TSTP Solution File: GRP502-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP502-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 08:47:42 EDT 2022
% Result : Unsatisfiable 0.77s 1.41s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 1
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 2 RR)
% Number of literals : 44 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 174 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))),C),
file('GRP502-1.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(double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),2,2]),
[iquote('back_demod(1),demod([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(double_divide(double_divide(A,multiply(B,double_divide(C,D))),double_divide(multiply(D,C),multiply(double_divide(A,E),E))),B),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(6,plain,
equal(inverse(A),multiply(double_divide(inverse(B),multiply(double_divide(C,D),D)),double_divide(C,multiply(A,B)))),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(7,plain,
equal(multiply(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(B,multiply(D,A))),inverse(D)),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(21,plain,
equal(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(C),multiply(double_divide(D,F),F))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,3]),2]),
[iquote('para(7,3),demod([2])')] ).
cnf(22,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(double_divide(D,inverse(E)),double_divide(multiply(multiply(E,A),B),multiply(double_divide(D,F),F)))),
inference(flip,[status(thm),theory(equality)],[21]),
[iquote('flip(21)')] ).
cnf(28,plain,
equal(double_divide(double_divide(A,multiply(B,C)),double_divide(multiply(multiply(double_divide(C,B),D),E),multiply(double_divide(A,F),F))),double_divide(inverse(D),multiply(double_divide(E,G),G))),
inference(para,[status(thm),theory(equality)],[2,21]),
[iquote('para(2,21)')] ).
cnf(108,plain,
equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(inverse(F),multiply(double_divide(inverse(C),G),G))),double_divide(D,F)),
inference(para,[status(thm),theory(equality)],[22,3]),
[iquote('para(22,3)')] ).
cnf(125,plain,
equal(double_divide(double_divide(double_divide(A,inverse(B)),double_divide(multiply(multiply(B,C),D),multiply(double_divide(A,E),E))),double_divide(multiply(F,G),multiply(double_divide(inverse(C),H),H))),double_divide(D,double_divide(G,F))),
inference(para,[status(thm),theory(equality)],[2,108]),
[iquote('para(2,108)')] ).
cnf(398,plain,
equal(double_divide(inverse(A),multiply(double_divide(B,C),C)),double_divide(inverse(A),multiply(double_divide(B,D),D))),
inference(para,[status(thm),theory(equality)],[21,21]),
[iquote('para(21,21)')] ).
cnf(399,plain,
equal(multiply(multiply(double_divide(A,B),B),inverse(C)),multiply(multiply(double_divide(A,D),D),inverse(C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[398,2]),2]),
[iquote('para(398,2),demod([2])')] ).
cnf(406,plain,
equal(multiply(double_divide(A,B),B),multiply(double_divide(A,C),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[399,3]),3]),
[iquote('para(399,3),demod([3])')] ).
cnf(411,plain,
equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(inverse(D),multiply(double_divide(A,E),E))),double_divide(B,D)),
inference(para,[status(thm),theory(equality)],[406,3]),
[iquote('para(406,3)')] ).
cnf(416,plain,
equal(double_divide(double_divide(A,multiply(double_divide(B,C),C)),double_divide(multiply(D,E),multiply(double_divide(A,F),F))),double_divide(B,double_divide(E,D))),
inference(para,[status(thm),theory(equality)],[2,411]),
[iquote('para(2,411)')] ).
cnf(443,plain,
equal(double_divide(A,double_divide(B,double_divide(C,B))),double_divide(A,double_divide(D,double_divide(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[406,416]),416]),
[iquote('para(406,416),demod([416])')] ).
cnf(444,plain,
equal(multiply(double_divide(A,double_divide(B,A)),C),multiply(double_divide(D,double_divide(B,D)),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[443,2]),2]),
[iquote('para(443,2),demod([2])')] ).
cnf(477,plain,
equal(double_divide(A,double_divide(B,A)),double_divide(C,double_divide(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[444,3]),3]),
[iquote('para(444,3),demod([3])')] ).
cnf(653,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(C,double_divide(A,C)),D))),double_divide(inverse(D),multiply(double_divide(B,E),E))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,28]),125]),
[iquote('para(22,28),demod([125])')] ).
cnf(661,plain,
equal(double_divide(A,double_divide(B,multiply(double_divide(C,D),D))),double_divide(multiply(C,A),multiply(double_divide(B,E),E))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[406,653]),2]),
[iquote('para(406,653),demod([2])')] ).
cnf(663,plain,
equal(multiply(multiply(double_divide(A,B),B),multiply(C,D)),multiply(double_divide(A,multiply(double_divide(C,E),E)),D)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[661,2]),2]),
[iquote('para(661,2),demod([2])')] ).
cnf(1068,plain,
equal(double_divide(multiply(A,double_divide(A,multiply(B,C))),multiply(double_divide(inverse(C),D),D)),B),
inference(para,[status(thm),theory(equality)],[661,3]),
[iquote('para(661,3)')] ).
cnf(1069,plain,
equal(inverse(A),multiply(multiply(double_divide(inverse(B),C),C),multiply(D,double_divide(D,multiply(A,B))))),
inference(para,[status(thm),theory(equality)],[1068,2]),
[iquote('para(1068,2)')] ).
cnf(1070,plain,
equal(multiply(multiply(double_divide(inverse(A),B),B),multiply(C,double_divide(C,multiply(D,A)))),inverse(D)),
inference(flip,[status(thm),theory(equality)],[1069]),
[iquote('flip(1069)')] ).
cnf(1170,plain,
equal(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),D),B),
inference(para,[status(thm),theory(equality)],[1068,5]),
[iquote('para(1068,5)')] ).
cnf(1176,plain,
equal(multiply(double_divide(double_divide(inverse(A),multiply(B,double_divide(double_divide(C,multiply(D,A)),C))),E),E),multiply(B,D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1170,406]),1]),
[iquote('para(1170,406),flip(1)')] ).
cnf(1213,plain,
equal(double_divide(A,double_divide(inverse(B),multiply(A,multiply(C,B)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1170,3]),1176]),
[iquote('para(1170,3),demod([1176])')] ).
cnf(1336,plain,
equal(double_divide(multiply(double_divide(inverse(A),B),B),double_divide(multiply(multiply(C,A),D),inverse(C))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1070,1213]),2]),
[iquote('para(1070,1213),demod([2])')] ).
cnf(1923,plain,
equal(double_divide(multiply(double_divide(A,B),B),double_divide(inverse(C),multiply(double_divide(A,multiply(double_divide(D,E),E)),C))),D),
inference(para,[status(thm),theory(equality)],[663,1213]),
[iquote('para(663,1213)')] ).
cnf(2136,plain,
equal(double_divide(A,double_divide(inverse(multiply(double_divide(B,C),C)),A)),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1923,477]),1]),
[iquote('para(1923,477),flip(1)')] ).
cnf(2137,plain,
equal(multiply(double_divide(inverse(multiply(double_divide(A,B),B)),C),C),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2136,2]),1]),
[iquote('para(2136,2),flip(1)')] ).
cnf(2391,plain,
equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),inverse(C)),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2136,661]),2137]),1]),
[iquote('para(2136,661),demod([2137]),flip(1)')] ).
cnf(2393,plain,
equal(double_divide(multiply(A,multiply(double_divide(A,B),B)),multiply(C,D)),double_divide(D,C)),
inference(para,[status(thm),theory(equality)],[2,2391]),
[iquote('para(2,2391)')] ).
cnf(2678,plain,
equal(double_divide(multiply(double_divide(inverse(A),B),B),C),multiply(double_divide(multiply(C,A),D),D)),
inference(para,[status(thm),theory(equality)],[2391,1336]),
[iquote('para(2391,1336)')] ).
cnf(2680,plain,
equal(inverse(multiply(double_divide(multiply(A,B),C),C)),multiply(A,multiply(double_divide(inverse(B),D),D))),
inference(para,[status(thm),theory(equality)],[2678,2]),
[iquote('para(2678,2)')] ).
cnf(2681,plain,
equal(multiply(A,multiply(double_divide(inverse(B),C),C)),inverse(multiply(double_divide(multiply(A,B),D),D))),
inference(flip,[status(thm),theory(equality)],[2680]),
[iquote('flip(2680)')] ).
cnf(2724,plain,
equal(double_divide(inverse(multiply(double_divide(multiply(inverse(A),A),B),B)),inverse(C)),C),
inference(para,[status(thm),theory(equality)],[2681,2391]),
[iquote('para(2681,2391)')] ).
cnf(2727,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2724,406]),2137]),
[iquote('para(2724,406),demod([2137])')] ).
cnf(2728,plain,
equal(inverse(multiply(inverse(A),A)),multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[2727]),
[iquote('flip(2727)')] ).
cnf(2748,plain,
equal(double_divide(inverse(A),A),multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2728,2391]),2393]),
[iquote('para(2728,2391),demod([2393])')] ).
cnf(2752,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[2748,2748]),
[iquote('para(2748,2748)')] ).
cnf(2753,plain,
$false,
inference(conflict,[status(thm)],[2752,4]),
[iquote('conflict(2752,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP502-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n023.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 : Mon Jun 13 04:52:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.77/1.41 ----- EQP 0.9e, May 2009 -----
% 0.77/1.41 The job began on n023.cluster.edu, Mon Jun 13 04:52:37 2022
% 0.77/1.41 The command was "./eqp09e".
% 0.77/1.41
% 0.77/1.41 set(prolog_style_variables).
% 0.77/1.41 set(lrpo).
% 0.77/1.41 set(basic_paramod).
% 0.77/1.41 set(functional_subsume).
% 0.77/1.41 set(ordered_paramod).
% 0.77/1.41 set(prime_paramod).
% 0.77/1.41 set(para_pairs).
% 0.77/1.41 assign(pick_given_ratio,4).
% 0.77/1.41 clear(print_kept).
% 0.77/1.41 clear(print_new_demod).
% 0.77/1.41 clear(print_back_demod).
% 0.77/1.41 clear(print_given).
% 0.77/1.41 assign(max_mem,64000).
% 0.77/1.41 end_of_commands.
% 0.77/1.41
% 0.77/1.41 Usable:
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Sos:
% 0.77/1.41 0 (wt=-1) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 0.77/1.41 0 (wt=-1) [] multiply(A,B) = inverse(double_divide(B,A)).
% 0.77/1.41 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Demodulators:
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Passive:
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Starting to process input.
% 0.77/1.41
% 0.77/1.41 ** KEPT: 1 (wt=18) [] double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C.
% 0.77/1.41 1 is a new demodulator.
% 0.77/1.41
% 0.77/1.41 ** KEPT: 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.77/1.41 2 is a new demodulator.
% 0.77/1.41 -> 2 back demodulating 1.
% 0.77/1.41
% 0.77/1.41 ** KEPT: 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 0.77/1.41 3 is a new demodulator.
% 0.77/1.41
% 0.77/1.41 ** KEPT: 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.77/1.41 ---------------- PROOF FOUND ----------------
% 0.77/1.41 % SZS status Unsatisfiable
% 0.77/1.41
% 0.77/1.41
% 0.77/1.41 After processing input:
% 0.77/1.41
% 0.77/1.41 Usable:
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Sos:
% 0.77/1.41 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.77/1.41 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.77/1.41 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Demodulators:
% 0.77/1.41 2 (wt=8) [flip(1)] inverse(double_divide(A,B)) = multiply(B,A).
% 0.77/1.41 3 (wt=16) [back_demod(1),demod([2,2])] double_divide(double_divide(A,multiply(B,C)),double_divide(inverse(C),multiply(double_divide(A,D),D))) = B.
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 Passive:
% 0.77/1.41 end_of_list.
% 0.77/1.41
% 0.77/1.41 UNIT CONFLICT from 2752 and 4 at 0.18 seconds.
% 0.77/1.41
% 0.77/1.41 ---------------- PROOF ----------------
% 0.77/1.41 % SZS output start Refutation
% See solution above
% 0.77/1.41 ------------ end of proof -------------
% 0.77/1.41
% 0.77/1.41
% 0.77/1.41 ------------- memory usage ------------
% 0.77/1.41 Memory dynamically allocated (tp_alloc): 6347.
% 0.77/1.41 type (bytes each) gets frees in use avail bytes
% 0.77/1.41 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.77/1.41 term ( 16) 197446 115018 82428 34 1599.8 K
% 0.77/1.41 gen_ptr ( 8) 402537 10028 392509 43 3066.8 K
% 0.77/1.41 context ( 808) 138620 138618 2 3 3.9 K
% 0.77/1.41 trail ( 12) 5204 5204 0 15 0.2 K
% 0.77/1.41 bt_node ( 68) 35775 35771 4 31 2.3 K
% 0.77/1.41 ac_position (285432) 0 0 0 0 0.0 K
% 0.77/1.41 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.77/1.41 ac_match_free_vars_pos (4020)
% 0.77/1.41 0 0 0 0 0.0 K
% 0.77/1.41 discrim ( 12) 57202 793 56409 0 661.0 K
% 0.77/1.41 flat ( 40) 510365 510365 0 58 2.3 K
% 0.77/1.41 discrim_pos ( 12) 3186 3186 0 1 0.0 K
% 0.77/1.41 fpa_head ( 12) 10255 0 10255 0 120.2 K
% 0.77/1.41 fpa_tree ( 28) 8995 8995 0 51 1.4 K
% 0.77/1.41 fpa_pos ( 36) 3367 3367 0 1 0.0 K
% 0.77/1.41 literal ( 12) 9843 7091 2752 1 32.3 K
% 0.77/1.41 clause ( 24) 9843 7091 2752 1 64.5 K
% 0.77/1.41 list ( 12) 674 618 56 4 0.7 K
% 0.77/1.41 list_pos ( 20) 8985 236 8749 0 170.9 K
% 0.77/1.41 pair_index ( 40) 2 0 2 0 0.1 K
% 0.77/1.41
% 0.77/1.41 -------------- statistics -------------
% 0.77/1.41 Clauses input 3
% 0.77/1.41 Usable input 0
% 0.77/1.41 Sos input 3
% 0.77/1.41 Demodulators input 0
% 0.77/1.41 Passive input 0
% 0.77/1.41
% 0.77/1.41 Processed BS (before search) 4
% 0.77/1.41 Forward subsumed BS 0
% 0.77/1.41 Kept BS 4
% 0.77/1.41 New demodulators BS 3
% 0.77/1.41 Back demodulated BS 1
% 0.77/1.41
% 0.77/1.41 Clauses or pairs given 4876
% 0.77/1.41 Clauses generated 5127
% 0.77/1.41 Forward subsumed 2379
% 0.77/1.41 Deleted by weight 0
% 0.77/1.41 Deleted by variable count 0
% 0.77/1.41 Kept 2748
% 0.77/1.41 New demodulators 612
% 0.77/1.41 Back demodulated 56
% 0.77/1.41 Ordered paramod prunes 0
% 0.77/1.41 Basic paramod prunes 23461
% 0.77/1.41 Prime paramod prunes 13
% 0.77/1.41 Semantic prunes 0
% 0.77/1.41
% 0.77/1.41 Rewrite attmepts 78131
% 0.77/1.41 Rewrites 1152
% 0.77/1.41
% 0.77/1.41 FPA overloads 0
% 0.77/1.41 FPA underloads 0
% 0.77/1.41
% 0.77/1.41 Usable size 0
% 0.77/1.41 Sos size 2694
% 0.77/1.41 Demodulators size 610
% 0.77/1.41 Passive size 0
% 0.77/1.41 Disabled size 57
% 0.77/1.41
% 0.77/1.41 Proofs found 1
% 0.77/1.41
% 0.77/1.41 ----------- times (seconds) ----------- Mon Jun 13 04:52:37 2022
% 0.77/1.41
% 0.77/1.41 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 0.77/1.41 system CPU time 0.10 (0 hr, 0 min, 0 sec)
% 0.77/1.41 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.77/1.41 input time 0.00
% 0.77/1.41 paramodulation time 0.04
% 0.77/1.41 demodulation time 0.02
% 0.77/1.41 orient time 0.01
% 0.77/1.41 weigh time 0.00
% 0.77/1.41 forward subsume time 0.01
% 0.77/1.41 back demod find time 0.00
% 0.77/1.41 conflict time 0.01
% 0.77/1.41 LRPO time 0.00
% 0.77/1.41 store clause time 0.07
% 0.77/1.41 disable clause time 0.00
% 0.77/1.41 prime paramod time 0.01
% 0.77/1.41 semantics time 0.00
% 0.77/1.41
% 0.77/1.41 EQP interrupted
%------------------------------------------------------------------------------