TSTP Solution File: COL042-6 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL042-6 : TPTP v8.1.0. Released v2.1.0.
% 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 00:23:15 EDT 2022
% Result : Unsatisfiable 0.46s 1.15s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 0 equ; 1 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL042-6.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w1,A),B),apply(apply(B,A),A)),
file('COL042-6.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(apply(b,apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),b)),b),strong_fixed_point),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
~ equal(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),apply(strong_fixed_point,fixed_pt)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(6,plain,
equal(apply(apply(w1,A),w1),apply(apply(A,A),A)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(19,plain,
equal(apply(apply(w1,w1),apply(apply(b,w1),apply(b,apply(b,A)))),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1]),1,1]),1]),
[iquote('para(4,1),demod([1,1]),flip(1)')] ).
cnf(188,plain,
equal(apply(apply(w1,apply(apply(b,apply(b,A)),w1)),w1),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,2]),1]),1]),
[iquote('para(19,2),demod([1]),flip(1)')] ).
cnf(189,plain,
equal(apply(apply(w1,apply(apply(b,apply(b,A)),w1)),apply(apply(b,apply(b,A)),w1)),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[188,2]),1]),
[iquote('para(188,2),flip(1)')] ).
cnf(199,plain,
equal(apply(A,apply(strong_fixed_point,A)),apply(strong_fixed_point,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[188,6]),1,1,189]),1]),
[iquote('para(188,6),demod([1,1,189]),flip(1)')] ).
cnf(200,plain,
$false,
inference(conflict,[status(thm)],[199,5]),
[iquote('conflict(199,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL042-6 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n023.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 12:24:56 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.46/1.15 ----- EQP 0.9e, May 2009 -----
% 0.46/1.15 The job began on n023.cluster.edu, Tue May 31 12:24:57 2022
% 0.46/1.15 The command was "./eqp09e".
% 0.46/1.15
% 0.46/1.15 set(prolog_style_variables).
% 0.46/1.15 set(lrpo).
% 0.46/1.15 set(basic_paramod).
% 0.46/1.15 set(functional_subsume).
% 0.46/1.15 set(ordered_paramod).
% 0.46/1.15 set(prime_paramod).
% 0.46/1.15 set(para_pairs).
% 0.46/1.15 assign(pick_given_ratio,4).
% 0.46/1.15 clear(print_kept).
% 0.46/1.15 clear(print_new_demod).
% 0.46/1.15 clear(print_back_demod).
% 0.46/1.15 clear(print_given).
% 0.46/1.15 assign(max_mem,64000).
% 0.46/1.15 end_of_commands.
% 0.46/1.15
% 0.46/1.15 Usable:
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Sos:
% 0.46/1.15 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.46/1.15 0 (wt=-1) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.46/1.15 0 (wt=-1) [] strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),b)),b).
% 0.46/1.15 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Demodulators:
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Passive:
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Starting to process input.
% 0.46/1.15
% 0.46/1.15 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.46/1.15 1 is a new demodulator.
% 0.46/1.15
% 0.46/1.15 ** KEPT: 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.46/1.15
% 0.46/1.15 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.46/1.15 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w1,B),A) = apply(apply(A,B),B).
% 0.46/1.15
% 0.46/1.15 ** KEPT: 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),b)),b) = strong_fixed_point.
% 0.46/1.15 4 is a new demodulator.
% 0.46/1.15
% 0.46/1.15 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.46/1.15 ---------------- PROOF FOUND ----------------
% 0.46/1.15 % SZS status Unsatisfiable
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 After processing input:
% 0.46/1.15
% 0.46/1.15 Usable:
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Sos:
% 0.46/1.15 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.46/1.15 2 (wt=11) [] apply(apply(w1,A),B) = apply(apply(B,A),A).
% 0.46/1.15 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w1,B),A).
% 0.46/1.15 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.46/1.15 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),b)),b) = strong_fixed_point.
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Demodulators:
% 0.46/1.15 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.46/1.15 4 (wt=19) [flip(1)] apply(apply(b,apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),b)),b) = strong_fixed_point.
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 Passive:
% 0.46/1.15 end_of_list.
% 0.46/1.15
% 0.46/1.15 UNIT CONFLICT from 199 and 5 at 0.01 seconds.
% 0.46/1.15
% 0.46/1.15 ---------------- PROOF ----------------
% 0.46/1.15 % SZS output start Refutation
% See solution above
% 0.46/1.15 ------------ end of proof -------------
% 0.46/1.15
% 0.46/1.15
% 0.46/1.15 ------------- memory usage ------------
% 0.46/1.15 Memory dynamically allocated (tp_alloc): 488.
% 0.46/1.15 type (bytes each) gets frees in use avail bytes
% 0.46/1.15 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.46/1.15 term ( 16) 11159 6882 4277 36 83.4 K
% 0.46/1.15 gen_ptr ( 8) 18478 858 17620 10 137.7 K
% 0.46/1.15 context ( 808) 10950 10948 2 5 5.5 K
% 0.46/1.15 trail ( 12) 169 169 0 3 0.0 K
% 0.46/1.15 bt_node ( 68) 4439 4434 5 12 1.1 K
% 0.46/1.15 ac_position (285432) 0 0 0 0 0.0 K
% 0.46/1.15 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.46/1.15 ac_match_free_vars_pos (4020)
% 0.46/1.15 0 0 0 0 0.0 K
% 0.46/1.15 discrim ( 12) 3419 77 3342 0 39.2 K
% 0.46/1.15 flat ( 40) 25628 25628 0 29 1.1 K
% 0.46/1.15 discrim_pos ( 12) 232 232 0 1 0.0 K
% 0.46/1.15 fpa_head ( 12) 578 0 578 0 6.8 K
% 0.46/1.15 fpa_tree ( 28) 703 703 0 21 0.6 K
% 0.46/1.15 fpa_pos ( 36) 282 282 0 1 0.0 K
% 0.46/1.15 literal ( 12) 686 487 199 1 2.3 K
% 0.46/1.15 clause ( 24) 686 487 199 1 4.7 K
% 0.46/1.15 list ( 12) 142 86 56 3 0.7 K
% 0.46/1.15 list_pos ( 20) 687 19 668 0 13.0 K
% 0.46/1.15 pair_index ( 40) 2 0 2 0 0.1 K
% 0.46/1.15
% 0.46/1.15 -------------- statistics -------------
% 0.46/1.15 Clauses input 4
% 0.46/1.15 Usable input 0
% 0.46/1.15 Sos input 4
% 0.46/1.15 Demodulators input 0
% 0.46/1.15 Passive input 0
% 0.46/1.15
% 0.46/1.15 Processed BS (before search) 6
% 0.46/1.15 Forward subsumed BS 1
% 0.46/1.15 Kept BS 5
% 0.46/1.15 New demodulators BS 2
% 0.46/1.15 Back demodulated BS 0
% 0.46/1.15
% 0.46/1.15 Clauses or pairs given 257
% 0.46/1.15 Clauses generated 359
% 0.46/1.15 Forward subsumed 165
% 0.46/1.15 Deleted by weight 0
% 0.46/1.15 Deleted by variable count 0
% 0.46/1.15 Kept 194
% 0.46/1.15 New demodulators 81
% 0.46/1.15 Back demodulated 3
% 0.46/1.15 Ordered paramod prunes 0
% 0.46/1.15 Basic paramod prunes 521
% 0.46/1.15 Prime paramod prunes 4
% 0.46/1.15 Semantic prunes 0
% 0.46/1.15
% 0.46/1.15 Rewrite attmepts 6178
% 0.46/1.15 Rewrites 124
% 0.46/1.15
% 0.46/1.15 FPA overloads 0
% 0.46/1.15 FPA underloads 0
% 0.46/1.15
% 0.46/1.15 Usable size 0
% 0.46/1.15 Sos size 195
% 0.46/1.15 Demodulators size 80
% 0.46/1.15 Passive size 0
% 0.46/1.15 Disabled size 3
% 0.46/1.15
% 0.46/1.15 Proofs found 1
% 0.46/1.15
% 0.46/1.15 ----------- times (seconds) ----------- Tue May 31 12:24:57 2022
% 0.46/1.15
% 0.46/1.15 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.46/1.15 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.46/1.15 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.46/1.15 input time 0.00
% 0.46/1.15 paramodulation time 0.00
% 0.46/1.15 demodulation time 0.00
% 0.46/1.15 orient time 0.00
% 0.46/1.15 weigh time 0.00
% 0.46/1.15 forward subsume time 0.00
% 0.46/1.15 back demod find time 0.00
% 0.46/1.15 conflict time 0.00
% 0.46/1.15 LRPO time 0.00
% 0.46/1.15 store clause time 0.00
% 0.46/1.15 disable clause time 0.00
% 0.46/1.15 prime paramod time 0.00
% 0.46/1.15 semantics time 0.00
% 0.46/1.15
% 0.46/1.15 EQP interrupted
%------------------------------------------------------------------------------