TSTP Solution File: GRP158-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n011.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 08:45:34 EDT 2022
% Result : Unsatisfiable 0.54s 0.96s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 1 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; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP158-1.p',unknown),
[] ).
cnf(13,plain,
equal(multiply(A,greatest_lower_bound(B,C)),greatest_lower_bound(multiply(A,B),multiply(A,C))),
file('GRP158-1.p',unknown),
[] ).
cnf(16,plain,
equal(greatest_lower_bound(a,b),a),
file('GRP158-1.p',unknown),
[] ).
cnf(17,plain,
~ equal(greatest_lower_bound(multiply(c,a),multiply(c,b)),multiply(c,a)),
file('GRP158-1.p',unknown),
[] ).
cnf(60,plain,
equal(greatest_lower_bound(multiply(A,a),multiply(A,b)),multiply(A,a)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,13]),1]),
[iquote('para(16,13),flip(1)')] ).
cnf(61,plain,
$false,
inference(conflict,[status(thm)],[60,17]),
[iquote('conflict(60,17)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.06 % Problem : GRP158-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.07 % Command : tptp2X_and_run_eqp %s
% 0.06/0.25 % Computer : n011.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Mon Jun 13 08:17:48 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.54/0.96 ----- EQP 0.9e, May 2009 -----
% 0.54/0.96 The job began on n011.cluster.edu, Mon Jun 13 08:17:49 2022
% 0.54/0.96 The command was "./eqp09e".
% 0.54/0.96
% 0.54/0.96 set(prolog_style_variables).
% 0.54/0.96 set(lrpo).
% 0.54/0.96 set(basic_paramod).
% 0.54/0.96 set(functional_subsume).
% 0.54/0.96 set(ordered_paramod).
% 0.54/0.96 set(prime_paramod).
% 0.54/0.96 set(para_pairs).
% 0.54/0.96 assign(pick_given_ratio,4).
% 0.54/0.96 clear(print_kept).
% 0.54/0.96 clear(print_new_demod).
% 0.54/0.96 clear(print_back_demod).
% 0.54/0.96 clear(print_given).
% 0.54/0.96 assign(max_mem,64000).
% 0.54/0.96 end_of_commands.
% 0.54/0.96
% 0.54/0.96 Usable:
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Sos:
% 0.54/0.96 0 (wt=-1) [] multiply(identity,A) = A.
% 0.54/0.96 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.54/0.96 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.54/0.96 0 (wt=-1) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.54/0.96 0 (wt=-1) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.54/0.96 0 (wt=-1) [] greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C).
% 0.54/0.96 0 (wt=-1) [] least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C).
% 0.54/0.96 0 (wt=-1) [] least_upper_bound(A,A) = A.
% 0.54/0.96 0 (wt=-1) [] greatest_lower_bound(A,A) = A.
% 0.54/0.96 0 (wt=-1) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.54/0.96 0 (wt=-1) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.54/0.96 0 (wt=-1) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 0 (wt=-1) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 0 (wt=-1) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 0 (wt=-1) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 0 (wt=-1) [] greatest_lower_bound(a,b) = a.
% 0.54/0.96 0 (wt=-1) [] -(greatest_lower_bound(multiply(c,a),multiply(c,b)) = multiply(c,a)).
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Demodulators:
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Passive:
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Starting to process input.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.54/0.96 1 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.54/0.96 2 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.54/0.96 3 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.54/0.96 clause forward subsumed: 0 (wt=7) [flip(4)] greatest_lower_bound(B,A) = greatest_lower_bound(A,B).
% 0.54/0.96
% 0.54/0.96 ** KEPT: 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.54/0.96 clause forward subsumed: 0 (wt=7) [flip(5)] least_upper_bound(B,A) = least_upper_bound(A,B).
% 0.54/0.96
% 0.54/0.96 ** KEPT: 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.54/0.96 6 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.54/0.96 7 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.54/0.96 8 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.54/0.96 9 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.54/0.96 10 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.54/0.96 11 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 12 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 13 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 14 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 15 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 16 (wt=5) [] greatest_lower_bound(a,b) = a.
% 0.54/0.96 16 is a new demodulator.
% 0.54/0.96
% 0.54/0.96 ** KEPT: 17 (wt=11) [] -(greatest_lower_bound(multiply(c,a),multiply(c,b)) = multiply(c,a)).
% 0.54/0.96 ---------------- PROOF FOUND ----------------
% 0.54/0.96 % SZS status Unsatisfiable
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 After processing input:
% 0.54/0.96
% 0.54/0.96 Usable:
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Sos:
% 0.54/0.96 1 (wt=5) [] multiply(identity,A) = A.
% 0.54/0.96 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.54/0.96 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.54/0.96 16 (wt=5) [] greatest_lower_bound(a,b) = a.
% 0.54/0.96 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.54/0.96 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.54/0.96 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.54/0.96 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.54/0.96 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.54/0.96 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.54/0.96 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.54/0.96 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.54/0.96 17 (wt=11) [] -(greatest_lower_bound(multiply(c,a),multiply(c,b)) = multiply(c,a)).
% 0.54/0.96 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Demodulators:
% 0.54/0.96 1 (wt=5) [] multiply(identity,A) = A.
% 0.54/0.96 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.54/0.96 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.54/0.96 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.54/0.96 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.54/0.96 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.54/0.96 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.54/0.96 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.54/0.96 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.54/0.96 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.54/0.96 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.54/0.96 16 (wt=5) [] greatest_lower_bound(a,b) = a.
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 Passive:
% 0.54/0.96 end_of_list.
% 0.54/0.96
% 0.54/0.96 UNIT CONFLICT from 60 and 17 at 0.00 seconds.
% 0.54/0.96
% 0.54/0.96 ---------------- PROOF ----------------
% 0.54/0.96 % SZS output start Refutation
% See solution above
% 0.54/0.96 ------------ end of proof -------------
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 ------------- memory usage ------------
% 0.54/0.96 Memory dynamically allocated (tp_alloc): 488.
% 0.54/0.96 type (bytes each) gets frees in use avail bytes
% 0.54/0.96 sym_ent ( 96) 59 0 59 0 5.5 K
% 0.54/0.96 term ( 16) 4448 3862 586 22 11.6 K
% 0.54/0.96 gen_ptr ( 8) 2839 982 1857 5 14.5 K
% 0.54/0.96 context ( 808) 3553 3551 2 3 3.9 K
% 0.54/0.96 trail ( 12) 195 195 0 4 0.0 K
% 0.54/0.96 bt_node ( 68) 1520 1517 3 3 0.4 K
% 0.54/0.96 ac_position (285432) 0 0 0 0 0.0 K
% 0.54/0.96 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.54/0.96 ac_match_free_vars_pos (4020)
% 0.54/0.96 0 0 0 0 0.0 K
% 0.54/0.96 discrim ( 12) 551 47 504 0 5.9 K
% 0.54/0.96 flat ( 40) 4190 4190 0 13 0.5 K
% 0.54/0.96 discrim_pos ( 12) 204 204 0 1 0.0 K
% 0.54/0.96 fpa_head ( 12) 390 0 390 0 4.6 K
% 0.54/0.96 fpa_tree ( 28) 95 95 0 7 0.2 K
% 0.54/0.96 fpa_pos ( 36) 110 110 0 1 0.0 K
% 0.54/0.96 literal ( 12) 276 216 60 1 0.7 K
% 0.54/0.96 clause ( 24) 276 216 60 1 1.4 K
% 0.54/0.96 list ( 12) 109 53 56 3 0.7 K
% 0.54/0.96 list_pos ( 20) 258 52 206 0 4.0 K
% 0.54/0.96 pair_index ( 40) 2 0 2 0 0.1 K
% 0.54/0.96
% 0.54/0.96 -------------- statistics -------------
% 0.54/0.96 Clauses input 17
% 0.54/0.96 Usable input 0
% 0.54/0.96 Sos input 17
% 0.54/0.96 Demodulators input 0
% 0.54/0.96 Passive input 0
% 0.54/0.96
% 0.54/0.96 Processed BS (before search) 19
% 0.54/0.96 Forward subsumed BS 2
% 0.54/0.96 Kept BS 17
% 0.54/0.96 New demodulators BS 14
% 0.54/0.96 Back demodulated BS 0
% 0.54/0.96
% 0.54/0.96 Clauses or pairs given 480
% 0.54/0.96 Clauses generated 172
% 0.54/0.96 Forward subsumed 129
% 0.54/0.96 Deleted by weight 0
% 0.54/0.96 Deleted by variable count 0
% 0.54/0.96 Kept 43
% 0.54/0.96 New demodulators 36
% 0.54/0.96 Back demodulated 7
% 0.54/0.96 Ordered paramod prunes 0
% 0.54/0.96 Basic paramod prunes 623
% 0.54/0.96 Prime paramod prunes 4
% 0.54/0.96 Semantic prunes 0
% 0.54/0.96
% 0.54/0.96 Rewrite attmepts 1160
% 0.54/0.96 Rewrites 188
% 0.54/0.96
% 0.54/0.96 FPA overloads 0
% 0.54/0.96 FPA underloads 0
% 0.54/0.96
% 0.54/0.96 Usable size 0
% 0.54/0.96 Sos size 52
% 0.54/0.96 Demodulators size 43
% 0.54/0.96 Passive size 0
% 0.54/0.96 Disabled size 7
% 0.54/0.96
% 0.54/0.96 Proofs found 1
% 0.54/0.96
% 0.54/0.96 ----------- times (seconds) ----------- Mon Jun 13 08:17:49 2022
% 0.54/0.96
% 0.54/0.96 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.54/0.96 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.54/0.96 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.54/0.96 input time 0.00
% 0.54/0.96 paramodulation time 0.00
% 0.54/0.96 demodulation time 0.00
% 0.54/0.96 orient time 0.00
% 0.54/0.96 weigh time 0.00
% 0.54/0.96 forward subsume time 0.00
% 0.54/0.96 back demod find time 0.00
% 0.54/0.96 conflict time 0.00
% 0.54/0.96 LRPO time 0.00
% 0.54/0.96 store clause time 0.00
% 0.54/0.96 disable clause time 0.00
% 0.54/0.96 prime paramod time 0.00
% 0.54/0.96 semantics time 0.00
% 0.54/0.96
% 0.54/0.96 EQP interrupted
%------------------------------------------------------------------------------