%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n012.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 04:34:26 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 2 RR)
% Number of literals : 12 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT045-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT045-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT045-1.p',unknown),
[] ).
cnf(11,plain,
equal(join(complement(A),A),n1),
file('LAT045-1.p',unknown),
[] ).
cnf(13,plain,
equal(complement(complement(A)),A),
file('LAT045-1.p',unknown),
[] ).
cnf(14,plain,
equal(meet(join(A,B),join(A,C)),join(A,meet(B,join(A,C)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
~ equal(join(a,meet(complement(a),join(a,b))),join(a,b)),
file('LAT045-1.p',unknown),
[] ).
cnf(16,plain,
equal(join(A,complement(A)),n1),
inference(para,[status(thm),theory(equality)],[13,11]),
[iquote('para(13,11)')] ).
cnf(26,plain,
equal(meet(A,n1),A),
inference(para,[status(thm),theory(equality)],[16,3]),
[iquote('para(16,3)')] ).
cnf(46,plain,
equal(meet(n1,A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,5]),1]),
[iquote('para(26,5),flip(1)')] ).
cnf(71,plain,
equal(join(A,meet(complement(A),join(A,B))),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,14]),46]),1]),
[iquote('para(16,14),demod([46]),flip(1)')] ).
cnf(72,plain,
$false,
inference(conflict,[status(thm)],[71,15]),
[iquote('conflict(71,15)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 21:10:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 ----- EQP 0.9e, May 2009 -----
% 0.43/1.07 The job began on n012.cluster.edu, Wed Jun 29 21:10:34 2022
% 0.43/1.07 The command was "./eqp09e".
% 0.43/1.07
% 0.43/1.07 set(prolog_style_variables).
% 0.43/1.07 set(lrpo).
% 0.43/1.07 set(basic_paramod).
% 0.43/1.07 set(functional_subsume).
% 0.43/1.07 set(ordered_paramod).
% 0.43/1.07 set(prime_paramod).
% 0.43/1.07 set(para_pairs).
% 0.43/1.07 assign(pick_given_ratio,4).
% 0.43/1.07 clear(print_kept).
% 0.43/1.07 clear(print_new_demod).
% 0.43/1.07 clear(print_back_demod).
% 0.43/1.07 clear(print_given).
% 0.43/1.07 assign(max_mem,64000).
% 0.43/1.07 end_of_commands.
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 0 (wt=-1) [] meet(A,A) = A.
% 0.43/1.07 0 (wt=-1) [] join(A,A) = A.
% 0.43/1.07 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.43/1.07 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.43/1.07 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.43/1.07 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.43/1.07 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.43/1.07 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.43/1.07 0 (wt=-1) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 0.43/1.07 0 (wt=-1) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 0.43/1.07 0 (wt=-1) [] join(complement(A),A) = n1.
% 0.43/1.07 0 (wt=-1) [] meet(complement(A),A) = n0.
% 0.43/1.07 0 (wt=-1) [] complement(complement(A)) = A.
% 0.43/1.07 0 (wt=-1) [] join(A,meet(B,join(A,C))) = meet(join(A,B),join(A,C)).
% 0.43/1.07 0 (wt=-1) [] -(join(a,meet(complement(a),join(a,b))) = join(a,b)).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Starting to process input.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.43/1.07 1 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.43/1.07 2 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.43/1.07 3 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.43/1.07 4 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.43/1.07 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 0.43/1.07
% 0.43/1.07 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 0.43/1.07 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 0.43/1.07
% 0.43/1.07 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.43/1.07 7 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.43/1.07 8 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 0.43/1.07 9 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 0.43/1.07 10 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 11 (wt=6) [] join(complement(A),A) = n1.
% 0.43/1.07 11 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 12 (wt=6) [] meet(complement(A),A) = n0.
% 0.43/1.07 12 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 13 (wt=5) [] complement(complement(A)) = A.
% 0.43/1.07 13 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 14 (wt=15) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,join(A,C))).
% 0.43/1.07 14 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 15 (wt=12) [] -(join(a,meet(complement(a),join(a,b))) = join(a,b)).
% 0.43/1.07 ---------------- PROOF FOUND ----------------
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 After processing input:
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 1 (wt=5) [] meet(A,A) = A.
% 0.43/1.07 2 (wt=5) [] join(A,A) = A.
% 0.43/1.07 13 (wt=5) [] complement(complement(A)) = A.
% 0.43/1.07 11 (wt=6) [] join(complement(A),A) = n1.
% 0.43/1.07 12 (wt=6) [] meet(complement(A),A) = n0.
% 0.43/1.07 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.43/1.07 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.43/1.07 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.43/1.07 6 (wt=7) [] join(A,B) = join(B,A).
% 0.43/1.07 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 0.43/1.07 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 0.43/1.07 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.43/1.07 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.43/1.07 15 (wt=12) [] -(join(a,meet(complement(a),join(a,b))) = join(a,b)).
% 0.43/1.07 14 (wt=15) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,join(A,C))).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 1 (wt=5) [] meet(A,A) = A.
% 0.43/1.07 2 (wt=5) [] join(A,A) = A.
% 0.43/1.07 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.43/1.07 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.43/1.07 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.43/1.07 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.43/1.07 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 0.43/1.07 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 0.43/1.07 11 (wt=6) [] join(complement(A),A) = n1.
% 0.43/1.07 12 (wt=6) [] meet(complement(A),A) = n0.
% 0.43/1.07 13 (wt=5) [] complement(complement(A)) = A.
% 0.43/1.07 14 (wt=15) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,join(A,C))).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 UNIT CONFLICT from 71 and 15 at 0.00 seconds.
% 0.43/1.07
% 0.43/1.07 ---------------- PROOF ----------------
% 0.43/1.07 % SZS output start Refutation
% See solution above
% 0.43/1.07 ------------ end of proof -------------
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 ------------- memory usage ------------
% 0.43/1.07 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.07 type (bytes each) gets frees in use avail bytes
% 0.43/1.07 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.43/1.07 term ( 16) 3820 3142 678 18 13.3 K
% 0.43/1.07 gen_ptr ( 8) 3063 861 2202 11 17.3 K
% 0.43/1.07 context ( 808) 3504 3502 2 4 4.7 K
% 0.43/1.07 trail ( 12) 169 169 0 4 0.0 K
% 0.43/1.07 bt_node ( 68) 1543 1540 3 4 0.5 K
% 0.43/1.07 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_free_vars_pos (4020)
% 0.43/1.07 0 0 0 0 0.0 K
% 0.43/1.07 discrim ( 12) 594 26 568 0 6.7 K
% 0.43/1.07 flat ( 40) 3917 3917 0 15 0.6 K
% 0.43/1.07 discrim_pos ( 12) 173 173 0 1 0.0 K
% 0.43/1.07 fpa_head ( 12) 363 0 363 0 4.3 K
% 0.43/1.07 fpa_tree ( 28) 162 162 0 17 0.5 K
% 0.43/1.07 fpa_pos ( 36) 129 129 0 1 0.0 K
% 0.43/1.07 literal ( 12) 291 220 71 1 0.8 K
% 0.43/1.07 clause ( 24) 291 220 71 1 1.7 K
% 0.43/1.07 list ( 12) 117 61 56 3 0.7 K
% 0.43/1.07 list_pos ( 20) 295 45 250 0 4.9 K
% 0.43/1.07 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.07
% 0.43/1.07 -------------- statistics -------------
% 0.43/1.07 Clauses input 15
% 0.43/1.07 Usable input 0
% 0.43/1.07 Sos input 15
% 0.43/1.07 Demodulators input 0
% 0.43/1.07 Passive input 0
% 0.43/1.07
% 0.43/1.07 Processed BS (before search) 17
% 0.43/1.07 Forward subsumed BS 2
% 0.43/1.07 Kept BS 15
% 0.43/1.07 New demodulators BS 12
% 0.43/1.07 Back demodulated BS 0
% 0.43/1.07
% 0.43/1.07 Clauses or pairs given 470
% 0.43/1.07 Clauses generated 183
% 0.43/1.07 Forward subsumed 127
% 0.43/1.07 Deleted by weight 0
% 0.43/1.07 Deleted by variable count 0
% 0.43/1.07 Kept 56
% 0.43/1.07 New demodulators 46
% 0.43/1.07 Back demodulated 6
% 0.43/1.07 Ordered paramod prunes 0
% 0.43/1.07 Basic paramod prunes 552
% 0.43/1.07 Prime paramod prunes 17
% 0.43/1.07 Semantic prunes 0
% 0.43/1.07
% 0.43/1.07 Rewrite attmepts 1080
% 0.43/1.07 Rewrites 147
% 0.43/1.07
% 0.43/1.07 FPA overloads 0
% 0.43/1.07 FPA underloads 0
% 0.43/1.07
% 0.43/1.07 Usable size 0
% 0.43/1.07 Sos size 64
% 0.43/1.07 Demodulators size 52
% 0.43/1.07 Passive size 0
% 0.43/1.07 Disabled size 6
% 0.43/1.07
% 0.43/1.07 Proofs found 1
% 0.43/1.07
% 0.43/1.07 ----------- times (seconds) ----------- Wed Jun 29 21:10:34 2022
% 0.43/1.07
% 0.43/1.07 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.07 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.43/1.07 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.07 input time 0.00
% 0.43/1.07 paramodulation time 0.00
% 0.43/1.07 demodulation time 0.00
% 0.43/1.07 orient time 0.00
% 0.43/1.07 weigh time 0.00
% 0.43/1.07 forward subsume time 0.00
% 0.43/1.07 back demod find time 0.00
% 0.43/1.07 conflict time 0.00
% 0.43/1.07 LRPO time 0.00
% 0.43/1.07 store clause time 0.00
% 0.43/1.07 disable clause time 0.00
% 0.43/1.07 prime paramod time 0.00
% 0.43/1.07 semantics time 0.00
% 0.43/1.07
% 0.43/1.07 EQP interrupted
%------------------------------------------------------------------------------