%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 04:34:13 EDT 2022
% Result : Unsatisfiable 0.75s 1.38s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 2 RR)
% Number of literals : 54 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 136 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,join(A,B)),A),
file('LAT006-1.p',unknown),
[] ).
cnf(2,plain,
equal(meet(A,join(B,C)),join(meet(C,A),meet(B,A))),
file('LAT006-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(meet(A,B),meet(C,B)),meet(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(meet(meet(a,b),c),meet(a,meet(b,c))),
file('LAT006-1.p',unknown),
[] ).
cnf(5,plain,
equal(join(meet(A,B),meet(B,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),1]),
[iquote('para(1,2),flip(1)')] ).
cnf(7,plain,
equal(meet(meet(A,B),B),meet(A,B)),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(8,plain,
equal(meet(meet(A,B),meet(B,join(C,A))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(9,plain,
equal(join(A,meet(B,join(A,C))),meet(join(A,C),join(B,A))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(13,plain,
equal(meet(A,meet(B,join(C,D))),join(meet(meet(C,B),A),meet(meet(D,B),A))),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(14,plain,
equal(join(meet(meet(A,B),C),meet(meet(D,B),C)),meet(C,meet(B,join(A,D)))),
inference(flip,[status(thm),theory(equality)],[13]),
[iquote('flip(13)')] ).
cnf(21,plain,
equal(meet(A,B),join(meet(meet(B,B),A),meet(meet(C,B),A))),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(22,plain,
equal(join(meet(meet(A,A),B),meet(meet(C,A),B)),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[21]),
[iquote('flip(21)')] ).
cnf(29,plain,
equal(meet(meet(meet(A,A),B),meet(B,A)),meet(meet(A,A),B)),
inference(para,[status(thm),theory(equality)],[5,8]),
[iquote('para(5,8)')] ).
cnf(30,plain,
equal(meet(join(A,B),join(A,A)),join(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),1]),
[iquote('para(1,9),flip(1)')] ).
cnf(33,plain,
equal(join(meet(A,join(B,B)),join(B,B)),join(B,B)),
inference(para,[status(thm),theory(equality)],[30,5]),
[iquote('para(30,5)')] ).
cnf(34,plain,
equal(meet(join(meet(A,A),B),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,30]),5]),
[iquote('para(5,30),demod([5])')] ).
cnf(35,plain,
equal(join(A,meet(A,A)),A),
inference(para,[status(thm),theory(equality)],[34,5]),
[iquote('para(34,5)')] ).
cnf(36,plain,
equal(meet(A,A),A),
inference(para,[status(thm),theory(equality)],[35,1]),
[iquote('para(35,1)')] ).
cnf(37,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),36]),
[iquote('back_demod(35),demod([36])')] ).
cnf(38,plain,
equal(join(meet(A,B),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[33]),37,37,37]),
[iquote('back_demod(33),demod([37,37,37])')] ).
cnf(39,plain,
equal(meet(join(A,B),A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),37,37]),
[iquote('back_demod(30),demod([37,37])')] ).
cnf(40,plain,
equal(meet(meet(A,B),meet(B,A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),36,36]),
[iquote('back_demod(29),demod([36,36])')] ).
cnf(42,plain,
equal(join(meet(A,B),meet(meet(C,A),B)),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),36]),
[iquote('back_demod(22),demod([36])')] ).
cnf(61,plain,
equal(join(meet(A,B),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[40,38]),
[iquote('para(40,38)')] ).
cnf(72,plain,
equal(join(A,meet(B,A)),meet(A,join(B,A))),
inference(para,[status(thm),theory(equality)],[36,3]),
[iquote('para(36,3)')] ).
cnf(73,plain,
equal(meet(A,join(B,A)),join(A,meet(B,A))),
inference(flip,[status(thm),theory(equality)],[72]),
[iquote('flip(72)')] ).
cnf(86,plain,
equal(join(A,meet(B,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,73]),36,7]),1]),
[iquote('para(38,73),demod([36,7]),flip(1)')] ).
cnf(129,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,86]),61]),
[iquote('para(40,86),demod([61])')] ).
cnf(135,plain,
equal(join(A,meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[129,86]),
[iquote('para(129,86)')] ).
cnf(149,plain,
equal(meet(A,meet(B,C)),meet(meet(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[37,13]),37]),
[iquote('para(37,13),demod([37])')] ).
cnf(150,plain,
equal(meet(meet(A,B),C),meet(C,meet(B,A))),
inference(flip,[status(thm),theory(equality)],[149]),
[iquote('flip(149)')] ).
cnf(171,plain,
equal(join(meet(A,meet(B,C)),meet(C,B)),meet(meet(B,C),join(meet(C,B),A))),
inference(para,[status(thm),theory(equality)],[40,3]),
[iquote('para(40,3)')] ).
cnf(172,plain,
equal(meet(meet(A,B),join(meet(B,A),C)),join(meet(C,meet(A,B)),meet(B,A))),
inference(flip,[status(thm),theory(equality)],[171]),
[iquote('flip(171)')] ).
cnf(178,plain,
equal(join(meet(meet(A,B),meet(B,C)),meet(C,B)),meet(meet(B,C),meet(B,join(A,C)))),
inference(para,[status(thm),theory(equality)],[40,14]),
[iquote('para(40,14)')] ).
cnf(179,plain,
equal(meet(meet(A,B),meet(A,join(C,B))),join(meet(meet(C,A),meet(A,B)),meet(B,A))),
inference(flip,[status(thm),theory(equality)],[178]),
[iquote('flip(178)')] ).
cnf(197,plain,
equal(meet(meet(A,B),join(meet(B,A),C)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[149,39]),
[iquote('para(149,39)')] ).
cnf(198,plain,
equal(join(meet(A,meet(B,C)),meet(C,B)),meet(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[172]),197]),1]),
[iquote('back_demod(172),demod([197]),flip(1)')] ).
cnf(199,plain,
equal(meet(meet(A,B),meet(A,join(C,B))),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[179]),198]),
[iquote('back_demod(179),demod([198])')] ).
cnf(294,plain,
equal(meet(meet(meet(A,B),C),meet(C,B)),meet(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[86,8]),
[iquote('para(86,8)')] ).
cnf(363,plain,
equal(join(meet(A,B),meet(meet(C,B),A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[129,42]),
[iquote('para(129,42)')] ).
cnf(400,plain,
equal(meet(A,B),join(meet(meet(B,C),A),meet(B,A))),
inference(para,[status(thm),theory(equality)],[135,2]),
[iquote('para(135,2)')] ).
cnf(402,plain,
equal(meet(meet(meet(A,B),C),meet(C,A)),meet(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[135,8]),
[iquote('para(135,8)')] ).
cnf(450,plain,
equal(meet(meet(A,meet(B,C)),meet(A,C)),meet(meet(B,C),A)),
inference(para,[status(thm),theory(equality)],[86,199]),
[iquote('para(86,199)')] ).
cnf(957,plain,
equal(join(meet(meet(A,B),C),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[400,129]),
[iquote('para(400,129)')] ).
cnf(1091,plain,
equal(join(meet(meet(A,B),C),meet(C,A)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[129,957]),
[iquote('para(129,957)')] ).
cnf(1302,plain,
equal(meet(meet(meet(A,B),C),meet(B,C)),meet(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[129,294]),
[iquote('para(129,294)')] ).
cnf(1534,plain,
equal(meet(meet(meet(A,B),C),meet(A,C)),meet(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[129,402]),
[iquote('para(129,402)')] ).
cnf(1537,plain,
equal(meet(meet(A,B),C),meet(meet(C,A),meet(C,meet(A,B)))),
inference(para,[status(thm),theory(equality)],[402,150]),
[iquote('para(402,150)')] ).
cnf(1677,plain,
equal(meet(meet(A,B),meet(A,meet(B,C))),meet(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[1537,129]),
[iquote('para(1537,129)')] ).
cnf(1733,plain,
equal(meet(meet(A,B),meet(C,B)),meet(A,meet(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[450,363]),1091]),1]),
[iquote('para(450,363),demod([1091]),flip(1)')] ).
cnf(1738,plain,
equal(meet(meet(A,B),meet(A,C)),meet(meet(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1534]),1733]),
[iquote('back_demod(1534),demod([1733])')] ).
cnf(1739,plain,
equal(meet(meet(A,B),meet(B,C)),meet(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1677]),1738]),
[iquote('back_demod(1677),demod([1738])')] ).
cnf(1818,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1302]),1733,1739]),1]),
[iquote('back_demod(1302),demod([1733,1739]),flip(1)')] ).
cnf(1819,plain,
$false,
inference(conflict,[status(thm)],[1818,4]),
[iquote('conflict(1818,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 30 04:40:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.75/1.38 ----- EQP 0.9e, May 2009 -----
% 0.75/1.38 The job began on n021.cluster.edu, Thu Jun 30 04:40:13 2022
% 0.75/1.38 The command was "./eqp09e".
% 0.75/1.38
% 0.75/1.38 set(prolog_style_variables).
% 0.75/1.38 set(lrpo).
% 0.75/1.38 set(basic_paramod).
% 0.75/1.38 set(functional_subsume).
% 0.75/1.38 set(ordered_paramod).
% 0.75/1.38 set(prime_paramod).
% 0.75/1.38 set(para_pairs).
% 0.75/1.38 assign(pick_given_ratio,4).
% 0.75/1.38 clear(print_kept).
% 0.75/1.38 clear(print_new_demod).
% 0.75/1.38 clear(print_back_demod).
% 0.75/1.38 clear(print_given).
% 0.75/1.38 assign(max_mem,64000).
% 0.75/1.38 end_of_commands.
% 0.75/1.38
% 0.75/1.38 Usable:
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Sos:
% 0.75/1.38 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.75/1.38 0 (wt=-1) [] meet(A,join(B,C)) = join(meet(C,A),meet(B,A)).
% 0.75/1.38 0 (wt=-1) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Demodulators:
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Passive:
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Starting to process input.
% 0.75/1.38
% 0.75/1.38 ** KEPT: 1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.75/1.38 1 is a new demodulator.
% 0.75/1.38
% 0.75/1.38 ** KEPT: 2 (wt=13) [] meet(A,join(B,C)) = join(meet(C,A),meet(B,A)).
% 0.75/1.38
% 0.75/1.38 ** KEPT: 3 (wt=13) [flip(2)] join(meet(A,B),meet(C,B)) = meet(B,join(C,A)).
% 0.75/1.38 clause forward subsumed: 0 (wt=13) [flip(3)] meet(B,join(C,A)) = join(meet(A,B),meet(C,B)).
% 0.75/1.38
% 0.75/1.38 ** KEPT: 4 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 0.75/1.38 ---------------- PROOF FOUND ----------------
% 0.75/1.38 % SZS status Unsatisfiable
% 0.75/1.38
% 0.75/1.38
% 0.75/1.38 After processing input:
% 0.75/1.38
% 0.75/1.38 Usable:
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Sos:
% 0.75/1.38 1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.75/1.38 4 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 0.75/1.38 2 (wt=13) [] meet(A,join(B,C)) = join(meet(C,A),meet(B,A)).
% 0.75/1.38 3 (wt=13) [flip(2)] join(meet(A,B),meet(C,B)) = meet(B,join(C,A)).
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Demodulators:
% 0.75/1.38 1 (wt=7) [] meet(A,join(A,B)) = A.
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 Passive:
% 0.75/1.38 end_of_list.
% 0.75/1.38
% 0.75/1.38 UNIT CONFLICT from 1818 and 4 at 0.18 seconds.
% 0.75/1.38
% 0.75/1.38 ---------------- PROOF ----------------
% 0.75/1.38 % SZS output start Refutation
% See solution above
% 0.75/1.38 ------------ end of proof -------------
% 0.75/1.38
% 0.75/1.38
% 0.75/1.38 ------------- memory usage ------------
% 0.75/1.38 Memory dynamically allocated (tp_alloc): 3906.
% 0.75/1.38 type (bytes each) gets frees in use avail bytes
% 0.75/1.38 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.75/1.38 term ( 16) 216816 160294 56522 22 1097.3 K
% 0.75/1.38 gen_ptr ( 8) 311033 53863 257170 53 2009.6 K
% 0.75/1.38 context ( 808) 118365 118363 2 6 6.3 K
% 0.75/1.38 trail ( 12) 179787 179787 0 7 0.1 K
% 0.75/1.38 bt_node ( 68) 35459 35454 5 18 1.5 K
% 0.75/1.38 ac_position (285432) 0 0 0 0 0.0 K
% 0.75/1.38 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.75/1.38 ac_match_free_vars_pos (4020)
% 0.75/1.38 0 0 0 0 0.0 K
% 0.75/1.38 discrim ( 12) 44610 19970 24640 1464 305.9 K
% 0.75/1.38 flat ( 40) 506263 506263 0 131 5.1 K
% 0.75/1.38 discrim_pos ( 12) 9546 9546 0 1 0.0 K
% 0.75/1.38 fpa_head ( 12) 4706 0 4706 0 55.1 K
% 0.75/1.38 fpa_tree ( 28) 5994 5994 0 31 0.8 K
% 0.75/1.38 fpa_pos ( 36) 2779 2779 0 1 0.0 K
% 0.75/1.38 literal ( 12) 8552 6734 1818 1 21.3 K
% 0.75/1.38 clause ( 24) 8552 6734 1818 1 42.6 K
% 0.75/1.38 list ( 12) 1020 963 57 4 0.7 K
% 0.75/1.38 list_pos ( 20) 8080 3570 4510 110 90.2 K
% 0.75/1.38 pair_index ( 40) 2 0 2 0 0.1 K
% 0.75/1.38
% 0.75/1.38 -------------- statistics -------------
% 0.75/1.38 Clauses input 3
% 0.75/1.38 Usable input 0
% 0.75/1.38 Sos input 3
% 0.75/1.38 Demodulators input 0
% 0.75/1.38 Passive input 0
% 0.75/1.38
% 0.75/1.38 Processed BS (before search) 5
% 0.75/1.38 Forward subsumed BS 1
% 0.75/1.38 Kept BS 4
% 0.75/1.38 New demodulators BS 1
% 0.75/1.38 Back demodulated BS 0
% 0.75/1.38
% 0.75/1.38 Clauses or pairs given 6845
% 0.75/1.38 Clauses generated 5432
% 0.75/1.38 Forward subsumed 3618
% 0.75/1.38 Deleted by weight 0
% 0.75/1.38 Deleted by variable count 0
% 0.75/1.38 Kept 1814
% 0.75/1.38 New demodulators 960
% 0.75/1.38 Back demodulated 807
% 0.75/1.38 Ordered paramod prunes 0
% 0.75/1.38 Basic paramod prunes 23490
% 0.75/1.38 Prime paramod prunes 139
% 0.75/1.38 Semantic prunes 0
% 0.75/1.38
% 0.75/1.38 Rewrite attmepts 72228
% 0.75/1.38 Rewrites 8272
% 0.75/1.38
% 0.75/1.38 FPA overloads 0
% 0.75/1.38 FPA underloads 0
% 0.75/1.38
% 0.75/1.38 Usable size 0
% 0.75/1.38 Sos size 1010
% 0.75/1.38 Demodulators size 661
% 0.75/1.38 Passive size 0
% 0.75/1.38 Disabled size 807
% 0.75/1.38
% 0.75/1.38 Proofs found 1
% 0.75/1.38
% 0.75/1.38 ----------- times (seconds) ----------- Thu Jun 30 04:40:13 2022
% 0.75/1.38
% 0.75/1.38 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 0.75/1.38 system CPU time 0.11 (0 hr, 0 min, 0 sec)
% 0.75/1.38 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.75/1.38 input time 0.00
% 0.75/1.38 paramodulation time 0.02
% 0.75/1.38 demodulation time 0.03
% 0.75/1.38 orient time 0.01
% 0.75/1.38 weigh time 0.00
% 0.75/1.38 forward subsume time 0.01
% 0.75/1.38 back demod find time 0.03
% 0.75/1.38 conflict time 0.00
% 0.75/1.38 LRPO time 0.01
% 0.75/1.38 store clause time 0.03
% 0.75/1.38 disable clause time 0.01
% 0.75/1.38 prime paramod time 0.00
% 0.75/1.38 semantics time 0.00
% 0.75/1.38
% 0.75/1.38 EQP interrupted
%------------------------------------------------------------------------------