%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 00:23:20 EDT 2022
% Result : Unsatisfiable 0.41s 1.05s
% Output : Refutation 0.41s
% 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; 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL064-2.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(t,A),B),apply(B,A)),
file('COL064-2.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,apply(apply(b,b),t)),apply(b,apply(b,apply(t,x)))),y),z),apply(apply(z,x),y)),
inference(demod,[status(thm),theory(equality)],[1,1,1]),
[iquote('demod([1,1,1])')] ).
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(apply(z,x),y),apply(apply(t,x),apply(apply(b,apply(t,y)),z))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),16,1,1]),1]),
[iquote('back_demod(4),demod([16,1,1]),flip(1)')] ).
cnf(18,plain,
equal(apply(apply(t,A),apply(apply(b,B),C)),apply(B,apply(C,A))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(19,plain,
equal(apply(A,apply(B,C)),apply(apply(t,C),apply(apply(b,A),B))),
inference(flip,[status(thm),theory(equality)],[18]),
[iquote('flip(18)')] ).
cnf(46,plain,
equal(apply(apply(t,A),apply(apply(b,apply(t,B)),C)),apply(apply(C,A),B)),
inference(para,[status(thm),theory(equality)],[19,2]),
[iquote('para(19,2)')] ).
cnf(47,plain,
equal(apply(apply(A,B),C),apply(apply(t,B),apply(apply(b,apply(t,C)),A))),
inference(flip,[status(thm),theory(equality)],[46]),
[iquote('flip(46)')] ).
cnf(48,plain,
$false,
inference(conflict,[status(thm)],[47,17]),
[iquote('conflict(47,17)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n028.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 08:19:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.05 ----- EQP 0.9e, May 2009 -----
% 0.41/1.05 The job began on n028.cluster.edu, Tue May 31 08:19:21 2022
% 0.41/1.05 The command was "./eqp09e".
% 0.41/1.05
% 0.41/1.05 set(prolog_style_variables).
% 0.41/1.05 set(lrpo).
% 0.41/1.05 set(basic_paramod).
% 0.41/1.05 set(functional_subsume).
% 0.41/1.05 set(ordered_paramod).
% 0.41/1.05 set(prime_paramod).
% 0.41/1.05 set(para_pairs).
% 0.41/1.05 assign(pick_given_ratio,4).
% 0.41/1.05 clear(print_kept).
% 0.41/1.05 clear(print_new_demod).
% 0.41/1.05 clear(print_back_demod).
% 0.41/1.05 clear(print_given).
% 0.41/1.05 assign(max_mem,64000).
% 0.41/1.05 end_of_commands.
% 0.41/1.05
% 0.41/1.05 Usable:
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Sos:
% 0.41/1.05 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.05 0 (wt=-1) [] apply(apply(t,A),B) = apply(B,A).
% 0.41/1.05 0 (wt=-1) [] -(apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),apply(apply(b,b),t))),x),y),z) = apply(apply(z,x),y)).
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Demodulators:
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Passive:
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Starting to process input.
% 0.41/1.05
% 0.41/1.05 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.05 1 is a new demodulator.
% 0.41/1.05
% 0.41/1.05 ** KEPT: 2 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.41/1.05
% 0.41/1.05 ** KEPT: 3 (wt=9) [flip(2)] apply(A,B) = apply(apply(t,B),A).
% 0.41/1.05 clause forward subsumed: 0 (wt=9) [flip(3)] apply(apply(t,B),A) = apply(A,B).
% 0.41/1.05
% 0.41/1.05 ** KEPT: 4 (wt=25) [demod([1,1,1])] -(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(b,apply(t,x)))),y),z) = apply(apply(z,x),y)).
% 0.41/1.05 ---------------- PROOF FOUND ----------------
% 0.41/1.05 % SZS status Unsatisfiable
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 After processing input:
% 0.41/1.05
% 0.41/1.05 Usable:
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Sos:
% 0.41/1.05 2 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.41/1.05 3 (wt=9) [flip(2)] apply(A,B) = apply(apply(t,B),A).
% 0.41/1.05 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.05 4 (wt=25) [demod([1,1,1])] -(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(b,apply(t,x)))),y),z) = apply(apply(z,x),y)).
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Demodulators:
% 0.41/1.05 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 Passive:
% 0.41/1.05 end_of_list.
% 0.41/1.05
% 0.41/1.05 UNIT CONFLICT from 47 and 17 at 0.00 seconds.
% 0.41/1.05
% 0.41/1.05 ---------------- PROOF ----------------
% 0.41/1.05 % SZS output start Refutation
% See solution above
% 0.41/1.05 ------------ end of proof -------------
% 0.41/1.05
% 0.41/1.05
% 0.41/1.05 ------------- memory usage ------------
% 0.41/1.05 Memory dynamically allocated (tp_alloc): 488.
% 0.41/1.05 type (bytes each) gets frees in use avail bytes
% 0.41/1.05 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.41/1.05 term ( 16) 3495 2742 753 26 15.0 K
% 0.41/1.05 gen_ptr ( 8) 3299 454 2845 10 22.3 K
% 0.41/1.05 context ( 808) 2420 2418 2 3 3.9 K
% 0.41/1.05 trail ( 12) 54 54 0 3 0.0 K
% 0.41/1.05 bt_node ( 68) 822 819 3 6 0.6 K
% 0.41/1.05 ac_position (285432) 0 0 0 0 0.0 K
% 0.41/1.05 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.41/1.05 ac_match_free_vars_pos (4020)
% 0.41/1.05 0 0 0 0 0.0 K
% 0.41/1.05 discrim ( 12) 497 25 472 0 5.5 K
% 0.41/1.05 flat ( 40) 6543 6543 0 19 0.7 K
% 0.41/1.05 discrim_pos ( 12) 103 103 0 1 0.0 K
% 0.41/1.05 fpa_head ( 12) 260 0 260 0 3.0 K
% 0.41/1.05 fpa_tree ( 28) 158 158 0 15 0.4 K
% 0.41/1.05 fpa_pos ( 36) 66 66 0 1 0.0 K
% 0.41/1.05 literal ( 12) 226 179 47 1 0.6 K
% 0.41/1.05 clause ( 24) 226 179 47 1 1.1 K
% 0.41/1.05 list ( 12) 78 22 56 3 0.7 K
% 0.41/1.05 list_pos ( 20) 162 7 155 0 3.0 K
% 0.41/1.05 pair_index ( 40) 2 0 2 0 0.1 K
% 0.41/1.05
% 0.41/1.05 -------------- statistics -------------
% 0.41/1.05 Clauses input 3
% 0.41/1.05 Usable input 0
% 0.41/1.05 Sos input 3
% 0.41/1.05 Demodulators input 0
% 0.41/1.05 Passive input 0
% 0.41/1.05
% 0.41/1.05 Processed BS (before search) 5
% 0.41/1.05 Forward subsumed BS 1
% 0.41/1.05 Kept BS 4
% 0.41/1.05 New demodulators BS 1
% 0.41/1.05 Back demodulated BS 0
% 0.41/1.05
% 0.41/1.05 Clauses or pairs given 59
% 0.41/1.05 Clauses generated 121
% 0.41/1.05 Forward subsumed 78
% 0.41/1.05 Deleted by weight 0
% 0.41/1.05 Deleted by variable count 0
% 0.41/1.05 Kept 43
% 0.41/1.05 New demodulators 18
% 0.41/1.05 Back demodulated 1
% 0.41/1.05 Ordered paramod prunes 0
% 0.41/1.05 Basic paramod prunes 114
% 0.41/1.05 Prime paramod prunes 0
% 0.41/1.05 Semantic prunes 0
% 0.41/1.05
% 0.41/1.05 Rewrite attmepts 1419
% 0.41/1.05 Rewrites 53
% 0.41/1.05
% 0.41/1.05 FPA overloads 0
% 0.41/1.05 FPA underloads 0
% 0.41/1.05
% 0.41/1.05 Usable size 0
% 0.41/1.05 Sos size 45
% 0.41/1.05 Demodulators size 19
% 0.41/1.05 Passive size 0
% 0.41/1.05 Disabled size 1
% 0.41/1.05
% 0.41/1.05 Proofs found 1
% 0.41/1.05
% 0.41/1.05 ----------- times (seconds) ----------- Tue May 31 08:19:21 2022
% 0.41/1.05
% 0.41/1.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.05 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.41/1.05 input time 0.00
% 0.41/1.05 paramodulation time 0.00
% 0.41/1.05 demodulation time 0.00
% 0.41/1.05 orient time 0.00
% 0.41/1.05 weigh time 0.00
% 0.41/1.05 forward subsume time 0.00
% 0.41/1.05 back demod find time 0.00
% 0.41/1.05 conflict time 0.00
% 0.41/1.05 LRPO time 0.00
% 0.41/1.05 store clause time 0.00
% 0.41/1.05 disable clause time 0.00
% 0.41/1.05 prime paramod time 0.00
% 0.41/1.05 semantics time 0.00
% 0.41/1.05
% 0.41/1.05 EQP interrupted
%------------------------------------------------------------------------------