TSTP Solution File: COL044-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 : Fri Jul 15 00:23:16 EDT 2022
% Result : Unsatisfiable 0.71s 1.09s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL044-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(apply(n,A),B),C),apply(apply(apply(A,C),B),C)),
file('COL044-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(apply(A,B),C),B),apply(apply(apply(n,A),C),B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(7,plain,
equal(apply(apply(apply(n,b),A),B),apply(B,apply(A,B))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(11,plain,
equal(apply(apply(A,apply(B,C)),B),apply(apply(apply(n,apply(b,A)),C),B)),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(101,plain,
equal(apply(A,apply(apply(B,C),B)),apply(apply(apply(n,apply(b,apply(b,A))),C),B)),
inference(para,[status(thm),theory(equality)],[1,11]),
[iquote('para(1,11)')] ).
cnf(461,plain,
equal(apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),A),B),C),apply(C,apply(apply(apply(B,A),B),C))),
inference(para,[status(thm),theory(equality)],[101,7]),
[iquote('para(101,7)')] ).
cnf(462,plain,
equal(apply(A,apply(apply(apply(B,C),B),A)),apply(apply(apply(apply(n,apply(b,apply(b,apply(n,b)))),C),B),A)),
inference(flip,[status(thm),theory(equality)],[461]),
[iquote('flip(461)')] ).
cnf(463,plain,
$false,
inference(conflict,[status(thm)],[462,4]),
[iquote('conflict(462,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n017.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 : Tue May 31 09:33:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.09 ----- EQP 0.9e, May 2009 -----
% 0.71/1.09 The job began on n017.cluster.edu, Tue May 31 09:33:41 2022
% 0.71/1.09 The command was "./eqp09e".
% 0.71/1.09
% 0.71/1.09 set(prolog_style_variables).
% 0.71/1.09 set(lrpo).
% 0.71/1.09 set(basic_paramod).
% 0.71/1.09 set(functional_subsume).
% 0.71/1.09 set(ordered_paramod).
% 0.71/1.09 set(prime_paramod).
% 0.71/1.09 set(para_pairs).
% 0.71/1.09 assign(pick_given_ratio,4).
% 0.71/1.09 clear(print_kept).
% 0.71/1.09 clear(print_new_demod).
% 0.71/1.09 clear(print_back_demod).
% 0.71/1.09 clear(print_given).
% 0.71/1.09 assign(max_mem,64000).
% 0.71/1.09 end_of_commands.
% 0.71/1.09
% 0.71/1.09 Usable:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Sos:
% 0.71/1.09 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.09 0 (wt=-1) [] apply(apply(apply(n,A),B),C) = apply(apply(apply(A,C),B),C).
% 0.71/1.09 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Demodulators:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Passive:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Starting to process input.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.09 1 is a new demodulator.
% 0.71/1.09
% 0.71/1.09 ** KEPT: 2 (wt=15) [] apply(apply(apply(n,A),B),C) = apply(apply(apply(A,C),B),C).
% 0.71/1.09
% 0.71/1.09 ** KEPT: 3 (wt=15) [flip(2)] apply(apply(apply(A,B),C),B) = apply(apply(apply(n,A),C),B).
% 0.71/1.09 clause forward subsumed: 0 (wt=15) [flip(3)] apply(apply(apply(n,A),C),B) = apply(apply(apply(A,B),C),B).
% 0.71/1.09
% 0.71/1.09 ** KEPT: 4 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.71/1.09 ---------------- PROOF FOUND ----------------
% 0.71/1.09 % SZS status Unsatisfiable
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 After processing input:
% 0.71/1.09
% 0.71/1.09 Usable:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Sos:
% 0.71/1.09 4 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.71/1.09 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.09 2 (wt=15) [] apply(apply(apply(n,A),B),C) = apply(apply(apply(A,C),B),C).
% 0.71/1.09 3 (wt=15) [flip(2)] apply(apply(apply(A,B),C),B) = apply(apply(apply(n,A),C),B).
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Demodulators:
% 0.71/1.09 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 Passive:
% 0.71/1.09 end_of_list.
% 0.71/1.09
% 0.71/1.09 UNIT CONFLICT from 462 and 4 at 0.03 seconds.
% 0.71/1.09
% 0.71/1.09 ---------------- PROOF ----------------
% 0.71/1.09 % SZS output start Refutation
% See solution above
% 0.71/1.09 ------------ end of proof -------------
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 ------------- memory usage ------------
% 0.71/1.09 Memory dynamically allocated (tp_alloc): 1464.
% 0.71/1.09 type (bytes each) gets frees in use avail bytes
% 0.71/1.09 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.71/1.09 term ( 16) 26394 13079 13315 29 258.8 K
% 0.71/1.09 gen_ptr ( 8) 64528 815 63713 9 497.8 K
% 0.71/1.09 context ( 808) 21520 21518 2 3 3.9 K
% 0.71/1.09 trail ( 12) 1298 1298 0 5 0.1 K
% 0.71/1.09 bt_node ( 68) 4886 4883 3 14 1.1 K
% 0.71/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.09 ac_match_free_vars_pos (4020)
% 0.71/1.09 0 0 0 0 0.0 K
% 0.71/1.09 discrim ( 12) 9970 0 9970 0 116.8 K
% 0.71/1.09 flat ( 40) 78512 78512 0 59 2.3 K
% 0.71/1.09 discrim_pos ( 12) 297 297 0 1 0.0 K
% 0.71/1.09 fpa_head ( 12) 2417 0 2417 0 28.3 K
% 0.71/1.09 fpa_tree ( 28) 7009 7009 0 63 1.7 K
% 0.71/1.09 fpa_pos ( 36) 518 518 0 1 0.0 K
% 0.71/1.09 literal ( 12) 1788 1326 462 1 5.4 K
% 0.71/1.09 clause ( 24) 1788 1326 462 1 10.9 K
% 0.71/1.09 list ( 12) 115 59 56 3 0.7 K
% 0.71/1.09 list_pos ( 20) 1442 3 1439 0 28.1 K
% 0.71/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.09
% 0.71/1.09 -------------- statistics -------------
% 0.71/1.09 Clauses input 3
% 0.71/1.09 Usable input 0
% 0.71/1.09 Sos input 3
% 0.71/1.09 Demodulators input 0
% 0.71/1.09 Passive input 0
% 0.71/1.09
% 0.71/1.09 Processed BS (before search) 5
% 0.71/1.09 Forward subsumed BS 1
% 0.71/1.09 Kept BS 4
% 0.71/1.09 New demodulators BS 1
% 0.71/1.09 Back demodulated BS 0
% 0.71/1.09
% 0.71/1.09 Clauses or pairs given 274
% 0.71/1.09 Clauses generated 727
% 0.71/1.09 Forward subsumed 269
% 0.71/1.09 Deleted by weight 0
% 0.71/1.09 Deleted by variable count 0
% 0.71/1.09 Kept 458
% 0.71/1.09 New demodulators 55
% 0.71/1.09 Back demodulated 0
% 0.71/1.09 Ordered paramod prunes 0
% 0.71/1.09 Basic paramod prunes 606
% 0.71/1.09 Prime paramod prunes 1
% 0.71/1.09 Semantic prunes 0
% 0.71/1.09
% 0.71/1.09 Rewrite attmepts 14381
% 0.71/1.09 Rewrites 60
% 0.71/1.09
% 0.71/1.09 FPA overloads 0
% 0.71/1.09 FPA underloads 0
% 0.71/1.09
% 0.71/1.09 Usable size 0
% 0.71/1.09 Sos size 461
% 0.71/1.09 Demodulators size 56
% 0.71/1.09 Passive size 0
% 0.71/1.09 Disabled size 0
% 0.71/1.09
% 0.71/1.09 Proofs found 1
% 0.71/1.09
% 0.71/1.09 ----------- times (seconds) ----------- Tue May 31 09:33:41 2022
% 0.71/1.09
% 0.71/1.09 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.71/1.09 system CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.71/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.09 input time 0.00
% 0.71/1.09 paramodulation time 0.00
% 0.71/1.09 demodulation time 0.00
% 0.71/1.09 orient time 0.00
% 0.71/1.09 weigh time 0.00
% 0.71/1.09 forward subsume time 0.01
% 0.71/1.09 back demod find time 0.00
% 0.71/1.09 conflict time 0.00
% 0.71/1.09 LRPO time 0.00
% 0.71/1.09 store clause time 0.01
% 0.71/1.09 disable clause time 0.00
% 0.71/1.09 prime paramod time 0.00
% 0.71/1.09 semantics time 0.00
% 0.71/1.09
% 0.71/1.09 EQP interrupted
%------------------------------------------------------------------------------