TSTP Solution File: COL002-5 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 00:23:07 EDT 2022
% Result : Unsatisfiable 1.31s 1.67s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL002-5.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(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL002-5.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(apply(c,A),B),C),apply(apply(A,C),B)),
file('COL002-5.p',unknown),
[] ).
cnf(7,plain,
equal(weak_fixed_point(A),apply(apply(apply(s,apply(c,apply(b,A))),apply(s,apply(c,apply(b,A)))),apply(s,apply(c,apply(b,A))))),
file('COL002-5.p',unknown),
[] ).
cnf(8,plain,
~ equal(apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))),apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7,7]),1]),
[iquote('demod([7,7]),flip(1)')] ).
cnf(51,plain,
equal(apply(apply(A,apply(B,C)),C),apply(apply(apply(s,apply(c,A)),B),C)),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(5555,plain,
equal(apply(apply(apply(s,apply(c,apply(b,A))),B),C),apply(A,apply(apply(B,C),C))),
inference(para,[status(thm),theory(equality)],[51,3]),
[iquote('para(51,3)')] ).
cnf(5556,plain,
equal(apply(A,apply(apply(B,C),C)),apply(apply(apply(s,apply(c,apply(b,A))),B),C)),
inference(flip,[status(thm),theory(equality)],[5555]),
[iquote('flip(5555)')] ).
cnf(5557,plain,
$false,
inference(conflict,[status(thm)],[5556,8]),
[iquote('conflict(5556,8)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL002-5 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue May 31 15:15:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.31/1.67 ----- EQP 0.9e, May 2009 -----
% 1.31/1.67 The job began on n028.cluster.edu, Tue May 31 15:15:07 2022
% 1.31/1.67 The command was "./eqp09e".
% 1.31/1.67
% 1.31/1.67 set(prolog_style_variables).
% 1.31/1.67 set(lrpo).
% 1.31/1.67 set(basic_paramod).
% 1.31/1.67 set(functional_subsume).
% 1.31/1.67 set(ordered_paramod).
% 1.31/1.67 set(prime_paramod).
% 1.31/1.67 set(para_pairs).
% 1.31/1.67 assign(pick_given_ratio,4).
% 1.31/1.67 clear(print_kept).
% 1.31/1.67 clear(print_new_demod).
% 1.31/1.67 clear(print_back_demod).
% 1.31/1.67 clear(print_given).
% 1.31/1.67 assign(max_mem,64000).
% 1.31/1.67 end_of_commands.
% 1.31/1.67
% 1.31/1.67 Usable:
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Sos:
% 1.31/1.67 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 1.31/1.67 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 1.31/1.67 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 1.31/1.67 0 (wt=-1) [] apply(i,A) = A.
% 1.31/1.67 0 (wt=-1) [] weak_fixed_point(A) = apply(apply(apply(s,apply(c,apply(b,A))),apply(s,apply(c,apply(b,A)))),apply(s,apply(c,apply(b,A)))).
% 1.31/1.67 0 (wt=-1) [] -(weak_fixed_point(fixed_pt) = apply(fixed_pt,weak_fixed_point(fixed_pt))).
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Demodulators:
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Passive:
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Starting to process input.
% 1.31/1.67
% 1.31/1.67 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 1.31/1.67
% 1.31/1.67 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 1.31/1.67 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 1.31/1.67
% 1.31/1.67 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 1.31/1.67 3 is a new demodulator.
% 1.31/1.67
% 1.31/1.67 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 1.31/1.67
% 1.31/1.67 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 1.31/1.67 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 1.31/1.67
% 1.31/1.67 ** KEPT: 6 (wt=5) [] apply(i,A) = A.
% 1.31/1.67 6 is a new demodulator.
% 1.31/1.67
% 1.31/1.67 ** KEPT: 7 (wt=26) [] weak_fixed_point(A) = apply(apply(apply(s,apply(c,apply(b,A))),apply(s,apply(c,apply(b,A)))),apply(s,apply(c,apply(b,A)))).
% 1.31/1.67 7 is a new demodulator.
% 1.31/1.67
% 1.31/1.67 ** KEPT: 8 (wt=49) [demod([7,7]),flip(1)] -(apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))) = apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))).
% 1.31/1.67 ---------------- PROOF FOUND ----------------
% 1.31/1.67 % SZS status Unsatisfiable
% 1.31/1.67
% 1.31/1.67
% 1.31/1.67 After processing input:
% 1.31/1.67
% 1.31/1.67 Usable:
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Sos:
% 1.31/1.67 6 (wt=5) [] apply(i,A) = A.
% 1.31/1.67 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 1.31/1.67 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 1.31/1.67 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 1.31/1.67 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 1.31/1.67 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 1.31/1.67 7 (wt=26) [] weak_fixed_point(A) = apply(apply(apply(s,apply(c,apply(b,A))),apply(s,apply(c,apply(b,A)))),apply(s,apply(c,apply(b,A)))).
% 1.31/1.67 8 (wt=49) [demod([7,7]),flip(1)] -(apply(fixed_pt,apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))) = apply(apply(apply(s,apply(c,apply(b,fixed_pt))),apply(s,apply(c,apply(b,fixed_pt)))),apply(s,apply(c,apply(b,fixed_pt))))).
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Demodulators:
% 1.31/1.67 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 1.31/1.67 6 (wt=5) [] apply(i,A) = A.
% 1.31/1.67 7 (wt=26) [] weak_fixed_point(A) = apply(apply(apply(s,apply(c,apply(b,A))),apply(s,apply(c,apply(b,A)))),apply(s,apply(c,apply(b,A)))).
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 Passive:
% 1.31/1.67 end_of_list.
% 1.31/1.67
% 1.31/1.67 UNIT CONFLICT from 5556 and 8 at 0.45 seconds.
% 1.31/1.67
% 1.31/1.67 ---------------- PROOF ----------------
% 1.31/1.67 % SZS output start Refutation
% See solution above
% 1.31/1.67 ------------ end of proof -------------
% 1.31/1.67
% 1.31/1.67
% 1.31/1.67 ------------- memory usage ------------
% 1.31/1.67 Memory dynamically allocated (tp_alloc): 10253.
% 1.31/1.67 type (bytes each) gets frees in use avail bytes
% 1.31/1.67 sym_ent ( 96) 58 0 58 0 5.4 K
% 1.31/1.67 term ( 16) 311301 160042 151259 54 2933.6 K
% 1.31/1.67 gen_ptr ( 8) 729077 36094 692983 9 5414.0 K
% 1.31/1.67 context ( 808) 278496 278494 2 4 4.7 K
% 1.31/1.67 trail ( 12) 7335 7335 0 5 0.1 K
% 1.31/1.67 bt_node ( 68) 94421 94416 5 17 1.5 K
% 1.31/1.67 ac_position (285432) 0 0 0 0 0.0 K
% 1.31/1.67 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.31/1.67 ac_match_free_vars_pos (4020)
% 1.31/1.67 0 0 0 0 0.0 K
% 1.31/1.67 discrim ( 12) 89504 8902 80602 0 944.6 K
% 1.31/1.67 flat ( 40) 964412 964412 0 73 2.9 K
% 1.31/1.67 discrim_pos ( 12) 5800 5800 0 1 0.0 K
% 1.31/1.67 fpa_head ( 12) 2750 0 2750 0 32.2 K
% 1.31/1.67 fpa_tree ( 28) 29868 29868 0 133 3.6 K
% 1.31/1.67 fpa_pos ( 36) 6637 6637 0 1 0.0 K
% 1.31/1.67 literal ( 12) 18660 13104 5556 1 65.1 K
% 1.31/1.67 clause ( 24) 18660 13104 5556 1 130.2 K
% 1.31/1.67 list ( 12) 1140 1084 56 3 0.7 K
% 1.31/1.67 list_pos ( 20) 19189 3219 15970 0 311.9 K
% 1.31/1.67 pair_index ( 40) 2 0 2 0 0.1 K
% 1.31/1.67
% 1.31/1.67 -------------- statistics -------------
% 1.31/1.67 Clauses input 6
% 1.31/1.67 Usable input 0
% 1.31/1.67 Sos input 6
% 1.31/1.67 Demodulators input 0
% 1.31/1.67 Passive input 0
% 1.31/1.67
% 1.31/1.67 Processed BS (before search) 10
% 1.31/1.67 Forward subsumed BS 2
% 1.31/1.67 Kept BS 8
% 1.31/1.67 New demodulators BS 3
% 1.31/1.67 Back demodulated BS 0
% 1.31/1.67
% 1.31/1.67 Clauses or pairs given 4505
% 1.31/1.67 Clauses generated 9398
% 1.31/1.67 Forward subsumed 3850
% 1.31/1.67 Deleted by weight 0
% 1.31/1.67 Deleted by variable count 0
% 1.31/1.67 Kept 5548
% 1.31/1.67 New demodulators 1078
% 1.31/1.67 Back demodulated 718
% 1.31/1.67 Ordered paramod prunes 0
% 1.31/1.67 Basic paramod prunes 24605
% 1.31/1.67 Prime paramod prunes 22
% 1.31/1.67 Semantic prunes 0
% 1.31/1.67
% 1.31/1.67 Rewrite attmepts 178831
% 1.31/1.67 Rewrites 2812
% 1.31/1.67
% 1.31/1.67 FPA overloads 0
% 1.31/1.67 FPA underloads 0
% 1.31/1.67
% 1.31/1.67 Usable size 0
% 1.31/1.67 Sos size 4837
% 1.31/1.67 Demodulators size 741
% 1.31/1.67 Passive size 0
% 1.31/1.67 Disabled size 718
% 1.31/1.67
% 1.31/1.67 Proofs found 1
% 1.31/1.67
% 1.31/1.67 ----------- times (seconds) ----------- Tue May 31 15:15:07 2022
% 1.31/1.67
% 1.31/1.67 user CPU time 0.45 (0 hr, 0 min, 0 sec)
% 1.31/1.67 system CPU time 0.15 (0 hr, 0 min, 0 sec)
% 1.31/1.67 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.31/1.67 input time 0.00
% 1.31/1.67 paramodulation time 0.03
% 1.31/1.67 demodulation time 0.04
% 1.31/1.67 orient time 0.03
% 1.31/1.67 weigh time 0.01
% 1.31/1.67 forward subsume time 0.04
% 1.31/1.67 back demod find time 0.04
% 1.31/1.67 conflict time 0.02
% 1.31/1.67 LRPO time 0.01
% 1.31/1.67 store clause time 0.18
% 1.31/1.67 disable clause time 0.01
% 1.31/1.67 prime paramod time 0.01
% 1.31/1.67 semantics time 0.00
% 1.31/1.67
% 1.31/1.67 EQP interrupted
%------------------------------------------------------------------------------