TSTP Solution File: GRP596-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 08:48:08 EDT 2022
% Result : Unsatisfiable 0.83s 1.19s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 1
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 4 RR)
% Number of literals : 46 ( 0 equ; 3 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 : 135 ( 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('GRP596-1.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(b,a),multiply(a,b)),
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(18,plain,
equal(double_divide(multiply(A,double_divide(B,multiply(C,A))),C),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,5]),1]),
[iquote('para(6,5),flip(1)')] ).
cnf(19,plain,
equal(inverse(A),multiply(B,multiply(C,double_divide(A,multiply(B,C))))),
inference(para,[status(thm),theory(equality)],[18,2]),
[iquote('para(18,2)')] ).
cnf(20,plain,
equal(multiply(A,multiply(B,double_divide(C,multiply(A,B)))),inverse(C)),
inference(flip,[status(thm),theory(equality)],[19]),
[iquote('flip(19)')] ).
cnf(23,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(26,plain,
equal(inverse(A),multiply(multiply(B,C),double_divide(multiply(C,A),B))),
inference(para,[status(thm),theory(equality)],[23,2]),
[iquote('para(23,2)')] ).
cnf(27,plain,
equal(multiply(multiply(A,B),double_divide(multiply(B,C),A)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[26]),
[iquote('flip(26)')] ).
cnf(29,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(40,plain,
equal(multiply(multiply(multiply(multiply(A,B),C),double_divide(multiply(B,D),A)),D),C),
inference(para,[status(thm),theory(equality)],[23,3]),
[iquote('para(23,3)')] ).
cnf(49,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(55,plain,
equal(multiply(multiply(A,multiply(B,double_divide(C,A))),C),B),
inference(para,[status(thm),theory(equality)],[6,49]),
[iquote('para(6,49)')] ).
cnf(77,plain,
equal(multiply(inverse(A),double_divide(double_divide(multiply(B,A),C),C)),B),
inference(para,[status(thm),theory(equality)],[27,3]),
[iquote('para(27,3)')] ).
cnf(78,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)],[2,77]),
[iquote('para(2,77)')] ).
cnf(85,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)],[77,3]),
[iquote('para(77,3)')] ).
cnf(86,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)],[85]),
[iquote('flip(85)')] ).
cnf(96,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)],[29,2]),2]),1]),
[iquote('para(29,2),demod([2]),flip(1)')] ).
cnf(150,plain,
equal(multiply(multiply(A,double_divide(multiply(B,C),multiply(D,A))),C),double_divide(B,D)),
inference(para,[status(thm),theory(equality)],[23,5]),
[iquote('para(23,5)')] ).
cnf(209,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)],[49,40]),
[iquote('para(49,40)')] ).
cnf(210,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)],[209]),
[iquote('flip(209)')] ).
cnf(296,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)],[78,3]),
[iquote('para(78,3)')] ).
cnf(297,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)],[296]),
[iquote('flip(296)')] ).
cnf(313,plain,
equal(multiply(A,double_divide(double_divide(B,C),C)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[96,55]),
[iquote('para(96,55)')] ).
cnf(323,plain,
equal(multiply(inverse(A),multiply(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[77]),313]),
[iquote('back_demod(77),demod([313])')] ).
cnf(324,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(para,[status(thm),theory(equality)],[323,323]),
[iquote('para(323,323)')] ).
cnf(327,plain,
equal(inverse(multiply(A,B)),multiply(inverse(A),inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[324,323]),1]),
[iquote('para(324,323),flip(1)')] ).
cnf(380,plain,
equal(multiply(multiply(A,B),double_divide(B,inverse(C))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[323,3]),
[iquote('para(323,3)')] ).
cnf(381,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)],[86]),380]),
[iquote('back_demod(86),demod([380])')] ).
cnf(382,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)],[297]),381]),1]),
[iquote('back_demod(297),demod([381]),flip(1)')] ).
cnf(390,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)],[210]),382]),1]),
[iquote('back_demod(210),demod([382]),flip(1)')] ).
cnf(396,plain,
equal(multiply(A,double_divide(B,multiply(C,A))),double_divide(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[150]),390]),
[iquote('back_demod(150),demod([390])')] ).
cnf(448,plain,
equal(multiply(A,double_divide(B,A)),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),396]),
[iquote('back_demod(20),demod([396])')] ).
cnf(462,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[448,323]),2]),
[iquote('para(448,323),demod([2])')] ).
cnf(464,plain,
equal(multiply(inverse(inverse(A)),B),multiply(B,A)),
inference(para,[status(thm),theory(equality)],[462,323]),
[iquote('para(462,323)')] ).
cnf(465,plain,
equal(multiply(A,B),multiply(inverse(inverse(B)),A)),
inference(flip,[status(thm),theory(equality)],[464]),
[iquote('flip(464)')] ).
cnf(468,plain,
equal(multiply(A,inverse(inverse(B))),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[462,462]),
[iquote('para(462,462)')] ).
cnf(474,plain,
~ equal(multiply(inverse(inverse(a)),b),multiply(a,b)),
inference(para,[status(thm),theory(equality)],[465,4]),
[iquote('para(465,4)')] ).
cnf(491,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[465,323]),327,327,468,462]),
[iquote('para(465,323),demod([327,327,468,462])')] ).
cnf(496,plain,
~ equal(multiply(a,b),multiply(a,b)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[474]),491]),
[iquote('back_demod(474),demod([491])')] ).
cnf(497,plain,
$false,
inference(conflict,[status(thm)],[496]),
[iquote('xx_conflict(496)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 11:14:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.83/1.19 ----- EQP 0.9e, May 2009 -----
% 0.83/1.19 The job began on n025.cluster.edu, Mon Jun 13 11:14:39 2022
% 0.83/1.19 The command was "./eqp09e".
% 0.83/1.19
% 0.83/1.19 set(prolog_style_variables).
% 0.83/1.19 set(lrpo).
% 0.83/1.19 set(basic_paramod).
% 0.83/1.19 set(functional_subsume).
% 0.83/1.19 set(ordered_paramod).
% 0.83/1.19 set(prime_paramod).
% 0.83/1.19 set(para_pairs).
% 0.83/1.19 assign(pick_given_ratio,4).
% 0.83/1.19 clear(print_kept).
% 0.83/1.19 clear(print_new_demod).
% 0.83/1.19 clear(print_back_demod).
% 0.83/1.19 clear(print_given).
% 0.83/1.19 assign(max_mem,64000).
% 0.83/1.19 end_of_commands.
% 0.83/1.19
% 0.83/1.19 Usable:
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Sos:
% 0.83/1.19 0 (wt=-1) [] inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C.
% 0.83/1.19 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 0.83/1.19 0 (wt=-1) [] -(multiply(a,b) = multiply(b,a)).
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Demodulators:
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Passive:
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Starting to process input.
% 0.83/1.19
% 0.83/1.19 ** KEPT: 1 (wt=14) [] inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C.
% 0.83/1.19 1 is a new demodulator.
% 0.83/1.19
% 0.83/1.19 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.83/1.19 2 is a new demodulator.
% 0.83/1.19 -> 2 back demodulating 1.
% 0.83/1.19
% 0.83/1.19 ** KEPT: 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.83/1.19 3 is a new demodulator.
% 0.83/1.19
% 0.83/1.19 ** KEPT: 4 (wt=7) [flip(1)] -(multiply(b,a) = multiply(a,b)).
% 0.83/1.19 ---------------- PROOF FOUND ----------------
% 0.83/1.19 % SZS status Unsatisfiable
% 0.83/1.19
% 0.83/1.19
% 0.83/1.19 After processing input:
% 0.83/1.19
% 0.83/1.19 Usable:
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Sos:
% 0.83/1.19 4 (wt=7) [flip(1)] -(multiply(b,a) = multiply(a,b)).
% 0.83/1.19 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.83/1.19 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Demodulators:
% 0.83/1.19 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.83/1.19 3 (wt=11) [back_demod(1),demod([2,2,2])] multiply(multiply(multiply(A,B),C),double_divide(C,A)) = B.
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 Passive:
% 0.83/1.19 end_of_list.
% 0.83/1.19
% 0.83/1.19 UNIT CONFLICT from 496 and x=x at 0.02 seconds.
% 0.83/1.19
% 0.83/1.19 ---------------- PROOF ----------------
% 0.83/1.19 % SZS output start Refutation
% See solution above
% 0.83/1.20 ------------ end of proof -------------
% 0.83/1.20
% 0.83/1.20
% 0.83/1.20 ------------- memory usage ------------
% 0.83/1.20 Memory dynamically allocated (tp_alloc): 976.
% 0.83/1.20 type (bytes each) gets frees in use avail bytes
% 0.83/1.20 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.83/1.20 term ( 16) 22515 13481 9034 22 174.9 K
% 0.83/1.20 gen_ptr ( 8) 42002 5727 36275 45 283.8 K
% 0.83/1.20 context ( 808) 14311 14309 2 5 5.5 K
% 0.83/1.20 trail ( 12) 4150 4150 0 8 0.1 K
% 0.83/1.20 bt_node ( 68) 3821 3818 3 16 1.3 K
% 0.83/1.20 ac_position (285432) 0 0 0 0 0.0 K
% 0.83/1.20 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.83/1.20 ac_match_free_vars_pos (4020)
% 0.83/1.20 0 0 0 0 0.0 K
% 0.83/1.20 discrim ( 12) 6852 2362 4490 389 57.2 K
% 0.83/1.20 flat ( 40) 53138 53138 0 32 1.2 K
% 0.83/1.20 discrim_pos ( 12) 597 597 0 1 0.0 K
% 0.83/1.20 fpa_head ( 12) 2413 0 2413 0 28.3 K
% 0.83/1.20 fpa_tree ( 28) 2197 2197 0 25 0.7 K
% 0.83/1.20 fpa_pos ( 36) 701 701 0 1 0.0 K
% 0.83/1.20 literal ( 12) 1525 1029 496 1 5.8 K
% 0.83/1.20 clause ( 24) 1525 1029 496 1 11.6 K
% 0.83/1.20 list ( 12) 265 208 57 6 0.7 K
% 0.83/1.20 list_pos ( 20) 2061 774 1287 13 25.4 K
% 0.83/1.20 pair_index ( 40) 2 0 2 0 0.1 K
% 0.83/1.20
% 0.83/1.20 -------------- statistics -------------
% 0.83/1.20 Clauses input 3
% 0.83/1.20 Usable input 0
% 0.83/1.20 Sos input 3
% 0.83/1.20 Demodulators input 0
% 0.83/1.20 Passive input 0
% 0.83/1.20
% 0.83/1.20 Processed BS (before search) 4
% 0.83/1.20 Forward subsumed BS 0
% 0.83/1.20 Kept BS 4
% 0.83/1.20 New demodulators BS 3
% 0.83/1.20 Back demodulated BS 1
% 0.83/1.20
% 0.83/1.20 Clauses or pairs given 598
% 0.83/1.20 Clauses generated 819
% 0.83/1.20 Forward subsumed 327
% 0.83/1.20 Deleted by weight 0
% 0.83/1.20 Deleted by variable count 0
% 0.83/1.20 Kept 492
% 0.83/1.20 New demodulators 203
% 0.83/1.20 Back demodulated 169
% 0.83/1.20 Ordered paramod prunes 0
% 0.83/1.20 Basic paramod prunes 1996
% 0.83/1.20 Prime paramod prunes 7
% 0.83/1.20 Semantic prunes 0
% 0.83/1.20
% 0.83/1.20 Rewrite attmepts 7801
% 0.83/1.20 Rewrites 374
% 0.83/1.20
% 0.83/1.20 FPA overloads 0
% 0.83/1.20 FPA underloads 0
% 0.83/1.20
% 0.83/1.20 Usable size 0
% 0.83/1.20 Sos size 325
% 0.83/1.20 Demodulators size 133
% 0.83/1.20 Passive size 0
% 0.83/1.20 Disabled size 170
% 0.83/1.20
% 0.83/1.20 Proofs found 1
% 0.83/1.20
% 0.83/1.20 ----------- times (seconds) ----------- Mon Jun 13 11:14:39 2022
% 0.83/1.20
% 0.83/1.20 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.83/1.20 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.83/1.20 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.83/1.20 input time 0.00
% 0.83/1.20 paramodulation time 0.00
% 0.83/1.20 demodulation time 0.00
% 0.83/1.20 orient time 0.00
% 0.83/1.20 weigh time 0.00
% 0.83/1.20 forward subsume time 0.00
% 0.83/1.20 back demod find time 0.00
% 0.83/1.20 conflict time 0.00
% 0.83/1.20 LRPO time 0.00
% 0.83/1.20 store clause time 0.01
% 0.83/1.20 disable clause time 0.00
% 0.83/1.20 prime paramod time 0.00
% 0.83/1.20 semantics time 0.00
% 0.83/1.20
% 0.83/1.20 EQP interrupted
%------------------------------------------------------------------------------