TSTP Solution File: GRP023-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 08:44:24 EDT 2022
% Result : Unsatisfiable 0.48s 1.12s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
equal(multiply(inverse(A),A),identity),
file('GRP023-2.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,identity),A),
file('GRP023-2.p',unknown),
[] ).
cnf(6,plain,
~ equal(inverse(identity),identity),
file('GRP023-2.p',unknown),
[] ).
cnf(7,plain,
equal(inverse(identity),identity),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(8,plain,
$false,
inference(conflict,[status(thm)],[7,6]),
[iquote('conflict(7,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 18:10:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/1.12 ----- EQP 0.9e, May 2009 -----
% 0.48/1.12 The job began on n026.cluster.edu, Mon Jun 13 18:10:36 2022
% 0.48/1.12 The command was "./eqp09e".
% 0.48/1.12
% 0.48/1.12 set(prolog_style_variables).
% 0.48/1.12 set(lrpo).
% 0.48/1.12 set(basic_paramod).
% 0.48/1.12 set(functional_subsume).
% 0.48/1.12 set(ordered_paramod).
% 0.48/1.12 set(prime_paramod).
% 0.48/1.12 set(para_pairs).
% 0.48/1.12 assign(pick_given_ratio,4).
% 0.48/1.12 clear(print_kept).
% 0.48/1.12 clear(print_new_demod).
% 0.48/1.12 clear(print_back_demod).
% 0.48/1.12 clear(print_given).
% 0.48/1.12 assign(max_mem,64000).
% 0.48/1.12 end_of_commands.
% 0.48/1.12
% 0.48/1.12 Usable:
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Sos:
% 0.48/1.12 0 (wt=-1) [] multiply(identity,A) = A.
% 0.48/1.12 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.48/1.12 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.48/1.12 0 (wt=-1) [] multiply(A,identity) = A.
% 0.48/1.12 0 (wt=-1) [] multiply(A,inverse(A)) = identity.
% 0.48/1.12 0 (wt=-1) [] -(inverse(identity) = identity).
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Demodulators:
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Passive:
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Starting to process input.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.48/1.12 1 is a new demodulator.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.48/1.12 2 is a new demodulator.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.48/1.12 3 is a new demodulator.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 4 (wt=5) [] multiply(A,identity) = A.
% 0.48/1.12 4 is a new demodulator.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.48/1.12 5 is a new demodulator.
% 0.48/1.12
% 0.48/1.12 ** KEPT: 6 (wt=4) [] -(inverse(identity) = identity).
% 0.48/1.12 ---------------- PROOF FOUND ----------------
% 0.48/1.12 % SZS status Unsatisfiable
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 After processing input:
% 0.48/1.12
% 0.48/1.12 Usable:
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Sos:
% 0.48/1.12 6 (wt=4) [] -(inverse(identity) = identity).
% 0.48/1.12 1 (wt=5) [] multiply(identity,A) = A.
% 0.48/1.12 4 (wt=5) [] multiply(A,identity) = A.
% 0.48/1.12 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.48/1.12 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.48/1.12 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Demodulators:
% 0.48/1.12 1 (wt=5) [] multiply(identity,A) = A.
% 0.48/1.12 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.48/1.12 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.48/1.12 4 (wt=5) [] multiply(A,identity) = A.
% 0.48/1.12 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 Passive:
% 0.48/1.12 end_of_list.
% 0.48/1.12
% 0.48/1.12 UNIT CONFLICT from 7 and 6 at 0.00 seconds.
% 0.48/1.12
% 0.48/1.12 ---------------- PROOF ----------------
% 0.48/1.12 % SZS output start Refutation
% See solution above
% 0.48/1.12 ------------ end of proof -------------
% 0.48/1.12
% 0.48/1.12
% 0.48/1.12 ------------- memory usage ------------
% 0.48/1.12 Memory dynamically allocated (tp_alloc): 488.
% 0.48/1.12 type (bytes each) gets frees in use avail bytes
% 0.48/1.12 sym_ent ( 96) 54 0 54 0 5.1 K
% 0.48/1.12 term ( 16) 394 349 45 10 1.0 K
% 0.48/1.12 gen_ptr ( 8) 158 58 100 4 0.8 K
% 0.48/1.12 context ( 808) 118 116 2 2 3.2 K
% 0.48/1.12 trail ( 12) 7 7 0 3 0.0 K
% 0.48/1.12 bt_node ( 68) 39 36 3 1 0.3 K
% 0.48/1.12 ac_position (285432) 0 0 0 0 0.0 K
% 0.48/1.12 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.48/1.12 ac_match_free_vars_pos (4020)
% 0.48/1.12 0 0 0 0 0.0 K
% 0.48/1.12 discrim ( 12) 45 0 45 0 0.5 K
% 0.48/1.12 flat ( 40) 74 74 0 5 0.2 K
% 0.48/1.12 discrim_pos ( 12) 0 0 0 0 0.0 K
% 0.48/1.12 fpa_head ( 12) 43 0 43 0 0.5 K
% 0.48/1.12 fpa_tree ( 28) 8 8 0 3 0.1 K
% 0.48/1.12 fpa_pos ( 36) 12 12 0 1 0.0 K
% 0.48/1.12 literal ( 12) 17 10 7 1 0.1 K
% 0.48/1.12 clause ( 24) 17 10 7 1 0.2 K
% 0.48/1.12 list ( 12) 64 8 56 3 0.7 K
% 0.48/1.12 list_pos ( 20) 29 6 23 0 0.4 K
% 0.48/1.12 pair_index ( 40) 2 0 2 0 0.1 K
% 0.48/1.12
% 0.48/1.12 -------------- statistics -------------
% 0.48/1.12 Clauses input 6
% 0.48/1.12 Usable input 0
% 0.48/1.12 Sos input 6
% 0.48/1.12 Demodulators input 0
% 0.48/1.12 Passive input 0
% 0.48/1.12
% 0.48/1.12 Processed BS (before search) 6
% 0.48/1.12 Forward subsumed BS 0
% 0.48/1.12 Kept BS 6
% 0.48/1.12 New demodulators BS 5
% 0.48/1.12 Back demodulated BS 0
% 0.48/1.12
% 0.48/1.12 Clauses or pairs given 11
% 0.48/1.12 Clauses generated 5
% 0.48/1.12 Forward subsumed 4
% 0.48/1.12 Deleted by weight 0
% 0.48/1.12 Deleted by variable count 0
% 0.48/1.12 Kept 1
% 0.48/1.12 New demodulators 0
% 0.48/1.12 Back demodulated 0
% 0.48/1.12 Ordered paramod prunes 0
% 0.48/1.12 Basic paramod prunes 0
% 0.48/1.12 Prime paramod prunes 0
% 0.48/1.12 Semantic prunes 0
% 0.48/1.12
% 0.48/1.12 Rewrite attmepts 35
% 0.48/1.12 Rewrites 0
% 0.48/1.12
% 0.48/1.12 FPA overloads 0
% 0.48/1.12 FPA underloads 0
% 0.48/1.12
% 0.48/1.12 Usable size 0
% 0.48/1.12 Sos size 6
% 0.48/1.12 Demodulators size 5
% 0.48/1.12 Passive size 0
% 0.48/1.12 Disabled size 0
% 0.48/1.12
% 0.48/1.12 Proofs found 1
% 0.48/1.12
% 0.48/1.12 ----------- times (seconds) ----------- Mon Jun 13 18:10:36 2022
% 0.48/1.12
% 0.48/1.12 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.48/1.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.48/1.12 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.48/1.12 input time 0.00
% 0.48/1.12 paramodulation time 0.00
% 0.48/1.12 demodulation time 0.00
% 0.48/1.12 orient time 0.00
% 0.48/1.12 weigh time 0.00
% 0.48/1.12 forward subsume time 0.00
% 0.48/1.12 back demod find time 0.00
% 0.48/1.12 conflict time 0.00
% 0.48/1.12 LRPO time 0.00
% 0.48/1.12 store clause time 0.00
% 0.48/1.12 disable clause time 0.00
% 0.48/1.12 prime paramod time 0.00
% 0.48/1.12 semantics time 0.00
% 0.48/1.12
% 0.48/1.12 EQP interrupted
%------------------------------------------------------------------------------