TSTP Solution File: GRP116-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 : Sat Jul 16 08:44:42 EDT 2022
% Result : Unsatisfiable 0.71s 1.14s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 2 RR)
% Number of literals : 37 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C)))),B),
file('GRP116-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(identity,a),a),
file('GRP116-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,multiply(multiply(A,multiply(B,C)),multiply(identity,multiply(C,C)))),multiply(multiply(A,multiply(multiply(A,B),D)),multiply(identity,multiply(D,D)))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C))),multiply(A,multiply(multiply(A,multiply(B,D)),multiply(identity,multiply(D,D))))),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(6,plain,
equal(multiply(A,multiply(B,multiply(identity,multiply(multiply(identity,multiply(C,C)),multiply(identity,multiply(C,C)))))),multiply(multiply(A,B),C)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,multiply(identity,multiply(multiply(identity,multiply(C,C)),multiply(identity,multiply(C,C))))))),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(8,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,B),multiply(identity,multiply(multiply(identity,C),multiply(identity,C))))),C)),B),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C))),D)),multiply(identity,multiply(D,D)))),multiply(multiply(A,multiply(B,E)),multiply(identity,multiply(E,E)))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(10,plain,
equal(multiply(multiply(A,multiply(B,C)),multiply(identity,multiply(C,C))),multiply(A,multiply(multiply(A,multiply(multiply(multiply(A,multiply(multiply(A,B),D)),multiply(identity,multiply(D,D))),E)),multiply(identity,multiply(E,E))))),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(13,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,B),multiply(identity,multiply(C,C)))),multiply(multiply(identity,multiply(multiply(identity,C),D)),multiply(identity,multiply(D,D))))),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(14,plain,
equal(multiply(multiply(A,multiply(multiply(A,multiply(A,B)),C)),multiply(identity,multiply(C,C))),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(28,plain,
equal(multiply(A,multiply(A,multiply(multiply(A,multiply(B,C)),multiply(identity,multiply(C,C))))),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(39,plain,
equal(multiply(multiply(A,multiply(multiply(A,multiply(A,B)),C)),multiply(multiply(A,multiply(multiply(A,multiply(A,B)),C)),multiply(B,multiply(identity,multiply(multiply(C,C),multiply(C,C)))))),identity),
inference(para,[status(thm),theory(equality)],[14,28]),
[iquote('para(14,28)')] ).
cnf(42,plain,
equal(multiply(multiply(A,B),multiply(identity,C)),multiply(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,8]),1]),
[iquote('para(1,8),flip(1)')] ).
cnf(55,plain,
equal(multiply(A,multiply(A,multiply(A,multiply(multiply(B,C),multiply(C,C))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[28]),42]),
[iquote('back_demod(28),demod([42])')] ).
cnf(68,plain,
equal(multiply(A,multiply(A,multiply(multiply(A,multiply(B,multiply(C,C))),multiply(multiply(multiply(identity,C),D),multiply(D,D))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),42,42,42]),
[iquote('back_demod(13),demod([42,42,42])')] ).
cnf(71,plain,
equal(multiply(A,multiply(multiply(B,C),multiply(C,C))),multiply(A,multiply(A,multiply(multiply(multiply(A,multiply(multiply(multiply(A,B),D),multiply(D,D))),E),multiply(E,E))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),42,42,42]),
[iquote('back_demod(10),demod([42,42,42])')] ).
cnf(72,plain,
equal(multiply(A,multiply(A,multiply(multiply(multiply(A,multiply(multiply(multiply(A,B),C),multiply(C,C))),D),multiply(D,D)))),multiply(A,multiply(multiply(B,E),multiply(E,E)))),
inference(flip,[status(thm),theory(equality)],[71]),
[iquote('flip(71)')] ).
cnf(74,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,multiply(identity,multiply(identity,multiply(multiply(C,C),multiply(C,C))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7]),42]),
[iquote('back_demod(7),demod([42])')] ).
cnf(75,plain,
equal(multiply(A,multiply(B,multiply(identity,multiply(identity,multiply(multiply(C,C),multiply(C,C)))))),multiply(multiply(A,B),C)),
inference(flip,[status(thm),theory(equality)],[74]),
[iquote('flip(74)')] ).
cnf(79,plain,
equal(multiply(A,multiply(A,multiply(multiply(multiply(A,B),C),multiply(C,C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),42]),
[iquote('back_demod(1),demod([42])')] ).
cnf(80,plain,
equal(multiply(multiply(multiply(A,B),C),multiply(C,C)),multiply(A,multiply(multiply(B,D),multiply(D,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[72]),79]),
[iquote('back_demod(72),demod([79])')] ).
cnf(81,plain,
equal(multiply(A,multiply(multiply(B,C),multiply(C,C))),multiply(multiply(multiply(A,B),D),multiply(D,D))),
inference(flip,[status(thm),theory(equality)],[80]),
[iquote('flip(80)')] ).
cnf(82,plain,
equal(multiply(multiply(A,multiply(multiply(A,multiply(A,B)),identity)),multiply(multiply(A,multiply(multiply(A,multiply(A,B)),identity)),multiply(B,multiply(identity,multiply(identity,multiply(identity,identity)))))),identity),
inference(para,[status(thm),theory(equality)],[42,39]),
[iquote('para(42,39)')] ).
cnf(85,plain,
equal(multiply(A,multiply(A,multiply(A,multiply(B,multiply(multiply(C,D),multiply(D,D)))))),multiply(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,55]),42,42]),
[iquote('para(42,55),demod([42,42])')] ).
cnf(86,plain,
equal(multiply(A,identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,55]),42,85]),
[iquote('para(42,55),demod([42,85])')] ).
cnf(88,plain,
equal(multiply(multiply(A,multiply(A,multiply(A,B))),multiply(multiply(A,multiply(A,multiply(A,B))),B)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[82]),86,86,86,86,86,86]),
[iquote('back_demod(82),demod([86,86,86,86,86,86])')] ).
cnf(91,plain,
equal(multiply(A,multiply(A,multiply(A,B))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,55]),86,86]),
[iquote('para(42,55),demod([86,86])')] ).
cnf(92,plain,
equal(multiply(A,multiply(A,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[88]),91,91]),
[iquote('back_demod(88),demod([91,91])')] ).
cnf(93,plain,
equal(multiply(A,multiply(multiply(B,C),multiply(C,C))),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[85]),91]),
[iquote('back_demod(85),demod([91])')] ).
cnf(96,plain,
equal(multiply(multiply(multiply(A,B),C),multiply(C,C)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[81]),93]),1]),
[iquote('back_demod(81),demod([93]),flip(1)')] ).
cnf(98,plain,
equal(multiply(multiply(A,multiply(B,B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),96,42,91]),
[iquote('back_demod(68),demod([96,42,91])')] ).
cnf(102,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,multiply(identity,multiply(identity,C))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[75]),93]),1]),
[iquote('back_demod(75),demod([93]),flip(1)')] ).
cnf(106,plain,
equal(multiply(A,multiply(B,multiply(B,multiply(identity,B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[98]),102,102,91]),
[iquote('back_demod(98),demod([102,102,91])')] ).
cnf(115,plain,
equal(multiply(A,multiply(A,multiply(identity,A))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[106,92]),106]),
[iquote('para(106,92),demod([106])')] ).
cnf(117,plain,
equal(multiply(identity,A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[115,91]),86]),1]),
[iquote('para(115,91),demod([86]),flip(1)')] ).
cnf(118,plain,
$false,
inference(conflict,[status(thm)],[117,2]),
[iquote('conflict(117,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP116-1 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 18:35:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.14 ----- EQP 0.9e, May 2009 -----
% 0.71/1.14 The job began on n029.cluster.edu, Mon Jun 13 18:35:26 2022
% 0.71/1.14 The command was "./eqp09e".
% 0.71/1.14
% 0.71/1.14 set(prolog_style_variables).
% 0.71/1.14 set(lrpo).
% 0.71/1.14 set(basic_paramod).
% 0.71/1.14 set(functional_subsume).
% 0.71/1.14 set(ordered_paramod).
% 0.71/1.14 set(prime_paramod).
% 0.71/1.14 set(para_pairs).
% 0.71/1.14 assign(pick_given_ratio,4).
% 0.71/1.14 clear(print_kept).
% 0.71/1.14 clear(print_new_demod).
% 0.71/1.14 clear(print_back_demod).
% 0.71/1.14 clear(print_given).
% 0.71/1.14 assign(max_mem,64000).
% 0.71/1.14 end_of_commands.
% 0.71/1.14
% 0.71/1.14 Usable:
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Sos:
% 0.71/1.14 0 (wt=-1) [] multiply(A,multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C)))) = B.
% 0.71/1.14 0 (wt=-1) [] -(multiply(identity,a) = a).
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Demodulators:
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Passive:
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Starting to process input.
% 0.71/1.14
% 0.71/1.14 ** KEPT: 1 (wt=17) [] multiply(A,multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C)))) = B.
% 0.71/1.14 1 is a new demodulator.
% 0.71/1.14
% 0.71/1.14 ** KEPT: 2 (wt=5) [] -(multiply(identity,a) = a).
% 0.71/1.14 ---------------- PROOF FOUND ----------------
% 0.71/1.14 % SZS status Unsatisfiable
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 After processing input:
% 0.71/1.14
% 0.71/1.14 Usable:
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Sos:
% 0.71/1.14 2 (wt=5) [] -(multiply(identity,a) = a).
% 0.71/1.14 1 (wt=17) [] multiply(A,multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C)))) = B.
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Demodulators:
% 0.71/1.14 1 (wt=17) [] multiply(A,multiply(multiply(A,multiply(multiply(A,B),C)),multiply(identity,multiply(C,C)))) = B.
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 Passive:
% 0.71/1.14 end_of_list.
% 0.71/1.14
% 0.71/1.14 UNIT CONFLICT from 117 and 2 at 0.01 seconds.
% 0.71/1.14
% 0.71/1.14 ---------------- PROOF ----------------
% 0.71/1.14 % SZS output start Refutation
% See solution above
% 0.71/1.14 ------------ end of proof -------------
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 ------------- memory usage ------------
% 0.71/1.14 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.14 type (bytes each) gets frees in use avail bytes
% 0.71/1.14 sym_ent ( 96) 54 0 54 0 5.1 K
% 0.71/1.14 term ( 16) 12996 9553 3443 38 67.5 K
% 0.71/1.14 gen_ptr ( 8) 23824 5285 18539 36 145.1 K
% 0.71/1.14 context ( 808) 6269 6267 2 9 8.7 K
% 0.71/1.14 trail ( 12) 2004 2004 0 5 0.1 K
% 0.71/1.14 bt_node ( 68) 1028 1023 5 26 2.1 K
% 0.71/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.14 ac_match_free_vars_pos (4020)
% 0.71/1.14 0 0 0 0 0.0 K
% 0.71/1.14 discrim ( 12) 3344 2998 346 1058 16.5 K
% 0.71/1.14 flat ( 40) 30433 30433 0 57 2.2 K
% 0.71/1.14 discrim_pos ( 12) 483 483 0 1 0.0 K
% 0.71/1.14 fpa_head ( 12) 824 0 824 0 9.7 K
% 0.71/1.14 fpa_tree ( 28) 499 499 0 25 0.7 K
% 0.71/1.14 fpa_pos ( 36) 184 184 0 1 0.0 K
% 0.71/1.14 literal ( 12) 430 313 117 1 1.4 K
% 0.71/1.14 clause ( 24) 430 313 117 1 2.8 K
% 0.71/1.14 list ( 12) 126 70 56 4 0.7 K
% 0.71/1.14 list_pos ( 20) 659 502 157 110 5.2 K
% 0.71/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.14
% 0.71/1.14 -------------- statistics -------------
% 0.71/1.14 Clauses input 2
% 0.71/1.14 Usable input 0
% 0.71/1.14 Sos input 2
% 0.71/1.14 Demodulators input 0
% 0.71/1.14 Passive input 0
% 0.71/1.14
% 0.71/1.14 Processed BS (before search) 2
% 0.71/1.14 Forward subsumed BS 0
% 0.71/1.14 Kept BS 2
% 0.71/1.14 New demodulators BS 1
% 0.71/1.14 Back demodulated BS 0
% 0.71/1.14
% 0.71/1.14 Clauses or pairs given 63
% 0.71/1.14 Clauses generated 229
% 0.71/1.14 Forward subsumed 114
% 0.71/1.14 Deleted by weight 0
% 0.71/1.14 Deleted by variable count 0
% 0.71/1.14 Kept 115
% 0.71/1.14 New demodulators 66
% 0.71/1.14 Back demodulated 102
% 0.71/1.14 Ordered paramod prunes 0
% 0.71/1.14 Basic paramod prunes 113
% 0.71/1.14 Prime paramod prunes 5
% 0.71/1.14 Semantic prunes 0
% 0.71/1.14
% 0.71/1.14 Rewrite attmepts 4788
% 0.71/1.14 Rewrites 430
% 0.71/1.14
% 0.71/1.14 FPA overloads 0
% 0.71/1.14 FPA underloads 0
% 0.71/1.14
% 0.71/1.14 Usable size 0
% 0.71/1.14 Sos size 14
% 0.71/1.14 Demodulators size 13
% 0.71/1.14 Passive size 0
% 0.71/1.14 Disabled size 102
% 0.71/1.14
% 0.71/1.14 Proofs found 1
% 0.71/1.14
% 0.71/1.14 ----------- times (seconds) ----------- Mon Jun 13 18:35:26 2022
% 0.71/1.14
% 0.71/1.14 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.14 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.14 input time 0.00
% 0.71/1.14 paramodulation time 0.00
% 0.71/1.14 demodulation time 0.00
% 0.71/1.14 orient time 0.00
% 0.71/1.14 weigh time 0.00
% 0.71/1.14 forward subsume time 0.00
% 0.71/1.14 back demod find time 0.00
% 0.71/1.14 conflict time 0.00
% 0.71/1.14 LRPO time 0.00
% 0.71/1.14 store clause time 0.00
% 0.71/1.14 disable clause time 0.00
% 0.71/1.14 prime paramod time 0.00
% 0.71/1.14 semantics time 0.00
% 0.71/1.14
% 0.71/1.14 EQP interrupted
%------------------------------------------------------------------------------