TSTP Solution File: LAT088-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n008.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 1.08s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 4 RR)
% Number of literals : 32 ( 0 equ; 3 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('LAT088-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(meet(A,A),meet(B,join(A,A))),A),
file('LAT088-1.p',unknown),
[] ).
cnf(3,plain,
equal(join(meet(A,B),meet(B,join(A,B))),B),
file('LAT088-1.p',unknown),
[] ).
cnf(4,plain,
equal(meet(meet(join(A,B),join(C,A)),A),A),
file('LAT088-1.p',unknown),
[] ).
cnf(5,plain,
equal(join(join(meet(A,B),meet(C,A)),A),A),
file('LAT088-1.p',unknown),
[] ).
cnf(6,plain,
~ equal(meet(a,a),a),
file('LAT088-1.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(106,plain,
~ equal(join(join(a,a),a),a),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),84]),
[iquote('back_demod(6),demod([84])')] ).
cnf(112,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(128,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(129,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]),128]),
[iquote('back_demod(103),demod([128])')] ).
cnf(130,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[112]),129,129,128]),
[iquote('back_demod(112),demod([129,129,128])')] ).
cnf(139,plain,
~ equal(a,a),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[106]),130,130]),
[iquote('back_demod(106),demod([130,130])')] ).
cnf(140,plain,
$false,
inference(conflict,[status(thm)],[139]),
[iquote('xx_conflict(139)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n008.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 00:03:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.08 ----- EQP 0.9e, May 2009 -----
% 0.71/1.08 The job began on n008.cluster.edu, Thu Jun 30 00:03:38 2022
% 0.71/1.08 The command was "./eqp09e".
% 0.71/1.08
% 0.71/1.08 set(prolog_style_variables).
% 0.71/1.08 set(lrpo).
% 0.71/1.08 set(basic_paramod).
% 0.71/1.08 set(functional_subsume).
% 0.71/1.08 set(ordered_paramod).
% 0.71/1.08 set(prime_paramod).
% 0.71/1.08 set(para_pairs).
% 0.71/1.08 assign(pick_given_ratio,4).
% 0.71/1.08 clear(print_kept).
% 0.71/1.08 clear(print_new_demod).
% 0.71/1.08 clear(print_back_demod).
% 0.71/1.08 clear(print_given).
% 0.71/1.08 assign(max_mem,64000).
% 0.71/1.08 end_of_commands.
% 0.71/1.08
% 0.71/1.08 Usable:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Sos:
% 0.71/1.08 0 (wt=-1) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.08 0 (wt=-1) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.08 0 (wt=-1) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.08 0 (wt=-1) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.08 0 (wt=-1) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.08 0 (wt=-1) [] -(meet(a,a) = a).
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Demodulators:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Passive:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Starting to process input.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.08 1 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.08 2 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.08 3 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.08 4 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.08 5 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 6 (wt=5) [] -(meet(a,a) = a).
% 0.71/1.08 ---------------- PROOF FOUND ----------------
% 0.71/1.08 % SZS status Unsatisfiable
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 After processing input:
% 0.71/1.08
% 0.71/1.08 Usable:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Sos:
% 0.71/1.08 6 (wt=5) [] -(meet(a,a) = a).
% 0.71/1.08 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.08 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.08 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.08 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.08 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Demodulators:
% 0.71/1.08 1 (wt=11) [] join(meet(A,B),meet(A,join(A,B))) = A.
% 0.71/1.08 2 (wt=11) [] join(meet(A,A),meet(B,join(A,A))) = A.
% 0.71/1.08 3 (wt=11) [] join(meet(A,B),meet(B,join(A,B))) = B.
% 0.71/1.08 4 (wt=11) [] meet(meet(join(A,B),join(C,A)),A) = A.
% 0.71/1.08 5 (wt=11) [] join(join(meet(A,B),meet(C,A)),A) = A.
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Passive:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 UNIT CONFLICT from 139 and x=x at 0.01 seconds.
% 0.71/1.08
% 0.71/1.08 ---------------- PROOF ----------------
% 0.71/1.08 % SZS output start Refutation
% See solution above
% 0.71/1.08 ------------ end of proof -------------
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 ------------- memory usage ------------
% 0.71/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.08 type (bytes each) gets frees in use avail bytes
% 0.71/1.08 sym_ent ( 96) 54 0 54 0 5.1 K
% 0.71/1.08 term ( 16) 7445 4860 2585 24 50.4 K
% 0.71/1.08 gen_ptr ( 8) 12824 2665 10159 31 79.6 K
% 0.71/1.08 context ( 808) 5537 5535 2 2 3.2 K
% 0.71/1.08 trail ( 12) 2098 2098 0 4 0.0 K
% 0.71/1.08 bt_node ( 68) 2814 2811 3 16 1.3 K
% 0.71/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.08 ac_match_free_vars_pos (4020)
% 0.71/1.08 0 0 0 0 0.0 K
% 0.71/1.08 discrim ( 12) 2690 970 1720 467 25.6 K
% 0.71/1.08 flat ( 40) 12252 12252 0 29 1.1 K
% 0.71/1.08 discrim_pos ( 12) 283 283 0 1 0.0 K
% 0.71/1.08 fpa_head ( 12) 826 0 826 0 9.7 K
% 0.71/1.08 fpa_tree ( 28) 546 546 0 19 0.5 K
% 0.71/1.08 fpa_pos ( 36) 274 274 0 1 0.0 K
% 0.71/1.08 literal ( 12) 378 239 139 0 1.6 K
% 0.71/1.08 clause ( 24) 378 239 139 0 3.3 K
% 0.71/1.08 list ( 12) 195 136 59 2 0.7 K
% 0.71/1.08 list_pos ( 20) 718 335 383 83 9.1 K
% 0.71/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.08
% 0.71/1.08 -------------- statistics -------------
% 0.71/1.08 Clauses input 6
% 0.71/1.08 Usable input 0
% 0.71/1.08 Sos input 6
% 0.71/1.08 Demodulators input 0
% 0.71/1.08 Passive input 0
% 0.71/1.08
% 0.71/1.08 Processed BS (before search) 6
% 0.71/1.08 Forward subsumed BS 0
% 0.71/1.08 Kept BS 6
% 0.71/1.08 New demodulators BS 5
% 0.71/1.08 Back demodulated BS 0
% 0.71/1.08
% 0.71/1.08 Clauses or pairs given 259
% 0.71/1.08 Clauses generated 229
% 0.71/1.08 Forward subsumed 96
% 0.71/1.08 Deleted by weight 0
% 0.71/1.08 Deleted by variable count 0
% 0.71/1.08 Kept 133
% 0.71/1.08 New demodulators 131
% 0.71/1.08 Back demodulated 66
% 0.71/1.08 Ordered paramod prunes 0
% 0.71/1.08 Basic paramod prunes 381
% 0.71/1.08 Prime paramod prunes 0
% 0.71/1.08 Semantic prunes 0
% 0.71/1.08
% 0.71/1.08 Rewrite attmepts 2115
% 0.71/1.08 Rewrites 283
% 0.71/1.08
% 0.71/1.08 FPA overloads 0
% 0.71/1.08 FPA underloads 0
% 0.71/1.08
% 0.71/1.08 Usable size 0
% 0.71/1.08 Sos size 72
% 0.71/1.08 Demodulators size 72
% 0.71/1.08 Passive size 0
% 0.71/1.08 Disabled size 66
% 0.71/1.08
% 0.71/1.08 Proofs found 1
% 0.71/1.08
% 0.71/1.08 ----------- times (seconds) ----------- Thu Jun 30 00:03:38 2022
% 0.71/1.08
% 0.71/1.08 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.08 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.08 input time 0.00
% 0.71/1.08 paramodulation time 0.00
% 0.71/1.08 demodulation time 0.00
% 0.71/1.08 orient time 0.00
% 0.71/1.08 weigh time 0.00
% 0.71/1.08 forward subsume time 0.00
% 0.71/1.08 back demod find time 0.00
% 0.71/1.08 conflict time 0.00
% 0.71/1.08 LRPO time 0.00
% 0.71/1.08 store clause time 0.00
% 0.71/1.08 disable clause time 0.00
% 0.71/1.08 prime paramod time 0.00
% 0.71/1.08 semantics time 0.00
% 0.71/1.08
% 0.71/1.08 EQP interrupted
%------------------------------------------------------------------------------