TSTP Solution File: GRP203-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n009.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 2.14s 2.54s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 4
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 2 RR)
% Number of literals : 62 ( 0 equ; 1 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP203-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(left_inverse(A),A),identity),
file('GRP203-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(multiply(multiply(A,B),A),C),multiply(A,multiply(B,multiply(A,C)))),
file('GRP203-1.p',unknown),
[] ).
cnf(4,plain,
~ equal(multiply(multiply(multiply(a,b),c),b),multiply(a,multiply(b,multiply(c,b)))),
file('GRP203-1.p',unknown),
[] ).
cnf(5,plain,
equal(multiply(multiply(A,identity),B),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,3]),1,1]),
[iquote('para(1,3),demod([1,1])')] ).
cnf(6,plain,
equal(multiply(left_inverse(A),multiply(A,multiply(left_inverse(A),B))),multiply(left_inverse(A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,3]),1]),1]),
[iquote('para(2,3),demod([1]),flip(1)')] ).
cnf(10,plain,
equal(multiply(left_inverse(A),multiply(A,identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,6]),2]),
[iquote('para(2,6),demod([2])')] ).
cnf(15,plain,
equal(multiply(multiply(A,A),B),multiply(A,multiply(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,3]),1]),
[iquote('para(5,3),demod([1])')] ).
cnf(16,plain,
equal(multiply(multiply(A,multiply(B,multiply(A,identity))),C),multiply(A,multiply(B,multiply(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),3]),
[iquote('para(3,5),demod([3])')] ).
cnf(32,plain,
equal(multiply(left_inverse(multiply(multiply(A,B),A)),multiply(A,multiply(B,multiply(A,identity)))),identity),
inference(para,[status(thm),theory(equality)],[3,10]),
[iquote('para(3,10)')] ).
cnf(39,plain,
equal(multiply(A,multiply(left_inverse(multiply(A,identity)),multiply(A,B))),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,16]),5]),1]),
[iquote('para(2,16),demod([5]),flip(1)')] ).
cnf(66,plain,
equal(multiply(A,multiply(left_inverse(A),multiply(A,B))),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,16]),5]),1]),
[iquote('para(10,16),demod([5]),flip(1)')] ).
cnf(69,plain,
equal(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,66]),2]),
[iquote('para(2,66),demod([2])')] ).
cnf(103,plain,
equal(multiply(multiply(A,multiply(B,multiply(B,multiply(A,identity)))),C),multiply(A,multiply(B,multiply(B,multiply(A,C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,16]),15]),
[iquote('para(15,16),demod([15])')] ).
cnf(124,plain,
equal(multiply(left_inverse(multiply(multiply(A,multiply(B,B)),A)),multiply(A,multiply(B,multiply(B,multiply(A,identity))))),identity),
inference(para,[status(thm),theory(equality)],[15,32]),
[iquote('para(15,32)')] ).
cnf(158,plain,
equal(multiply(left_inverse(multiply(multiply(A,multiply(left_inverse(A),left_inverse(A))),A)),multiply(A,multiply(left_inverse(A),identity))),identity),
inference(para,[status(thm),theory(equality)],[10,124]),
[iquote('para(10,124)')] ).
cnf(189,plain,
equal(multiply(left_inverse(multiply(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),left_inverse(A))),identity),identity),
inference(para,[status(thm),theory(equality)],[69,158]),
[iquote('para(69,158)')] ).
cnf(192,plain,
equal(multiply(left_inverse(multiply(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),left_inverse(A))),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[189,5]),1]),1]),
[iquote('para(189,5),demod([1]),flip(1)')] ).
cnf(196,plain,
equal(multiply(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),left_inverse(A)),identity),
inference(para,[status(thm),theory(equality)],[192,2]),
[iquote('para(192,2)')] ).
cnf(203,plain,
equal(multiply(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),multiply(left_inverse(multiply(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),identity)),identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[196,39]),196]),
[iquote('para(196,39),demod([196])')] ).
cnf(212,plain,
equal(multiply(multiply(A,multiply(left_inverse(A),identity)),B),multiply(A,multiply(left_inverse(A),multiply(left_inverse(A),multiply(A,B))))),
inference(para,[status(thm),theory(equality)],[10,103]),
[iquote('para(10,103)')] ).
cnf(240,plain,
equal(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),multiply(left_inverse(left_inverse(A)),multiply(left_inverse(A),B)))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[196,3]),1,15]),1]),
[iquote('para(196,3),demod([1,15]),flip(1)')] ).
cnf(241,plain,
equal(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),multiply(left_inverse(left_inverse(A)),identity))),A),
inference(para,[status(thm),theory(equality)],[2,240]),
[iquote('para(2,240)')] ).
cnf(247,plain,
equal(multiply(A,identity),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,240]),241]),1]),
[iquote('para(10,240),demod([241]),flip(1)')] ).
cnf(253,plain,
equal(multiply(left_inverse(A),multiply(left_inverse(left_inverse(A)),left_inverse(left_inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[241]),247]),
[iquote('back_demod(241),demod([247])')] ).
cnf(254,plain,
equal(multiply(A,left_inverse(A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[203]),253,253,247,247]),
[iquote('back_demod(203),demod([253,253,247,247])')] ).
cnf(271,plain,
equal(multiply(A,multiply(left_inverse(A),multiply(left_inverse(A),multiply(A,B)))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[212]),247,254,1]),1]),
[iquote('back_demod(212),demod([247,254,1]),flip(1)')] ).
cnf(311,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)],[16]),247]),
[iquote('back_demod(16),demod([247])')] ).
cnf(335,plain,
equal(multiply(A,multiply(left_inverse(A),left_inverse(A))),left_inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[254,271]),247]),
[iquote('para(254,271),demod([247])')] ).
cnf(336,plain,
equal(left_inverse(left_inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[253]),335]),
[iquote('back_demod(253),demod([335])')] ).
cnf(366,plain,
equal(multiply(multiply(A,B),A),multiply(A,multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[247,3]),247]),
[iquote('para(247,3),demod([247])')] ).
cnf(495,plain,
equal(multiply(multiply(A,B),multiply(left_inverse(multiply(A,B)),multiply(left_inverse(multiply(A,B)),multiply(A,multiply(B,A))))),A),
inference(para,[status(thm),theory(equality)],[366,271]),
[iquote('para(366,271)')] ).
cnf(500,plain,
equal(multiply(A,multiply(left_inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[271,66]),271]),
[iquote('para(271,66),demod([271])')] ).
cnf(501,plain,
equal(multiply(left_inverse(multiply(A,B)),multiply(A,multiply(B,A))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[495]),500]),
[iquote('back_demod(495),demod([500])')] ).
cnf(503,plain,
equal(multiply(left_inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[271]),500]),
[iquote('back_demod(271),demod([500])')] ).
cnf(512,plain,
equal(multiply(left_inverse(A),multiply(B,multiply(multiply(left_inverse(B),A),B))),B),
inference(para,[status(thm),theory(equality)],[500,501]),
[iquote('para(500,501)')] ).
cnf(524,plain,
equal(multiply(A,multiply(multiply(left_inverse(A),B),A)),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[512,500]),1]),
[iquote('para(512,500),flip(1)')] ).
cnf(528,plain,
equal(multiply(multiply(left_inverse(A),B),A),multiply(left_inverse(A),multiply(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[524,503]),1]),
[iquote('para(524,503),flip(1)')] ).
cnf(532,plain,
equal(multiply(left_inverse(multiply(left_inverse(A),B)),multiply(left_inverse(A),multiply(B,A))),A),
inference(para,[status(thm),theory(equality)],[528,503]),
[iquote('para(528,503)')] ).
cnf(536,plain,
equal(multiply(left_inverse(multiply(A,B)),multiply(A,multiply(B,left_inverse(A)))),left_inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[336,532]),336]),
[iquote('para(336,532),demod([336])')] ).
cnf(560,plain,
equal(multiply(multiply(A,B),left_inverse(A)),multiply(A,multiply(B,left_inverse(A)))),
inference(para,[status(thm),theory(equality)],[536,500]),
[iquote('para(536,500)')] ).
cnf(581,plain,
equal(multiply(multiply(multiply(A,B),B),C),multiply(multiply(A,B),multiply(left_inverse(A),multiply(multiply(A,B),C)))),
inference(para,[status(thm),theory(equality)],[503,311]),
[iquote('para(503,311)')] ).
cnf(582,plain,
equal(multiply(multiply(A,B),multiply(left_inverse(A),multiply(multiply(A,B),C))),multiply(multiply(multiply(A,B),B),C)),
inference(flip,[status(thm),theory(equality)],[581]),
[iquote('flip(581)')] ).
cnf(645,plain,
equal(multiply(A,multiply(multiply(B,A),A)),multiply(A,multiply(B,multiply(A,A)))),
inference(para,[status(thm),theory(equality)],[366,311]),
[iquote('para(366,311)')] ).
cnf(650,plain,
equal(multiply(multiply(A,B),B),multiply(A,multiply(B,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[645,503]),503]),1]),
[iquote('para(645,503),demod([503]),flip(1)')] ).
cnf(664,plain,
equal(multiply(multiply(A,B),multiply(left_inverse(A),multiply(multiply(A,B),C))),multiply(multiply(A,multiply(B,B)),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[582]),650]),
[iquote('back_demod(582),demod([650])')] ).
cnf(675,plain,
equal(multiply(left_inverse(multiply(A,B)),multiply(A,multiply(B,B))),B),
inference(para,[status(thm),theory(equality)],[650,503]),
[iquote('para(650,503)')] ).
cnf(717,plain,
equal(multiply(left_inverse(A),multiply(left_inverse(multiply(B,A)),multiply(multiply(B,multiply(A,A)),left_inverse(multiply(B,A))))),left_inverse(multiply(B,A))),
inference(para,[status(thm),theory(equality)],[675,501]),
[iquote('para(675,501)')] ).
cnf(828,plain,
equal(multiply(multiply(A,multiply(B,B)),left_inverse(multiply(A,B))),multiply(A,multiply(B,left_inverse(A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[254,664]),247,560]),1]),
[iquote('para(254,664),demod([247,560]),flip(1)')] ).
cnf(830,plain,
equal(left_inverse(multiply(A,B)),multiply(left_inverse(B),left_inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[717]),828,536]),1]),
[iquote('back_demod(717),demod([828,536]),flip(1)')] ).
cnf(906,plain,
equal(multiply(multiply(left_inverse(A),left_inverse(B)),multiply(B,A)),identity),
inference(para,[status(thm),theory(equality)],[830,2]),
[iquote('para(830,2)')] ).
cnf(913,plain,
equal(multiply(multiply(left_inverse(A),B),multiply(left_inverse(B),A)),identity),
inference(para,[status(thm),theory(equality)],[336,906]),
[iquote('para(336,906)')] ).
cnf(962,plain,
equal(multiply(A,multiply(multiply(left_inverse(A),left_inverse(B)),B)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[503,913]),830]),
[iquote('para(503,913),demod([830])')] ).
cnf(987,plain,
equal(multiply(multiply(left_inverse(A),left_inverse(B)),B),left_inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[962,503]),247]),1]),
[iquote('para(962,503),demod([247]),flip(1)')] ).
cnf(997,plain,
equal(multiply(multiply(A,B),left_inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[987,503]),830,336,336]),
[iquote('para(987,503),demod([830,336,336])')] ).
cnf(1617,plain,
equal(multiply(multiply(A,multiply(B,multiply(A,C))),left_inverse(C)),multiply(A,multiply(B,A))),
inference(para,[status(thm),theory(equality)],[311,997]),
[iquote('para(311,997)')] ).
cnf(2134,plain,
equal(multiply(multiply(A,multiply(B,C)),multiply(left_inverse(C),A)),multiply(A,multiply(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[500,1617]),830,336]),
[iquote('para(500,1617),demod([830,336])')] ).
cnf(2221,plain,
equal(multiply(multiply(A,B),multiply(multiply(left_inverse(B),C),A)),multiply(A,multiply(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[500,2134]),830,336]),
[iquote('para(500,2134),demod([830,336])')] ).
cnf(2313,plain,
equal(multiply(A,multiply(multiply(multiply(left_inverse(A),B),C),B)),multiply(B,multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[500,2221]),830,336]),
[iquote('para(500,2221),demod([830,336])')] ).
cnf(2319,plain,
equal(multiply(left_inverse(A),multiply(multiply(multiply(A,B),C),B)),multiply(B,multiply(C,B))),
inference(para,[status(thm),theory(equality)],[336,2313]),
[iquote('para(336,2313)')] ).
cnf(2473,plain,
equal(multiply(multiply(multiply(A,B),C),B),multiply(A,multiply(B,multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2319,500]),1]),
[iquote('para(2319,500),flip(1)')] ).
cnf(2474,plain,
$false,
inference(conflict,[status(thm)],[2473,4]),
[iquote('conflict(2473,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n009.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 11:29:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.14/2.54 ----- EQP 0.9e, May 2009 -----
% 2.14/2.54 The job began on n009.cluster.edu, Tue Jun 14 11:29:23 2022
% 2.14/2.54 The command was "./eqp09e".
% 2.14/2.54
% 2.14/2.54 set(prolog_style_variables).
% 2.14/2.54 set(lrpo).
% 2.14/2.54 set(basic_paramod).
% 2.14/2.54 set(functional_subsume).
% 2.14/2.54 set(ordered_paramod).
% 2.14/2.54 set(prime_paramod).
% 2.14/2.54 set(para_pairs).
% 2.14/2.54 assign(pick_given_ratio,4).
% 2.14/2.54 clear(print_kept).
% 2.14/2.54 clear(print_new_demod).
% 2.14/2.54 clear(print_back_demod).
% 2.14/2.54 clear(print_given).
% 2.14/2.54 assign(max_mem,64000).
% 2.14/2.54 end_of_commands.
% 2.14/2.54
% 2.14/2.54 Usable:
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Sos:
% 2.14/2.54 0 (wt=-1) [] multiply(identity,A) = A.
% 2.14/2.54 0 (wt=-1) [] multiply(left_inverse(A),A) = identity.
% 2.14/2.54 0 (wt=-1) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 2.14/2.54 0 (wt=-1) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Demodulators:
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Passive:
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Starting to process input.
% 2.14/2.54
% 2.14/2.54 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 2.14/2.54 1 is a new demodulator.
% 2.14/2.54
% 2.14/2.54 ** KEPT: 2 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 2.14/2.54 2 is a new demodulator.
% 2.14/2.54
% 2.14/2.54 ** KEPT: 3 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 2.14/2.54 3 is a new demodulator.
% 2.14/2.54
% 2.14/2.54 ** KEPT: 4 (wt=15) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 2.14/2.54 ---------------- PROOF FOUND ----------------
% 2.14/2.54 % SZS status Unsatisfiable
% 2.14/2.54
% 2.14/2.54
% 2.14/2.54 After processing input:
% 2.14/2.54
% 2.14/2.54 Usable:
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Sos:
% 2.14/2.54 1 (wt=5) [] multiply(identity,A) = A.
% 2.14/2.54 2 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 2.14/2.54 3 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 2.14/2.54 4 (wt=15) [] -(multiply(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)))).
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Demodulators:
% 2.14/2.54 1 (wt=5) [] multiply(identity,A) = A.
% 2.14/2.54 2 (wt=6) [] multiply(left_inverse(A),A) = identity.
% 2.14/2.54 3 (wt=15) [] multiply(multiply(multiply(A,B),A),C) = multiply(A,multiply(B,multiply(A,C))).
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 Passive:
% 2.14/2.54 end_of_list.
% 2.14/2.54
% 2.14/2.54 UNIT CONFLICT from 2473 and 4 at 1.35 seconds.
% 2.14/2.54
% 2.14/2.54 ---------------- PROOF ----------------
% 2.14/2.54 % SZS output start Refutation
% See solution above
% 2.14/2.54 ------------ end of proof -------------
% 2.14/2.54
% 2.14/2.54
% 2.14/2.54 ------------- memory usage ------------
% 2.14/2.54 Memory dynamically allocated (tp_alloc): 35644.
% 2.14/2.54 type (bytes each) gets frees in use avail bytes
% 2.14/2.54 sym_ent ( 96) 57 0 57 0 5.3 K
% 2.14/2.54 term ( 16) 3558835 3169955 388880 3278 7649.8 K
% 2.14/2.54 gen_ptr ( 8) 3284550 262410 3022140 61 23610.9 K
% 2.14/2.54 context ( 808) 1079143 1079141 2 17 15.0 K
% 2.14/2.54 trail ( 12) 1614203 1614203 0 10 0.1 K
% 2.14/2.54 bt_node ( 68) 70596 70592 4 91 6.3 K
% 2.14/2.54 ac_position (285432) 0 0 0 0 0.0 K
% 2.14/2.54 ac_match_pos (14044) 0 0 0 0 0.0 K
% 2.14/2.54 ac_match_free_vars_pos (4020)
% 2.14/2.54 0 0 0 0 0.0 K
% 2.14/2.54 discrim ( 12) 455754 163749 292005 0 3421.9 K
% 2.14/2.54 flat ( 40) 9353235 9353235 0 2303 90.0 K
% 2.14/2.54 discrim_pos ( 12) 43943 43943 0 1 0.0 K
% 2.14/2.54 fpa_head ( 12) 4104 0 4104 0 48.1 K
% 2.14/2.54 fpa_tree ( 28) 17416 17416 0 51 1.4 K
% 2.14/2.54 fpa_pos ( 36) 4884 4884 0 1 0.0 K
% 2.14/2.54 literal ( 12) 9207 6734 2473 1 29.0 K
% 2.14/2.54 clause ( 24) 9207 6734 2473 1 58.0 K
% 2.14/2.54 list ( 12) 2470 2414 56 4 0.7 K
% 2.14/2.54 list_pos ( 20) 11936 5230 6706 17 131.3 K
% 2.14/2.54 pair_index ( 40) 2 0 2 0 0.1 K
% 2.14/2.54
% 2.14/2.54 -------------- statistics -------------
% 2.14/2.54 Clauses input 4
% 2.14/2.54 Usable input 0
% 2.14/2.54 Sos input 4
% 2.14/2.54 Demodulators input 0
% 2.14/2.54 Passive input 0
% 2.14/2.54
% 2.14/2.54 Processed BS (before search) 4
% 2.14/2.54 Forward subsumed BS 0
% 2.14/2.54 Kept BS 4
% 2.14/2.54 New demodulators BS 3
% 2.14/2.54 Back demodulated BS 0
% 2.14/2.54
% 2.14/2.54 Clauses or pairs given 3882
% 2.14/2.54 Clauses generated 6485
% 2.14/2.54 Forward subsumed 4016
% 2.14/2.54 Deleted by weight 0
% 2.14/2.54 Deleted by variable count 0
% 2.14/2.54 Kept 2469
% 2.14/2.54 New demodulators 2408
% 2.14/2.54 Back demodulated 1043
% 2.14/2.54 Ordered paramod prunes 0
% 2.14/2.54 Basic paramod prunes 14165
% 2.14/2.54 Prime paramod prunes 4781
% 2.14/2.54 Semantic prunes 0
% 2.14/2.54
% 2.14/2.54 Rewrite attmepts 870637
% 2.14/2.54 Rewrites 39116
% 2.14/2.54
% 2.14/2.54 FPA overloads 0
% 2.14/2.54 FPA underloads 0
% 2.14/2.54
% 2.14/2.54 Usable size 0
% 2.14/2.54 Sos size 1429
% 2.14/2.54 Demodulators size 1376
% 2.14/2.54 Passive size 0
% 2.14/2.54 Disabled size 1043
% 2.14/2.54
% 2.14/2.54 Proofs found 1
% 2.14/2.54
% 2.14/2.54 ----------- times (seconds) ----------- Tue Jun 14 11:29:25 2022
% 2.14/2.54
% 2.14/2.54 user CPU time 1.35 (0 hr, 0 min, 1 sec)
% 2.14/2.54 system CPU time 0.12 (0 hr, 0 min, 0 sec)
% 2.14/2.54 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.14/2.54 input time 0.00
% 2.14/2.54 paramodulation time 0.12
% 2.14/2.54 demodulation time 0.36
% 2.14/2.54 orient time 0.03
% 2.14/2.54 weigh time 0.01
% 2.14/2.54 forward subsume time 0.01
% 2.14/2.54 back demod find time 0.48
% 2.14/2.54 conflict time 0.00
% 2.14/2.54 LRPO time 0.02
% 2.14/2.54 store clause time 0.25
% 2.14/2.54 disable clause time 0.02
% 2.14/2.54 prime paramod time 0.07
% 2.14/2.54 semantics time 0.00
% 2.14/2.54
% 2.14/2.54 EQP interrupted
%------------------------------------------------------------------------------