TSTP Solution File: COL013-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 00:23:11 EDT 2022
% Result : Unsatisfiable 0.43s 1.10s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL013-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(l,A),B),apply(A,apply(B,B))),
file('COL013-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(A,apply(B,B)),apply(apply(l,A),B)),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(5,plain,
~ equal(apply(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(6,plain,
$false,
inference(conflict,[status(thm)],[5,4]),
[iquote('conflict(5,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 14:47:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.10 ----- EQP 0.9e, May 2009 -----
% 0.43/1.10 The job began on n023.cluster.edu, Tue May 31 14:47:57 2022
% 0.43/1.10 The command was "./eqp09e".
% 0.43/1.10
% 0.43/1.10 set(prolog_style_variables).
% 0.43/1.10 set(lrpo).
% 0.43/1.10 set(basic_paramod).
% 0.43/1.10 set(functional_subsume).
% 0.43/1.10 set(ordered_paramod).
% 0.43/1.10 set(prime_paramod).
% 0.43/1.10 set(para_pairs).
% 0.43/1.10 assign(pick_given_ratio,4).
% 0.43/1.10 clear(print_kept).
% 0.43/1.10 clear(print_new_demod).
% 0.43/1.10 clear(print_back_demod).
% 0.43/1.10 clear(print_given).
% 0.43/1.10 assign(max_mem,64000).
% 0.43/1.10 end_of_commands.
% 0.43/1.10
% 0.43/1.10 Usable:
% 0.43/1.10 end_of_list.
% 0.43/1.10
% 0.43/1.10 Sos:
% 0.43/1.10 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.43/1.10 0 (wt=-1) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.43/1.10 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.43/1.10 end_of_list.
% 0.43/1.10
% 0.43/1.10 Demodulators:
% 0.43/1.10 end_of_list.
% 0.43/1.10
% 0.43/1.10 Passive:
% 0.43/1.10 end_of_list.
% 0.43/1.10
% 0.43/1.10 Starting to process input.
% 0.43/1.10
% 0.43/1.10 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.43/1.10
% 0.43/1.10 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.43/1.10 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.43/1.10
% 0.43/1.10 ** KEPT: 3 (wt=11) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.43/1.10
% 0.43/1.10 ** KEPT: 4 (wt=11) [flip(3)] apply(A,apply(B,B)) = apply(apply(l,A),B).
% 0.43/1.10 clause forward subsumed: 0 (wt=11) [flip(4)] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.43/1.10
% 0.43/1.10 ** KEPT: 5 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.43/1.10 ---------------- PROOF FOUND ----------------
% 0.43/1.10 % SZS status Unsatisfiable
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 UNIT CONFLICT from 5 and 4 at 0.00 seconds.
% 0.43/1.10
% 0.43/1.10 ---------------- PROOF ----------------
% 0.43/1.10 % SZS output start Refutation
% See solution above
% 0.43/1.10 ------------ end of proof -------------
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 ------------- memory usage ------------
% 0.43/1.10 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.10 type (bytes each) gets frees in use avail bytes
% 0.43/1.10 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.43/1.10 term ( 16) 403 342 61 23 1.6 K
% 0.43/1.10 gen_ptr ( 8) 209 50 159 4 1.3 K
% 0.43/1.10 context ( 808) 64 64 0 2 1.6 K
% 0.43/1.10 trail ( 12) 3 3 0 3 0.0 K
% 0.43/1.10 bt_node ( 68) 1 1 0 1 0.1 K
% 0.43/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.10 ac_match_free_vars_pos (4020)
% 0.43/1.10 0 0 0 0 0.0 K
% 0.43/1.10 discrim ( 12) 47 0 47 0 0.6 K
% 0.43/1.10 flat ( 40) 45 45 0 15 0.6 K
% 0.43/1.10 discrim_pos ( 12) 2 2 0 1 0.0 K
% 0.43/1.10 fpa_head ( 12) 45 0 45 0 0.5 K
% 0.43/1.10 fpa_tree ( 28) 1 1 0 1 0.0 K
% 0.43/1.10 fpa_pos ( 36) 5 5 0 1 0.0 K
% 0.43/1.10 literal ( 12) 13 8 5 2 0.1 K
% 0.43/1.10 clause ( 24) 13 8 5 2 0.2 K
% 0.43/1.10 list ( 12) 59 1 58 1 0.7 K
% 0.43/1.10 list_pos ( 20) 15 3 12 1 0.3 K
% 0.43/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.10
% 0.43/1.10 -------------- statistics -------------
% 0.43/1.10 Clauses input 3
% 0.43/1.10 Usable input 0
% 0.43/1.10 Sos input 3
% 0.43/1.10 Demodulators input 0
% 0.43/1.10 Passive input 0
% 0.43/1.10
% 0.43/1.10 Processed BS (before search) 7
% 0.43/1.10 Forward subsumed BS 2
% 0.43/1.10 Kept BS 5
% 0.43/1.10 New demodulators BS 0
% 0.43/1.10 Back demodulated BS 0
% 0.43/1.10
% 0.43/1.10 Clauses or pairs given 0
% 0.43/1.10 Clauses generated 0
% 0.43/1.10 Forward subsumed 0
% 0.43/1.10 Deleted by weight 0
% 0.43/1.10 Deleted by variable count 0
% 0.43/1.10 Kept 0
% 0.43/1.10 New demodulators 0
% 0.43/1.10 Back demodulated 0
% 0.43/1.10 Ordered paramod prunes 0
% 0.43/1.10 Basic paramod prunes 0
% 0.43/1.10 Prime paramod prunes 0
% 0.43/1.10 Semantic prunes 0
% 0.43/1.10
% 0.43/1.10 Rewrite attmepts 45
% 0.43/1.10 Rewrites 0
% 0.43/1.10
% 0.43/1.10 FPA overloads 0
% 0.43/1.10 FPA underloads 0
% 0.43/1.10
% 0.43/1.10 Usable size 0
% 0.43/1.10 Sos size 4
% 0.43/1.10 Demodulators size 0
% 0.43/1.10 Passive size 0
% 0.43/1.10 Disabled size 0
% 0.43/1.10
% 0.43/1.10 Proofs found 1
% 0.43/1.10
% 0.43/1.10 ----------- times (seconds) ----------- Tue May 31 14:47:57 2022
% 0.43/1.10
% 0.43/1.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.10 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.10 input time 0.00
% 0.43/1.10 paramodulation time 0.00
% 0.43/1.10 demodulation time 0.00
% 0.43/1.10 orient time 0.00
% 0.43/1.10 weigh time 0.00
% 0.43/1.10 forward subsume time 0.00
% 0.43/1.10 back demod find time 0.00
% 0.43/1.10 conflict time 0.00
% 0.43/1.10 LRPO time 0.00
% 0.43/1.10 store clause time 0.00
% 0.43/1.10 disable clause time 0.00
% 0.43/1.10 prime paramod time 0.00
% 0.43/1.10 semantics time 0.00
% 0.43/1.10
% 0.43/1.10 EQP interrupted
%------------------------------------------------------------------------------