TSTP Solution File: GRP520-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n014.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 08:47:48 EDT 2022
% Result : Unsatisfiable 0.42s 1.05s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 2 RR)
% Number of literals : 19 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)),C),
file('GRP520-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(b,a),multiply(a,b)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(inverse(multiply(A,D)),B),D))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D),C),multiply(A,multiply(D,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(8,plain,
equal(multiply(multiply(inverse(A),B),A),B),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(9,plain,
equal(multiply(multiply(inverse(A),B),multiply(multiply(inverse(B),C),A)),C),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(12,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(para,[status(thm),theory(equality)],[8,9]),
[iquote('para(8,9)')] ).
cnf(14,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,B))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(15,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(B),C)),
inference(para,[status(thm),theory(equality)],[8,14]),
[iquote('para(8,14)')] ).
cnf(16,plain,
equal(multiply(inverse(A),multiply(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),15]),
[iquote('back_demod(14),demod([15])')] ).
cnf(17,plain,
equal(multiply(inverse(multiply(multiply(inverse(multiply(A,B)),C),B)),C),A),
inference(para,[status(thm),theory(equality)],[8,14]),
[iquote('para(8,14)')] ).
cnf(19,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(para,[status(thm),theory(equality)],[16,16]),
[iquote('para(16,16)')] ).
cnf(21,plain,
equal(inverse(multiply(A,B)),multiply(inverse(A),inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,16]),1]),
[iquote('para(19,16),flip(1)')] ).
cnf(22,plain,
equal(multiply(multiply(multiply(multiply(inverse(inverse(A)),inverse(inverse(B))),inverse(C)),inverse(B)),C),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),21,21,21,21]),
[iquote('back_demod(17),demod([21,21,21,21])')] ).
cnf(30,plain,
equal(multiply(multiply(multiply(multiply(inverse(inverse(A)),inverse(inverse(B))),inverse(C)),D),C),multiply(A,multiply(D,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),21,21,21]),
[iquote('back_demod(4),demod([21,21,21])')] ).
cnf(31,plain,
equal(multiply(A,multiply(inverse(B),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),30]),
[iquote('back_demod(22),demod([30])')] ).
cnf(35,plain,
equal(multiply(multiply(inverse(A),B),multiply(C,A)),multiply(C,B)),
inference(para,[status(thm),theory(equality)],[16,9]),
[iquote('para(16,9)')] ).
cnf(43,plain,
equal(multiply(A,B),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,35]),21,12]),
[iquote('para(31,35),demod([21,12])')] ).
cnf(44,plain,
$false,
inference(conflict,[status(thm)],[43,2]),
[iquote('conflict(43,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n014.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 : Tue Jun 14 13:14:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.05 ----- EQP 0.9e, May 2009 -----
% 0.42/1.05 The job began on n014.cluster.edu, Tue Jun 14 13:14:52 2022
% 0.42/1.05 The command was "./eqp09e".
% 0.42/1.05
% 0.42/1.05 set(prolog_style_variables).
% 0.42/1.05 set(lrpo).
% 0.42/1.05 set(basic_paramod).
% 0.42/1.05 set(functional_subsume).
% 0.42/1.05 set(ordered_paramod).
% 0.42/1.05 set(prime_paramod).
% 0.42/1.05 set(para_pairs).
% 0.42/1.05 assign(pick_given_ratio,4).
% 0.42/1.05 clear(print_kept).
% 0.42/1.05 clear(print_new_demod).
% 0.42/1.05 clear(print_back_demod).
% 0.42/1.05 clear(print_given).
% 0.42/1.05 assign(max_mem,64000).
% 0.42/1.05 end_of_commands.
% 0.42/1.05
% 0.42/1.05 Usable:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Sos:
% 0.42/1.05 0 (wt=-1) [] multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C.
% 0.42/1.05 0 (wt=-1) [] -(multiply(a,b) = multiply(b,a)).
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Demodulators:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Passive:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Starting to process input.
% 0.42/1.05
% 0.42/1.05 ** KEPT: 1 (wt=12) [] multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C.
% 0.42/1.05 1 is a new demodulator.
% 0.42/1.05
% 0.42/1.05 ** KEPT: 2 (wt=7) [flip(1)] -(multiply(b,a) = multiply(a,b)).
% 0.42/1.05 ---------------- PROOF FOUND ----------------
% 0.42/1.05 % SZS status Unsatisfiable
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 After processing input:
% 0.42/1.05
% 0.42/1.05 Usable:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Sos:
% 0.42/1.05 2 (wt=7) [flip(1)] -(multiply(b,a) = multiply(a,b)).
% 0.42/1.05 1 (wt=12) [] multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C.
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Demodulators:
% 0.42/1.05 1 (wt=12) [] multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C.
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Passive:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 UNIT CONFLICT from 43 and 2 at 0.00 seconds.
% 0.42/1.05
% 0.42/1.05 ---------------- PROOF ----------------
% 0.42/1.05 % SZS output start Refutation
% See solution above
% 0.42/1.05 ------------ end of proof -------------
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 ------------- memory usage ------------
% 0.42/1.05 Memory dynamically allocated (tp_alloc): 488.
% 0.42/1.05 type (bytes each) gets frees in use avail bytes
% 0.42/1.05 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.42/1.05 term ( 16) 2300 1610 690 21 13.7 K
% 0.42/1.05 gen_ptr ( 8) 3510 623 2887 18 22.7 K
% 0.42/1.05 context ( 808) 1392 1390 2 4 4.7 K
% 0.42/1.05 trail ( 12) 319 319 0 5 0.1 K
% 0.42/1.05 bt_node ( 68) 486 483 3 12 1.0 K
% 0.42/1.05 ac_position (285432) 0 0 0 0 0.0 K
% 0.42/1.05 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.42/1.05 ac_match_free_vars_pos (4020)
% 0.42/1.05 0 0 0 0 0.0 K
% 0.42/1.05 discrim ( 12) 600 204 396 0 4.6 K
% 0.42/1.05 flat ( 40) 3872 3872 0 29 1.1 K
% 0.42/1.05 discrim_pos ( 12) 74 74 0 1 0.0 K
% 0.42/1.05 fpa_head ( 12) 340 0 340 0 4.0 K
% 0.42/1.05 fpa_tree ( 28) 124 124 0 15 0.4 K
% 0.42/1.05 fpa_pos ( 36) 71 71 0 1 0.0 K
% 0.42/1.05 literal ( 12) 133 90 43 1 0.5 K
% 0.42/1.05 clause ( 24) 133 90 43 1 1.0 K
% 0.42/1.05 list ( 12) 87 31 56 3 0.7 K
% 0.42/1.05 list_pos ( 20) 186 73 113 0 2.2 K
% 0.42/1.05 pair_index ( 40) 2 0 2 0 0.1 K
% 0.42/1.05
% 0.42/1.05 -------------- statistics -------------
% 0.42/1.05 Clauses input 2
% 0.42/1.05 Usable input 0
% 0.42/1.05 Sos input 2
% 0.42/1.05 Demodulators input 0
% 0.42/1.05 Passive input 0
% 0.42/1.05
% 0.42/1.05 Processed BS (before search) 2
% 0.42/1.05 Forward subsumed BS 0
% 0.42/1.05 Kept BS 2
% 0.42/1.05 New demodulators BS 1
% 0.42/1.05 Back demodulated BS 0
% 0.42/1.05
% 0.42/1.05 Clauses or pairs given 58
% 0.42/1.05 Clauses generated 77
% 0.42/1.05 Forward subsumed 36
% 0.42/1.05 Deleted by weight 0
% 0.42/1.05 Deleted by variable count 0
% 0.42/1.05 Kept 41
% 0.42/1.05 New demodulators 27
% 0.42/1.05 Back demodulated 15
% 0.42/1.05 Ordered paramod prunes 0
% 0.42/1.05 Basic paramod prunes 127
% 0.42/1.05 Prime paramod prunes 7
% 0.42/1.05 Semantic prunes 0
% 0.42/1.05
% 0.42/1.05 Rewrite attmepts 722
% 0.42/1.05 Rewrites 54
% 0.42/1.05
% 0.42/1.05 FPA overloads 0
% 0.42/1.05 FPA underloads 0
% 0.42/1.05
% 0.42/1.05 Usable size 0
% 0.42/1.05 Sos size 27
% 0.42/1.05 Demodulators size 17
% 0.42/1.05 Passive size 0
% 0.42/1.05 Disabled size 15
% 0.42/1.05
% 0.42/1.05 Proofs found 1
% 0.42/1.05
% 0.42/1.05 ----------- times (seconds) ----------- Tue Jun 14 13:14:52 2022
% 0.42/1.05
% 0.42/1.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/1.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/1.05 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.42/1.05 input time 0.00
% 0.42/1.05 paramodulation time 0.00
% 0.42/1.05 demodulation time 0.00
% 0.42/1.05 orient time 0.00
% 0.42/1.05 weigh time 0.00
% 0.42/1.05 forward subsume time 0.00
% 0.42/1.05 back demod find time 0.00
% 0.42/1.05 conflict time 0.00
% 0.42/1.05 LRPO time 0.00
% 0.42/1.05 store clause time 0.00
% 0.42/1.05 disable clause time 0.00
% 0.42/1.05 prime paramod time 0.00
% 0.42/1.05 semantics time 0.00
% 0.42/1.05
% 0.42/1.05 EQP interrupted
%------------------------------------------------------------------------------