TSTP Solution File: LAT162-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT162-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n016.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 04:35:00 EDT 2022
% Result : Unsatisfiable 5.16s 5.52s
% Output : Refutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 2 RR)
% Number of literals : 26 ( 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 : 66 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT162-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT162-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT162-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT162-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT162-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT162-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT162-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,meet(A,join(C,meet(A,B))))),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(a,meet(b,join(c,meet(a,join(d,meet(b,c)))))),meet(a,meet(b,join(c,d)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(12,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(13,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(21,plain,
equal(join(meet(A,B),meet(A,meet(B,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(22,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,13]),7]),
[iquote('para(4,13),demod([7])')] ).
cnf(23,plain,
equal(meet(join(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),1]),
[iquote('para(13,5),flip(1)')] ).
cnf(24,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(36,plain,
equal(meet(A,join(B,meet(A,join(C,meet(B,A))))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[5,9]),
[iquote('para(5,9)')] ).
cnf(42,plain,
equal(meet(A,meet(B,join(C,meet(A,meet(B,join(D,meet(A,meet(B,C)))))))),meet(A,meet(B,join(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,9]),7,7,7]),
[iquote('para(7,9),demod([7,7,7])')] ).
cnf(56,plain,
equal(join(A,meet(B,meet(C,A))),A),
inference(para,[status(thm),theory(equality)],[7,12]),
[iquote('para(7,12)')] ).
cnf(57,plain,
equal(join(A,join(B,meet(C,A))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,56]),8]),
[iquote('para(3,56),demod([8])')] ).
cnf(90,plain,
equal(join(meet(A,B),meet(B,meet(C,A))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[24,12]),
[iquote('para(24,12)')] ).
cnf(112,plain,
equal(meet(A,meet(B,meet(A,C))),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,7]),7,7]),1]),
[iquote('para(22,7),demod([7,7]),flip(1)')] ).
cnf(119,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[23,21]),
[iquote('para(23,21)')] ).
cnf(287,plain,
equal(meet(A,join(B,meet(A,join(C,join(D,meet(B,A)))))),meet(A,join(B,join(C,D)))),
inference(para,[status(thm),theory(equality)],[8,36]),
[iquote('para(8,36)')] ).
cnf(2965,plain,
equal(meet(A,meet(B,join(C,meet(A,meet(B,join(D,meet(B,C))))))),meet(A,meet(B,join(C,meet(A,join(D,meet(B,C))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[119,42]),112]),
[iquote('para(119,42),demod([112])')] ).
cnf(15698,plain,
equal(meet(A,meet(B,join(C,meet(A,join(D,meet(B,C)))))),meet(A,meet(B,join(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[90,287]),7,7,2965,57,7]),
[iquote('para(90,287),demod([7,7,2965,57,7])')] ).
cnf(15699,plain,
$false,
inference(conflict,[status(thm)],[15698,10]),
[iquote('conflict(15698,10)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT162-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n016.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 : Thu Jun 30 00:33:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.16/5.52 ----- EQP 0.9e, May 2009 -----
% 5.16/5.52 The job began on n016.cluster.edu, Thu Jun 30 00:33:25 2022
% 5.16/5.52 The command was "./eqp09e".
% 5.16/5.52
% 5.16/5.52 set(prolog_style_variables).
% 5.16/5.52 set(lrpo).
% 5.16/5.52 set(basic_paramod).
% 5.16/5.52 set(functional_subsume).
% 5.16/5.52 set(ordered_paramod).
% 5.16/5.52 set(prime_paramod).
% 5.16/5.52 set(para_pairs).
% 5.16/5.52 assign(pick_given_ratio,4).
% 5.16/5.52 clear(print_kept).
% 5.16/5.52 clear(print_new_demod).
% 5.16/5.52 clear(print_back_demod).
% 5.16/5.52 clear(print_given).
% 5.16/5.52 assign(max_mem,64000).
% 5.16/5.52 end_of_commands.
% 5.16/5.52
% 5.16/5.52 Usable:
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Sos:
% 5.16/5.52 0 (wt=-1) [] meet(A,A) = A.
% 5.16/5.52 0 (wt=-1) [] join(A,A) = A.
% 5.16/5.52 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 5.16/5.52 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 5.16/5.52 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 5.16/5.52 0 (wt=-1) [] join(A,B) = join(B,A).
% 5.16/5.52 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 5.16/5.52 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 5.16/5.52 0 (wt=-1) [] meet(A,join(B,C)) = meet(A,join(B,meet(A,join(C,meet(A,B))))).
% 5.16/5.52 0 (wt=-1) [] -(meet(a,meet(b,join(c,d))) = meet(a,meet(b,join(c,meet(a,join(d,meet(b,c))))))).
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Demodulators:
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Passive:
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Starting to process input.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 5.16/5.52 1 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 5.16/5.52 2 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 5.16/5.52 3 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 5.16/5.52 4 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 5.16/5.52 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 5.16/5.52
% 5.16/5.52 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 5.16/5.52 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 5.16/5.52
% 5.16/5.52 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 5.16/5.52 7 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 5.16/5.52 8 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 9 (wt=17) [flip(1)] meet(A,join(B,meet(A,join(C,meet(A,B))))) = meet(A,join(B,C)).
% 5.16/5.52 9 is a new demodulator.
% 5.16/5.52
% 5.16/5.52 ** KEPT: 10 (wt=21) [flip(1)] -(meet(a,meet(b,join(c,meet(a,join(d,meet(b,c)))))) = meet(a,meet(b,join(c,d)))).
% 5.16/5.52 ---------------- PROOF FOUND ----------------
% 5.16/5.52 % SZS status Unsatisfiable
% 5.16/5.52
% 5.16/5.52
% 5.16/5.52 After processing input:
% 5.16/5.52
% 5.16/5.52 Usable:
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Sos:
% 5.16/5.52 1 (wt=5) [] meet(A,A) = A.
% 5.16/5.52 2 (wt=5) [] join(A,A) = A.
% 5.16/5.52 3 (wt=7) [] meet(A,join(A,B)) = A.
% 5.16/5.52 4 (wt=7) [] join(A,meet(A,B)) = A.
% 5.16/5.52 5 (wt=7) [] meet(A,B) = meet(B,A).
% 5.16/5.52 6 (wt=7) [] join(A,B) = join(B,A).
% 5.16/5.52 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 5.16/5.52 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 5.16/5.52 9 (wt=17) [flip(1)] meet(A,join(B,meet(A,join(C,meet(A,B))))) = meet(A,join(B,C)).
% 5.16/5.52 10 (wt=21) [flip(1)] -(meet(a,meet(b,join(c,meet(a,join(d,meet(b,c)))))) = meet(a,meet(b,join(c,d)))).
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Demodulators:
% 5.16/5.52 1 (wt=5) [] meet(A,A) = A.
% 5.16/5.52 2 (wt=5) [] join(A,A) = A.
% 5.16/5.52 3 (wt=7) [] meet(A,join(A,B)) = A.
% 5.16/5.52 4 (wt=7) [] join(A,meet(A,B)) = A.
% 5.16/5.52 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 5.16/5.52 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 5.16/5.52 9 (wt=17) [flip(1)] meet(A,join(B,meet(A,join(C,meet(A,B))))) = meet(A,join(B,C)).
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 Passive:
% 5.16/5.52 end_of_list.
% 5.16/5.52
% 5.16/5.52 UNIT CONFLICT from 15698 and 10 at 3.28 seconds.
% 5.16/5.52
% 5.16/5.52 ---------------- PROOF ----------------
% 5.16/5.52 % SZS output start Refutation
% See solution above
% 5.16/5.52 ------------ end of proof -------------
% 5.16/5.52
% 5.16/5.52
% 5.16/5.52 ------------- memory usage ------------
% 5.16/5.52 Memory dynamically allocated (tp_alloc): 25390.
% 5.16/5.52 type (bytes each) gets frees in use avail bytes
% 5.16/5.52 sym_ent ( 96) 57 0 57 0 5.3 K
% 5.16/5.52 term ( 16) 3614087 3237937 376150 30 7285.9 K
% 5.16/5.52 gen_ptr ( 8) 2253067 590792 1662275 25 12986.7 K
% 5.16/5.52 context ( 808) 2091871 2091869 2 8 7.9 K
% 5.16/5.52 trail ( 12) 630008 630008 0 7 0.1 K
% 5.16/5.52 bt_node ( 68) 771271 771266 5 16 1.4 K
% 5.16/5.52 ac_position (285432) 0 0 0 0 0.0 K
% 5.16/5.52 ac_match_pos (14044) 0 0 0 0 0.0 K
% 5.16/5.52 ac_match_free_vars_pos (4020)
% 5.16/5.52 0 0 0 0 0.0 K
% 5.16/5.52 discrim ( 12) 243119 28216 214903 0 2518.4 K
% 5.16/5.52 flat ( 40) 7645254 7645254 0 67 2.6 K
% 5.16/5.52 discrim_pos ( 12) 184712 184712 0 1 0.0 K
% 5.16/5.52 fpa_head ( 12) 11382 0 11382 0 133.4 K
% 5.16/5.52 fpa_tree ( 28) 47572 47572 0 37 1.0 K
% 5.16/5.52 fpa_pos ( 36) 28067 28067 0 1 0.0 K
% 5.16/5.52 literal ( 12) 145699 130001 15698 1 184.0 K
% 5.16/5.52 clause ( 24) 145699 130001 15698 1 367.9 K
% 5.16/5.52 list ( 12) 12428 12372 56 4 0.7 K
% 5.16/5.52 list_pos ( 20) 62739 7521 55218 0 1078.5 K
% 5.16/5.52 pair_index ( 40) 2 0 2 0 0.1 K
% 5.16/5.52
% 5.16/5.52 -------------- statistics -------------
% 5.16/5.52 Clauses input 10
% 5.16/5.52 Usable input 0
% 5.16/5.52 Sos input 10
% 5.16/5.52 Demodulators input 0
% 5.16/5.52 Passive input 0
% 5.16/5.52
% 5.16/5.52 Processed BS (before search) 12
% 5.16/5.52 Forward subsumed BS 2
% 5.16/5.52 Kept BS 10
% 5.16/5.52 New demodulators BS 7
% 5.16/5.52 Back demodulated BS 0
% 5.16/5.52
% 5.16/5.52 Clauses or pairs given 98935
% 5.16/5.52 Clauses generated 95718
% 5.16/5.52 Forward subsumed 80030
% 5.16/5.52 Deleted by weight 0
% 5.16/5.52 Deleted by variable count 0
% 5.16/5.52 Kept 15688
% 5.16/5.52 New demodulators 12362
% 5.16/5.52 Back demodulated 1632
% 5.16/5.52 Ordered paramod prunes 0
% 5.16/5.52 Basic paramod prunes 339248
% 5.16/5.52 Prime paramod prunes 6599
% 5.16/5.52 Semantic prunes 0
% 5.16/5.52
% 5.16/5.52 Rewrite attmepts 1024974
% 5.16/5.52 Rewrites 154065
% 5.16/5.52
% 5.16/5.52 FPA overloads 0
% 5.16/5.52 FPA underloads 0
% 5.16/5.52
% 5.16/5.52 Usable size 0
% 5.16/5.52 Sos size 14065
% 5.16/5.52 Demodulators size 11391
% 5.16/5.52 Passive size 0
% 5.16/5.52 Disabled size 1632
% 5.16/5.52
% 5.16/5.52 Proofs found 1
% 5.16/5.52
% 5.16/5.52 ----------- times (seconds) ----------- Thu Jun 30 00:33:30 2022
% 5.16/5.52
% 5.16/5.52 user CPU time 3.28 (0 hr, 0 min, 3 sec)
% 5.16/5.52 system CPU time 1.17 (0 hr, 0 min, 1 sec)
% 5.16/5.52 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.16/5.52 input time 0.00
% 5.16/5.52 paramodulation time 0.42
% 5.16/5.52 demodulation time 0.24
% 5.16/5.52 orient time 0.18
% 5.16/5.52 weigh time 0.04
% 5.16/5.52 forward subsume time 0.07
% 5.16/5.52 back demod find time 0.53
% 5.16/5.52 conflict time 0.02
% 5.16/5.52 LRPO time 0.09
% 5.16/5.52 store clause time 1.34
% 5.16/5.52 disable clause time 0.09
% 5.16/5.52 prime paramod time 0.15
% 5.16/5.52 semantics time 0.00
% 5.16/5.52
% 5.16/5.52 EQP interrupted
%------------------------------------------------------------------------------