TSTP Solution File: COL066-2 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 0.41s 1.04s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
equal(apply(apply(apply(q,A),B),C),apply(B,apply(A,C))),
file('COL066-2.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(w,A),B),apply(apply(A,B),B)),
file('COL066-2.p',unknown),
[] ).
cnf(5,plain,
~ equal(apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z),apply(apply(x,y),apply(apply(x,y),z))),
inference(demod,[status(thm),theory(equality)],[2]),
[iquote('demod([2])')] ).
cnf(41,plain,
~ equal(apply(apply(x,y),apply(apply(x,y),z)),apply(apply(x,y),apply(apply(x,y),z))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,5]),2,2,2,2,2]),
[iquote('para(3,5),demod([2,2,2,2,2])')] ).
cnf(42,plain,
$false,
inference(conflict,[status(thm)],[41]),
[iquote('xx_conflict(41)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n029.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 04:19:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.04 ----- EQP 0.9e, May 2009 -----
% 0.41/1.04 The job began on n029.cluster.edu, Tue May 31 04:19:45 2022
% 0.41/1.04 The command was "./eqp09e".
% 0.41/1.04
% 0.41/1.04 set(prolog_style_variables).
% 0.41/1.04 set(lrpo).
% 0.41/1.04 set(basic_paramod).
% 0.41/1.04 set(functional_subsume).
% 0.41/1.04 set(ordered_paramod).
% 0.41/1.04 set(prime_paramod).
% 0.41/1.04 set(para_pairs).
% 0.41/1.04 assign(pick_given_ratio,4).
% 0.41/1.04 clear(print_kept).
% 0.41/1.04 clear(print_new_demod).
% 0.41/1.04 clear(print_back_demod).
% 0.41/1.04 clear(print_given).
% 0.41/1.04 assign(max_mem,64000).
% 0.41/1.04 end_of_commands.
% 0.41/1.04
% 0.41/1.04 Usable:
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Sos:
% 0.41/1.04 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.04 0 (wt=-1) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.41/1.04 0 (wt=-1) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.41/1.04 0 (wt=-1) [] -(apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) = apply(apply(x,y),apply(apply(x,y),z))).
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Demodulators:
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Passive:
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Starting to process input.
% 0.41/1.04
% 0.41/1.04 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.04 1 is a new demodulator.
% 0.41/1.04
% 0.41/1.04 ** KEPT: 2 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.41/1.04 2 is a new demodulator.
% 0.41/1.04
% 0.41/1.04 ** KEPT: 3 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.41/1.04
% 0.41/1.04 ** KEPT: 4 (wt=11) [flip(3)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.41/1.04 clause forward subsumed: 0 (wt=11) [flip(4)] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.41/1.04
% 0.41/1.04 ** KEPT: 5 (wt=27) [demod([2])] -(apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z) = apply(apply(x,y),apply(apply(x,y),z))).
% 0.41/1.04 ---------------- PROOF FOUND ----------------
% 0.41/1.04 % SZS status Unsatisfiable
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 After processing input:
% 0.41/1.04
% 0.41/1.04 Usable:
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Sos:
% 0.41/1.04 3 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.41/1.04 4 (wt=11) [flip(3)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.41/1.04 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.04 2 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.41/1.04 5 (wt=27) [demod([2])] -(apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z) = apply(apply(x,y),apply(apply(x,y),z))).
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Demodulators:
% 0.41/1.04 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.04 2 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 Passive:
% 0.41/1.04 end_of_list.
% 0.41/1.04
% 0.41/1.04 UNIT CONFLICT from 41 and x=x at 0.00 seconds.
% 0.41/1.04
% 0.41/1.04 ---------------- PROOF ----------------
% 0.41/1.04 % SZS output start Refutation
% See solution above
% 0.41/1.04 ------------ end of proof -------------
% 0.41/1.04
% 0.41/1.04
% 0.41/1.04 ------------- memory usage ------------
% 0.41/1.04 Memory dynamically allocated (tp_alloc): 488.
% 0.41/1.04 type (bytes each) gets frees in use avail bytes
% 0.41/1.04 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.41/1.04 term ( 16) 2196 1535 661 28 13.3 K
% 0.41/1.04 gen_ptr ( 8) 2536 171 2365 4 18.5 K
% 0.41/1.04 context ( 808) 1459 1457 2 3 3.9 K
% 0.41/1.04 trail ( 12) 33 33 0 3 0.0 K
% 0.41/1.04 bt_node ( 68) 547 542 5 9 0.9 K
% 0.41/1.04 ac_position (285432) 0 0 0 0 0.0 K
% 0.41/1.04 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.41/1.04 ac_match_free_vars_pos (4020)
% 0.41/1.04 0 0 0 0 0.0 K
% 0.41/1.04 discrim ( 12) 517 0 517 0 6.1 K
% 0.41/1.04 flat ( 40) 3357 3357 0 21 0.8 K
% 0.41/1.04 discrim_pos ( 12) 32 32 0 1 0.0 K
% 0.41/1.04 fpa_head ( 12) 270 0 270 0 3.2 K
% 0.41/1.04 fpa_tree ( 28) 74 74 0 17 0.5 K
% 0.41/1.04 fpa_pos ( 36) 53 53 0 1 0.0 K
% 0.41/1.04 literal ( 12) 158 117 41 1 0.5 K
% 0.41/1.04 clause ( 24) 158 117 41 1 1.0 K
% 0.41/1.04 list ( 12) 72 16 56 3 0.7 K
% 0.41/1.04 list_pos ( 20) 137 4 133 0 2.6 K
% 0.41/1.04 pair_index ( 40) 2 0 2 0 0.1 K
% 0.41/1.04
% 0.41/1.04 -------------- statistics -------------
% 0.41/1.04 Clauses input 4
% 0.41/1.04 Usable input 0
% 0.41/1.04 Sos input 4
% 0.41/1.04 Demodulators input 0
% 0.41/1.04 Passive input 0
% 0.41/1.04
% 0.41/1.04 Processed BS (before search) 6
% 0.41/1.04 Forward subsumed BS 1
% 0.41/1.04 Kept BS 5
% 0.41/1.04 New demodulators BS 2
% 0.41/1.04 Back demodulated BS 0
% 0.41/1.04
% 0.41/1.04 Clauses or pairs given 30
% 0.41/1.04 Clauses generated 65
% 0.41/1.04 Forward subsumed 29
% 0.41/1.04 Deleted by weight 0
% 0.41/1.04 Deleted by variable count 0
% 0.41/1.04 Kept 36
% 0.41/1.04 New demodulators 11
% 0.41/1.04 Back demodulated 0
% 0.41/1.04 Ordered paramod prunes 0
% 0.41/1.04 Basic paramod prunes 16
% 0.41/1.04 Prime paramod prunes 0
% 0.41/1.04 Semantic prunes 0
% 0.41/1.04
% 0.41/1.04 Rewrite attmepts 798
% 0.41/1.04 Rewrites 15
% 0.41/1.04
% 0.41/1.04 FPA overloads 0
% 0.41/1.04 FPA underloads 0
% 0.41/1.04
% 0.41/1.04 Usable size 0
% 0.41/1.04 Sos size 40
% 0.41/1.04 Demodulators size 13
% 0.41/1.04 Passive size 0
% 0.41/1.04 Disabled size 0
% 0.41/1.04
% 0.41/1.04 Proofs found 1
% 0.41/1.04
% 0.41/1.04 ----------- times (seconds) ----------- Tue May 31 04:19:45 2022
% 0.41/1.04
% 0.41/1.04 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.04 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.04 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.41/1.04 input time 0.00
% 0.41/1.04 paramodulation time 0.00
% 0.41/1.04 demodulation time 0.00
% 0.41/1.04 orient time 0.00
% 0.41/1.04 weigh time 0.00
% 0.41/1.04 forward subsume time 0.00
% 0.41/1.04 back demod find time 0.00
% 0.41/1.04 conflict time 0.00
% 0.41/1.04 LRPO time 0.00
% 0.41/1.04 store clause time 0.00
% 0.41/1.04 disable clause time 0.00
% 0.41/1.04 prime paramod time 0.00
% 0.41/1.04 semantics time 0.00
% 0.41/1.04
% 0.41/1.04 EQP interrupted
%------------------------------------------------------------------------------