TSTP Solution File: GRP185-3 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 08:45:50 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP185-3.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(inverse(A),A),identity),
file('GRP185-3.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
file('GRP185-3.p',unknown),
[] ).
cnf(5,plain,
equal(least_upper_bound(A,B),least_upper_bound(B,A)),
file('GRP185-3.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(11,plain,
equal(greatest_lower_bound(A,least_upper_bound(A,B)),A),
file('GRP185-3.p',unknown),
[] ).
cnf(12,plain,
equal(multiply(A,least_upper_bound(B,C)),least_upper_bound(multiply(A,B),multiply(A,C))),
file('GRP185-3.p',unknown),
[] ).
cnf(14,plain,
equal(multiply(least_upper_bound(A,B),C),least_upper_bound(multiply(A,C),multiply(B,C))),
file('GRP185-3.p',unknown),
[] ).
cnf(16,plain,
~ equal(greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,b),least_upper_bound(b,least_upper_bound(multiply(a,identity),identity)))),least_upper_bound(multiply(a,b),identity)),
inference(demod,[status(thm),theory(equality)],[12,14,1,14,1,7]),
[iquote('demod([12,14,1,14,1,7])')] ).
cnf(17,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,3]),1]),1]),
[iquote('para(2,3),demod([1]),flip(1)')] ).
cnf(29,plain,
equal(least_upper_bound(A,least_upper_bound(B,C)),least_upper_bound(C,least_upper_bound(A,B))),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(30,plain,
equal(least_upper_bound(A,least_upper_bound(B,C)),least_upper_bound(B,least_upper_bound(C,A))),
inference(flip,[status(thm),theory(equality)],[29]),
[iquote('flip(29)')] ).
cnf(35,plain,
equal(multiply(inverse(inverse(A)),identity),A),
inference(para,[status(thm),theory(equality)],[2,17]),
[iquote('para(2,17)')] ).
cnf(41,plain,
equal(greatest_lower_bound(least_upper_bound(A,B),least_upper_bound(A,least_upper_bound(B,C))),least_upper_bound(A,B)),
inference(para,[status(thm),theory(equality)],[7,11]),
[iquote('para(7,11)')] ).
cnf(47,plain,
equal(multiply(inverse(inverse(A)),B),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[17,17]),
[iquote('para(17,17)')] ).
cnf(48,plain,
equal(multiply(A,identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),47]),
[iquote('back_demod(35),demod([47])')] ).
cnf(49,plain,
~ equal(greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,b),least_upper_bound(b,least_upper_bound(a,identity)))),least_upper_bound(multiply(a,b),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),48]),
[iquote('back_demod(16),demod([48])')] ).
cnf(218,plain,
equal(greatest_lower_bound(least_upper_bound(A,B),least_upper_bound(A,least_upper_bound(C,least_upper_bound(D,B)))),least_upper_bound(A,B)),
inference(para,[status(thm),theory(equality)],[30,41]),
[iquote('para(30,41)')] ).
cnf(219,plain,
$false,
inference(conflict,[status(thm)],[218,49]),
[iquote('conflict(218,49)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP185-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 05:28:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.11 ----- EQP 0.9e, May 2009 -----
% 0.71/1.11 The job began on n017.cluster.edu, Mon Jun 13 05:28:08 2022
% 0.71/1.11 The command was "./eqp09e".
% 0.71/1.11
% 0.71/1.11 set(prolog_style_variables).
% 0.71/1.11 set(lrpo).
% 0.71/1.11 set(basic_paramod).
% 0.71/1.11 set(functional_subsume).
% 0.71/1.11 set(ordered_paramod).
% 0.71/1.11 set(prime_paramod).
% 0.71/1.11 set(para_pairs).
% 0.71/1.11 assign(pick_given_ratio,4).
% 0.71/1.11 clear(print_kept).
% 0.71/1.11 clear(print_new_demod).
% 0.71/1.11 clear(print_back_demod).
% 0.71/1.11 clear(print_given).
% 0.71/1.11 assign(max_mem,64000).
% 0.71/1.11 end_of_commands.
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 0 (wt=-1) [] multiply(identity,A) = A.
% 0.71/1.11 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.71/1.11 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.71/1.11 0 (wt=-1) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.71/1.11 0 (wt=-1) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.71/1.11 0 (wt=-1) [] greatest_lower_bound(A,greatest_lower_bound(B,C)) = greatest_lower_bound(greatest_lower_bound(A,B),C).
% 0.71/1.11 0 (wt=-1) [] least_upper_bound(A,least_upper_bound(B,C)) = least_upper_bound(least_upper_bound(A,B),C).
% 0.71/1.11 0 (wt=-1) [] least_upper_bound(A,A) = A.
% 0.71/1.11 0 (wt=-1) [] greatest_lower_bound(A,A) = A.
% 0.71/1.11 0 (wt=-1) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.71/1.11 0 (wt=-1) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.71/1.11 0 (wt=-1) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 0 (wt=-1) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 0 (wt=-1) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 0 (wt=-1) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 0 (wt=-1) [] -(greatest_lower_bound(least_upper_bound(multiply(a,b),identity),multiply(least_upper_bound(a,identity),least_upper_bound(b,identity))) = least_upper_bound(multiply(a,b),identity)).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Starting to process input.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.71/1.11 1 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.71/1.11 2 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.71/1.11 3 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.71/1.11 clause forward subsumed: 0 (wt=7) [flip(4)] greatest_lower_bound(B,A) = greatest_lower_bound(A,B).
% 0.71/1.11
% 0.71/1.11 ** KEPT: 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.71/1.11 clause forward subsumed: 0 (wt=7) [flip(5)] least_upper_bound(B,A) = least_upper_bound(A,B).
% 0.71/1.11
% 0.71/1.11 ** KEPT: 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.71/1.11 6 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.71/1.11 7 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.71/1.11 8 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.71/1.11 9 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.71/1.11 10 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.71/1.11 11 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 12 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 13 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 14 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 15 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 16 (wt=23) [demod([12,14,1,14,1,7])] -(greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,b),least_upper_bound(b,least_upper_bound(multiply(a,identity),identity)))) = least_upper_bound(multiply(a,b),identity)).
% 0.71/1.11 ---------------- PROOF FOUND ----------------
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 After processing input:
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 1 (wt=5) [] multiply(identity,A) = A.
% 0.71/1.11 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.71/1.11 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.71/1.11 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.71/1.11 4 (wt=7) [] greatest_lower_bound(A,B) = greatest_lower_bound(B,A).
% 0.71/1.11 5 (wt=7) [] least_upper_bound(A,B) = least_upper_bound(B,A).
% 0.71/1.11 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.71/1.11 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.71/1.11 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.71/1.11 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.71/1.11 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.71/1.11 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 16 (wt=23) [demod([12,14,1,14,1,7])] -(greatest_lower_bound(least_upper_bound(multiply(a,b),identity),least_upper_bound(multiply(a,b),least_upper_bound(b,least_upper_bound(multiply(a,identity),identity)))) = least_upper_bound(multiply(a,b),identity)).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 1 (wt=5) [] multiply(identity,A) = A.
% 0.71/1.11 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.71/1.11 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.71/1.11 6 (wt=11) [flip(1)] greatest_lower_bound(greatest_lower_bound(A,B),C) = greatest_lower_bound(A,greatest_lower_bound(B,C)).
% 0.71/1.11 7 (wt=11) [flip(1)] least_upper_bound(least_upper_bound(A,B),C) = least_upper_bound(A,least_upper_bound(B,C)).
% 0.71/1.11 8 (wt=5) [] least_upper_bound(A,A) = A.
% 0.71/1.11 9 (wt=5) [] greatest_lower_bound(A,A) = A.
% 0.71/1.11 10 (wt=7) [] least_upper_bound(A,greatest_lower_bound(A,B)) = A.
% 0.71/1.11 11 (wt=7) [] greatest_lower_bound(A,least_upper_bound(A,B)) = A.
% 0.71/1.11 12 (wt=13) [] multiply(A,least_upper_bound(B,C)) = least_upper_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 13 (wt=13) [] multiply(A,greatest_lower_bound(B,C)) = greatest_lower_bound(multiply(A,B),multiply(A,C)).
% 0.71/1.11 14 (wt=13) [] multiply(least_upper_bound(A,B),C) = least_upper_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 15 (wt=13) [] multiply(greatest_lower_bound(A,B),C) = greatest_lower_bound(multiply(A,C),multiply(B,C)).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 UNIT CONFLICT from 218 and 49 at 0.01 seconds.
% 0.71/1.11
% 0.71/1.11 ---------------- PROOF ----------------
% 0.71/1.11 % SZS output start Refutation
% See solution above
% 0.71/1.11 ------------ end of proof -------------
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 ------------- memory usage ------------
% 0.71/1.11 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.11 type (bytes each) gets frees in use avail bytes
% 0.71/1.11 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.71/1.11 term ( 16) 26509 23653 2856 25 55.4 K
% 0.71/1.11 gen_ptr ( 8) 15717 5740 9977 18 78.1 K
% 0.71/1.11 context ( 808) 19979 19977 2 5 5.5 K
% 0.71/1.11 trail ( 12) 1174 1174 0 4 0.0 K
% 0.71/1.11 bt_node ( 68) 8600 8597 3 6 0.6 K
% 0.71/1.11 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_free_vars_pos (4020)
% 0.71/1.11 0 0 0 0 0.0 K
% 0.71/1.11 discrim ( 12) 2114 134 1980 0 23.2 K
% 0.71/1.11 flat ( 40) 36821 36821 0 17 0.7 K
% 0.71/1.11 discrim_pos ( 12) 1579 1579 0 1 0.0 K
% 0.71/1.11 fpa_head ( 12) 875 0 875 0 10.3 K
% 0.71/1.11 fpa_tree ( 28) 425 425 0 25 0.7 K
% 0.71/1.11 fpa_pos ( 36) 393 393 0 1 0.0 K
% 0.71/1.11 literal ( 12) 1519 1301 218 1 2.6 K
% 0.71/1.11 clause ( 24) 1519 1301 218 1 5.1 K
% 0.71/1.11 list ( 12) 234 178 56 3 0.7 K
% 0.71/1.11 list_pos ( 20) 872 86 786 0 15.4 K
% 0.71/1.11 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.11
% 0.71/1.11 -------------- statistics -------------
% 0.71/1.11 Clauses input 16
% 0.71/1.11 Usable input 0
% 0.71/1.11 Sos input 16
% 0.71/1.11 Demodulators input 0
% 0.71/1.11 Passive input 0
% 0.71/1.11
% 0.71/1.11 Processed BS (before search) 18
% 0.71/1.11 Forward subsumed BS 2
% 0.71/1.11 Kept BS 16
% 0.71/1.11 New demodulators BS 13
% 0.71/1.11 Back demodulated BS 0
% 0.71/1.11
% 0.71/1.11 Clauses or pairs given 2230
% 0.71/1.11 Clauses generated 1060
% 0.71/1.11 Forward subsumed 858
% 0.71/1.11 Deleted by weight 0
% 0.71/1.11 Deleted by variable count 0
% 0.71/1.11 Kept 202
% 0.71/1.11 New demodulators 162
% 0.71/1.11 Back demodulated 15
% 0.71/1.11 Ordered paramod prunes 0
% 0.71/1.11 Basic paramod prunes 3642
% 0.71/1.11 Prime paramod prunes 38
% 0.71/1.11 Semantic prunes 0
% 0.71/1.11
% 0.71/1.11 Rewrite attmepts 7191
% 0.71/1.11 Rewrites 1386
% 0.71/1.11
% 0.71/1.11 FPA overloads 0
% 0.71/1.11 FPA underloads 0
% 0.71/1.11
% 0.71/1.11 Usable size 0
% 0.71/1.11 Sos size 202
% 0.71/1.11 Demodulators size 165
% 0.71/1.11 Passive size 0
% 0.71/1.11 Disabled size 15
% 0.71/1.11
% 0.71/1.11 Proofs found 1
% 0.71/1.11
% 0.71/1.11 ----------- times (seconds) ----------- Mon Jun 13 05:28:08 2022
% 0.71/1.11
% 0.71/1.11 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.11 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.71/1.11 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.11 input time 0.00
% 0.71/1.11 paramodulation time 0.00
% 0.71/1.11 demodulation time 0.00
% 0.71/1.11 orient time 0.00
% 0.71/1.11 weigh time 0.00
% 0.71/1.11 forward subsume time 0.00
% 0.71/1.11 back demod find time 0.00
% 0.71/1.11 conflict time 0.00
% 0.71/1.11 LRPO time 0.00
% 0.71/1.11 store clause time 0.00
% 0.71/1.11 disable clause time 0.00
% 0.71/1.11 prime paramod time 0.00
% 0.71/1.11 semantics time 0.00
% 0.71/1.11
% 0.71/1.11 EQP interrupted
%------------------------------------------------------------------------------