%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 00:23:08 EDT 2022
% Result : Unsatisfiable 0.78s 1.19s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 0 equ; 1 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL003-13.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(w,A),B),apply(apply(A,B),B)),
file('COL003-13.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(A,B),B),apply(apply(w,A),B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),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(w,w),A),apply(apply(A,A),A)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(7,plain,
equal(apply(apply(A,A),A),apply(apply(w,w),A)),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(9,plain,
equal(apply(apply(apply(w,A),B),B),apply(apply(w,apply(A,B)),B)),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(13,plain,
equal(apply(apply(w,apply(b,A)),B),apply(A,apply(B,B))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(14,plain,
equal(apply(A,apply(B,B)),apply(apply(w,apply(b,A)),B)),
inference(flip,[status(thm),theory(equality)],[13]),
[iquote('flip(13)')] ).
cnf(20,plain,
equal(apply(apply(w,w),apply(w,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(75,plain,
equal(apply(apply(apply(w,apply(b,apply(b,A))),B),C),apply(A,apply(apply(B,B),C))),
inference(para,[status(thm),theory(equality)],[14,1]),
[iquote('para(14,1)')] ).
cnf(119,plain,
equal(apply(apply(w,apply(A,apply(w,A))),apply(w,A)),apply(apply(w,w),apply(w,A))),
inference(para,[status(thm),theory(equality)],[9,7]),
[iquote('para(9,7)')] ).
cnf(580,plain,
equal(apply(A,apply(strong_fixed_point,A)),apply(strong_fixed_point,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[75,7]),9,119,20,20]),
[iquote('para(75,7),demod([9,119,20,20])')] ).
cnf(581,plain,
$false,
inference(conflict,[status(thm)],[580,5]),
[iquote('conflict(580,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL003-13 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 14:40:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.78/1.19 ----- EQP 0.9e, May 2009 -----
% 0.78/1.19 The job began on n025.cluster.edu, Tue May 31 14:40:14 2022
% 0.78/1.19 The command was "./eqp09e".
% 0.78/1.19
% 0.78/1.19 set(prolog_style_variables).
% 0.78/1.19 set(lrpo).
% 0.78/1.19 set(basic_paramod).
% 0.78/1.19 set(functional_subsume).
% 0.78/1.19 set(ordered_paramod).
% 0.78/1.19 set(prime_paramod).
% 0.78/1.19 set(para_pairs).
% 0.78/1.19 assign(pick_given_ratio,4).
% 0.78/1.19 clear(print_kept).
% 0.78/1.19 clear(print_new_demod).
% 0.78/1.19 clear(print_back_demod).
% 0.78/1.19 clear(print_given).
% 0.78/1.19 assign(max_mem,64000).
% 0.78/1.19 end_of_commands.
% 0.78/1.19
% 0.78/1.19 Usable:
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Sos:
% 0.78/1.19 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.78/1.19 0 (wt=-1) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.78/1.19 0 (wt=-1) [] strong_fixed_point = apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)).
% 0.78/1.19 0 (wt=-1) [] -(apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt))).
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Demodulators:
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Passive:
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Starting to process input.
% 0.78/1.19
% 0.78/1.19 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.78/1.19 1 is a new demodulator.
% 0.78/1.19
% 0.78/1.19 ** KEPT: 2 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.78/1.19
% 0.78/1.19 ** KEPT: 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.78/1.19 clause forward subsumed: 0 (wt=11) [flip(3)] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.78/1.19
% 0.78/1.19 ** KEPT: 4 (wt=17) [flip(1)] apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)) = strong_fixed_point.
% 0.78/1.19 4 is a new demodulator.
% 0.78/1.19
% 0.78/1.19 ** KEPT: 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.78/1.19 ---------------- PROOF FOUND ----------------
% 0.78/1.19 % SZS status Unsatisfiable
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 After processing input:
% 0.78/1.19
% 0.78/1.19 Usable:
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Sos:
% 0.78/1.19 5 (wt=9) [flip(1)] -(apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) = apply(strong_fixed_point,fixed_pt)).
% 0.78/1.19 2 (wt=11) [] apply(apply(w,A),B) = apply(apply(A,B),B).
% 0.78/1.19 3 (wt=11) [flip(2)] apply(apply(A,B),B) = apply(apply(w,A),B).
% 0.78/1.19 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.78/1.19 4 (wt=17) [flip(1)] apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)) = strong_fixed_point.
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Demodulators:
% 0.78/1.19 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.78/1.19 4 (wt=17) [flip(1)] apply(apply(b,apply(w,w)),apply(apply(b,apply(apply(b,w),b)),b)) = strong_fixed_point.
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 Passive:
% 0.78/1.19 end_of_list.
% 0.78/1.19
% 0.78/1.19 UNIT CONFLICT from 580 and 5 at 0.05 seconds.
% 0.78/1.19
% 0.78/1.19 ---------------- PROOF ----------------
% 0.78/1.19 % SZS output start Refutation
% See solution above
% 0.78/1.19 ------------ end of proof -------------
% 0.78/1.19
% 0.78/1.19
% 0.78/1.19 ------------- memory usage ------------
% 0.78/1.19 Memory dynamically allocated (tp_alloc): 1464.
% 0.78/1.19 type (bytes each) gets frees in use avail bytes
% 0.78/1.19 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.78/1.19 term ( 16) 46565 31377 15188 52 295.4 K
% 0.78/1.19 gen_ptr ( 8) 74741 3774 70967 14 554.5 K
% 0.78/1.19 context ( 808) 47203 47201 2 5 5.5 K
% 0.78/1.19 trail ( 12) 424 424 0 3 0.0 K
% 0.78/1.19 bt_node ( 68) 17559 17554 5 12 1.1 K
% 0.78/1.19 ac_position (285432) 0 0 0 0 0.0 K
% 0.78/1.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.78/1.19 ac_match_free_vars_pos (4020)
% 0.78/1.19 0 0 0 0 0.0 K
% 0.78/1.19 discrim ( 12) 12437 370 12067 0 141.4 K
% 0.78/1.19 flat ( 40) 132752 132752 0 51 2.0 K
% 0.78/1.19 discrim_pos ( 12) 1166 1166 0 1 0.0 K
% 0.78/1.19 fpa_head ( 12) 1150 0 1150 0 13.5 K
% 0.78/1.19 fpa_tree ( 28) 2939 2939 0 43 1.2 K
% 0.78/1.19 fpa_pos ( 36) 806 806 0 1 0.0 K
% 0.78/1.19 literal ( 12) 2690 2110 580 1 6.8 K
% 0.78/1.19 clause ( 24) 2690 2110 580 1 13.6 K
% 0.78/1.19 list ( 12) 285 229 56 3 0.7 K
% 0.78/1.19 list_pos ( 20) 2007 98 1909 0 37.3 K
% 0.78/1.19 pair_index ( 40) 2 0 2 0 0.1 K
% 0.78/1.19
% 0.78/1.19 -------------- statistics -------------
% 0.78/1.19 Clauses input 4
% 0.78/1.19 Usable input 0
% 0.78/1.19 Sos input 4
% 0.78/1.19 Demodulators input 0
% 0.78/1.19 Passive input 0
% 0.78/1.19
% 0.78/1.19 Processed BS (before search) 6
% 0.78/1.19 Forward subsumed BS 1
% 0.78/1.19 Kept BS 5
% 0.78/1.19 New demodulators BS 2
% 0.78/1.19 Back demodulated BS 0
% 0.78/1.19
% 0.78/1.19 Clauses or pairs given 1044
% 0.78/1.19 Clauses generated 1192
% 0.78/1.19 Forward subsumed 617
% 0.78/1.19 Deleted by weight 0
% 0.78/1.19 Deleted by variable count 0
% 0.78/1.19 Kept 575
% 0.78/1.19 New demodulators 224
% 0.78/1.19 Back demodulated 20
% 0.78/1.19 Ordered paramod prunes 0
% 0.78/1.19 Basic paramod prunes 3634
% 0.78/1.19 Prime paramod prunes 13
% 0.78/1.19 Semantic prunes 0
% 0.78/1.19
% 0.78/1.19 Rewrite attmepts 27462
% 0.78/1.19 Rewrites 753
% 0.78/1.19
% 0.78/1.19 FPA overloads 0
% 0.78/1.19 FPA underloads 0
% 0.78/1.19
% 0.78/1.19 Usable size 0
% 0.78/1.19 Sos size 559
% 0.78/1.19 Demodulators size 212
% 0.78/1.19 Passive size 0
% 0.78/1.19 Disabled size 20
% 0.78/1.19
% 0.78/1.19 Proofs found 1
% 0.78/1.19
% 0.78/1.19 ----------- times (seconds) ----------- Tue May 31 14:40:14 2022
% 0.78/1.19
% 0.78/1.19 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.78/1.19 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.78/1.19 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.78/1.19 input time 0.00
% 0.78/1.19 paramodulation time 0.01
% 0.78/1.19 demodulation time 0.00
% 0.78/1.19 orient time 0.01
% 0.78/1.19 weigh time 0.00
% 0.78/1.19 forward subsume time 0.00
% 0.78/1.19 back demod find time 0.00
% 0.78/1.19 conflict time 0.00
% 0.78/1.19 LRPO time 0.00
% 0.78/1.19 store clause time 0.01
% 0.78/1.19 disable clause time 0.00
% 0.78/1.19 prime paramod time 0.00
% 0.78/1.19 semantics time 0.00
% 0.78/1.19
% 0.78/1.19 EQP interrupted
%------------------------------------------------------------------------------