TSTP Solution File: LAT042-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n007.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 04:34:25 EDT 2022
% Result : Unsatisfiable 0.87s 1.24s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 6 RR)
% Number of literals : 15 ( 0 equ; 5 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 : 21 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT042-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT042-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT042-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT042-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,C)),join(meet(A,B),meet(A,C))),
file('LAT042-1.p',unknown),
[] ).
cnf(13,plain,
~ equal(join(meet(join(a,b),a),meet(join(a,b),c)),join(a,join(meet(b,a),meet(b,c)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9,9]),1]),
[iquote('demod([9,9]),flip(1)')] ).
cnf(16,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(39,plain,
equal(join(meet(A,B),meet(A,C)),meet(join(B,C),A)),
inference(para,[status(thm),theory(equality)],[9,5]),
[iquote('para(9,5)')] ).
cnf(51,plain,
~ equal(join(meet(join(a,b),a),join(meet(c,a),meet(c,b))),join(a,join(meet(b,a),meet(b,c)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,13]),9]),
[iquote('para(5,13),demod([9])')] ).
cnf(61,plain,
equal(join(A,join(meet(B,A),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,8]),1]),
[iquote('para(16,8),flip(1)')] ).
cnf(64,plain,
~ equal(join(meet(join(a,b),a),join(meet(c,a),meet(c,b))),join(a,meet(b,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[51]),61]),
[iquote('back_demod(51),demod([61])')] ).
cnf(182,plain,
equal(meet(join(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,39]),4]),1]),
[iquote('para(1,39),demod([4]),flip(1)')] ).
cnf(192,plain,
~ equal(join(a,meet(c,b)),join(a,meet(b,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),182,61]),
[iquote('back_demod(64),demod([182,61])')] ).
cnf(598,plain,
~ equal(join(a,meet(b,c)),join(a,meet(b,c))),
inference(para,[status(thm),theory(equality)],[5,192]),
[iquote('para(5,192)')] ).
cnf(599,plain,
$false,
inference(conflict,[status(thm)],[598]),
[iquote('xx_conflict(598)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 19:03:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.24 ----- EQP 0.9e, May 2009 -----
% 0.87/1.24 The job began on n007.cluster.edu, Tue Jun 28 19:03:37 2022
% 0.87/1.24 The command was "./eqp09e".
% 0.87/1.24
% 0.87/1.24 set(prolog_style_variables).
% 0.87/1.24 set(lrpo).
% 0.87/1.24 set(basic_paramod).
% 0.87/1.24 set(functional_subsume).
% 0.87/1.24 set(ordered_paramod).
% 0.87/1.24 set(prime_paramod).
% 0.87/1.24 set(para_pairs).
% 0.87/1.24 assign(pick_given_ratio,4).
% 0.87/1.24 clear(print_kept).
% 0.87/1.24 clear(print_new_demod).
% 0.87/1.24 clear(print_back_demod).
% 0.87/1.24 clear(print_given).
% 0.87/1.24 assign(max_mem,64000).
% 0.87/1.24 end_of_commands.
% 0.87/1.24
% 0.87/1.24 Usable:
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Sos:
% 0.87/1.24 0 (wt=-1) [] meet(A,A) = A.
% 0.87/1.24 0 (wt=-1) [] join(A,A) = A.
% 0.87/1.24 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.87/1.24 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.87/1.24 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.87/1.24 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.87/1.24 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.87/1.24 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.87/1.24 0 (wt=-1) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.87/1.24 0 (wt=-1) [] join(complement(A),A) = n1.
% 0.87/1.24 0 (wt=-1) [] meet(complement(A),A) = n0.
% 0.87/1.24 0 (wt=-1) [] complement(complement(A)) = A.
% 0.87/1.24 0 (wt=-1) [] -(join(a,meet(b,join(a,c))) = meet(join(a,b),join(a,c))).
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Demodulators:
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Passive:
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Starting to process input.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.87/1.24 1 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.87/1.24 2 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.87/1.24 3 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.87/1.24 4 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.87/1.24 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 0.87/1.24
% 0.87/1.24 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 0.87/1.24 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 0.87/1.24
% 0.87/1.24 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.87/1.24 7 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.87/1.24 8 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.87/1.24 9 is a new demodulator.
% 0.87/1.24 -> 9 back demodulating 3.
% 0.87/1.24 clause forward subsumed: 0 (wt=3) [back_demod(3),demod([9,1,4])] A = A.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 10 (wt=6) [] join(complement(A),A) = n1.
% 0.87/1.24 10 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 11 (wt=6) [] meet(complement(A),A) = n0.
% 0.87/1.24 11 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 12 (wt=5) [] complement(complement(A)) = A.
% 0.87/1.24 12 is a new demodulator.
% 0.87/1.24
% 0.87/1.24 ** KEPT: 13 (wt=21) [demod([9,9]),flip(1)] -(join(meet(join(a,b),a),meet(join(a,b),c)) = join(a,join(meet(b,a),meet(b,c)))).
% 0.87/1.24 ---------------- PROOF FOUND ----------------
% 0.87/1.24 % SZS status Unsatisfiable
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 After processing input:
% 0.87/1.24
% 0.87/1.24 Usable:
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Sos:
% 0.87/1.24 1 (wt=5) [] meet(A,A) = A.
% 0.87/1.24 2 (wt=5) [] join(A,A) = A.
% 0.87/1.24 12 (wt=5) [] complement(complement(A)) = A.
% 0.87/1.24 10 (wt=6) [] join(complement(A),A) = n1.
% 0.87/1.24 11 (wt=6) [] meet(complement(A),A) = n0.
% 0.87/1.24 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.87/1.24 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.87/1.24 6 (wt=7) [] join(A,B) = join(B,A).
% 0.87/1.24 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.87/1.24 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.87/1.24 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.87/1.24 13 (wt=21) [demod([9,9]),flip(1)] -(join(meet(join(a,b),a),meet(join(a,b),c)) = join(a,join(meet(b,a),meet(b,c)))).
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Demodulators:
% 0.87/1.24 1 (wt=5) [] meet(A,A) = A.
% 0.87/1.24 2 (wt=5) [] join(A,A) = A.
% 0.87/1.24 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.87/1.24 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.87/1.24 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.87/1.24 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.87/1.24 10 (wt=6) [] join(complement(A),A) = n1.
% 0.87/1.24 11 (wt=6) [] meet(complement(A),A) = n0.
% 0.87/1.24 12 (wt=5) [] complement(complement(A)) = A.
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 Passive:
% 0.87/1.24 end_of_list.
% 0.87/1.24
% 0.87/1.24 UNIT CONFLICT from 598 and x=x at 0.06 seconds.
% 0.87/1.24
% 0.87/1.24 ---------------- PROOF ----------------
% 0.87/1.24 % SZS output start Refutation
% See solution above
% 0.87/1.24 ------------ end of proof -------------
% 0.87/1.24
% 0.87/1.24
% 0.87/1.24 ------------- memory usage ------------
% 0.87/1.24 Memory dynamically allocated (tp_alloc): 976.
% 0.87/1.24 type (bytes each) gets frees in use avail bytes
% 0.87/1.24 sym_ent ( 96) 59 0 59 0 5.5 K
% 0.87/1.24 term ( 16) 77741 68569 9172 29 177.4 K
% 0.87/1.24 gen_ptr ( 8) 54784 20485 34299 14 268.1 K
% 0.87/1.24 context ( 808) 69692 69690 2 4 4.7 K
% 0.87/1.24 trail ( 12) 6611 6611 0 6 0.1 K
% 0.87/1.24 bt_node ( 68) 30886 30883 3 10 0.9 K
% 0.87/1.24 ac_position (285432) 0 0 0 0 0.0 K
% 0.87/1.24 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.87/1.24 ac_match_free_vars_pos (4020)
% 0.87/1.24 0 0 0 0 0.0 K
% 0.87/1.24 discrim ( 12) 5986 1007 4979 0 58.3 K
% 0.87/1.24 flat ( 40) 119038 119038 0 31 1.2 K
% 0.87/1.24 discrim_pos ( 12) 5934 5934 0 1 0.0 K
% 0.87/1.24 fpa_head ( 12) 1264 0 1264 0 14.8 K
% 0.87/1.24 fpa_tree ( 28) 1459 1459 0 29 0.8 K
% 0.87/1.24 fpa_pos ( 36) 996 996 0 1 0.0 K
% 0.87/1.24 literal ( 12) 4569 3971 598 1 7.0 K
% 0.87/1.24 clause ( 24) 4569 3971 598 1 14.0 K
% 0.87/1.24 list ( 12) 458 402 56 3 0.7 K
% 0.87/1.24 list_pos ( 20) 2385 433 1952 0 38.1 K
% 0.87/1.24 pair_index ( 40) 2 0 2 0 0.1 K
% 0.87/1.24
% 0.87/1.24 -------------- statistics -------------
% 0.87/1.24 Clauses input 13
% 0.87/1.24 Usable input 0
% 0.87/1.24 Sos input 13
% 0.87/1.24 Demodulators input 0
% 0.87/1.24 Passive input 0
% 0.87/1.24
% 0.87/1.24 Processed BS (before search) 16
% 0.87/1.24 Forward subsumed BS 3
% 0.87/1.24 Kept BS 13
% 0.87/1.24 New demodulators BS 10
% 0.87/1.24 Back demodulated BS 1
% 0.87/1.24
% 0.87/1.24 Clauses or pairs given 6258
% 0.87/1.24 Clauses generated 3425
% 0.87/1.24 Forward subsumed 2840
% 0.87/1.24 Deleted by weight 0
% 0.87/1.24 Deleted by variable count 0
% 0.87/1.24 Kept 585
% 0.87/1.24 New demodulators 389
% 0.87/1.24 Back demodulated 90
% 0.87/1.24 Ordered paramod prunes 0
% 0.87/1.24 Basic paramod prunes 12852
% 0.87/1.24 Prime paramod prunes 333
% 0.87/1.24 Semantic prunes 0
% 0.87/1.24
% 0.87/1.24 Rewrite attmepts 27260
% 0.87/1.24 Rewrites 5233
% 0.87/1.24
% 0.87/1.24 FPA overloads 0
% 0.87/1.24 FPA underloads 0
% 0.87/1.24
% 0.87/1.24 Usable size 0
% 0.87/1.24 Sos size 506
% 0.87/1.24 Demodulators size 343
% 0.87/1.24 Passive size 0
% 0.87/1.24 Disabled size 91
% 0.87/1.24
% 0.87/1.24 Proofs found 1
% 0.87/1.24
% 0.87/1.24 ----------- times (seconds) ----------- Tue Jun 28 19:03:38 2022
% 0.87/1.24
% 0.87/1.24 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 0.87/1.24 system CPU time 0.09 (0 hr, 0 min, 0 sec)
% 0.87/1.24 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.87/1.24 input time 0.00
% 0.87/1.24 paramodulation time 0.01
% 0.87/1.24 demodulation time 0.01
% 0.87/1.24 orient time 0.01
% 0.87/1.24 weigh time 0.00
% 0.87/1.24 forward subsume time 0.01
% 0.87/1.24 back demod find time 0.00
% 0.87/1.24 conflict time 0.00
% 0.87/1.24 LRPO time 0.00
% 0.87/1.24 store clause time 0.00
% 0.87/1.24 disable clause time 0.00
% 0.87/1.24 prime paramod time 0.00
% 0.87/1.24 semantics time 0.00
% 0.87/1.24
% 0.87/1.24 EQP interrupted
%------------------------------------------------------------------------------