TSTP Solution File: LAT032-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 04:34:22 EDT 2022
% Result : Unsatisfiable 0.80s 1.19s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 3 RR)
% Number of literals : 28 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 62 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT032-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT032-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT032-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT032-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT032-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT032-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT032-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT032-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(join(A,B),join(A,C)),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(xx,join(yy,zz)),join(meet(xx,yy),meet(xx,zz))),
file('LAT032-1.p',unknown),
[] ).
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(14,plain,
equal(join(meet(A,B),A),A),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(20,plain,
equal(join(meet(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,6]),1]),
[iquote('para(12,6),flip(1)')] ).
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(27,plain,
equal(join(A,join(A,B)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,8]),1]),
[iquote('para(2,8),flip(1)')] ).
cnf(36,plain,
equal(meet(join(A,B),join(B,C)),join(B,meet(A,C))),
inference(para,[status(thm),theory(equality)],[6,9]),
[iquote('para(6,9)')] ).
cnf(37,plain,
equal(meet(join(A,B),join(C,A)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[6,9]),
[iquote('para(6,9)')] ).
cnf(39,plain,
equal(meet(join(A,meet(B,C)),D),meet(join(A,B),meet(join(A,C),D))),
inference(para,[status(thm),theory(equality)],[9,7]),
[iquote('para(9,7)')] ).
cnf(41,plain,
~ equal(meet(xx,join(zz,yy)),join(meet(xx,yy),meet(xx,zz))),
inference(para,[status(thm),theory(equality)],[6,10]),
[iquote('para(6,10)')] ).
cnf(49,plain,
equal(meet(A,meet(B,join(C,meet(A,B)))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,7]),1]),
[iquote('para(13,7),flip(1)')] ).
cnf(55,plain,
equal(meet(A,join(meet(A,B),C)),join(meet(A,B),meet(A,C))),
inference(para,[status(thm),theory(equality)],[14,9]),
[iquote('para(14,9)')] ).
cnf(131,plain,
equal(join(A,meet(B,join(A,C))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,9]),9]),1]),
[iquote('para(27,9),demod([9]),flip(1)')] ).
cnf(200,plain,
equal(meet(join(A,B),C),join(meet(B,C),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,36]),39,23]),
[iquote('para(20,36),demod([39,23])')] ).
cnf(221,plain,
equal(join(meet(A,join(B,C)),C),join(C,meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[37]),200,13]),
[iquote('back_demod(37),demod([200,13])')] ).
cnf(241,plain,
equal(meet(A,join(B,meet(C,A))),join(meet(C,A),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[49,12]),221]),1]),
[iquote('para(49,12),demod([221]),flip(1)')] ).
cnf(250,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)],[131,13]),7,200,241,3,8,20,55]),1]),
[iquote('para(131,13),demod([7,200,241,3,8,20,55]),flip(1)')] ).
cnf(251,plain,
$false,
inference(conflict,[status(thm)],[250,41]),
[iquote('conflict(250,41)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT032-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n023.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 23:55:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/1.19 ----- EQP 0.9e, May 2009 -----
% 0.80/1.19 The job began on n023.cluster.edu, Wed Jun 29 23:56:00 2022
% 0.80/1.19 The command was "./eqp09e".
% 0.80/1.19
% 0.80/1.19 set(prolog_style_variables).
% 0.80/1.19 set(lrpo).
% 0.80/1.19 set(basic_paramod).
% 0.80/1.19 set(functional_subsume).
% 0.80/1.19 set(ordered_paramod).
% 0.80/1.19 set(prime_paramod).
% 0.80/1.19 set(para_pairs).
% 0.80/1.19 assign(pick_given_ratio,4).
% 0.80/1.19 clear(print_kept).
% 0.80/1.19 clear(print_new_demod).
% 0.80/1.19 clear(print_back_demod).
% 0.80/1.19 clear(print_given).
% 0.80/1.19 assign(max_mem,64000).
% 0.80/1.19 end_of_commands.
% 0.80/1.19
% 0.80/1.19 Usable:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Sos:
% 0.80/1.19 0 (wt=-1) [] meet(A,A) = A.
% 0.80/1.19 0 (wt=-1) [] join(A,A) = A.
% 0.80/1.19 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.80/1.19 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.80/1.19 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.80/1.19 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.80/1.19 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.80/1.19 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.80/1.19 0 (wt=-1) [] join(A,meet(B,C)) = meet(join(A,B),join(A,C)).
% 0.80/1.19 0 (wt=-1) [] -(meet(xx,join(yy,zz)) = join(meet(xx,yy),meet(xx,zz))).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Demodulators:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Passive:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Starting to process input.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.80/1.19 1 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.80/1.19 2 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.80/1.19 3 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.80/1.19 4 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.80/1.19 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 0.80/1.19 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.80/1.19 7 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.80/1.19 8 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 9 (wt=13) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,C)).
% 0.80/1.19 9 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 10 (wt=13) [] -(meet(xx,join(yy,zz)) = join(meet(xx,yy),meet(xx,zz))).
% 0.80/1.19 ---------------- PROOF FOUND ----------------
% 0.80/1.19 % SZS status Unsatisfiable
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 After processing input:
% 0.80/1.19
% 0.80/1.19 Usable:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Sos:
% 0.80/1.19 1 (wt=5) [] meet(A,A) = A.
% 0.80/1.19 2 (wt=5) [] join(A,A) = A.
% 0.80/1.19 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.80/1.19 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.80/1.19 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.80/1.19 6 (wt=7) [] join(A,B) = join(B,A).
% 0.80/1.19 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.80/1.19 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.80/1.19 9 (wt=13) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,C)).
% 0.80/1.19 10 (wt=13) [] -(meet(xx,join(yy,zz)) = join(meet(xx,yy),meet(xx,zz))).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Demodulators:
% 0.80/1.19 1 (wt=5) [] meet(A,A) = A.
% 0.80/1.19 2 (wt=5) [] join(A,A) = A.
% 0.80/1.19 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.80/1.19 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.80/1.19 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.80/1.19 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.80/1.19 9 (wt=13) [flip(1)] meet(join(A,B),join(A,C)) = join(A,meet(B,C)).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Passive:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 UNIT CONFLICT from 250 and 41 at 0.02 seconds.
% 0.80/1.19
% 0.80/1.19 ---------------- PROOF ----------------
% 0.80/1.19 % SZS output start Refutation
% See solution above
% 0.80/1.19 ------------ end of proof -------------
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 ------------- memory usage ------------
% 0.80/1.19 Memory dynamically allocated (tp_alloc): 488.
% 0.80/1.19 type (bytes each) gets frees in use avail bytes
% 0.80/1.19 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.80/1.19 term ( 16) 36628 33176 3452 20 66.8 K
% 0.80/1.19 gen_ptr ( 8) 21726 9782 11944 27 93.5 K
% 0.80/1.19 context ( 808) 21463 21461 2 5 5.5 K
% 0.80/1.19 trail ( 12) 1838 1838 0 4 0.0 K
% 0.80/1.19 bt_node ( 68) 8754 8751 3 6 0.6 K
% 0.80/1.19 ac_position (285432) 0 0 0 0 0.0 K
% 0.80/1.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.80/1.19 ac_match_free_vars_pos (4020)
% 0.80/1.19 0 0 0 0 0.0 K
% 0.80/1.19 discrim ( 12) 2264 830 1434 97 17.9 K
% 0.80/1.19 flat ( 40) 54136 54136 0 19 0.7 K
% 0.80/1.19 discrim_pos ( 12) 2455 2455 0 1 0.0 K
% 0.80/1.19 fpa_head ( 12) 589 0 589 0 6.9 K
% 0.80/1.19 fpa_tree ( 28) 407 407 0 17 0.5 K
% 0.80/1.19 fpa_pos ( 36) 441 441 0 1 0.0 K
% 0.80/1.19 literal ( 12) 2100 1850 250 1 2.9 K
% 0.80/1.19 clause ( 24) 2100 1850 250 1 5.9 K
% 0.80/1.19 list ( 12) 250 194 56 3 0.7 K
% 0.80/1.19 list_pos ( 20) 1114 411 703 43 14.6 K
% 0.80/1.19 pair_index ( 40) 2 0 2 0 0.1 K
% 0.80/1.19
% 0.80/1.19 -------------- statistics -------------
% 0.80/1.19 Clauses input 10
% 0.80/1.19 Usable input 0
% 0.80/1.19 Sos input 10
% 0.80/1.19 Demodulators input 0
% 0.80/1.19 Passive input 0
% 0.80/1.19
% 0.80/1.19 Processed BS (before search) 12
% 0.80/1.19 Forward subsumed BS 2
% 0.80/1.19 Kept BS 10
% 0.80/1.19 New demodulators BS 7
% 0.80/1.19 Back demodulated BS 0
% 0.80/1.19
% 0.80/1.19 Clauses or pairs given 1494
% 0.80/1.19 Clauses generated 1459
% 0.80/1.19 Forward subsumed 1219
% 0.80/1.19 Deleted by weight 0
% 0.80/1.19 Deleted by variable count 0
% 0.80/1.19 Kept 240
% 0.80/1.19 New demodulators 184
% 0.80/1.19 Back demodulated 83
% 0.80/1.19 Ordered paramod prunes 0
% 0.80/1.19 Basic paramod prunes 1760
% 0.80/1.19 Prime paramod prunes 45
% 0.80/1.19 Semantic prunes 0
% 0.80/1.19
% 0.80/1.19 Rewrite attmepts 10064
% 0.80/1.19 Rewrites 2173
% 0.80/1.19
% 0.80/1.19 FPA overloads 0
% 0.80/1.19 FPA underloads 0
% 0.80/1.19
% 0.80/1.19 Usable size 0
% 0.80/1.19 Sos size 166
% 0.80/1.19 Demodulators size 122
% 0.80/1.19 Passive size 0
% 0.80/1.19 Disabled size 83
% 0.80/1.19
% 0.80/1.19 Proofs found 1
% 0.80/1.19
% 0.80/1.19 ----------- times (seconds) ----------- Wed Jun 29 23:56:00 2022
% 0.80/1.19
% 0.80/1.19 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.80/1.19 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.80/1.19 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.80/1.19 input time 0.00
% 0.80/1.19 paramodulation time 0.01
% 0.80/1.19 demodulation time 0.01
% 0.80/1.19 orient time 0.00
% 0.80/1.19 weigh time 0.00
% 0.80/1.19 forward subsume time 0.00
% 0.80/1.19 back demod find time 0.00
% 0.80/1.19 conflict time 0.00
% 0.80/1.19 LRPO time 0.00
% 0.80/1.19 store clause time 0.00
% 0.80/1.19 disable clause time 0.00
% 0.80/1.19 prime paramod time 0.00
% 0.80/1.19 semantics time 0.00
% 0.80/1.19
% 0.80/1.19 EQP interrupted
%------------------------------------------------------------------------------