TSTP Solution File: COL038-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL038-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 : Fri Jul 15 00:23:14 EDT 2022
% Result : Unsatisfiable 0.73s 1.36s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 6 RR)
% Number of literals : 67 ( 0 equ; 3 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL038-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(m,A),apply(A,A)),
file('COL038-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(A,A),apply(m,A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(apply(v,A),B),C),apply(apply(C,A),B)),
file('COL038-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(apply(A,B),C),apply(apply(apply(v,B),C),A)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(12,plain,
equal(apply(apply(apply(m,v),A),B),apply(apply(B,v),A)),
inference(para,[status(thm),theory(equality)],[3,4]),
[iquote('para(3,4)')] ).
cnf(13,plain,
equal(apply(apply(A,v),B),apply(apply(apply(m,v),B),A)),
inference(flip,[status(thm),theory(equality)],[12]),
[iquote('flip(12)')] ).
cnf(16,plain,
equal(apply(apply(apply(apply(v,A),B),A),B),apply(m,apply(apply(v,A),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4]),1]),
[iquote('para(3,4),flip(1)')] ).
cnf(19,plain,
equal(apply(apply(apply(v,A),B),A),apply(apply(m,A),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),1]),
[iquote('para(3,5),flip(1)')] ).
cnf(20,plain,
equal(apply(apply(apply(m,A),B),B),apply(m,apply(apply(v,A),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),19]),
[iquote('back_demod(16),demod([19])')] ).
cnf(24,plain,
equal(apply(apply(apply(apply(v,A),B),b),C),apply(A,apply(B,C))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(25,plain,
equal(apply(apply(apply(v,A),B),apply(b,C)),apply(C,apply(A,B))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(26,plain,
equal(apply(A,apply(B,C)),apply(apply(apply(v,B),C),apply(b,A))),
inference(flip,[status(thm),theory(equality)],[25]),
[iquote('flip(25)')] ).
cnf(34,plain,
equal(apply(apply(apply(m,v),A),v),apply(apply(m,v),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,13]),1]),
[iquote('para(3,13),flip(1)')] ).
cnf(35,plain,
equal(apply(apply(apply(apply(v,A),B),v),C),apply(apply(C,A),B)),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(36,plain,
equal(apply(apply(A,B),C),apply(apply(apply(apply(v,B),C),v),A)),
inference(flip,[status(thm),theory(equality)],[35]),
[iquote('flip(35)')] ).
cnf(37,plain,
equal(apply(apply(apply(v,A),B),apply(v,C)),apply(apply(B,C),A)),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(47,plain,
equal(apply(apply(m,apply(m,v)),v),apply(apply(m,v),apply(m,v))),
inference(para,[status(thm),theory(equality)],[3,34]),
[iquote('para(3,34)')] ).
cnf(48,plain,
~ equal(apply(f(apply(apply(b,A),B)),apply(A,apply(B,f(apply(apply(b,A),B))))),apply(A,apply(B,f(apply(apply(b,A),B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,6]),1]),
[iquote('para(1,6),demod([1])')] ).
cnf(53,plain,
equal(apply(apply(apply(A,A),B),B),apply(m,apply(apply(v,A),B))),
inference(para,[status(thm),theory(equality)],[2,20]),
[iquote('para(2,20)')] ).
cnf(64,plain,
equal(apply(apply(apply(v,A),B),apply(b,m)),apply(apply(A,B),apply(A,B))),
inference(para,[status(thm),theory(equality)],[26,2]),
[iquote('para(26,2)')] ).
cnf(65,plain,
equal(apply(A,apply(B,B)),apply(apply(apply(v,m),B),apply(b,A))),
inference(para,[status(thm),theory(equality)],[2,26]),
[iquote('para(2,26)')] ).
cnf(77,plain,
equal(apply(apply(apply(m,v),A),apply(v,B)),apply(apply(A,B),v)),
inference(para,[status(thm),theory(equality)],[3,37]),
[iquote('para(3,37)')] ).
cnf(99,plain,
equal(apply(apply(m,A),apply(m,A)),apply(apply(A,A),apply(A,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,2]),64]),
[iquote('para(65,2),demod([64])')] ).
cnf(107,plain,
equal(apply(apply(m,apply(m,v)),apply(v,A)),apply(apply(m,v),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,77]),34]),
[iquote('para(3,77),demod([34])')] ).
cnf(117,plain,
equal(apply(apply(A,A),apply(A,A)),apply(m,apply(m,A))),
inference(para,[status(thm),theory(equality)],[99,3]),
[iquote('para(99,3)')] ).
cnf(118,plain,
equal(apply(apply(apply(m,v),apply(m,v)),apply(v,A)),apply(apply(m,v),A)),
inference(para,[status(thm),theory(equality)],[2,107]),
[iquote('para(2,107)')] ).
cnf(189,plain,
equal(apply(apply(apply(v,A),B),C),apply(apply(apply(m,v),C),apply(apply(v,A),B))),
inference(para,[status(thm),theory(equality)],[4,13]),
[iquote('para(4,13)')] ).
cnf(190,plain,
equal(apply(apply(apply(m,v),A),apply(apply(v,B),C)),apply(apply(apply(v,B),C),A)),
inference(flip,[status(thm),theory(equality)],[189]),
[iquote('flip(189)')] ).
cnf(197,plain,
equal(apply(apply(apply(v,v),A),B),apply(apply(apply(m,v),B),apply(apply(m,v),A))),
inference(para,[status(thm),theory(equality)],[12,13]),
[iquote('para(12,13)')] ).
cnf(198,plain,
equal(apply(apply(apply(m,v),A),apply(apply(m,v),B)),apply(apply(apply(v,v),B),A)),
inference(flip,[status(thm),theory(equality)],[197]),
[iquote('flip(197)')] ).
cnf(216,plain,
equal(apply(apply(apply(m,v),A),B),apply(apply(apply(v,v),B),apply(apply(m,v),A))),
inference(para,[status(thm),theory(equality)],[34,5]),
[iquote('para(34,5)')] ).
cnf(250,plain,
equal(apply(apply(m,apply(m,v)),A),apply(apply(A,v),apply(v,v))),
inference(para,[status(thm),theory(equality)],[117,4]),
[iquote('para(117,4)')] ).
cnf(254,plain,
equal(apply(apply(m,v),v),apply(m,apply(m,apply(m,v)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[250,3]),47,118]),
[iquote('para(250,3),demod([47,118])')] ).
cnf(303,plain,
equal(apply(apply(m,A),apply(A,A)),apply(m,apply(m,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[117,5]),19]),1]),
[iquote('para(117,5),demod([19]),flip(1)')] ).
cnf(305,plain,
equal(apply(apply(apply(v,v),A),apply(m,v)),apply(apply(m,apply(m,apply(m,v))),A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[254,5]),1]),
[iquote('para(254,5),flip(1)')] ).
cnf(311,plain,
equal(apply(apply(m,apply(m,apply(m,v))),A),apply(apply(A,v),v)),
inference(para,[status(thm),theory(equality)],[254,12]),
[iquote('para(254,12)')] ).
cnf(313,plain,
equal(apply(apply(apply(m,apply(m,v)),apply(m,apply(m,v))),A),apply(apply(A,v),v)),
inference(para,[status(thm),theory(equality)],[2,311]),
[iquote('para(2,311)')] ).
cnf(314,plain,
equal(apply(apply(A,v),v),apply(apply(apply(m,apply(m,v)),apply(m,apply(m,v))),A)),
inference(flip,[status(thm),theory(equality)],[313]),
[iquote('flip(313)')] ).
cnf(350,plain,
equal(apply(m,apply(apply(v,v),A)),apply(apply(A,v),A)),
inference(para,[status(thm),theory(equality)],[20,12]),
[iquote('para(20,12)')] ).
cnf(351,plain,
equal(apply(apply(A,v),A),apply(m,apply(apply(v,v),A))),
inference(flip,[status(thm),theory(equality)],[350]),
[iquote('flip(350)')] ).
cnf(352,plain,
equal(apply(apply(A,v),A),apply(apply(apply(v,v),A),apply(apply(v,v),A))),
inference(para,[status(thm),theory(equality)],[350,2]),
[iquote('para(350,2)')] ).
cnf(353,plain,
equal(apply(apply(apply(v,v),A),apply(apply(v,v),A)),apply(apply(A,v),A)),
inference(flip,[status(thm),theory(equality)],[352]),
[iquote('flip(352)')] ).
cnf(367,plain,
equal(apply(apply(m,apply(A,A)),apply(m,apply(m,A))),apply(m,apply(m,apply(A,A)))),
inference(para,[status(thm),theory(equality)],[117,303]),
[iquote('para(117,303)')] ).
cnf(393,plain,
equal(apply(apply(apply(v,A),B),apply(apply(v,A),B)),apply(m,apply(apply(v,v),apply(apply(v,A),B)))),
inference(para,[status(thm),theory(equality)],[4,351]),
[iquote('para(4,351)')] ).
cnf(399,plain,
equal(apply(m,apply(apply(v,v),apply(apply(v,v),A))),apply(apply(A,v),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[353]),393]),
[iquote('back_demod(353),demod([393])')] ).
cnf(412,plain,
equal(apply(m,apply(apply(v,v),apply(apply(m,v),A))),apply(apply(A,v),A)),
inference(para,[status(thm),theory(equality)],[3,399]),
[iquote('para(3,399)')] ).
cnf(413,plain,
equal(apply(apply(A,v),A),apply(m,apply(apply(v,v),apply(apply(m,v),A)))),
inference(flip,[status(thm),theory(equality)],[412]),
[iquote('flip(412)')] ).
cnf(515,plain,
equal(apply(apply(apply(v,A),B),apply(m,v)),apply(apply(m,apply(m,v)),apply(apply(v,A),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,190]),1]),
[iquote('para(3,190),flip(1)')] ).
cnf(516,plain,
equal(apply(apply(m,apply(m,v)),apply(apply(v,v),A)),apply(apply(m,apply(m,apply(m,v))),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[305]),515]),
[iquote('back_demod(305),demod([515])')] ).
cnf(595,plain,
equal(apply(apply(m,apply(m,apply(m,v))),A),apply(apply(m,apply(m,v)),apply(apply(m,v),A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,198]),515,516]),1]),
[iquote('para(3,198),demod([515,516]),flip(1)')] ).
cnf(620,plain,
equal(apply(m,apply(apply(v,v),apply(apply(m,v),A))),apply(m,apply(apply(m,v),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[216,3]),53]),
[iquote('para(216,3),demod([53])')] ).
cnf(622,plain,
equal(apply(apply(A,v),A),apply(m,apply(apply(m,v),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[413]),620]),
[iquote('back_demod(413),demod([620])')] ).
cnf(800,plain,
equal(apply(apply(m,apply(m,A)),apply(m,apply(m,A))),apply(m,apply(m,apply(A,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,367]),117]),
[iquote('para(2,367),demod([117])')] ).
cnf(802,plain,
equal(apply(apply(A,v),v),apply(apply(m,apply(m,apply(v,v))),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[314]),800]),
[iquote('back_demod(314),demod([800])')] ).
cnf(1542,plain,
equal(apply(apply(apply(apply(apply(v,A),b),v),apply(v,B)),C),apply(B,apply(A,C))),
inference(para,[status(thm),theory(equality)],[36,24]),
[iquote('para(36,24)')] ).
cnf(1549,plain,
equal(apply(A,apply(B,apply(apply(apply(apply(v,B),b),v),apply(v,A)))),apply(m,apply(apply(apply(apply(v,B),b),v),apply(v,A)))),
inference(para,[status(thm),theory(equality)],[1542,3]),
[iquote('para(1542,3)')] ).
cnf(1550,plain,
equal(apply(m,apply(apply(apply(apply(v,A),b),v),apply(v,B))),apply(B,apply(A,apply(apply(apply(apply(v,A),b),v),apply(v,B))))),
inference(flip,[status(thm),theory(equality)],[1549]),
[iquote('flip(1549)')] ).
cnf(2164,plain,
equal(apply(apply(v,A),A),apply(m,apply(apply(m,v),apply(v,A)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[622,37]),1]),
[iquote('para(622,37),flip(1)')] ).
cnf(2393,plain,
equal(apply(apply(apply(v,A),B),v),apply(apply(m,apply(m,apply(v,v))),apply(apply(v,A),B))),
inference(para,[status(thm),theory(equality)],[4,802]),
[iquote('para(4,802)')] ).
cnf(2506,plain,
equal(apply(m,apply(apply(apply(m,apply(m,apply(v,v))),apply(apply(v,A),b)),apply(v,B))),apply(B,apply(A,apply(apply(apply(m,apply(m,apply(v,v))),apply(apply(v,A),b)),apply(v,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1550]),2393,2393]),
[iquote('back_demod(1550),demod([2393,2393])')] ).
cnf(2507,plain,
equal(apply(A,apply(B,apply(apply(apply(m,apply(m,apply(v,v))),apply(apply(v,B),b)),apply(v,A)))),apply(m,apply(apply(apply(m,apply(m,apply(v,v))),apply(apply(v,B),b)),apply(v,A)))),
inference(flip,[status(thm),theory(equality)],[2506]),
[iquote('flip(2506)')] ).
cnf(2587,plain,
equal(apply(apply(m,apply(m,apply(v,v))),A),apply(apply(m,apply(m,v)),apply(apply(m,v),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[802,5]),2164,303,595]),
[iquote('para(802,5),demod([2164,303,595])')] ).
cnf(2667,plain,
equal(apply(A,apply(B,apply(apply(apply(m,apply(m,v)),apply(apply(m,v),apply(apply(v,B),b))),apply(v,A)))),apply(m,apply(apply(apply(m,apply(m,v)),apply(apply(m,v),apply(apply(v,B),b))),apply(v,A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2507]),2587,2587]),
[iquote('back_demod(2507),demod([2587,2587])')] ).
cnf(2817,plain,
~ equal(apply(f(apply(apply(b,A),apply(apply(b,B),C))),apply(A,apply(B,apply(C,f(apply(apply(b,A),apply(apply(b,B),C))))))),apply(A,apply(B,apply(C,f(apply(apply(b,A),apply(apply(b,B),C))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,48]),1]),
[iquote('para(1,48),demod([1])')] ).
cnf(2818,plain,
$false,
inference(conflict,[status(thm)],[2817,2667]),
[iquote('conflict(2817,2667)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL038-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n028.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 May 31 15:22:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.36 ----- EQP 0.9e, May 2009 -----
% 0.73/1.36 The job began on n028.cluster.edu, Tue May 31 15:22:22 2022
% 0.73/1.36 The command was "./eqp09e".
% 0.73/1.36
% 0.73/1.36 set(prolog_style_variables).
% 0.73/1.36 set(lrpo).
% 0.73/1.36 set(basic_paramod).
% 0.73/1.36 set(functional_subsume).
% 0.73/1.36 set(ordered_paramod).
% 0.73/1.36 set(prime_paramod).
% 0.73/1.36 set(para_pairs).
% 0.73/1.36 assign(pick_given_ratio,4).
% 0.73/1.36 clear(print_kept).
% 0.73/1.36 clear(print_new_demod).
% 0.73/1.36 clear(print_back_demod).
% 0.73/1.36 clear(print_given).
% 0.73/1.36 assign(max_mem,64000).
% 0.73/1.36 end_of_commands.
% 0.73/1.36
% 0.73/1.36 Usable:
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Sos:
% 0.73/1.36 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.36 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.73/1.36 0 (wt=-1) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.73/1.36 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Demodulators:
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Passive:
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Starting to process input.
% 0.73/1.36
% 0.73/1.36 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.36 1 is a new demodulator.
% 0.73/1.36
% 0.73/1.36 ** KEPT: 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.73/1.36
% 0.73/1.36 ** KEPT: 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.73/1.36 clause forward subsumed: 0 (wt=7) [flip(3)] apply(m,A) = apply(A,A).
% 0.73/1.36
% 0.73/1.36 ** KEPT: 4 (wt=13) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.73/1.36
% 0.73/1.36 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(v,B),C),A).
% 0.73/1.36 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(v,B),C),A) = apply(apply(A,B),C).
% 0.73/1.36
% 0.73/1.36 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.73/1.36 ---------------- PROOF FOUND ----------------
% 0.73/1.36 % SZS status Unsatisfiable
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 After processing input:
% 0.73/1.36
% 0.73/1.36 Usable:
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Sos:
% 0.73/1.36 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.73/1.36 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.73/1.36 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.73/1.36 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.36 4 (wt=13) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.73/1.36 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(v,B),C),A).
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Demodulators:
% 0.73/1.36 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 Passive:
% 0.73/1.36 end_of_list.
% 0.73/1.36
% 0.73/1.36 UNIT CONFLICT from 2817 and 2667 at 0.20 seconds.
% 0.73/1.36
% 0.73/1.36 ---------------- PROOF ----------------
% 0.73/1.36 % SZS output start Refutation
% See solution above
% 0.73/1.36 ------------ end of proof -------------
% 0.73/1.36
% 0.73/1.36
% 0.73/1.36 ------------- memory usage ------------
% 0.73/1.36 Memory dynamically allocated (tp_alloc): 4882.
% 0.73/1.36 type (bytes each) gets frees in use avail bytes
% 0.73/1.36 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.73/1.36 term ( 16) 197507 130274 67233 49 1303.1 K
% 0.73/1.36 gen_ptr ( 8) 337143 46079 291064 66 2274.5 K
% 0.73/1.36 context ( 808) 187570 187568 2 5 5.5 K
% 0.73/1.36 trail ( 12) 8526 8526 0 5 0.1 K
% 0.73/1.36 bt_node ( 68) 46308 46305 3 8 0.7 K
% 0.73/1.36 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.36 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.36 ac_match_free_vars_pos (4020)
% 0.73/1.36 0 0 0 0 0.0 K
% 0.73/1.36 discrim ( 12) 39903 13573 26330 0 308.6 K
% 0.73/1.36 flat ( 40) 615360 615360 0 45 1.8 K
% 0.73/1.36 discrim_pos ( 12) 6571 6571 0 1 0.0 K
% 0.73/1.36 fpa_head ( 12) 2420 0 2420 0 28.4 K
% 0.73/1.36 fpa_tree ( 28) 29628 29628 0 47 1.3 K
% 0.73/1.36 fpa_pos ( 36) 3750 3750 0 1 0.0 K
% 0.73/1.36 literal ( 12) 11572 8755 2817 1 33.0 K
% 0.73/1.36 clause ( 24) 11572 8755 2817 1 66.0 K
% 0.73/1.36 list ( 12) 992 936 56 3 0.7 K
% 0.73/1.36 list_pos ( 20) 11442 4526 6916 0 135.1 K
% 0.73/1.36 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.36
% 0.73/1.36 -------------- statistics -------------
% 0.73/1.36 Clauses input 4
% 0.73/1.36 Usable input 0
% 0.73/1.36 Sos input 4
% 0.73/1.36 Demodulators input 0
% 0.73/1.36 Passive input 0
% 0.73/1.36
% 0.73/1.36 Processed BS (before search) 8
% 0.73/1.36 Forward subsumed BS 2
% 0.73/1.36 Kept BS 6
% 0.73/1.36 New demodulators BS 1
% 0.73/1.36 Back demodulated BS 0
% 0.73/1.36
% 0.73/1.36 Clauses or pairs given 3155
% 0.73/1.36 Clauses generated 5904
% 1.03/1.36 Forward subsumed 3093
% 1.03/1.36 Deleted by weight 0
% 1.03/1.36 Deleted by variable count 0
% 1.03/1.36 Kept 2811
% 1.03/1.36 New demodulators 932
% 1.03/1.36 Back demodulated 1024
% 1.03/1.36 Ordered paramod prunes 0
% 1.03/1.36 Basic paramod prunes 10421
% 1.03/1.36 Prime paramod prunes 14
% 1.03/1.36 Semantic prunes 0
% 1.03/1.36
% 1.03/1.36 Rewrite attmepts 130734
% 1.03/1.36 Rewrites 4338
% 1.03/1.36
% 1.03/1.36 FPA overloads 0
% 1.03/1.36 FPA underloads 0
% 1.03/1.36
% 1.03/1.36 Usable size 0
% 1.03/1.36 Sos size 1792
% 1.03/1.36 Demodulators size 516
% 1.03/1.36 Passive size 0
% 1.03/1.36 Disabled size 1024
% 1.03/1.36
% 1.03/1.36 Proofs found 1
% 1.03/1.36
% 1.03/1.36 ----------- times (seconds) ----------- Tue May 31 15:22:22 2022
% 1.03/1.36
% 1.03/1.36 user CPU time 0.20 (0 hr, 0 min, 0 sec)
% 1.03/1.36 system CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.03/1.36 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.03/1.36 input time 0.00
% 1.03/1.36 paramodulation time 0.01
% 1.03/1.36 demodulation time 0.03
% 1.03/1.36 orient time 0.01
% 1.03/1.36 weigh time 0.00
% 1.03/1.36 forward subsume time 0.02
% 1.03/1.36 back demod find time 0.01
% 1.03/1.36 conflict time 0.01
% 1.03/1.36 LRPO time 0.01
% 1.03/1.36 store clause time 0.06
% 1.03/1.36 disable clause time 0.02
% 1.03/1.36 prime paramod time 0.01
% 1.03/1.36 semantics time 0.00
% 1.03/1.36
% 1.03/1.36 EQP interrupted
%------------------------------------------------------------------------------