%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n011.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 04:35:02 EDT 2022
% Result : Unsatisfiable 0.95s 1.37s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 5 RR)
% Number of literals : 23 ( 0 equ; 4 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 : 45 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT171-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT171-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT171-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT171-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT171-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT171-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT171-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(meet(A,B),meet(join(A,B),C))),join(meet(A,B),meet(A,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),meet(a,join(b,meet(a,c)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
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(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(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(30,plain,
equal(join(A,join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
[iquote('para(4,8),flip(1)')] ).
cnf(49,plain,
~ equal(meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,b),c))),meet(a,join(b,meet(a,c)))),
inference(para,[status(thm),theory(equality)],[5,10]),
[iquote('para(5,10)')] ).
cnf(143,plain,
equal(meet(A,meet(B,C)),meet(C,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,24]),7,22]),
[iquote('para(22,24),demod([7,22])')] ).
cnf(155,plain,
equal(meet(A,meet(B,join(meet(B,A),C))),meet(B,A)),
inference(para,[status(thm),theory(equality)],[143,11]),
[iquote('para(143,11)')] ).
cnf(210,plain,
equal(meet(A,join(meet(A,join(meet(A,B),C)),meet(join(A,C),D))),join(meet(A,join(meet(A,B),C)),meet(A,D))),
inference(para,[status(thm),theory(equality)],[30,9]),
[iquote('para(30,9)')] ).
cnf(331,plain,
equal(join(meet(A,join(meet(A,B),C)),meet(A,B)),meet(A,join(meet(A,B),C))),
inference(para,[status(thm),theory(equality)],[155,12]),
[iquote('para(155,12)')] ).
cnf(832,plain,
~ equal(meet(a,join(meet(a,c),b)),meet(a,join(b,meet(a,c)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,49]),210,331]),
[iquote('para(6,49),demod([210,331])')] ).
cnf(1481,plain,
~ equal(meet(a,join(b,meet(a,c))),meet(a,join(b,meet(a,c)))),
inference(para,[status(thm),theory(equality)],[6,832]),
[iquote('para(6,832)')] ).
cnf(1482,plain,
$false,
inference(conflict,[status(thm)],[1481]),
[iquote('xx_conflict(1481)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT171-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n011.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 06:38:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.95/1.37 ----- EQP 0.9e, May 2009 -----
% 0.95/1.37 The job began on n011.cluster.edu, Wed Jun 29 06:38:47 2022
% 0.95/1.37 The command was "./eqp09e".
% 0.95/1.37
% 0.95/1.37 set(prolog_style_variables).
% 0.95/1.37 set(lrpo).
% 0.95/1.37 set(basic_paramod).
% 0.95/1.37 set(functional_subsume).
% 0.95/1.37 set(ordered_paramod).
% 0.95/1.37 set(prime_paramod).
% 0.95/1.37 set(para_pairs).
% 0.95/1.37 assign(pick_given_ratio,4).
% 0.95/1.37 clear(print_kept).
% 0.95/1.37 clear(print_new_demod).
% 0.95/1.37 clear(print_back_demod).
% 0.95/1.37 clear(print_given).
% 0.95/1.37 assign(max_mem,64000).
% 0.95/1.37 end_of_commands.
% 0.95/1.37
% 0.95/1.37 Usable:
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Sos:
% 0.95/1.37 0 (wt=-1) [] meet(A,A) = A.
% 0.95/1.37 0 (wt=-1) [] join(A,A) = A.
% 0.95/1.37 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.95/1.37 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.95/1.37 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.95/1.37 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.95/1.37 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.95/1.37 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.95/1.37 0 (wt=-1) [] join(meet(A,B),meet(A,C)) = meet(A,join(meet(A,B),meet(join(A,B),C))).
% 0.95/1.37 0 (wt=-1) [] -(meet(a,join(b,meet(a,c))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))).
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Demodulators:
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Passive:
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Starting to process input.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.95/1.37 1 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.95/1.37 2 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.95/1.37 3 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.95/1.37 4 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.95/1.37 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 0.95/1.37
% 0.95/1.37 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 0.95/1.37 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 0.95/1.37
% 0.95/1.37 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.95/1.37 7 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.95/1.37 8 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 9 (wt=19) [flip(1)] meet(A,join(meet(A,B),meet(join(A,B),C))) = join(meet(A,B),meet(A,C)).
% 0.95/1.37 9 is a new demodulator.
% 0.95/1.37
% 0.95/1.37 ** KEPT: 10 (wt=23) [flip(1)] -(meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c)))).
% 0.95/1.37 ---------------- PROOF FOUND ----------------
% 0.95/1.37 % SZS status Unsatisfiable
% 0.95/1.37
% 0.95/1.37
% 0.95/1.37 After processing input:
% 0.95/1.37
% 0.95/1.37 Usable:
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Sos:
% 0.95/1.37 1 (wt=5) [] meet(A,A) = A.
% 0.95/1.37 2 (wt=5) [] join(A,A) = A.
% 0.95/1.37 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.95/1.37 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.95/1.37 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.95/1.37 6 (wt=7) [] join(A,B) = join(B,A).
% 0.95/1.37 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.95/1.37 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.95/1.37 9 (wt=19) [flip(1)] meet(A,join(meet(A,B),meet(join(A,B),C))) = join(meet(A,B),meet(A,C)).
% 0.95/1.37 10 (wt=23) [flip(1)] -(meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c)))).
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Demodulators:
% 0.95/1.37 1 (wt=5) [] meet(A,A) = A.
% 0.95/1.37 2 (wt=5) [] join(A,A) = A.
% 0.95/1.37 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.95/1.37 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.95/1.37 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.95/1.37 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.95/1.37 9 (wt=19) [flip(1)] meet(A,join(meet(A,B),meet(join(A,B),C))) = join(meet(A,B),meet(A,C)).
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 Passive:
% 0.95/1.37 end_of_list.
% 0.95/1.37
% 0.95/1.37 UNIT CONFLICT from 1481 and x=x at 0.13 seconds.
% 0.95/1.37
% 0.95/1.37 ---------------- PROOF ----------------
% 0.95/1.37 % SZS output start Refutation
% See solution above
% 0.95/1.37 ------------ end of proof -------------
% 0.95/1.37
% 0.95/1.37
% 0.95/1.37 ------------- memory usage ------------
% 0.95/1.37 Memory dynamically allocated (tp_alloc): 2441.
% 0.95/1.37 type (bytes each) gets frees in use avail bytes
% 0.95/1.37 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.95/1.37 term ( 16) 258733 225348 33385 28 646.8 K
% 0.95/1.37 gen_ptr ( 8) 186667 43040 143627 22 1122.3 K
% 0.95/1.37 context ( 808) 156494 156492 2 6 6.3 K
% 0.95/1.37 trail ( 12) 39120 39120 0 6 0.1 K
% 0.95/1.37 bt_node ( 68) 59976 59973 3 16 1.3 K
% 0.95/1.37 ac_position (285432) 0 0 0 0 0.0 K
% 0.95/1.37 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.95/1.37 ac_match_free_vars_pos (4020)
% 0.95/1.37 0 0 0 0 0.0 K
% 0.95/1.37 discrim ( 12) 25269 1294 23975 0 281.0 K
% 0.95/1.37 flat ( 40) 493788 493788 0 43 1.7 K
% 0.95/1.37 discrim_pos ( 12) 13869 13869 0 1 0.0 K
% 0.95/1.37 fpa_head ( 12) 4268 0 4268 0 50.0 K
% 0.95/1.37 fpa_tree ( 28) 5576 5576 0 41 1.1 K
% 0.95/1.37 fpa_pos ( 36) 2730 2730 0 1 0.0 K
% 0.95/1.37 literal ( 12) 10723 9242 1481 0 17.4 K
% 0.95/1.37 clause ( 24) 10723 9242 1481 0 34.7 K
% 0.95/1.37 list ( 12) 1309 1253 56 3 0.7 K
% 0.95/1.37 list_pos ( 20) 5894 436 5458 0 106.6 K
% 0.95/1.37 pair_index ( 40) 2 0 2 0 0.1 K
% 0.95/1.37
% 0.95/1.37 -------------- statistics -------------
% 0.95/1.37 Clauses input 10
% 0.95/1.37 Usable input 0
% 0.95/1.37 Sos input 10
% 0.95/1.37 Demodulators input 0
% 0.95/1.37 Passive input 0
% 0.95/1.37
% 0.95/1.37 Processed BS (before search) 12
% 0.95/1.37 Forward subsumed BS 2
% 0.95/1.37 Kept BS 10
% 0.95/1.37 New demodulators BS 7
% 0.95/1.37 Back demodulated BS 0
% 0.95/1.37
% 0.95/1.37 Clauses or pairs given 8093
% 0.95/1.37 Clauses generated 7503
% 0.95/1.37 Forward subsumed 6032
% 0.95/1.37 Deleted by weight 0
% 0.95/1.37 Deleted by variable count 0
% 0.95/1.37 Kept 1471
% 0.95/1.37 New demodulators 1243
% 0.95/1.37 Back demodulated 97
% 0.95/1.37 Ordered paramod prunes 0
% 0.95/1.37 Basic paramod prunes 18344
% 0.95/1.37 Prime paramod prunes 433
% 0.95/1.37 Semantic prunes 0
% 0.95/1.37
% 0.95/1.37 Rewrite attmepts 74214
% 0.95/1.37 Rewrites 12271
% 0.95/1.37
% 0.95/1.37 FPA overloads 0
% 0.95/1.37 FPA underloads 0
% 0.95/1.37
% 0.95/1.37 Usable size 0
% 0.95/1.37 Sos size 1383
% 0.95/1.37 Demodulators size 1212
% 0.95/1.37 Passive size 0
% 0.95/1.37 Disabled size 97
% 0.95/1.37
% 0.95/1.37 Proofs found 1
% 0.95/1.37
% 0.95/1.37 ----------- times (seconds) ----------- Wed Jun 29 06:38:48 2022
% 0.95/1.37
% 0.95/1.37 user CPU time 0.13 (0 hr, 0 min, 0 sec)
% 0.95/1.37 system CPU time 0.16 (0 hr, 0 min, 0 sec)
% 0.95/1.37 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.95/1.37 input time 0.00
% 0.95/1.37 paramodulation time 0.02
% 0.95/1.37 demodulation time 0.02
% 0.95/1.37 orient time 0.01
% 0.95/1.37 weigh time 0.01
% 0.95/1.37 forward subsume time 0.01
% 0.95/1.37 back demod find time 0.01
% 0.95/1.37 conflict time 0.00
% 0.95/1.37 LRPO time 0.00
% 0.95/1.37 store clause time 0.01
% 0.95/1.37 disable clause time 0.00
% 0.95/1.37 prime paramod time 0.01
% 0.95/1.37 semantics time 0.00
% 0.95/1.37
% 0.95/1.37 EQP interrupted
%------------------------------------------------------------------------------