TSTP Solution File: GRP186-4 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 08:45:51 EDT 2022
% Result : Unsatisfiable 0.43s 1.07s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP186-4.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(inverse(A),A),identity),
file('GRP186-4.p',unknown),
[] ).
cnf(5,plain,
equal(least_upper_bound(A,B),least_upper_bound(B,A)),
file('GRP186-4.p',unknown),
[] ).
cnf(12,plain,
equal(multiply(A,least_upper_bound(B,C)),least_upper_bound(multiply(A,B),multiply(A,C))),
file('GRP186-4.p',unknown),
[] ).
cnf(17,plain,
equal(inverse(inverse(A)),A),
file('GRP186-4.p',unknown),
[] ).
cnf(19,plain,
~ equal(least_upper_bound(multiply(a,inverse(a)),multiply(a,b)),least_upper_bound(multiply(a,b),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[12]),1]),
[iquote('demod([12]),flip(1)')] ).
cnf(20,plain,
equal(multiply(A,inverse(A)),identity),
inference(para,[status(thm),theory(equality)],[17,2]),
[iquote('para(17,2)')] ).
cnf(21,plain,
~ equal(least_upper_bound(multiply(a,b),identity),least_upper_bound(identity,multiply(a,b))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[19]),20]),1]),
[iquote('back_demod(19),demod([20]),flip(1)')] ).
cnf(22,plain,
$false,
inference(conflict,[status(thm)],[21,5]),
[iquote('conflict(21,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n014.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 10:46:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.07 ----- EQP 0.9e, May 2009 -----
% 0.43/1.07 The job began on n014.cluster.edu, Mon Jun 13 10:46:38 2022
% 0.43/1.07 The command was "./eqp09e".
% 0.43/1.07
% 0.43/1.07 set(prolog_style_variables).
% 0.43/1.07 set(lrpo).
% 0.43/1.07 set(basic_paramod).
% 0.43/1.07 set(functional_subsume).
% 0.43/1.07 set(ordered_paramod).
% 0.43/1.07 set(prime_paramod).
% 0.43/1.07 set(para_pairs).
% 0.43/1.07 assign(pick_given_ratio,4).
% 0.43/1.07 clear(print_kept).
% 0.43/1.07 clear(print_new_demod).
% 0.43/1.07 clear(print_back_demod).
% 0.43/1.07 clear(print_given).
% 0.43/1.07 assign(max_mem,64000).
% 0.43/1.07 end_of_commands.
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 0 (wt=-1) [] multiply(identity,A) = A.
% 0.43/1.07 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.43/1.07 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.07 0 (wt=-1) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.43/1.07 0 (wt=-1) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.43/1.07 0 (wt=-1) [] greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C).
% 0.43/1.07 0 (wt=-1) [] least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C).
% 0.43/1.07 0 (wt=-1) [] least_upper_bound(A,A) = A.
% 0.43/1.07 0 (wt=-1) [] greatest_lower_bound(A,A) = A.
% 0.43/1.07 0 (wt=-1) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.43/1.07 0 (wt=-1) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.43/1.07 0 (wt=-1) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 0 (wt=-1) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 0 (wt=-1) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 0 (wt=-1) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 0 (wt=-1) [] inverse(identity) = identity.
% 0.43/1.07 0 (wt=-1) [] inverse(inverse(A)) = A.
% 0.43/1.07 0 (wt=-1) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.43/1.07 0 (wt=-1) [] -(least_upper_bound(multiply(a,b),identity) = multiply(a,least_upper_bound(inverse(a),b))).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Starting to process input.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.07 1 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.07 2 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.07 3 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.43/1.07 clause forward subsumed: 0 (wt=7) [flip(4)] greatest_lower_bound(B,A) = greatest_lower_bound(A,B).
% 0.43/1.07
% 0.43/1.07 ** KEPT: 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.43/1.07 clause forward subsumed: 0 (wt=7) [flip(5)] least_upper_bound(B,A) = least_upper_bound(A,B).
% 0.43/1.07
% 0.43/1.07 ** KEPT: 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.43/1.07 6 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.43/1.07 7 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.43/1.07 8 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.43/1.07 9 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.43/1.07 10 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.43/1.07 11 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 12 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 13 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 14 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 15 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 16 (wt=4) [] inverse(identity) = identity.
% 0.43/1.07 16 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.43/1.07 17 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.43/1.07 18 is a new demodulator.
% 0.43/1.07
% 0.43/1.07 ** KEPT: 19 (wt=14) [demod([12]),flip(1)] -(least_upper_bound(multiply(a,inverse(a)),multiply(a,b)) = least_upper_bound(multiply(a,b),identity)).
% 0.43/1.07 ---------------- PROOF FOUND ----------------
% 0.43/1.07 % SZS status Unsatisfiable
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 After processing input:
% 0.43/1.07
% 0.43/1.07 Usable:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Sos:
% 0.43/1.07 16 (wt=4) [] inverse(identity) = identity.
% 0.43/1.07 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.07 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.43/1.07 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.43/1.07 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.43/1.07 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.07 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.43/1.07 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.43/1.07 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.43/1.07 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.43/1.07 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.43/1.07 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.07 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.43/1.07 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.43/1.07 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 19 (wt=14) [demod([12]),flip(1)] -(least_upper_bound(multiply(a,inverse(a)),multiply(a,b)) = least_upper_bound(multiply(a,b),identity)).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Demodulators:
% 0.43/1.07 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.07 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.07 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.07 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.43/1.07 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.43/1.07 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.43/1.07 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.43/1.07 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.43/1.07 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.43/1.07 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.43/1.07 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.43/1.07 16 (wt=4) [] inverse(identity) = identity.
% 0.43/1.07 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.43/1.07 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 Passive:
% 0.43/1.07 end_of_list.
% 0.43/1.07
% 0.43/1.07 UNIT CONFLICT from 21 and 5 at 0.00 seconds.
% 0.43/1.07
% 0.43/1.07 ---------------- PROOF ----------------
% 0.43/1.07 % SZS output start Refutation
% See solution above
% 0.43/1.07 ------------ end of proof -------------
% 0.43/1.07
% 0.43/1.07
% 0.43/1.07 ------------- memory usage ------------
% 0.43/1.07 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.07 type (bytes each) gets frees in use avail bytes
% 0.43/1.07 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.43/1.07 term ( 16) 1456 1268 188 15 3.9 K
% 0.43/1.07 gen_ptr ( 8) 703 213 490 9 3.9 K
% 0.43/1.07 context ( 808) 338 336 2 2 3.2 K
% 0.43/1.07 trail ( 12) 53 53 0 3 0.0 K
% 0.43/1.07 bt_node ( 68) 82 80 2 3 0.3 K
% 0.43/1.07 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.07 ac_match_free_vars_pos (4020)
% 0.43/1.07 0 0 0 0 0.0 K
% 0.43/1.07 discrim ( 12) 191 14 177 14 2.2 K
% 0.43/1.07 flat ( 40) 369 369 0 7 0.3 K
% 0.43/1.07 discrim_pos ( 12) 7 7 0 1 0.0 K
% 0.43/1.07 fpa_head ( 12) 182 0 182 0 2.1 K
% 0.43/1.07 fpa_tree ( 28) 43 43 0 13 0.4 K
% 0.43/1.07 fpa_pos ( 36) 38 38 0 1 0.0 K
% 0.43/1.07 literal ( 12) 55 34 21 0 0.2 K
% 0.43/1.07 clause ( 24) 55 34 21 0 0.5 K
% 0.43/1.07 list ( 12) 76 19 57 2 0.7 K
% 0.43/1.07 list_pos ( 20) 98 23 75 3 1.5 K
% 0.43/1.07 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.07
% 0.43/1.07 -------------- statistics -------------
% 0.43/1.07 Clauses input 19
% 0.43/1.07 Usable input 0
% 0.43/1.07 Sos input 19
% 0.43/1.07 Demodulators input 0
% 0.43/1.07 Passive input 0
% 0.43/1.07
% 0.43/1.07 Processed BS (before search) 21
% 0.43/1.07 Forward subsumed BS 2
% 0.43/1.07 Kept BS 19
% 0.43/1.07 New demodulators BS 16
% 0.43/1.07 Back demodulated BS 0
% 0.43/1.07
% 0.43/1.07 Clauses or pairs given 22
% 0.43/1.07 Clauses generated 13
% 0.43/1.07 Forward subsumed 11
% 0.43/1.07 Deleted by weight 0
% 0.43/1.07 Deleted by variable count 0
% 0.43/1.07 Kept 2
% 0.43/1.07 New demodulators 1
% 0.43/1.07 Back demodulated 1
% 0.43/1.07 Ordered paramod prunes 0
% 0.43/1.07 Basic paramod prunes 0
% 0.43/1.07 Prime paramod prunes 0
% 0.43/1.07 Semantic prunes 0
% 0.43/1.07
% 0.43/1.07 Rewrite attmepts 146
% 0.43/1.07 Rewrites 5
% 0.43/1.07
% 0.43/1.07 FPA overloads 0
% 0.43/1.07 FPA underloads 0
% 0.43/1.07
% 0.43/1.07 Usable size 0
% 0.43/1.07 Sos size 19
% 0.43/1.07 Demodulators size 17
% 0.43/1.07 Passive size 0
% 0.43/1.07 Disabled size 1
% 0.43/1.07
% 0.43/1.07 Proofs found 1
% 0.43/1.07
% 0.43/1.07 ----------- times (seconds) ----------- Mon Jun 13 10:46:38 2022
% 0.43/1.07
% 0.43/1.07 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.07 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.07 input time 0.00
% 0.43/1.07 paramodulation time 0.00
% 0.43/1.07 demodulation time 0.00
% 0.43/1.07 orient time 0.00
% 0.43/1.07 weigh time 0.00
% 0.43/1.07 forward subsume time 0.00
% 0.43/1.07 back demod find time 0.00
% 0.43/1.07 conflict time 0.00
% 0.43/1.07 LRPO time 0.00
% 0.43/1.07 store clause time 0.00
% 0.43/1.07 disable clause time 0.00
% 0.43/1.07 prime paramod time 0.00
% 0.43/1.07 semantics time 0.00
% 0.43/1.07
% 0.43/1.07 EQP interrupted
%------------------------------------------------------------------------------