TSTP Solution File: COL070-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 00:23:21 EDT 2022
% Result : Unsatisfiable 0.47s 0.87s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 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 : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(n1,A),B),C),apply(apply(apply(A,B),B),C)),
file('COL070-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(apply(A,B),B),C),apply(apply(apply(n1,A),B),C)),
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('COL070-1.p',unknown),
[] ).
cnf(4,plain,
~ equal(apply(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(apply(apply(A,apply(B,B)),C),apply(apply(apply(n1,apply(b,A)),B),C)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(88,plain,
equal(apply(A,apply(apply(B,B),C)),apply(apply(apply(n1,apply(b,apply(b,A))),B),C)),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(89,plain,
$false,
inference(conflict,[status(thm)],[88,4]),
[iquote('conflict(88,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.10 % Command : tptp2X_and_run_eqp %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Tue May 31 12:39:58 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.47/0.87 ----- EQP 0.9e, May 2009 -----
% 0.47/0.87 The job began on n032.cluster.edu, Tue May 31 12:39:59 2022
% 0.47/0.87 The command was "./eqp09e".
% 0.47/0.87
% 0.47/0.87 set(prolog_style_variables).
% 0.47/0.87 set(lrpo).
% 0.47/0.87 set(basic_paramod).
% 0.47/0.87 set(functional_subsume).
% 0.47/0.87 set(ordered_paramod).
% 0.47/0.87 set(prime_paramod).
% 0.47/0.87 set(para_pairs).
% 0.47/0.87 assign(pick_given_ratio,4).
% 0.47/0.87 clear(print_kept).
% 0.47/0.87 clear(print_new_demod).
% 0.47/0.87 clear(print_back_demod).
% 0.47/0.87 clear(print_given).
% 0.47/0.87 assign(max_mem,64000).
% 0.47/0.87 end_of_commands.
% 0.47/0.87
% 0.47/0.87 Usable:
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Sos:
% 0.47/0.87 0 (wt=-1) [] apply(apply(apply(n1,A),B),C) = apply(apply(apply(A,B),B),C).
% 0.47/0.87 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.47/0.87 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Demodulators:
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Passive:
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Starting to process input.
% 0.47/0.87
% 0.47/0.87 ** KEPT: 1 (wt=15) [] apply(apply(apply(n1,A),B),C) = apply(apply(apply(A,B),B),C).
% 0.47/0.87
% 0.47/0.87 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(apply(A,B),B),C) = apply(apply(apply(n1,A),B),C).
% 0.47/0.87 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(n1,A),B),C) = apply(apply(apply(A,B),B),C).
% 0.47/0.87
% 0.47/0.87 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.47/0.87 3 is a new demodulator.
% 0.47/0.87
% 0.47/0.87 ** KEPT: 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.47/0.87 ---------------- PROOF FOUND ----------------
% 0.47/0.87 % SZS status Unsatisfiable
% 0.47/0.87
% 0.47/0.87
% 0.47/0.87 After processing input:
% 0.47/0.87
% 0.47/0.87 Usable:
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Sos:
% 0.47/0.87 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.47/0.87 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.47/0.87 1 (wt=15) [] apply(apply(apply(n1,A),B),C) = apply(apply(apply(A,B),B),C).
% 0.47/0.87 2 (wt=15) [flip(1)] apply(apply(apply(A,B),B),C) = apply(apply(apply(n1,A),B),C).
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Demodulators:
% 0.47/0.87 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 Passive:
% 0.47/0.87 end_of_list.
% 0.47/0.87
% 0.47/0.87 UNIT CONFLICT from 88 and 4 at 0.01 seconds.
% 0.47/0.87
% 0.47/0.87 ---------------- PROOF ----------------
% 0.47/0.87 % SZS output start Refutation
% See solution above
% 0.47/0.87 ------------ end of proof -------------
% 0.47/0.87
% 0.47/0.87
% 0.47/0.87 ------------- memory usage ------------
% 0.47/0.87 Memory dynamically allocated (tp_alloc): 488.
% 0.47/0.87 type (bytes each) gets frees in use avail bytes
% 0.47/0.87 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.47/0.87 term ( 16) 5426 3272 2154 20 42.1 K
% 0.47/0.87 gen_ptr ( 8) 10235 256 9979 6 78.0 K
% 0.47/0.87 context ( 808) 3859 3857 2 3 3.9 K
% 0.47/0.87 trail ( 12) 51 51 0 4 0.0 K
% 0.47/0.87 bt_node ( 68) 1127 1122 5 6 0.7 K
% 0.47/0.87 ac_position (285432) 0 0 0 0 0.0 K
% 0.47/0.87 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.47/0.87 ac_match_free_vars_pos (4020)
% 0.47/0.87 0 0 0 0 0.0 K
% 0.47/0.87 discrim ( 12) 1566 0 1566 0 18.4 K
% 0.47/0.87 flat ( 40) 14046 14046 0 35 1.4 K
% 0.47/0.87 discrim_pos ( 12) 75 75 0 1 0.0 K
% 0.47/0.87 fpa_head ( 12) 525 0 525 0 6.2 K
% 0.47/0.87 fpa_tree ( 28) 93 93 0 15 0.4 K
% 0.47/0.87 fpa_pos ( 36) 106 106 0 1 0.0 K
% 0.47/0.87 literal ( 12) 450 362 88 1 1.0 K
% 0.47/0.87 clause ( 24) 450 362 88 1 2.1 K
% 0.47/0.87 list ( 12) 77 21 56 3 0.7 K
% 0.47/0.87 list_pos ( 20) 282 3 279 0 5.4 K
% 0.47/0.87 pair_index ( 40) 2 0 2 0 0.1 K
% 0.47/0.87
% 0.47/0.87 -------------- statistics -------------
% 0.47/0.87 Clauses input 3
% 0.47/0.87 Usable input 0
% 0.47/0.87 Sos input 3
% 0.47/0.87 Demodulators input 0
% 0.47/0.87 Passive input 0
% 0.47/0.87
% 0.47/0.87 Processed BS (before search) 5
% 0.47/0.87 Forward subsumed BS 1
% 0.47/0.87 Kept BS 4
% 0.47/0.87 New demodulators BS 1
% 0.47/0.87 Back demodulated BS 0
% 0.47/0.87
% 0.47/0.87 Clauses or pairs given 78
% 0.47/0.87 Clauses generated 148
% 0.47/0.87 Forward subsumed 64
% 0.47/0.87 Deleted by weight 0
% 0.47/0.87 Deleted by variable count 0
% 0.47/0.87 Kept 84
% 0.47/0.87 New demodulators 17
% 0.47/0.87 Back demodulated 0
% 0.47/0.87 Ordered paramod prunes 0
% 0.47/0.87 Basic paramod prunes 55
% 0.47/0.87 Prime paramod prunes 0
% 0.47/0.87 Semantic prunes 0
% 0.47/0.87
% 0.47/0.87 Rewrite attmepts 2437
% 0.47/0.87 Rewrites 33
% 0.47/0.87
% 0.47/0.87 FPA overloads 0
% 0.47/0.87 FPA underloads 0
% 0.47/0.87
% 0.47/0.87 Usable size 0
% 0.47/0.87 Sos size 87
% 0.47/0.87 Demodulators size 18
% 0.47/0.87 Passive size 0
% 0.47/0.87 Disabled size 0
% 0.47/0.87
% 0.47/0.87 Proofs found 1
% 0.47/0.87
% 0.47/0.87 ----------- times (seconds) ----------- Tue May 31 12:39:59 2022
% 0.47/0.87
% 0.47/0.87 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.47/0.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.47/0.87 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.47/0.87 input time 0.00
% 0.47/0.87 paramodulation time 0.00
% 0.47/0.87 demodulation time 0.00
% 0.47/0.87 orient time 0.00
% 0.47/0.87 weigh time 0.00
% 0.47/0.87 forward subsume time 0.00
% 0.47/0.87 back demod find time 0.00
% 0.47/0.87 conflict time 0.00
% 0.47/0.87 LRPO time 0.00
% 0.47/0.87 store clause time 0.00
% 0.47/0.87 disable clause time 0.00
% 0.47/0.87 prime paramod time 0.00
% 0.47/0.87 semantics time 0.00
% 0.47/0.87
% 0.47/0.87 EQP interrupted
%------------------------------------------------------------------------------