TSTP Solution File: RNG011-5 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n022.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 : Mon Jul 18 20:25:30 EDT 2022
% Result : Unsatisfiable 0.73s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,plain,
equal(multiply(multiply(associator(A,A,B),A),associator(A,A,B)),additive_identity),
file('RNG011-5.p',unknown),
[] ).
cnf(23,plain,
~ equal(additive_identity,additive_identity),
inference(demod,[status(thm),theory(equality)],[22]),
[iquote('demod([22])')] ).
cnf(24,plain,
$false,
inference(conflict,[status(thm)],[23]),
[iquote('xx_conflict(23)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : RNG011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n022.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 : Mon May 30 19:53:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.08 ----- EQP 0.9e, May 2009 -----
% 0.73/1.08 The job began on n022.cluster.edu, Mon May 30 19:53:38 2022
% 0.73/1.08 The command was "./eqp09e".
% 0.73/1.08
% 0.73/1.08 set(prolog_style_variables).
% 0.73/1.08 set(lrpo).
% 0.73/1.08 set(basic_paramod).
% 0.73/1.08 set(functional_subsume).
% 0.73/1.08 set(ordered_paramod).
% 0.73/1.08 set(prime_paramod).
% 0.73/1.08 set(para_pairs).
% 0.73/1.08 assign(pick_given_ratio,4).
% 0.73/1.08 clear(print_kept).
% 0.73/1.08 clear(print_new_demod).
% 0.73/1.08 clear(print_back_demod).
% 0.73/1.08 clear(print_given).
% 0.73/1.08 assign(max_mem,64000).
% 0.73/1.08 end_of_commands.
% 0.73/1.08
% 0.73/1.08 Usable:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Sos:
% 0.73/1.08 0 (wt=-1) [] add(A,B) = add(B,A).
% 0.73/1.08 0 (wt=-1) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.73/1.08 0 (wt=-1) [] add(A,additive_identity) = A.
% 0.73/1.08 0 (wt=-1) [] add(additive_identity,A) = A.
% 0.73/1.08 0 (wt=-1) [] add(A,additive_inverse(A)) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] add(additive_inverse(A),A) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] additive_inverse(additive_identity) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] add(A,add(additive_inverse(A),B)) = B.
% 0.73/1.08 0 (wt=-1) [] additive_inverse(add(A,B)) = add(additive_inverse(A),additive_inverse(B)).
% 0.73/1.08 0 (wt=-1) [] additive_inverse(additive_inverse(A)) = A.
% 0.73/1.08 0 (wt=-1) [] multiply(A,additive_identity) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] multiply(additive_identity,A) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] multiply(additive_inverse(A),additive_inverse(B)) = multiply(A,B).
% 0.73/1.08 0 (wt=-1) [] multiply(A,additive_inverse(B)) = additive_inverse(multiply(A,B)).
% 0.73/1.08 0 (wt=-1) [] multiply(additive_inverse(A),B) = additive_inverse(multiply(A,B)).
% 0.73/1.08 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.73/1.08 0 (wt=-1) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.73/1.08 0 (wt=-1) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.73/1.08 0 (wt=-1) [] associator(A,B,C) = add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C)))).
% 0.73/1.08 0 (wt=-1) [] commutator(A,B) = add(multiply(B,A),additive_inverse(multiply(A,B))).
% 0.73/1.08 0 (wt=-1) [] multiply(multiply(associator(A,A,B),A),associator(A,A,B)) = additive_identity.
% 0.73/1.08 0 (wt=-1) [] -(multiply(multiply(associator(a,a,b),a),associator(a,a,b)) = additive_identity).
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Demodulators:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Passive:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Starting to process input.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 1 (wt=7) [] add(A,B) = add(B,A).
% 0.73/1.08 clause forward subsumed: 0 (wt=7) [flip(1)] add(B,A) = add(A,B).
% 0.73/1.08
% 0.73/1.08 ** KEPT: 2 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.73/1.08 2 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 3 (wt=5) [] add(A,additive_identity) = A.
% 0.73/1.08 3 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 4 (wt=5) [] add(additive_identity,A) = A.
% 0.73/1.08 4 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 5 (wt=6) [] add(A,additive_inverse(A)) = additive_identity.
% 0.73/1.08 5 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 6 (wt=6) [] add(additive_inverse(A),A) = additive_identity.
% 0.73/1.08 6 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 7 (wt=4) [] additive_inverse(additive_identity) = additive_identity.
% 0.73/1.08 7 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 8 (wt=8) [] add(A,add(additive_inverse(A),B)) = B.
% 0.73/1.08 8 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 9 (wt=10) [] additive_inverse(add(A,B)) = add(additive_inverse(A),additive_inverse(B)).
% 0.73/1.08 9 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 10 (wt=5) [] additive_inverse(additive_inverse(A)) = A.
% 0.73/1.08 10 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 11 (wt=5) [] multiply(A,additive_identity) = additive_identity.
% 0.73/1.08 11 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 12 (wt=5) [] multiply(additive_identity,A) = additive_identity.
% 0.73/1.08 12 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 13 (wt=9) [] multiply(additive_inverse(A),additive_inverse(B)) = multiply(A,B).
% 0.73/1.08 13 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 14 (wt=9) [flip(1)] additive_inverse(multiply(A,B)) = multiply(A,additive_inverse(B)).
% 0.73/1.08 14 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 15 (wt=9) [demod([14])] multiply(additive_inverse(A),B) = multiply(A,additive_inverse(B)).
% 0.73/1.08
% 0.73/1.08 ** KEPT: 16 (wt=9) [flip(15)] multiply(A,additive_inverse(B)) = multiply(additive_inverse(A),B).
% 0.73/1.08 clause forward subsumed: 0 (wt=9) [flip(16)] multiply(additive_inverse(A),B) = multiply(A,additive_inverse(B)).
% 0.73/1.08
% 0.73/1.08 ** KEPT: 17 (wt=13) [] multiply(A,add(B,C)) = add(multiply(A,B),multiply(A,C)).
% 0.73/1.08 17 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 18 (wt=13) [] multiply(add(A,B),C) = add(multiply(A,C),multiply(B,C)).
% 0.73/1.08 18 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 19 (wt=11) [] multiply(multiply(A,B),B) = multiply(A,multiply(B,B)).
% 0.73/1.08 19 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 20 (wt=17) [demod([14,14]),flip(1)] add(multiply(multiply(A,B),C),multiply(A,multiply(B,additive_inverse(C)))) = associator(A,B,C).
% 0.73/1.08 20 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 21 (wt=12) [demod([14]),flip(1)] add(multiply(A,B),multiply(B,additive_inverse(A))) = commutator(B,A).
% 0.73/1.08 21 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 22 (wt=13) [] multiply(multiply(associator(A,A,B),A),associator(A,A,B)) = additive_identity.
% 0.73/1.08 22 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 23 (wt=3) [demod([22])] -(additive_identity = additive_identity).
% 0.73/1.08 ---------------- PROOF FOUND ----------------
% 0.73/1.08 % SZS status Unsatisfiable
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 UNIT CONFLICT from 23 and x=x at 0.00 seconds.
% 0.73/1.08
% 0.73/1.08 ---------------- PROOF ----------------
% 0.73/1.08 % SZS output start Refutation
% See solution above
% 0.73/1.08 ------------ end of proof -------------
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 ------------- memory usage ------------
% 0.73/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.73/1.08 type (bytes each) gets frees in use avail bytes
% 0.73/1.08 sym_ent ( 96) 59 0 59 0 5.5 K
% 0.73/1.08 term ( 16) 1189 990 199 31 4.4 K
% 0.73/1.08 gen_ptr ( 8) 732 175 557 2 4.4 K
% 0.73/1.08 context ( 808) 224 224 0 3 2.4 K
% 0.73/1.08 trail ( 12) 33 33 0 3 0.0 K
% 0.73/1.08 bt_node ( 68) 1 1 0 1 0.1 K
% 0.73/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_free_vars_pos (4020)
% 0.73/1.08 0 0 0 0 0.0 K
% 0.73/1.08 discrim ( 12) 220 0 220 0 2.6 K
% 0.73/1.08 flat ( 40) 392 392 0 11 0.4 K
% 0.73/1.08 discrim_pos ( 12) 7 7 0 1 0.0 K
% 0.73/1.08 fpa_head ( 12) 188 0 188 0 2.2 K
% 0.73/1.08 fpa_tree ( 28) 27 27 0 3 0.1 K
% 0.73/1.08 fpa_pos ( 36) 41 41 0 1 0.0 K
% 0.73/1.08 literal ( 12) 49 26 23 2 0.3 K
% 0.73/1.08 clause ( 24) 49 26 23 2 0.6 K
% 0.73/1.08 list ( 12) 78 20 58 1 0.7 K
% 0.73/1.08 list_pos ( 20) 107 22 85 1 1.7 K
% 0.73/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.08
% 0.73/1.08 -------------- statistics -------------
% 0.73/1.08 Clauses input 22
% 0.73/1.08 Usable input 0
% 0.73/1.08 Sos input 22
% 0.73/1.08 Demodulators input 0
% 0.73/1.08 Passive input 0
% 0.73/1.08
% 0.73/1.08 Processed BS (before search) 25
% 0.73/1.08 Forward subsumed BS 2
% 0.73/1.08 Kept BS 23
% 0.73/1.08 New demodulators BS 19
% 0.73/1.08 Back demodulated BS 0
% 0.73/1.08
% 0.73/1.08 Clauses or pairs given 0
% 0.73/1.08 Clauses generated 0
% 0.73/1.08 Forward subsumed 0
% 0.73/1.08 Deleted by weight 0
% 0.73/1.08 Deleted by variable count 0
% 0.73/1.08 Kept 0
% 0.73/1.08 New demodulators 0
% 0.73/1.08 Back demodulated 0
% 0.73/1.08 Ordered paramod prunes 0
% 0.73/1.08 Basic paramod prunes 0
% 0.73/1.08 Prime paramod prunes 0
% 0.73/1.08 Semantic prunes 0
% 0.73/1.08
% 0.73/1.08 Rewrite attmepts 134
% 0.73/1.08 Rewrites 5
% 0.73/1.08
% 0.73/1.08 FPA overloads 0
% 0.73/1.08 FPA underloads 0
% 0.73/1.08
% 0.73/1.08 Usable size 0
% 0.73/1.08 Sos size 22
% 0.73/1.08 Demodulators size 19
% 0.73/1.08 Passive size 0
% 0.73/1.08 Disabled size 0
% 0.73/1.08
% 0.73/1.08 Proofs found 1
% 0.73/1.08
% 0.73/1.08 ----------- times (seconds) ----------- Mon May 30 19:53:38 2022
% 0.73/1.08
% 0.73/1.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.73/1.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.73/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.08 input time 0.00
% 0.73/1.08 paramodulation time 0.00
% 0.73/1.08 demodulation time 0.00
% 0.73/1.08 orient time 0.00
% 0.73/1.08 weigh time 0.00
% 0.73/1.08 forward subsume time 0.00
% 0.73/1.08 back demod find time 0.00
% 0.73/1.08 conflict time 0.00
% 0.73/1.08 LRPO time 0.00
% 0.73/1.08 store clause time 0.00
% 0.73/1.08 disable clause time 0.00
% 0.73/1.08 prime paramod time 0.00
% 0.73/1.08 semantics time 0.00
% 0.73/1.08
% 0.73/1.08 EQP interrupted
%------------------------------------------------------------------------------