TSTP Solution File: LAT011-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n020.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 04:34:15 EDT 2022
% Result : Unsatisfiable 1.91s 2.30s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 3 RR)
% Number of literals : 30 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 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 : 57 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT011-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT011-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT011-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT011-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT011-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT011-1.p',unknown),
[] ).
cnf(10,plain,
equal(meet2(A,B),meet2(B,A)),
file('LAT011-1.p',unknown),
[] ).
cnf(11,plain,
equal(meet2(A,join(A,B)),A),
file('LAT011-1.p',unknown),
[] ).
cnf(12,plain,
equal(join(A,meet2(A,B)),A),
file('LAT011-1.p',unknown),
[] ).
cnf(13,plain,
equal(meet2(meet2(A,B),C),meet2(A,meet2(B,C))),
file('LAT011-1.p',unknown),
[] ).
cnf(14,plain,
~ equal(meet2(a,b),meet(a,b)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(16,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(17,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(18,plain,
equal(join(meet(A,B),A),A),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(21,plain,
equal(meet2(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,11]),
[iquote('para(6,11)')] ).
cnf(25,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(30,plain,
equal(join(A,meet2(B,A)),A),
inference(para,[status(thm),theory(equality)],[10,12]),
[iquote('para(10,12)')] ).
cnf(43,plain,
equal(meet(meet2(A,B),A),meet2(A,B)),
inference(para,[status(thm),theory(equality)],[12,17]),
[iquote('para(12,17)')] ).
cnf(44,plain,
equal(meet2(meet(A,B),A),meet(A,B)),
inference(para,[status(thm),theory(equality)],[18,11]),
[iquote('para(18,11)')] ).
cnf(50,plain,
equal(meet2(meet(A,B),B),meet(A,B)),
inference(para,[status(thm),theory(equality)],[16,21]),
[iquote('para(16,21)')] ).
cnf(59,plain,
equal(meet(meet2(A,B),B),meet2(A,B)),
inference(para,[status(thm),theory(equality)],[30,17]),
[iquote('para(30,17)')] ).
cnf(79,plain,
equal(meet(A,meet2(A,B)),meet2(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,5]),1]),
[iquote('para(43,5),flip(1)')] ).
cnf(81,plain,
equal(meet2(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[44,10]),1]),
[iquote('para(44,10),flip(1)')] ).
cnf(85,plain,
equal(meet2(A,meet(B,A)),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[50,10]),1]),
[iquote('para(50,10),flip(1)')] ).
cnf(89,plain,
equal(meet(A,meet2(B,A)),meet2(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[59,5]),1]),
[iquote('para(59,5),flip(1)')] ).
cnf(829,plain,
equal(join(meet(A,B),meet(A,meet2(B,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[79,25]),
[iquote('para(79,25)')] ).
cnf(4844,plain,
equal(join(meet(A,B),meet2(B,A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[89,829]),
[iquote('para(89,829)')] ).
cnf(4846,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)],[4844,21]),13,81,85]),1]),
[iquote('para(4844,21),demod([13,81,85]),flip(1)')] ).
cnf(5066,plain,
~ equal(meet(b,a),meet(a,b)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),4846]),
[iquote('back_demod(14),demod([4846])')] ).
cnf(5067,plain,
$false,
inference(conflict,[status(thm)],[5066,5]),
[iquote('conflict(5066,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n020.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 28 23:08:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.91/2.30 ----- EQP 0.9e, May 2009 -----
% 1.91/2.30 The job began on n020.cluster.edu, Tue Jun 28 23:08:02 2022
% 1.91/2.30 The command was "./eqp09e".
% 1.91/2.30
% 1.91/2.30 set(prolog_style_variables).
% 1.91/2.30 set(lrpo).
% 1.91/2.30 set(basic_paramod).
% 1.91/2.30 set(functional_subsume).
% 1.91/2.30 set(ordered_paramod).
% 1.91/2.30 set(prime_paramod).
% 1.91/2.30 set(para_pairs).
% 1.91/2.30 assign(pick_given_ratio,4).
% 1.91/2.30 clear(print_kept).
% 1.91/2.30 clear(print_new_demod).
% 1.91/2.30 clear(print_back_demod).
% 1.91/2.30 clear(print_given).
% 1.91/2.30 assign(max_mem,64000).
% 1.91/2.30 end_of_commands.
% 1.91/2.30
% 1.91/2.30 Usable:
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Sos:
% 1.91/2.30 0 (wt=-1) [] meet(A,A) = A.
% 1.91/2.30 0 (wt=-1) [] join(A,A) = A.
% 1.91/2.30 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 1.91/2.30 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 1.91/2.30 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.91/2.30 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.91/2.30 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.91/2.30 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.91/2.30 0 (wt=-1) [] meet2(A,A) = A.
% 1.91/2.30 0 (wt=-1) [] meet2(A,B) = meet2(B,A).
% 1.91/2.30 0 (wt=-1) [] meet2(A,join(A,B)) = A.
% 1.91/2.30 0 (wt=-1) [] join(A,meet2(A,B)) = A.
% 1.91/2.30 0 (wt=-1) [] meet2(meet2(A,B),C) = meet2(A,meet2(B,C)).
% 1.91/2.30 0 (wt=-1) [] -(meet(a,b) = meet2(a,b)).
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Demodulators:
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Passive:
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Starting to process input.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.91/2.30 1 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.91/2.30 2 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.91/2.30 3 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.91/2.30 4 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.91/2.30 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 1.91/2.30
% 1.91/2.30 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 1.91/2.30 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 1.91/2.30
% 1.91/2.30 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.91/2.30 7 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.91/2.30 8 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 9 (wt=5) [] meet2(A,A) = A.
% 1.91/2.30 9 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 10 (wt=7) [] meet2(A,B) = meet2(B,A).
% 1.91/2.30 clause forward subsumed: 0 (wt=7) [flip(10)] meet2(B,A) = meet2(A,B).
% 1.91/2.30
% 1.91/2.30 ** KEPT: 11 (wt=7) [] meet2(A,join(A,B)) = A.
% 1.91/2.30 11 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 12 (wt=7) [] join(A,meet2(A,B)) = A.
% 1.91/2.30 12 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 13 (wt=11) [] meet2(meet2(A,B),C) = meet2(A,meet2(B,C)).
% 1.91/2.30 13 is a new demodulator.
% 1.91/2.30
% 1.91/2.30 ** KEPT: 14 (wt=7) [flip(1)] -(meet2(a,b) = meet(a,b)).
% 1.91/2.30 ---------------- PROOF FOUND ----------------
% 1.91/2.30 % SZS status Unsatisfiable
% 1.91/2.30
% 1.91/2.30
% 1.91/2.30 After processing input:
% 1.91/2.30
% 1.91/2.30 Usable:
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Sos:
% 1.91/2.30 1 (wt=5) [] meet(A,A) = A.
% 1.91/2.30 2 (wt=5) [] join(A,A) = A.
% 1.91/2.30 9 (wt=5) [] meet2(A,A) = A.
% 1.91/2.30 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.91/2.30 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.91/2.30 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.91/2.30 6 (wt=7) [] join(A,B) = join(B,A).
% 1.91/2.30 10 (wt=7) [] meet2(A,B) = meet2(B,A).
% 1.91/2.30 11 (wt=7) [] meet2(A,join(A,B)) = A.
% 1.91/2.30 12 (wt=7) [] join(A,meet2(A,B)) = A.
% 1.91/2.30 14 (wt=7) [flip(1)] -(meet2(a,b) = meet(a,b)).
% 1.91/2.30 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.91/2.30 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.91/2.30 13 (wt=11) [] meet2(meet2(A,B),C) = meet2(A,meet2(B,C)).
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Demodulators:
% 1.91/2.30 1 (wt=5) [] meet(A,A) = A.
% 1.91/2.30 2 (wt=5) [] join(A,A) = A.
% 1.91/2.30 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.91/2.30 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.91/2.30 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.91/2.30 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.91/2.30 9 (wt=5) [] meet2(A,A) = A.
% 1.91/2.30 11 (wt=7) [] meet2(A,join(A,B)) = A.
% 1.91/2.30 12 (wt=7) [] join(A,meet2(A,B)) = A.
% 1.91/2.30 13 (wt=11) [] meet2(meet2(A,B),C) = meet2(A,meet2(B,C)).
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 Passive:
% 1.91/2.30 end_of_list.
% 1.91/2.30
% 1.91/2.30 UNIT CONFLICT from 5066 and 5 at 0.65 seconds.
% 1.91/2.30
% 1.91/2.30 ---------------- PROOF ----------------
% 1.91/2.30 % SZS output start Refutation
% See solution above
% 1.91/2.30 ------------ end of proof -------------
% 1.91/2.30
% 1.91/2.30
% 1.91/2.30 ------------- memory usage ------------
% 1.91/2.30 Memory dynamically allocated (tp_alloc): 6347.
% 1.91/2.30 type (bytes each) gets frees in use avail bytes
% 1.91/2.30 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.91/2.30 term ( 16) 918888 825560 93328 26 1803.5 K
% 1.91/2.30 gen_ptr ( 8) 608974 250080 358894 264 2805.9 K
% 1.91/2.30 context ( 808) 606845 606843 2 8 7.9 K
% 1.91/2.30 trail ( 12) 74761 74761 0 6 0.1 K
% 1.91/2.30 bt_node ( 68) 245248 245245 3 10 0.9 K
% 1.91/2.30 ac_position (285432) 0 0 0 0 0.0 K
% 1.91/2.30 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.91/2.30 ac_match_free_vars_pos (4020)
% 1.91/2.30 0 0 0 0 0.0 K
% 1.91/2.30 discrim ( 12) 60521 36835 23686 31525 647.0 K
% 1.91/2.30 flat ( 40) 1656443 1656443 0 29 1.1 K
% 1.91/2.30 discrim_pos ( 12) 54393 54393 0 1 0.0 K
% 1.91/2.30 fpa_head ( 12) 9236 0 9236 0 108.2 K
% 1.91/2.30 fpa_tree ( 28) 9900 9900 0 9 0.2 K
% 1.91/2.30 fpa_pos ( 36) 9165 9165 0 1 0.0 K
% 1.91/2.30 literal ( 12) 40935 35869 5066 1 59.4 K
% 1.91/2.30 clause ( 24) 40935 35869 5066 1 118.8 K
% 1.91/2.30 list ( 12) 4158 4101 57 2 0.7 K
% 1.91/2.30 list_pos ( 20) 25733 15499 10234 10405 403.1 K
% 1.91/2.30 pair_index ( 40) 2 0 2 0 0.1 K
% 1.91/2.30
% 1.91/2.30 -------------- statistics -------------
% 1.91/2.30 Clauses input 14
% 1.91/2.30 Usable input 0
% 1.91/2.30 Sos input 14
% 1.91/2.30 Demodulators input 0
% 1.91/2.30 Passive input 0
% 1.91/2.30
% 1.91/2.30 Processed BS (before search) 17
% 1.91/2.30 Forward subsumed BS 3
% 1.91/2.30 Kept BS 14
% 1.91/2.30 New demodulators BS 10
% 1.91/2.30 Back demodulated BS 0
% 1.91/2.30
% 1.91/2.30 Clauses or pairs given 56211
% 1.91/2.30 Clauses generated 29321
% 1.91/2.30 Forward subsumed 24269
% 1.91/2.30 Deleted by weight 0
% 1.91/2.30 Deleted by variable count 0
% 1.91/2.30 Kept 5052
% 1.91/2.30 New demodulators 4089
% 1.91/2.30 Back demodulated 3210
% 1.91/2.30 Ordered paramod prunes 0
% 1.91/2.30 Basic paramod prunes 168131
% 1.91/2.30 Prime paramod prunes 739
% 1.91/2.30 Semantic prunes 0
% 1.91/2.30
% 1.91/2.30 Rewrite attmepts 262812
% 1.91/2.30 Rewrites 48794
% 1.91/2.30
% 1.91/2.30 FPA overloads 0
% 1.91/2.30 FPA underloads 0
% 1.91/2.30
% 1.91/2.30 Usable size 0
% 1.91/2.30 Sos size 1855
% 1.91/2.30 Demodulators size 1454
% 1.91/2.30 Passive size 0
% 1.91/2.30 Disabled size 3210
% 1.91/2.30
% 1.91/2.30 Proofs found 1
% 1.91/2.30
% 1.91/2.30 ----------- times (seconds) ----------- Tue Jun 28 23:08:03 2022
% 1.91/2.30
% 1.91/2.30 user CPU time 0.65 (0 hr, 0 min, 0 sec)
% 1.91/2.30 system CPU time 0.57 (0 hr, 0 min, 0 sec)
% 1.91/2.30 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.91/2.30 input time 0.00
% 1.91/2.30 paramodulation time 0.11
% 1.91/2.30 demodulation time 0.05
% 1.91/2.30 orient time 0.04
% 1.91/2.30 weigh time 0.02
% 1.91/2.30 forward subsume time 0.02
% 1.91/2.30 back demod find time 0.02
% 1.91/2.30 conflict time 0.00
% 1.91/2.30 LRPO time 0.02
% 1.91/2.30 store clause time 0.14
% 1.91/2.30 disable clause time 0.10
% 1.91/2.30 prime paramod time 0.04
% 1.91/2.30 semantics time 0.00
% 1.91/2.30
% 1.91/2.30 EQP interrupted
%------------------------------------------------------------------------------