TSTP Solution File: GRP022-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 08:44:23 EDT 2022
% Result : Unsatisfiable 0.43s 1.05s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(identity,A),A),
file('GRP022-2.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(inverse(A),A),identity),
file('GRP022-2.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
file('GRP022-2.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,identity),A),
file('GRP022-2.p',unknown),
[] ).
cnf(6,plain,
~ equal(inverse(inverse(a)),a),
file('GRP022-2.p',unknown),
[] ).
cnf(8,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(9,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,8]),4]),
[iquote('para(2,8),demod([4])')] ).
cnf(10,plain,
$false,
inference(conflict,[status(thm)],[9,6]),
[iquote('conflict(9,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n021.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 : Tue Jun 14 13:55:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.05 ----- EQP 0.9e, May 2009 -----
% 0.43/1.05 The job began on n021.cluster.edu, Tue Jun 14 13:55:13 2022
% 0.43/1.05 The command was "./eqp09e".
% 0.43/1.05
% 0.43/1.05 set(prolog_style_variables).
% 0.43/1.05 set(lrpo).
% 0.43/1.05 set(basic_paramod).
% 0.43/1.05 set(functional_subsume).
% 0.43/1.05 set(ordered_paramod).
% 0.43/1.05 set(prime_paramod).
% 0.43/1.05 set(para_pairs).
% 0.43/1.05 assign(pick_given_ratio,4).
% 0.43/1.05 clear(print_kept).
% 0.43/1.05 clear(print_new_demod).
% 0.43/1.05 clear(print_back_demod).
% 0.43/1.05 clear(print_given).
% 0.43/1.05 assign(max_mem,64000).
% 0.43/1.05 end_of_commands.
% 0.43/1.05
% 0.43/1.05 Usable:
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Sos:
% 0.43/1.05 0 (wt=-1) [] multiply(identity,A) = A.
% 0.43/1.05 0 (wt=-1) [] multiply(inverse(A),A) = identity.
% 0.43/1.05 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.05 0 (wt=-1) [] multiply(A,identity) = A.
% 0.43/1.05 0 (wt=-1) [] multiply(A,inverse(A)) = identity.
% 0.43/1.05 0 (wt=-1) [] -(inverse(inverse(a)) = a).
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Demodulators:
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Passive:
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Starting to process input.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.05 1 is a new demodulator.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.05 2 is a new demodulator.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.05 3 is a new demodulator.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 4 (wt=5) [] multiply(A,identity) = A.
% 0.43/1.05 4 is a new demodulator.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.43/1.05 5 is a new demodulator.
% 0.43/1.05
% 0.43/1.05 ** KEPT: 6 (wt=5) [] -(inverse(inverse(a)) = a).
% 0.43/1.05 ---------------- PROOF FOUND ----------------
% 0.43/1.05 % SZS status Unsatisfiable
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 After processing input:
% 0.43/1.05
% 0.43/1.05 Usable:
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Sos:
% 0.43/1.05 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.05 4 (wt=5) [] multiply(A,identity) = A.
% 0.43/1.05 6 (wt=5) [] -(inverse(inverse(a)) = a).
% 0.43/1.05 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.05 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.43/1.05 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Demodulators:
% 0.43/1.05 1 (wt=5) [] multiply(identity,A) = A.
% 0.43/1.05 2 (wt=6) [] multiply(inverse(A),A) = identity.
% 0.43/1.05 3 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.43/1.05 4 (wt=5) [] multiply(A,identity) = A.
% 0.43/1.05 5 (wt=6) [] multiply(A,inverse(A)) = identity.
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 Passive:
% 0.43/1.05 end_of_list.
% 0.43/1.05
% 0.43/1.05 UNIT CONFLICT from 9 and 6 at 0.00 seconds.
% 0.43/1.05
% 0.43/1.05 ---------------- PROOF ----------------
% 0.43/1.05 % SZS output start Refutation
% See solution above
% 0.43/1.05 ------------ end of proof -------------
% 0.43/1.05
% 0.43/1.05
% 0.43/1.05 ------------- memory usage ------------
% 0.43/1.05 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.05 type (bytes each) gets frees in use avail bytes
% 0.43/1.05 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.43/1.05 term ( 16) 624 565 59 22 1.5 K
% 0.43/1.05 gen_ptr ( 8) 266 115 151 7 1.2 K
% 0.43/1.05 context ( 808) 287 285 2 3 3.9 K
% 0.43/1.05 trail ( 12) 10 10 0 3 0.0 K
% 0.43/1.05 bt_node ( 68) 116 113 3 2 0.3 K
% 0.43/1.05 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.05 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.05 ac_match_free_vars_pos (4020)
% 0.43/1.05 0 0 0 0 0.0 K
% 0.43/1.05 discrim ( 12) 58 0 58 0 0.7 K
% 0.43/1.05 flat ( 40) 271 271 0 6 0.2 K
% 0.43/1.05 discrim_pos ( 12) 15 15 0 1 0.0 K
% 0.43/1.05 fpa_head ( 12) 53 0 53 0 0.6 K
% 0.43/1.05 fpa_tree ( 28) 10 10 0 3 0.1 K
% 0.43/1.05 fpa_pos ( 36) 16 16 0 1 0.0 K
% 0.43/1.05 literal ( 12) 30 21 9 1 0.1 K
% 0.43/1.05 clause ( 24) 30 21 9 1 0.2 K
% 0.43/1.05 list ( 12) 66 10 56 3 0.7 K
% 0.43/1.05 list_pos ( 20) 37 6 31 0 0.6 K
% 0.43/1.05 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.05
% 0.43/1.05 -------------- statistics -------------
% 0.43/1.05 Clauses input 6
% 0.43/1.05 Usable input 0
% 0.43/1.05 Sos input 6
% 0.43/1.05 Demodulators input 0
% 0.43/1.05 Passive input 0
% 0.43/1.05
% 0.43/1.05 Processed BS (before search) 6
% 0.43/1.05 Forward subsumed BS 0
% 0.43/1.05 Kept BS 6
% 0.43/1.05 New demodulators BS 5
% 0.43/1.05 Back demodulated BS 0
% 0.43/1.05
% 0.43/1.05 Clauses or pairs given 29
% 0.43/1.05 Clauses generated 16
% 0.43/1.05 Forward subsumed 13
% 0.43/1.05 Deleted by weight 0
% 0.43/1.05 Deleted by variable count 0
% 0.43/1.05 Kept 3
% 0.43/1.05 New demodulators 2
% 0.43/1.05 Back demodulated 0
% 0.43/1.05 Ordered paramod prunes 0
% 0.43/1.05 Basic paramod prunes 18
% 0.43/1.05 Prime paramod prunes 1
% 0.43/1.05 Semantic prunes 0
% 0.43/1.05
% 0.43/1.05 Rewrite attmepts 106
% 0.43/1.05 Rewrites 14
% 0.43/1.05
% 0.43/1.05 FPA overloads 0
% 0.43/1.05 FPA underloads 0
% 0.43/1.05
% 0.43/1.05 Usable size 0
% 0.43/1.05 Sos size 8
% 0.43/1.05 Demodulators size 7
% 0.43/1.05 Passive size 0
% 0.43/1.05 Disabled size 0
% 0.43/1.05
% 0.43/1.05 Proofs found 1
% 0.43/1.05
% 0.43/1.05 ----------- times (seconds) ----------- Tue Jun 14 13:55:13 2022
% 0.43/1.05
% 0.43/1.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.05 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.05 input time 0.00
% 0.43/1.05 paramodulation time 0.00
% 0.43/1.05 demodulation time 0.00
% 0.43/1.05 orient time 0.00
% 0.43/1.05 weigh time 0.00
% 0.43/1.05 forward subsume time 0.00
% 0.43/1.05 back demod find time 0.00
% 0.43/1.05 conflict time 0.00
% 0.43/1.05 LRPO time 0.00
% 0.43/1.05 store clause time 0.00
% 0.43/1.05 disable clause time 0.00
% 0.43/1.05 prime paramod time 0.00
% 0.43/1.05 semantics time 0.00
% 0.43/1.05
% 0.43/1.05 EQP interrupted
%------------------------------------------------------------------------------