TSTP Solution File: GRP489-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% 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 08:47:39 EDT 2022
% Result : Unsatisfiable 0.72s 1.22s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 7 RR)
% Number of literals : 62 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 149 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)),C),
file('GRP489-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP489-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP489-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(A,double_divide(A,identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),1]),
[iquote('demod([3]),flip(1)')] ).
cnf(5,plain,
~ equal(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2,2,2,2]),1]),
[iquote('demod([2,2,2,2]),flip(1)')] ).
cnf(6,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),C),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),double_divide(D,B))),D),identity)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),double_divide(D,double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,identity),C)),A),identity))),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(9,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),B),identity)),double_divide(B,identity)),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(10,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(identity,identity),double_divide(A,identity)),identity)),identity),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(12,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),identity),identity),double_divide(A,double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,9]),1]),
[iquote('para(4,9),flip(1)')] ).
cnf(14,plain,
equal(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,1]),9]),
[iquote('para(11,1),demod([9])')] ).
cnf(15,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(B,identity),double_divide(C,D))),C),identity))),E),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(E,identity),D)),B),identity)),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(18,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,double_divide(A,C)))),B),identity),C),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(27,plain,
equal(double_divide(identity,double_divide(double_divide(identity,A),identity)),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,9]),4]),
[iquote('para(14,9),demod([4])')] ).
cnf(28,plain,
equal(double_divide(identity,identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,27]),4,14]),1]),
[iquote('para(4,27),demod([4,14]),flip(1)')] ).
cnf(33,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),identity),identity),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),28]),
[iquote('back_demod(12),demod([28])')] ).
cnf(35,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,double_divide(double_divide(C,identity),identity)))),B),identity),double_divide(C,double_divide(double_divide(identity,A),identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,6]),28]),1]),
[iquote('para(4,6),demod([28]),flip(1)')] ).
cnf(44,plain,
equal(double_divide(A,double_divide(B,double_divide(double_divide(double_divide(identity,double_divide(double_divide(B,identity),C)),A),identity))),C),
inference(para,[status(thm),theory(equality)],[7,1]),
[iquote('para(7,1)')] ).
cnf(45,plain,
equal(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(identity,double_divide(double_divide(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,27]),1]),
[iquote('para(27,27),flip(1)')] ).
cnf(47,plain,
equal(double_divide(identity,double_divide(double_divide(double_divide(double_divide(A,identity),identity),identity),identity)),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[33]),45]),
[iquote('back_demod(33),demod([45])')] ).
cnf(50,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,identity),C)),A),identity)),E)),F),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(F,identity),double_divide(G,E))),G),identity)),
inference(para,[status(thm),theory(equality)],[7,6]),
[iquote('para(7,6)')] ).
cnf(51,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,identity),double_divide(E,F))),E),double_divide(double_divide(double_divide(identity,double_divide(double_divide(G,double_divide(double_divide(double_divide(identity,double_divide(double_divide(G,identity),F)),D),identity)),C)),A),identity))),
inference(flip,[status(thm),theory(equality)],[50]),
[iquote('flip(50)')] ).
cnf(57,plain,
equal(double_divide(A,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,B)),A),identity))),B),
inference(para,[status(thm),theory(equality)],[28,44]),
[iquote('para(28,44)')] ).
cnf(61,plain,
equal(double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),identity),double_divide(B,C))),B),identity),identity),double_divide(A,double_divide(C,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),1]),
[iquote('para(1,9),flip(1)')] ).
cnf(62,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),identity))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,57]),28,28,45,45]),
[iquote('para(4,57),demod([28,28,45,45])')] ).
cnf(63,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),identity),double_divide(identity,double_divide(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[62,27]),1]),
[iquote('para(62,27),flip(1)')] ).
cnf(64,plain,
equal(double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(A,identity)),double_divide(B,C))),B),identity),identity),double_divide(A,double_divide(C,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[61]),63]),
[iquote('back_demod(61),demod([63])')] ).
cnf(88,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,identity),C)),A),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(E,identity),double_divide(F,G))),F),identity))),H),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(H,identity),G)),E),identity)),
inference(para,[status(thm),theory(equality)],[7,15]),
[iquote('para(7,15)')] ).
cnf(89,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),C),identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(D,identity),double_divide(E,F))),E),double_divide(double_divide(double_divide(identity,double_divide(double_divide(G,double_divide(double_divide(double_divide(identity,double_divide(double_divide(G,identity),F)),D),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),double_divide(H,B))),H),identity))),A),identity))),
inference(flip,[status(thm),theory(equality)],[88]),
[iquote('flip(88)')] ).
cnf(90,plain,
equal(double_divide(A,double_divide(B,double_divide(double_divide(identity,A),identity))),double_divide(double_divide(B,identity),identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,44]),28]),
[iquote('para(4,44),demod([28])')] ).
cnf(91,plain,
equal(double_divide(double_divide(A,identity),identity),double_divide(B,double_divide(A,double_divide(double_divide(identity,B),identity)))),
inference(flip,[status(thm),theory(equality)],[90]),
[iquote('flip(90)')] ).
cnf(93,plain,
equal(double_divide(double_divide(A,identity),identity),double_divide(identity,double_divide(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,90]),28]),1]),
[iquote('para(28,90),demod([28]),flip(1)')] ).
cnf(94,plain,
equal(double_divide(identity,double_divide(A,identity)),double_divide(B,double_divide(A,double_divide(double_divide(identity,B),identity)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[91]),93]),
[iquote('back_demod(91),demod([93])')] ).
cnf(95,plain,
equal(double_divide(A,double_divide(B,double_divide(double_divide(identity,A),identity))),double_divide(identity,double_divide(B,identity))),
inference(flip,[status(thm),theory(equality)],[94]),
[iquote('flip(94)')] ).
cnf(106,plain,
equal(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(A,identity)),double_divide(B,C))),B),identity)),double_divide(A,double_divide(C,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),93]),
[iquote('back_demod(64),demod([93])')] ).
cnf(107,plain,
equal(double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),identity),double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[63]),93]),
[iquote('back_demod(63),demod([93])')] ).
cnf(108,plain,
equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[62]),93]),
[iquote('back_demod(62),demod([93])')] ).
cnf(116,plain,
equal(double_divide(identity,double_divide(identity,double_divide(A,identity))),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[47]),93,93,27,93]),
[iquote('back_demod(47),demod([93,93,27,93])')] ).
cnf(120,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[108]),116]),
[iquote('back_demod(108),demod([116])')] ).
cnf(121,plain,
equal(double_divide(identity,A),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[116]),120]),
[iquote('back_demod(116),demod([120])')] ).
cnf(122,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(flip,[status(thm),theory(equality)],[121]),
[iquote('flip(121)')] ).
cnf(127,plain,
equal(double_divide(double_divide(identity,A),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),120,120]),
[iquote('back_demod(107),demod([120,120])')] ).
cnf(133,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[95]),127,120]),
[iquote('back_demod(95),demod([127,120])')] ).
cnf(134,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(B,C))),B),double_divide(A,double_divide(C,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[106]),133,133]),
[iquote('back_demod(106),demod([133,133])')] ).
cnf(147,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),C),identity),double_divide(double_divide(double_divide(D,identity),double_divide(E,identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(F,double_divide(double_divide(double_divide(identity,double_divide(double_divide(F,identity),E)),D),identity)),double_divide(double_divide(double_divide(C,identity),double_divide(B,identity)),identity))),A),identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[89]),134,134]),
[iquote('back_demod(89),demod([134,134])')] ).
cnf(148,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(B,identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),B)),A),identity)),double_divide(double_divide(double_divide(D,identity),double_divide(E,identity)),identity))),F),identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(F,identity),E)),D),identity)),
inference(flip,[status(thm),theory(equality)],[147]),
[iquote('flip(147)')] ).
cnf(155,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(B,identity)),identity),double_divide(double_divide(double_divide(C,identity),double_divide(D,identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(E,double_divide(double_divide(double_divide(identity,double_divide(double_divide(E,identity),D)),C),identity)),B)),A),identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[51]),134,134]),
[iquote('back_demod(51),demod([134,134])')] ).
cnf(156,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(B,identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),B)),A),identity)),D)),E),identity)),double_divide(double_divide(double_divide(E,identity),double_divide(D,identity)),identity)),
inference(flip,[status(thm),theory(equality)],[155]),
[iquote('flip(155)')] ).
cnf(165,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(B,identity)),identity),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),93,133,134,127]),
[iquote('back_demod(35),demod([93,133,134,127])')] ).
cnf(166,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(B,identity)),double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,double_divide(double_divide(double_divide(identity,double_divide(double_divide(C,identity),B)),A),identity)),D)),E),identity)),double_divide(D,E)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[156]),165]),
[iquote('back_demod(156),demod([165])')] ).
cnf(167,plain,
equal(double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),C),identity),double_divide(double_divide(B,C),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[148]),165,166]),1]),
[iquote('back_demod(148),demod([165,166]),flip(1)')] ).
cnf(183,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),134,165]),
[iquote('back_demod(18),demod([134,165])')] ).
cnf(198,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(identity,B))),B),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[122,134]),28]),
[iquote('para(122,134),demod([28])')] ).
cnf(222,plain,
equal(double_divide(double_divide(A,double_divide(B,identity)),identity),double_divide(B,double_divide(identity,A))),
inference(para,[status(thm),theory(equality)],[183,165]),
[iquote('para(183,165)')] ).
cnf(228,plain,
~ equal(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),double_divide(double_divide(b3,a3),double_divide(identity,c3))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),222]),
[iquote('back_demod(5),demod([222])')] ).
cnf(229,plain,
equal(double_divide(double_divide(double_divide(A,identity),B),identity),double_divide(double_divide(identity,B),A)),
inference(para,[status(thm),theory(equality)],[183,165]),
[iquote('para(183,165)')] ).
cnf(230,plain,
~ equal(double_divide(double_divide(identity,a3),double_divide(c3,b3)),double_divide(double_divide(b3,a3),double_divide(identity,c3))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[228]),229]),
[iquote('back_demod(228),demod([229])')] ).
cnf(285,plain,
equal(double_divide(double_divide(double_divide(identity,A),B),identity),double_divide(double_divide(identity,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[183,198]),1]),
[iquote('para(183,198),flip(1)')] ).
cnf(295,plain,
equal(double_divide(double_divide(identity,A),double_divide(double_divide(B,identity),C)),double_divide(double_divide(C,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[167]),285]),
[iquote('back_demod(167),demod([285])')] ).
cnf(757,plain,
equal(double_divide(double_divide(identity,A),double_divide(B,C)),double_divide(double_divide(C,A),double_divide(identity,B))),
inference(para,[status(thm),theory(equality)],[183,295]),
[iquote('para(183,295)')] ).
cnf(758,plain,
$false,
inference(conflict,[status(thm)],[757,230]),
[iquote('conflict(757,230)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP489-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 10:29:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.22 ----- EQP 0.9e, May 2009 -----
% 0.72/1.22 The job began on n006.cluster.edu, Tue Jun 14 10:29:12 2022
% 0.72/1.22 The command was "./eqp09e".
% 0.72/1.22
% 0.72/1.22 set(prolog_style_variables).
% 0.72/1.22 set(lrpo).
% 0.72/1.22 set(basic_paramod).
% 0.72/1.22 set(functional_subsume).
% 0.72/1.22 set(ordered_paramod).
% 0.72/1.22 set(prime_paramod).
% 0.72/1.22 set(para_pairs).
% 0.72/1.22 assign(pick_given_ratio,4).
% 0.72/1.22 clear(print_kept).
% 0.72/1.22 clear(print_new_demod).
% 0.72/1.22 clear(print_back_demod).
% 0.72/1.22 clear(print_given).
% 0.72/1.22 assign(max_mem,64000).
% 0.72/1.22 end_of_commands.
% 0.72/1.22
% 0.72/1.22 Usable:
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Sos:
% 0.72/1.22 0 (wt=-1) [] double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C.
% 0.72/1.22 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.22 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.72/1.22 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.72/1.22 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Demodulators:
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Passive:
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Starting to process input.
% 0.72/1.22
% 0.72/1.22 ** KEPT: 1 (wt=17) [] double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C.
% 0.72/1.22 1 is a new demodulator.
% 0.72/1.22
% 0.72/1.22 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.22 2 is a new demodulator.
% 0.72/1.22
% 0.72/1.22 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.22 3 is a new demodulator.
% 0.72/1.22
% 0.72/1.22 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.22 4 is a new demodulator.
% 0.72/1.22
% 0.72/1.22 ** KEPT: 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.72/1.22 ---------------- PROOF FOUND ----------------
% 0.72/1.22 % SZS status Unsatisfiable
% 0.72/1.22
% 0.72/1.22
% 0.72/1.22 After processing input:
% 0.72/1.22
% 0.72/1.22 Usable:
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Sos:
% 0.72/1.22 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.22 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.22 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.22 1 (wt=17) [] double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C.
% 0.72/1.22 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Demodulators:
% 0.72/1.22 1 (wt=17) [] double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C.
% 0.72/1.22 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.22 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.22 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 Passive:
% 0.72/1.22 end_of_list.
% 0.72/1.22
% 0.72/1.22 UNIT CONFLICT from 757 and 230 at 0.07 seconds.
% 0.72/1.22
% 0.72/1.22 ---------------- PROOF ----------------
% 0.72/1.22 % SZS output start Refutation
% See solution above
% 0.72/1.22 ------------ end of proof -------------
% 0.72/1.22
% 0.72/1.22
% 0.72/1.22 ------------- memory usage ------------
% 0.72/1.22 Memory dynamically allocated (tp_alloc): 1464.
% 0.72/1.22 type (bytes each) gets frees in use avail bytes
% 0.72/1.22 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.72/1.22 term ( 16) 76386 59116 17270 59 335.5 K
% 0.72/1.22 gen_ptr ( 8) 108412 25801 82611 61 645.9 K
% 0.72/1.22 context ( 808) 64827 64825 2 5 5.5 K
% 0.72/1.22 trail ( 12) 4688 4688 0 7 0.1 K
% 0.72/1.22 bt_node ( 68) 18487 18484 3 12 1.0 K
% 0.72/1.22 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.22 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.22 ac_match_free_vars_pos (4020)
% 0.72/1.22 0 0 0 0 0.0 K
% 0.72/1.22 discrim ( 12) 12788 7978 4810 779 65.5 K
% 0.72/1.22 flat ( 40) 195052 195052 0 57 2.2 K
% 0.72/1.22 discrim_pos ( 12) 4470 4470 0 1 0.0 K
% 0.72/1.22 fpa_head ( 12) 1582 0 1582 0 18.5 K
% 0.72/1.22 fpa_tree ( 28) 3217 3217 0 37 1.0 K
% 0.72/1.22 fpa_pos ( 36) 1092 1092 0 1 0.0 K
% 0.72/1.22 literal ( 12) 4245 3488 757 1 8.9 K
% 0.72/1.22 clause ( 24) 4245 3488 757 1 17.8 K
% 0.72/1.22 list ( 12) 394 338 56 10 0.8 K
% 0.72/1.22 list_pos ( 20) 3529 1979 1550 98 32.2 K
% 0.72/1.22 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.22
% 0.72/1.22 -------------- statistics -------------
% 0.72/1.22 Clauses input 5
% 0.72/1.22 Usable input 0
% 0.72/1.22 Sos input 5
% 0.72/1.22 Demodulators input 0
% 0.72/1.22 Passive input 0
% 0.72/1.22
% 0.72/1.22 Processed BS (before search) 5
% 0.72/1.22 Forward subsumed BS 0
% 0.72/1.22 Kept BS 5
% 0.72/1.22 New demodulators BS 4
% 0.72/1.22 Back demodulated BS 0
% 0.72/1.22
% 0.72/1.22 Clauses or pairs given 1581
% 0.72/1.22 Clauses generated 2520
% 0.72/1.22 Forward subsumed 1768
% 0.72/1.22 Deleted by weight 0
% 0.72/1.22 Deleted by variable count 0
% 0.72/1.22 Kept 752
% 0.72/1.22 New demodulators 331
% 0.72/1.22 Back demodulated 419
% 0.72/1.22 Ordered paramod prunes 0
% 0.72/1.22 Basic paramod prunes 4276
% 0.72/1.22 Prime paramod prunes 205
% 0.72/1.22 Semantic prunes 0
% 0.72/1.22
% 0.72/1.22 Rewrite attmepts 38665
% 0.72/1.22 Rewrites 3584
% 0.72/1.22
% 0.72/1.22 FPA overloads 0
% 0.72/1.22 FPA underloads 0
% 0.72/1.22
% 0.72/1.22 Usable size 0
% 0.72/1.22 Sos size 337
% 0.72/1.22 Demodulators size 120
% 0.72/1.22 Passive size 0
% 0.72/1.22 Disabled size 419
% 0.72/1.22
% 0.72/1.22 Proofs found 1
% 0.72/1.22
% 0.72/1.22 ----------- times (seconds) ----------- Tue Jun 14 10:29:12 2022
% 0.72/1.22
% 0.72/1.22 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.72/1.22 system CPU time 0.06 (0 hr, 0 min, 0 sec)
% 0.72/1.22 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.22 input time 0.00
% 0.72/1.22 paramodulation time 0.01
% 0.72/1.22 demodulation time 0.01
% 0.72/1.22 orient time 0.01
% 0.72/1.22 weigh time 0.00
% 0.72/1.22 forward subsume time 0.00
% 0.72/1.22 back demod find time 0.01
% 0.72/1.22 conflict time 0.00
% 0.72/1.22 LRPO time 0.01
% 0.72/1.22 store clause time 0.01
% 0.72/1.22 disable clause time 0.00
% 0.72/1.22 prime paramod time 0.00
% 0.72/1.22 semantics time 0.00
% 0.72/1.22
% 0.72/1.22 EQP interrupted
%------------------------------------------------------------------------------