TSTP Solution File: GRP202-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n006.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 08:45:56 EDT 2022
% Result : Unsatisfiable 10.34s 10.71s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 8
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 5 RR)
% Number of literals : 91 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP202-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,identity),A),
file('GRP202-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,left_division(A,B)),B),
file('GRP202-1.p',unknown),
[] ).
cnf(4,plain,
equal(left_division(A,multiply(A,B)),B),
file('GRP202-1.p',unknown),
[] ).
cnf(5,plain,
equal(multiply(right_division(A,B),B),A),
file('GRP202-1.p',unknown),
[] ).
cnf(6,plain,
equal(right_division(multiply(A,B),B),A),
file('GRP202-1.p',unknown),
[] ).
cnf(9,plain,
equal(multiply(multiply(multiply(A,B),A),C),multiply(A,multiply(B,multiply(A,C)))),
file('GRP202-1.p',unknown),
[] ).
cnf(10,plain,
~ equal(multiply(multiply(a,multiply(b,c)),a),multiply(multiply(a,b),multiply(c,a))),
file('GRP202-1.p',unknown),
[] ).
cnf(12,plain,
equal(left_division(identity,A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,1]),1]),
[iquote('para(3,1),flip(1)')] ).
cnf(14,plain,
equal(left_division(A,A),identity),
inference(para,[status(thm),theory(equality)],[2,4]),
[iquote('para(2,4)')] ).
cnf(16,plain,
equal(left_division(right_division(A,B),A),B),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(17,plain,
equal(right_division(A,A),identity),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(18,plain,
equal(right_division(A,left_division(B,A)),B),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(22,plain,
equal(multiply(multiply(A,B),A),multiply(A,multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,2]),2]),1]),
[iquote('para(9,2),demod([2]),flip(1)')] ).
cnf(23,plain,
~ equal(multiply(a,multiply(multiply(b,c),a)),multiply(multiply(a,b),multiply(c,a))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),22]),
[iquote('back_demod(10),demod([22])')] ).
cnf(24,plain,
equal(multiply(multiply(A,multiply(B,A)),C),multiply(A,multiply(B,multiply(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),22]),
[iquote('back_demod(9),demod([22])')] ).
cnf(26,plain,
equal(left_division(multiply(A,B),multiply(A,multiply(B,A))),A),
inference(para,[status(thm),theory(equality)],[22,4]),
[iquote('para(22,4)')] ).
cnf(27,plain,
equal(right_division(multiply(A,multiply(B,A)),A),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[22,6]),
[iquote('para(22,6)')] ).
cnf(31,plain,
equal(left_division(multiply(left_division(A,B),A),multiply(left_division(A,B),B)),left_division(A,B)),
inference(para,[status(thm),theory(equality)],[3,26]),
[iquote('para(3,26)')] ).
cnf(35,plain,
equal(right_division(multiply(A,B),A),multiply(A,right_division(B,A))),
inference(para,[status(thm),theory(equality)],[5,27]),
[iquote('para(5,27)')] ).
cnf(36,plain,
equal(multiply(A,right_division(identity,A)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,35]),17]),1]),
[iquote('para(2,35),demod([17]),flip(1)')] ).
cnf(37,plain,
equal(right_division(identity,A),left_division(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,4]),1]),
[iquote('para(36,4),flip(1)')] ).
cnf(43,plain,
equal(right_division(multiply(A,multiply(B,multiply(A,C))),C),multiply(A,multiply(B,A))),
inference(para,[status(thm),theory(equality)],[24,6]),
[iquote('para(24,6)')] ).
cnf(45,plain,
equal(left_division(left_division(A,identity),identity),A),
inference(para,[status(thm),theory(equality)],[37,18]),
[iquote('para(37,18)')] ).
cnf(47,plain,
equal(multiply(multiply(A,multiply(B,multiply(C,multiply(B,A)))),D),multiply(A,multiply(B,multiply(C,multiply(B,multiply(A,D)))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,24]),24]),
[iquote('para(24,24),demod([24])')] ).
cnf(67,plain,
equal(multiply(A,right_division(left_division(A,B),A)),right_division(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,35]),1]),
[iquote('para(3,35),flip(1)')] ).
cnf(96,plain,
equal(right_division(left_division(A,B),A),left_division(A,right_division(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[67,4]),1]),
[iquote('para(67,4),flip(1)')] ).
cnf(98,plain,
equal(multiply(left_division(A,right_division(B,A)),A),left_division(A,B)),
inference(para,[status(thm),theory(equality)],[96,5]),
[iquote('para(96,5)')] ).
cnf(103,plain,
equal(multiply(left_division(A,B),A),left_division(A,multiply(B,A))),
inference(para,[status(thm),theory(equality)],[6,98]),
[iquote('para(6,98)')] ).
cnf(104,plain,
equal(left_division(left_division(A,multiply(B,A)),multiply(left_division(A,B),B)),left_division(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[31]),103]),
[iquote('back_demod(31),demod([103])')] ).
cnf(117,plain,
equal(right_division(multiply(A,B),C),multiply(A,multiply(right_division(B,multiply(A,C)),A))),
inference(para,[status(thm),theory(equality)],[5,43]),
[iquote('para(5,43)')] ).
cnf(122,plain,
equal(multiply(A,multiply(right_division(B,multiply(A,B)),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),117]),
[iquote('back_demod(6),demod([117])')] ).
cnf(125,plain,
equal(multiply(right_division(A,multiply(B,A)),B),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[122,4]),14]),1]),
[iquote('para(122,4),demod([14]),flip(1)')] ).
cnf(128,plain,
equal(left_division(right_division(A,multiply(B,A)),identity),B),
inference(para,[status(thm),theory(equality)],[125,4]),
[iquote('para(125,4)')] ).
cnf(150,plain,
equal(multiply(A,right_division(B,multiply(A,B))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,103]),1,14]),
[iquote('para(128,103),demod([1,14])')] ).
cnf(151,plain,
equal(right_division(A,multiply(B,A)),left_division(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[150,4]),1]),
[iquote('para(150,4),flip(1)')] ).
cnf(152,plain,
equal(multiply(multiply(A,multiply(multiply(A,B),multiply(C,multiply(A,multiply(B,A))))),D),multiply(A,multiply(multiply(A,B),multiply(C,multiply(multiply(A,B),multiply(A,D)))))),
inference(para,[status(thm),theory(equality)],[22,47]),
[iquote('para(22,47)')] ).
cnf(158,plain,
equal(multiply(left_division(A,identity),multiply(A,B)),B),
inference(para,[status(thm),theory(equality)],[151,5]),
[iquote('para(151,5)')] ).
cnf(162,plain,
equal(multiply(A,B),left_division(left_division(A,identity),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[158,4]),1]),
[iquote('para(158,4),flip(1)')] ).
cnf(166,plain,
equal(left_division(A,left_division(left_division(A,identity),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[158]),162,162,45]),
[iquote('back_demod(158),demod([162,162,45])')] ).
cnf(172,plain,
equal(left_division(left_division(left_division(left_division(A,identity),left_division(left_division(left_division(left_division(A,identity),B),identity),left_division(left_division(C,identity),left_division(left_division(A,identity),left_division(left_division(B,identity),A))))),identity),D),left_division(left_division(A,identity),left_division(left_division(left_division(left_division(A,identity),B),identity),left_division(left_division(C,identity),left_division(left_division(left_division(left_division(A,identity),B),identity),left_division(left_division(A,identity),D)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[152]),162,162,162,162,162,162,162,162,162,162,162,162,162,162]),
[iquote('back_demod(152),demod([162,162,162,162,162,162,162,162,162,162,162,162,162,162])')] ).
cnf(197,plain,
equal(right_division(left_division(left_division(A,identity),B),C),left_division(left_division(A,identity),left_division(left_division(right_division(B,left_division(left_division(A,identity),C)),identity),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[117]),162,162,162,162]),
[iquote('back_demod(117),demod([162,162,162,162])')] ).
cnf(206,plain,
equal(left_division(left_division(A,left_division(left_division(B,identity),A)),left_division(left_division(left_division(A,B),identity),B)),left_division(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[104]),162,162]),
[iquote('back_demod(104),demod([162,162])')] ).
cnf(207,plain,
equal(left_division(left_division(left_division(A,B),identity),A),left_division(A,left_division(left_division(B,identity),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[103]),162,162]),
[iquote('back_demod(103),demod([162,162])')] ).
cnf(229,plain,
equal(left_division(left_division(left_division(left_division(A,identity),left_division(left_division(B,identity),A)),identity),C),left_division(left_division(A,identity),left_division(left_division(B,identity),left_division(left_division(A,identity),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),162,162,162,162,162,162]),
[iquote('back_demod(24),demod([162,162,162,162,162,162])')] ).
cnf(230,plain,
~ equal(left_division(left_division(a,identity),left_division(left_division(left_division(left_division(b,identity),c),identity),a)),left_division(left_division(left_division(left_division(a,identity),b),identity),left_division(left_division(c,identity),a))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[23]),162,162,162,162,162,162]),
[iquote('back_demod(23),demod([162,162,162,162,162,162])')] ).
cnf(232,plain,
equal(left_division(left_division(right_division(A,B),identity),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),162]),
[iquote('back_demod(5),demod([162])')] ).
cnf(233,plain,
equal(left_division(left_division(A,identity),left_division(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),162]),
[iquote('back_demod(3),demod([162])')] ).
cnf(257,plain,
equal(left_division(left_division(right_division(A,B),identity),left_division(left_division(B,identity),left_division(right_division(A,B),identity))),left_division(left_division(A,identity),left_division(right_division(A,B),identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[232,207]),1]),
[iquote('para(232,207),flip(1)')] ).
cnf(317,plain,
equal(left_division(left_division(left_division(A,left_division(left_division(B,identity),left_division(A,identity))),identity),C),left_division(A,left_division(left_division(B,identity),left_division(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,172]),45,45,14,14,45,12,45,45,14,14,45,14,14,45,12,12]),
[iquote('para(14,172),demod([45,45,14,14,45,12,45,45,14,14,45,14,14,45,12,12])')] ).
cnf(409,plain,
equal(left_division(left_division(left_division(A,identity),left_division(right_division(A,B),identity)),left_division(left_division(A,identity),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[232,206]),257,232]),
[iquote('para(232,206),demod([257,232])')] ).
cnf(420,plain,
equal(left_division(left_division(left_division(A,identity),left_division(right_division(A,left_division(A,B)),identity)),B),A),
inference(para,[status(thm),theory(equality)],[233,409]),
[iquote('para(233,409)')] ).
cnf(421,plain,
equal(left_division(left_division(A,left_division(right_division(left_division(A,identity),left_division(left_division(A,identity),B)),identity)),B),left_division(A,identity)),
inference(para,[status(thm),theory(equality)],[45,420]),
[iquote('para(45,420)')] ).
cnf(499,plain,
equal(left_division(left_division(A,identity),left_division(left_division(right_division(left_division(A,identity),left_division(left_division(A,identity),B)),identity),A)),left_division(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,197]),37]),1]),
[iquote('para(14,197),demod([37]),flip(1)')] ).
cnf(501,plain,
equal(left_division(A,left_division(left_division(right_division(A,left_division(A,B)),identity),left_division(A,identity))),left_division(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,499]),45,45]),
[iquote('para(45,499),demod([45,45])')] ).
cnf(503,plain,
equal(left_division(A,left_division(left_division(right_division(A,B),identity),left_division(A,identity))),left_division(left_division(left_division(A,identity),B),identity)),
inference(para,[status(thm),theory(equality)],[166,501]),
[iquote('para(166,501)')] ).
cnf(504,plain,
equal(left_division(A,left_division(left_division(B,identity),left_division(A,identity))),left_division(left_division(left_division(A,identity),left_division(B,A)),identity)),
inference(para,[status(thm),theory(equality)],[18,503]),
[iquote('para(18,503)')] ).
cnf(512,plain,
equal(left_division(left_division(left_division(A,identity),left_division(left_division(B,identity),A)),identity),left_division(A,left_division(B,left_division(A,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[45,504]),1]),
[iquote('para(45,504),flip(1)')] ).
cnf(514,plain,
equal(left_division(left_division(A,left_division(B,left_division(A,identity))),C),left_division(left_division(A,identity),left_division(left_division(B,identity),left_division(left_division(A,identity),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[229]),512]),
[iquote('back_demod(229),demod([512])')] ).
cnf(515,plain,
equal(left_division(left_division(left_division(A,identity),left_division(B,A)),C),left_division(A,left_division(left_division(B,identity),left_division(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[317]),514,45,45]),
[iquote('back_demod(317),demod([514,45,45])')] ).
cnf(516,plain,
equal(left_division(A,left_division(left_division(B,identity),left_division(A,C))),left_division(left_division(left_division(A,identity),left_division(B,A)),C)),
inference(flip,[status(thm),theory(equality)],[515]),
[iquote('flip(515)')] ).
cnf(517,plain,
equal(left_division(left_division(left_division(A,identity),left_division(B,A)),A),left_division(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,516]),45]),1]),
[iquote('para(14,516),demod([45]),flip(1)')] ).
cnf(518,plain,
equal(left_division(A,right_division(A,B)),left_division(left_division(left_division(A,identity),B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,517]),1]),
[iquote('para(16,517),flip(1)')] ).
cnf(527,plain,
equal(right_division(left_division(A,identity),B),left_division(A,left_division(left_division(A,B),left_division(A,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[518,166]),45]),1]),
[iquote('para(518,166),demod([45]),flip(1)')] ).
cnf(542,plain,
equal(left_division(left_division(left_division(A,identity),B),A),left_division(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[421]),527,166,514,45,166]),
[iquote('back_demod(421),demod([527,166,514,45,166])')] ).
cnf(552,plain,
equal(left_division(left_division(A,B),identity),left_division(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[517]),542]),
[iquote('back_demod(517),demod([542])')] ).
cnf(683,plain,
~ equal(left_division(left_division(a,identity),left_division(left_division(c,left_division(b,identity)),a)),left_division(left_division(b,left_division(a,identity)),left_division(left_division(c,identity),a))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[230]),552,552]),
[iquote('back_demod(230),demod([552,552])')] ).
cnf(692,plain,
equal(left_division(left_division(A,B),B),left_division(B,left_division(left_division(A,identity),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[207]),552]),
[iquote('back_demod(207),demod([552])')] ).
cnf(693,plain,
equal(left_division(A,left_division(left_division(B,identity),A)),left_division(left_division(B,A),A)),
inference(flip,[status(thm),theory(equality)],[692]),
[iquote('flip(692)')] ).
cnf(799,plain,
equal(left_division(left_division(A,B),left_division(left_division(B,A),C)),C),
inference(para,[status(thm),theory(equality)],[552,166]),
[iquote('para(552,166)')] ).
cnf(826,plain,
equal(left_division(left_division(A,identity),left_division(left_division(B,A),A)),left_division(left_division(B,identity),A)),
inference(para,[status(thm),theory(equality)],[693,233]),
[iquote('para(693,233)')] ).
cnf(827,plain,
equal(left_division(left_division(A,identity),B),left_division(left_division(B,identity),left_division(left_division(A,B),B))),
inference(flip,[status(thm),theory(equality)],[826]),
[iquote('flip(826)')] ).
cnf(1023,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(left_division(left_division(A,identity),left_division(left_division(B,A),A)),C)),C),
inference(para,[status(thm),theory(equality)],[827,799]),
[iquote('para(827,799)')] ).
cnf(1712,plain,
equal(left_division(left_division(left_division(A,identity),left_division(left_division(B,C),A)),D),left_division(A,left_division(left_division(C,B),left_division(A,D)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[552,516]),1]),
[iquote('para(552,516),flip(1)')] ).
cnf(1724,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(A,left_division(left_division(A,B),left_division(A,C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1023]),1712]),
[iquote('back_demod(1023),demod([1712])')] ).
cnf(1742,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(A,left_division(left_division(A,B),C))),left_division(left_division(A,identity),C)),
inference(para,[status(thm),theory(equality)],[166,1724]),
[iquote('para(166,1724)')] ).
cnf(3912,plain,
equal(left_division(left_division(A,left_division(B,identity)),left_division(A,C)),left_division(left_division(A,identity),left_division(left_division(B,A),C))),
inference(para,[status(thm),theory(equality)],[799,1742]),
[iquote('para(799,1742)')] ).
cnf(3920,plain,
equal(left_division(left_division(left_division(A,identity),B),left_division(left_division(B,identity),left_division(left_division(A,B),C))),left_division(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3912,233]),552]),
[iquote('para(3912,233),demod([552])')] ).
cnf(3970,plain,
equal(left_division(left_division(left_division(A,B),C),left_division(left_division(C,identity),left_division(left_division(left_division(B,A),C),D))),left_division(C,D)),
inference(para,[status(thm),theory(equality)],[552,3920]),
[iquote('para(552,3920)')] ).
cnf(3971,plain,
equal(left_division(left_division(A,B),left_division(left_division(B,identity),left_division(left_division(left_division(A,identity),B),C))),left_division(B,C)),
inference(para,[status(thm),theory(equality)],[12,3970]),
[iquote('para(12,3970)')] ).
cnf(4243,plain,
equal(left_division(left_division(A,B),left_division(A,C)),left_division(left_division(A,identity),left_division(left_division(left_division(B,identity),A),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3971,233]),552]),
[iquote('para(3971,233),demod([552])')] ).
cnf(4244,plain,
equal(left_division(left_division(A,identity),left_division(left_division(left_division(B,identity),A),C)),left_division(left_division(A,B),left_division(A,C))),
inference(flip,[status(thm),theory(equality)],[4243]),
[iquote('flip(4243)')] ).
cnf(4274,plain,
equal(left_division(A,left_division(left_division(A,B),left_division(A,C))),left_division(left_division(left_division(B,identity),A),C)),
inference(para,[status(thm),theory(equality)],[4244,166]),
[iquote('para(4244,166)')] ).
cnf(4291,plain,
equal(left_division(left_division(left_division(A,B),left_division(A,C)),A),left_division(C,left_division(left_division(B,identity),A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4274,552]),552]),1]),
[iquote('para(4274,552),demod([552]),flip(1)')] ).
cnf(4797,plain,
equal(left_division(left_division(A,left_division(left_division(B,identity),C)),C),left_division(C,left_division(B,left_division(left_division(A,identity),C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4291,692]),552,4291]),
[iquote('para(4291,692),demod([552,4291])')] ).
cnf(4816,plain,
equal(left_division(left_division(A,left_division(left_division(B,C),D)),D),left_division(D,left_division(left_division(C,B),left_division(left_division(A,identity),D)))),
inference(para,[status(thm),theory(equality)],[552,4797]),
[iquote('para(552,4797)')] ).
cnf(4824,plain,
equal(left_division(left_division(A,left_division(B,C)),C),left_division(C,left_division(left_division(B,identity),left_division(left_division(A,identity),C)))),
inference(para,[status(thm),theory(equality)],[12,4816]),
[iquote('para(12,4816)')] ).
cnf(5732,plain,
equal(left_division(left_division(A,left_division(B,identity)),C),left_division(C,left_division(left_division(B,left_division(C,identity)),left_division(left_division(A,identity),C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[542,4824]),552]),
[iquote('para(542,4824),demod([552])')] ).
cnf(5733,plain,
equal(left_division(A,left_division(left_division(B,left_division(A,identity)),left_division(left_division(C,identity),A))),left_division(left_division(C,left_division(B,identity)),A)),
inference(flip,[status(thm),theory(equality)],[5732]),
[iquote('flip(5732)')] ).
cnf(7194,plain,
equal(left_division(left_division(A,identity),left_division(left_division(B,left_division(C,identity)),A)),left_division(left_division(C,left_division(A,identity)),left_division(left_division(B,identity),A))),
inference(para,[status(thm),theory(equality)],[5733,233]),
[iquote('para(5733,233)')] ).
cnf(7195,plain,
$false,
inference(conflict,[status(thm)],[7194,683]),
[iquote('conflict(7194,683)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 13:41:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.34/10.71 ----- EQP 0.9e, May 2009 -----
% 10.34/10.71 The job began on n006.cluster.edu, Tue Jun 14 13:41:27 2022
% 10.34/10.71 The command was "./eqp09e".
% 10.34/10.71
% 10.34/10.71 set(prolog_style_variables).
% 10.34/10.71 set(lrpo).
% 10.34/10.71 set(basic_paramod).
% 10.34/10.71 set(functional_subsume).
% 10.34/10.71 set(ordered_paramod).
% 10.34/10.71 set(prime_paramod).
% 10.34/10.71 set(para_pairs).
% 10.34/10.71 assign(pick_given_ratio,4).
% 10.34/10.71 clear(print_kept).
% 10.34/10.71 clear(print_new_demod).
% 10.34/10.71 clear(print_back_demod).
% 10.34/10.71 clear(print_given).
% 10.34/10.71 assign(max_mem,64000).
% 10.34/10.71 end_of_commands.
% 10.34/10.71
% 10.34/10.71 Usable:
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Sos:
% 10.34/10.71 0 (wt=-1) [] multiply(identity,A) = A.
% 10.34/10.71 0 (wt=-1) [] multiply(A,identity) = A.
% 10.34/10.71 0 (wt=-1) [] multiply(A,left_division(A,B)) = B.
% 10.34/10.71 0 (wt=-1) [] left_division(A,multiply(A,B)) = B.
% 10.34/10.71 0 (wt=-1) [] multiply(right_division(A,B),B) = A.
% 10.34/10.71 0 (wt=-1) [] right_division(multiply(A,B),B) = A.
% 10.34/10.71 0 (wt=-1) [] multiply(A,right_inverse(A)) = identity.
% 10.34/10.71 0 (wt=-1) [] multiply(left_inverse(A),A) = identity.
% 10.34/10.71 0 (wt=-1) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 10.34/10.71 0 (wt=-1) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Demodulators:
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Passive:
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Starting to process input.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 10.34/10.71 1 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 2 (wt=5) [] multiply(A,identity) = A.
% 10.34/10.71 2 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 10.34/10.71 3 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 10.34/10.71 4 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 10.34/10.71 5 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 10.34/10.71 6 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 10.34/10.71 7 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 10.34/10.71 8 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 9 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 10.34/10.71 9 is a new demodulator.
% 10.34/10.71
% 10.34/10.71 ** KEPT: 10 (wt=15) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 10.34/10.71 ---------------- PROOF FOUND ----------------
% 10.34/10.71 % SZS status Unsatisfiable
% 10.34/10.71
% 10.34/10.71
% 10.34/10.71 After processing input:
% 10.34/10.71
% 10.34/10.71 Usable:
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Sos:
% 10.34/10.71 1 (wt=5) [] multiply(identity,A) = A.
% 10.34/10.71 2 (wt=5) [] multiply(A,identity) = A.
% 10.34/10.71 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 10.34/10.71 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 10.34/10.71 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 10.34/10.71 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 10.34/10.71 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 10.34/10.71 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 10.34/10.71 9 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 10.34/10.71 10 (wt=15) [] -(multiply(multiply(a,multiply(b,c)),a) = multiply(multiply(a,b),multiply(c,a))).
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Demodulators:
% 10.34/10.71 1 (wt=5) [] multiply(identity,A) = A.
% 10.34/10.71 2 (wt=5) [] multiply(A,identity) = A.
% 10.34/10.71 3 (wt=7) [] multiply(A,left_division(A,B)) = B.
% 10.34/10.71 4 (wt=7) [] left_division(A,multiply(A,B)) = B.
% 10.34/10.71 5 (wt=7) [] multiply(right_division(A,B),B) = A.
% 10.34/10.71 6 (wt=7) [] right_division(multiply(A,B),B) = A.
% 10.34/10.71 7 (wt=6) [] multiply(A,right_inverse(A)) = identity.
% 10.34/10.71 8 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 10.34/10.71 9 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 Passive:
% 10.34/10.71 end_of_list.
% 10.34/10.71
% 10.34/10.71 UNIT CONFLICT from 7194 and 683 at 9.31 seconds.
% 10.34/10.71
% 10.34/10.71 ---------------- PROOF ----------------
% 10.34/10.71 % SZS output start Refutation
% See solution above
% 10.34/10.72 ------------ end of proof -------------
% 10.34/10.72
% 10.34/10.72
% 10.34/10.72 ------------- memory usage ------------
% 10.34/10.72 Memory dynamically allocated (tp_alloc): 45410.
% 10.34/10.72 type (bytes each) gets frees in use avail bytes
% 10.34/10.72 sym_ent ( 96) 60 0 60 0 5.6 K
% 10.34/10.72 term ( 16) 3102320 2563722 538598 84 10493.1 K
% 10.34/10.72 gen_ptr ( 8) 4223004 565380 3657624 90 28575.9 K
% 10.34/10.72 context ( 808) 1593127 1593125 2 6 6.3 K
% 10.34/10.72 trail ( 12) 2551525 2551525 0 7 0.1 K
% 10.34/10.72 bt_node ( 68) 307237 307234 3 60 4.2 K
% 10.34/10.72 ac_position (285432) 0 0 0 0 0.0 K
% 10.34/10.72 ac_match_pos (14044) 0 0 0 0 0.0 K
% 10.34/10.72 ac_match_free_vars_pos (4020)
% 10.34/10.72 0 0 0 0 0.0 K
% 10.34/10.72 discrim ( 12) 619110 268912 350198 720 4112.3 K
% 10.34/10.72 flat ( 40) 9282953 9282953 0 699 27.3 K
% 10.34/10.72 discrim_pos ( 12) 145772 145772 0 1 0.0 K
% 10.34/10.72 fpa_head ( 12) 5120 0 5120 0 60.0 K
% 10.34/10.72 fpa_tree ( 28) 94223 94223 0 115 3.1 K
% 10.34/10.72 fpa_pos ( 36) 13369 13369 0 1 0.0 K
% 10.34/10.72 literal ( 12) 31715 24521 7194 1 84.3 K
% 10.34/10.72 clause ( 24) 31715 24521 7194 1 168.6 K
% 10.34/10.72 list ( 12) 6234 6178 56 5 0.7 K
% 10.34/10.72 list_pos ( 20) 34059 15354 18705 0 365.3 K
% 10.34/10.72 pair_index ( 40) 2 0 2 0 0.1 K
% 10.34/10.72
% 10.34/10.72 -------------- statistics -------------
% 10.34/10.72 Clauses input 10
% 10.34/10.72 Usable input 0
% 10.34/10.72 Sos input 10
% 10.34/10.72 Demodulators input 0
% 10.34/10.72 Passive input 0
% 10.34/10.72
% 10.34/10.72 Processed BS (before search) 10
% 10.34/10.72 Forward subsumed BS 0
% 10.34/10.72 Kept BS 10
% 10.34/10.72 New demodulators BS 9
% 10.34/10.72 Back demodulated BS 0
% 10.34/10.72
% 10.34/10.72 Clauses or pairs given 12432
% 10.34/10.72 Clauses generated 22169
% 10.34/10.72 Forward subsumed 14985
% 10.34/10.72 Deleted by weight 0
% 10.34/10.72 Deleted by variable count 0
% 10.34/10.72 Kept 7184
% 10.34/10.72 New demodulators 6166
% 10.34/10.72 Back demodulated 3130
% 10.34/10.72 Ordered paramod prunes 0
% 10.34/10.72 Basic paramod prunes 47691
% 10.34/10.72 Prime paramod prunes 5296
% 10.34/10.72 Semantic prunes 0
% 10.34/10.72
% 10.34/10.72 Rewrite attmepts 1237371
% 10.34/10.72 Rewrites 138946
% 10.34/10.72
% 10.34/10.72 FPA overloads 0
% 10.34/10.72 FPA underloads 0
% 10.34/10.72
% 10.34/10.72 Usable size 0
% 10.34/10.72 Sos size 4063
% 10.34/10.72 Demodulators size 3386
% 10.34/10.72 Passive size 0
% 10.34/10.72 Disabled size 3130
% 10.34/10.72
% 10.34/10.72 Proofs found 1
% 10.34/10.72
% 10.34/10.72 ----------- times (seconds) ----------- Tue Jun 14 13:41:37 2022
% 10.34/10.72
% 10.34/10.72 user CPU time 9.31 (0 hr, 0 min, 9 sec)
% 10.34/10.72 system CPU time 0.33 (0 hr, 0 min, 0 sec)
% 10.34/10.72 wall-clock time 10 (0 hr, 0 min, 10 sec)
% 10.34/10.72 input time 0.00
% 10.34/10.72 paramodulation time 0.19
% 10.34/10.72 demodulation time 0.62
% 10.34/10.72 orient time 0.06
% 10.34/10.72 weigh time 0.02
% 10.34/10.72 forward subsume time 0.06
% 10.34/10.72 back demod find time 7.43
% 10.34/10.72 conflict time 0.01
% 10.34/10.72 LRPO time 0.03
% 10.34/10.72 store clause time 0.64
% 10.34/10.72 disable clause time 0.13
% 10.34/10.72 prime paramod time 0.06
% 10.34/10.72 semantics time 0.00
% 10.34/10.72
% 10.34/10.72 EQP interrupted
%------------------------------------------------------------------------------