TSTP Solution File: COL061-3 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL061-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n022.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 00:23:19 EDT 2022
% Result : Unsatisfiable 0.74s 1.10s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 0 equ; 3 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 : 6 ( 6 usr; 5 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('COL061-3.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(t,A),B),apply(B,A)),
file('COL061-3.p',unknown),
[] ).
cnf(3,plain,
equal(apply(A,B),apply(apply(t,B),A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z),apply(x,apply(z,y))),
inference(demod,[status(thm),theory(equality)],[1,1]),
[iquote('demod([1,1])')] ).
cnf(16,plain,
equal(apply(apply(apply(t,A),apply(b,B)),C),apply(B,apply(A,C))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(17,plain,
~ equal(apply(x,apply(apply(t,y),z)),apply(x,apply(z,y))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),16,1]),
[iquote('back_demod(4),demod([16,1])')] ).
cnf(26,plain,
~ equal(apply(x,apply(z,y)),apply(x,apply(z,y))),
inference(para,[status(thm),theory(equality)],[2,17]),
[iquote('para(2,17)')] ).
cnf(27,plain,
$false,
inference(conflict,[status(thm)],[26]),
[iquote('xx_conflict(26)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL061-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.08/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 10:30:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.74/1.10 ----- EQP 0.9e, May 2009 -----
% 0.74/1.10 The job began on n022.cluster.edu, Tue May 31 10:30:23 2022
% 0.74/1.10 The command was "./eqp09e".
% 0.74/1.10
% 0.74/1.10 set(prolog_style_variables).
% 0.74/1.10 set(lrpo).
% 0.74/1.10 set(basic_paramod).
% 0.74/1.10 set(functional_subsume).
% 0.74/1.10 set(ordered_paramod).
% 0.74/1.10 set(prime_paramod).
% 0.74/1.10 set(para_pairs).
% 0.74/1.10 assign(pick_given_ratio,4).
% 0.74/1.10 clear(print_kept).
% 0.74/1.10 clear(print_new_demod).
% 0.74/1.10 clear(print_back_demod).
% 0.74/1.10 clear(print_given).
% 0.74/1.10 assign(max_mem,64000).
% 0.74/1.10 end_of_commands.
% 0.74/1.10
% 0.74/1.10 Usable:
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Sos:
% 0.74/1.10 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.10 0 (wt=-1) [] apply(apply(t,A),B) = apply(B,A).
% 0.74/1.10 0 (wt=-1) [] -(apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),b),x),y),z) = apply(x,apply(z,y))).
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Demodulators:
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Passive:
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Starting to process input.
% 0.74/1.10
% 0.74/1.10 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.10 1 is a new demodulator.
% 0.74/1.10
% 0.74/1.10 ** KEPT: 2 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.74/1.10
% 0.74/1.10 ** KEPT: 3 (wt=9) [flip(2)] apply(A,B) = apply(apply(t,B),A).
% 0.74/1.10 clause forward subsumed: 0 (wt=9) [flip(3)] apply(apply(t,B),A) = apply(A,B).
% 0.74/1.10
% 0.74/1.10 ** KEPT: 4 (wt=19) [demod([1,1])] -(apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z) = apply(x,apply(z,y))).
% 0.74/1.10 ---------------- PROOF FOUND ----------------
% 0.74/1.10 % SZS status Unsatisfiable
% 0.74/1.10
% 0.74/1.10
% 0.74/1.10 After processing input:
% 0.74/1.10
% 0.74/1.10 Usable:
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Sos:
% 0.74/1.10 2 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.74/1.10 3 (wt=9) [flip(2)] apply(A,B) = apply(apply(t,B),A).
% 0.74/1.10 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.10 4 (wt=19) [demod([1,1])] -(apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z) = apply(x,apply(z,y))).
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Demodulators:
% 0.74/1.10 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 Passive:
% 0.74/1.10 end_of_list.
% 0.74/1.10
% 0.74/1.10 UNIT CONFLICT from 26 and x=x at 0.00 seconds.
% 0.74/1.10
% 0.74/1.10 ---------------- PROOF ----------------
% 0.74/1.10 % SZS output start Refutation
% See solution above
% 0.74/1.10 ------------ end of proof -------------
% 0.74/1.10
% 0.74/1.10
% 0.74/1.10 ------------- memory usage ------------
% 0.74/1.10 Memory dynamically allocated (tp_alloc): 488.
% 0.74/1.10 type (bytes each) gets frees in use avail bytes
% 0.74/1.10 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.74/1.10 term ( 16) 1708 1342 366 20 7.4 K
% 0.74/1.10 gen_ptr ( 8) 1497 225 1272 7 10.0 K
% 0.74/1.10 context ( 808) 1046 1044 2 2 3.2 K
% 0.74/1.10 trail ( 12) 30 30 0 3 0.0 K
% 0.74/1.10 bt_node ( 68) 366 361 5 5 0.7 K
% 0.74/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.10 ac_match_free_vars_pos (4020)
% 0.74/1.10 0 0 0 0 0.0 K
% 0.74/1.10 discrim ( 12) 273 19 254 0 3.0 K
% 0.74/1.10 flat ( 40) 2511 2511 0 17 0.7 K
% 0.74/1.10 discrim_pos ( 12) 42 42 0 1 0.0 K
% 0.74/1.10 fpa_head ( 12) 156 0 156 0 1.8 K
% 0.74/1.10 fpa_tree ( 28) 88 88 0 17 0.5 K
% 0.74/1.10 fpa_pos ( 36) 36 36 0 1 0.0 K
% 0.74/1.10 literal ( 12) 109 83 26 1 0.3 K
% 0.74/1.10 clause ( 24) 109 83 26 1 0.6 K
% 0.74/1.10 list ( 12) 70 14 56 3 0.7 K
% 0.74/1.10 list_pos ( 20) 91 7 84 0 1.6 K
% 0.74/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.10
% 0.74/1.10 -------------- statistics -------------
% 0.74/1.10 Clauses input 3
% 0.74/1.10 Usable input 0
% 0.74/1.10 Sos input 3
% 0.74/1.10 Demodulators input 0
% 0.74/1.10 Passive input 0
% 0.74/1.10
% 0.74/1.10 Processed BS (before search) 5
% 0.74/1.10 Forward subsumed BS 1
% 0.74/1.10 Kept BS 4
% 0.74/1.10 New demodulators BS 1
% 0.74/1.10 Back demodulated BS 0
% 0.74/1.10
% 0.74/1.10 Clauses or pairs given 29
% 0.74/1.10 Clauses generated 56
% 0.74/1.10 Forward subsumed 34
% 0.74/1.10 Deleted by weight 0
% 0.74/1.10 Deleted by variable count 0
% 0.74/1.10 Kept 22
% 0.74/1.10 New demodulators 10
% 0.74/1.10 Back demodulated 1
% 0.74/1.10 Ordered paramod prunes 0
% 0.74/1.10 Basic paramod prunes 37
% 0.74/1.10 Prime paramod prunes 0
% 0.74/1.10 Semantic prunes 0
% 0.74/1.10
% 0.74/1.10 Rewrite attmepts 588
% 0.74/1.10 Rewrites 19
% 0.74/1.10
% 0.74/1.10 FPA overloads 0
% 0.74/1.10 FPA underloads 0
% 0.74/1.10
% 0.74/1.10 Usable size 0
% 0.74/1.10 Sos size 24
% 0.74/1.10 Demodulators size 11
% 0.74/1.10 Passive size 0
% 0.74/1.10 Disabled size 1
% 0.74/1.10
% 0.74/1.10 Proofs found 1
% 0.74/1.10
% 0.74/1.10 ----------- times (seconds) ----------- Tue May 31 10:30:23 2022
% 0.74/1.10
% 0.74/1.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.74/1.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.74/1.10 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.10 input time 0.00
% 0.74/1.10 paramodulation time 0.00
% 0.74/1.10 demodulation time 0.00
% 0.74/1.10 orient time 0.00
% 0.74/1.10 weigh time 0.00
% 0.74/1.10 forward subsume time 0.00
% 0.74/1.10 back demod find time 0.00
% 0.74/1.10 conflict time 0.00
% 0.74/1.10 LRPO time 0.00
% 0.74/1.10 store clause time 0.00
% 0.74/1.10 disable clause time 0.00
% 0.74/1.10 prime paramod time 0.00
% 0.74/1.10 semantics time 0.00
% 0.74/1.10
% 0.74/1.10 EQP interrupted
%------------------------------------------------------------------------------