TSTP Solution File: BOO021-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 : Thu Jul 14 23:37:09 EDT 2022
% Result : Unsatisfiable 0.57s 0.98s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(add(A,B),B),B),
file('BOO021-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,add(B,C)),add(multiply(B,A),multiply(C,A))),
file('BOO021-1.p',unknown),
[] ).
cnf(5,plain,
equal(add(multiply(A,B),B),B),
file('BOO021-1.p',unknown),
[] ).
cnf(8,plain,
~ equal(multiply(b,a),multiply(a,b)),
file('BOO021-1.p',unknown),
[] ).
cnf(30,plain,
equal(add(A,A),A),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(195,plain,
equal(multiply(A,B),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,2]),30]),
[iquote('para(30,2),demod([30])')] ).
cnf(196,plain,
$false,
inference(conflict,[status(thm)],[195,8]),
[iquote('conflict(195,8)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : BOO021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.11 % Command : tptp2X_and_run_eqp %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 1 22:50:15 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.57/0.98 ----- EQP 0.9e, May 2009 -----
% 0.57/0.98 The job began on n032.cluster.edu, Wed Jun 1 22:50:15 2022
% 0.57/0.98 The command was "./eqp09e".
% 0.57/0.98
% 0.57/0.98 set(prolog_style_variables).
% 0.57/0.98 set(lrpo).
% 0.57/0.98 set(basic_paramod).
% 0.57/0.98 set(functional_subsume).
% 0.57/0.98 set(ordered_paramod).
% 0.57/0.98 set(prime_paramod).
% 0.57/0.98 set(para_pairs).
% 0.57/0.98 assign(pick_given_ratio,4).
% 0.57/0.98 clear(print_kept).
% 0.57/0.98 clear(print_new_demod).
% 0.57/0.98 clear(print_back_demod).
% 0.57/0.98 clear(print_given).
% 0.57/0.98 assign(max_mem,64000).
% 0.57/0.98 end_of_commands.
% 0.57/0.98
% 0.57/0.98 Usable:
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Sos:
% 0.57/0.98 0 (wt=-1) [] multiply(add(A,B),B) = B.
% 0.57/0.98 0 (wt=-1) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.57/0.98 0 (wt=-1) [] add(A,inverse(A)) = n1.
% 0.57/0.98 0 (wt=-1) [] add(multiply(A,B),B) = B.
% 0.57/0.98 0 (wt=-1) [] add(A,multiply(B,C)) = multiply(add(B,A),add(C,A)).
% 0.57/0.98 0 (wt=-1) [] multiply(A,inverse(A)) = n0.
% 0.57/0.98 0 (wt=-1) [] -(multiply(b,a) = multiply(a,b)).
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Demodulators:
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Passive:
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Starting to process input.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 1 (wt=7) [] multiply(add(A,B),B) = B.
% 0.57/0.98 1 is a new demodulator.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 2 (wt=13) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.57/0.98
% 0.57/0.98 ** KEPT: 3 (wt=13) [flip(2)] add(multiply(A,B),multiply(C,B)) = multiply(B,add(A,C)).
% 0.57/0.98 clause forward subsumed: 0 (wt=13) [flip(3)] multiply(B,add(A,C)) = add(multiply(A,B),multiply(C,B)).
% 0.57/0.98
% 0.57/0.98 ** KEPT: 4 (wt=6) [] add(A,inverse(A)) = n1.
% 0.57/0.98 4 is a new demodulator.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 5 (wt=7) [] add(multiply(A,B),B) = B.
% 0.57/0.98 5 is a new demodulator.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 6 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.57/0.98 6 is a new demodulator.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 7 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.57/0.98 7 is a new demodulator.
% 0.57/0.98
% 0.57/0.98 ** KEPT: 8 (wt=7) [] -(multiply(b,a) = multiply(a,b)).
% 0.57/0.98 ---------------- PROOF FOUND ----------------
% 0.57/0.98 % SZS status Unsatisfiable
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 After processing input:
% 0.57/0.98
% 0.57/0.98 Usable:
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Sos:
% 0.57/0.98 4 (wt=6) [] add(A,inverse(A)) = n1.
% 0.57/0.98 7 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.57/0.98 1 (wt=7) [] multiply(add(A,B),B) = B.
% 0.57/0.98 5 (wt=7) [] add(multiply(A,B),B) = B.
% 0.57/0.98 8 (wt=7) [] -(multiply(b,a) = multiply(a,b)).
% 0.57/0.98 2 (wt=13) [] multiply(A,add(B,C)) = add(multiply(B,A),multiply(C,A)).
% 0.57/0.98 3 (wt=13) [flip(2)] add(multiply(A,B),multiply(C,B)) = multiply(B,add(A,C)).
% 0.57/0.98 6 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Demodulators:
% 0.57/0.98 1 (wt=7) [] multiply(add(A,B),B) = B.
% 0.57/0.98 4 (wt=6) [] add(A,inverse(A)) = n1.
% 0.57/0.98 5 (wt=7) [] add(multiply(A,B),B) = B.
% 0.57/0.98 6 (wt=13) [flip(1)] multiply(add(A,B),add(C,B)) = add(B,multiply(A,C)).
% 0.57/0.98 7 (wt=6) [] multiply(A,inverse(A)) = n0.
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 Passive:
% 0.57/0.98 end_of_list.
% 0.57/0.98
% 0.57/0.98 UNIT CONFLICT from 195 and 8 at 0.01 seconds.
% 0.57/0.98
% 0.57/0.98 ---------------- PROOF ----------------
% 0.57/0.98 % SZS output start Refutation
% See solution above
% 0.57/0.98 ------------ end of proof -------------
% 0.57/0.98
% 0.57/0.98
% 0.57/0.98 ------------- memory usage ------------
% 0.57/0.98 Memory dynamically allocated (tp_alloc): 488.
% 0.57/0.98 type (bytes each) gets frees in use avail bytes
% 0.57/0.98 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.57/0.98 term ( 16) 9072 5737 3335 18 64.7 K
% 0.57/0.98 gen_ptr ( 8) 14654 2461 12193 16 95.4 K
% 0.57/0.98 context ( 808) 7839 7837 2 2 3.2 K
% 0.57/0.98 trail ( 12) 1009 1009 0 5 0.1 K
% 0.57/0.98 bt_node ( 68) 2686 2683 3 8 0.7 K
% 0.57/0.98 ac_position (285432) 0 0 0 0 0.0 K
% 0.57/0.98 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.57/0.98 ac_match_free_vars_pos (4020)
% 0.57/0.98 0 0 0 0 0.0 K
% 0.57/0.98 discrim ( 12) 2514 764 1750 150 22.3 K
% 0.57/0.98 flat ( 40) 18567 18567 0 39 1.5 K
% 0.57/0.98 discrim_pos ( 12) 309 309 0 1 0.0 K
% 0.57/0.98 fpa_head ( 12) 989 0 989 0 11.6 K
% 0.57/0.98 fpa_tree ( 28) 218 218 0 11 0.3 K
% 0.57/0.98 fpa_pos ( 36) 274 274 0 1 0.0 K
% 0.57/0.98 literal ( 12) 712 517 195 1 2.3 K
% 0.57/0.98 clause ( 24) 712 517 195 1 4.6 K
% 0.57/0.98 list ( 12) 138 82 56 3 0.7 K
% 0.57/0.98 list_pos ( 20) 814 328 486 30 10.1 K
% 0.57/0.98 pair_index ( 40) 2 0 2 0 0.1 K
% 0.57/0.98
% 0.57/0.98 -------------- statistics -------------
% 0.57/0.98 Clauses input 7
% 0.57/0.98 Usable input 0
% 0.57/0.98 Sos input 7
% 0.57/0.98 Demodulators input 0
% 0.57/0.98 Passive input 0
% 0.57/0.98
% 0.57/0.98 Processed BS (before search) 9
% 0.57/0.98 Forward subsumed BS 1
% 0.57/0.98 Kept BS 8
% 0.57/0.98 New demodulators BS 5
% 0.57/0.98 Back demodulated BS 0
% 0.57/0.98
% 0.57/0.98 Clauses or pairs given 630
% 0.57/0.98 Clauses generated 404
% 0.57/0.98 Forward subsumed 217
% 0.57/0.98 Deleted by weight 0
% 0.57/0.98 Deleted by variable count 0
% 0.57/0.98 Kept 187
% 0.57/0.98 New demodulators 74
% 0.57/0.98 Back demodulated 71
% 0.57/0.98 Ordered paramod prunes 0
% 0.57/0.98 Basic paramod prunes 1041
% 0.57/0.98 Prime paramod prunes 8
% 0.57/0.98 Semantic prunes 0
% 0.57/0.98
% 0.57/0.98 Rewrite attmepts 3538
% 0.57/0.98 Rewrites 214
% 0.57/0.98
% 0.57/0.98 FPA overloads 0
% 0.57/0.98 FPA underloads 0
% 0.57/0.98
% 0.57/0.98 Usable size 0
% 0.57/0.98 Sos size 123
% 0.57/0.98 Demodulators size 46
% 0.57/0.98 Passive size 0
% 0.57/0.98 Disabled size 71
% 0.57/0.98
% 0.57/0.98 Proofs found 1
% 0.57/0.98
% 0.57/0.98 ----------- times (seconds) ----------- Wed Jun 1 22:50:15 2022
% 0.57/0.98
% 0.57/0.98 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.57/0.98 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.57/0.98 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.57/0.98 input time 0.00
% 0.57/0.98 paramodulation time 0.00
% 0.57/0.98 demodulation time 0.00
% 0.57/0.98 orient time 0.00
% 0.57/0.98 weigh time 0.00
% 0.57/0.98 forward subsume time 0.00
% 0.57/0.98 back demod find time 0.00
% 0.57/0.98 conflict time 0.00
% 0.57/0.98 LRPO time 0.00
% 0.57/0.98 store clause time 0.00
% 0.57/0.98 disable clause time 0.00
% 0.57/0.98 prime paramod time 0.00
% 0.57/0.98 semantics time 0.00
% 0.57/0.98
% 0.57/0.98 EQP interrupted
%------------------------------------------------------------------------------