TSTP Solution File: COL006-6 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL006-6 : TPTP v8.1.0. Released v2.1.0.
% 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 00:23:10 EDT 2022
% Result : Unsatisfiable 0.75s 1.52s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 23 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL006-6.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(A,B),apply(C,B)),apply(apply(apply(s,A),C),B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(apply(apply(k,A),B),A),
file('COL006-6.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))),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(apply(s,k),A),B),B),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(7,plain,
equal(apply(apply(apply(s,apply(k,A)),B),C),apply(A,apply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,2]),1]),
[iquote('para(3,2),flip(1)')] ).
cnf(28,plain,
equal(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),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]),3]),1]),
[iquote('para(4,1),demod([3]),flip(1)')] ).
cnf(43,plain,
equal(apply(apply(A,apply(B,C)),apply(D,C)),apply(apply(apply(s,apply(apply(s,apply(k,A)),B)),D),C)),
inference(para,[status(thm),theory(equality)],[7,2]),
[iquote('para(7,2)')] ).
cnf(1714,plain,
equal(apply(apply(apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),A),apply(apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),A)),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[28,1]),6,6]),1]),
[iquote('para(28,1),demod([6,6]),flip(1)')] ).
cnf(3327,plain,
equal(apply(apply(apply(apply(s,apply(apply(s,apply(k,s)),k)),A),B),C),apply(B,apply(apply(A,B),C))),
inference(para,[status(thm),theory(equality)],[43,7]),
[iquote('para(43,7)')] ).
cnf(3330,plain,
equal(apply(A,apply(strong_fixed_point,A)),apply(strong_fixed_point,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1714]),3327,3,28]),
[iquote('back_demod(1714),demod([3327,3,28])')] ).
cnf(3331,plain,
$false,
inference(conflict,[status(thm)],[3330,5]),
[iquote('conflict(3330,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL006-6 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 11:51:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.52 ----- EQP 0.9e, May 2009 -----
% 0.75/1.52 The job began on n017.cluster.edu, Tue May 31 11:51:11 2022
% 0.75/1.52 The command was "./eqp09e".
% 0.75/1.52
% 0.75/1.52 set(prolog_style_variables).
% 0.75/1.52 set(lrpo).
% 0.75/1.52 set(basic_paramod).
% 0.75/1.52 set(functional_subsume).
% 0.75/1.52 set(ordered_paramod).
% 0.75/1.52 set(prime_paramod).
% 0.75/1.52 set(para_pairs).
% 0.75/1.52 assign(pick_given_ratio,4).
% 0.75/1.52 clear(print_kept).
% 0.75/1.52 clear(print_new_demod).
% 0.75/1.52 clear(print_back_demod).
% 0.75/1.52 clear(print_given).
% 0.75/1.52 assign(max_mem,64000).
% 0.75/1.52 end_of_commands.
% 0.75/1.52
% 0.75/1.52 Usable:
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Sos:
% 0.75/1.52 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.75/1.52 0 (wt=-1) [] apply(apply(k,A),B) = A.
% 0.75/1.52 0 (wt=-1) [] strong_fixed_point = apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))).
% 0.75/1.52 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Demodulators:
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Passive:
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Starting to process input.
% 0.75/1.52
% 0.75/1.52 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.75/1.52
% 0.75/1.52 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.75/1.52 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.75/1.52
% 0.75/1.52 ** KEPT: 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.75/1.52 3 is a new demodulator.
% 0.75/1.52
% 0.75/1.52 ** KEPT: 4 (wt=45) [flip(1)] apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) = strong_fixed_point.
% 0.75/1.52 4 is a new demodulator.
% 0.75/1.52
% 0.75/1.52 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.75/1.52 ---------------- PROOF FOUND ----------------
% 0.75/1.52 % SZS status Unsatisfiable
% 0.75/1.52
% 0.75/1.52
% 0.75/1.52 After processing input:
% 0.75/1.52
% 0.75/1.52 Usable:
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Sos:
% 0.75/1.52 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.75/1.52 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.75/1.52 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.75/1.52 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.75/1.52 4 (wt=45) [flip(1)] apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) = strong_fixed_point.
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Demodulators:
% 0.75/1.52 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.75/1.52 4 (wt=45) [flip(1)] apply(apply(s,apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,apply(k,s)),k)),apply(k,apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))))) = strong_fixed_point.
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 Passive:
% 0.75/1.52 end_of_list.
% 0.75/1.52
% 0.75/1.52 UNIT CONFLICT from 3330 and 5 at 0.32 seconds.
% 0.75/1.52
% 0.75/1.52 ---------------- PROOF ----------------
% 0.75/1.52 % SZS output start Refutation
% See solution above
% 0.75/1.52 ------------ end of proof -------------
% 0.75/1.52
% 0.75/1.52
% 0.75/1.52 ------------- memory usage ------------
% 0.75/1.52 Memory dynamically allocated (tp_alloc): 8300.
% 0.75/1.52 type (bytes each) gets frees in use avail bytes
% 0.75/1.52 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.75/1.52 term ( 16) 245072 135932 109140 98 2120.5 K
% 0.75/1.52 gen_ptr ( 8) 571649 19952 551697 55 4310.6 K
% 0.75/1.52 context ( 808) 230998 230996 2 4 4.7 K
% 0.75/1.52 trail ( 12) 6786 6786 0 4 0.0 K
% 0.75/1.52 bt_node ( 68) 84833 84826 7 40 3.1 K
% 0.75/1.52 ac_position (285432) 0 0 0 0 0.0 K
% 0.75/1.52 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.75/1.52 ac_match_free_vars_pos (4020)
% 0.75/1.52 0 0 0 0 0.0 K
% 0.75/1.52 discrim ( 12) 69612 4944 64668 89 758.9 K
% 0.75/1.52 flat ( 40) 764528 764528 0 133 5.2 K
% 0.75/1.52 discrim_pos ( 12) 3480 3480 0 1 0.0 K
% 0.75/1.52 fpa_head ( 12) 2635 0 2635 0 30.9 K
% 0.75/1.52 fpa_tree ( 28) 30710 30710 0 67 1.8 K
% 0.75/1.52 fpa_pos ( 36) 3984 3984 0 1 0.0 K
% 0.75/1.52 literal ( 12) 11552 8222 3330 1 39.0 K
% 0.75/1.52 clause ( 24) 11552 8222 3330 1 78.1 K
% 0.75/1.52 list ( 12) 713 656 57 2 0.7 K
% 0.75/1.52 list_pos ( 20) 11132 1078 10054 4 196.4 K
% 0.75/1.52 pair_index ( 40) 2 0 2 0 0.1 K
% 0.75/1.52
% 0.75/1.52 -------------- statistics -------------
% 0.75/1.52 Clauses input 4
% 0.75/1.52 Usable input 0
% 0.75/1.52 Sos input 4
% 0.75/1.52 Demodulators input 0
% 0.75/1.52 Passive input 0
% 0.75/1.52
% 0.75/1.52 Processed BS (before search) 6
% 0.75/1.52 Forward subsumed BS 1
% 0.75/1.52 Kept BS 5
% 0.75/1.52 New demodulators BS 2
% 0.75/1.52 Back demodulated BS 0
% 0.75/1.52
% 0.75/1.52 Clauses or pairs given 3335
% 0.75/1.52 Clauses generated 5943
% 0.75/1.52 Forward subsumed 2618
% 0.75/1.52 Deleted by weight 0
% 0.75/1.52 Deleted by variable count 0
% 0.75/1.52 Kept 3325
% 0.75/1.52 New demodulators 652
% 0.75/1.52 Back demodulated 241
% 0.75/1.52 Ordered paramod prunes 0
% 0.75/1.52 Basic paramod prunes 23560
% 0.75/1.52 Prime paramod prunes 8
% 0.75/1.52 Semantic prunes 0
% 0.75/1.52
% 0.75/1.52 Rewrite attmepts 145962
% 0.75/1.52 Rewrites 1712
% 0.75/1.52
% 0.75/1.52 FPA overloads 0
% 0.75/1.52 FPA underloads 0
% 0.75/1.52
% 0.75/1.52 Usable size 0
% 0.75/1.52 Sos size 3088
% 0.75/1.52 Demodulators size 549
% 0.75/1.52 Passive size 0
% 0.75/1.52 Disabled size 241
% 0.75/1.52
% 0.75/1.52 Proofs found 1
% 0.75/1.52
% 0.75/1.52 ----------- times (seconds) ----------- Tue May 31 11:51:12 2022
% 0.75/1.52
% 0.75/1.52 user CPU time 0.32 (0 hr, 0 min, 0 sec)
% 0.75/1.52 system CPU time 0.10 (0 hr, 0 min, 0 sec)
% 0.75/1.52 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.75/1.52 input time 0.00
% 0.75/1.52 paramodulation time 0.03
% 0.75/1.52 demodulation time 0.04
% 0.75/1.52 orient time 0.02
% 0.75/1.52 weigh time 0.01
% 0.75/1.52 forward subsume time 0.04
% 0.75/1.52 back demod find time 0.04
% 0.75/1.52 conflict time 0.02
% 0.75/1.52 LRPO time 0.01
% 0.75/1.52 store clause time 0.08
% 0.75/1.52 disable clause time 0.01
% 0.75/1.52 prime paramod time 0.01
% 0.75/1.52 semantics time 0.00
% 0.75/1.52
% 0.75/1.52 EQP interrupted
%------------------------------------------------------------------------------