TSTP Solution File: COL042-9 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL042-9 : TPTP v8.1.0. Released v2.1.0.
% 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 : Fri Jul 15 00:23:15 EDT 2022
% Result : Unsatisfiable 0.68s 1.08s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 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; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL042-9.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w1,A),B),apply(apply(B,A),A)),
file('COL042-9.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(A,B),B),apply(apply(w1,B),A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))),strong_fixed_point),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
~ equal(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),apply(strong_fixed_point,fixed_pt)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(6,plain,
equal(apply(apply(w1,A),w1),apply(apply(A,A),A)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(19,plain,
equal(apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,A)))),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1]),1,1]),1]),
[iquote('para(4,1),demod([1,1]),flip(1)')] ).
cnf(190,plain,
equal(apply(apply(w1,apply(apply(b,apply(b,A)),w1)),w1),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,2]),1]),1]),
[iquote('para(19,2),demod([1]),flip(1)')] ).
cnf(191,plain,
equal(apply(apply(w1,apply(apply(b,apply(b,A)),w1)),apply(apply(b,apply(b,A)),w1)),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[190,2]),1]),
[iquote('para(190,2),flip(1)')] ).
cnf(201,plain,
equal(apply(A,apply(strong_fixed_point,A)),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[190,6]),1,1,191]),1]),
[iquote('para(190,6),demod([1,1,191]),flip(1)')] ).
cnf(202,plain,
$false,
inference(conflict,[status(thm)],[201,5]),
[iquote('conflict(201,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL042-9 : TPTP v8.1.0. Released v2.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue May 31 10:19:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.68/1.07 ----- EQP 0.9e, May 2009 -----
% 0.68/1.07 The job began on n022.cluster.edu, Tue May 31 10:19:38 2022
% 0.68/1.07 The command was "./eqp09e".
% 0.68/1.07
% 0.68/1.07 set(prolog_style_variables).
% 0.68/1.07 set(lrpo).
% 0.68/1.07 set(basic_paramod).
% 0.68/1.07 set(functional_subsume).
% 0.68/1.07 set(ordered_paramod).
% 0.68/1.07 set(prime_paramod).
% 0.68/1.07 set(para_pairs).
% 0.68/1.07 assign(pick_given_ratio,4).
% 0.68/1.07 clear(print_kept).
% 0.68/1.07 clear(print_new_demod).
% 0.68/1.07 clear(print_back_demod).
% 0.68/1.07 clear(print_given).
% 0.68/1.07 assign(max_mem,64000).
% 0.68/1.07 end_of_commands.
% 0.68/1.07
% 0.68/1.07 Usable:
% 0.68/1.07 end_of_list.
% 0.68/1.07
% 0.68/1.07 Sos:
% 0.68/1.07 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.68/1.07 0 (wt=-1) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.68/1.07 0 (wt=-1) [] strong_fixed_point = apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))).
% 0.68/1.07 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.68/1.07 end_of_list.
% 0.68/1.07
% 0.68/1.07 Demodulators:
% 0.68/1.07 end_of_list.
% 0.68/1.07
% 0.68/1.07 Passive:
% 0.68/1.07 end_of_list.
% 0.68/1.07
% 0.68/1.07 Starting to process input.
% 0.68/1.07
% 0.68/1.07 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.68/1.07 1 is a new demodulator.
% 0.68/1.07
% 0.68/1.07 ** KEPT: 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.68/1.08
% 0.68/1.08 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.68/1.08 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w1,B),A) = apply(apply(A,B),B).
% 0.68/1.08
% 0.68/1.08 ** KEPT: 4 (wt=19) [flip(1)] apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))) = strong_fixed_point.
% 0.68/1.08 4 is a new demodulator.
% 0.68/1.08
% 0.68/1.08 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.68/1.08 ---------------- PROOF FOUND ----------------
% 0.68/1.08 % SZS status Unsatisfiable
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 After processing input:
% 0.68/1.08
% 0.68/1.08 Usable:
% 0.68/1.08 end_of_list.
% 0.68/1.08
% 0.68/1.08 Sos:
% 0.68/1.08 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.68/1.08 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.68/1.08 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.68/1.08 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.68/1.08 4 (wt=19) [flip(1)] apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))) = strong_fixed_point.
% 0.68/1.08 end_of_list.
% 0.68/1.08
% 0.68/1.08 Demodulators:
% 0.68/1.08 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.68/1.08 4 (wt=19) [flip(1)] apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),apply(apply(b,b),b))) = strong_fixed_point.
% 0.68/1.08 end_of_list.
% 0.68/1.08
% 0.68/1.08 Passive:
% 0.68/1.08 end_of_list.
% 0.68/1.08
% 0.68/1.08 UNIT CONFLICT from 201 and 5 at 0.01 seconds.
% 0.68/1.08
% 0.68/1.08 ---------------- PROOF ----------------
% 0.68/1.08 % SZS output start Refutation
% See solution above
% 0.68/1.08 ------------ end of proof -------------
% 0.68/1.08
% 0.68/1.08
% 0.68/1.08 ------------- memory usage ------------
% 0.68/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.68/1.08 type (bytes each) gets frees in use avail bytes
% 0.68/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.68/1.08 term ( 16) 11220 6867 4353 36 84.9 K
% 0.68/1.08 gen_ptr ( 8) 18686 858 17828 10 139.4 K
% 0.68/1.08 context ( 808) 11043 11041 2 5 5.5 K
% 0.68/1.08 trail ( 12) 173 173 0 3 0.0 K
% 0.68/1.08 bt_node ( 68) 4434 4429 5 12 1.1 K
% 0.68/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.68/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.68/1.08 ac_match_free_vars_pos (4020)
% 0.68/1.08 0 0 0 0 0.0 K
% 0.68/1.08 discrim ( 12) 3470 77 3393 0 39.8 K
% 0.68/1.08 flat ( 40) 25901 25901 0 39 1.5 K
% 0.68/1.08 discrim_pos ( 12) 232 232 0 1 0.0 K
% 0.68/1.08 fpa_head ( 12) 473 0 473 0 5.5 K
% 0.68/1.08 fpa_tree ( 28) 737 737 0 21 0.6 K
% 0.68/1.08 fpa_pos ( 36) 286 286 0 1 0.0 K
% 0.68/1.08 literal ( 12) 690 489 201 1 2.4 K
% 0.68/1.08 clause ( 24) 690 489 201 1 4.7 K
% 0.68/1.08 list ( 12) 144 88 56 3 0.7 K
% 0.68/1.08 list_pos ( 20) 695 19 676 0 13.2 K
% 0.68/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.68/1.08
% 0.68/1.08 -------------- statistics -------------
% 0.68/1.08 Clauses input 4
% 0.68/1.08 Usable input 0
% 0.68/1.08 Sos input 4
% 0.68/1.08 Demodulators input 0
% 0.68/1.08 Passive input 0
% 0.68/1.08
% 0.68/1.08 Processed BS (before search) 6
% 0.68/1.08 Forward subsumed BS 1
% 0.68/1.08 Kept BS 5
% 0.68/1.08 New demodulators BS 2
% 0.68/1.08 Back demodulated BS 0
% 0.68/1.08
% 0.68/1.08 Clauses or pairs given 257
% 0.68/1.08 Clauses generated 361
% 0.68/1.08 Forward subsumed 165
% 0.68/1.08 Deleted by weight 0
% 0.68/1.08 Deleted by variable count 0
% 0.68/1.08 Kept 196
% 0.68/1.08 New demodulators 83
% 0.68/1.08 Back demodulated 3
% 0.68/1.08 Ordered paramod prunes 0
% 0.68/1.08 Basic paramod prunes 524
% 0.68/1.08 Prime paramod prunes 4
% 0.68/1.08 Semantic prunes 0
% 0.68/1.08
% 0.68/1.08 Rewrite attmepts 6264
% 0.68/1.08 Rewrites 124
% 0.68/1.08
% 0.68/1.08 FPA overloads 0
% 0.68/1.08 FPA underloads 0
% 0.68/1.08
% 0.68/1.08 Usable size 0
% 0.68/1.08 Sos size 197
% 0.68/1.08 Demodulators size 82
% 0.68/1.08 Passive size 0
% 0.68/1.08 Disabled size 3
% 0.68/1.08
% 0.68/1.08 Proofs found 1
% 0.68/1.08
% 0.68/1.08 ----------- times (seconds) ----------- Tue May 31 10:19:38 2022
% 0.68/1.08
% 0.68/1.08 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.68/1.08 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.68/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.68/1.08 input time 0.00
% 0.68/1.08 paramodulation time 0.00
% 0.68/1.08 demodulation time 0.00
% 0.68/1.08 orient time 0.00
% 0.68/1.08 weigh time 0.00
% 0.68/1.08 forward subsume time 0.00
% 0.68/1.08 back demod find time 0.00
% 0.68/1.08 conflict time 0.00
% 0.68/1.08 LRPO time 0.00
% 0.68/1.08 store clause time 0.00
% 0.68/1.08 disable clause time 0.00
% 0.68/1.08 prime paramod time 0.00
% 0.68/1.08 semantics time 0.00
% 0.68/1.08
% 0.68/1.08 EQP interrupted
%------------------------------------------------------------------------------