TSTP Solution File: LAT090-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 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 04:34:39 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 2 RR)
% Number of literals : 30 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(meet(A,B),meet(A,join(A,B))),A),
file('LAT090-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(meet(A,A),meet(B,join(A,A))),A),
file('LAT090-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(meet(A,B),meet(B,join(A,B))),B),
file('LAT090-1.p',unknown),
[] ).
cnf(4,plain,
equal(meet(meet(join(A,B),join(C,A)),A),A),
file('LAT090-1.p',unknown),
[] ).
cnf(5,plain,
equal(join(join(meet(A,B),meet(C,A)),A),A),
file('LAT090-1.p',unknown),
[] ).
cnf(6,plain,
~ equal(join(a,a),a),
file('LAT090-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(A,A)),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(11,plain,
equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(16,plain,
equal(join(meet(A,A),join(A,A)),A),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(18,plain,
equal(join(meet(meet(A,A),join(A,A)),meet(meet(A,A),A)),meet(A,A)),
inference(para,[status(thm),theory(equality)],[16,1]),
[iquote('para(16,1)')] ).
cnf(22,plain,
equal(join(meet(meet(A,A),join(A,A)),meet(join(A,A),A)),join(A,A)),
inference(para,[status(thm),theory(equality)],[16,3]),
[iquote('para(16,3)')] ).
cnf(27,plain,
equal(meet(meet(join(A,B),A),A),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(29,plain,
equal(join(join(meet(A,B),A),A),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(36,plain,
equal(join(A,meet(A,join(meet(join(A,B),A),A))),A),
inference(para,[status(thm),theory(equality)],[27,3]),
[iquote('para(27,3)')] ).
cnf(47,plain,
equal(meet(meet(A,A),A),A),
inference(para,[status(thm),theory(equality)],[36,27]),
[iquote('para(36,27)')] ).
cnf(48,plain,
equal(join(meet(meet(A,A),join(A,A)),A),meet(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),47]),
[iquote('back_demod(18),demod([47])')] ).
cnf(49,plain,
equal(join(meet(meet(A,A),meet(B,join(A,A))),A),meet(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),47]),
[iquote('back_demod(8),demod([47])')] ).
cnf(53,plain,
equal(join(A,meet(A,join(meet(A,A),A))),A),
inference(para,[status(thm),theory(equality)],[47,3]),
[iquote('para(47,3)')] ).
cnf(59,plain,
equal(meet(meet(A,join(B,A)),A),A),
inference(para,[status(thm),theory(equality)],[53,4]),
[iquote('para(53,4)')] ).
cnf(62,plain,
equal(meet(meet(join(A,A),A),join(A,A)),join(A,A)),
inference(para,[status(thm),theory(equality)],[16,59]),
[iquote('para(16,59)')] ).
cnf(82,plain,
equal(meet(join(A,B),join(A,A)),meet(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,11]),49]),1]),
[iquote('para(4,11),demod([49]),flip(1)')] ).
cnf(83,plain,
equal(meet(meet(A,A),join(A,A)),join(A,A)),
inference(para,[status(thm),theory(equality)],[82,47]),
[iquote('para(82,47)')] ).
cnf(84,plain,
equal(meet(A,A),join(join(A,A),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[48]),83]),1]),
[iquote('back_demod(48),demod([83]),flip(1)')] ).
cnf(85,plain,
equal(meet(join(join(A,A),A),join(A,A)),join(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[83]),84]),
[iquote('back_demod(83),demod([84])')] ).
cnf(103,plain,
equal(join(join(A,A),meet(join(A,A),A)),join(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),84,85]),
[iquote('back_demod(22),demod([84,85])')] ).
cnf(111,plain,
equal(meet(join(join(join(A,A),join(A,A)),join(A,A)),A),A),
inference(para,[status(thm),theory(equality)],[84,4]),
[iquote('para(84,4)')] ).
cnf(126,plain,
equal(meet(join(A,A),A),join(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[62,29]),103,103]),1]),
[iquote('para(62,29),demod([103,103]),flip(1)')] ).
cnf(127,plain,
equal(join(join(A,A),join(A,A)),join(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[103]),126]),
[iquote('back_demod(103),demod([126])')] ).
cnf(128,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[111]),127,127,126]),
[iquote('back_demod(111),demod([127,127,126])')] ).
cnf(129,plain,
$false,
inference(conflict,[status(thm)],[128,6]),
[iquote('conflict(128,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT090-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % 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 : Thu Jun 30 10:15:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.09 ----- EQP 0.9e, May 2009 -----
% 0.71/1.09 The job began on n017.cluster.edu, Thu Jun 30 10:15:39 2022
% 0.71/1.09 The command was "./eqp09e".
% 0.71/1.09
% 0.71/1.09 set(prolog_style_variables).
% 0.71/1.09 set(lrpo).
% 0.71/1.09 set(basic_paramod).
% 0.71/1.09 set(functional_subsume).
% 0.71/1.09 set(ordered_paramod).
% 0.71/1.09 set(prime_paramod).
% 0.71/1.09 set(para_pairs).
% 0.71/1.09 assign(pick_given_ratio,4).
% 0.71/1.09 clear(print_kept).
% 0.71/1.09 clear(print_new_demod).
% 0.71/1.09 clear(print_back_demod).
% 0.71/1.09 clear(print_given).
% 0.71/1.09 assign(max_mem,64000).
% 0.71/1.09 end_of_commands.
% 0.71/1.09
% 0.71/1.09 Usable:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Sos:
% 0.71/1.09 0 (wt=-1) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.09 0 (wt=-1) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.09 0 (wt=-1) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.09 0 (wt=-1) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.09 0 (wt=-1) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.09 0 (wt=-1) [] -(join(a,a) = a).
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Demodulators:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Passive:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Starting to process input.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.09 1 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.09 2 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.09 3 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.09 4 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.09 5 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 6 (wt=5) [] -(join(a,a) = a).
% 0.71/1.09 ---------------- PROOF FOUND ----------------
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 After processing input:
% 0.71/1.09
% 0.71/1.09 Usable:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Sos:
% 0.71/1.09 6 (wt=5) [] -(join(a,a) = a).
% 0.71/1.09 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.09 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.09 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.09 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.09 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Demodulators:
% 0.71/1.09 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.09 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.09 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.09 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.09 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Passive:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 UNIT CONFLICT from 128 and 6 at 0.01 seconds.
% 0.71/1.09
% 0.71/1.09 ---------------- PROOF ----------------
% 0.71/1.09 % SZS output start Refutation
% See solution above
% 0.71/1.09 ------------ end of proof -------------
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 ------------- memory usage ------------
% 0.71/1.09 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.09 type (bytes each) gets frees in use avail bytes
% 0.71/1.09 sym_ent ( 96) 54 0 54 0 5.1 K
% 0.71/1.09 term ( 16) 6374 3906 2468 24 48.2 K
% 0.71/1.09 gen_ptr ( 8) 11221 1426 9795 29 76.8 K
% 0.71/1.09 context ( 808) 4929 4927 2 2 3.2 K
% 0.71/1.09 trail ( 12) 1079 1079 0 4 0.0 K
% 0.71/1.09 bt_node ( 68) 2652 2649 3 16 1.3 K
% 0.71/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.09 ac_match_free_vars_pos (4020)
% 0.71/1.09 0 0 0 0 0.0 K
% 0.71/1.09 discrim ( 12) 2615 462 2153 25 25.5 K
% 0.71/1.09 flat ( 40) 10742 10742 0 29 1.1 K
% 0.71/1.09 discrim_pos ( 12) 119 119 0 1 0.0 K
% 0.71/1.09 fpa_head ( 12) 817 0 817 0 9.6 K
% 0.71/1.09 fpa_tree ( 28) 515 515 0 19 0.5 K
% 0.71/1.09 fpa_pos ( 36) 254 254 0 1 0.0 K
% 0.71/1.09 literal ( 12) 328 200 128 1 1.5 K
% 0.71/1.09 clause ( 24) 328 200 128 1 3.0 K
% 0.71/1.09 list ( 12) 185 127 58 1 0.7 K
% 0.71/1.09 list_pos ( 20) 579 167 412 4 8.1 K
% 0.71/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.09
% 0.71/1.09 -------------- statistics -------------
% 0.71/1.09 Clauses input 6
% 0.71/1.09 Usable input 0
% 0.71/1.09 Sos input 6
% 0.71/1.09 Demodulators input 0
% 0.71/1.09 Passive input 0
% 0.71/1.09
% 0.71/1.09 Processed BS (before search) 6
% 0.71/1.09 Forward subsumed BS 0
% 0.71/1.09 Kept BS 6
% 0.71/1.09 New demodulators BS 5
% 0.71/1.09 Back demodulated BS 0
% 0.71/1.09
% 0.71/1.09 Clauses or pairs given 246
% 0.71/1.09 Clauses generated 192
% 0.71/1.09 Forward subsumed 70
% 0.71/1.09 Deleted by weight 0
% 0.71/1.09 Deleted by variable count 0
% 0.71/1.09 Kept 122
% 0.71/1.09 New demodulators 121
% 0.71/1.09 Back demodulated 32
% 0.71/1.09 Ordered paramod prunes 0
% 0.71/1.09 Basic paramod prunes 360
% 0.71/1.09 Prime paramod prunes 0
% 0.71/1.09 Semantic prunes 0
% 0.71/1.09
% 0.71/1.09 Rewrite attmepts 1758
% 0.71/1.09 Rewrites 119
% 0.71/1.09
% 0.71/1.09 FPA overloads 0
% 0.71/1.09 FPA underloads 0
% 0.71/1.09
% 0.71/1.09 Usable size 0
% 0.71/1.09 Sos size 95
% 0.71/1.09 Demodulators size 94
% 0.71/1.09 Passive size 0
% 0.71/1.09 Disabled size 32
% 0.71/1.09
% 0.71/1.09 Proofs found 1
% 0.71/1.09
% 0.71/1.09 ----------- times (seconds) ----------- Thu Jun 30 10:15:39 2022
% 0.71/1.09
% 0.71/1.09 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.71/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.09 input time 0.00
% 0.71/1.09 paramodulation time 0.00
% 0.71/1.09 demodulation time 0.00
% 0.71/1.09 orient time 0.00
% 0.71/1.09 weigh time 0.00
% 0.71/1.09 forward subsume time 0.00
% 0.71/1.09 back demod find time 0.00
% 0.71/1.09 conflict time 0.00
% 0.71/1.09 LRPO time 0.00
% 0.71/1.09 store clause time 0.00
% 0.71/1.09 disable clause time 0.00
% 0.71/1.09 prime paramod time 0.00
% 0.71/1.09 semantics time 0.00
% 0.71/1.09
% 0.71/1.09 EQP interrupted
%------------------------------------------------------------------------------