TSTP Solution File: LAT148-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT148-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 04:34:56 EDT 2022
% Result : Unsatisfiable 9.52s 9.91s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 5 RR)
% Number of literals : 45 ( 0 equ; 4 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 : 115 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT148-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT148-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT148-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT148-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT148-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT148-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT148-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,meet(C,join(B,meet(D,join(B,C)))))),meet(A,join(B,meet(C,D)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),meet(a,join(b,meet(a,c)))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
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(17,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,4]),8]),
[iquote('para(11,4),demod([8])')] ).
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(20,plain,
equal(join(meet(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,6]),1]),
[iquote('para(12,6),flip(1)')] ).
cnf(24,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(31,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(35,plain,
equal(meet(join(A,B),join(B,A)),join(A,B)),
inference(para,[status(thm),theory(equality)],[17,13]),
[iquote('para(17,13)')] ).
cnf(40,plain,
equal(meet(A,join(B,meet(C,join(B,meet(D,join(C,B)))))),meet(A,join(B,meet(C,D)))),
inference(para,[status(thm),theory(equality)],[6,9]),
[iquote('para(6,9)')] ).
cnf(55,plain,
~ equal(meet(a,join(meet(a,join(meet(a,b),meet(c,join(a,b)))),b)),meet(a,join(b,meet(a,c)))),
inference(para,[status(thm),theory(equality)],[6,10]),
[iquote('para(6,10)')] ).
cnf(58,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(59,plain,
equal(join(A,meet(B,meet(C,A))),A),
inference(para,[status(thm),theory(equality)],[7,12]),
[iquote('para(7,12)')] ).
cnf(60,plain,
equal(join(A,join(B,meet(C,A))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,59]),8]),
[iquote('para(3,59),demod([8])')] ).
cnf(68,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[8,13]),
[iquote('para(8,13)')] ).
cnf(71,plain,
equal(join(meet(A,B),join(A,C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,8]),1]),
[iquote('para(14,8),flip(1)')] ).
cnf(73,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,68]),7]),
[iquote('para(4,68),demod([7])')] ).
cnf(105,plain,
equal(join(meet(A,B),join(C,B)),join(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,31]),1]),
[iquote('para(12,31),flip(1)')] ).
cnf(170,plain,
equal(join(A,join(B,C)),join(C,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,31]),8,17]),
[iquote('para(17,31),demod([8,17])')] ).
cnf(173,plain,
equal(meet(join(A,B),join(B,join(A,C))),join(A,B)),
inference(para,[status(thm),theory(equality)],[170,13]),
[iquote('para(170,13)')] ).
cnf(233,plain,
equal(meet(join(A,B),meet(C,join(B,A))),meet(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[17,73]),
[iquote('para(17,73)')] ).
cnf(268,plain,
equal(meet(A,join(B,C)),meet(join(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,24]),233]),
[iquote('para(35,24),demod([233])')] ).
cnf(331,plain,
equal(meet(A,join(B,meet(C,join(meet(D,join(C,B)),B)))),meet(A,join(B,meet(C,D)))),
inference(para,[status(thm),theory(equality)],[6,40]),
[iquote('para(6,40)')] ).
cnf(451,plain,
equal(join(meet(A,join(B,C)),join(D,meet(B,A))),join(meet(A,join(B,C)),D)),
inference(para,[status(thm),theory(equality)],[58,60]),
[iquote('para(58,60)')] ).
cnf(1985,plain,
equal(meet(join(meet(A,B),C),join(C,join(A,D))),join(meet(A,B),C)),
inference(para,[status(thm),theory(equality)],[71,173]),
[iquote('para(71,173)')] ).
cnf(4867,plain,
equal(meet(join(meet(A,B),meet(C,join(A,D))),join(A,D)),join(meet(A,B),meet(C,join(A,D)))),
inference(para,[status(thm),theory(equality)],[20,1985]),
[iquote('para(20,1985)')] ).
cnf(13393,plain,
~ equal(meet(join(b,meet(a,join(meet(a,b),meet(c,join(a,b))))),a),meet(a,join(b,meet(a,c)))),
inference(para,[status(thm),theory(equality)],[268,55]),
[iquote('para(268,55)')] ).
cnf(15657,plain,
equal(meet(A,meet(join(meet(B,join(A,C)),C),join(C,meet(A,B)))),meet(A,join(meet(B,join(A,C)),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[331,13]),7]),
[iquote('para(331,13),demod([7])')] ).
cnf(15866,plain,
equal(meet(join(A,meet(B,C)),join(meet(C,join(B,D)),A)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[451,13]),
[iquote('para(451,13)')] ).
cnf(23175,plain,
equal(meet(join(meet(A,join(B,C)),D),join(D,meet(B,A))),join(D,meet(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15866,5]),1]),
[iquote('para(15866,5),flip(1)')] ).
cnf(23176,plain,
equal(meet(A,join(B,meet(A,C))),meet(A,join(meet(C,join(A,B)),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15657]),23175]),
[iquote('back_demod(15657),demod([23175])')] ).
cnf(23177,plain,
equal(meet(A,join(meet(B,join(A,C)),C)),meet(A,join(C,meet(A,B)))),
inference(flip,[status(thm),theory(equality)],[23176]),
[iquote('flip(23176)')] ).
cnf(23179,plain,
equal(meet(join(A,meet(B,C)),B),meet(B,join(meet(C,join(B,A)),A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23176,5]),1]),
[iquote('para(23176,5),flip(1)')] ).
cnf(23295,plain,
~ equal(meet(a,join(meet(c,join(a,b)),b)),meet(a,join(b,meet(a,c)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13393]),23179,4867,8,105]),
[iquote('back_demod(13393),demod([23179,4867,8,105])')] ).
cnf(23296,plain,
$false,
inference(conflict,[status(thm)],[23295,23177]),
[iquote('conflict(23295,23177)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT148-1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n017.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 : Tue Jun 28 17:12:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.52/9.91 ----- EQP 0.9e, May 2009 -----
% 9.52/9.91 The job began on n017.cluster.edu, Tue Jun 28 17:12:52 2022
% 9.52/9.91 The command was "./eqp09e".
% 9.52/9.91
% 9.52/9.91 set(prolog_style_variables).
% 9.52/9.91 set(lrpo).
% 9.52/9.91 set(basic_paramod).
% 9.52/9.91 set(functional_subsume).
% 9.52/9.91 set(ordered_paramod).
% 9.52/9.91 set(prime_paramod).
% 9.52/9.91 set(para_pairs).
% 9.52/9.91 assign(pick_given_ratio,4).
% 9.52/9.91 clear(print_kept).
% 9.52/9.91 clear(print_new_demod).
% 9.52/9.91 clear(print_back_demod).
% 9.52/9.91 clear(print_given).
% 9.52/9.91 assign(max_mem,64000).
% 9.52/9.91 end_of_commands.
% 9.52/9.91
% 9.52/9.91 Usable:
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Sos:
% 9.52/9.91 0 (wt=-1) [] meet(A,A) = A.
% 9.52/9.91 0 (wt=-1) [] join(A,A) = A.
% 9.52/9.91 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 9.52/9.91 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 9.52/9.91 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 9.52/9.91 0 (wt=-1) [] join(A,B) = join(B,A).
% 9.52/9.91 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 9.52/9.91 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 9.52/9.91 0 (wt=-1) [] meet(A,join(B,meet(C,D))) = meet(A,join(B,meet(C,join(B,meet(D,join(B,C)))))).
% 9.52/9.91 0 (wt=-1) [] -(meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b))))))).
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Demodulators:
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Passive:
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Starting to process input.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 9.52/9.91 1 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 9.52/9.91 2 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 9.52/9.91 3 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 9.52/9.91 4 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 9.52/9.91 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 9.52/9.91
% 9.52/9.91 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 9.52/9.91 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 9.52/9.91
% 9.52/9.91 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 9.52/9.91 7 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 9.52/9.91 8 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 9 (wt=21) [flip(1)] meet(A,join(B,meet(C,join(B,meet(D,join(B,C)))))) = meet(A,join(B,meet(C,D))).
% 9.52/9.91 9 is a new demodulator.
% 9.52/9.91
% 9.52/9.91 ** KEPT: 10 (wt=23) [flip(1)] -(meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) = meet(a,join(b,meet(a,c)))).
% 9.52/9.91 ---------------- PROOF FOUND ----------------
% 9.52/9.91 % SZS status Unsatisfiable
% 9.52/9.91
% 9.52/9.91
% 9.52/9.91 After processing input:
% 9.52/9.91
% 9.52/9.91 Usable:
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Sos:
% 9.52/9.91 1 (wt=5) [] meet(A,A) = A.
% 9.52/9.91 2 (wt=5) [] join(A,A) = A.
% 9.52/9.91 3 (wt=7) [] meet(A,join(A,B)) = A.
% 9.52/9.91 4 (wt=7) [] join(A,meet(A,B)) = A.
% 9.52/9.91 5 (wt=7) [] meet(A,B) = meet(B,A).
% 9.52/9.91 6 (wt=7) [] join(A,B) = join(B,A).
% 9.52/9.91 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 9.52/9.91 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 9.52/9.91 9 (wt=21) [flip(1)] meet(A,join(B,meet(C,join(B,meet(D,join(B,C)))))) = meet(A,join(B,meet(C,D))).
% 9.52/9.91 10 (wt=23) [flip(1)] -(meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) = meet(a,join(b,meet(a,c)))).
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Demodulators:
% 9.52/9.91 1 (wt=5) [] meet(A,A) = A.
% 9.52/9.91 2 (wt=5) [] join(A,A) = A.
% 9.52/9.91 3 (wt=7) [] meet(A,join(A,B)) = A.
% 9.52/9.91 4 (wt=7) [] join(A,meet(A,B)) = A.
% 9.52/9.91 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 9.52/9.91 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 9.52/9.91 9 (wt=21) [flip(1)] meet(A,join(B,meet(C,join(B,meet(D,join(B,C)))))) = meet(A,join(B,meet(C,D))).
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 Passive:
% 9.52/9.91 end_of_list.
% 9.52/9.91
% 9.52/9.91 UNIT CONFLICT from 23295 and 23177 at 7.25 seconds.
% 9.52/9.91
% 9.52/9.91 ---------------- PROOF ----------------
% 9.52/9.91 % SZS output start Refutation
% See solution above
% 9.52/9.91 ------------ end of proof -------------
% 9.52/9.91
% 9.52/9.91
% 9.52/9.91 ------------- memory usage ------------
% 9.52/9.91 Memory dynamically allocated (tp_alloc): 40039.
% 9.52/9.91 type (bytes each) gets frees in use avail bytes
% 9.52/9.91 sym_ent ( 96) 57 0 57 0 5.3 K
% 9.52/9.91 term ( 16) 5649438 5062539 586899 26 11372.4 K
% 9.52/9.91 gen_ptr ( 8) 3558500 894980 2663520 44 20809.1 K
% 9.52/9.91 context ( 808) 3254480 3254478 2 8 7.9 K
% 9.52/9.91 trail ( 12) 1215046 1215046 0 9 0.1 K
% 9.52/9.91 bt_node ( 68) 1153348 1153345 3 20 1.5 K
% 9.52/9.91 ac_position (285432) 0 0 0 0 0.0 K
% 9.52/9.91 ac_match_pos (14044) 0 0 0 0 0.0 K
% 9.52/9.91 ac_match_free_vars_pos (4020)
% 9.52/9.91 0 0 0 0 0.0 K
% 9.52/9.91 discrim ( 12) 382448 42257 340191 1108 3999.6 K
% 9.52/9.91 flat ( 40) 12469747 12469747 0 73 2.9 K
% 9.52/9.91 discrim_pos ( 12) 279543 279543 0 1 0.0 K
% 9.52/9.91 fpa_head ( 12) 15738 0 15738 0 184.4 K
% 9.52/9.91 fpa_tree ( 28) 66996 66996 0 49 1.3 K
% 9.52/9.91 fpa_pos ( 36) 42190 42190 0 1 0.0 K
% 9.52/9.91 literal ( 12) 224152 200857 23295 0 273.0 K
% 9.52/9.91 clause ( 24) 224152 200857 23295 0 546.0 K
% 9.52/9.91 list ( 12) 18954 18897 57 3 0.7 K
% 9.52/9.91 list_pos ( 20) 93845 11411 82434 145 1612.9 K
% 9.52/9.91 pair_index ( 40) 2 0 2 0 0.1 K
% 9.52/9.91
% 9.52/9.91 -------------- statistics -------------
% 9.52/9.91 Clauses input 10
% 9.52/9.91 Usable input 0
% 9.52/9.91 Sos input 10
% 9.52/9.91 Demodulators input 0
% 9.52/9.91 Passive input 0
% 9.52/9.91
% 9.52/9.91 Processed BS (before search) 12
% 9.52/9.91 Forward subsumed BS 2
% 9.52/9.91 Kept BS 10
% 9.52/9.91 New demodulators BS 7
% 9.52/9.91 Back demodulated BS 0
% 9.52/9.91
% 9.52/9.91 Clauses or pairs given 143658
% 9.52/9.91 Clauses generated 144640
% 9.52/9.91 Forward subsumed 121355
% 9.52/9.91 Deleted by weight 0
% 9.52/9.91 Deleted by variable count 0
% 9.52/9.91 Kept 23285
% 9.52/9.91 New demodulators 18888
% 9.52/9.91 Back demodulated 2488
% 9.52/9.91 Ordered paramod prunes 0
% 9.52/9.91 Basic paramod prunes 494818
% 9.52/9.91 Prime paramod prunes 9934
% 9.52/9.91 Semantic prunes 0
% 9.52/9.91
% 9.52/9.91 Rewrite attmepts 1613892
% 9.52/9.91 Rewrites 230285
% 9.52/9.91
% 9.52/9.91 FPA overloads 0
% 9.52/9.91 FPA underloads 0
% 9.52/9.91
% 9.52/9.91 Usable size 0
% 9.52/9.91 Sos size 20806
% 9.52/9.91 Demodulators size 17452
% 9.52/9.91 Passive size 0
% 9.52/9.91 Disabled size 2488
% 9.52/9.91
% 9.52/9.91 Proofs found 1
% 9.52/9.91
% 9.52/9.91 ----------- times (seconds) ----------- Tue Jun 28 17:13:01 2022
% 9.52/9.91
% 9.52/9.91 user CPU time 7.25 (0 hr, 0 min, 7 sec)
% 9.52/9.91 system CPU time 1.69 (0 hr, 0 min, 1 sec)
% 9.52/9.91 wall-clock time 9 (0 hr, 0 min, 9 sec)
% 9.52/9.91 input time 0.00
% 9.52/9.91 paramodulation time 0.68
% 9.52/9.91 demodulation time 0.45
% 9.52/9.91 orient time 0.27
% 9.52/9.91 weigh time 0.06
% 9.52/9.91 forward subsume time 0.17
% 9.52/9.91 back demod find time 1.40
% 9.52/9.91 conflict time 0.03
% 9.52/9.91 LRPO time 0.13
% 9.52/9.91 store clause time 3.36
% 9.52/9.91 disable clause time 0.29
% 9.52/9.91 prime paramod time 0.25
% 9.52/9.91 semantics time 0.00
% 9.52/9.91
% 9.52/9.91 EQP interrupted
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