TSTP Solution File: COL026-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 0.76s 1.14s
% Output : Refutation 0.76s
% 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 : 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL026-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w1,A),B),apply(apply(B,A),A)),
file('COL026-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(A,B),B),apply(apply(w1,B),A)),
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(12,plain,
equal(apply(apply(A,apply(B,C)),C),apply(apply(w1,C),apply(apply(b,A),B))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(100,plain,
equal(apply(apply(w1,A),apply(apply(b,apply(b,B)),C)),apply(B,apply(apply(C,A),A))),
inference(para,[status(thm),theory(equality)],[12,1]),
[iquote('para(12,1)')] ).
cnf(101,plain,
equal(apply(A,apply(apply(B,C),C)),apply(apply(w1,C),apply(apply(b,apply(b,A)),B))),
inference(flip,[status(thm),theory(equality)],[100]),
[iquote('flip(100)')] ).
cnf(102,plain,
$false,
inference(conflict,[status(thm)],[101,4]),
[iquote('conflict(101,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n025.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 13:30:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.76/1.14 ----- EQP 0.9e, May 2009 -----
% 0.76/1.14 The job began on n025.cluster.edu, Tue May 31 13:30:14 2022
% 0.76/1.14 The command was "./eqp09e".
% 0.76/1.14
% 0.76/1.14 set(prolog_style_variables).
% 0.76/1.14 set(lrpo).
% 0.76/1.14 set(basic_paramod).
% 0.76/1.14 set(functional_subsume).
% 0.76/1.14 set(ordered_paramod).
% 0.76/1.14 set(prime_paramod).
% 0.76/1.14 set(para_pairs).
% 0.76/1.14 assign(pick_given_ratio,4).
% 0.76/1.14 clear(print_kept).
% 0.76/1.14 clear(print_new_demod).
% 0.76/1.14 clear(print_back_demod).
% 0.76/1.14 clear(print_given).
% 0.76/1.14 assign(max_mem,64000).
% 0.76/1.14 end_of_commands.
% 0.76/1.14
% 0.76/1.14 Usable:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Sos:
% 0.76/1.14 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.76/1.14 0 (wt=-1) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.76/1.14 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Demodulators:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Passive:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Starting to process input.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.76/1.14 1 is a new demodulator.
% 0.76/1.14
% 0.76/1.14 ** KEPT: 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.76/1.14
% 0.76/1.14 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.76/1.14 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w1,B),A) = apply(apply(A,B),B).
% 0.76/1.14
% 0.76/1.14 ** KEPT: 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.76/1.14 ---------------- PROOF FOUND ----------------
% 0.76/1.14 % SZS status Unsatisfiable
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 After processing input:
% 0.76/1.14
% 0.76/1.14 Usable:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Sos:
% 0.76/1.14 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.76/1.14 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.76/1.14 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.76/1.14 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Demodulators:
% 0.76/1.14 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 Passive:
% 0.76/1.14 end_of_list.
% 0.76/1.14
% 0.76/1.14 UNIT CONFLICT from 101 and 4 at 0.01 seconds.
% 0.76/1.14
% 0.76/1.14 ---------------- PROOF ----------------
% 0.76/1.14 % SZS output start Refutation
% See solution above
% 0.76/1.14 ------------ end of proof -------------
% 0.76/1.14
% 0.76/1.14
% 0.76/1.14 ------------- memory usage ------------
% 0.76/1.14 Memory dynamically allocated (tp_alloc): 488.
% 0.76/1.14 type (bytes each) gets frees in use avail bytes
% 0.76/1.14 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.76/1.14 term ( 16) 4929 3024 1905 20 37.2 K
% 0.76/1.14 gen_ptr ( 8) 7574 394 7180 7 56.1 K
% 0.76/1.14 context ( 808) 4303 4301 2 2 3.2 K
% 0.76/1.14 trail ( 12) 360 360 0 5 0.1 K
% 0.76/1.14 bt_node ( 68) 1543 1538 5 3 0.5 K
% 0.76/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.76/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.76/1.14 ac_match_free_vars_pos (4020)
% 0.76/1.14 0 0 0 0 0.0 K
% 0.76/1.14 discrim ( 12) 1423 21 1402 0 16.4 K
% 0.76/1.14 flat ( 40) 10244 10244 0 27 1.1 K
% 0.76/1.14 discrim_pos ( 12) 93 93 0 1 0.0 K
% 0.76/1.14 fpa_head ( 12) 324 0 324 0 3.8 K
% 0.76/1.14 fpa_tree ( 28) 1477 1477 0 49 1.3 K
% 0.76/1.14 fpa_pos ( 36) 133 133 0 1 0.0 K
% 0.76/1.14 literal ( 12) 337 236 101 1 1.2 K
% 0.76/1.14 clause ( 24) 337 236 101 1 2.4 K
% 0.76/1.14 list ( 12) 91 35 56 3 0.7 K
% 0.76/1.14 list_pos ( 20) 337 8 329 0 6.4 K
% 0.76/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.76/1.14
% 0.76/1.14 -------------- statistics -------------
% 0.76/1.14 Clauses input 3
% 0.76/1.14 Usable input 0
% 0.76/1.14 Sos input 3
% 0.76/1.14 Demodulators input 0
% 0.76/1.14 Passive input 0
% 0.76/1.14
% 0.76/1.14 Processed BS (before search) 5
% 0.76/1.14 Forward subsumed BS 1
% 0.76/1.14 Kept BS 4
% 0.76/1.14 New demodulators BS 1
% 0.76/1.14 Back demodulated BS 0
% 0.76/1.14
% 0.76/1.14 Clauses or pairs given 165
% 0.76/1.14 Clauses generated 181
% 0.76/1.14 Forward subsumed 84
% 0.76/1.14 Deleted by weight 0
% 0.76/1.14 Deleted by variable count 0
% 0.76/1.14 Kept 97
% 0.76/1.14 New demodulators 31
% 0.76/1.14 Back demodulated 1
% 0.76/1.14 Ordered paramod prunes 0
% 0.76/1.14 Basic paramod prunes 174
% 0.76/1.14 Prime paramod prunes 1
% 0.76/1.14 Semantic prunes 0
% 0.76/1.14
% 0.76/1.14 Rewrite attmepts 2516
% 0.76/1.14 Rewrites 37
% 0.76/1.14
% 0.76/1.14 FPA overloads 0
% 0.76/1.14 FPA underloads 0
% 0.76/1.14
% 0.76/1.14 Usable size 0
% 0.76/1.14 Sos size 99
% 0.76/1.14 Demodulators size 31
% 0.76/1.14 Passive size 0
% 0.76/1.14 Disabled size 1
% 0.76/1.14
% 0.76/1.14 Proofs found 1
% 0.76/1.14
% 0.76/1.14 ----------- times (seconds) ----------- Tue May 31 13:30:14 2022
% 0.76/1.14
% 0.76/1.14 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.76/1.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.76/1.14 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.76/1.14 input time 0.00
% 0.76/1.14 paramodulation time 0.00
% 0.76/1.14 demodulation time 0.00
% 0.76/1.14 orient time 0.00
% 0.76/1.14 weigh time 0.00
% 0.76/1.14 forward subsume time 0.00
% 0.76/1.14 back demod find time 0.00
% 0.76/1.14 conflict time 0.00
% 0.76/1.14 LRPO time 0.00
% 0.76/1.14 store clause time 0.00
% 0.76/1.14 disable clause time 0.00
% 0.76/1.14 prime paramod time 0.00
% 0.76/1.14 semantics time 0.00
% 0.76/1.14
% 0.76/1.14 EQP interrupted
%------------------------------------------------------------------------------