%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL002-4 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 00:23:07 EDT 2022
% Result : Unsatisfiable 0.80s 1.19s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL002-4.p',unknown),
[] ).
cnf(2,plain,
equal(apply(apply(A,B),apply(C,B)),apply(apply(apply(s,A),C),B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL002-4.p',unknown),
[] ).
cnf(6,plain,
equal(apply(i,A),A),
file('COL002-4.p',unknown),
[] ).
cnf(7,plain,
equal(weak_fixed_point(A),apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i))),
file('COL002-4.p',unknown),
[] ).
cnf(8,plain,
~ equal(apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7,7]),1]),
[iquote('demod([7,7]),flip(1)')] ).
cnf(29,plain,
equal(apply(apply(A,B),B),apply(apply(apply(s,A),i),B)),
inference(para,[status(thm),theory(equality)],[6,2]),
[iquote('para(6,2)')] ).
cnf(1405,plain,
equal(apply(apply(apply(s,apply(b,A)),i),B),apply(A,apply(B,B))),
inference(para,[status(thm),theory(equality)],[29,3]),
[iquote('para(29,3)')] ).
cnf(1406,plain,
equal(apply(A,apply(B,B)),apply(apply(apply(s,apply(b,A)),i),B)),
inference(flip,[status(thm),theory(equality)],[1405]),
[iquote('flip(1405)')] ).
cnf(1407,plain,
$false,
inference(conflict,[status(thm)],[1406,8]),
[iquote('conflict(1406,8)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL002-4 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n029.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 08:08:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.80/1.19 ----- EQP 0.9e, May 2009 -----
% 0.80/1.19 The job began on n029.cluster.edu, Tue May 31 08:08:00 2022
% 0.80/1.19 The command was "./eqp09e".
% 0.80/1.19
% 0.80/1.19 set(prolog_style_variables).
% 0.80/1.19 set(lrpo).
% 0.80/1.19 set(basic_paramod).
% 0.80/1.19 set(functional_subsume).
% 0.80/1.19 set(ordered_paramod).
% 0.80/1.19 set(prime_paramod).
% 0.80/1.19 set(para_pairs).
% 0.80/1.19 assign(pick_given_ratio,4).
% 0.80/1.19 clear(print_kept).
% 0.80/1.19 clear(print_new_demod).
% 0.80/1.19 clear(print_back_demod).
% 0.80/1.19 clear(print_given).
% 0.80/1.19 assign(max_mem,64000).
% 0.80/1.19 end_of_commands.
% 0.80/1.19
% 0.80/1.19 Usable:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Sos:
% 0.80/1.19 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.80/1.19 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.80/1.19 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.80/1.19 0 (wt=-1) [] apply(i,A) = A.
% 0.80/1.19 0 (wt=-1) [] weak_fixed_point(A) = apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i)).
% 0.80/1.19 0 (wt=-1) [] -(weak_fixed_point(fixed_pt) = apply(fixed_pt,weak_fixed_point(fixed_pt))).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Demodulators:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Passive:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Starting to process input.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.80/1.19 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.80/1.19 3 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.80/1.19 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 0.80/1.19
% 0.80/1.19 ** KEPT: 6 (wt=5) [] apply(i,A) = A.
% 0.80/1.19 6 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 7 (wt=18) [] weak_fixed_point(A) = apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i)).
% 0.80/1.19 7 is a new demodulator.
% 0.80/1.19
% 0.80/1.19 ** KEPT: 8 (wt=33) [demod([7,7]),flip(1)] -(apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) = apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))).
% 0.80/1.19 ---------------- PROOF FOUND ----------------
% 0.80/1.19 % SZS status Unsatisfiable
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 After processing input:
% 0.80/1.19
% 0.80/1.19 Usable:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Sos:
% 0.80/1.19 6 (wt=5) [] apply(i,A) = A.
% 0.80/1.19 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.80/1.19 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.80/1.19 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.80/1.19 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.80/1.19 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.80/1.19 7 (wt=18) [] weak_fixed_point(A) = apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i)).
% 0.80/1.19 8 (wt=33) [demod([7,7]),flip(1)] -(apply(fixed_pt,apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))) = apply(apply(apply(s,apply(b,fixed_pt)),i),apply(apply(s,apply(b,fixed_pt)),i))).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Demodulators:
% 0.80/1.19 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.80/1.19 6 (wt=5) [] apply(i,A) = A.
% 0.80/1.19 7 (wt=18) [] weak_fixed_point(A) = apply(apply(apply(s,apply(b,A)),i),apply(apply(s,apply(b,A)),i)).
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 Passive:
% 0.80/1.19 end_of_list.
% 0.80/1.19
% 0.80/1.19 UNIT CONFLICT from 1406 and 8 at 0.09 seconds.
% 0.80/1.19
% 0.80/1.19 ---------------- PROOF ----------------
% 0.80/1.19 % SZS output start Refutation
% See solution above
% 0.80/1.19 ------------ end of proof -------------
% 0.80/1.19
% 0.80/1.19
% 0.80/1.19 ------------- memory usage ------------
% 0.80/1.19 Memory dynamically allocated (tp_alloc): 2929.
% 0.80/1.19 type (bytes each) gets frees in use avail bytes
% 0.80/1.19 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.80/1.19 term ( 16) 74068 36823 37245 38 722.7 K
% 0.80/1.19 gen_ptr ( 8) 172824 5678 167146 9 1305.9 K
% 0.80/1.19 context ( 808) 66406 66404 2 3 3.9 K
% 0.80/1.19 trail ( 12) 1241 1241 0 4 0.0 K
% 0.80/1.19 bt_node ( 68) 24510 24505 5 8 0.9 K
% 0.80/1.19 ac_position (285432) 0 0 0 0 0.0 K
% 0.80/1.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.80/1.19 ac_match_free_vars_pos (4020)
% 0.80/1.19 0 0 0 0 0.0 K
% 0.80/1.19 discrim ( 12) 24272 1331 22941 0 268.8 K
% 0.80/1.19 flat ( 40) 211805 211805 0 73 2.9 K
% 0.80/1.19 discrim_pos ( 12) 1105 1105 0 1 0.0 K
% 0.80/1.19 fpa_head ( 12) 1753 0 1753 0 20.5 K
% 0.80/1.19 fpa_tree ( 28) 5633 5633 0 61 1.7 K
% 0.80/1.19 fpa_pos ( 36) 1704 1704 0 1 0.0 K
% 0.80/1.19 literal ( 12) 4558 3152 1406 1 16.5 K
% 0.80/1.19 clause ( 24) 4558 3152 1406 1 33.0 K
% 0.80/1.19 list ( 12) 357 301 56 3 0.7 K
% 0.80/1.19 list_pos ( 20) 4694 389 4305 0 84.1 K
% 0.80/1.19 pair_index ( 40) 2 0 2 0 0.1 K
% 0.80/1.19
% 0.80/1.19 -------------- statistics -------------
% 0.80/1.19 Clauses input 6
% 0.80/1.19 Usable input 0
% 0.80/1.19 Sos input 6
% 0.80/1.19 Demodulators input 0
% 0.80/1.19 Passive input 0
% 0.80/1.19
% 0.80/1.19 Processed BS (before search) 10
% 0.80/1.19 Forward subsumed BS 2
% 0.80/1.19 Kept BS 8
% 0.80/1.19 New demodulators BS 3
% 0.80/1.19 Back demodulated BS 0
% 0.80/1.19
% 0.80/1.19 Clauses or pairs given 1261
% 0.80/1.19 Clauses generated 2289
% 0.80/1.19 Forward subsumed 891
% 0.80/1.19 Deleted by weight 0
% 0.80/1.19 Deleted by variable count 0
% 0.80/1.19 Kept 1398
% 0.80/1.19 New demodulators 295
% 0.80/1.19 Back demodulated 87
% 0.80/1.19 Ordered paramod prunes 0
% 0.80/1.19 Basic paramod prunes 5564
% 0.80/1.19 Prime paramod prunes 5
% 0.80/1.19 Semantic prunes 0
% 0.80/1.19
% 0.80/1.19 Rewrite attmepts 40706
% 0.80/1.19 Rewrites 399
% 0.80/1.19
% 0.80/1.19 FPA overloads 0
% 0.80/1.19 FPA underloads 0
% 0.80/1.19
% 0.80/1.19 Usable size 0
% 0.80/1.19 Sos size 1318
% 0.80/1.19 Demodulators size 264
% 0.80/1.19 Passive size 0
% 0.80/1.19 Disabled size 87
% 0.80/1.19
% 0.80/1.19 Proofs found 1
% 0.80/1.19
% 0.80/1.19 ----------- times (seconds) ----------- Tue May 31 08:08:00 2022
% 0.80/1.19
% 0.80/1.19 user CPU time 0.09 (0 hr, 0 min, 0 sec)
% 0.80/1.19 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.80/1.19 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.80/1.19 input time 0.00
% 0.80/1.19 paramodulation time 0.01
% 0.80/1.19 demodulation time 0.02
% 0.80/1.19 orient time 0.01
% 0.80/1.19 weigh time 0.00
% 0.80/1.19 forward subsume time 0.01
% 0.80/1.19 back demod find time 0.00
% 0.80/1.19 conflict time 0.00
% 0.80/1.19 LRPO time 0.01
% 0.80/1.19 store clause time 0.02
% 0.80/1.19 disable clause time 0.00
% 0.80/1.19 prime paramod time 0.00
% 0.80/1.19 semantics time 0.00
% 0.80/1.19
% 0.80/1.19 EQP interrupted
%------------------------------------------------------------------------------