%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% 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 : Thu Jul 14 23:37:02 EDT 2022
% Result : Unsatisfiable 0.73s 1.19s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 2 RR)
% Number of literals : 29 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 97 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(multiply(A,B,C),D,multiply(A,B,E)),multiply(A,B,multiply(C,D,E))),
file('BOO002-2.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B,B),B),
file('BOO002-2.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,A,B),A),
file('BOO002-2.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(inverse(A),A,B),B),
file('BOO002-2.p',unknown),
[] ).
cnf(5,plain,
equal(multiply(A,B,A),A),
file('BOO002-2.p',unknown),
[] ).
cnf(6,plain,
~ equal(multiply(a,inverse(a),b),b),
file('BOO002-2.p',unknown),
[] ).
cnf(7,plain,
equal(multiply(multiply(A,B,multiply(C,D,E)),F,multiply(multiply(A,B,C),D,G)),multiply(multiply(A,B,C),D,multiply(multiply(A,B,E),F,G))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(multiply(A,B,multiply(C,A,D)),multiply(C,A,multiply(A,B,D))),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(10,plain,
equal(multiply(A,B,multiply(B,C,D)),multiply(B,C,multiply(A,B,D))),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(11,plain,
equal(multiply(multiply(A,B,C),D,B),multiply(A,B,multiply(C,D,B))),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(13,plain,
equal(multiply(A,B,multiply(C,multiply(A,B,C),D)),multiply(A,B,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,1]),1]),
[iquote('para(3,1),flip(1)')] ).
cnf(14,plain,
equal(multiply(A,B,multiply(B,C,A)),multiply(B,C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,9]),1]),
[iquote('para(5,9),flip(1)')] ).
cnf(16,plain,
equal(multiply(multiply(A,B,C),D,A),multiply(A,B,multiply(C,D,A))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(17,plain,
equal(multiply(A,B,multiply(C,A,B)),multiply(C,A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,10]),1]),
[iquote('para(2,10),flip(1)')] ).
cnf(26,plain,
equal(multiply(multiply(A,B,multiply(C,D,E)),F,D),multiply(multiply(A,B,C),D,multiply(multiply(A,B,E),F,D))),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(27,plain,
equal(multiply(A,B,multiply(A,C,B)),multiply(A,C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,11]),1]),
[iquote('para(5,11),flip(1)')] ).
cnf(83,plain,
equal(multiply(A,multiply(B,C,A),multiply(D,B,multiply(B,C,A))),multiply(B,C,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,14]),11,13]),
[iquote('para(13,14),demod([11,13])')] ).
cnf(94,plain,
equal(multiply(A,multiply(B,C,A),B),multiply(B,C,A)),
inference(para,[status(thm),theory(equality)],[3,83]),
[iquote('para(3,83)')] ).
cnf(119,plain,
equal(multiply(A,B,multiply(C,B,multiply(D,A,B))),multiply(C,B,multiply(D,A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,17]),11]),
[iquote('para(11,17),demod([11])')] ).
cnf(120,plain,
equal(multiply(A,B,multiply(C,B,A)),multiply(C,B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,119]),3]),
[iquote('para(3,119),demod([3])')] ).
cnf(164,plain,
equal(multiply(A,B,multiply(C,D,multiply(A,B,C))),multiply(A,B,C)),
inference(para,[status(thm),theory(equality)],[27,13]),
[iquote('para(27,13)')] ).
cnf(217,plain,
equal(multiply(multiply(A,B,C),D,C),multiply(C,multiply(A,B,C),multiply(A,D,C))),
inference(para,[status(thm),theory(equality)],[94,16]),
[iquote('para(94,16)')] ).
cnf(298,plain,
equal(multiply(A,multiply(B,C,A),multiply(D,C,multiply(B,C,A))),multiply(B,C,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,120]),11,13]),
[iquote('para(13,120),demod([11,13])')] ).
cnf(299,plain,
equal(multiply(A,multiply(B,C,A),C),multiply(B,C,A)),
inference(para,[status(thm),theory(equality)],[3,298]),
[iquote('para(3,298)')] ).
cnf(425,plain,
equal(multiply(multiply(A,B,C),D,multiply(C,D,A)),multiply(C,D,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[164,299]),26,5,299,164]),
[iquote('para(164,299),demod([26,5,299,164])')] ).
cnf(566,plain,
equal(multiply(multiply(A,B,C),D,multiply(B,D,C)),multiply(B,D,C)),
inference(para,[status(thm),theory(equality)],[299,425]),
[iquote('para(299,425)')] ).
cnf(569,plain,
equal(multiply(A,multiply(B,inverse(C),A),multiply(B,C,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,566]),217,4]),
[iquote('para(4,566),demod([217,4])')] ).
cnf(571,plain,
equal(multiply(A,inverse(A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,569]),94]),
[iquote('para(3,569),demod([94])')] ).
cnf(572,plain,
$false,
inference(conflict,[status(thm)],[571,6]),
[iquote('conflict(571,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n029.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 19:53:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.19 ----- EQP 0.9e, May 2009 -----
% 0.73/1.19 The job began on n029.cluster.edu, Wed Jun 1 19:53:31 2022
% 0.73/1.19 The command was "./eqp09e".
% 0.73/1.19
% 0.73/1.19 set(prolog_style_variables).
% 0.73/1.19 set(lrpo).
% 0.73/1.19 set(basic_paramod).
% 0.73/1.19 set(functional_subsume).
% 0.73/1.19 set(ordered_paramod).
% 0.73/1.19 set(prime_paramod).
% 0.73/1.19 set(para_pairs).
% 0.73/1.19 assign(pick_given_ratio,4).
% 0.73/1.19 clear(print_kept).
% 0.73/1.19 clear(print_new_demod).
% 0.73/1.19 clear(print_back_demod).
% 0.73/1.19 clear(print_given).
% 0.73/1.19 assign(max_mem,64000).
% 0.73/1.19 end_of_commands.
% 0.73/1.19
% 0.73/1.19 Usable:
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Sos:
% 0.73/1.19 0 (wt=-1) [] multiply(multiply(A,B,C),D,multiply(A,B,E)) = multiply(A,B,multiply(C,D,E)).
% 0.73/1.19 0 (wt=-1) [] multiply(A,B,B) = B.
% 0.73/1.19 0 (wt=-1) [] multiply(A,A,B) = A.
% 0.73/1.19 0 (wt=-1) [] multiply(inverse(A),A,B) = B.
% 0.73/1.19 0 (wt=-1) [] multiply(A,B,A) = A.
% 0.73/1.19 0 (wt=-1) [] -(multiply(a,inverse(a),b) = b).
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Demodulators:
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Passive:
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Starting to process input.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 1 (wt=18) [] multiply(multiply(A,B,C),D,multiply(A,B,E)) = multiply(A,B,multiply(C,D,E)).
% 0.73/1.19 1 is a new demodulator.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 2 (wt=6) [] multiply(A,B,B) = B.
% 0.73/1.19 2 is a new demodulator.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 3 (wt=6) [] multiply(A,A,B) = A.
% 0.73/1.19 3 is a new demodulator.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 4 (wt=7) [] multiply(inverse(A),A,B) = B.
% 0.73/1.19 4 is a new demodulator.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 5 (wt=6) [] multiply(A,B,A) = A.
% 0.73/1.19 5 is a new demodulator.
% 0.73/1.19
% 0.73/1.19 ** KEPT: 6 (wt=7) [] -(multiply(a,inverse(a),b) = b).
% 0.73/1.19 ---------------- PROOF FOUND ----------------
% 0.73/1.19 % SZS status Unsatisfiable
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 After processing input:
% 0.73/1.19
% 0.73/1.19 Usable:
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Sos:
% 0.73/1.19 2 (wt=6) [] multiply(A,B,B) = B.
% 0.73/1.19 3 (wt=6) [] multiply(A,A,B) = A.
% 0.73/1.19 5 (wt=6) [] multiply(A,B,A) = A.
% 0.73/1.19 4 (wt=7) [] multiply(inverse(A),A,B) = B.
% 0.73/1.19 6 (wt=7) [] -(multiply(a,inverse(a),b) = b).
% 0.73/1.19 1 (wt=18) [] multiply(multiply(A,B,C),D,multiply(A,B,E)) = multiply(A,B,multiply(C,D,E)).
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Demodulators:
% 0.73/1.19 1 (wt=18) [] multiply(multiply(A,B,C),D,multiply(A,B,E)) = multiply(A,B,multiply(C,D,E)).
% 0.73/1.19 2 (wt=6) [] multiply(A,B,B) = B.
% 0.73/1.19 3 (wt=6) [] multiply(A,A,B) = A.
% 0.73/1.19 4 (wt=7) [] multiply(inverse(A),A,B) = B.
% 0.73/1.19 5 (wt=6) [] multiply(A,B,A) = A.
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 Passive:
% 0.73/1.19 end_of_list.
% 0.73/1.19
% 0.73/1.19 UNIT CONFLICT from 571 and 6 at 0.07 seconds.
% 0.73/1.19
% 0.73/1.19 ---------------- PROOF ----------------
% 0.73/1.19 % SZS output start Refutation
% See solution above
% 0.73/1.19 ------------ end of proof -------------
% 0.73/1.19
% 0.73/1.19
% 0.73/1.19 ------------- memory usage ------------
% 0.73/1.19 Memory dynamically allocated (tp_alloc): 1953.
% 0.73/1.19 type (bytes each) gets frees in use avail bytes
% 0.73/1.19 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.73/1.19 term ( 16) 89976 68204 21772 65 424.3 K
% 0.73/1.19 gen_ptr ( 8) 96626 8468 88158 28 689.0 K
% 0.73/1.19 context ( 808) 32712 32710 2 5 5.5 K
% 0.73/1.19 trail ( 12) 56269 56269 0 15 0.2 K
% 0.73/1.19 bt_node ( 68) 11736 11732 4 21 1.7 K
% 0.73/1.19 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.19 ac_match_free_vars_pos (4020)
% 0.73/1.19 0 0 0 0 0.0 K
% 0.73/1.19 discrim ( 12) 18732 367 18365 70 216.0 K
% 0.73/1.19 flat ( 40) 195778 195778 0 99 3.9 K
% 0.73/1.19 discrim_pos ( 12) 2983 2983 0 1 0.0 K
% 0.73/1.19 fpa_head ( 12) 1300 0 1300 0 15.2 K
% 0.73/1.19 fpa_tree ( 28) 1300 1300 0 9 0.2 K
% 0.73/1.19 fpa_pos ( 36) 927 927 0 1 0.0 K
% 0.73/1.19 literal ( 12) 2615 2044 571 1 6.7 K
% 0.73/1.19 clause ( 24) 2615 2044 571 1 13.4 K
% 0.73/1.19 list ( 12) 415 359 56 3 0.7 K
% 0.73/1.19 list_pos ( 20) 2114 105 2009 0 39.2 K
% 0.73/1.19 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.19
% 0.73/1.19 -------------- statistics -------------
% 0.73/1.19 Clauses input 6
% 0.73/1.19 Usable input 0
% 0.73/1.19 Sos input 6
% 0.73/1.19 Demodulators input 0
% 0.73/1.19 Passive input 0
% 0.73/1.19
% 0.73/1.19 Processed BS (before search) 6
% 0.73/1.19 Forward subsumed BS 0
% 0.73/1.19 Kept BS 6
% 0.73/1.19 New demodulators BS 5
% 0.73/1.19 Back demodulated BS 0
% 0.73/1.19
% 0.73/1.19 Clauses or pairs given 892
% 0.73/1.19 Clauses generated 1710
% 0.73/1.19 Forward subsumed 1145
% 0.73/1.19 Deleted by weight 0
% 0.73/1.19 Deleted by variable count 0
% 0.73/1.19 Kept 565
% 0.73/1.19 New demodulators 351
% 0.73/1.19 Back demodulated 21
% 0.73/1.19 Ordered paramod prunes 0
% 0.73/1.19 Basic paramod prunes 889
% 0.73/1.19 Prime paramod prunes 98
% 0.73/1.19 Semantic prunes 0
% 0.73/1.19
% 0.73/1.19 Rewrite attmepts 21502
% 0.73/1.19 Rewrites 2703
% 0.73/1.19
% 0.73/1.19 FPA overloads 0
% 0.73/1.19 FPA underloads 0
% 0.73/1.19
% 0.73/1.19 Usable size 0
% 0.73/1.19 Sos size 549
% 0.73/1.19 Demodulators size 341
% 0.73/1.19 Passive size 0
% 0.73/1.19 Disabled size 21
% 0.73/1.19
% 0.73/1.19 Proofs found 1
% 0.73/1.19
% 0.73/1.19 ----------- times (seconds) ----------- Wed Jun 1 19:53:31 2022
% 0.73/1.19
% 0.73/1.19 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.73/1.19 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.73/1.19 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.19 input time 0.00
% 0.73/1.19 paramodulation time 0.01
% 0.73/1.19 demodulation time 0.02
% 0.73/1.19 orient time 0.01
% 0.73/1.19 weigh time 0.00
% 0.73/1.19 forward subsume time 0.00
% 0.73/1.19 back demod find time 0.01
% 0.73/1.19 conflict time 0.00
% 0.73/1.19 LRPO time 0.00
% 0.73/1.19 store clause time 0.01
% 0.73/1.19 disable clause time 0.00
% 0.73/1.19 prime paramod time 0.00
% 0.73/1.19 semantics time 0.00
% 0.73/1.19
% 0.73/1.19 EQP interrupted
%------------------------------------------------------------------------------