TSTP Solution File: LAT028-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT028-1 : 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 : Sun Jul 17 04:34:20 EDT 2022
% Result : Unsatisfiable 0.86s 1.24s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 3 RR)
% Number of literals : 41 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT028-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT028-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT028-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT028-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(join(A,B),join(C,B)),B),B),
file('LAT028-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(meet(A,B),meet(C,B)),B),B),
file('LAT028-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet2(A,A),A),
file('LAT028-1.p',unknown),
[] ).
cnf(8,plain,
equal(meet2(A,B),meet2(B,A)),
file('LAT028-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet2(meet2(join(A,B),join(C,B)),B),B),
file('LAT028-1.p',unknown),
[] ).
cnf(10,plain,
equal(join(join(meet2(A,B),meet2(C,B)),B),B),
file('LAT028-1.p',unknown),
[] ).
cnf(11,plain,
~ equal(meet2(a,b),meet(a,b)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(16,plain,
equal(meet(meet(join(A,B),join(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(20,plain,
equal(join(meet(A,B),B),B),
inference(para,[status(thm),theory(equality)],[2,6]),
[iquote('para(2,6)')] ).
cnf(21,plain,
equal(join(join(meet(A,B),meet(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(23,plain,
equal(join(A,meet(B,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,4]),1]),
[iquote('para(20,4),flip(1)')] ).
cnf(25,plain,
equal(meet2(meet2(A,join(B,A)),A),A),
inference(para,[status(thm),theory(equality)],[2,9]),
[iquote('para(2,9)')] ).
cnf(27,plain,
equal(meet2(meet2(A,join(A,B)),A),A),
inference(para,[status(thm),theory(equality)],[4,25]),
[iquote('para(4,25)')] ).
cnf(33,plain,
equal(meet2(join(A,B),B),B),
inference(para,[status(thm),theory(equality)],[7,9]),
[iquote('para(7,9)')] ).
cnf(35,plain,
equal(meet2(A,join(B,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,8]),1]),
[iquote('para(33,8),flip(1)')] ).
cnf(36,plain,
equal(join(meet2(A,B),B),B),
inference(para,[status(thm),theory(equality)],[2,10]),
[iquote('para(2,10)')] ).
cnf(39,plain,
equal(join(join(meet2(A,B),meet2(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[8,10]),
[iquote('para(8,10)')] ).
cnf(68,plain,
equal(join(join(meet2(A,B),A),A),A),
inference(para,[status(thm),theory(equality)],[7,39]),
[iquote('para(7,39)')] ).
cnf(71,plain,
equal(meet(meet(A,join(B,meet(C,A))),meet(C,A)),meet(C,A)),
inference(para,[status(thm),theory(equality)],[20,16]),
[iquote('para(20,16)')] ).
cnf(73,plain,
equal(join(join(meet(A,B),meet(A,C)),A),A),
inference(para,[status(thm),theory(equality)],[3,21]),
[iquote('para(3,21)')] ).
cnf(90,plain,
equal(join(meet(A,B),A),A),
inference(para,[status(thm),theory(equality)],[2,73]),
[iquote('para(2,73)')] ).
cnf(93,plain,
equal(join(A,meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[90,4]),1]),
[iquote('para(90,4),flip(1)')] ).
cnf(94,plain,
equal(meet2(meet2(A,join(B,meet(C,A))),meet(C,A)),meet(C,A)),
inference(para,[status(thm),theory(equality)],[23,9]),
[iquote('para(23,9)')] ).
cnf(100,plain,
equal(join(meet2(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[68,27]),33,35]),1]),
[iquote('para(68,27),demod([33,35]),flip(1)')] ).
cnf(104,plain,
equal(join(A,meet2(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[100,4]),1]),
[iquote('para(100,4),flip(1)')] ).
cnf(122,plain,
equal(meet(meet(A,join(B,meet2(C,A))),meet2(C,A)),meet2(C,A)),
inference(para,[status(thm),theory(equality)],[36,16]),
[iquote('para(36,16)')] ).
cnf(159,plain,
equal(meet(meet(A,join(B,meet2(A,C))),meet2(A,C)),meet2(A,C)),
inference(para,[status(thm),theory(equality)],[100,16]),
[iquote('para(100,16)')] ).
cnf(308,plain,
equal(meet(meet(A,meet2(A,B)),meet2(A,B)),meet2(A,B)),
inference(para,[status(thm),theory(equality)],[2,159]),
[iquote('para(2,159)')] ).
cnf(309,plain,
equal(meet(meet2(A,B),meet(A,meet2(A,B))),meet2(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[308,3]),1]),
[iquote('para(308,3),flip(1)')] ).
cnf(315,plain,
equal(meet(A,meet(B,A)),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,71]),1]),
[iquote('para(23,71),demod([1])')] ).
cnf(316,plain,
equal(meet(A,meet2(A,B)),meet2(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[309]),315]),
[iquote('back_demod(309),demod([315])')] ).
cnf(600,plain,
equal(meet2(meet2(A,B),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[93,94]),
[iquote('para(93,94)')] ).
cnf(605,plain,
equal(meet(meet2(A,B),meet(B,A)),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[600,316]),600]),
[iquote('para(600,316),demod([600])')] ).
cnf(606,plain,
equal(meet(meet(A,B),meet2(B,A)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[605,3]),1]),
[iquote('para(605,3),flip(1)')] ).
cnf(657,plain,
equal(meet2(A,B),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[104,122]),606]),1]),
[iquote('para(104,122),demod([606]),flip(1)')] ).
cnf(714,plain,
~ equal(meet(b,a),meet(a,b)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),657]),
[iquote('back_demod(11),demod([657])')] ).
cnf(715,plain,
$false,
inference(conflict,[status(thm)],[714,3]),
[iquote('conflict(714,3)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 23:46:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/1.24 ----- EQP 0.9e, May 2009 -----
% 0.86/1.24 The job began on n009.cluster.edu, Wed Jun 29 23:46:23 2022
% 0.86/1.24 The command was "./eqp09e".
% 0.86/1.24
% 0.86/1.24 set(prolog_style_variables).
% 0.86/1.24 set(lrpo).
% 0.86/1.24 set(basic_paramod).
% 0.86/1.24 set(functional_subsume).
% 0.86/1.24 set(ordered_paramod).
% 0.86/1.24 set(prime_paramod).
% 0.86/1.24 set(para_pairs).
% 0.86/1.24 assign(pick_given_ratio,4).
% 0.86/1.24 clear(print_kept).
% 0.86/1.24 clear(print_new_demod).
% 0.86/1.24 clear(print_back_demod).
% 0.86/1.24 clear(print_given).
% 0.86/1.24 assign(max_mem,64000).
% 0.86/1.24 end_of_commands.
% 0.86/1.24
% 0.86/1.24 Usable:
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Sos:
% 0.86/1.24 0 (wt=-1) [] meet(A,A) = A.
% 0.86/1.24 0 (wt=-1) [] join(A,A) = A.
% 0.86/1.24 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.86/1.24 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.86/1.24 0 (wt=-1) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 0 (wt=-1) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 0.86/1.24 0 (wt=-1) [] meet2(A,A) = A.
% 0.86/1.24 0 (wt=-1) [] meet2(A,B) = meet2(B,A).
% 0.86/1.24 0 (wt=-1) [] meet2(meet2(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 0 (wt=-1) [] join(join(meet2(A,B),meet2(C,B)),B) = B.
% 0.86/1.24 0 (wt=-1) [] -(meet(a,b) = meet2(a,b)).
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Demodulators:
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Passive:
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Starting to process input.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.86/1.24 1 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.86/1.24 2 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.86/1.24 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 0.86/1.24
% 0.86/1.24 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 0.86/1.24 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 0.86/1.24
% 0.86/1.24 ** KEPT: 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 5 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 0.86/1.24 6 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 7 (wt=5) [] meet2(A,A) = A.
% 0.86/1.24 7 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 8 (wt=7) [] meet2(A,B) = meet2(B,A).
% 0.86/1.24 clause forward subsumed: 0 (wt=7) [flip(8)] meet2(B,A) = meet2(A,B).
% 0.86/1.24
% 0.86/1.24 ** KEPT: 9 (wt=11) [] meet2(meet2(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 9 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 10 (wt=11) [] join(join(meet2(A,B),meet2(C,B)),B) = B.
% 0.86/1.24 10 is a new demodulator.
% 0.86/1.24
% 0.86/1.24 ** KEPT: 11 (wt=7) [flip(1)] -(meet2(a,b) = meet(a,b)).
% 0.86/1.24 ---------------- PROOF FOUND ----------------
% 0.86/1.24 % SZS status Unsatisfiable
% 0.86/1.24
% 0.86/1.24
% 0.86/1.24 After processing input:
% 0.86/1.24
% 0.86/1.24 Usable:
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Sos:
% 0.86/1.24 1 (wt=5) [] meet(A,A) = A.
% 0.86/1.24 2 (wt=5) [] join(A,A) = A.
% 0.86/1.24 7 (wt=5) [] meet2(A,A) = A.
% 0.86/1.24 3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.86/1.24 4 (wt=7) [] join(A,B) = join(B,A).
% 0.86/1.24 8 (wt=7) [] meet2(A,B) = meet2(B,A).
% 0.86/1.24 11 (wt=7) [flip(1)] -(meet2(a,b) = meet(a,b)).
% 0.86/1.24 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 0.86/1.24 9 (wt=11) [] meet2(meet2(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 10 (wt=11) [] join(join(meet2(A,B),meet2(C,B)),B) = B.
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Demodulators:
% 0.86/1.24 1 (wt=5) [] meet(A,A) = A.
% 0.86/1.24 2 (wt=5) [] join(A,A) = A.
% 0.86/1.24 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 0.86/1.24 7 (wt=5) [] meet2(A,A) = A.
% 0.86/1.24 9 (wt=11) [] meet2(meet2(join(A,B),join(C,B)),B) = B.
% 0.86/1.24 10 (wt=11) [] join(join(meet2(A,B),meet2(C,B)),B) = B.
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 Passive:
% 0.86/1.24 end_of_list.
% 0.86/1.24
% 0.86/1.24 UNIT CONFLICT from 714 and 3 at 0.07 seconds.
% 0.86/1.24
% 0.86/1.24 ---------------- PROOF ----------------
% 0.86/1.24 % SZS output start Refutation
% See solution above
% 0.86/1.24 ------------ end of proof -------------
% 0.86/1.24
% 0.86/1.24
% 0.86/1.24 ------------- memory usage ------------
% 0.86/1.24 Memory dynamically allocated (tp_alloc): 1464.
% 0.86/1.24 type (bytes each) gets frees in use avail bytes
% 0.86/1.24 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.86/1.24 term ( 16) 138119 121329 16790 40 325.9 K
% 0.86/1.24 gen_ptr ( 8) 111501 40365 71136 124 556.7 K
% 0.86/1.24 context ( 808) 105403 105401 2 3 3.9 K
% 0.86/1.24 trail ( 12) 9606 9606 0 5 0.1 K
% 0.86/1.24 bt_node ( 68) 50281 50276 5 14 1.3 K
% 0.86/1.24 ac_position (285432) 0 0 0 0 0.0 K
% 0.86/1.24 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.86/1.24 ac_match_free_vars_pos (4020)
% 0.86/1.24 0 0 0 0 0.0 K
% 0.86/1.24 discrim ( 12) 18429 9494 8935 6480 180.6 K
% 0.86/1.24 flat ( 40) 228127 228127 0 33 1.3 K
% 0.86/1.24 discrim_pos ( 12) 7161 7161 0 1 0.0 K
% 0.86/1.24 fpa_head ( 12) 3938 0 3938 0 46.1 K
% 0.86/1.24 fpa_tree ( 28) 4024 4024 0 11 0.3 K
% 0.86/1.24 fpa_pos ( 36) 1423 1423 0 1 0.0 K
% 0.86/1.24 literal ( 12) 5056 4342 714 0 8.4 K
% 0.86/1.24 clause ( 24) 5056 4342 714 0 16.7 K
% 0.86/1.24 list ( 12) 768 711 57 4 0.7 K
% 0.86/1.24 list_pos ( 20) 3716 2135 1581 1199 54.3 K
% 0.86/1.24 pair_index ( 40) 2 0 2 0 0.1 K
% 0.86/1.24
% 0.86/1.24 -------------- statistics -------------
% 0.86/1.24 Clauses input 11
% 0.86/1.24 Usable input 0
% 0.86/1.24 Sos input 11
% 0.86/1.24 Demodulators input 0
% 0.86/1.24 Passive input 0
% 0.86/1.24
% 0.86/1.24 Processed BS (before search) 14
% 0.86/1.24 Forward subsumed BS 3
% 0.86/1.24 Kept BS 11
% 0.86/1.24 New demodulators BS 7
% 0.86/1.24 Back demodulated BS 0
% 0.86/1.24
% 0.86/1.24 Clauses or pairs given 10099
% 0.86/1.24 Clauses generated 4294
% 0.86/1.24 Forward subsumed 3591
% 0.86/1.24 Deleted by weight 0
% 0.86/1.24 Deleted by variable count 0
% 0.86/1.24 Kept 703
% 0.86/1.24 New demodulators 702
% 0.86/1.24 Back demodulated 424
% 0.86/1.24 Ordered paramod prunes 0
% 0.86/1.24 Basic paramod prunes 34625
% 0.86/1.24 Prime paramod prunes 18
% 0.86/1.24 Semantic prunes 0
% 0.86/1.24
% 0.86/1.24 Rewrite attmepts 38868
% 0.86/1.24 Rewrites 7113
% 0.86/1.24
% 0.86/1.24 FPA overloads 0
% 0.86/1.24 FPA underloads 0
% 0.86/1.24
% 0.86/1.24 Usable size 0
% 0.86/1.24 Sos size 289
% 0.86/1.24 Demodulators size 286
% 0.86/1.24 Passive size 0
% 0.86/1.24 Disabled size 424
% 0.86/1.24
% 0.86/1.24 Proofs found 1
% 0.86/1.24
% 0.86/1.24 ----------- times (seconds) ----------- Wed Jun 29 23:46:23 2022
% 0.86/1.24
% 0.86/1.24 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.86/1.24 system CPU time 0.12 (0 hr, 0 min, 0 sec)
% 0.86/1.24 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.86/1.24 input time 0.00
% 0.86/1.24 paramodulation time 0.02
% 0.86/1.24 demodulation time 0.01
% 0.86/1.24 orient time 0.01
% 0.86/1.24 weigh time 0.00
% 0.86/1.24 forward subsume time 0.01
% 0.86/1.24 back demod find time 0.00
% 0.86/1.24 conflict time 0.00
% 0.86/1.24 LRPO time 0.00
% 0.86/1.24 store clause time 0.01
% 0.86/1.24 disable clause time 0.00
% 0.86/1.24 prime paramod time 0.00
% 0.86/1.24 semantics time 0.00
% 0.86/1.24
% 0.86/1.24 EQP interrupted
%------------------------------------------------------------------------------