TSTP Solution File: GRP188-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n022.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 0.70s 1.10s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP188-2.p',unknown),
[] ).
cnf(4,plain,
equal(greatest_lower_bound(A,B),greatest_lower_bound(B,A)),
file('GRP188-2.p',unknown),
[] ).
cnf(5,plain,
equal(least_upper_bound(A,B),least_upper_bound(B,A)),
file('GRP188-2.p',unknown),
[] ).
cnf(7,plain,
equal(least_upper_bound(least_upper_bound(A,B),C),least_upper_bound(A,least_upper_bound(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
equal(least_upper_bound(A,greatest_lower_bound(A,B)),A),
file('GRP188-2.p',unknown),
[] ).
cnf(11,plain,
equal(greatest_lower_bound(A,least_upper_bound(A,B)),A),
file('GRP188-2.p',unknown),
[] ).
cnf(19,plain,
~ equal(least_upper_bound(b,least_upper_bound(a,b)),least_upper_bound(a,b)),
file('GRP188-2.p',unknown),
[] ).
cnf(22,plain,
equal(least_upper_bound(A,greatest_lower_bound(B,A)),A),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(33,plain,
equal(least_upper_bound(A,least_upper_bound(B,A)),least_upper_bound(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,22]),7]),
[iquote('para(11,22),demod([7])')] ).
cnf(34,plain,
~ equal(least_upper_bound(b,a),least_upper_bound(a,b)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[19]),33]),
[iquote('back_demod(19),demod([33])')] ).
cnf(35,plain,
$false,
inference(conflict,[status(thm)],[34,5]),
[iquote('conflict(34,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n022.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 04:43:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/1.10 ----- EQP 0.9e, May 2009 -----
% 0.70/1.10 The job began on n022.cluster.edu, Mon Jun 13 04:43:04 2022
% 0.70/1.10 The command was "./eqp09e".
% 0.70/1.10
% 0.70/1.10 set(prolog_style_variables).
% 0.70/1.10 set(lrpo).
% 0.70/1.10 set(basic_paramod).
% 0.70/1.10 set(functional_subsume).
% 0.70/1.10 set(ordered_paramod).
% 0.70/1.10 set(prime_paramod).
% 0.70/1.10 set(para_pairs).
% 0.70/1.10 assign(pick_given_ratio,4).
% 0.70/1.10 clear(print_kept).
% 0.70/1.10 clear(print_new_demod).
% 0.70/1.10 clear(print_back_demod).
% 0.70/1.10 clear(print_given).
% 0.70/1.10 assign(max_mem,64000).
% 0.70/1.10 end_of_commands.
% 0.70/1.10
% 0.70/1.10 Usable:
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Sos:
% 0.70/1.10 0 (wt=-1) [] multiply(identity,A) = A.
% 0.70/1.10 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.70/1.10 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.70/1.10 0 (wt=-1) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.70/1.10 0 (wt=-1) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.70/1.10 0 (wt=-1) [] greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C).
% 0.70/1.10 0 (wt=-1) [] least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C).
% 0.70/1.10 0 (wt=-1) [] least_upper_bound(A,A) = A.
% 0.70/1.10 0 (wt=-1) [] greatest_lower_bound(A,A) = A.
% 0.70/1.10 0 (wt=-1) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.70/1.10 0 (wt=-1) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.70/1.10 0 (wt=-1) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 0 (wt=-1) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 0 (wt=-1) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 0 (wt=-1) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 0 (wt=-1) [] inverse(identity) = identity.
% 0.70/1.10 0 (wt=-1) [] inverse(inverse(A)) = A.
% 0.70/1.10 0 (wt=-1) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.70/1.10 0 (wt=-1) [] -(least_upper_bound(b,least_upper_bound(a,b)) = least_upper_bound(a,b)).
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Demodulators:
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Passive:
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Starting to process input.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.70/1.10 1 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.70/1.10 2 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.70/1.10 3 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.70/1.10 clause forward subsumed: 0 (wt=7) [flip(4)] greatest_lower_bound(B,A) = greatest_lower_bound(A,B).
% 0.70/1.10
% 0.70/1.10 ** KEPT: 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.70/1.10 clause forward subsumed: 0 (wt=7) [flip(5)] least_upper_bound(B,A) = least_upper_bound(A,B).
% 0.70/1.10
% 0.70/1.10 ** KEPT: 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.70/1.10 6 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.70/1.10 7 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.70/1.10 8 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.70/1.10 9 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.70/1.10 10 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.70/1.10 11 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 12 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 13 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 14 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 15 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 16 (wt=4) [] inverse(identity) = identity.
% 0.70/1.10 16 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.70/1.10 17 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.70/1.10 18 is a new demodulator.
% 0.70/1.10
% 0.70/1.10 ** KEPT: 19 (wt=9) [] -(least_upper_bound(b,least_upper_bound(a,b)) = least_upper_bound(a,b)).
% 0.70/1.10 ---------------- PROOF FOUND ----------------
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 After processing input:
% 0.70/1.10
% 0.70/1.10 Usable:
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Sos:
% 0.70/1.10 16 (wt=4) [] inverse(identity) = identity.
% 0.70/1.10 1 (wt=5) [] multiply(identity,A) = A.
% 0.70/1.10 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.70/1.10 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.70/1.10 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.70/1.10 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.70/1.10 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.70/1.10 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.70/1.10 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.70/1.10 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.70/1.10 19 (wt=9) [] -(least_upper_bound(b,least_upper_bound(a,b)) = least_upper_bound(a,b)).
% 0.70/1.10 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.70/1.10 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.70/1.10 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.70/1.10 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.70/1.10 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Demodulators:
% 0.70/1.10 1 (wt=5) [] multiply(identity,A) = A.
% 0.70/1.10 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.70/1.10 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.70/1.10 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.70/1.10 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.70/1.10 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.70/1.10 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.70/1.10 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.70/1.10 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.70/1.10 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.70/1.10 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.70/1.10 16 (wt=4) [] inverse(identity) = identity.
% 0.70/1.10 17 (wt=5) [] inverse(inverse(A)) = A.
% 0.70/1.10 18 (wt=10) [] inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)).
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 Passive:
% 0.70/1.10 end_of_list.
% 0.70/1.10
% 0.70/1.10 UNIT CONFLICT from 34 and 5 at 0.00 seconds.
% 0.70/1.10
% 0.70/1.10 ---------------- PROOF ----------------
% 0.70/1.10 % SZS output start Refutation
% See solution above
% 0.70/1.10 ------------ end of proof -------------
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 ------------- memory usage ------------
% 0.70/1.10 Memory dynamically allocated (tp_alloc): 488.
% 0.70/1.10 type (bytes each) gets frees in use avail bytes
% 0.70/1.10 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.70/1.10 term ( 16) 2050 1753 297 12 5.9 K
% 0.70/1.10 gen_ptr ( 8) 1166 338 828 10 6.5 K
% 0.70/1.10 context ( 808) 1031 1029 2 3 3.9 K
% 0.70/1.10 trail ( 12) 90 90 0 3 0.0 K
% 0.70/1.10 bt_node ( 68) 408 405 3 3 0.4 K
% 0.70/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.70/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.70/1.10 ac_match_free_vars_pos (4020)
% 0.70/1.10 0 0 0 0 0.0 K
% 0.70/1.10 discrim ( 12) 259 9 250 9 3.0 K
% 0.70/1.10 flat ( 40) 1030 1030 0 11 0.4 K
% 0.70/1.10 discrim_pos ( 12) 39 39 0 1 0.0 K
% 0.70/1.10 fpa_head ( 12) 192 0 192 0 2.2 K
% 0.70/1.10 fpa_tree ( 28) 50 50 0 9 0.2 K
% 0.70/1.10 fpa_pos ( 36) 58 58 0 1 0.0 K
% 0.70/1.10 literal ( 12) 113 79 34 0 0.4 K
% 0.70/1.10 clause ( 24) 113 79 34 0 0.8 K
% 0.70/1.10 list ( 12) 83 26 57 2 0.7 K
% 0.70/1.10 list_pos ( 20) 144 23 121 3 2.4 K
% 0.70/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.70/1.10
% 0.70/1.10 -------------- statistics -------------
% 0.70/1.10 Clauses input 19
% 0.70/1.10 Usable input 0
% 0.70/1.10 Sos input 19
% 0.70/1.10 Demodulators input 0
% 0.70/1.10 Passive input 0
% 0.70/1.10
% 0.70/1.10 Processed BS (before search) 21
% 0.70/1.10 Forward subsumed BS 2
% 0.70/1.10 Kept BS 19
% 0.70/1.10 New demodulators BS 16
% 0.70/1.10 Back demodulated BS 0
% 0.70/1.10
% 0.70/1.10 Clauses or pairs given 127
% 0.70/1.10 Clauses generated 53
% 0.70/1.10 Forward subsumed 38
% 0.70/1.10 Deleted by weight 0
% 0.70/1.10 Deleted by variable count 0
% 0.70/1.10 Kept 15
% 0.70/1.10 New demodulators 8
% 0.70/1.10 Back demodulated 1
% 0.70/1.10 Ordered paramod prunes 0
% 0.70/1.10 Basic paramod prunes 43
% 0.70/1.10 Prime paramod prunes 1
% 0.70/1.10 Semantic prunes 0
% 0.70/1.10
% 0.70/1.10 Rewrite attmepts 316
% 0.70/1.10 Rewrites 32
% 0.70/1.10
% 0.70/1.10 FPA overloads 0
% 0.70/1.10 FPA underloads 0
% 0.70/1.10
% 0.70/1.10 Usable size 0
% 0.70/1.10 Sos size 32
% 0.70/1.10 Demodulators size 24
% 0.70/1.10 Passive size 0
% 0.70/1.10 Disabled size 1
% 0.70/1.10
% 0.70/1.10 Proofs found 1
% 0.70/1.10
% 0.70/1.10 ----------- times (seconds) ----------- Mon Jun 13 04:43:04 2022
% 0.70/1.10
% 0.70/1.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.70/1.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.70/1.10 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.70/1.10 input time 0.00
% 0.70/1.10 paramodulation time 0.00
% 0.70/1.10 demodulation time 0.00
% 0.70/1.10 orient time 0.00
% 0.70/1.10 weigh time 0.00
% 0.70/1.10 forward subsume time 0.00
% 0.70/1.10 back demod find time 0.00
% 0.70/1.10 conflict time 0.00
% 0.70/1.10 LRPO time 0.00
% 0.70/1.10 store clause time 0.00
% 0.70/1.10 disable clause time 0.00
% 0.70/1.10 prime paramod time 0.00
% 0.70/1.10 semantics time 0.00
% 0.70/1.10
% 0.70/1.10 EQP interrupted
%------------------------------------------------------------------------------