TSTP Solution File: GRP593-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP593-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n019.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 08:48:07 EDT 2022
% Result : Unsatisfiable 0.78s 1.16s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 6 RR)
% Number of literals : 35 ( 0 equ; 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))),C),
file('GRP593-1.p',unknown),
[] ).
cnf(2,plain,
equal(inverse(double_divide(A,B)),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(multiply(multiply(multiply(A,B),C),double_divide(C,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),2,2,2]),
[iquote('back_demod(1),demod([2,2,2])')] ).
cnf(4,plain,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(multiply(multiply(A,B),double_divide(B,multiply(multiply(C,A),D))),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(6,plain,
equal(multiply(A,double_divide(double_divide(B,C),multiply(C,A))),B),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(7,plain,
equal(multiply(multiply(A,B),double_divide(B,C)),double_divide(double_divide(A,D),multiply(D,C))),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(8,plain,
equal(double_divide(double_divide(A,B),multiply(B,C)),multiply(multiply(A,D),double_divide(D,C))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(25,plain,
equal(double_divide(double_divide(multiply(A,B),C),multiply(C,A)),B),
inference(para,[status(thm),theory(equality)],[7,3]),
[iquote('para(7,3)')] ).
cnf(28,plain,
equal(inverse(A),multiply(multiply(B,C),double_divide(multiply(C,A),B))),
inference(para,[status(thm),theory(equality)],[25,2]),
[iquote('para(25,2)')] ).
cnf(29,plain,
equal(multiply(multiply(A,B),double_divide(multiply(B,C),A)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[28]),
[iquote('flip(28)')] ).
cnf(33,plain,
equal(double_divide(double_divide(A,B),multiply(B,multiply(multiply(C,A),D))),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(38,plain,
~ equal(multiply(multiply(multiply(A,B),double_divide(multiply(B,b1),A)),b1),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[28,4]),
[iquote('para(28,4)')] ).
cnf(39,plain,
~ equal(multiply(inverse(a1),a1),multiply(multiply(multiply(A,B),double_divide(multiply(B,b1),A)),b1)),
inference(flip,[status(thm),theory(equality)],[38]),
[iquote('flip(38)')] ).
cnf(44,plain,
equal(multiply(multiply(multiply(multiply(A,B),C),double_divide(multiply(B,D),A)),D),C),
inference(para,[status(thm),theory(equality)],[25,3]),
[iquote('para(25,3)')] ).
cnf(53,plain,
equal(multiply(A,multiply(multiply(B,C),double_divide(C,A))),B),
inference(para,[status(thm),theory(equality)],[8,6]),
[iquote('para(8,6)')] ).
cnf(59,plain,
equal(multiply(multiply(A,multiply(B,double_divide(C,A))),C),B),
inference(para,[status(thm),theory(equality)],[6,53]),
[iquote('para(6,53)')] ).
cnf(74,plain,
equal(multiply(inverse(A),double_divide(double_divide(multiply(B,A),C),C)),B),
inference(para,[status(thm),theory(equality)],[29,3]),
[iquote('para(29,3)')] ).
cnf(75,plain,
equal(multiply(multiply(A,B),double_divide(double_divide(multiply(C,double_divide(B,A)),D),D)),C),
inference(para,[status(thm),theory(equality)],[2,74]),
[iquote('para(2,74)')] ).
cnf(80,plain,
equal(multiply(multiply(A,B),double_divide(B,inverse(C))),double_divide(double_divide(multiply(A,C),D),D)),
inference(para,[status(thm),theory(equality)],[74,3]),
[iquote('para(74,3)')] ).
cnf(81,plain,
equal(double_divide(double_divide(multiply(A,B),C),C),multiply(multiply(A,D),double_divide(D,inverse(B)))),
inference(flip,[status(thm),theory(equality)],[80]),
[iquote('flip(80)')] ).
cnf(86,plain,
equal(multiply(multiply(A,multiply(multiply(B,C),D)),double_divide(C,A)),multiply(B,D)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,2]),2]),1]),
[iquote('para(33,2),demod([2]),flip(1)')] ).
cnf(229,plain,
equal(multiply(multiply(A,double_divide(multiply(B,C),D)),C),multiply(multiply(A,E),double_divide(E,multiply(D,B)))),
inference(para,[status(thm),theory(equality)],[53,44]),
[iquote('para(53,44)')] ).
cnf(230,plain,
equal(multiply(multiply(A,B),double_divide(B,multiply(C,D))),multiply(multiply(A,double_divide(multiply(D,E),C)),E)),
inference(flip,[status(thm),theory(equality)],[229]),
[iquote('flip(229)')] ).
cnf(302,plain,
equal(multiply(multiply(A,B),double_divide(B,multiply(C,D))),double_divide(double_divide(multiply(A,double_divide(D,C)),E),E)),
inference(para,[status(thm),theory(equality)],[75,3]),
[iquote('para(75,3)')] ).
cnf(303,plain,
equal(double_divide(double_divide(multiply(A,double_divide(B,C)),D),D),multiply(multiply(A,E),double_divide(E,multiply(C,B)))),
inference(flip,[status(thm),theory(equality)],[302]),
[iquote('flip(302)')] ).
cnf(315,plain,
equal(multiply(A,double_divide(double_divide(B,C),C)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[86,59]),
[iquote('para(86,59)')] ).
cnf(325,plain,
equal(multiply(inverse(A),multiply(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[74]),315]),
[iquote('back_demod(74),demod([315])')] ).
cnf(377,plain,
equal(multiply(multiply(A,B),double_divide(B,inverse(C))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[325,3]),
[iquote('para(325,3)')] ).
cnf(378,plain,
equal(double_divide(double_divide(multiply(A,B),C),C),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[81]),377]),
[iquote('back_demod(81),demod([377])')] ).
cnf(379,plain,
equal(multiply(multiply(A,B),double_divide(B,multiply(C,D))),multiply(A,double_divide(D,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[303]),378]),1]),
[iquote('back_demod(303),demod([378]),flip(1)')] ).
cnf(387,plain,
equal(multiply(multiply(A,double_divide(multiply(B,C),D)),C),multiply(A,double_divide(B,D))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[230]),379]),1]),
[iquote('back_demod(230),demod([379]),flip(1)')] ).
cnf(452,plain,
~ equal(multiply(inverse(a1),a1),multiply(multiply(A,B),double_divide(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),387]),
[iquote('back_demod(39),demod([387])')] ).
cnf(453,plain,
~ equal(multiply(multiply(A,B),double_divide(B,A)),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[452]),
[iquote('flip(452)')] ).
cnf(454,plain,
$false,
inference(conflict,[status(thm)],[453,377]),
[iquote('conflict(453,377)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP593-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 10:41:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.78/1.16 ----- EQP 0.9e, May 2009 -----
% 0.78/1.16 The job began on n019.cluster.edu, Tue Jun 14 10:41:55 2022
% 0.78/1.16 The command was "./eqp09e".
% 0.78/1.16
% 0.78/1.16 set(prolog_style_variables).
% 0.78/1.16 set(lrpo).
% 0.78/1.16 set(basic_paramod).
% 0.78/1.16 set(functional_subsume).
% 0.78/1.16 set(ordered_paramod).
% 0.78/1.16 set(prime_paramod).
% 0.78/1.16 set(para_pairs).
% 0.78/1.16 assign(pick_given_ratio,4).
% 0.78/1.16 clear(print_kept).
% 0.78/1.16 clear(print_new_demod).
% 0.78/1.16 clear(print_back_demod).
% 0.78/1.16 clear(print_given).
% 0.78/1.16 assign(max_mem,64000).
% 0.78/1.16 end_of_commands.
% 0.78/1.16
% 0.78/1.16 Usable:
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Sos:
% 0.78/1.16 0 (wt=-1) [] inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C.
% 0.78/1.16 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 0.78/1.16 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Demodulators:
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Passive:
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Starting to process input.
% 0.78/1.16
% 0.78/1.16 ** KEPT: 1 (wt=14) [] inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C.
% 0.78/1.16 1 is a new demodulator.
% 0.78/1.16
% 0.78/1.16 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.78/1.16 2 is a new demodulator.
% 0.78/1.16 -> 2 back demodulating 1.
% 0.78/1.16
% 0.78/1.16 ** KEPT: 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.78/1.16 3 is a new demodulator.
% 0.78/1.16
% 0.78/1.16 ** KEPT: 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.78/1.16 ---------------- PROOF FOUND ----------------
% 0.78/1.16 % SZS status Unsatisfiable
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 After processing input:
% 0.78/1.16
% 0.78/1.16 Usable:
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Sos:
% 0.78/1.16 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.78/1.16 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.78/1.16 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Demodulators:
% 0.78/1.16 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.78/1.16 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 Passive:
% 0.78/1.16 end_of_list.
% 0.78/1.16
% 0.78/1.16 UNIT CONFLICT from 453 and 377 at 0.02 seconds.
% 0.78/1.16
% 0.78/1.16 ---------------- PROOF ----------------
% 0.78/1.16 % SZS output start Refutation
% See solution above
% 0.78/1.16 ------------ end of proof -------------
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 ------------- memory usage ------------
% 0.78/1.16 Memory dynamically allocated (tp_alloc): 976.
% 0.78/1.16 type (bytes each) gets frees in use avail bytes
% 0.78/1.16 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.78/1.16 term ( 16) 20405 12060 8345 22 161.6 K
% 0.78/1.16 gen_ptr ( 8) 38594 4876 33718 34 263.7 K
% 0.78/1.16 context ( 808) 13079 13077 2 5 5.5 K
% 0.78/1.16 trail ( 12) 3649 3649 0 8 0.1 K
% 0.78/1.16 bt_node ( 68) 3457 3454 3 16 1.3 K
% 0.78/1.16 ac_position (285432) 0 0 0 0 0.0 K
% 0.78/1.16 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.78/1.16 ac_match_free_vars_pos (4020)
% 0.78/1.16 0 0 0 0 0.0 K
% 0.78/1.16 discrim ( 12) 6361 2001 4360 488 56.8 K
% 0.78/1.16 flat ( 40) 48537 48537 0 32 1.2 K
% 0.78/1.16 discrim_pos ( 12) 525 525 0 1 0.0 K
% 0.78/1.16 fpa_head ( 12) 2424 0 2424 0 28.4 K
% 0.78/1.16 fpa_tree ( 28) 2164 2164 0 23 0.6 K
% 0.78/1.16 fpa_pos ( 36) 639 639 0 1 0.0 K
% 0.78/1.16 literal ( 12) 1355 902 453 0 5.3 K
% 0.78/1.16 clause ( 24) 1355 902 453 0 10.6 K
% 0.78/1.16 list ( 12) 245 185 60 3 0.7 K
% 0.78/1.16 list_pos ( 20) 1870 651 1219 41 24.6 K
% 0.78/1.16 pair_index ( 40) 2 0 2 0 0.1 K
% 0.78/1.16
% 0.78/1.16 -------------- statistics -------------
% 0.78/1.16 Clauses input 3
% 0.78/1.16 Usable input 0
% 0.78/1.16 Sos input 3
% 0.78/1.16 Demodulators input 0
% 0.78/1.16 Passive input 0
% 0.78/1.16
% 0.78/1.16 Processed BS (before search) 4
% 0.78/1.16 Forward subsumed BS 0
% 0.78/1.16 Kept BS 4
% 0.78/1.16 New demodulators BS 3
% 0.78/1.16 Back demodulated BS 1
% 0.78/1.16
% 0.78/1.16 Clauses or pairs given 497
% 0.78/1.16 Clauses generated 732
% 0.78/1.16 Forward subsumed 283
% 0.78/1.16 Deleted by weight 0
% 0.78/1.16 Deleted by variable count 0
% 0.78/1.16 Kept 449
% 0.78/1.16 New demodulators 183
% 0.78/1.16 Back demodulated 145
% 0.78/1.16 Ordered paramod prunes 0
% 0.78/1.16 Basic paramod prunes 1710
% 0.78/1.16 Prime paramod prunes 6
% 0.78/1.16 Semantic prunes 0
% 0.78/1.16
% 0.78/1.16 Rewrite attmepts 7140
% 0.78/1.16 Rewrites 325
% 0.78/1.16
% 0.78/1.16 FPA overloads 0
% 0.78/1.16 FPA underloads 0
% 0.78/1.16
% 0.78/1.16 Usable size 0
% 0.78/1.16 Sos size 306
% 0.78/1.16 Demodulators size 124
% 0.78/1.16 Passive size 0
% 0.78/1.16 Disabled size 146
% 0.78/1.16
% 0.78/1.16 Proofs found 1
% 0.78/1.16
% 0.78/1.16 ----------- times (seconds) ----------- Tue Jun 14 10:41:55 2022
% 0.78/1.16
% 0.78/1.16 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.78/1.16 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.78/1.16 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.78/1.16 input time 0.00
% 0.78/1.16 paramodulation time 0.00
% 0.78/1.16 demodulation time 0.01
% 0.78/1.16 orient time 0.00
% 0.78/1.16 weigh time 0.00
% 0.78/1.16 forward subsume time 0.00
% 0.78/1.16 back demod find time 0.00
% 0.78/1.16 conflict time 0.00
% 0.78/1.16 LRPO time 0.00
% 0.78/1.16 store clause time 0.00
% 0.78/1.16 disable clause time 0.00
% 0.78/1.16 prime paramod time 0.00
% 0.78/1.16 semantics time 0.00
% 0.78/1.16
% 0.78/1.16 EQP interrupted
%------------------------------------------------------------------------------