TSTP Solution File: LAT021-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT021-1 : 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 04:34:18 EDT 2022
% Result : Unsatisfiable 0.74s 1.20s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 3 RR)
% Number of literals : 37 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 97 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT021-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT021-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT021-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT021-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT021-1.p',unknown),
[] ).
cnf(7,plain,
equal(join(meet(A,join(B,C)),meet(A,B)),meet(A,join(B,C))),
file('LAT021-1.p',unknown),
[] ).
cnf(8,plain,
equal(meet(join(A,meet(B,C)),join(A,B)),join(A,meet(B,C))),
file('LAT021-1.p',unknown),
[] ).
cnf(9,plain,
equal(join(A,join(meet(B,C),meet(join(A,B),C))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[6]),
[iquote('demod([6])')] ).
cnf(10,plain,
~ equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))),
file('LAT021-1.p',unknown),
[] ).
cnf(11,plain,
equal(meet(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5]),1]),
[iquote('para(1,5),flip(1)')] ).
cnf(25,plain,
equal(join(meet(join(A,B),C),meet(C,A)),meet(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(27,plain,
equal(join(meet(A,join(B,C)),meet(B,A)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(29,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(42,plain,
equal(meet(join(A,meet(B,C)),join(A,C)),join(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(47,plain,
equal(meet(join(A,meet(B,C)),join(B,A)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,8]),
[iquote('para(4,8)')] ).
cnf(64,plain,
equal(join(A,join(meet(B,C),meet(join(B,A),C))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(79,plain,
~ equal(meet(a,join(c,b)),join(meet(a,b),meet(a,c))),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(236,plain,
equal(join(meet(join(A,B),C),meet(A,C)),meet(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[3,25]),
[iquote('para(3,25)')] ).
cnf(383,plain,
equal(join(meet(A,join(B,meet(A,C))),meet(A,C)),meet(A,join(meet(A,C),B))),
inference(para,[status(thm),theory(equality)],[11,29]),
[iquote('para(11,29)')] ).
cnf(384,plain,
equal(meet(A,join(meet(A,B),C)),join(meet(A,join(C,meet(A,B))),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[383]),
[iquote('flip(383)')] ).
cnf(596,plain,
equal(meet(join(A,B),join(A,meet(C,B))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,3]),1]),
[iquote('para(42,3),flip(1)')] ).
cnf(698,plain,
equal(meet(A,join(B,C)),join(meet(B,A),meet(join(B,C),A))),
inference(para,[status(thm),theory(equality)],[236,4]),
[iquote('para(236,4)')] ).
cnf(799,plain,
equal(meet(A,meet(join(B,C),join(B,meet(A,join(B,C))))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,47]),5,27]),
[iquote('para(27,47),demod([5,27])')] ).
cnf(888,plain,
equal(join(meet(A,B),meet(join(A,C),B)),meet(join(A,C),B)),
inference(para,[status(thm),theory(equality)],[698,3]),
[iquote('para(698,3)')] ).
cnf(889,plain,
equal(join(A,meet(join(B,A),C)),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),888]),
[iquote('back_demod(64),demod([888])')] ).
cnf(965,plain,
equal(join(A,meet(B,join(C,A))),join(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[3,889]),
[iquote('para(3,889)')] ).
cnf(968,plain,
equal(join(A,meet(join(A,B),C)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,889]),
[iquote('para(4,889)')] ).
cnf(975,plain,
equal(join(A,meet(B,C)),join(meet(C,join(B,A)),A)),
inference(para,[status(thm),theory(equality)],[965,4]),
[iquote('para(965,4)')] ).
cnf(983,plain,
equal(join(A,meet(B,join(A,C))),join(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[3,968]),
[iquote('para(3,968)')] ).
cnf(984,plain,
equal(join(A,meet(B,C)),join(A,meet(C,join(A,B)))),
inference(flip,[status(thm),theory(equality)],[983]),
[iquote('flip(983)')] ).
cnf(988,plain,
equal(join(meet(A,join(B,C)),C),join(C,meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,975]),1]),
[iquote('para(3,975),flip(1)')] ).
cnf(992,plain,
equal(meet(A,join(meet(A,B),C)),join(meet(A,B),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[384]),988]),
[iquote('back_demod(384),demod([988])')] ).
cnf(1002,plain,
equal(join(A,meet(B,join(A,C))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,984]),1]),
[iquote('para(3,984),flip(1)')] ).
cnf(1003,plain,
equal(meet(A,join(B,meet(C,A))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[799]),1002,596]),
[iquote('back_demod(799),demod([1002,596])')] ).
cnf(1028,plain,
equal(meet(A,join(B,meet(A,C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[3,1003]),
[iquote('para(3,1003)')] ).
cnf(1051,plain,
equal(meet(A,join(B,C)),join(meet(A,C),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1028]),992]),1]),
[iquote('para(4,1028),demod([992]),flip(1)')] ).
cnf(1052,plain,
$false,
inference(conflict,[status(thm)],[1051,79]),
[iquote('conflict(1051,79)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT021-1 : 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 : Thu Jun 30 03:05:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.20 ----- EQP 0.9e, May 2009 -----
% 0.74/1.20 The job began on n009.cluster.edu, Thu Jun 30 03:05:38 2022
% 0.74/1.20 The command was "./eqp09e".
% 0.74/1.20
% 0.74/1.20 set(prolog_style_variables).
% 0.74/1.20 set(lrpo).
% 0.74/1.20 set(basic_paramod).
% 0.74/1.20 set(functional_subsume).
% 0.74/1.20 set(ordered_paramod).
% 0.74/1.20 set(prime_paramod).
% 0.74/1.20 set(para_pairs).
% 0.74/1.20 assign(pick_given_ratio,4).
% 0.74/1.20 clear(print_kept).
% 0.74/1.20 clear(print_new_demod).
% 0.74/1.20 clear(print_back_demod).
% 0.74/1.20 clear(print_given).
% 0.74/1.20 assign(max_mem,64000).
% 0.74/1.20 end_of_commands.
% 0.74/1.20
% 0.74/1.20 Usable:
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Sos:
% 0.74/1.20 0 (wt=-1) [] meet(A,A) = A.
% 0.74/1.20 0 (wt=-1) [] join(A,A) = A.
% 0.74/1.20 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.74/1.20 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.74/1.20 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.74/1.20 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.74/1.20 0 (wt=-1) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 0.74/1.20 0 (wt=-1) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 0.74/1.20 0 (wt=-1) [] join(join(A,meet(B,C)),meet(join(A,B),C)) = join(A,meet(B,C)).
% 0.74/1.20 0 (wt=-1) [] -(meet(a,join(b,c)) = join(meet(a,b),meet(a,c))).
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Demodulators:
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Passive:
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Starting to process input.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.74/1.20 1 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.74/1.20 2 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.74/1.20 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 0.74/1.20
% 0.74/1.20 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 0.74/1.20 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 0.74/1.20
% 0.74/1.20 ** KEPT: 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.74/1.20 5 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.74/1.20 6 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 0.74/1.20 7 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 0.74/1.20 8 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 9 (wt=17) [demod([6])] join(A,join(meet(B,C),meet(join(A,B),C))) = join(A,meet(B,C)).
% 0.74/1.20 9 is a new demodulator.
% 0.74/1.20
% 0.74/1.20 ** KEPT: 10 (wt=13) [] -(meet(a,join(b,c)) = join(meet(a,b),meet(a,c))).
% 0.74/1.20 ---------------- PROOF FOUND ----------------
% 0.74/1.20 % SZS status Unsatisfiable
% 0.74/1.20
% 0.74/1.20
% 0.74/1.20 After processing input:
% 0.74/1.20
% 0.74/1.20 Usable:
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Sos:
% 0.74/1.20 1 (wt=5) [] meet(A,A) = A.
% 0.74/1.20 2 (wt=5) [] join(A,A) = A.
% 0.74/1.20 3 (wt=7) [] meet(A,B) = meet(B,A).
% 0.74/1.20 4 (wt=7) [] join(A,B) = join(B,A).
% 0.74/1.20 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.74/1.20 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.74/1.20 10 (wt=13) [] -(meet(a,join(b,c)) = join(meet(a,b),meet(a,c))).
% 0.74/1.20 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 0.74/1.20 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 0.74/1.20 9 (wt=17) [demod([6])] join(A,join(meet(B,C),meet(join(A,B),C))) = join(A,meet(B,C)).
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Demodulators:
% 0.74/1.20 1 (wt=5) [] meet(A,A) = A.
% 0.74/1.20 2 (wt=5) [] join(A,A) = A.
% 0.74/1.20 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.74/1.20 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.74/1.20 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 0.74/1.20 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 0.74/1.20 9 (wt=17) [demod([6])] join(A,join(meet(B,C),meet(join(A,B),C))) = join(A,meet(B,C)).
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 Passive:
% 0.74/1.20 end_of_list.
% 0.74/1.20
% 0.74/1.20 UNIT CONFLICT from 1051 and 79 at 0.06 seconds.
% 0.74/1.20
% 0.74/1.20 ---------------- PROOF ----------------
% 0.74/1.20 % SZS output start Refutation
% See solution above
% 0.74/1.20 ------------ end of proof -------------
% 0.74/1.20
% 0.74/1.20
% 0.74/1.20 ------------- memory usage ------------
% 0.74/1.20 Memory dynamically allocated (tp_alloc): 1464.
% 0.74/1.20 type (bytes each) gets frees in use avail bytes
% 0.74/1.20 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.74/1.20 term ( 16) 106554 87163 19391 20 375.0 K
% 0.74/1.20 gen_ptr ( 8) 97310 24849 72461 36 566.4 K
% 0.74/1.20 context ( 808) 59522 59520 2 5 5.5 K
% 0.74/1.20 trail ( 12) 23171 23171 0 6 0.1 K
% 0.74/1.20 bt_node ( 68) 16171 16168 3 10 0.9 K
% 0.74/1.20 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.20 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.20 ac_match_free_vars_pos (4020)
% 0.74/1.20 0 0 0 0 0.0 K
% 0.74/1.20 discrim ( 12) 12775 4030 8745 852 112.5 K
% 0.74/1.20 flat ( 40) 209488 209488 0 29 1.1 K
% 0.74/1.20 discrim_pos ( 12) 6250 6250 0 1 0.0 K
% 0.74/1.20 fpa_head ( 12) 1524 0 1524 0 17.9 K
% 0.74/1.20 fpa_tree ( 28) 1817 1817 0 21 0.6 K
% 0.74/1.20 fpa_pos ( 36) 1667 1667 0 1 0.0 K
% 0.74/1.20 literal ( 12) 6299 5248 1051 1 12.3 K
% 0.74/1.20 clause ( 24) 6299 5248 1051 1 24.7 K
% 0.74/1.20 list ( 12) 675 619 56 4 0.7 K
% 0.74/1.20 list_pos ( 20) 4593 1862 2731 60 54.5 K
% 0.74/1.20 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.20
% 0.74/1.20 -------------- statistics -------------
% 0.74/1.20 Clauses input 10
% 0.74/1.20 Usable input 0
% 0.74/1.20 Sos input 10
% 0.74/1.20 Demodulators input 0
% 0.74/1.20 Passive input 0
% 0.74/1.20
% 0.74/1.20 Processed BS (before search) 12
% 0.74/1.20 Forward subsumed BS 2
% 0.74/1.20 Kept BS 10
% 0.74/1.20 New demodulators BS 7
% 0.74/1.20 Back demodulated BS 0
% 0.74/1.20
% 0.74/1.20 Clauses or pairs given 2607
% 0.74/1.20 Clauses generated 3435
% 0.74/1.20 Forward subsumed 2394
% 0.74/1.20 Deleted by weight 0
% 0.74/1.20 Deleted by variable count 0
% 0.74/1.20 Kept 1041
% 0.74/1.20 New demodulators 609
% 0.74/1.20 Back demodulated 405
% 0.74/1.20 Ordered paramod prunes 0
% 0.74/1.20 Basic paramod prunes 2827
% 0.74/1.20 Prime paramod prunes 80
% 0.74/1.20 Semantic prunes 0
% 0.74/1.20
% 0.74/1.20 Rewrite attmepts 34652
% 0.74/1.20 Rewrites 4862
% 0.74/1.20
% 0.74/1.20 FPA overloads 0
% 0.74/1.20 FPA underloads 0
% 0.74/1.20
% 0.74/1.20 Usable size 0
% 0.74/1.20 Sos size 645
% 0.74/1.20 Demodulators size 391
% 0.74/1.20 Passive size 0
% 0.74/1.20 Disabled size 405
% 0.74/1.20
% 0.74/1.20 Proofs found 1
% 0.74/1.20
% 0.74/1.20 ----------- times (seconds) ----------- Thu Jun 30 03:05:38 2022
% 0.74/1.20
% 0.74/1.20 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 0.74/1.20 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.74/1.20 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.20 input time 0.00
% 0.74/1.20 paramodulation time 0.01
% 0.74/1.20 demodulation time 0.01
% 0.74/1.20 orient time 0.01
% 0.74/1.20 weigh time 0.00
% 0.74/1.20 forward subsume time 0.00
% 0.74/1.20 back demod find time 0.00
% 0.74/1.20 conflict time 0.00
% 0.74/1.20 LRPO time 0.01
% 0.74/1.20 store clause time 0.00
% 0.74/1.20 disable clause time 0.00
% 0.74/1.20 prime paramod time 0.01
% 0.74/1.20 semantics time 0.00
% 0.74/1.20
% 0.74/1.20 EQP interrupted
%------------------------------------------------------------------------------