205]),
[iquote('flip(1205)')] ).
cnf(1241,plain,
equal(double_divide(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(D,A))),D),double_divide(double_divide(E,C),double_divide(F,double_divide(E,F)))),
inference(para,[status(thm),theory(equality)],[1204,445]),
[iquote('para(1204,445)')] ).
cnf(1244,plain,
equal(double_divide(double_divide(A,B),double_divide(inverse(C),multiply(double_divide(double_divide(D,double_divide(A,D)),double_divide(E,double_divide(B,E))),multiply(F,C)))),F),
inference(para,[status(thm),theory(equality)],[446,1204]),
[iquote('para(446,1204)')] ).
cnf(1274,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,C)),multiply(D,double_divide(inverse(E),multiply(double_divide(F,double_divide(C,F)),multiply(D,E))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1241,2]),2]),
[iquote('para(1241,2),demod([2])')] ).
cnf(1300,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),inverse(D))),multiply(double_divide(E,double_divide(A,E)),multiply(D,C))),
inference(para,[status(thm),theory(equality)],[1206,3]),
[iquote('para(1206,3)')] ).
cnf(1329,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,inverse(C)),double_divide(D,double_divide(B,D))),inverse(E))),multiply(double_divide(F,double_divide(A,F)),multiply(E,C))),
inference(para,[status(thm),theory(equality)],[127,1300]),
[iquote('para(127,1300)')] ).
cnf(1430,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(double_divide(C,inverse(D)),double_divide(E,double_divide(C,E))),inverse(F))),multiply(double_divide(G,double_divide(double_divide(B,A),G)),multiply(F,D))),
inference(para,[status(thm),theory(equality)],[2,1329]),
[iquote('para(2,1329)')] ).
cnf(1431,plain,
equal(multiply(double_divide(A,double_divide(double_divide(B,C),A)),multiply(D,E)),double_divide(multiply(C,B),multiply(double_divide(double_divide(F,inverse(E)),double_divide(G,double_divide(F,G))),inverse(D)))),
inference(flip,[status(thm),theory(equality)],[1430]),
[iquote('flip(1430)')] ).
cnf(1522,plain,
equal(multiply(A,double_divide(inverse(B),multiply(double_divide(double_divide(C,double_divide(D,C)),double_divide(E,double_divide(F,E))),multiply(A,B)))),multiply(double_divide(double_divide(D,F),G),G)),
inference(para,[status(thm),theory(equality)],[1244,128]),
[iquote('para(1244,128)')] ).
cnf(1523,plain,
equal(multiply(double_divide(double_divide(A,B),C),C),multiply(D,double_divide(inverse(E),multiply(double_divide(double_divide(F,double_divide(A,F)),double_divide(G,double_divide(B,G))),multiply(D,E))))),
inference(flip,[status(thm),theory(equality)],[1522]),
[iquote('flip(1522)')] ).
cnf(1531,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(D,C))),multiply(E,double_divide(inverse(F),multiply(double_divide(G,double_divide(double_divide(D,B),G)),multiply(E,F))))),
inference(para,[status(thm),theory(equality)],[127,1274]),
[iquote('para(127,1274)')] ).
cnf(1532,plain,
equal(multiply(A,double_divide(inverse(B),multiply(double_divide(C,double_divide(double_divide(D,E),C)),multiply(A,B)))),multiply(double_divide(F,double_divide(E,F)),double_divide(G,double_divide(D,G)))),
inference(flip,[status(thm),theory(equality)],[1531]),
[iquote('flip(1531)')] ).
cnf(1567,plain,
equal(double_divide(inverse(A),double_divide(B,multiply(double_divide(B,C),C))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[106,141]),2]),
[iquote('para(106,141),demod([2])')] ).
cnf(1568,plain,
equal(double_divide(multiply(A,B),double_divide(C,multiply(double_divide(C,D),D))),double_divide(B,A)),
inference(para,[status(thm),theory(equality)],[2,1567]),
[iquote('para(2,1567)')] ).
cnf(1569,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),inverse(C)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1567,2]),1]),
[iquote('para(1567,2),flip(1)')] ).
cnf(1571,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),multiply(double_divide(inverse(A),D),D)),
inference(para,[status(thm),theory(equality)],[1567,128]),
[iquote('para(1567,128)')] ).
cnf(1573,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),multiply(C,D)),multiply(C,D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1568,2]),2]),1]),
[iquote('para(1568,2),demod([2]),flip(1)')] ).
cnf(1611,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(inverse(C),B)),multiply(C,A))),double_divide(D,multiply(double_divide(D,E),E))),
inference(para,[status(thm),theory(equality)],[1567,3]),
[iquote('para(1567,3)')] ).
cnf(1614,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),multiply(double_divide(inverse(D),E),E))),A),
inference(para,[status(thm),theory(equality)],[1567,141]),
[iquote('para(1567,141)')] ).
cnf(1616,plain,
equal(double_divide(inverse(A),double_divide(inverse(B),multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),A),multiply(E,B)))),E),
inference(para,[status(thm),theory(equality)],[1567,1204]),
[iquote('para(1567,1204)')] ).
cnf(1743,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(B,C),C))),double_divide(multiply(double_divide(D,double_divide(inverse(E),A)),E),double_divide(F,double_divide(D,F)))),
inference(para,[status(thm),theory(equality)],[58,1568]),
[iquote('para(58,1568)')] ).
cnf(1918,plain,
equal(double_divide(multiply(multiply(double_divide(A,B),B),A),multiply(double_divide(C,double_divide(D,C)),multiply(double_divide(multiply(E,D),F),F))),E),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1571,3]),2,2]),
[iquote('para(1571,3),demod([2,2])')] ).
cnf(1919,plain,
equal(inverse(A),multiply(multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(multiply(A,C),D),D)),multiply(multiply(double_divide(E,F),F),E))),
inference(para,[status(thm),theory(equality)],[1918,2]),
[iquote('para(1918,2)')] ).
cnf(1920,plain,
equal(multiply(multiply(double_divide(A,double_divide(B,A)),multiply(double_divide(multiply(C,B),D),D)),multiply(multiply(double_divide(E,F),F),E)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[1919]),
[iquote('flip(1919)')] ).
cnf(2031,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(double_divide(inverse(C),D),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1611,128]),1573]),
[iquote('para(1611,128),demod([1573])')] ).
cnf(2103,plain,
equal(double_divide(A,double_divide(inverse(B),A)),double_divide(multiply(C,B),double_divide(D,double_divide(inverse(C),D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2031,1568]),1568]),
[iquote('para(2031,1568),demod([1568])')] ).
cnf(2107,plain,
equal(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),double_divide(multiply(D,B),double_divide(E,double_divide(inverse(D),E)))),
inference(para,[status(thm),theory(equality)],[127,2103]),
[iquote('para(127,2103)')] ).
cnf(2108,plain,
equal(double_divide(multiply(A,B),double_divide(C,double_divide(inverse(A),C))),double_divide(double_divide(D,inverse(B)),double_divide(E,double_divide(D,E)))),
inference(flip,[status(thm),theory(equality)],[2107]),
[iquote('flip(2107)')] ).
cnf(2109,plain,
equal(multiply(double_divide(multiply(A,B),double_divide(C,double_divide(inverse(A),C))),double_divide(inverse(B),D)),multiply(double_divide(D,E),E)),
inference(para,[status(thm),theory(equality)],[2103,128]),
[iquote('para(2103,128)')] ).
cnf(2121,plain,
equal(double_divide(double_divide(A,multiply(double_divide(A,B),B)),C),double_divide(multiply(D,C),double_divide(E,double_divide(inverse(D),E)))),
inference(para,[status(thm),theory(equality)],[1567,2103]),
[iquote('para(1567,2103)')] ).
cnf(2123,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(C,double_divide(D,multiply(double_divide(D,E),E)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2121,2]),2]),
[iquote('para(2121,2),demod([2])')] ).
cnf(2128,plain,
equal(multiply(double_divide(A,double_divide(inverse(B),A)),multiply(B,C)),multiply(double_divide(D,double_divide(E,D)),double_divide(E,inverse(C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2107,2]),2]),
[iquote('para(2107,2),demod([2])')] ).
cnf(2160,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),multiply(B,D)),multiply(D,double_divide(E,multiply(double_divide(E,F),F)))),
inference(para,[status(thm),theory(equality)],[127,2123]),
[iquote('para(127,2123)')] ).
cnf(2161,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),multiply(double_divide(double_divide(D,inverse(E)),double_divide(F,double_divide(D,F))),multiply(E,A))),
inference(flip,[status(thm),theory(equality)],[2160]),
[iquote('flip(2160)')] ).
cnf(2199,plain,
equal(multiply(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),multiply(double_divide(inverse(D),E),E))),multiply(double_divide(inverse(A),F),F)),
inference(para,[status(thm),theory(equality)],[1614,128]),
[iquote('para(1614,128)')] ).
cnf(2200,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(A,multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),E),multiply(double_divide(inverse(E),F),F)))),
inference(flip,[status(thm),theory(equality)],[2199]),
[iquote('flip(2199)')] ).
cnf(2206,plain,
equal(double_divide(inverse(multiply(A,B)),double_divide(inverse(B),multiply(double_divide(double_divide(C,multiply(double_divide(C,D),D)),E),E))),A),
inference(para,[status(thm),theory(equality)],[128,1616]),
[iquote('para(128,1616)')] ).
cnf(2244,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),double_divide(D,double_divide(inverse(E),D))),multiply(double_divide(multiply(E,B),F),F)),
inference(para,[status(thm),theory(equality)],[2108,128]),
[iquote('para(2108,128)')] ).
cnf(2245,plain,
equal(multiply(double_divide(multiply(A,B),C),C),multiply(double_divide(double_divide(D,inverse(B)),double_divide(E,double_divide(D,E))),double_divide(F,double_divide(inverse(A),F)))),
inference(flip,[status(thm),theory(equality)],[2244]),
[iquote('flip(2244)')] ).
cnf(2246,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(multiply(A,B),D),D)),
inference(para,[status(thm),theory(equality)],[2109,128]),
[iquote('para(2109,128)')] ).
cnf(2276,plain,
equal(double_divide(A,double_divide(multiply(B,C),A)),double_divide(D,double_divide(double_divide(inverse(B),inverse(C)),D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2246,1568]),1568]),
[iquote('para(2246,1568),demod([1568])')] ).
cnf(2278,plain,
equal(double_divide(double_divide(A,multiply(B,C)),double_divide(D,double_divide(A,D))),double_divide(E,double_divide(double_divide(inverse(B),inverse(C)),E))),
inference(para,[status(thm),theory(equality)],[127,2276]),
[iquote('para(127,2276)')] ).
cnf(2292,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(D,double_divide(E,D)),double_divide(E,multiply(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2278,2]),2]),
[iquote('para(2278,2),demod([2])')] ).
cnf(2294,plain,
equal(multiply(double_divide(double_divide(multiply(A,B),inverse(C)),D),D),multiply(double_divide(E,double_divide(F,E)),double_divide(F,multiply(double_divide(B,A),C)))),
inference(para,[status(thm),theory(equality)],[2,2292]),
[iquote('para(2,2292)')] ).
cnf(2295,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(double_divide(C,D),E))),multiply(double_divide(double_divide(multiply(D,C),inverse(E)),F),F)),
inference(flip,[status(thm),theory(equality)],[2294]),
[iquote('flip(2294)')] ).
cnf(2298,plain,
equal(double_divide(A,double_divide(inverse(B),A)),double_divide(C,double_divide(double_divide(multiply(multiply(double_divide(D,E),E),D),inverse(inverse(B))),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1569,2276]),2]),
[iquote('para(1569,2276),demod([2])')] ).
cnf(2305,plain,
equal(multiply(double_divide(double_divide(multiply(multiply(double_divide(A,B),B),A),inverse(inverse(C))),D),D),multiply(double_divide(inverse(C),E),E)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2298,2]),2]),
[iquote('para(2298,2),demod([2])')] ).
cnf(2309,plain,
equal(multiply(double_divide(double_divide(multiply(multiply(double_divide(A,B),B),A),inverse(multiply(C,D))),E),E),multiply(double_divide(multiply(C,D),F),F)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,2305]),2]),
[iquote('para(2,2305),demod([2])')] ).
cnf(2310,plain,
equal(multiply(double_divide(multiply(A,B),C),C),multiply(double_divide(double_divide(multiply(multiply(double_divide(D,E),E),D),inverse(multiply(A,B))),F),F)),
inference(flip,[status(thm),theory(equality)],[2309]),
[iquote('flip(2309)')] ).
cnf(2337,plain,
equal(double_divide(double_divide(A,multiply(double_divide(A,B),B)),double_divide(C,D)),double_divide(E,double_divide(double_divide(inverse(D),inverse(C)),E))),
inference(para,[status(thm),theory(equality)],[1568,2276]),
[iquote('para(1568,2276)')] ).
cnf(2339,plain,
equal(multiply(double_divide(double_divide(inverse(A),inverse(B)),C),C),multiply(double_divide(B,A),double_divide(D,multiply(double_divide(D,E),E)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2337,2]),2]),
[iquote('para(2337,2),demod([2])')] ).
cnf(2362,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),double_divide(C,double_divide(A,C))),multiply(B,D)),multiply(double_divide(E,double_divide(F,E)),double_divide(F,inverse(D)))),
inference(para,[status(thm),theory(equality)],[127,2128]),
[iquote('para(127,2128)')] ).
cnf(2363,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(double_divide(D,inverse(E)),double_divide(F,double_divide(D,F))),multiply(E,C))),
inference(flip,[status(thm),theory(equality)],[2362]),
[iquote('flip(2362)')] ).
cnf(2364,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),multiply(double_divide(E,double_divide(F,E)),double_divide(F,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,2128]),2]),
[iquote('para(128,2128),demod([2])')] ).
cnf(2365,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(D,double_divide(multiply(C,E),D)),multiply(double_divide(E,F),F))),
inference(flip,[status(thm),theory(equality)],[2364]),
[iquote('flip(2364)')] ).
cnf(2388,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,multiply(C,D)))),
inference(para,[status(thm),theory(equality)],[127,2292]),
[iquote('para(127,2292)')] ).
cnf(2389,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(C,D))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,double_divide(inverse(C),inverse(D))))),
inference(flip,[status(thm),theory(equality)],[2388]),
[iquote('flip(2388)')] ).
cnf(2394,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),multiply(double_divide(D,C),double_divide(E,multiply(double_divide(E,F),F)))),
inference(para,[status(thm),theory(equality)],[127,2339]),
[iquote('para(127,2339)')] ).
cnf(2395,plain,
equal(multiply(double_divide(A,B),double_divide(C,multiply(double_divide(C,D),D))),multiply(double_divide(E,double_divide(F,E)),double_divide(F,double_divide(inverse(B),inverse(A))))),
inference(flip,[status(thm),theory(equality)],[2394]),
[iquote('flip(2394)')] ).
cnf(2462,plain,
equal(multiply(double_divide(A,multiply(double_divide(A,B),B)),C),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1743,2]),2,58]),1]),
[iquote('para(1743,2),demod([2,58]),flip(1)')] ).
cnf(2464,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),A)),multiply(double_divide(C,D),D)),
inference(para,[status(thm),theory(equality)],[2462,3]),
[iquote('para(2462,3)')] ).
cnf(2468,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(C,double_divide(A,C)),D),inverse(D))),
inference(para,[status(thm),theory(equality)],[2464,2]),
[iquote('para(2464,2)')] ).
cnf(2469,plain,
equal(multiply(multiply(double_divide(A,double_divide(B,A)),C),inverse(C)),inverse(multiply(double_divide(B,D),D))),
inference(flip,[status(thm),theory(equality)],[2468]),
[iquote('flip(2468)')] ).
cnf(2475,plain,
equal(double_divide(A,multiply(double_divide(A,B),B)),multiply(double_divide(multiply(multiply(double_divide(C,D),D),C),E),E)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2462,1571]),2]),
[iquote('para(2462,1571),demod([2])')] ).
cnf(2479,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,C),double_divide(D,double_divide(B,D))),A)),multiply(double_divide(C,E),E)),
inference(para,[status(thm),theory(equality)],[127,2464]),
[iquote('para(127,2464)')] ).
cnf(2481,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(A,C)),D)),multiply(double_divide(inverse(D),E),E)),
inference(para,[status(thm),theory(equality)],[2464,128]),
[iquote('para(2464,128)')] ).
cnf(2482,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(multiply(double_divide(C,D),D),multiply(double_divide(E,double_divide(C,E)),A))),
inference(flip,[status(thm),theory(equality)],[2481]),
[iquote('flip(2481)')] ).
cnf(2483,plain,
equal(double_divide(multiply(A,B),multiply(double_divide(A,C),C)),multiply(double_divide(B,D),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,2464]),2]),
[iquote('para(128,2464),demod([2])')] ).
cnf(2485,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(C,D),D),multiply(C,A))),
inference(para,[status(thm),theory(equality)],[2483,2]),
[iquote('para(2483,2)')] ).
cnf(2486,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(A,C)),inverse(multiply(double_divide(C,D),D))),
inference(flip,[status(thm),theory(equality)],[2485]),
[iquote('flip(2485)')] ).
cnf(2491,plain,
equal(double_divide(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),multiply(double_divide(A,E),E)),
inference(para,[status(thm),theory(equality)],[2462,2483]),
[iquote('para(2462,2483)')] ).
cnf(2546,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(double_divide(C,A),double_divide(D,double_divide(C,D))),E),inverse(E))),
inference(para,[status(thm),theory(equality)],[2479,2]),
[iquote('para(2479,2)')] ).
cnf(2547,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),double_divide(C,double_divide(A,C))),D),inverse(D)),inverse(multiply(double_divide(B,E),E))),
inference(flip,[status(thm),theory(equality)],[2546]),
[iquote('flip(2546)')] ).
cnf(2603,plain,
equal(double_divide(multiply(double_divide(A,B),B),multiply(double_divide(C,D),D)),double_divide(E,double_divide(multiply(A,C),E))),
inference(para,[status(thm),theory(equality)],[2483,121]),
[iquote('para(2483,121)')] ).
cnf(2654,plain,
equal(double_divide(A,multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(double_divide(D,multiply(double_divide(D,E),E)),F),F))),double_divide(A,C)),
inference(para,[status(thm),theory(equality)],[2462,237]),
[iquote('para(2462,237)')] ).
cnf(2714,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),multiply(double_divide(multiply(double_divide(B,E),E),F),F)),
inference(para,[status(thm),theory(equality)],[2603,128]),
[iquote('para(2603,128)')] ).
cnf(2715,plain,
equal(multiply(double_divide(multiply(double_divide(A,B),B),C),C),multiply(double_divide(D,double_divide(multiply(A,E),D)),multiply(double_divide(E,F),F))),
inference(flip,[status(thm),theory(equality)],[2714]),
[iquote('flip(2714)')] ).
cnf(2874,plain,
equal(double_divide(inverse(A),multiply(double_divide(multiply(multiply(double_divide(B,C),C),B),D),D)),A),
inference(para,[status(thm),theory(equality)],[2475,1567]),
[iquote('para(2475,1567)')] ).
cnf(2878,plain,
equal(multiply(A,multiply(double_divide(multiply(multiply(double_divide(B,C),C),B),D),D)),multiply(double_divide(inverse(A),E),E)),
inference(para,[status(thm),theory(equality)],[2874,128]),
[iquote('para(2874,128)')] ).
cnf(2879,plain,
equal(multiply(double_divide(inverse(A),B),B),multiply(A,multiply(double_divide(multiply(multiply(double_divide(C,D),D),C),E),E))),
inference(flip,[status(thm),theory(equality)],[2878]),
[iquote('flip(2878)')] ).
cnf(2918,plain,
equal(double_divide(inverse(A),multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),A),
inference(para,[status(thm),theory(equality)],[2491,1567]),
[iquote('para(2491,1567)')] ).
cnf(2937,plain,
equal(double_divide(inverse(multiply(A,B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2206]),2918]),
[iquote('back_demod(2206),demod([2918])')] ).
cnf(2941,plain,
equal(multiply(A,double_divide(B,multiply(double_divide(B,C),C))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2937,1567]),1]),
[iquote('para(2937,1567),flip(1)')] ).
cnf(2967,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,double_divide(inverse(C),inverse(D)))),double_divide(D,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2395]),2941]),1]),
[iquote('back_demod(2395),demod([2941]),flip(1)')] ).
cnf(2968,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,multiply(C,D))),double_divide(D,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2389]),2967]),
[iquote('back_demod(2389),demod([2967])')] ).
cnf(2973,plain,
equal(multiply(double_divide(double_divide(multiply(A,B),inverse(C)),D),D),double_divide(C,double_divide(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2295]),2968]),1]),
[iquote('back_demod(2295),demod([2968]),flip(1)')] ).
cnf(2989,plain,
equal(multiply(double_divide(multiply(A,B),C),C),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2310]),2973,1568]),
[iquote('back_demod(2310),demod([2973,1568])')] ).
cnf(2996,plain,
equal(multiply(double_divide(inverse(A),B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2879]),2989,2941]),
[iquote('back_demod(2879),demod([2989,2941])')] ).
cnf(3009,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(double_divide(C,double_divide(A,C)),D)),D),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2482]),2996]),1]),
[iquote('back_demod(2482),demod([2996]),flip(1)')] ).
cnf(3028,plain,
equal(multiply(A,multiply(double_divide(double_divide(B,multiply(double_divide(B,C),C)),D),D)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2200]),2996,2996]),1]),
[iquote('back_demod(2200),demod([2996,2996]),flip(1)')] ).
cnf(3029,plain,
equal(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2654]),3028]),
[iquote('back_demod(2654),demod([3028])')] ).
cnf(3062,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),A),C),inverse(C)),inverse(multiply(double_divide(B,D),D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2547]),3029]),
[iquote('back_demod(2547),demod([3029])')] ).
cnf(3063,plain,
equal(inverse(multiply(double_divide(A,B),B)),multiply(multiply(double_divide(double_divide(C,A),C),D),inverse(D))),
inference(flip,[status(thm),theory(equality)],[3062]),
[iquote('flip(3062)')] ).
cnf(3078,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),multiply(double_divide(double_divide(D,inverse(E)),D),multiply(E,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2363]),3029]),
[iquote('back_demod(2363),demod([3029])')] ).
cnf(3079,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),multiply(B,C)),multiply(double_divide(D,double_divide(E,D)),double_divide(E,inverse(C)))),
inference(flip,[status(thm),theory(equality)],[3078]),
[iquote('flip(3078)')] ).
cnf(3092,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),double_divide(C,double_divide(inverse(D),C))),double_divide(B,D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2245]),2989,3029]),1]),
[iquote('back_demod(2245),demod([2989,3029]),flip(1)')] ).
cnf(3107,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),multiply(B,C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2161]),2941,3029]),1]),
[iquote('back_demod(2161),demod([2941,3029]),flip(1)')] ).
cnf(3108,plain,
equal(multiply(double_divide(A,double_divide(B,A)),double_divide(B,inverse(C))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3079]),3107]),1]),
[iquote('back_demod(3079),demod([3107]),flip(1)')] ).
cnf(3109,plain,
equal(multiply(double_divide(A,double_divide(multiply(B,C),A)),multiply(double_divide(C,D),D)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2365]),3108]),1]),
[iquote('back_demod(2365),demod([3108]),flip(1)')] ).
cnf(3111,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2715]),2989,3109]),
[iquote('back_demod(2715),demod([2989,3109])')] ).
cnf(3118,plain,
equal(multiply(double_divide(double_divide(A,inverse(B)),A),inverse(C)),double_divide(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3092]),3111]),
[iquote('back_demod(3092),demod([3111])')] ).
cnf(3141,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(A,C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3009]),3111]),
[iquote('back_demod(3009),demod([3111])')] ).
cnf(3145,plain,
equal(inverse(multiply(double_divide(A,B),B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2486]),3141]),1]),
[iquote('back_demod(2486),demod([3141]),flip(1)')] ).
cnf(3146,plain,
equal(multiply(multiply(double_divide(double_divide(A,B),A),C),inverse(C)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3063]),3145]),1]),
[iquote('back_demod(3063),demod([3145]),flip(1)')] ).
cnf(3156,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2469]),3111,3145]),
[iquote('back_demod(2469),demod([3111,3145])')] ).
cnf(3157,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3146]),3156]),
[iquote('back_demod(3146),demod([3156])')] ).
cnf(3166,plain,
equal(multiply(inverse(A),inverse(B)),double_divide(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3118]),3157]),
[iquote('back_demod(3118),demod([3157])')] ).
cnf(3950,plain,
equal(multiply(multiply(A,double_divide(A,B)),multiply(multiply(double_divide(C,D),D),C)),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1920]),3111,2989]),
[iquote('back_demod(1920),demod([3111,2989])')] ).
cnf(3951,plain,
equal(inverse(A),multiply(multiply(B,double_divide(B,A)),multiply(multiply(double_divide(C,D),D),C))),
inference(flip,[status(thm),theory(equality)],[3950]),
[iquote('flip(3950)')] ).
cnf(4093,plain,
equal(multiply(A,double_divide(inverse(B),multiply(double_divide(C,D),multiply(A,B)))),multiply(D,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1532]),3111,3111,3111]),
[iquote('back_demod(1532),demod([3111,3111,3111])')] ).
cnf(4096,plain,
equal(multiply(double_divide(double_divide(A,B),C),C),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1523]),3111,3111,4093]),
[iquote('back_demod(1523),demod([3111,3111,4093])')] ).
cnf(4118,plain,
equal(multiply(A,multiply(multiply(double_divide(B,C),C),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3028]),4096]),
[iquote('back_demod(3028),demod([4096])')] ).
cnf(4119,plain,
equal(inverse(A),multiply(B,double_divide(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3951]),4118]),
[iquote('back_demod(3951),demod([4118])')] ).
cnf(4120,plain,
equal(multiply(A,double_divide(A,B)),inverse(B)),
inference(flip,[status(thm),theory(equality)],[4119]),
[iquote('flip(4119)')] ).
cnf(4523,plain,
equal(multiply(double_divide(A,B),multiply(B,multiply(A,C))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[647]),2989,3111,3111,4096]),1]),
[iquote('back_demod(647),demod([2989,3111,3111,4096]),flip(1)')] ).
cnf(4572,plain,
equal(multiply(double_divide(A,B),multiply(C,D)),double_divide(multiply(B,A),double_divide(D,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1431]),3111,3111,3157,3166]),
[iquote('back_demod(1431),demod([3111,3111,3157,3166])')] ).
cnf(4583,plain,
equal(double_divide(multiply(A,B),double_divide(multiply(B,C),A)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4523]),4572]),
[iquote('back_demod(4523),demod([4572])')] ).
cnf(6714,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4583,4120]),2]),
[iquote('para(4583,4120),demod([2])')] ).
cnf(6715,plain,
$false,
inference(conflict,[status(thm)],[6714,4]),
[iquote('conflict(6714,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 14 00:26:36 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.40/1.81 ----- EQP 0.9e, May 2009 -----
% 1.40/1.81 The job began on n026.cluster.edu, Tue Jun 14 00:26:37 2022
% 1.40/1.81 The command was "./eqp09e".
% 1.40/1.81
% 1.40/1.81 set(prolog_style_variables).
% 1.40/1.81 set(lrpo).
% 1.40/1.81 set(basic_paramod).
% 1.40/1.81 set(functional_subsume).
% 1.40/1.81 set(ordered_paramod).
% 1.40/1.81 set(prime_paramod).
% 1.40/1.81 set(para_pairs).
% 1.40/1.81 assign(pick_given_ratio,4).
% 1.40/1.81 clear(print_kept).
% 1.40/1.81 clear(print_new_demod).
% 1.40/1.81 clear(print_back_demod).
% 1.40/1.81 clear(print_given).
% 1.40/1.81 assign(max_mem,64000).
% 1.40/1.81 end_of_commands.
% 1.40/1.81
% 1.40/1.81 Usable:
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Sos:
% 1.40/1.81 0 (wt=-1) [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C.
% 1.40/1.81 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 1.40/1.81 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Demodulators:
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Passive:
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Starting to process input.
% 1.40/1.81
% 1.40/1.81 ** KEPT: 1 (wt=18) [] double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C.
% 1.40/1.81 1 is a new demodulator.
% 1.40/1.81
% 1.40/1.81 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.40/1.81 2 is a new demodulator.
% 1.40/1.81 -> 2 back demodulating 1.
% 1.40/1.81
% 1.40/1.81 ** KEPT: 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.40/1.81 3 is a new demodulator.
% 1.40/1.81
% 1.40/1.81 ** KEPT: 4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.40/1.81 ---------------- PROOF FOUND ----------------
% 1.40/1.81 % SZS status Unsatisfiable
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 After processing input:
% 1.40/1.81
% 1.40/1.81 Usable:
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Sos:
% 1.40/1.81 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.40/1.81 4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.40/1.81 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Demodulators:
% 1.40/1.81 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 1.40/1.81 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(inverse(A),multiply(double_divide(B,double_divide(C,B)),multiply(double_divide(C,D),A))) = D.
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 Passive:
% 1.40/1.81 end_of_list.
% 1.40/1.81
% 1.40/1.81 UNIT CONFLICT from 6714 and 4 at 0.53 seconds.
% 1.40/1.81
% 1.40/1.81 ---------------- PROOF ----------------
% 1.40/1.81 % SZS output start Refutation
% See solution above
% 1.40/1.81 ------------ end of proof -------------
% 1.40/1.81
% 1.40/1.81
% 1.40/1.81 ------------- memory usage ------------
% 1.40/1.81 Memory dynamically allocated (tp_alloc): 11718.
% 1.40/1.81 type (bytes each) gets frees in use avail bytes
% 1.40/1.81 sym_ent ( 96) 58 0 58 0 5.4 K
% 1.40/1.81 term ( 16) 554676 376264 178412 30 3459.0 K
% 1.40/1.81 gen_ptr ( 8) 1045290 212991 832299 146 6503.5 K
% 1.40/1.81 context ( 808) 340574 340572 2 4 4.7 K
% 1.40/1.81 trail ( 12) 81616 81616 0 16 0.2 K
% 1.40/1.81 bt_node ( 68) 71166 71163 3 32 2.3 K
% 1.40/1.81 ac_position (285432) 0 0 0 0 0.0 K
% 1.40/1.81 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.40/1.81 ac_match_free_vars_pos (4020)
% 1.40/1.81 0 0 0 0 0.0 K
% 1.40/1.81 discrim ( 12) 104859 78403 26456 24575 598.0 K
% 1.40/1.81 flat ( 40) 1567183 1567183 0 67 2.6 K
% 1.40/1.81 discrim_pos ( 12) 21224 21224 0 1 0.0 K
% 1.40/1.81 fpa_head ( 12) 11401 0 11401 0 133.6 K
% 1.40/1.81 fpa_tree ( 28) 13326 13326 0 19 0.5 K
% 1.40/1.81 fpa_pos ( 36) 8618 8618 0 1 0.0 K
% 1.40/1.81 literal ( 12) 28734 22020 6714 1 78.7 K
% 1.40/1.81 clause ( 24) 28734 22020 6714 1 157.4 K
% 1.40/1.81 list ( 12) 1963 1907 56 20 0.9 K
% 1.40/1.81 list_pos ( 20) 33692 21707 11985 566 245.1 K
% 1.40/1.81 pair_index ( 40) 2 0 2 0 0.1 K
% 1.40/1.81
% 1.40/1.81 -------------- statistics -------------
% 1.40/1.81 Clauses input 3
% 1.40/1.81 Usable input 0
% 1.40/1.81 Sos input 3
% 1.40/1.81 Demodulators input 0
% 1.40/1.81 Passive input 0
% 1.40/1.81
% 1.40/1.81 Processed BS (before search) 4
% 1.40/1.81 Forward subsumed BS 0
% 1.40/1.81 Kept BS 4
% 1.40/1.81 New demodulators BS 3
% 1.40/1.81 Back demodulated BS 1
% 1.40/1.81
% 1.40/1.81 Clauses or pairs given 11089
% 1.40/1.81 Clauses generated 15658
% 1.40/1.81 Forward subsumed 8948
% 1.40/1.81 Deleted by weight 0
% 1.40/1.81 Deleted by variable count 0
% 1.40/1.81 Kept 6710
% 1.40/1.81 New demodulators 1901
% 1.40/1.81 Back demodulated 4398
% 1.40/1.81 Ordered paramod prunes 0
% 1.40/1.81 Basic paramod prunes 46356
% 1.40/1.81 Prime paramod prunes 313
% 1.40/1.81 Semantic prunes 0
% 1.40/1.81
% 1.40/1.81 Rewrite attmepts 220009
% 1.40/1.81 Rewrites 14742
% 1.40/1.81
% 1.40/1.81 FPA overloads 0
% 1.40/1.81 FPA underloads 0
% 1.40/1.81
% 1.40/1.81 Usable size 0
% 1.40/1.81 Sos size 2314
% 1.40/1.81 Demodulators size 644
% 1.40/1.81 Passive size 0
% 1.40/1.81 Disabled size 4399
% 1.40/1.81
% 1.40/1.81 Proofs found 1
% 1.40/1.81
% 1.40/1.81 ----------- times (seconds) ----------- Tue Jun 14 00:26:37 2022
% 1.40/1.81
% 1.40/1.81 user CPU time 0.53 (0 hr, 0 min, 0 sec)
% 1.40/1.81 system CPU time 0.21 (0 hr, 0 min, 0 sec)
% 1.40/1.81 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.40/1.81 input time 0.00
% 1.40/1.81 paramodulation time 0.04
% 1.40/1.81 demodulation time 0.06
% 1.40/1.81 orient time 0.04
% 1.40/1.81 weigh time 0.01
% 1.40/1.81 forward subsume time 0.02
% 1.40/1.81 back demod find time 0.03
% 1.40/1.81 conflict time 0.00
% 1.40/1.81 LRPO time 0.02
% 1.40/1.81 store clause time 0.17
% 1.40/1.81 disable clause time 0.07
% 1.40/1.81 prime paramod time 0.01
% 1.40/1.81 semantics time 0.00
% 1.40/1.81
% 1.40/1.81 EQP interrupted
%------------------------------------------------------------------------------