TSTP Solution File: LAT014-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n011.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 04:34:16 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
equal(meet(A,join(B,join(A,C))),A),
file('LAT014-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(join(meet(A,B),meet(B,C)),B),B),
file('LAT014-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(meet(a,join(a,b)),a),
file('LAT014-1.p',unknown),
[] ).
cnf(14,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(15,plain,
$false,
inference(conflict,[status(thm)],[14,5]),
[iquote('conflict(14,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT014-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n011.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 : Wed Jun 29 15:32:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.07 ----- EQP 0.9e, May 2009 -----
% 0.43/1.07 The job began on n011.cluster.edu, Wed Jun 29 15:32:33 2022
% 0.43/1.07 The command was "./eqp09e".
% 0.43/1.07
% 0.43/1.07 set(prolog_style_variables).
% 0.43/1.07 set(lrpo).
% 0.43/1.07 set(basic_paramod).
% 0.43/1.07 set(functional_subsume).
% 0.43/1.07 set(ordered_paramod).
% 0.43/1.07 set(prime_paramod).
% 0.43/1.07 set(para_pairs).
% 0.43/1.07 assign(pick_given_ratio,4).
% 0.43/1.07 clear(print_kept).
% 0.43/1.07 clear(print_new_demod).
% 0.43/1.07 clear(print_back_demod).
% 0.43/1.07 clear(print_given).
% 0.43/1.07 assign(max_mem,64000).
% 0.43/1.07 end_of_commands.
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 0 (wt=-1) [] join(A,meet(B,meet(A,C))) = A.
% 0.43/1.07 0 (wt=-1) [] meet(A,join(B,join(A,C))) = A.
% 0.43/1.07 0 (wt=-1) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 0.43/1.07 0 (wt=-1) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 0.43/1.07 0 (wt=-1) [] -(meet(a,join(a,b)) = a).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Starting to process input.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 0.43/1.07 1 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 0.43/1.07 2 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 0.43/1.07 3 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 0.43/1.07 4 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 5 (wt=7) [] -(meet(a,join(a,b)) = a).
% 0.43/1.07 ---------------- PROOF FOUND ----------------
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 After processing input:
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 5 (wt=7) [] -(meet(a,join(a,b)) = a).
% 0.43/1.07 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 0.43/1.07 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 0.43/1.07 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 0.43/1.07 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 1 (wt=9) [] join(A,meet(B,meet(A,C))) = A.
% 0.43/1.07 2 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 0.43/1.07 3 (wt=11) [] join(join(meet(A,B),meet(B,C)),B) = B.
% 0.43/1.07 4 (wt=11) [] meet(meet(join(A,B),join(B,C)),B) = B.
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 UNIT CONFLICT from 14 and 5 at 0.00 seconds.
% 0.43/1.07
% 0.43/1.07 ---------------- PROOF ----------------
% 0.43/1.07 % SZS output start Refutation
% See solution above
% 0.43/1.07 ------------ end of proof -------------
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 ------------- memory usage ------------
% 0.43/1.07 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.07 type (bytes each) gets frees in use avail bytes
% 0.43/1.07 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.43/1.07 term ( 16) 694 560 134 12 2.8 K
% 0.43/1.07 gen_ptr ( 8) 466 79 387 4 3.1 K
% 0.43/1.07 context ( 808) 300 298 2 2 3.2 K
% 0.43/1.07 trail ( 12) 65 65 0 4 0.0 K
% 0.43/1.07 bt_node ( 68) 150 147 3 4 0.5 K
% 0.43/1.07 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_free_vars_pos (4020)
% 0.43/1.07 0 0 0 0 0.0 K
% 0.43/1.07 discrim ( 12) 151 0 151 0 1.8 K
% 0.43/1.07 flat ( 40) 342 342 0 7 0.3 K
% 0.43/1.07 discrim_pos ( 12) 1 1 0 1 0.0 K
% 0.43/1.07 fpa_head ( 12) 137 0 137 0 1.6 K
% 0.43/1.07 fpa_tree ( 28) 29 29 0 5 0.1 K
% 0.43/1.07 fpa_pos ( 36) 26 26 0 1 0.0 K
% 0.43/1.07 literal ( 12) 35 21 14 1 0.2 K
% 0.43/1.07 clause ( 24) 35 21 14 1 0.4 K
% 0.43/1.07 list ( 12) 71 15 56 3 0.7 K
% 0.43/1.07 list_pos ( 20) 56 5 51 0 1.0 K
% 0.43/1.07 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.07
% 0.43/1.07 -------------- statistics -------------
% 0.43/1.07 Clauses input 5
% 0.43/1.07 Usable input 0
% 0.43/1.07 Sos input 5
% 0.43/1.07 Demodulators input 0
% 0.43/1.07 Passive input 0
% 0.43/1.07
% 0.43/1.07 Processed BS (before search) 5
% 0.43/1.07 Forward subsumed BS 0
% 0.43/1.07 Kept BS 5
% 0.43/1.07 New demodulators BS 4
% 0.43/1.07 Back demodulated BS 0
% 0.43/1.07
% 0.43/1.07 Clauses or pairs given 20
% 0.43/1.07 Clauses generated 15
% 0.43/1.07 Forward subsumed 6
% 0.43/1.07 Deleted by weight 0
% 0.43/1.07 Deleted by variable count 0
% 0.43/1.07 Kept 9
% 0.43/1.07 New demodulators 8
% 0.43/1.07 Back demodulated 0
% 0.43/1.07 Ordered paramod prunes 0
% 0.43/1.07 Basic paramod prunes 2
% 0.43/1.07 Prime paramod prunes 0
% 0.43/1.07 Semantic prunes 0
% 0.43/1.07
% 0.43/1.07 Rewrite attmepts 70
% 0.43/1.07 Rewrites 1
% 0.43/1.07
% 0.43/1.07 FPA overloads 0
% 0.43/1.07 FPA underloads 0
% 0.43/1.07
% 0.43/1.07 Usable size 0
% 0.43/1.07 Sos size 13
% 0.43/1.07 Demodulators size 12
% 0.43/1.07 Passive size 0
% 0.43/1.07 Disabled size 0
% 0.43/1.07
% 0.43/1.07 Proofs found 1
% 0.43/1.07
% 0.43/1.07 ----------- times (seconds) ----------- Wed Jun 29 15:32:33 2022
% 0.43/1.07
% 0.43/1.07 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.07 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.07 input time 0.00
% 0.43/1.07 paramodulation time 0.00
% 0.43/1.07 demodulation time 0.00
% 0.43/1.07 orient time 0.00
% 0.43/1.07 weigh time 0.00
% 0.43/1.07 forward subsume time 0.00
% 0.43/1.07 back demod find time 0.00
% 0.43/1.07 conflict time 0.00
% 0.43/1.07 LRPO time 0.00
% 0.43/1.07 store clause time 0.00
% 0.43/1.07 disable clause time 0.00
% 0.43/1.07 prime paramod time 0.00
% 0.43/1.07 semantics time 0.00
% 0.43/1.07
% 0.43/1.07 EQP interrupted
%------------------------------------------------------------------------------