TSTP Solution File: COL041-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL041-1 : 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 00:23:14 EDT 2022
% Result : Unsatisfiable 0.43s 1.08s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL041-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(m,A),apply(A,A)),
file('COL041-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(A,A),apply(m,A)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(apply(c,A),B),C),apply(apply(A,C),B)),
file('COL041-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(apply(A,B),C),apply(apply(apply(c,A),C),B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(24,plain,
equal(apply(apply(apply(apply(c,b),A),B),C),apply(B,apply(A,C))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(47,plain,
~ equal(apply(f(apply(apply(b,A),B)),apply(A,apply(B,f(apply(apply(b,A),B))))),apply(A,apply(B,f(apply(apply(b,A),B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,6]),1]),
[iquote('para(1,6),demod([1])')] ).
cnf(57,plain,
equal(apply(A,apply(B,apply(apply(apply(c,b),B),A))),apply(m,apply(apply(apply(c,b),B),A))),
inference(para,[status(thm),theory(equality)],[24,3]),
[iquote('para(24,3)')] ).
cnf(58,plain,
$false,
inference(conflict,[status(thm)],[57,47]),
[iquote('conflict(57,47)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 08:24:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.08 ----- EQP 0.9e, May 2009 -----
% 0.43/1.08 The job began on n022.cluster.edu, Tue May 31 08:24:53 2022
% 0.43/1.08 The command was "./eqp09e".
% 0.43/1.08
% 0.43/1.08 set(prolog_style_variables).
% 0.43/1.08 set(lrpo).
% 0.43/1.08 set(basic_paramod).
% 0.43/1.08 set(functional_subsume).
% 0.43/1.08 set(ordered_paramod).
% 0.43/1.08 set(prime_paramod).
% 0.43/1.08 set(para_pairs).
% 0.43/1.08 assign(pick_given_ratio,4).
% 0.43/1.08 clear(print_kept).
% 0.43/1.08 clear(print_new_demod).
% 0.43/1.08 clear(print_back_demod).
% 0.43/1.08 clear(print_given).
% 0.43/1.08 assign(max_mem,64000).
% 0.43/1.08 end_of_commands.
% 0.43/1.08
% 0.43/1.08 Usable:
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Sos:
% 0.43/1.08 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.43/1.08 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.43/1.08 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.43/1.08 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Demodulators:
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Passive:
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Starting to process input.
% 0.43/1.08
% 0.43/1.08 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.43/1.08 1 is a new demodulator.
% 0.43/1.08
% 0.43/1.08 ** KEPT: 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.43/1.08
% 0.43/1.08 ** KEPT: 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.43/1.08 clause forward subsumed: 0 (wt=7) [flip(3)] apply(m,A) = apply(A,A).
% 0.43/1.08
% 0.43/1.08 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.43/1.08
% 0.43/1.08 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.43/1.08 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 0.43/1.08
% 0.43/1.08 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.43/1.08 ---------------- PROOF FOUND ----------------
% 0.43/1.08 % SZS status Unsatisfiable
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 After processing input:
% 0.43/1.08
% 0.43/1.08 Usable:
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Sos:
% 0.43/1.08 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.43/1.08 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.43/1.08 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.43/1.08 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.43/1.08 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.43/1.08 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Demodulators:
% 0.43/1.08 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 Passive:
% 0.43/1.08 end_of_list.
% 0.43/1.08
% 0.43/1.08 UNIT CONFLICT from 57 and 47 at 0.00 seconds.
% 0.43/1.08
% 0.43/1.08 ---------------- PROOF ----------------
% 0.43/1.08 % SZS output start Refutation
% See solution above
% 0.43/1.08 ------------ end of proof -------------
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 ------------- memory usage ------------
% 0.43/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.08 type (bytes each) gets frees in use avail bytes
% 0.43/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.43/1.09 term ( 16) 2612 1705 907 29 18.0 K
% 0.43/1.09 gen_ptr ( 8) 3542 237 3305 9 25.9 K
% 0.43/1.09 context ( 808) 2024 2022 2 3 3.9 K
% 0.43/1.09 trail ( 12) 63 63 0 4 0.0 K
% 0.43/1.09 bt_node ( 68) 571 568 3 4 0.5 K
% 0.43/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.09 ac_match_free_vars_pos (4020)
% 0.43/1.09 0 0 0 0 0.0 K
% 0.43/1.09 discrim ( 12) 738 10 728 0 8.5 K
% 0.43/1.09 flat ( 40) 4677 4677 0 19 0.7 K
% 0.43/1.09 discrim_pos ( 12) 41 41 0 1 0.0 K
% 0.43/1.09 fpa_head ( 12) 371 0 371 0 4.3 K
% 0.43/1.09 fpa_tree ( 28) 176 176 0 17 0.5 K
% 0.43/1.09 fpa_pos ( 36) 80 80 0 1 0.0 K
% 0.43/1.09 literal ( 12) 178 121 57 1 0.7 K
% 0.43/1.09 clause ( 24) 178 121 57 1 1.4 K
% 0.43/1.09 list ( 12) 82 26 56 3 0.7 K
% 0.43/1.09 list_pos ( 20) 197 9 188 0 3.7 K
% 0.43/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.09
% 0.43/1.09 -------------- statistics -------------
% 0.43/1.09 Clauses input 4
% 0.43/1.09 Usable input 0
% 0.43/1.09 Sos input 4
% 0.43/1.09 Demodulators input 0
% 0.43/1.09 Passive input 0
% 0.43/1.09
% 0.43/1.09 Processed BS (before search) 8
% 0.43/1.09 Forward subsumed BS 2
% 0.43/1.09 Kept BS 6
% 0.43/1.09 New demodulators BS 1
% 0.43/1.09 Back demodulated BS 0
% 0.43/1.09
% 0.43/1.09 Clauses or pairs given 58
% 0.43/1.09 Clauses generated 90
% 0.43/1.09 Forward subsumed 39
% 0.43/1.09 Deleted by weight 0
% 0.43/1.09 Deleted by variable count 0
% 0.43/1.09 Kept 51
% 0.43/1.09 New demodulators 22
% 0.43/1.09 Back demodulated 1
% 0.43/1.09 Ordered paramod prunes 0
% 0.43/1.09 Basic paramod prunes 64
% 0.43/1.09 Prime paramod prunes 0
% 0.43/1.09 Semantic prunes 0
% 0.43/1.09
% 0.43/1.09 Rewrite attmepts 1137
% 0.43/1.09 Rewrites 18
% 0.43/1.09
% 0.43/1.09 FPA overloads 0
% 0.43/1.09 FPA underloads 0
% 0.43/1.09
% 0.43/1.09 Usable size 0
% 0.43/1.09 Sos size 55
% 0.43/1.09 Demodulators size 22
% 0.43/1.09 Passive size 0
% 0.43/1.09 Disabled size 1
% 0.43/1.09
% 0.43/1.09 Proofs found 1
% 0.43/1.09
% 0.43/1.09 ----------- times (seconds) ----------- Tue May 31 08:24:53 2022
% 0.43/1.09
% 0.43/1.09 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.09 input time 0.00
% 0.43/1.09 paramodulation time 0.00
% 0.43/1.09 demodulation time 0.00
% 0.43/1.09 orient time 0.00
% 0.43/1.09 weigh time 0.00
% 0.43/1.09 forward subsume time 0.00
% 0.43/1.09 back demod find time 0.00
% 0.43/1.09 conflict time 0.00
% 0.43/1.09 LRPO time 0.00
% 0.43/1.09 store clause time 0.00
% 0.43/1.09 disable clause time 0.00
% 0.43/1.09 prime paramod time 0.00
% 0.43/1.09 semantics time 0.00
% 0.43/1.09
% 0.43/1.09 EQP interrupted
%------------------------------------------------------------------------------