TSTP Solution File: COL042-8 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 0.67s 1.09s
% Output : Refutation 0.67s
% 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 : 7 ( 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('COL042-8.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w1,A),B),apply(apply(B,A),A)),
file('COL042-8.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(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),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(187,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(188,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)],[187,2]),1]),
[iquote('para(187,2),flip(1)')] ).
cnf(198,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)],[187,6]),1,1,188]),1]),
[iquote('para(187,6),demod([1,1,188]),flip(1)')] ).
cnf(199,plain,
$false,
inference(conflict,[status(thm)],[198,5]),
[iquote('conflict(198,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COL042-8 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n025.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 04:27:27 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.67/1.09 ----- EQP 0.9e, May 2009 -----
% 0.67/1.09 The job began on n025.cluster.edu, Tue May 31 04:27:28 2022
% 0.67/1.09 The command was "./eqp09e".
% 0.67/1.09
% 0.67/1.09 set(prolog_style_variables).
% 0.67/1.09 set(lrpo).
% 0.67/1.09 set(basic_paramod).
% 0.67/1.09 set(functional_subsume).
% 0.67/1.09 set(ordered_paramod).
% 0.67/1.09 set(prime_paramod).
% 0.67/1.09 set(para_pairs).
% 0.67/1.09 assign(pick_given_ratio,4).
% 0.67/1.09 clear(print_kept).
% 0.67/1.09 clear(print_new_demod).
% 0.67/1.09 clear(print_back_demod).
% 0.67/1.09 clear(print_given).
% 0.67/1.09 assign(max_mem,64000).
% 0.67/1.09 end_of_commands.
% 0.67/1.09
% 0.67/1.09 Usable:
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Sos:
% 0.67/1.09 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.09 0 (wt=-1) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.67/1.09 0 (wt=-1) [] strong_fixed_point = apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b).
% 0.67/1.09 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Demodulators:
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Passive:
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Starting to process input.
% 0.67/1.09
% 0.67/1.09 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.09 1 is a new demodulator.
% 0.67/1.09
% 0.67/1.09 ** KEPT: 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.67/1.09
% 0.67/1.09 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.67/1.09 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w1,B),A) = apply(apply(A,B),B).
% 0.67/1.09
% 0.67/1.09 ** KEPT: 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) = strong_fixed_point.
% 0.67/1.09 4 is a new demodulator.
% 0.67/1.09
% 0.67/1.09 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.67/1.09 ---------------- PROOF FOUND ----------------
% 0.67/1.09 % SZS status Unsatisfiable
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 After processing input:
% 0.67/1.09
% 0.67/1.09 Usable:
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Sos:
% 0.67/1.09 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.67/1.09 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.67/1.09 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.67/1.09 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.09 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) = strong_fixed_point.
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Demodulators:
% 0.67/1.09 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.09 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(w1,w1)),apply(apply(b,apply(b,w1)),b))),b) = strong_fixed_point.
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 Passive:
% 0.67/1.09 end_of_list.
% 0.67/1.09
% 0.67/1.09 UNIT CONFLICT from 198 and 5 at 0.01 seconds.
% 0.67/1.09
% 0.67/1.09 ---------------- PROOF ----------------
% 0.67/1.09 % SZS output start Refutation
% See solution above
% 0.67/1.09 ------------ end of proof -------------
% 0.67/1.09
% 0.67/1.09
% 0.67/1.09 ------------- memory usage ------------
% 0.67/1.09 Memory dynamically allocated (tp_alloc): 488.
% 0.67/1.09 type (bytes each) gets frees in use avail bytes
% 0.67/1.09 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.67/1.09 term ( 16) 11110 6854 4256 36 83.0 K
% 0.67/1.09 gen_ptr ( 8) 18315 858 17457 10 136.5 K
% 0.67/1.09 context ( 808) 10912 10910 2 5 5.5 K
% 0.67/1.09 trail ( 12) 169 169 0 3 0.0 K
% 0.67/1.09 bt_node ( 68) 4431 4426 5 12 1.1 K
% 0.67/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.67/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.67/1.09 ac_match_free_vars_pos (4020)
% 0.67/1.09 0 0 0 0 0.0 K
% 0.67/1.09 discrim ( 12) 3398 77 3321 0 38.9 K
% 0.67/1.09 flat ( 40) 25485 25485 0 29 1.1 K
% 0.67/1.09 discrim_pos ( 12) 232 232 0 1 0.0 K
% 0.67/1.09 fpa_head ( 12) 526 0 526 0 6.2 K
% 0.67/1.09 fpa_tree ( 28) 684 684 0 21 0.6 K
% 0.67/1.09 fpa_pos ( 36) 280 280 0 1 0.0 K
% 0.67/1.09 literal ( 12) 684 486 198 1 2.3 K
% 0.67/1.09 clause ( 24) 684 486 198 1 4.7 K
% 0.67/1.09 list ( 12) 141 85 56 3 0.7 K
% 0.67/1.09 list_pos ( 20) 683 19 664 0 13.0 K
% 0.67/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.67/1.09
% 0.67/1.09 -------------- statistics -------------
% 0.67/1.09 Clauses input 4
% 0.67/1.09 Usable input 0
% 0.67/1.09 Sos input 4
% 0.67/1.09 Demodulators input 0
% 0.67/1.09 Passive input 0
% 0.67/1.09
% 0.67/1.09 Processed BS (before search) 6
% 0.67/1.09 Forward subsumed BS 1
% 0.67/1.09 Kept BS 5
% 0.67/1.09 New demodulators BS 2
% 0.67/1.09 Back demodulated BS 0
% 0.67/1.09
% 0.67/1.09 Clauses or pairs given 257
% 0.67/1.09 Clauses generated 358
% 0.67/1.09 Forward subsumed 165
% 0.67/1.09 Deleted by weight 0
% 0.67/1.09 Deleted by variable count 0
% 0.67/1.09 Kept 193
% 0.67/1.09 New demodulators 80
% 0.67/1.09 Back demodulated 3
% 0.67/1.09 Ordered paramod prunes 0
% 0.67/1.09 Basic paramod prunes 521
% 0.67/1.09 Prime paramod prunes 4
% 0.67/1.09 Semantic prunes 0
% 0.67/1.09
% 0.67/1.09 Rewrite attmepts 6157
% 0.67/1.09 Rewrites 124
% 0.67/1.09
% 0.67/1.09 FPA overloads 0
% 0.67/1.09 FPA underloads 0
% 0.67/1.09
% 0.67/1.09 Usable size 0
% 0.67/1.09 Sos size 194
% 0.67/1.09 Demodulators size 79
% 0.67/1.09 Passive size 0
% 0.67/1.09 Disabled size 3
% 0.67/1.09
% 0.67/1.09 Proofs found 1
% 0.67/1.09
% 0.67/1.09 ----------- times (seconds) ----------- Tue May 31 04:27:28 2022
% 0.67/1.09
% 0.67/1.09 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.67/1.09 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.67/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.67/1.09 input time 0.00
% 0.67/1.09 paramodulation time 0.00
% 0.67/1.09 demodulation time 0.00
% 0.67/1.09 orient time 0.00
% 0.67/1.09 weigh time 0.00
% 0.67/1.09 forward subsume time 0.00
% 0.67/1.09 back demod find time 0.00
% 0.67/1.09 conflict time 0.00
% 0.67/1.09 LRPO time 0.00
% 0.67/1.09 store clause time 0.00
% 0.67/1.09 disable clause time 0.00
% 0.67/1.09 prime paramod time 0.00
% 0.67/1.09 semantics time 0.00
% 0.67/1.09
% 0.67/1.09 EQP interrupted
%------------------------------------------------------------------------------