%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 04:34:54 EDT 2022
% Result : Unsatisfiable 1.21s 1.63s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 6 RR)
% Number of literals : 33 ( 0 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 72 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT143-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT143-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT143-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT143-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT143-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT143-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT143-1.p',unknown),
[] ).
cnf(9,plain,
equal(join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(A,B))))),join(meet(A,B),meet(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),meet(a,join(meet(a,b),meet(a,c)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
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(18,plain,
equal(meet(A,meet(B,join(meet(A,B),C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[7,3]),
[iquote('para(7,3)')] ).
cnf(19,plain,
equal(meet(A,meet(join(A,B),C)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,7]),1]),
[iquote('para(3,7),flip(1)')] ).
cnf(22,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,13]),7]),
[iquote('para(4,13),demod([7])')] ).
cnf(30,plain,
equal(join(A,join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
[iquote('para(4,8),flip(1)')] ).
cnf(42,plain,
equal(join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(B,A))))),join(meet(A,B),meet(B,C))),
inference(para,[status(thm),theory(equality)],[6,9]),
[iquote('para(6,9)')] ).
cnf(51,plain,
~ equal(meet(a,join(meet(b,a),join(meet(a,c),meet(c,join(a,b))))),meet(a,join(meet(a,b),meet(a,c)))),
inference(para,[status(thm),theory(equality)],[5,10]),
[iquote('para(5,10)')] ).
cnf(59,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[5,19]),
[iquote('para(5,19)')] ).
cnf(74,plain,
equal(join(meet(A,B),meet(A,join(meet(A,B),meet(C,A)))),join(meet(A,B),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,9]),7,22,7,22,7,22]),
[iquote('para(14,9),demod([7,22,7,22,7,22])')] ).
cnf(90,plain,
equal(join(meet(A,join(meet(B,A),C)),meet(B,A)),meet(A,join(meet(B,A),C))),
inference(para,[status(thm),theory(equality)],[18,12]),
[iquote('para(18,12)')] ).
cnf(106,plain,
equal(join(meet(A,B),join(C,A)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,6]),8]),1]),
[iquote('para(30,6),demod([8]),flip(1)')] ).
cnf(128,plain,
equal(join(meet(A,join(B,C)),meet(B,A)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[59,12]),
[iquote('para(59,12)')] ).
cnf(352,plain,
equal(meet(A,join(meet(B,A),meet(C,join(A,B)))),join(meet(B,A),meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,6]),90]),1]),
[iquote('para(42,6),demod([90]),flip(1)')] ).
cnf(556,plain,
~ equal(join(meet(b,a),meet(a,c)),meet(a,join(meet(a,b),meet(a,c)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,51]),128,352]),
[iquote('para(6,51),demod([128,352])')] ).
cnf(961,plain,
equal(join(meet(A,B),meet(B,join(A,C))),meet(B,join(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,6]),1]),
[iquote('para(128,6),flip(1)')] ).
cnf(966,plain,
equal(join(meet(A,B),meet(A,join(meet(A,B),meet(A,C)))),join(meet(A,B),meet(A,C))),
inference(para,[status(thm),theory(equality)],[5,74]),
[iquote('para(5,74)')] ).
cnf(2873,plain,
equal(join(meet(A,meet(B,C)),meet(B,join(A,D))),meet(B,join(A,D))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[128,106]),7,961]),
[iquote('para(128,106),demod([7,961])')] ).
cnf(2874,plain,
equal(join(meet(A,B),meet(A,join(meet(A,B),C))),meet(A,join(meet(A,B),C))),
inference(para,[status(thm),theory(equality)],[1,2873]),
[iquote('para(1,2873)')] ).
cnf(2880,plain,
equal(meet(A,join(meet(A,B),meet(A,C))),join(meet(A,B),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[966]),2874]),
[iquote('back_demod(966),demod([2874])')] ).
cnf(2893,plain,
~ equal(join(meet(b,a),meet(a,c)),join(meet(a,b),meet(a,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[556]),2880]),
[iquote('back_demod(556),demod([2880])')] ).
cnf(2899,plain,
~ equal(join(meet(a,b),meet(a,c)),join(meet(a,b),meet(a,c))),
inference(para,[status(thm),theory(equality)],[5,2893]),
[iquote('para(5,2893)')] ).
cnf(2900,plain,
$false,
inference(conflict,[status(thm)],[2899]),
[iquote('xx_conflict(2899)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 30 13:13:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.21/1.63 ----- EQP 0.9e, May 2009 -----
% 1.21/1.63 The job began on n029.cluster.edu, Thu Jun 30 13:13:39 2022
% 1.21/1.63 The command was "./eqp09e".
% 1.21/1.63
% 1.21/1.63 set(prolog_style_variables).
% 1.21/1.63 set(lrpo).
% 1.21/1.63 set(basic_paramod).
% 1.21/1.63 set(functional_subsume).
% 1.21/1.63 set(ordered_paramod).
% 1.21/1.63 set(prime_paramod).
% 1.21/1.63 set(para_pairs).
% 1.21/1.63 assign(pick_given_ratio,4).
% 1.21/1.63 clear(print_kept).
% 1.21/1.63 clear(print_new_demod).
% 1.21/1.63 clear(print_back_demod).
% 1.21/1.63 clear(print_given).
% 1.21/1.63 assign(max_mem,64000).
% 1.21/1.63 end_of_commands.
% 1.21/1.63
% 1.21/1.63 Usable:
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Sos:
% 1.21/1.63 0 (wt=-1) [] meet(A,A) = A.
% 1.21/1.63 0 (wt=-1) [] join(A,A) = A.
% 1.21/1.63 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 1.21/1.63 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 1.21/1.63 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.21/1.63 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.21/1.63 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.21/1.63 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.21/1.63 0 (wt=-1) [] join(meet(A,B),meet(B,C)) = join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(A,B))))).
% 1.21/1.63 0 (wt=-1) [] -(meet(a,join(meet(a,b),meet(a,c))) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))).
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Demodulators:
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Passive:
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Starting to process input.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.21/1.63 1 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.21/1.63 2 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.21/1.63 3 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.21/1.63 4 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.21/1.63 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 1.21/1.63
% 1.21/1.63 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 1.21/1.63 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 1.21/1.63
% 1.21/1.63 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.21/1.63 7 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.21/1.63 8 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 9 (wt=23) [flip(1)] join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(A,B))))) = join(meet(A,B),meet(B,C)).
% 1.21/1.63 9 is a new demodulator.
% 1.21/1.63
% 1.21/1.63 ** KEPT: 10 (wt=25) [flip(1)] -(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),meet(a,c)))).
% 1.21/1.63 ---------------- PROOF FOUND ----------------
% 1.21/1.63 % SZS status Unsatisfiable
% 1.21/1.63
% 1.21/1.63
% 1.21/1.63 After processing input:
% 1.21/1.63
% 1.21/1.63 Usable:
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Sos:
% 1.21/1.63 1 (wt=5) [] meet(A,A) = A.
% 1.21/1.63 2 (wt=5) [] join(A,A) = A.
% 1.21/1.63 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.21/1.63 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.21/1.63 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.21/1.63 6 (wt=7) [] join(A,B) = join(B,A).
% 1.21/1.63 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.21/1.63 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.21/1.63 9 (wt=23) [flip(1)] join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(A,B))))) = join(meet(A,B),meet(B,C)).
% 1.21/1.63 10 (wt=25) [flip(1)] -(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),meet(a,c)))).
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Demodulators:
% 1.21/1.63 1 (wt=5) [] meet(A,A) = A.
% 1.21/1.63 2 (wt=5) [] join(A,A) = A.
% 1.21/1.63 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.21/1.63 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.21/1.63 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.21/1.63 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.21/1.63 9 (wt=23) [flip(1)] join(meet(A,B),meet(B,join(meet(A,B),meet(C,join(A,B))))) = join(meet(A,B),meet(B,C)).
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 Passive:
% 1.21/1.63 end_of_list.
% 1.21/1.63
% 1.21/1.63 UNIT CONFLICT from 2899 and x=x at 0.29 seconds.
% 1.21/1.63
% 1.21/1.63 ---------------- PROOF ----------------
% 1.21/1.63 % SZS output start Refutation
% See solution above
% 1.21/1.63 ------------ end of proof -------------
% 1.21/1.63
% 1.21/1.63
% 1.21/1.63 ------------- memory usage ------------
% 1.21/1.63 Memory dynamically allocated (tp_alloc): 5371.
% 1.21/1.63 type (bytes each) gets frees in use avail bytes
% 1.21/1.63 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.21/1.63 term ( 16) 591826 519495 72331 26 1401.9 K
% 1.21/1.63 gen_ptr ( 8) 433948 100200 333748 32 2607.7 K
% 1.21/1.63 context ( 808) 336230 336228 2 7 7.1 K
% 1.21/1.63 trail ( 12) 134658 134658 0 6 0.1 K
% 1.21/1.63 bt_node ( 68) 119691 119688 3 26 1.9 K
% 1.21/1.63 ac_position (285432) 0 0 0 0 0.0 K
% 1.21/1.63 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.21/1.63 ac_match_free_vars_pos (4020)
% 1.21/1.63 0 0 0 0 0.0 K
% 1.21/1.63 discrim ( 12) 55402 6570 48832 89 573.3 K
% 1.21/1.63 flat ( 40) 1206987 1206987 0 91 3.6 K
% 1.21/1.63 discrim_pos ( 12) 32762 32762 0 1 0.0 K
% 1.21/1.63 fpa_head ( 12) 5501 0 5501 0 64.5 K
% 1.21/1.63 fpa_tree ( 28) 11116 11116 0 41 1.1 K
% 1.21/1.63 fpa_pos ( 36) 5243 5243 0 1 0.0 K
% 1.21/1.63 literal ( 12) 24129 21230 2899 1 34.0 K
% 1.21/1.63 clause ( 24) 24129 21230 2899 1 68.0 K
% 1.21/1.63 list ( 12) 2404 2348 56 3 0.7 K
% 1.21/1.63 list_pos ( 20) 11775 1650 10125 6 197.9 K
% 1.21/1.63 pair_index ( 40) 2 0 2 0 0.1 K
% 1.21/1.63
% 1.21/1.63 -------------- statistics -------------
% 1.21/1.63 Clauses input 10
% 1.21/1.63 Usable input 0
% 1.21/1.63 Sos input 10
% 1.21/1.63 Demodulators input 0
% 1.21/1.63 Passive input 0
% 1.21/1.63
% 1.21/1.63 Processed BS (before search) 12
% 1.21/1.63 Forward subsumed BS 2
% 1.21/1.63 Kept BS 10
% 1.21/1.63 New demodulators BS 7
% 1.21/1.63 Back demodulated BS 0
% 1.21/1.63
% 1.21/1.63 Clauses or pairs given 16112
% 1.21/1.63 Clauses generated 15623
% 1.21/1.63 Forward subsumed 12734
% 1.21/1.63 Deleted by weight 0
% 1.21/1.63 Deleted by variable count 0
% 1.21/1.63 Kept 2889
% 1.21/1.63 New demodulators 2338
% 1.21/1.63 Back demodulated 363
% 1.21/1.63 Ordered paramod prunes 0
% 1.21/1.63 Basic paramod prunes 40464
% 1.21/1.63 Prime paramod prunes 820
% 1.21/1.63 Semantic prunes 0
% 1.21/1.63
% 1.21/1.63 Rewrite attmepts 173200
% 1.21/1.63 Rewrites 28517
% 1.21/1.63
% 1.21/1.63 FPA overloads 0
% 1.21/1.63 FPA underloads 0
% 1.21/1.63
% 1.21/1.63 Usable size 0
% 1.21/1.63 Sos size 2535
% 1.21/1.63 Demodulators size 2157
% 1.21/1.63 Passive size 0
% 1.21/1.63 Disabled size 363
% 1.21/1.63
% 1.21/1.63 Proofs found 1
% 1.21/1.63
% 1.21/1.63 ----------- times (seconds) ----------- Thu Jun 30 13:13:39 2022
% 1.21/1.63
% 1.21/1.63 user CPU time 0.29 (0 hr, 0 min, 0 sec)
% 1.21/1.63 system CPU time 0.29 (0 hr, 0 min, 0 sec)
% 1.21/1.63 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.21/1.63 input time 0.00
% 1.21/1.63 paramodulation time 0.07
% 1.21/1.63 demodulation time 0.04
% 1.21/1.63 orient time 0.03
% 1.21/1.63 weigh time 0.01
% 1.21/1.63 forward subsume time 0.02
% 1.21/1.63 back demod find time 0.02
% 1.21/1.63 conflict time 0.00
% 1.21/1.63 LRPO time 0.02
% 1.21/1.63 store clause time 0.05
% 1.21/1.63 disable clause time 0.00
% 1.21/1.63 prime paramod time 0.02
% 1.21/1.63 semantics time 0.00
% 1.21/1.63
% 1.21/1.63 EQP interrupted
%------------------------------------------------------------------------------