TSTP Solution File: COL027-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 00:23:13 EDT 2022
% Result : Unsatisfiable 0.67s 1.06s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 2 RR)
% Number of literals : 8 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL027-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(apply(h,A),B),C),apply(apply(apply(A,B),C),B)),
file('COL027-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(apply(A,B),C),B),apply(apply(apply(h,A),B),C)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(apply(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(9,plain,
equal(apply(apply(A,apply(B,C)),B),apply(apply(apply(h,apply(b,A)),B),C)),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(142,plain,
equal(apply(apply(apply(h,apply(b,apply(b,A))),B),C),apply(A,apply(apply(B,C),B))),
inference(para,[status(thm),theory(equality)],[9,1]),
[iquote('para(9,1)')] ).
cnf(143,plain,
equal(apply(A,apply(apply(B,C),B)),apply(apply(apply(h,apply(b,apply(b,A))),B),C)),
inference(flip,[status(thm),theory(equality)],[142]),
[iquote('flip(142)')] ).
cnf(144,plain,
$false,
inference(conflict,[status(thm)],[143,4]),
[iquote('conflict(143,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n021.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 15:38:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/1.06 ----- EQP 0.9e, May 2009 -----
% 0.67/1.06 The job began on n021.cluster.edu, Tue May 31 15:38:30 2022
% 0.67/1.06 The command was "./eqp09e".
% 0.67/1.06
% 0.67/1.06 set(prolog_style_variables).
% 0.67/1.06 set(lrpo).
% 0.67/1.06 set(basic_paramod).
% 0.67/1.06 set(functional_subsume).
% 0.67/1.06 set(ordered_paramod).
% 0.67/1.06 set(prime_paramod).
% 0.67/1.06 set(para_pairs).
% 0.67/1.06 assign(pick_given_ratio,4).
% 0.67/1.06 clear(print_kept).
% 0.67/1.06 clear(print_new_demod).
% 0.67/1.06 clear(print_back_demod).
% 0.67/1.06 clear(print_given).
% 0.67/1.06 assign(max_mem,64000).
% 0.67/1.06 end_of_commands.
% 0.67/1.06
% 0.67/1.06 Usable:
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Sos:
% 0.67/1.06 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.06 0 (wt=-1) [] apply(apply(apply(h,A),B),C) = apply(apply(apply(A,B),C),B).
% 0.67/1.06 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Demodulators:
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Passive:
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Starting to process input.
% 0.67/1.06
% 0.67/1.06 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.06 1 is a new demodulator.
% 0.67/1.06
% 0.67/1.06 ** KEPT: 2 (wt=15) [] apply(apply(apply(h,A),B),C) = apply(apply(apply(A,B),C),B).
% 0.67/1.06
% 0.67/1.06 ** KEPT: 3 (wt=15) [flip(2)] apply(apply(apply(A,B),C),B) = apply(apply(apply(h,A),B),C).
% 0.67/1.06 clause forward subsumed: 0 (wt=15) [flip(3)] apply(apply(apply(h,A),B),C) = apply(apply(apply(A,B),C),B).
% 0.67/1.06
% 0.67/1.06 ** KEPT: 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.67/1.06 ---------------- PROOF FOUND ----------------
% 0.67/1.06 % SZS status Unsatisfiable
% 0.67/1.06
% 0.67/1.06
% 0.67/1.06 After processing input:
% 0.67/1.06
% 0.67/1.06 Usable:
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Sos:
% 0.67/1.06 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.67/1.06 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.06 2 (wt=15) [] apply(apply(apply(h,A),B),C) = apply(apply(apply(A,B),C),B).
% 0.67/1.06 3 (wt=15) [flip(2)] apply(apply(apply(A,B),C),B) = apply(apply(apply(h,A),B),C).
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Demodulators:
% 0.67/1.06 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 Passive:
% 0.67/1.06 end_of_list.
% 0.67/1.06
% 0.67/1.06 UNIT CONFLICT from 143 and 4 at 0.01 seconds.
% 0.67/1.06
% 0.67/1.06 ---------------- PROOF ----------------
% 0.67/1.06 % SZS output start Refutation
% See solution above
% 0.67/1.06 ------------ end of proof -------------
% 0.67/1.06
% 0.67/1.06
% 0.67/1.06 ------------- memory usage ------------
% 0.67/1.06 Memory dynamically allocated (tp_alloc): 488.
% 0.67/1.06 type (bytes each) gets frees in use avail bytes
% 0.67/1.06 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.67/1.06 term ( 16) 7037 3658 3379 20 65.8 K
% 0.67/1.06 gen_ptr ( 8) 15298 289 15009 7 117.3 K
% 0.67/1.06 context ( 808) 5324 5322 2 3 3.9 K
% 0.67/1.06 trail ( 12) 923 923 0 6 0.1 K
% 0.67/1.06 bt_node ( 68) 1277 1272 5 7 0.8 K
% 0.67/1.06 ac_position (285432) 0 0 0 0 0.0 K
% 0.67/1.06 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.67/1.06 ac_match_free_vars_pos (4020)
% 0.67/1.06 0 0 0 0 0.0 K
% 0.67/1.06 discrim ( 12) 2440 0 2440 0 28.6 K
% 0.67/1.06 flat ( 40) 18241 18241 0 41 1.6 K
% 0.67/1.06 discrim_pos ( 12) 83 83 0 1 0.0 K
% 0.67/1.06 fpa_head ( 12) 725 0 725 0 8.5 K
% 0.67/1.06 fpa_tree ( 28) 2113 2113 0 43 1.2 K
% 0.67/1.06 fpa_pos ( 36) 159 159 0 1 0.0 K
% 0.67/1.06 literal ( 12) 433 290 143 1 1.7 K
% 0.67/1.06 clause ( 24) 433 290 143 1 3.4 K
% 0.67/1.06 list ( 12) 75 19 56 3 0.7 K
% 0.67/1.06 list_pos ( 20) 445 3 442 0 8.6 K
% 0.67/1.06 pair_index ( 40) 2 0 2 0 0.1 K
% 0.67/1.06
% 0.67/1.06 -------------- statistics -------------
% 0.67/1.06 Clauses input 3
% 0.67/1.06 Usable input 0
% 0.67/1.06 Sos input 3
% 0.67/1.06 Demodulators input 0
% 0.67/1.06 Passive input 0
% 0.67/1.06
% 0.67/1.06 Processed BS (before search) 5
% 0.67/1.06 Forward subsumed BS 1
% 0.67/1.06 Kept BS 4
% 0.67/1.06 New demodulators BS 1
% 0.67/1.06 Back demodulated BS 0
% 0.67/1.06
% 0.67/1.06 Clauses or pairs given 130
% 0.67/1.06 Clauses generated 226
% 0.67/1.06 Forward subsumed 87
% 0.67/1.06 Deleted by weight 0
% 0.67/1.06 Deleted by variable count 0
% 0.67/1.06 Kept 139
% 0.67/1.06 New demodulators 15
% 0.67/1.06 Back demodulated 0
% 0.67/1.06 Ordered paramod prunes 0
% 0.67/1.06 Basic paramod prunes 115
% 0.67/1.06 Prime paramod prunes 0
% 0.67/1.06 Semantic prunes 0
% 0.67/1.06
% 0.67/1.06 Rewrite attmepts 3621
% 0.67/1.06 Rewrites 13
% 0.67/1.06
% 0.67/1.06 FPA overloads 0
% 0.67/1.06 FPA underloads 0
% 0.67/1.06
% 0.67/1.06 Usable size 0
% 0.67/1.06 Sos size 142
% 0.67/1.06 Demodulators size 16
% 0.67/1.06 Passive size 0
% 0.67/1.06 Disabled size 0
% 0.67/1.06
% 0.67/1.06 Proofs found 1
% 0.67/1.06
% 0.67/1.06 ----------- times (seconds) ----------- Tue May 31 15:38:30 2022
% 0.67/1.06
% 0.67/1.06 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.67/1.06 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.67/1.06 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.67/1.06 input time 0.00
% 0.67/1.06 paramodulation time 0.00
% 0.67/1.06 demodulation time 0.00
% 0.67/1.06 orient time 0.00
% 0.67/1.06 weigh time 0.00
% 0.67/1.06 forward subsume time 0.00
% 0.67/1.06 back demod find time 0.00
% 0.67/1.06 conflict time 0.00
% 0.67/1.06 LRPO time 0.00
% 0.67/1.06 store clause time 0.00
% 0.67/1.06 disable clause time 0.00
% 0.67/1.06 prime paramod time 0.00
% 0.67/1.06 semantics time 0.00
% 0.67/1.06
% 0.67/1.06 EQP interrupted
%------------------------------------------------------------------------------