%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:23:16 EDT 2022
% Result : Unsatisfiable 6.82s 7.18s
% Output : Refutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 4 RR)
% Number of literals : 23 ( 0 equ; 3 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 : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL046-1.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('COL046-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(m,A),apply(A,A)),
file('COL046-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(A,A),apply(m,A)),
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(29,plain,
equal(apply(apply(A,B),apply(B,B)),apply(apply(apply(s,A),m),B)),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(30,plain,
equal(apply(apply(apply(s,A),m),B),apply(apply(A,B),apply(B,B))),
inference(flip,[status(thm),theory(equality)],[29]),
[iquote('flip(29)')] ).
cnf(38,plain,
equal(apply(apply(apply(s,A),A),B),apply(m,apply(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,2]),1]),
[iquote('para(5,2),flip(1)')] ).
cnf(42,plain,
equal(apply(apply(A,apply(B,C)),apply(D,C)),apply(apply(apply(s,apply(apply(b,A),B)),D),C)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(48,plain,
equal(apply(apply(apply(apply(s,b),A),B),C),apply(B,apply(apply(A,B),C))),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(54,plain,
~ equal(apply(f(apply(apply(s,A),B)),apply(apply(A,f(apply(apply(s,A),B))),apply(B,f(apply(apply(s,A),B))))),apply(apply(apply(s,A),B),f(apply(apply(s,A),B)))),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(93,plain,
equal(apply(A,apply(apply(B,A),apply(apply(apply(s,b),B),A))),apply(m,apply(apply(apply(s,b),B),A))),
inference(para,[status(thm),theory(equality)],[48,5]),
[iquote('para(48,5)')] ).
cnf(390,plain,
equal(apply(apply(A,apply(B,B)),apply(C,B)),apply(apply(apply(s,apply(apply(b,A),m)),C),B)),
inference(para,[status(thm),theory(equality)],[4,42]),
[iquote('para(4,42)')] ).
cnf(391,plain,
equal(apply(apply(apply(s,apply(apply(b,A),m)),B),C),apply(apply(A,apply(C,C)),apply(B,C))),
inference(flip,[status(thm),theory(equality)],[390]),
[iquote('flip(390)')] ).
cnf(12266,plain,
~ equal(apply(apply(apply(s,A),apply(apply(s,b),A)),f(apply(apply(s,A),apply(apply(s,b),A)))),apply(m,apply(apply(apply(s,b),A),f(apply(apply(s,A),apply(apply(s,b),A)))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[93,54]),1]),
[iquote('para(93,54),flip(1)')] ).
cnf(17836,plain,
equal(apply(apply(A,apply(B,B)),apply(m,B)),apply(apply(A,apply(m,B)),apply(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[391,30]),3]),
[iquote('para(391,30),demod([3])')] ).
cnf(17854,plain,
equal(apply(apply(apply(s,apply(m,A)),apply(A,A)),B),apply(apply(apply(A,A),B),apply(apply(m,A),B))),
inference(para,[status(thm),theory(equality)],[17836,1]),
[iquote('para(17836,1)')] ).
cnf(17855,plain,
equal(apply(apply(apply(A,A),B),apply(apply(m,A),B)),apply(apply(apply(s,apply(m,A)),apply(A,A)),B)),
inference(flip,[status(thm),theory(equality)],[17854]),
[iquote('flip(17854)')] ).
cnf(17861,plain,
equal(apply(apply(apply(A,A),B),apply(apply(m,A),B)),apply(m,apply(apply(A,A),B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,17854]),38]),1]),
[iquote('para(4,17854),demod([38]),flip(1)')] ).
cnf(17862,plain,
equal(apply(apply(apply(s,apply(m,A)),apply(A,A)),B),apply(m,apply(apply(A,A),B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17855]),17861]),1]),
[iquote('back_demod(17855),demod([17861]),flip(1)')] ).
cnf(18095,plain,
equal(apply(apply(apply(s,apply(m,apply(apply(b,A),B))),apply(A,apply(B,apply(apply(b,A),B)))),C),apply(m,apply(apply(A,apply(B,apply(apply(b,A),B))),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,17862]),3]),
[iquote('para(3,17862),demod([3])')] ).
cnf(18096,plain,
$false,
inference(conflict,[status(thm)],[18095,12266]),
[iquote('conflict(18095,12266)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n028.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 13:51:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.82/7.18 ----- EQP 0.9e, May 2009 -----
% 6.82/7.18 The job began on n028.cluster.edu, Tue May 31 13:51:36 2022
% 6.82/7.18 The command was "./eqp09e".
% 6.82/7.18
% 6.82/7.18 set(prolog_style_variables).
% 6.82/7.18 set(lrpo).
% 6.82/7.18 set(basic_paramod).
% 6.82/7.18 set(functional_subsume).
% 6.82/7.18 set(ordered_paramod).
% 6.82/7.18 set(prime_paramod).
% 6.82/7.18 set(para_pairs).
% 6.82/7.18 assign(pick_given_ratio,4).
% 6.82/7.18 clear(print_kept).
% 6.82/7.18 clear(print_new_demod).
% 6.82/7.18 clear(print_back_demod).
% 6.82/7.18 clear(print_given).
% 6.82/7.18 assign(max_mem,64000).
% 6.82/7.18 end_of_commands.
% 6.82/7.18
% 6.82/7.18 Usable:
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Sos:
% 6.82/7.18 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 6.82/7.18 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 6.82/7.18 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 6.82/7.18 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Demodulators:
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Passive:
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Starting to process input.
% 6.82/7.18
% 6.82/7.18 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 6.82/7.18
% 6.82/7.18 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 6.82/7.18 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 6.82/7.18
% 6.82/7.18 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 6.82/7.18 3 is a new demodulator.
% 6.82/7.18
% 6.82/7.18 ** KEPT: 4 (wt=7) [] apply(m,A) = apply(A,A).
% 6.82/7.18
% 6.82/7.18 ** KEPT: 5 (wt=7) [flip(4)] apply(A,A) = apply(m,A).
% 6.82/7.18 clause forward subsumed: 0 (wt=7) [flip(5)] apply(m,A) = apply(A,A).
% 6.82/7.18
% 6.82/7.18 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 6.82/7.18 ---------------- PROOF FOUND ----------------
% 6.82/7.18 % SZS status Unsatisfiable
% 6.82/7.18
% 6.82/7.18
% 6.82/7.18 After processing input:
% 6.82/7.18
% 6.82/7.18 Usable:
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Sos:
% 6.82/7.18 4 (wt=7) [] apply(m,A) = apply(A,A).
% 6.82/7.18 5 (wt=7) [flip(4)] apply(A,A) = apply(m,A).
% 6.82/7.18 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 6.82/7.18 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 6.82/7.18 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 6.82/7.18 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Demodulators:
% 6.82/7.18 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 Passive:
% 6.82/7.18 end_of_list.
% 6.82/7.18
% 6.82/7.18 UNIT CONFLICT from 18095 and 12266 at 5.67 seconds.
% 6.82/7.18
% 6.82/7.18 ---------------- PROOF ----------------
% 6.82/7.18 % SZS output start Refutation
% See solution above
% 6.82/7.18 ------------ end of proof -------------
% 6.82/7.18
% 6.82/7.18
% 6.82/7.18 ------------- memory usage ------------
% 6.82/7.18 Memory dynamically allocated (tp_alloc): 48828.
% 6.82/7.18 type (bytes each) gets frees in use avail bytes
% 6.82/7.18 sym_ent ( 96) 56 0 56 0 5.2 K
% 6.82/7.18 term ( 16) 1929763 1267929 661834 42 12856.6 K
% 6.82/7.18 gen_ptr ( 8) 3496294 156036 3340258 32 26096.0 K
% 6.82/7.18 context ( 808) 1716815 1716813 2 5 5.5 K
% 6.82/7.18 trail ( 12) 63931 63931 0 7 0.1 K
% 6.82/7.18 bt_node ( 68) 414137 414134 3 23 1.7 K
% 6.82/7.18 ac_position (285432) 0 0 0 0 0.0 K
% 6.82/7.18 ac_match_pos (14044) 0 0 0 0 0.0 K
% 6.82/7.18 ac_match_free_vars_pos (4020)
% 6.82/7.18 0 0 0 0 0.0 K
% 6.82/7.18 discrim ( 12) 512936 29320 483616 2128 5692.3 K
% 6.82/7.18 flat ( 40) 7004499 7004499 0 103 4.0 K
% 6.82/7.18 discrim_pos ( 12) 41427 41427 0 1 0.0 K
% 6.82/7.18 fpa_head ( 12) 7109 0 7109 0 83.3 K
% 6.82/7.18 fpa_tree ( 28) 244096 244096 0 85 2.3 K
% 6.82/7.18 fpa_pos ( 36) 22806 22806 0 1 0.0 K
% 6.82/7.18 literal ( 12) 80853 62758 18095 1 212.1 K
% 6.82/7.18 clause ( 24) 80853 62758 18095 1 424.1 K
% 6.82/7.18 list ( 12) 4770 4714 56 4 0.7 K
% 6.82/7.18 list_pos ( 20) 60991 4456 56535 65 1105.5 K
% 6.82/7.18 pair_index ( 40) 2 0 2 0 0.1 K
% 6.82/7.18
% 6.82/7.18 -------------- statistics -------------
% 6.82/7.18 Clauses input 4
% 6.82/7.18 Usable input 0
% 6.82/7.18 Sos input 4
% 6.82/7.18 Demodulators input 0
% 6.82/7.18 Passive input 0
% 6.82/7.18
% 6.82/7.18 Processed BS (before search) 8
% 6.82/7.18 Forward subsumed BS 2
% 6.82/7.18 Kept BS 6
% 6.82/7.18 New demodulators BS 1
% 6.82/7.18 Back demodulated BS 0
% 6.82/7.18
% 6.82/7.18 Clauses or pairs given 22194
% 6.82/7.18 Clauses generated 39635
% 6.82/7.18 Forward subsumed 21546
% 6.82/7.18 Deleted by weight 0
% 6.82/7.18 Deleted by variable count 0
% 6.82/7.18 Kept 18089
% 6.82/7.18 New demodulators 4710
% 6.82/7.18 Back demodulated 989
% 6.82/7.18 Ordered paramod prunes 0
% 6.82/7.18 Basic paramod prunes 104498
% 6.82/7.18 Prime paramod prunes 447
% 6.82/7.18 Semantic prunes 0
% 6.82/7.18
% 6.82/7.18 Rewrite attmepts 1189864
% 6.82/7.18 Rewrites 24743
% 6.82/7.18
% 6.82/7.18 FPA overloads 0
% 6.82/7.18 FPA underloads 0
% 6.82/7.18
% 6.82/7.18 Usable size 0
% 6.82/7.18 Sos size 17105
% 6.82/7.18 Demodulators size 4231
% 6.82/7.18 Passive size 0
% 6.82/7.18 Disabled size 989
% 6.82/7.18
% 6.82/7.18 Proofs found 1
% 6.82/7.18
% 6.82/7.18 ----------- times (seconds) ----------- Tue May 31 13:51:43 2022
% 6.82/7.18
% 6.82/7.18 user CPU time 5.67 (0 hr, 0 min, 5 sec)
% 6.82/7.18 system CPU time 0.44 (0 hr, 0 min, 0 sec)
% 6.82/7.18 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 6.82/7.18 input time 0.00
% 6.82/7.18 paramodulation time 0.20
% 6.82/7.18 demodulation time 0.40
% 6.82/7.18 orient time 0.12
% 6.82/7.18 weigh time 0.04
% 6.82/7.18 forward subsume time 0.19
% 6.82/7.18 back demod find time 1.47
% 6.82/7.18 conflict time 0.40
% 6.82/7.18 LRPO time 0.07
% 6.82/7.18 store clause time 2.50
% 6.82/7.18 disable clause time 0.15
% 6.82/7.18 prime paramod time 0.07
% 6.82/7.18 semantics time 0.00
% 6.82/7.18
% 6.82/7.18 EQP interrupted
%------------------------------------------------------------------------------