TSTP Solution File: LAT031-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 04:34:21 EDT 2022
% Result : Unsatisfiable 0.72s 1.08s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 0 equ; 4 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('LAT031-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT031-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT031-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT031-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,C)),join(meet(A,B),meet(A,C))),
file('LAT031-1.p',unknown),
[] ).
cnf(10,plain,
~ equal(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)),join(xx,meet(yy,zz))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),1]),
[iquote('demod([9]),flip(1)')] ).
cnf(11,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(31,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(39,plain,
~ equal(join(meet(join(xx,yy),xx),join(meet(zz,xx),meet(zz,yy))),join(xx,meet(yy,zz))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,10]),9]),
[iquote('para(5,10),demod([9])')] ).
cnf(43,plain,
equal(join(A,join(meet(B,A),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,8]),1]),
[iquote('para(11,8),flip(1)')] ).
cnf(66,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)],[1,31]),4]),1]),
[iquote('para(1,31),demod([4]),flip(1)')] ).
cnf(68,plain,
~ equal(join(xx,meet(zz,yy)),join(xx,meet(yy,zz))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),66,43]),
[iquote('back_demod(39),demod([66,43])')] ).
cnf(90,plain,
~ equal(join(xx,meet(yy,zz)),join(xx,meet(yy,zz))),
inference(para,[status(thm),theory(equality)],[5,68]),
[iquote('para(5,68)')] ).
cnf(91,plain,
$false,
inference(conflict,[status(thm)],[90]),
[iquote('xx_conflict(90)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n021.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 : Wed Jun 29 00:57:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.08 ----- EQP 0.9e, May 2009 -----
% 0.72/1.08 The job began on n021.cluster.edu, Wed Jun 29 00:57:57 2022
% 0.72/1.08 The command was "./eqp09e".
% 0.72/1.08
% 0.72/1.08 set(prolog_style_variables).
% 0.72/1.08 set(lrpo).
% 0.72/1.08 set(basic_paramod).
% 0.72/1.08 set(functional_subsume).
% 0.72/1.08 set(ordered_paramod).
% 0.72/1.08 set(prime_paramod).
% 0.72/1.08 set(para_pairs).
% 0.72/1.08 assign(pick_given_ratio,4).
% 0.72/1.08 clear(print_kept).
% 0.72/1.08 clear(print_new_demod).
% 0.72/1.08 clear(print_back_demod).
% 0.72/1.08 clear(print_given).
% 0.72/1.08 assign(max_mem,64000).
% 0.72/1.08 end_of_commands.
% 0.72/1.08
% 0.72/1.08 Usable:
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Sos:
% 0.72/1.08 0 (wt=-1) [] meet(A,A) = A.
% 0.72/1.08 0 (wt=-1) [] join(A,A) = A.
% 0.72/1.08 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 0.72/1.08 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 0.72/1.08 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 0.72/1.08 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.72/1.08 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.72/1.08 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.72/1.08 0 (wt=-1) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.72/1.08 0 (wt=-1) [] -(join(xx,meet(yy,zz)) = meet(join(xx,yy),join(xx,zz))).
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Demodulators:
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Passive:
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Starting to process input.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 0.72/1.08 1 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 0.72/1.08 2 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 0.72/1.08 3 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.72/1.08 4 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.72/1.08 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 0.72/1.08
% 0.72/1.08 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 0.72/1.08 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 0.72/1.08
% 0.72/1.08 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.72/1.08 7 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.72/1.08 8 is a new demodulator.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.72/1.08 9 is a new demodulator.
% 0.72/1.08 -> 9 back demodulating 3.
% 0.72/1.08 clause forward subsumed: 0 (wt=3) [back_demod(3),demod([9,1,4])] A = A.
% 0.72/1.08
% 0.72/1.08 ** KEPT: 10 (wt=17) [demod([9]),flip(1)] -(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)) = join(xx,meet(yy,zz))).
% 0.72/1.08 ---------------- PROOF FOUND ----------------
% 0.72/1.08 % SZS status Unsatisfiable
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 After processing input:
% 0.72/1.08
% 0.72/1.08 Usable:
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Sos:
% 0.72/1.08 1 (wt=5) [] meet(A,A) = A.
% 0.72/1.08 2 (wt=5) [] join(A,A) = A.
% 0.72/1.08 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.72/1.08 5 (wt=7) [] meet(A,B) = meet(B,A).
% 0.72/1.08 6 (wt=7) [] join(A,B) = join(B,A).
% 0.72/1.08 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.72/1.08 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.72/1.08 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.72/1.08 10 (wt=17) [demod([9]),flip(1)] -(join(meet(join(xx,yy),xx),meet(join(xx,yy),zz)) = join(xx,meet(yy,zz))).
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Demodulators:
% 0.72/1.08 1 (wt=5) [] meet(A,A) = A.
% 0.72/1.08 2 (wt=5) [] join(A,A) = A.
% 0.72/1.08 4 (wt=7) [] join(A,meet(A,B)) = A.
% 0.72/1.08 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 0.72/1.08 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 0.72/1.08 9 (wt=13) [] meet(A,join(B,C)) = join(meet(A,B),meet(A,C)).
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 Passive:
% 0.72/1.08 end_of_list.
% 0.72/1.08
% 0.72/1.08 UNIT CONFLICT from 90 and x=x at 0.00 seconds.
% 0.72/1.08
% 0.72/1.08 ---------------- PROOF ----------------
% 0.72/1.08 % SZS output start Refutation
% See solution above
% 0.72/1.08 ------------ end of proof -------------
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 ------------- memory usage ------------
% 0.72/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.08 type (bytes each) gets frees in use avail bytes
% 0.72/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.72/1.08 term ( 16) 7925 6823 1102 20 21.6 K
% 0.72/1.08 gen_ptr ( 8) 5565 1942 3623 13 28.4 K
% 0.72/1.08 context ( 808) 4921 4919 2 3 3.9 K
% 0.72/1.08 trail ( 12) 621 621 0 4 0.0 K
% 0.72/1.08 bt_node ( 68) 2120 2117 3 6 0.6 K
% 0.72/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.08 ac_match_free_vars_pos (4020)
% 0.72/1.08 0 0 0 0 0.0 K
% 0.72/1.08 discrim ( 12) 746 146 600 0 7.0 K
% 0.72/1.08 flat ( 40) 10573 10573 0 23 0.9 K
% 0.72/1.08 discrim_pos ( 12) 480 480 0 1 0.0 K
% 0.72/1.08 fpa_head ( 12) 276 0 276 0 3.2 K
% 0.72/1.08 fpa_tree ( 28) 316 316 0 29 0.8 K
% 0.72/1.08 fpa_pos ( 36) 145 145 0 1 0.0 K
% 0.72/1.08 literal ( 12) 530 440 90 0 1.1 K
% 0.72/1.08 clause ( 24) 530 440 90 0 2.1 K
% 0.72/1.08 list ( 12) 115 59 56 3 0.7 K
% 0.72/1.08 list_pos ( 20) 363 77 286 0 5.6 K
% 0.72/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.08
% 0.72/1.08 -------------- statistics -------------
% 0.72/1.08 Clauses input 10
% 0.72/1.08 Usable input 0
% 0.72/1.08 Sos input 10
% 0.72/1.08 Demodulators input 0
% 0.72/1.08 Passive input 0
% 0.72/1.08
% 0.72/1.08 Processed BS (before search) 13
% 0.72/1.08 Forward subsumed BS 3
% 0.72/1.08 Kept BS 10
% 0.72/1.08 New demodulators BS 7
% 0.72/1.08 Back demodulated BS 1
% 0.72/1.08
% 0.72/1.08 Clauses or pairs given 398
% 0.72/1.08 Clauses generated 344
% 0.72/1.08 Forward subsumed 264
% 0.72/1.08 Deleted by weight 0
% 0.72/1.08 Deleted by variable count 0
% 0.72/1.08 Kept 80
% 0.72/1.08 New demodulators 49
% 0.72/1.08 Back demodulated 14
% 0.72/1.08 Ordered paramod prunes 0
% 0.72/1.08 Basic paramod prunes 348
% 0.72/1.08 Prime paramod prunes 10
% 0.72/1.08 Semantic prunes 0
% 0.72/1.08
% 0.72/1.08 Rewrite attmepts 2184
% 0.72/1.08 Rewrites 406
% 0.72/1.08
% 0.72/1.08 FPA overloads 0
% 0.72/1.08 FPA underloads 0
% 0.72/1.08
% 0.72/1.08 Usable size 0
% 0.72/1.08 Sos size 74
% 0.72/1.08 Demodulators size 49
% 0.72/1.08 Passive size 0
% 0.72/1.08 Disabled size 15
% 0.72/1.08
% 0.72/1.08 Proofs found 1
% 0.72/1.08
% 0.72/1.08 ----------- times (seconds) ----------- Wed Jun 29 00:57:57 2022
% 0.72/1.08
% 0.72/1.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.72/1.08 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.72/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.08 input time 0.00
% 0.72/1.08 paramodulation time 0.00
% 0.72/1.08 demodulation time 0.00
% 0.72/1.08 orient time 0.00
% 0.72/1.08 weigh time 0.00
% 0.72/1.08 forward subsume time 0.00
% 0.72/1.08 back demod find time 0.00
% 0.72/1.08 conflict time 0.00
% 0.72/1.08 LRPO time 0.00
% 0.72/1.08 store clause time 0.00
% 0.72/1.08 disable clause time 0.00
% 0.72/1.08 prime paramod time 0.00
% 0.72/1.08 semantics time 0.00
% 0.72/1.08
% 0.72/1.08 EQP interrupted
%------------------------------------------------------------------------------