TSTP Solution File: COL032-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:23:13 EDT 2022
% Result : Unsatisfiable 0.73s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(m,A),apply(A,A)),
file('COL032-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(A,A),apply(m,A)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(apply(apply(apply(q,A),B),C),apply(B,apply(A,C))),
file('COL032-1.p',unknown),
[] ).
cnf(4,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(apply(m,apply(apply(q,A),B)),apply(B,apply(A,apply(apply(q,A),B)))),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(9,plain,
equal(apply(A,apply(B,apply(apply(q,B),A))),apply(m,apply(apply(q,B),A))),
inference(flip,[status(thm),theory(equality)],[8]),
[iquote('flip(8)')] ).
cnf(13,plain,
~ equal(apply(f(apply(apply(q,A),B)),apply(B,apply(A,f(apply(apply(q,A),B))))),apply(B,apply(A,f(apply(apply(q,A),B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4]),3]),
[iquote('para(3,4),demod([3])')] ).
cnf(14,plain,
$false,
inference(conflict,[status(thm)],[13,9]),
[iquote('conflict(13,9)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n022.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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 12:01:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.08 ----- EQP 0.9e, May 2009 -----
% 0.73/1.08 The job began on n022.cluster.edu, Tue May 31 12:01:38 2022
% 0.73/1.08 The command was "./eqp09e".
% 0.73/1.08
% 0.73/1.08 set(prolog_style_variables).
% 0.73/1.08 set(lrpo).
% 0.73/1.08 set(basic_paramod).
% 0.73/1.08 set(functional_subsume).
% 0.73/1.08 set(ordered_paramod).
% 0.73/1.08 set(prime_paramod).
% 0.73/1.08 set(para_pairs).
% 0.73/1.08 assign(pick_given_ratio,4).
% 0.73/1.08 clear(print_kept).
% 0.73/1.08 clear(print_new_demod).
% 0.73/1.08 clear(print_back_demod).
% 0.73/1.08 clear(print_given).
% 0.73/1.08 assign(max_mem,64000).
% 0.73/1.08 end_of_commands.
% 0.73/1.08
% 0.73/1.08 Usable:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Sos:
% 0.73/1.08 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.73/1.08 0 (wt=-1) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.73/1.08 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Demodulators:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Passive:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Starting to process input.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 1 (wt=7) [] apply(m,A) = apply(A,A).
% 0.73/1.08
% 0.73/1.08 ** KEPT: 2 (wt=7) [flip(1)] apply(A,A) = apply(m,A).
% 0.73/1.08 clause forward subsumed: 0 (wt=7) [flip(2)] apply(m,A) = apply(A,A).
% 0.73/1.08
% 0.73/1.08 ** KEPT: 3 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.73/1.08 3 is a new demodulator.
% 0.73/1.08
% 0.73/1.08 ** KEPT: 4 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.73/1.08 ---------------- PROOF FOUND ----------------
% 0.73/1.08 % SZS status Unsatisfiable
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 After processing input:
% 0.73/1.08
% 0.73/1.08 Usable:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Sos:
% 0.73/1.08 1 (wt=7) [] apply(m,A) = apply(A,A).
% 0.73/1.08 2 (wt=7) [flip(1)] apply(A,A) = apply(m,A).
% 0.73/1.08 4 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.73/1.08 3 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Demodulators:
% 0.73/1.08 3 (wt=13) [] apply(apply(apply(q,A),B),C) = apply(B,apply(A,C)).
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 Passive:
% 0.73/1.08 end_of_list.
% 0.73/1.08
% 0.73/1.08 UNIT CONFLICT from 13 and 9 at 0.00 seconds.
% 0.73/1.08
% 0.73/1.08 ---------------- PROOF ----------------
% 0.73/1.08 % SZS output start Refutation
% See solution above
% 0.73/1.08 ------------ end of proof -------------
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 ------------- memory usage ------------
% 0.73/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.73/1.08 type (bytes each) gets frees in use avail bytes
% 0.73/1.08 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.73/1.08 term ( 16) 823 626 197 29 4.4 K
% 0.73/1.08 gen_ptr ( 8) 671 81 590 7 4.7 K
% 0.73/1.08 context ( 808) 424 422 2 2 3.2 K
% 0.73/1.08 trail ( 12) 19 19 0 4 0.0 K
% 0.73/1.08 bt_node ( 68) 133 130 3 4 0.5 K
% 0.73/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_free_vars_pos (4020)
% 0.73/1.08 0 0 0 0 0.0 K
% 0.73/1.08 discrim ( 12) 172 0 172 0 2.0 K
% 0.73/1.08 flat ( 40) 717 717 0 17 0.7 K
% 0.73/1.08 discrim_pos ( 12) 6 6 0 1 0.0 K
% 0.73/1.08 fpa_head ( 12) 140 0 140 0 1.6 K
% 0.73/1.08 fpa_tree ( 28) 48 48 0 11 0.3 K
% 0.73/1.08 fpa_pos ( 36) 19 19 0 1 0.0 K
% 0.73/1.08 literal ( 12) 36 23 13 0 0.2 K
% 0.73/1.08 clause ( 24) 36 23 13 0 0.3 K
% 0.73/1.08 list ( 12) 65 9 56 3 0.7 K
% 0.73/1.08 list_pos ( 20) 45 3 42 0 0.8 K
% 0.73/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.08
% 0.73/1.08 -------------- statistics -------------
% 0.73/1.08 Clauses input 3
% 0.73/1.08 Usable input 0
% 0.73/1.08 Sos input 3
% 0.73/1.08 Demodulators input 0
% 0.73/1.08 Passive input 0
% 0.73/1.08
% 0.73/1.08 Processed BS (before search) 5
% 0.73/1.08 Forward subsumed BS 1
% 0.73/1.08 Kept BS 4
% 0.73/1.08 New demodulators BS 1
% 0.73/1.08 Back demodulated BS 0
% 0.73/1.08
% 0.73/1.08 Clauses or pairs given 15
% 0.73/1.08 Clauses generated 17
% 0.73/1.08 Forward subsumed 8
% 0.73/1.08 Deleted by weight 0
% 0.73/1.08 Deleted by variable count 0
% 0.73/1.08 Kept 9
% 0.73/1.08 New demodulators 5
% 0.73/1.08 Back demodulated 0
% 0.73/1.08 Ordered paramod prunes 0
% 0.73/1.08 Basic paramod prunes 16
% 0.73/1.08 Prime paramod prunes 0
% 0.73/1.08 Semantic prunes 0
% 0.73/1.08
% 0.73/1.08 Rewrite attmepts 211
% 0.73/1.08 Rewrites 3
% 0.73/1.08
% 0.73/1.08 FPA overloads 0
% 0.73/1.08 FPA underloads 0
% 0.73/1.08
% 0.73/1.08 Usable size 0
% 0.73/1.08 Sos size 12
% 0.73/1.08 Demodulators size 6
% 0.73/1.08 Passive size 0
% 0.73/1.08 Disabled size 0
% 0.73/1.08
% 0.73/1.08 Proofs found 1
% 0.73/1.08
% 0.73/1.08 ----------- times (seconds) ----------- Tue May 31 12:01:38 2022
% 0.73/1.08
% 0.73/1.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.73/1.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.73/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.08 input time 0.00
% 0.73/1.08 paramodulation time 0.00
% 0.73/1.08 demodulation time 0.00
% 0.73/1.08 orient time 0.00
% 0.73/1.08 weigh time 0.00
% 0.73/1.08 forward subsume time 0.00
% 0.73/1.08 back demod find time 0.00
% 0.73/1.08 conflict time 0.00
% 0.73/1.08 LRPO time 0.00
% 0.73/1.08 store clause time 0.00
% 0.73/1.08 disable clause time 0.00
% 0.73/1.08 prime paramod time 0.00
% 0.73/1.08 semantics time 0.00
% 0.73/1.08
% 0.73/1.08 EQP interrupted
%------------------------------------------------------------------------------