TSTP Solution File: GRP562-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 08:47:59 EDT 2022
% Result : Unsatisfiable 0.42s 1.05s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(divide(A,inverse(B)),C),divide(A,C)),B),
file('GRP562-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,inverse(B))),
file('GRP562-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP562-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(multiply(divide(inverse(b2),inverse(b2)),a2),a2),
inference(para,[status(thm),theory(equality)],[2,4]),
[iquote('para(2,4)')] ).
cnf(7,plain,
equal(divide(divide(divide(divide(divide(A,inverse(B)),C),inverse(D)),divide(A,C)),B),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(divide(divide(multiply(A,B),C),divide(A,C)),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(30,plain,
equal(divide(divide(A,inverse(B)),A),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,7]),1]),
[iquote('para(7,7),demod([1])')] ).
cnf(32,plain,
equal(divide(multiply(A,B),A),B),
inference(para,[status(thm),theory(equality)],[3,30]),
[iquote('para(3,30)')] ).
cnf(44,plain,
equal(divide(A,divide(B,B)),A),
inference(para,[status(thm),theory(equality)],[32,9]),
[iquote('para(32,9)')] ).
cnf(46,plain,
equal(multiply(divide(A,A),B),B),
inference(para,[status(thm),theory(equality)],[44,32]),
[iquote('para(44,32)')] ).
cnf(47,plain,
$false,
inference(conflict,[status(thm)],[46,5]),
[iquote('conflict(46,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP562-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 10:01:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.05 ----- EQP 0.9e, May 2009 -----
% 0.42/1.05 The job began on n028.cluster.edu, Mon Jun 13 10:01:23 2022
% 0.42/1.05 The command was "./eqp09e".
% 0.42/1.05
% 0.42/1.05 set(prolog_style_variables).
% 0.42/1.05 set(lrpo).
% 0.42/1.05 set(basic_paramod).
% 0.42/1.05 set(functional_subsume).
% 0.42/1.05 set(ordered_paramod).
% 0.42/1.05 set(prime_paramod).
% 0.42/1.05 set(para_pairs).
% 0.42/1.05 assign(pick_given_ratio,4).
% 0.42/1.05 clear(print_kept).
% 0.42/1.05 clear(print_new_demod).
% 0.42/1.05 clear(print_back_demod).
% 0.42/1.05 clear(print_given).
% 0.42/1.05 assign(max_mem,64000).
% 0.42/1.05 end_of_commands.
% 0.42/1.05
% 0.42/1.05 Usable:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Sos:
% 0.42/1.05 0 (wt=-1) [] divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B.
% 0.42/1.05 0 (wt=-1) [] multiply(A,B) = divide(A,inverse(B)).
% 0.42/1.05 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Demodulators:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Passive:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Starting to process input.
% 0.42/1.05
% 0.42/1.05 ** KEPT: 1 (wt=12) [] divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B.
% 0.42/1.05 1 is a new demodulator.
% 0.42/1.05
% 0.42/1.05 ** KEPT: 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 0.42/1.05
% 0.42/1.05 ** KEPT: 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 0.42/1.05 clause forward subsumed: 0 (wt=8) [flip(3)] multiply(A,B) = divide(A,inverse(B)).
% 0.42/1.05
% 0.42/1.05 ** KEPT: 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.42/1.05 ---------------- PROOF FOUND ----------------
% 0.42/1.05 % SZS status Unsatisfiable
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 After processing input:
% 0.42/1.05
% 0.42/1.05 Usable:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Sos:
% 0.42/1.05 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 0.42/1.05 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 0.42/1.05 4 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.42/1.05 1 (wt=12) [] divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B.
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Demodulators:
% 0.42/1.05 1 (wt=12) [] divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B.
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 Passive:
% 0.42/1.05 end_of_list.
% 0.42/1.05
% 0.42/1.05 UNIT CONFLICT from 46 and 5 at 0.00 seconds.
% 0.42/1.05
% 0.42/1.05 ---------------- PROOF ----------------
% 0.42/1.05 % SZS output start Refutation
% See solution above
% 0.42/1.05 ------------ end of proof -------------
% 0.42/1.05
% 0.42/1.05
% 0.42/1.05 ------------- memory usage ------------
% 0.42/1.05 Memory dynamically allocated (tp_alloc): 488.
% 0.42/1.05 type (bytes each) gets frees in use avail bytes
% 0.42/1.05 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.42/1.05 term ( 16) 2178 1559 619 18 12.2 K
% 0.42/1.05 gen_ptr ( 8) 2825 260 2565 11 20.1 K
% 0.42/1.05 context ( 808) 2012 2010 2 2 3.2 K
% 0.42/1.05 trail ( 12) 306 306 0 5 0.1 K
% 0.42/1.05 bt_node ( 68) 1138 1135 3 12 1.0 K
% 0.42/1.05 ac_position (285432) 0 0 0 0 0.0 K
% 0.42/1.05 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.42/1.05 ac_match_free_vars_pos (4020)
% 0.42/1.05 0 0 0 0 0.0 K
% 0.42/1.05 discrim ( 12) 737 0 737 0 8.6 K
% 0.42/1.05 flat ( 40) 2844 2844 0 15 0.6 K
% 0.42/1.05 discrim_pos ( 12) 31 31 0 1 0.0 K
% 0.42/1.05 fpa_head ( 12) 562 0 562 0 6.6 K
% 0.42/1.05 fpa_tree ( 28) 168 168 0 7 0.2 K
% 0.42/1.05 fpa_pos ( 36) 86 86 0 1 0.0 K
% 0.42/1.05 literal ( 12) 134 88 46 1 0.6 K
% 0.42/1.05 clause ( 24) 134 88 46 1 1.1 K
% 0.42/1.05 list ( 12) 99 43 56 3 0.7 K
% 0.42/1.05 list_pos ( 20) 178 3 175 0 3.4 K
% 0.42/1.05 pair_index ( 40) 2 0 2 0 0.1 K
% 0.42/1.05
% 0.42/1.05 -------------- statistics -------------
% 0.42/1.05 Clauses input 3
% 0.42/1.05 Usable input 0
% 0.42/1.05 Sos input 3
% 0.42/1.05 Demodulators input 0
% 0.42/1.05 Passive input 0
% 0.42/1.05
% 0.42/1.05 Processed BS (before search) 5
% 0.42/1.05 Forward subsumed BS 1
% 0.42/1.05 Kept BS 4
% 0.42/1.05 New demodulators BS 1
% 0.42/1.05 Back demodulated BS 0
% 0.42/1.05
% 0.42/1.05 Clauses or pairs given 148
% 0.42/1.05 Clauses generated 85
% 0.42/1.05 Forward subsumed 43
% 0.42/1.05 Deleted by weight 0
% 0.42/1.05 Deleted by variable count 0
% 0.42/1.05 Kept 42
% 0.42/1.05 New demodulators 39
% 0.42/1.05 Back demodulated 0
% 0.42/1.05 Ordered paramod prunes 0
% 0.42/1.05 Basic paramod prunes 384
% 0.42/1.05 Prime paramod prunes 0
% 0.42/1.05 Semantic prunes 0
% 0.42/1.05
% 0.42/1.05 Rewrite attmepts 544
% 0.42/1.05 Rewrites 28
% 0.42/1.05
% 0.42/1.05 FPA overloads 0
% 0.42/1.05 FPA underloads 0
% 0.42/1.05
% 0.42/1.05 Usable size 0
% 0.42/1.05 Sos size 45
% 0.42/1.05 Demodulators size 40
% 0.42/1.05 Passive size 0
% 0.42/1.05 Disabled size 0
% 0.42/1.05
% 0.42/1.05 Proofs found 1
% 0.42/1.05
% 0.42/1.05 ----------- times (seconds) ----------- Mon Jun 13 10:01:23 2022
% 0.42/1.05
% 0.42/1.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/1.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/1.05 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.42/1.05 input time 0.00
% 0.42/1.05 paramodulation time 0.00
% 0.42/1.05 demodulation time 0.00
% 0.42/1.05 orient time 0.00
% 0.42/1.05 weigh time 0.00
% 0.42/1.05 forward subsume time 0.00
% 0.42/1.05 back demod find time 0.00
% 0.42/1.05 conflict time 0.00
% 0.42/1.05 LRPO time 0.00
% 0.42/1.05 store clause time 0.00
% 0.42/1.05 disable clause time 0.00
% 0.42/1.05 prime paramod time 0.00
% 0.42/1.05 semantics time 0.00
% 0.42/1.05
% 0.42/1.05 EQP interrupted
%------------------------------------------------------------------------------