TSTP Solution File: COL003-15 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL003-15 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n027.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 00:23:08 EDT 2022
% Result : Unsatisfiable 0.73s 1.14s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL003-15.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w,A),B),apply(apply(A,B),B)),
file('COL003-15.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(A,B),B),apply(apply(w,A),B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(b,apply(apply(b,apply(w,w)),w)),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(w,w),A),apply(apply(A,A),A)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(7,plain,
equal(apply(apply(A,A),A),apply(apply(w,w),A)),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(9,plain,
equal(apply(apply(apply(w,A),B),B),apply(apply(w,apply(A,B)),B)),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(13,plain,
equal(apply(apply(w,apply(b,A)),B),apply(A,apply(B,B))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(14,plain,
equal(apply(A,apply(B,B)),apply(apply(w,apply(b,A)),B)),
inference(flip,[status(thm),theory(equality)],[13]),
[iquote('flip(13)')] ).
cnf(20,plain,
equal(apply(apply(w,w),apply(w,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(77,plain,
equal(apply(apply(apply(w,apply(b,apply(b,A))),B),C),apply(A,apply(apply(B,B),C))),
inference(para,[status(thm),theory(equality)],[14,1]),
[iquote('para(14,1)')] ).
cnf(121,plain,
equal(apply(apply(w,apply(A,apply(w,A))),apply(w,A)),apply(apply(w,w),apply(w,A))),
inference(para,[status(thm),theory(equality)],[9,7]),
[iquote('para(9,7)')] ).
cnf(576,plain,
equal(apply(A,apply(strong_fixed_point,A)),apply(strong_fixed_point,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[77,7]),9,121,20,20]),
[iquote('para(77,7),demod([9,121,20,20])')] ).
cnf(577,plain,
$false,
inference(conflict,[status(thm)],[576,5]),
[iquote('conflict(576,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL003-15 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n027.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 06:07:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.14 ----- EQP 0.9e, May 2009 -----
% 0.73/1.14 The job began on n027.cluster.edu, Tue May 31 06:07:18 2022
% 0.73/1.14 The command was "./eqp09e".
% 0.73/1.14
% 0.73/1.14 set(prolog_style_variables).
% 0.73/1.14 set(lrpo).
% 0.73/1.14 set(basic_paramod).
% 0.73/1.14 set(functional_subsume).
% 0.73/1.14 set(ordered_paramod).
% 0.73/1.14 set(prime_paramod).
% 0.73/1.14 set(para_pairs).
% 0.73/1.14 assign(pick_given_ratio,4).
% 0.73/1.14 clear(print_kept).
% 0.73/1.14 clear(print_new_demod).
% 0.73/1.14 clear(print_back_demod).
% 0.73/1.14 clear(print_given).
% 0.73/1.14 assign(max_mem,64000).
% 0.73/1.14 end_of_commands.
% 0.73/1.14
% 0.73/1.14 Usable:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Sos:
% 0.73/1.14 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.14 0 (wt=-1) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.73/1.14 0 (wt=-1) [] strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)).
% 0.73/1.14 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Demodulators:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Passive:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Starting to process input.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.14 1 is a new demodulator.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 2 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.73/1.14
% 0.73/1.14 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.73/1.14 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.73/1.14
% 0.73/1.14 ** KEPT: 4 (wt=17) [flip(1)] apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)) = strong_fixed_point.
% 0.73/1.14 4 is a new demodulator.
% 0.73/1.14
% 0.73/1.14 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.73/1.14 ---------------- PROOF FOUND ----------------
% 0.73/1.14 % SZS status Unsatisfiable
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 After processing input:
% 0.73/1.14
% 0.73/1.14 Usable:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Sos:
% 0.73/1.14 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.73/1.14 2 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.73/1.14 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.73/1.14 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.14 4 (wt=17) [flip(1)] apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)) = strong_fixed_point.
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Demodulators:
% 0.73/1.14 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.73/1.14 4 (wt=17) [flip(1)] apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)) = strong_fixed_point.
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 Passive:
% 0.73/1.14 end_of_list.
% 0.73/1.14
% 0.73/1.14 UNIT CONFLICT from 576 and 5 at 0.05 seconds.
% 0.73/1.14
% 0.73/1.14 ---------------- PROOF ----------------
% 0.73/1.14 % SZS output start Refutation
% See solution above
% 0.73/1.14 ------------ end of proof -------------
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 ------------- memory usage ------------
% 0.73/1.14 Memory dynamically allocated (tp_alloc): 1464.
% 0.73/1.14 type (bytes each) gets frees in use avail bytes
% 0.73/1.14 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.73/1.14 term ( 16) 46055 31131 14924 52 290.2 K
% 0.73/1.14 gen_ptr ( 8) 73446 3744 69702 14 544.7 K
% 0.73/1.14 context ( 808) 48411 48409 2 5 5.5 K
% 0.73/1.14 trail ( 12) 418 418 0 3 0.0 K
% 0.73/1.14 bt_node ( 68) 19361 19356 5 12 1.1 K
% 0.73/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.14 ac_match_free_vars_pos (4020)
% 0.73/1.14 0 0 0 0 0.0 K
% 0.73/1.14 discrim ( 12) 12028 314 11714 0 137.3 K
% 0.73/1.14 flat ( 40) 130246 130246 0 51 2.0 K
% 0.73/1.14 discrim_pos ( 12) 1168 1168 0 1 0.0 K
% 0.73/1.14 fpa_head ( 12) 1149 0 1149 0 13.5 K
% 0.73/1.14 fpa_tree ( 28) 3031 3031 0 43 1.2 K
% 0.73/1.14 fpa_pos ( 36) 804 804 0 1 0.0 K
% 0.73/1.14 literal ( 12) 2672 2096 576 1 6.8 K
% 0.73/1.14 clause ( 24) 2672 2096 576 1 13.5 K
% 0.73/1.14 list ( 12) 287 231 56 3 0.7 K
% 0.73/1.14 list_pos ( 20) 1995 93 1902 0 37.1 K
% 0.73/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.14
% 0.73/1.14 -------------- statistics -------------
% 0.73/1.14 Clauses input 4
% 0.73/1.14 Usable input 0
% 0.73/1.14 Sos input 4
% 0.73/1.14 Demodulators input 0
% 0.73/1.14 Passive input 0
% 0.73/1.14
% 0.73/1.14 Processed BS (before search) 6
% 0.73/1.14 Forward subsumed BS 1
% 0.73/1.14 Kept BS 5
% 0.73/1.14 New demodulators BS 2
% 0.73/1.14 Back demodulated BS 0
% 0.73/1.14
% 0.73/1.14 Clauses or pairs given 1078
% 0.73/1.14 Clauses generated 1191
% 0.73/1.14 Forward subsumed 620
% 0.73/1.14 Deleted by weight 0
% 0.73/1.14 Deleted by variable count 0
% 0.73/1.14 Kept 571
% 0.73/1.14 New demodulators 226
% 0.73/1.14 Back demodulated 19
% 0.73/1.14 Ordered paramod prunes 0
% 0.73/1.14 Basic paramod prunes 3543
% 0.73/1.14 Prime paramod prunes 13
% 0.73/1.14 Semantic prunes 0
% 0.73/1.14
% 0.73/1.14 Rewrite attmepts 27129
% 0.73/1.14 Rewrites 759
% 0.73/1.14
% 0.73/1.14 FPA overloads 0
% 0.73/1.14 FPA underloads 0
% 0.73/1.14
% 0.73/1.14 Usable size 0
% 0.73/1.14 Sos size 556
% 0.73/1.14 Demodulators size 215
% 0.73/1.14 Passive size 0
% 0.73/1.14 Disabled size 19
% 0.73/1.14
% 0.73/1.14 Proofs found 1
% 0.73/1.14
% 0.73/1.14 ----------- times (seconds) ----------- Tue May 31 06:07:18 2022
% 0.73/1.14
% 0.73/1.14 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.73/1.14 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.73/1.14 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.14 input time 0.00
% 0.73/1.14 paramodulation time 0.01
% 0.73/1.14 demodulation time 0.01
% 0.73/1.14 orient time 0.01
% 0.73/1.14 weigh time 0.00
% 0.73/1.14 forward subsume time 0.00
% 0.73/1.14 back demod find time 0.00
% 0.73/1.14 conflict time 0.00
% 0.73/1.14 LRPO time 0.01
% 0.73/1.14 store clause time 0.01
% 0.73/1.14 disable clause time 0.00
% 0.73/1.14 prime paramod time 0.00
% 0.73/1.14 semantics time 0.00
% 0.73/1.14
% 0.73/1.14 EQP interrupted
%------------------------------------------------------------------------------