TSTP Solution File: LAT044-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n015.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 04:34:26 EDT 2022
% Result : Unsatisfiable 4.35s 4.81s
% Output : Refutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 5 RR)
% Number of literals : 38 ( 0 equ; 4 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT044-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT044-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT044-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT044-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT044-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT044-1.p',unknown),
[] ).
cnf(9,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
file('LAT044-1.p',unknown),
[] ).
cnf(10,plain,
equal(complement(meet(A,B)),join(complement(A),complement(B))),
file('LAT044-1.p',unknown),
[] ).
cnf(11,plain,
equal(join(complement(A),A),n1),
file('LAT044-1.p',unknown),
[] ).
cnf(13,plain,
equal(complement(complement(A)),A),
file('LAT044-1.p',unknown),
[] ).
cnf(14,plain,
equal(join(A,meet(complement(A),join(A,B))),join(A,B)),
file('LAT044-1.p',unknown),
[] ).
cnf(15,plain,
~ equal(join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))),n1),
file('LAT044-1.p',unknown),
[] ).
cnf(16,plain,
equal(join(A,complement(A)),n1),
inference(para,[status(thm),theory(equality)],[13,11]),
[iquote('para(13,11)')] ).
cnf(18,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(19,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(22,plain,
equal(join(meet(A,B),A),A),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(26,plain,
equal(meet(A,n1),A),
inference(para,[status(thm),theory(equality)],[16,3]),
[iquote('para(16,3)')] ).
cnf(43,plain,
equal(join(A,join(B,C)),join(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[8,6]),
[iquote('para(8,6)')] ).
cnf(45,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,8]),8]),
[iquote('para(6,8),demod([8])')] ).
cnf(47,plain,
equal(join(n1,A),n1),
inference(para,[status(thm),theory(equality)],[26,18]),
[iquote('para(26,18)')] ).
cnf(49,plain,
equal(join(complement(A),join(A,B)),n1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,8]),47]),1]),
[iquote('para(11,8),demod([47]),flip(1)')] ).
cnf(68,plain,
~ equal(join(meet(join(a,b),complement(a)),join(complement(b),meet(a,b))),n1),
inference(para,[status(thm),theory(equality)],[5,15]),
[iquote('para(5,15)')] ).
cnf(74,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,4]),8]),
[iquote('para(18,4),demod([8])')] ).
cnf(79,plain,
equal(join(A,join(meet(B,A),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,8]),1]),
[iquote('para(19,8),flip(1)')] ).
cnf(86,plain,
equal(join(meet(A,B),meet(join(complement(A),complement(B)),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,14]),10,22]),
[iquote('para(22,14),demod([10,22])')] ).
cnf(88,plain,
equal(join(complement(A),join(B,A)),n1),
inference(para,[status(thm),theory(equality)],[6,49]),
[iquote('para(6,49)')] ).
cnf(176,plain,
equal(join(meet(complement(A),complement(B)),join(B,A)),n1),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[74,88]),9]),
[iquote('para(74,88),demod([9])')] ).
cnf(177,plain,
equal(join(meet(A,complement(B)),join(B,complement(A))),n1),
inference(para,[status(thm),theory(equality)],[13,176]),
[iquote('para(13,176)')] ).
cnf(180,plain,
equal(join(meet(A,B),join(complement(B),complement(A))),n1),
inference(para,[status(thm),theory(equality)],[13,177]),
[iquote('para(13,177)')] ).
cnf(231,plain,
equal(join(A,join(B,C)),join(C,join(B,A))),
inference(para,[status(thm),theory(equality)],[45,43]),
[iquote('para(45,43)')] ).
cnf(662,plain,
equal(join(A,meet(join(complement(B),complement(A)),B)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[86,79]),1]),
[iquote('para(86,79),flip(1)')] ).
cnf(5302,plain,
~ equal(join(meet(a,b),join(complement(b),meet(join(a,b),complement(a)))),n1),
inference(para,[status(thm),theory(equality)],[231,68]),
[iquote('para(231,68)')] ).
cnf(10110,plain,
equal(meet(complement(A),join(meet(B,A),complement(B))),meet(complement(A),complement(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[662,9]),9,10,9,13,13]),1]),
[iquote('para(662,9),demod([9,10,9,13,13]),flip(1)')] ).
cnf(10112,plain,
equal(meet(A,join(meet(B,complement(A)),complement(B))),meet(A,complement(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10110]),13]),
[iquote('para(13,10110),demod([13])')] ).
cnf(10115,plain,
equal(meet(A,join(meet(complement(B),complement(A)),B)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10112]),13]),
[iquote('para(13,10112),demod([13])')] ).
cnf(11174,plain,
equal(join(complement(A),meet(join(B,A),complement(B))),join(complement(A),complement(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10115,10]),10,9,10,13,13]),1]),
[iquote('para(10115,10),demod([10,9,10,13,13]),flip(1)')] ).
cnf(11175,plain,
~ equal(n1,n1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5302]),11174,180]),
[iquote('back_demod(5302),demod([11174,180])')] ).
cnf(11176,plain,
$false,
inference(conflict,[status(thm)],[11175]),
[iquote('xx_conflict(11175)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT044-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 : Thu Jun 30 00:15:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.35/4.81 ----- EQP 0.9e, May 2009 -----
% 4.35/4.81 The job began on n015.cluster.edu, Thu Jun 30 00:15:57 2022
% 4.35/4.81 The command was "./eqp09e".
% 4.35/4.81
% 4.35/4.81 set(prolog_style_variables).
% 4.35/4.81 set(lrpo).
% 4.35/4.81 set(basic_paramod).
% 4.35/4.81 set(functional_subsume).
% 4.35/4.81 set(ordered_paramod).
% 4.35/4.81 set(prime_paramod).
% 4.35/4.81 set(para_pairs).
% 4.35/4.81 assign(pick_given_ratio,4).
% 4.35/4.81 clear(print_kept).
% 4.35/4.81 clear(print_new_demod).
% 4.35/4.81 clear(print_back_demod).
% 4.35/4.81 clear(print_given).
% 4.35/4.81 assign(max_mem,64000).
% 4.35/4.81 end_of_commands.
% 4.35/4.81
% 4.35/4.81 Usable:
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Sos:
% 4.35/4.81 0 (wt=-1) [] meet(A,A) = A.
% 4.35/4.81 0 (wt=-1) [] join(A,A) = A.
% 4.35/4.81 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 4.35/4.81 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 4.35/4.81 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 4.35/4.81 0 (wt=-1) [] join(A,B) = join(B,A).
% 4.35/4.81 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 4.35/4.81 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 4.35/4.81 0 (wt=-1) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 4.35/4.81 0 (wt=-1) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 4.35/4.81 0 (wt=-1) [] join(complement(A),A) = n1.
% 4.35/4.81 0 (wt=-1) [] meet(complement(A),A) = n0.
% 4.35/4.81 0 (wt=-1) [] complement(complement(A)) = A.
% 4.35/4.81 0 (wt=-1) [] join(A,meet(complement(A),join(A,B))) = join(A,B).
% 4.35/4.81 0 (wt=-1) [] -(join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) = n1).
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Demodulators:
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Passive:
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Starting to process input.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 4.35/4.81 1 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 4.35/4.81 2 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 4.35/4.81 3 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 4.35/4.81 4 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 4.35/4.81 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 4.35/4.81
% 4.35/4.81 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 4.35/4.81 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 4.35/4.81
% 4.35/4.81 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 4.35/4.81 7 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 4.35/4.81 8 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 4.35/4.81 9 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 4.35/4.81 10 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 11 (wt=6) [] join(complement(A),A) = n1.
% 4.35/4.81 11 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 12 (wt=6) [] meet(complement(A),A) = n0.
% 4.35/4.81 12 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 13 (wt=5) [] complement(complement(A)) = A.
% 4.35/4.81 13 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 14 (wt=12) [] join(A,meet(complement(A),join(A,B))) = join(A,B).
% 4.35/4.81 14 is a new demodulator.
% 4.35/4.81
% 4.35/4.81 ** KEPT: 15 (wt=15) [] -(join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) = n1).
% 4.35/4.81 ---------------- PROOF FOUND ----------------
% 4.35/4.81 % SZS status Unsatisfiable
% 4.35/4.81
% 4.35/4.81
% 4.35/4.81 After processing input:
% 4.35/4.81
% 4.35/4.81 Usable:
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Sos:
% 4.35/4.81 1 (wt=5) [] meet(A,A) = A.
% 4.35/4.81 2 (wt=5) [] join(A,A) = A.
% 4.35/4.81 13 (wt=5) [] complement(complement(A)) = A.
% 4.35/4.81 11 (wt=6) [] join(complement(A),A) = n1.
% 4.35/4.81 12 (wt=6) [] meet(complement(A),A) = n0.
% 4.35/4.81 3 (wt=7) [] meet(A,join(A,B)) = A.
% 4.35/4.81 4 (wt=7) [] join(A,meet(A,B)) = A.
% 4.35/4.81 5 (wt=7) [] meet(A,B) = meet(B,A).
% 4.35/4.81 6 (wt=7) [] join(A,B) = join(B,A).
% 4.35/4.81 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 4.35/4.81 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 4.35/4.81 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 4.35/4.81 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 4.35/4.81 14 (wt=12) [] join(A,meet(complement(A),join(A,B))) = join(A,B).
% 4.35/4.81 15 (wt=15) [] -(join(meet(complement(a),join(a,b)),join(complement(b),meet(a,b))) = n1).
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Demodulators:
% 4.35/4.81 1 (wt=5) [] meet(A,A) = A.
% 4.35/4.81 2 (wt=5) [] join(A,A) = A.
% 4.35/4.81 3 (wt=7) [] meet(A,join(A,B)) = A.
% 4.35/4.81 4 (wt=7) [] join(A,meet(A,B)) = A.
% 4.35/4.81 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 4.35/4.81 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 4.35/4.81 9 (wt=10) [] complement(join(A,B)) = meet(complement(A),complement(B)).
% 4.35/4.81 10 (wt=10) [] complement(meet(A,B)) = join(complement(A),complement(B)).
% 4.35/4.81 11 (wt=6) [] join(complement(A),A) = n1.
% 4.35/4.81 12 (wt=6) [] meet(complement(A),A) = n0.
% 4.35/4.81 13 (wt=5) [] complement(complement(A)) = A.
% 4.35/4.81 14 (wt=12) [] join(A,meet(complement(A),join(A,B))) = join(A,B).
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 Passive:
% 4.35/4.81 end_of_list.
% 4.35/4.81
% 4.35/4.81 UNIT CONFLICT from 11175 and x=x at 2.15 seconds.
% 4.35/4.81
% 4.35/4.81 ---------------- PROOF ----------------
% 4.35/4.81 % SZS output start Refutation
% See solution above
% 4.35/4.81 ------------ end of proof -------------
% 4.35/4.81
% 4.35/4.81
% 4.35/4.81 ------------- memory usage ------------
% 4.35/4.81 Memory dynamically allocated (tp_alloc): 16113.
% 4.35/4.81 type (bytes each) gets frees in use avail bytes
% 4.35/4.81 sym_ent ( 96) 58 0 58 0 5.4 K
% 4.35/4.81 term ( 16) 4103267 3878938 224329 20 4338.2 K
% 4.35/4.81 gen_ptr ( 8) 1932173 915195 1016978 37 7945.4 K
% 4.35/4.81 context ( 808) 3489320 3489318 2 6 6.3 K
% 4.35/4.81 trail ( 12) 203549 203549 0 6 0.1 K
% 4.35/4.81 bt_node ( 68) 1437230 1437227 3 20 1.5 K
% 4.35/4.81 ac_position (285432) 0 0 0 0 0.0 K
% 4.35/4.81 ac_match_pos (14044) 0 0 0 0 0.0 K
% 4.35/4.81 ac_match_free_vars_pos (4020)
% 4.35/4.81 0 0 0 0 0.0 K
% 4.35/4.81 discrim ( 12) 146158 11654 134504 6 1576.3 K
% 4.35/4.81 flat ( 40) 7256448 7256448 0 63 2.5 K
% 4.35/4.81 discrim_pos ( 12) 347355 347355 0 1 0.0 K
% 4.35/4.81 fpa_head ( 12) 7237 0 7237 0 84.8 K
% 4.35/4.81 fpa_tree ( 28) 62204 62204 0 33 0.9 K
% 4.35/4.81 fpa_pos ( 36) 20997 20997 0 1 0.0 K
% 4.35/4.81 literal ( 12) 147767 136592 11175 0 131.0 K
% 4.35/4.81 clause ( 24) 147767 136592 11175 0 261.9 K
% 4.35/4.81 list ( 12) 9882 9825 57 2 0.7 K
% 4.35/4.81 list_pos ( 20) 45594 5289 40305 3 787.3 K
% 4.35/4.81 pair_index ( 40) 2 0 2 0 0.1 K
% 4.35/4.81
% 4.35/4.81 -------------- statistics -------------
% 4.35/4.81 Clauses input 15
% 4.35/4.81 Usable input 0
% 4.35/4.81 Sos input 15
% 4.35/4.81 Demodulators input 0
% 4.35/4.81 Passive input 0
% 4.35/4.81
% 4.35/4.81 Processed BS (before search) 17
% 4.35/4.81 Forward subsumed BS 2
% 4.35/4.81 Kept BS 15
% 4.35/4.81 New demodulators BS 12
% 4.35/4.81 Back demodulated BS 0
% 4.35/4.81
% 4.35/4.81 Clauses or pairs given 156514
% 4.35/4.81 Clauses generated 126946
% 4.35/4.81 Forward subsumed 115786
% 4.35/4.81 Deleted by weight 0
% 4.35/4.81 Deleted by variable count 0
% 4.35/4.81 Kept 11160
% 4.35/4.81 New demodulators 9811
% 4.35/4.81 Back demodulated 1117
% 4.35/4.81 Ordered paramod prunes 0
% 4.35/4.81 Basic paramod prunes 429904
% 4.35/4.81 Prime paramod prunes 16990
% 4.35/4.81 Semantic prunes 0
% 4.35/4.81
% 4.35/4.81 Rewrite attmepts 1524723
% 4.35/4.81 Rewrites 323354
% 4.35/4.81
% 4.35/4.81 FPA overloads 0
% 4.35/4.81 FPA underloads 0
% 4.35/4.81
% 4.35/4.81 Usable size 0
% 4.35/4.81 Sos size 10057
% 4.35/4.81 Demodulators size 9017
% 4.35/4.81 Passive size 0
% 4.35/4.81 Disabled size 1117
% 4.35/4.81
% 4.35/4.81 Proofs found 1
% 4.35/4.81
% 4.35/4.81 ----------- times (seconds) ----------- Thu Jun 30 00:16:01 2022
% 4.35/4.81
% 4.35/4.81 user CPU time 2.15 (0 hr, 0 min, 2 sec)
% 4.35/4.81 system CPU time 1.60 (0 hr, 0 min, 1 sec)
% 4.35/4.81 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.35/4.81 input time 0.00
% 4.35/4.81 paramodulation time 0.42
% 4.35/4.81 demodulation time 0.25
% 4.35/4.81 orient time 0.18
% 4.35/4.81 weigh time 0.04
% 4.35/4.81 forward subsume time 0.05
% 4.35/4.81 back demod find time 0.20
% 4.35/4.81 conflict time 0.01
% 4.35/4.81 LRPO time 0.07
% 4.35/4.81 store clause time 0.58
% 4.35/4.81 disable clause time 0.06
% 4.35/4.81 prime paramod time 0.12
% 4.35/4.81 semantics time 0.00
% 4.35/4.81
% 4.35/4.81 EQP interrupted
%------------------------------------------------------------------------------