TSTP Solution File: LAT013-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 18.95s 19.34s
% Output : Refutation 18.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 3 RR)
% Number of literals : 56 ( 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 : 137 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,meet(B,meet(A,C))),A),
file('LAT013-1.p',unknown),
[] ).
cnf(2,plain,
equal(meet(A,join(B,join(A,C))),A),
file('LAT013-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(join(meet(A,B),meet(B,C)),B),B),
file('LAT013-1.p',unknown),
[] ).
cnf(4,plain,
equal(meet(meet(join(A,B),join(B,C)),B),B),
file('LAT013-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(meet(meet(a,b),c),meet(a,meet(b,c))),
file('LAT013-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(7,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[1,2]),
[iquote('para(1,2)')] ).
cnf(8,plain,
equal(join(join(A,B),B),join(A,B)),
inference(para,[status(thm),theory(equality)],[7,6]),
[iquote('para(7,6)')] ).
cnf(9,plain,
equal(meet(meet(A,B),B),meet(A,B)),
inference(para,[status(thm),theory(equality)],[6,7]),
[iquote('para(6,7)')] ).
cnf(11,plain,
equal(join(meet(A,B),B),B),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(12,plain,
equal(meet(A,A),A),
inference(para,[status(thm),theory(equality)],[11,7]),
[iquote('para(11,7)')] ).
cnf(13,plain,
equal(join(A,A),A),
inference(para,[status(thm),theory(equality)],[12,6]),
[iquote('para(12,6)')] ).
cnf(15,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(18,plain,
equal(join(A,meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(20,plain,
equal(meet(join(A,B),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),9]),
[iquote('para(1,4),demod([9])')] ).
cnf(21,plain,
equal(join(join(A,B),A),join(A,B)),
inference(para,[status(thm),theory(equality)],[15,6]),
[iquote('para(15,6)')] ).
cnf(24,plain,
equal(meet(meet(A,B),A),meet(A,B)),
inference(para,[status(thm),theory(equality)],[18,7]),
[iquote('para(18,7)')] ).
cnf(25,plain,
equal(meet(A,meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[6,20]),
[iquote('para(6,20)')] ).
cnf(28,plain,
equal(meet(meet(A,join(meet(B,A),C)),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(30,plain,
equal(join(join(A,meet(join(B,A),C)),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[7,3]),
[iquote('para(7,3)')] ).
cnf(31,plain,
equal(join(join(A,B),meet(C,B)),join(A,B)),
inference(para,[status(thm),theory(equality)],[20,1]),
[iquote('para(20,1)')] ).
cnf(33,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[21,20]),
[iquote('para(21,20)')] ).
cnf(42,plain,
equal(join(A,meet(B,meet(C,A))),A),
inference(para,[status(thm),theory(equality)],[25,1]),
[iquote('para(25,1)')] ).
cnf(83,plain,
equal(join(join(meet(A,B),meet(A,C)),A),A),
inference(para,[status(thm),theory(equality)],[24,3]),
[iquote('para(24,3)')] ).
cnf(84,plain,
equal(join(meet(A,B),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,83]),8]),
[iquote('para(12,83),demod([8])')] ).
cnf(105,plain,
equal(meet(meet(join(A,meet(B,C)),B),meet(B,C)),meet(B,C)),
inference(para,[status(thm),theory(equality)],[84,4]),
[iquote('para(84,4)')] ).
cnf(235,plain,
equal(join(join(A,B),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[33,30]),
[iquote('para(33,30)')] ).
cnf(263,plain,
equal(meet(join(A,B),join(C,join(B,A))),join(A,B)),
inference(para,[status(thm),theory(equality)],[235,2]),
[iquote('para(235,2)')] ).
cnf(264,plain,
equal(meet(join(A,B),join(B,A)),join(A,B)),
inference(para,[status(thm),theory(equality)],[13,263]),
[iquote('para(13,263)')] ).
cnf(265,plain,
equal(join(A,B),join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[264,6]),235]),
[iquote('para(264,6),demod([235])')] ).
cnf(1002,plain,
equal(meet(meet(A,B),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[84,28]),
[iquote('para(84,28)')] ).
cnf(1004,plain,
equal(join(meet(A,B),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[1002,84]),
[iquote('para(1002,84)')] ).
cnf(1005,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1004,265]),1004]),
[iquote('para(1004,265),demod([1004])')] ).
cnf(1007,plain,
~ equal(meet(c,meet(a,b)),meet(a,meet(b,c))),
inference(para,[status(thm),theory(equality)],[1005,5]),
[iquote('para(1005,5)')] ).
cnf(1734,plain,
equal(meet(meet(join(A,B),C),meet(C,B)),meet(C,B)),
inference(para,[status(thm),theory(equality)],[31,105]),
[iquote('para(31,105)')] ).
cnf(1736,plain,
equal(join(meet(A,B),meet(join(C,B),A)),meet(join(C,B),A)),
inference(para,[status(thm),theory(equality)],[1734,84]),
[iquote('para(1734,84)')] ).
cnf(1741,plain,
equal(meet(meet(A,B),meet(B,meet(C,A))),meet(B,meet(C,A))),
inference(para,[status(thm),theory(equality)],[42,105]),
[iquote('para(42,105)')] ).
cnf(1759,plain,
equal(join(meet(A,meet(B,C)),meet(C,A)),meet(C,A)),
inference(para,[status(thm),theory(equality)],[1741,84]),
[iquote('para(1741,84)')] ).
cnf(1761,plain,
equal(join(meet(A,B),meet(B,meet(C,A))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1759,265]),1]),
[iquote('para(1759,265),flip(1)')] ).
cnf(1762,plain,
equal(meet(meet(A,meet(B,C)),meet(C,A)),meet(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[1761,7]),
[iquote('para(1761,7)')] ).
cnf(1767,plain,
equal(meet(meet(A,B),meet(A,meet(C,B))),meet(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[1005,1741]),
[iquote('para(1005,1741)')] ).
cnf(1792,plain,
equal(join(meet(A,meet(B,C)),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[1767,84]),
[iquote('para(1767,84)')] ).
cnf(1793,plain,
equal(join(meet(A,B),meet(A,meet(C,B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1792,265]),1]),
[iquote('para(1792,265),flip(1)')] ).
cnf(1794,plain,
equal(meet(meet(A,meet(B,C)),meet(A,C)),meet(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[1793,7]),
[iquote('para(1793,7)')] ).
cnf(8986,plain,
equal(meet(meet(join(A,meet(B,C)),meet(join(D,C),B)),meet(B,C)),meet(B,C)),
inference(para,[status(thm),theory(equality)],[1736,4]),
[iquote('para(1736,4)')] ).
cnf(32486,plain,
equal(meet(A,meet(join(B,A),C)),meet(C,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,8986]),1762]),
[iquote('para(6,8986),demod([1762])')] ).
cnf(32487,plain,
equal(meet(A,B),meet(B,meet(join(C,B),A))),
inference(flip,[status(thm),theory(equality)],[32486]),
[iquote('flip(32486)')] ).
cnf(32490,plain,
equal(meet(meet(A,B),meet(A,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[18,32486]),
[iquote('para(18,32486)')] ).
cnf(32509,plain,
equal(meet(meet(A,B),meet(C,A)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[1005,32490]),
[iquote('para(1005,32490)')] ).
cnf(32510,plain,
equal(meet(A,meet(B,C)),meet(meet(B,C),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[32509]),
[iquote('flip(32509)')] ).
cnf(32579,plain,
equal(meet(A,meet(join(B,A),C)),meet(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[32487,1002]),1794]),
[iquote('para(32487,1002),demod([1794])')] ).
cnf(32580,plain,
equal(meet(meet(A,B),meet(B,C)),meet(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[6,32579]),
[iquote('para(6,32579)')] ).
cnf(32606,plain,
equal(meet(meet(A,B),meet(C,A)),meet(B,meet(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1741]),32580]),
[iquote('back_demod(1741),demod([32580])')] ).
cnf(32607,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[32510]),32606]),
[iquote('back_demod(32510),demod([32606])')] ).
cnf(32608,plain,
equal(meet(A,meet(B,C)),meet(B,meet(C,A))),
inference(flip,[status(thm),theory(equality)],[32607]),
[iquote('flip(32607)')] ).
cnf(32609,plain,
$false,
inference(conflict,[status(thm)],[32608,1007]),
[iquote('conflict(32608,1007)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT013-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n026.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 : Wed Jun 29 01:47:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.95/19.34 ----- EQP 0.9e, May 2009 -----
% 18.95/19.34 The job began on n026.cluster.edu, Wed Jun 29 01:47:03 2022
% 18.95/19.34 The command was "./eqp09e".
% 18.95/19.34
% 18.95/19.34 set(prolog_style_variables).
% 18.95/19.34 set(lrpo).
% 18.95/19.34 set(basic_paramod).
% 18.95/19.34 set(functional_subsume).
% 18.95/19.34 set(ordered_paramod).
% 18.95/19.34 set(prime_paramod).
% 18.95/19.34 set(para_pairs).
% 18.95/19.34 assign(pick_given_ratio,4).
% 18.95/19.34 clear(print_kept).
% 18.95/19.34 clear(print_new_demod).
% 18.95/19.34 clear(print_back_demod).
% 18.95/19.34 clear(print_given).
% 18.95/19.34 assign(max_mem,64000).
% 18.95/19.34 end_of_commands.
% 18.95/19.34
% 18.95/19.34 Usable:
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Sos:
% 18.95/19.34 0 (wt=-1) [] join(A,meet(B,meet(A,C))) = A.
% 18.95/19.34 0 (wt=-1) [] meet(A,join(B,join(A,C))) = A.
% 18.95/19.34 0 (wt=-1) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 18.95/19.34 0 (wt=-1) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 18.95/19.34 0 (wt=-1) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Demodulators:
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Passive:
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Starting to process input.
% 18.95/19.34
% 18.95/19.34 ** KEPT: 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 18.95/19.34 1 is a new demodulator.
% 18.95/19.34
% 18.95/19.34 ** KEPT: 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 18.95/19.34 2 is a new demodulator.
% 18.95/19.34
% 18.95/19.34 ** KEPT: 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 18.95/19.34 3 is a new demodulator.
% 18.95/19.34
% 18.95/19.34 ** KEPT: 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 18.95/19.34 4 is a new demodulator.
% 18.95/19.34
% 18.95/19.34 ** KEPT: 5 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 18.95/19.34 ---------------- PROOF FOUND ----------------
% 18.95/19.34 % SZS status Unsatisfiable
% 18.95/19.34
% 18.95/19.34
% 18.95/19.34 After processing input:
% 18.95/19.34
% 18.95/19.34 Usable:
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Sos:
% 18.95/19.34 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 18.95/19.34 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 18.95/19.34 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 18.95/19.34 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 18.95/19.34 5 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Demodulators:
% 18.95/19.34 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 18.95/19.34 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 18.95/19.34 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 18.95/19.34 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 Passive:
% 18.95/19.34 end_of_list.
% 18.95/19.34
% 18.95/19.34 UNIT CONFLICT from 32608 and 1007 at 15.37 seconds.
% 18.95/19.34
% 18.95/19.34 ---------------- PROOF ----------------
% 18.95/19.34 % SZS output start Refutation
% See solution above
% 18.95/19.34 ------------ end of proof -------------
% 18.95/19.34
% 18.95/19.34
% 18.95/19.34 ------------- memory usage ------------
% 18.95/19.34 Memory dynamically allocated (tp_alloc): 54199.
% 18.95/19.34 type (bytes each) gets frees in use avail bytes
% 18.95/19.34 sym_ent ( 96) 56 0 56 0 5.2 K
% 18.95/19.34 term ( 16) 7029822 6202892 826930 21 16024.0 K
% 18.95/19.34 gen_ptr ( 8) 5238893 1649823 3589070 55 28040.0 K
% 18.95/19.34 context ( 808) 4516760 4516758 2 8 7.9 K
% 18.95/19.34 trail ( 12) 1661844 1661844 0 10 0.1 K
% 18.95/19.34 bt_node ( 68) 2035230 2035227 3 34 2.5 K
% 18.95/19.34 ac_position (285432) 0 0 0 0 0.0 K
% 18.95/19.34 ac_match_pos (14044) 0 0 0 0 0.0 K
% 18.95/19.34 ac_match_free_vars_pos (4020)
% 18.95/19.34 0 0 0 0 0.0 K
% 18.95/19.34 discrim ( 12) 612413 309244 303169 118661 4943.3 K
% 18.95/19.34 flat ( 40) 15050268 15050268 0 61 2.4 K
% 18.95/19.34 discrim_pos ( 12) 263126 263126 0 1 0.0 K
% 18.95/19.34 fpa_head ( 12) 29882 0 29882 0 350.2 K
% 18.95/19.34 fpa_tree ( 28) 129684 129684 0 33 0.9 K
% 18.95/19.34 fpa_pos ( 36) 61724 61724 0 1 0.0 K
% 18.95/19.34 literal ( 12) 254403 221795 32608 1 382.1 K
% 18.95/19.34 clause ( 24) 254403 221795 32608 1 764.3 K
% 18.95/19.34 list ( 12) 29175 29116 59 1 0.7 K
% 18.95/19.34 list_pos ( 20) 156028 71406 84622 4522 1741.1 K
% 18.95/19.34 pair_index ( 40) 2 0 2 0 0.1 K
% 18.95/19.34
% 18.95/19.34 -------------- statistics -------------
% 18.95/19.34 Clauses input 5
% 18.95/19.34 Usable input 0
% 18.95/19.34 Sos input 5
% 18.95/19.34 Demodulators input 0
% 18.95/19.34 Passive input 0
% 18.95/19.34
% 18.95/19.34 Processed BS (before search) 5
% 18.95/19.34 Forward subsumed BS 0
% 18.95/19.34 Kept BS 5
% 18.95/19.34 New demodulators BS 4
% 18.95/19.34 Back demodulated BS 0
% 18.95/19.34
% 18.95/19.34 Clauses or pairs given 421348
% 18.95/19.34 Clauses generated 195892
% 18.95/19.34 Forward subsumed 163289
% 18.95/19.34 Deleted by weight 0
% 18.95/19.34 Deleted by variable count 0
% 18.95/19.34 Kept 32603
% 18.95/19.34 New demodulators 29112
% 18.95/19.34 Back demodulated 14498
% 18.95/19.34 Ordered paramod prunes 0
% 18.95/19.34 Basic paramod prunes 2485776
% 18.95/19.34 Prime paramod prunes 2943
% 18.95/19.34 Semantic prunes 0
% 18.95/19.34
% 18.95/19.34 Rewrite attmepts 1933912
% 18.95/19.35 Rewrites 236711
% 18.95/19.35
% 18.95/19.35 FPA overloads 0
% 18.95/19.35 FPA underloads 0
% 18.95/19.35
% 18.95/19.35 Usable size 0
% 18.95/19.35 Sos size 18109
% 18.95/19.35 Demodulators size 15713
% 18.95/19.35 Passive size 0
% 18.95/19.35 Disabled size 14498
% 18.95/19.35
% 18.95/19.35 Proofs found 1
% 18.95/19.35
% 18.95/19.35 ----------- times (seconds) ----------- Wed Jun 29 01:47:21 2022
% 18.95/19.35
% 18.95/19.35 user CPU time 15.37 (0 hr, 0 min, 15 sec)
% 18.95/19.35 system CPU time 2.87 (0 hr, 0 min, 2 sec)
% 18.95/19.35 wall-clock time 18 (0 hr, 0 min, 18 sec)
% 18.95/19.35 input time 0.00
% 18.95/19.35 paramodulation time 1.03
% 18.95/19.35 demodulation time 0.56
% 18.95/19.35 orient time 0.35
% 18.95/19.35 weigh time 0.10
% 18.95/19.35 forward subsume time 0.16
% 18.95/19.35 back demod find time 3.89
% 18.95/19.35 conflict time 0.04
% 18.95/19.35 LRPO time 0.16
% 18.95/19.35 store clause time 5.22
% 18.95/19.35 disable clause time 3.00
% 18.95/19.35 prime paramod time 0.30
% 18.95/19.35 semantics time 0.00
% 18.95/19.35
% 18.95/19.35 EQP interrupted
%------------------------------------------------------------------------------