%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n019.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 04:34:20 EDT 2022
% Result : Unsatisfiable 2.86s 3.22s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 2 RR)
% Number of literals : 52 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 142 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT027-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT027-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT027-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT027-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(join(A,B),join(C,B)),B),B),
file('LAT027-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(meet(A,B),meet(C,B)),B),B),
file('LAT027-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(A,join(B,join(A,C))),A),
file('LAT027-1.p',unknown),
[] ).
cnf(8,plain,
~ equal(join(join(a,b),c),join(a,join(b,c))),
file('LAT027-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(10,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(11,plain,
equal(meet(join(A,B),B),B),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(14,plain,
equal(meet(meet(join(A,B),join(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(15,plain,
equal(meet(meet(join(A,B),join(B,C)),B),B),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(20,plain,
equal(join(join(meet(A,B),meet(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(25,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(26,plain,
equal(meet(A,join(join(A,B),C)),A),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(27,plain,
equal(join(join(A,meet(B,join(C,join(A,D)))),join(C,join(A,D))),join(C,join(A,D))),
inference(para,[status(thm),theory(equality)],[7,6]),
[iquote('para(7,6)')] ).
cnf(34,plain,
equal(meet(A,join(join(B,A),C)),A),
inference(para,[status(thm),theory(equality)],[4,25]),
[iquote('para(4,25)')] ).
cnf(36,plain,
equal(join(join(A,meet(B,join(C,A))),join(C,A)),join(C,A)),
inference(para,[status(thm),theory(equality)],[9,6]),
[iquote('para(9,6)')] ).
cnf(37,plain,
equal(join(join(meet(A,join(B,C)),C),join(B,C)),join(B,C)),
inference(para,[status(thm),theory(equality)],[9,6]),
[iquote('para(9,6)')] ).
cnf(38,plain,
equal(join(join(A,meet(B,join(A,C))),join(A,C)),join(A,C)),
inference(para,[status(thm),theory(equality)],[10,6]),
[iquote('para(10,6)')] ).
cnf(41,plain,
equal(join(join(meet(A,B),A),A),A),
inference(para,[status(thm),theory(equality)],[1,20]),
[iquote('para(1,20)')] ).
cnf(42,plain,
equal(join(A,join(meet(A,B),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,4]),1]),
[iquote('para(41,4),flip(1)')] ).
cnf(48,plain,
equal(join(meet(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,9]),11]),1]),
[iquote('para(42,9),demod([11]),flip(1)')] ).
cnf(51,plain,
equal(meet(A,meet(join(A,B),join(C,A))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,3]),1]),
[iquote('para(14,3),flip(1)')] ).
cnf(52,plain,
equal(meet(meet(A,B),join(C,A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[48,7]),
[iquote('para(48,7)')] ).
cnf(93,plain,
equal(meet(meet(A,B),join(A,C)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[4,52]),
[iquote('para(4,52)')] ).
cnf(120,plain,
equal(join(join(A,B),join(B,join(A,C))),join(B,join(A,C))),
inference(para,[status(thm),theory(equality)],[10,27]),
[iquote('para(10,27)')] ).
cnf(172,plain,
equal(join(join(A,B),join(join(B,C),A)),join(join(B,C),A)),
inference(para,[status(thm),theory(equality)],[26,36]),
[iquote('para(26,36)')] ).
cnf(174,plain,
equal(join(join(A,B),join(join(C,B),A)),join(join(C,B),A)),
inference(para,[status(thm),theory(equality)],[34,36]),
[iquote('para(34,36)')] ).
cnf(189,plain,
equal(join(join(A,B),join(join(A,C),B)),join(join(A,C),B)),
inference(para,[status(thm),theory(equality)],[26,37]),
[iquote('para(26,37)')] ).
cnf(191,plain,
equal(join(join(A,B),join(join(C,A),B)),join(join(C,A),B)),
inference(para,[status(thm),theory(equality)],[34,37]),
[iquote('para(34,37)')] ).
cnf(204,plain,
equal(meet(meet(join(A,join(B,meet(C,join(B,D)))),join(B,D)),join(B,meet(C,join(B,D)))),join(B,meet(C,join(B,D)))),
inference(para,[status(thm),theory(equality)],[38,15]),
[iquote('para(38,15)')] ).
cnf(268,plain,
equal(join(join(meet(meet(join(A,B),join(C,A)),D),A),meet(join(A,B),join(C,A))),meet(join(A,B),join(C,A))),
inference(para,[status(thm),theory(equality)],[51,20]),
[iquote('para(51,20)')] ).
cnf(910,plain,
equal(join(join(A,join(B,C)),join(B,A)),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[120,4]),1]),
[iquote('para(120,4),flip(1)')] ).
cnf(915,plain,
equal(join(join(join(A,B),C),join(C,A)),join(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[172,4]),1]),
[iquote('para(172,4),flip(1)')] ).
cnf(916,plain,
equal(join(join(join(A,B),C),join(C,B)),join(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[174,4]),1]),
[iquote('para(174,4),flip(1)')] ).
cnf(918,plain,
equal(join(join(join(A,B),C),join(A,C)),join(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[189,4]),1]),
[iquote('para(189,4),flip(1)')] ).
cnf(980,plain,
equal(join(join(A,meet(B,C)),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[93,36]),
[iquote('para(93,36)')] ).
cnf(983,plain,
equal(join(join(meet(A,B),C),join(A,C)),join(A,C)),
inference(para,[status(thm),theory(equality)],[4,980]),
[iquote('para(4,980)')] ).
cnf(1095,plain,
equal(meet(join(A,B),join(B,join(A,C))),join(A,B)),
inference(para,[status(thm),theory(equality)],[910,9]),
[iquote('para(910,9)')] ).
cnf(1096,plain,
equal(meet(join(A,join(B,C)),join(B,A)),join(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1095,3]),1]),
[iquote('para(1095,3),flip(1)')] ).
cnf(1110,plain,
equal(meet(join(A,B),join(join(B,C),A)),join(A,B)),
inference(para,[status(thm),theory(equality)],[915,9]),
[iquote('para(915,9)')] ).
cnf(2806,plain,
equal(join(join(meet(join(join(A,B),C),D),join(C,A)),join(join(A,B),C)),join(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[1110,20]),
[iquote('para(1110,20)')] ).
cnf(8109,plain,
equal(join(join(A,meet(B,join(A,C))),C),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[204,268]),1096,918,1096]),
[iquote('para(204,268),demod([1096,918,1096])')] ).
cnf(8134,plain,
equal(join(join(A,B),join(B,C)),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[7,8109]),
[iquote('para(7,8109)')] ).
cnf(8146,plain,
equal(join(join(A,B),join(C,B)),join(join(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[916]),8134]),
[iquote('back_demod(916),demod([8134])')] ).
cnf(8163,plain,
equal(join(join(meet(A,B),C),A),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[983]),8146]),
[iquote('back_demod(983),demod([8146])')] ).
cnf(8209,plain,
equal(join(join(A,B),join(C,A)),join(join(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2806]),8163,8134]),
[iquote('back_demod(2806),demod([8163,8134])')] ).
cnf(8238,plain,
equal(join(join(A,B),C),join(join(C,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[191]),8146,8209]),
[iquote('back_demod(191),demod([8146,8209])')] ).
cnf(8248,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[8238,4]),
[iquote('para(8238,4)')] ).
cnf(8249,plain,
$false,
inference(conflict,[status(thm)],[8248,8]),
[iquote('conflict(8248,8)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n019.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 04:00:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.86/3.22 ----- EQP 0.9e, May 2009 -----
% 2.86/3.22 The job began on n019.cluster.edu, Wed Jun 29 04:00:54 2022
% 2.86/3.22 The command was "./eqp09e".
% 2.86/3.22
% 2.86/3.22 set(prolog_style_variables).
% 2.86/3.22 set(lrpo).
% 2.86/3.22 set(basic_paramod).
% 2.86/3.22 set(functional_subsume).
% 2.86/3.22 set(ordered_paramod).
% 2.86/3.22 set(prime_paramod).
% 2.86/3.22 set(para_pairs).
% 2.86/3.22 assign(pick_given_ratio,4).
% 2.86/3.22 clear(print_kept).
% 2.86/3.22 clear(print_new_demod).
% 2.86/3.22 clear(print_back_demod).
% 2.86/3.22 clear(print_given).
% 2.86/3.22 assign(max_mem,64000).
% 2.86/3.22 end_of_commands.
% 2.86/3.22
% 2.86/3.22 Usable:
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Sos:
% 2.86/3.22 0 (wt=-1) [] meet(A,A) = A.
% 2.86/3.22 0 (wt=-1) [] join(A,A) = A.
% 2.86/3.22 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 2.86/3.22 0 (wt=-1) [] join(A,B) = join(B,A).
% 2.86/3.22 0 (wt=-1) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 2.86/3.22 0 (wt=-1) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 2.86/3.22 0 (wt=-1) [] meet(A,join(B,join(A,C))) = A.
% 2.86/3.22 0 (wt=-1) [] -(join(join(a,b),c) = join(a,join(b,c))).
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Demodulators:
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Passive:
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Starting to process input.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 2.86/3.22 1 is a new demodulator.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 2.86/3.22 2 is a new demodulator.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 2.86/3.22 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 2.86/3.22
% 2.86/3.22 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 2.86/3.22 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 2.86/3.22
% 2.86/3.22 ** KEPT: 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 2.86/3.22 5 is a new demodulator.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 2.86/3.22 6 is a new demodulator.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 2.86/3.22 7 is a new demodulator.
% 2.86/3.22
% 2.86/3.22 ** KEPT: 8 (wt=11) [] -(join(join(a,b),c) = join(a,join(b,c))).
% 2.86/3.22 ---------------- PROOF FOUND ----------------
% 2.86/3.22 % SZS status Unsatisfiable
% 2.86/3.22
% 2.86/3.22
% 2.86/3.22 After processing input:
% 2.86/3.22
% 2.86/3.22 Usable:
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Sos:
% 2.86/3.22 1 (wt=5) [] meet(A,A) = A.
% 2.86/3.22 2 (wt=5) [] join(A,A) = A.
% 2.86/3.22 3 (wt=7) [] meet(A,B) = meet(B,A).
% 2.86/3.22 4 (wt=7) [] join(A,B) = join(B,A).
% 2.86/3.22 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 2.86/3.22 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 2.86/3.22 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 2.86/3.22 8 (wt=11) [] -(join(join(a,b),c) = join(a,join(b,c))).
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Demodulators:
% 2.86/3.22 1 (wt=5) [] meet(A,A) = A.
% 2.86/3.22 2 (wt=5) [] join(A,A) = A.
% 2.86/3.22 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 2.86/3.22 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 2.86/3.22 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 Passive:
% 2.86/3.22 end_of_list.
% 2.86/3.22
% 2.86/3.22 UNIT CONFLICT from 8248 and 8 at 1.23 seconds.
% 2.86/3.22
% 2.86/3.22 ---------------- PROOF ----------------
% 2.86/3.22 % SZS output start Refutation
% See solution above
% 2.86/3.22 ------------ end of proof -------------
% 2.86/3.22
% 2.86/3.22
% 2.86/3.22 ------------- memory usage ------------
% 2.86/3.22 Memory dynamically allocated (tp_alloc): 13671.
% 2.86/3.22 type (bytes each) gets frees in use avail bytes
% 2.86/3.22 sym_ent ( 96) 56 0 56 0 5.2 K
% 2.86/3.22 term ( 16) 2014222 1823728 190494 30 3688.9 K
% 2.86/3.22 gen_ptr ( 8) 1178569 362732 815837 494 6377.6 K
% 2.86/3.22 context ( 808) 1340999 1340997 2 4 4.7 K
% 2.86/3.22 trail ( 12) 286594 286594 0 8 0.1 K
% 2.86/3.22 bt_node ( 68) 648521 648518 3 30 2.2 K
% 2.86/3.22 ac_position (285432) 0 0 0 0 0.0 K
% 2.86/3.22 ac_match_pos (14044) 0 0 0 0 0.0 K
% 2.86/3.22 ac_match_free_vars_pos (4020)
% 2.86/3.22 0 0 0 0 0.0 K
% 2.86/3.22 discrim ( 12) 155994 28831 127163 22366 1752.3 K
% 2.86/3.22 flat ( 40) 4087889 4087889 0 49 1.9 K
% 2.86/3.22 discrim_pos ( 12) 74379 74379 0 1 0.0 K
% 2.86/3.22 fpa_head ( 12) 14461 0 14461 0 169.5 K
% 2.86/3.22 fpa_tree ( 28) 33138 33138 0 19 0.5 K
% 2.86/3.22 fpa_pos ( 36) 16124 16124 0 1 0.0 K
% 2.86/3.22 literal ( 12) 72669 64421 8248 1 96.7 K
% 2.86/3.22 clause ( 24) 72669 64421 8248 1 193.3 K
% 2.86/3.22 list ( 12) 7935 7879 56 6 0.7 K
% 2.86/3.22 list_pos ( 20) 35410 6694 28716 2494 609.6 K
% 2.86/3.22 pair_index ( 40) 2 0 2 0 0.1 K
% 2.86/3.22
% 2.86/3.22 -------------- statistics -------------
% 2.86/3.22 Clauses input 8
% 2.86/3.22 Usable input 0
% 2.86/3.22 Sos input 8
% 2.86/3.22 Demodulators input 0
% 2.86/3.22 Passive input 0
% 2.86/3.22
% 2.86/3.22 Processed BS (before search) 10
% 2.86/3.22 Forward subsumed BS 2
% 2.86/3.22 Kept BS 8
% 2.86/3.22 New demodulators BS 5
% 2.86/3.22 Back demodulated BS 0
% 2.86/3.22
% 2.86/3.22 Clauses or pairs given 126131
% 2.86/3.22 Clauses generated 58427
% 2.86/3.22 Forward subsumed 50187
% 2.86/3.22 Deleted by weight 0
% 2.86/3.22 Deleted by variable count 0
% 2.86/3.22 Kept 8240
% 2.86/3.22 New demodulators 7871
% 2.86/3.22 Back demodulated 1385
% 2.86/3.22 Ordered paramod prunes 0
% 2.86/3.22 Basic paramod prunes 673898
% 2.86/3.22 Prime paramod prunes 553
% 2.86/3.22 Semantic prunes 0
% 2.86/3.22
% 2.86/3.22 Rewrite attmepts 551774
% 2.86/3.22 Rewrites 68497
% 2.86/3.22
% 2.86/3.22 FPA overloads 0
% 2.86/3.22 FPA underloads 0
% 2.86/3.22
% 2.86/3.22 Usable size 0
% 2.86/3.22 Sos size 6862
% 2.86/3.22 Demodulators size 6745
% 2.86/3.22 Passive size 0
% 2.86/3.22 Disabled size 1385
% 2.86/3.22
% 2.86/3.22 Proofs found 1
% 2.86/3.22
% 2.86/3.22 ----------- times (seconds) ----------- Wed Jun 29 04:00:56 2022
% 2.86/3.22
% 2.86/3.22 user CPU time 1.23 (0 hr, 0 min, 1 sec)
% 2.86/3.22 system CPU time 0.91 (0 hr, 0 min, 0 sec)
% 2.86/3.22 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.86/3.22 input time 0.00
% 2.86/3.22 paramodulation time 0.20
% 2.86/3.22 demodulation time 0.09
% 2.86/3.22 orient time 0.08
% 2.86/3.22 weigh time 0.02
% 2.86/3.22 forward subsume time 0.03
% 2.86/3.22 back demod find time 0.16
% 2.86/3.22 conflict time 0.00
% 2.86/3.22 LRPO time 0.03
% 2.86/3.22 store clause time 0.37
% 2.86/3.22 disable clause time 0.06
% 2.86/3.22 prime paramod time 0.06
% 2.86/3.22 semantics time 0.00
% 2.86/3.22
% 2.86/3.22 EQP interrupted
%------------------------------------------------------------------------------