TSTP Solution File: COL021-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.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 00:23:12 EDT 2022
% Result : Unsatisfiable 0.41s 0.98s
% Output : Refutation 0.41s
% 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 : 5 ( 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL021-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(m,A),apply(A,A)),
file('COL021-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(A,A),apply(m,A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(6,plain,
~ equal(apply(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
equal(apply(m,apply(apply(b,A),B)),apply(A,apply(B,apply(apply(b,A),B)))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(11,plain,
equal(apply(A,apply(B,apply(apply(b,A),B))),apply(m,apply(apply(b,A),B))),
inference(flip,[status(thm),theory(equality)],[10]),
[iquote('flip(10)')] ).
cnf(12,plain,
$false,
inference(conflict,[status(thm)],[11,6]),
[iquote('conflict(11,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n018.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
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 600
% 0.17/0.33 % DateTime : Tue May 31 06:40:28 EDT 2022
% 0.17/0.33 % CPUTime :
% 0.41/0.98 ----- EQP 0.9e, May 2009 -----
% 0.41/0.98 The job began on n018.cluster.edu, Tue May 31 06:40:28 2022
% 0.41/0.98 The command was "./eqp09e".
% 0.41/0.98
% 0.41/0.98 set(prolog_style_variables).
% 0.41/0.98 set(lrpo).
% 0.41/0.98 set(basic_paramod).
% 0.41/0.98 set(functional_subsume).
% 0.41/0.98 set(ordered_paramod).
% 0.41/0.98 set(prime_paramod).
% 0.41/0.98 set(para_pairs).
% 0.41/0.98 assign(pick_given_ratio,4).
% 0.41/0.98 clear(print_kept).
% 0.41/0.98 clear(print_new_demod).
% 0.41/0.98 clear(print_back_demod).
% 0.41/0.98 clear(print_given).
% 0.41/0.98 assign(max_mem,64000).
% 0.41/0.98 end_of_commands.
% 0.41/0.98
% 0.41/0.98 Usable:
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Sos:
% 0.41/0.98 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/0.98 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.41/0.98 0 (wt=-1) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.41/0.98 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Demodulators:
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Passive:
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Starting to process input.
% 0.41/0.98
% 0.41/0.98 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/0.98 1 is a new demodulator.
% 0.41/0.98
% 0.41/0.98 ** KEPT: 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.41/0.98
% 0.41/0.98 ** KEPT: 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.41/0.98 clause forward subsumed: 0 (wt=7) [flip(3)] apply(m,A) = apply(A,A).
% 0.41/0.98
% 0.41/0.98 ** KEPT: 4 (wt=13) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.41/0.98
% 0.41/0.98 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(v,B),C),A).
% 0.41/0.98 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(v,B),C),A) = apply(apply(A,B),C).
% 0.41/0.98
% 0.41/0.98 ** KEPT: 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.41/0.98 ---------------- PROOF FOUND ----------------
% 0.41/0.98 % SZS status Unsatisfiable
% 0.41/0.98
% 0.41/0.98
% 0.41/0.98 After processing input:
% 0.41/0.98
% 0.41/0.98 Usable:
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Sos:
% 0.41/0.98 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.41/0.98 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.41/0.98 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.41/0.98 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/0.98 4 (wt=13) [] apply(apply(apply(v,A),B),C) = apply(apply(C,A),B).
% 0.41/0.98 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(v,B),C),A).
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Demodulators:
% 0.41/0.98 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 Passive:
% 0.41/0.98 end_of_list.
% 0.41/0.98
% 0.41/0.98 UNIT CONFLICT from 11 and 6 at 0.00 seconds.
% 0.41/0.98
% 0.41/0.98 ---------------- PROOF ----------------
% 0.41/0.98 % SZS output start Refutation
% See solution above
% 0.41/0.98 ------------ end of proof -------------
% 0.41/0.98
% 0.41/0.98
% 0.41/0.98 ------------- memory usage ------------
% 0.41/0.98 Memory dynamically allocated (tp_alloc): 488.
% 0.41/0.98 type (bytes each) gets frees in use avail bytes
% 0.41/0.98 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.41/0.98 term ( 16) 658 529 129 18 2.8 K
% 0.41/0.98 gen_ptr ( 8) 418 69 349 6 2.8 K
% 0.41/0.98 context ( 808) 233 231 2 2 3.2 K
% 0.41/0.98 trail ( 12) 12 12 0 3 0.0 K
% 0.41/0.98 bt_node ( 68) 78 75 3 4 0.5 K
% 0.41/0.98 ac_position (285432) 0 0 0 0 0.0 K
% 0.41/0.98 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.41/0.98 ac_match_free_vars_pos (4020)
% 0.41/0.98 0 0 0 0 0.0 K
% 0.41/0.98 discrim ( 12) 104 0 104 0 1.2 K
% 0.41/0.98 flat ( 40) 381 381 0 13 0.5 K
% 0.41/0.98 discrim_pos ( 12) 2 2 0 1 0.0 K
% 0.41/0.98 fpa_head ( 12) 94 0 94 0 1.1 K
% 0.41/0.98 fpa_tree ( 28) 21 21 0 5 0.1 K
% 0.41/0.98 fpa_pos ( 36) 14 14 0 1 0.0 K
% 0.41/0.98 literal ( 12) 30 19 11 1 0.1 K
% 0.41/0.98 clause ( 24) 30 19 11 1 0.3 K
% 0.41/0.98 list ( 12) 62 6 56 3 0.7 K
% 0.41/0.98 list_pos ( 20) 37 4 33 0 0.6 K
% 0.41/0.98 pair_index ( 40) 2 0 2 0 0.1 K
% 0.41/0.98
% 0.41/0.98 -------------- statistics -------------
% 0.41/0.98 Clauses input 4
% 0.41/0.98 Usable input 0
% 0.41/0.98 Sos input 4
% 0.41/0.98 Demodulators input 0
% 0.41/0.98 Passive input 0
% 0.41/0.98
% 0.41/0.98 Processed BS (before search) 8
% 0.41/0.98 Forward subsumed BS 2
% 0.41/0.98 Kept BS 6
% 0.41/0.98 New demodulators BS 1
% 0.41/0.98 Back demodulated BS 0
% 0.41/0.98
% 0.41/0.98 Clauses or pairs given 15
% 0.41/0.98 Clauses generated 9
% 0.41/0.98 Forward subsumed 4
% 0.41/0.98 Deleted by weight 0
% 0.41/0.98 Deleted by variable count 0
% 0.41/0.98 Kept 5
% 0.41/0.98 New demodulators 2
% 0.41/0.98 Back demodulated 0
% 0.41/0.98 Ordered paramod prunes 0
% 0.41/0.98 Basic paramod prunes 2
% 0.41/0.98 Prime paramod prunes 0
% 0.41/0.98 Semantic prunes 0
% 0.41/0.98
% 0.41/0.98 Rewrite attmepts 109
% 0.41/0.98 Rewrites 0
% 0.41/0.98
% 0.41/0.98 FPA overloads 0
% 0.41/0.98 FPA underloads 0
% 0.41/0.98
% 0.41/0.98 Usable size 0
% 0.41/0.98 Sos size 10
% 0.41/0.98 Demodulators size 3
% 0.41/0.98 Passive size 0
% 0.41/0.98 Disabled size 0
% 0.41/0.98
% 0.41/0.98 Proofs found 1
% 0.41/0.98
% 0.41/0.98 ----------- times (seconds) ----------- Tue May 31 06:40:28 2022
% 0.41/0.98
% 0.41/0.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/0.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/0.98 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.41/0.98 input time 0.00
% 0.41/0.98 paramodulation time 0.00
% 0.41/0.98 demodulation time 0.00
% 0.41/0.98 orient time 0.00
% 0.41/0.98 weigh time 0.00
% 0.41/0.98 forward subsume time 0.00
% 0.41/0.98 back demod find time 0.00
% 0.41/0.98 conflict time 0.00
% 0.41/0.98 LRPO time 0.00
% 0.41/0.98 store clause time 0.00
% 0.41/0.98 disable clause time 0.00
% 0.41/0.98 prime paramod time 0.00
% 0.41/0.98 semantics time 0.00
% 0.41/0.98
% 0.41/0.98 EQP interrupted
%------------------------------------------------------------------------------