TSTP Solution File: COL039-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Fri Jul 15 00:23:14 EDT 2022
% Result : Unsatisfiable 0.51s 0.90s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL039-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(m,A),apply(A,A)),
file('COL039-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(A,A),apply(m,A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(o,A),B),apply(B,apply(A,B))),
file('COL039-1.p',unknown),
[] ).
cnf(6,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(20,plain,
equal(apply(m,apply(apply(b,A),B)),apply(A,apply(B,apply(apply(b,A),B)))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(21,plain,
equal(apply(A,apply(B,apply(apply(b,A),B))),apply(m,apply(apply(b,A),B))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(260,plain,
equal(apply(apply(m,apply(apply(b,o),A)),B),apply(B,apply(apply(A,apply(apply(b,o),A)),B))),
inference(para,[status(thm),theory(equality)],[21,4]),
[iquote('para(21,4)')] ).
cnf(261,plain,
equal(apply(A,apply(apply(B,apply(apply(b,o),B)),A)),apply(apply(m,apply(apply(b,o),B)),A)),
inference(flip,[status(thm),theory(equality)],[260]),
[iquote('flip(260)')] ).
cnf(262,plain,
$false,
inference(conflict,[status(thm)],[261,6]),
[iquote('conflict(261,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.09 % Command : tptp2X_and_run_eqp %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Tue May 31 11:49:58 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.51/0.90 ----- EQP 0.9e, May 2009 -----
% 0.51/0.90 The job began on n032.cluster.edu, Tue May 31 11:49:59 2022
% 0.51/0.90 The command was "./eqp09e".
% 0.51/0.90
% 0.51/0.90 set(prolog_style_variables).
% 0.51/0.90 set(lrpo).
% 0.51/0.90 set(basic_paramod).
% 0.51/0.90 set(functional_subsume).
% 0.51/0.90 set(ordered_paramod).
% 0.51/0.90 set(prime_paramod).
% 0.51/0.90 set(para_pairs).
% 0.51/0.90 assign(pick_given_ratio,4).
% 0.51/0.90 clear(print_kept).
% 0.51/0.90 clear(print_new_demod).
% 0.51/0.90 clear(print_back_demod).
% 0.51/0.90 clear(print_given).
% 0.51/0.90 assign(max_mem,64000).
% 0.51/0.90 end_of_commands.
% 0.51/0.90
% 0.51/0.90 Usable:
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Sos:
% 0.51/0.90 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.51/0.90 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.51/0.90 0 (wt=-1) [] apply(apply(o,A),B) = apply(B,apply(A,B)).
% 0.51/0.90 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Demodulators:
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Passive:
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Starting to process input.
% 0.51/0.90
% 0.51/0.90 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.51/0.90 1 is a new demodulator.
% 0.51/0.90
% 0.51/0.90 ** KEPT: 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.51/0.90
% 0.51/0.90 ** KEPT: 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.51/0.90 clause forward subsumed: 0 (wt=7) [flip(3)] apply(m,A) = apply(A,A).
% 0.51/0.90
% 0.51/0.90 ** KEPT: 4 (wt=11) [] apply(apply(o,A),B) = apply(B,apply(A,B)).
% 0.51/0.90
% 0.51/0.90 ** KEPT: 5 (wt=11) [flip(4)] apply(A,apply(B,A)) = apply(apply(o,B),A).
% 0.51/0.90 clause forward subsumed: 0 (wt=11) [flip(5)] apply(apply(o,B),A) = apply(A,apply(B,A)).
% 0.51/0.90
% 0.51/0.90 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.51/0.90 ---------------- PROOF FOUND ----------------
% 0.51/0.90 % SZS status Unsatisfiable
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 After processing input:
% 0.51/0.90
% 0.51/0.90 Usable:
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Sos:
% 0.51/0.90 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.51/0.90 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.51/0.90 4 (wt=11) [] apply(apply(o,A),B) = apply(B,apply(A,B)).
% 0.51/0.90 5 (wt=11) [flip(4)] apply(A,apply(B,A)) = apply(apply(o,B),A).
% 0.51/0.90 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.51/0.90 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Demodulators:
% 0.51/0.90 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 Passive:
% 0.51/0.90 end_of_list.
% 0.51/0.90
% 0.51/0.90 UNIT CONFLICT from 261 and 6 at 0.01 seconds.
% 0.51/0.90
% 0.51/0.90 ---------------- PROOF ----------------
% 0.51/0.90 % SZS output start Refutation
% See solution above
% 0.51/0.90 ------------ end of proof -------------
% 0.51/0.90
% 0.51/0.90
% 0.51/0.90 ------------- memory usage ------------
% 0.51/0.90 Memory dynamically allocated (tp_alloc): 488.
% 0.51/0.90 type (bytes each) gets frees in use avail bytes
% 0.51/0.90 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.51/0.90 term ( 16) 15597 10055 5542 25 107.7 K
% 0.51/0.90 gen_ptr ( 8) 24451 1389 23062 9 180.2 K
% 0.51/0.90 context ( 808) 16142 16140 2 3 3.9 K
% 0.51/0.90 trail ( 12) 273 273 0 3 0.0 K
% 0.51/0.90 bt_node ( 68) 5009 5006 3 6 0.6 K
% 0.51/0.90 ac_position (285432) 0 0 0 0 0.0 K
% 0.51/0.90 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.51/0.90 ac_match_free_vars_pos (4020)
% 0.51/0.90 0 0 0 0 0.0 K
% 0.51/0.90 discrim ( 12) 4594 97 4497 0 52.7 K
% 0.51/0.90 flat ( 40) 40229 40229 0 39 1.5 K
% 0.51/0.90 discrim_pos ( 12) 390 390 0 1 0.0 K
% 0.51/0.90 fpa_head ( 12) 753 0 753 0 8.8 K
% 0.51/0.90 fpa_tree ( 28) 1574 1574 0 37 1.0 K
% 0.51/0.90 fpa_pos ( 36) 366 366 0 1 0.0 K
% 0.51/0.90 literal ( 12) 992 731 261 1 3.1 K
% 0.51/0.90 clause ( 24) 992 731 261 1 6.1 K
% 0.51/0.90 list ( 12) 164 108 56 3 0.7 K
% 0.51/0.90 list_pos ( 20) 903 37 866 0 16.9 K
% 0.51/0.90 pair_index ( 40) 2 0 2 0 0.1 K
% 0.51/0.90
% 0.51/0.90 -------------- statistics -------------
% 0.51/0.90 Clauses input 4
% 0.51/0.90 Usable input 0
% 0.51/0.90 Sos input 4
% 0.51/0.90 Demodulators input 0
% 0.51/0.90 Passive input 0
% 0.51/0.90
% 0.51/0.90 Processed BS (before search) 8
% 0.51/0.90 Forward subsumed BS 2
% 0.51/0.90 Kept BS 6
% 0.51/0.90 New demodulators BS 1
% 0.51/0.90 Back demodulated BS 0
% 0.51/0.90
% 0.51/0.90 Clauses or pairs given 495
% 0.51/0.90 Clauses generated 513
% 0.51/0.90 Forward subsumed 258
% 0.51/0.90 Deleted by weight 0
% 0.51/0.90 Deleted by variable count 0
% 0.51/0.90 Kept 255
% 0.51/0.90 New demodulators 104
% 0.51/0.90 Back demodulated 7
% 0.51/0.90 Ordered paramod prunes 0
% 0.51/0.90 Basic paramod prunes 1501
% 0.51/0.90 Prime paramod prunes 11
% 0.51/0.90 Semantic prunes 0
% 0.51/0.90
% 0.51/0.90 Rewrite attmepts 9538
% 0.51/0.90 Rewrites 195
% 0.51/0.90
% 0.51/0.90 FPA overloads 0
% 0.51/0.90 FPA underloads 0
% 0.51/0.90
% 0.51/0.90 Usable size 0
% 0.51/0.90 Sos size 253
% 0.51/0.90 Demodulators size 100
% 0.51/0.90 Passive size 0
% 0.51/0.90 Disabled size 7
% 0.51/0.90
% 0.51/0.90 Proofs found 1
% 0.51/0.90
% 0.51/0.90 ----------- times (seconds) ----------- Tue May 31 11:49:59 2022
% 0.51/0.90
% 0.51/0.90 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.51/0.90 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.51/0.90 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.51/0.90 input time 0.00
% 0.51/0.90 paramodulation time 0.01
% 0.51/0.90 demodulation time 0.00
% 0.51/0.90 orient time 0.00
% 0.51/0.90 weigh time 0.00
% 0.51/0.90 forward subsume time 0.00
% 0.51/0.90 back demod find time 0.00
% 0.51/0.90 conflict time 0.00
% 0.51/0.90 LRPO time 0.00
% 0.51/0.90 store clause time 0.00
% 0.51/0.90 disable clause time 0.00
% 0.51/0.90 prime paramod time 0.00
% 0.51/0.90 semantics time 0.00
% 0.51/0.90
% 0.51/0.90 EQP interrupted
%------------------------------------------------------------------------------