TSTP Solution File: COL034-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n027.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 00:23:13 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL034-1.p',unknown),
[] ).
cnf(2,plain,
equal(apply(m,A),apply(A,A)),
file('COL034-1.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(t,A),B),apply(B,A)),
file('COL034-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(A,B),apply(apply(t,B),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(27,plain,
equal(apply(apply(apply(t,A),apply(b,B)),C),apply(B,apply(A,C))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(31,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(104,plain,
equal(apply(A,apply(B,apply(apply(t,B),apply(b,A)))),apply(m,apply(apply(t,B),apply(b,A)))),
inference(para,[status(thm),theory(equality)],[27,3]),
[iquote('para(27,3)')] ).
cnf(364,plain,
~ equal(apply(f(apply(apply(b,A),apply(apply(b,B),C))),apply(A,apply(B,apply(C,f(apply(apply(b,A),apply(apply(b,B),C))))))),apply(A,apply(B,apply(C,f(apply(apply(b,A),apply(apply(b,B),C))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,31]),1]),
[iquote('para(1,31),demod([1])')] ).
cnf(365,plain,
$false,
inference(conflict,[status(thm)],[364,104]),
[iquote('conflict(364,104)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n027.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 09:13:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.10 ----- EQP 0.9e, May 2009 -----
% 0.71/1.10 The job began on n027.cluster.edu, Tue May 31 09:13:18 2022
% 0.71/1.10 The command was "./eqp09e".
% 0.71/1.10
% 0.71/1.10 set(prolog_style_variables).
% 0.71/1.10 set(lrpo).
% 0.71/1.10 set(basic_paramod).
% 0.71/1.10 set(functional_subsume).
% 0.71/1.10 set(ordered_paramod).
% 0.71/1.10 set(prime_paramod).
% 0.71/1.10 set(para_pairs).
% 0.71/1.10 assign(pick_given_ratio,4).
% 0.71/1.10 clear(print_kept).
% 0.71/1.10 clear(print_new_demod).
% 0.71/1.10 clear(print_back_demod).
% 0.71/1.10 clear(print_given).
% 0.71/1.10 assign(max_mem,64000).
% 0.71/1.10 end_of_commands.
% 0.71/1.10
% 0.71/1.10 Usable:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Sos:
% 0.71/1.10 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.10 0 (wt=-1) [] apply(m,A) = apply(A,A).
% 0.71/1.10 0 (wt=-1) [] apply(apply(t,A),B) = apply(B,A).
% 0.71/1.10 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Demodulators:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Passive:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Starting to process input.
% 0.71/1.10
% 0.71/1.10 ** KEPT: 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.10 1 is a new demodulator.
% 0.71/1.10
% 0.71/1.10 ** KEPT: 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.71/1.10
% 0.71/1.10 ** KEPT: 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.71/1.10 clause forward subsumed: 0 (wt=7) [flip(3)] apply(m,A) = apply(A,A).
% 0.71/1.10
% 0.71/1.10 ** KEPT: 4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.71/1.10
% 0.71/1.10 ** KEPT: 5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.71/1.10 clause forward subsumed: 0 (wt=9) [flip(5)] apply(apply(t,B),A) = apply(A,B).
% 0.71/1.10
% 0.71/1.10 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.71/1.10 ---------------- PROOF FOUND ----------------
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 After processing input:
% 0.71/1.10
% 0.71/1.10 Usable:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Sos:
% 0.71/1.10 2 (wt=7) [] apply(m,A) = apply(A,A).
% 0.71/1.10 3 (wt=7) [flip(2)] apply(A,A) = apply(m,A).
% 0.71/1.10 4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.71/1.10 5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.71/1.10 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.71/1.10 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Demodulators:
% 0.71/1.10 1 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Passive:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 UNIT CONFLICT from 364 and 104 at 0.02 seconds.
% 0.71/1.10
% 0.71/1.10 ---------------- PROOF ----------------
% 0.71/1.10 % SZS output start Refutation
% See solution above
% 0.71/1.10 ------------ end of proof -------------
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 ------------- memory usage ------------
% 0.71/1.10 Memory dynamically allocated (tp_alloc): 976.
% 0.71/1.10 type (bytes each) gets frees in use avail bytes
% 0.71/1.10 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.71/1.10 term ( 16) 22545 15774 6771 45 131.7 K
% 0.71/1.10 gen_ptr ( 8) 30468 3195 27273 10 213.1 K
% 0.71/1.10 context ( 808) 24707 24705 2 4 4.7 K
% 0.71/1.10 trail ( 12) 930 930 0 5 0.1 K
% 0.71/1.10 bt_node ( 68) 11139 11136 3 6 0.6 K
% 0.71/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.10 ac_match_free_vars_pos (4020)
% 0.71/1.10 0 0 0 0 0.0 K
% 0.71/1.10 discrim ( 12) 4409 133 4276 0 50.1 K
% 0.71/1.10 flat ( 40) 54179 54179 0 31 1.2 K
% 0.71/1.10 discrim_pos ( 12) 855 855 0 1 0.0 K
% 0.71/1.10 fpa_head ( 12) 887 0 887 0 10.4 K
% 0.71/1.10 fpa_tree ( 28) 2486 2486 0 23 0.6 K
% 0.71/1.10 fpa_pos ( 36) 495 495 0 1 0.0 K
% 0.71/1.10 literal ( 12) 1522 1158 364 1 4.3 K
% 0.71/1.10 clause ( 24) 1522 1158 364 1 8.6 K
% 0.71/1.10 list ( 12) 190 134 56 3 0.7 K
% 0.71/1.10 list_pos ( 20) 1258 85 1173 0 22.9 K
% 0.71/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.10
% 0.71/1.10 -------------- statistics -------------
% 0.71/1.10 Clauses input 4
% 0.71/1.10 Usable input 0
% 0.71/1.10 Sos input 4
% 0.71/1.10 Demodulators input 0
% 0.71/1.10 Passive input 0
% 0.71/1.10
% 0.71/1.10 Processed BS (before search) 8
% 0.71/1.10 Forward subsumed BS 2
% 0.71/1.10 Kept BS 6
% 0.71/1.10 New demodulators BS 1
% 0.71/1.10 Back demodulated BS 0
% 0.71/1.10
% 0.71/1.10 Clauses or pairs given 915
% 0.71/1.10 Clauses generated 880
% 0.71/1.10 Forward subsumed 522
% 0.71/1.10 Deleted by weight 0
% 0.71/1.10 Deleted by variable count 0
% 0.71/1.10 Kept 358
% 0.71/1.10 New demodulators 130
% 0.71/1.10 Back demodulated 17
% 0.71/1.10 Ordered paramod prunes 0
% 0.71/1.10 Basic paramod prunes 3381
% 0.71/1.10 Prime paramod prunes 2
% 0.71/1.10 Semantic prunes 0
% 0.71/1.10
% 0.71/1.10 Rewrite attmepts 12749
% 0.71/1.10 Rewrites 596
% 0.71/1.10
% 0.71/1.10 FPA overloads 0
% 0.71/1.10 FPA underloads 0
% 0.71/1.10
% 0.71/1.10 Usable size 0
% 0.71/1.10 Sos size 346
% 0.71/1.10 Demodulators size 118
% 0.71/1.10 Passive size 0
% 0.71/1.10 Disabled size 17
% 0.71/1.10
% 0.71/1.10 Proofs found 1
% 0.71/1.10
% 0.71/1.10 ----------- times (seconds) ----------- Tue May 31 09:13:18 2022
% 0.71/1.10
% 0.71/1.10 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.71/1.10 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.71/1.10 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.10 input time 0.00
% 0.71/1.10 paramodulation time 0.00
% 0.71/1.10 demodulation time 0.00
% 0.71/1.10 orient time 0.00
% 0.71/1.10 weigh time 0.00
% 0.71/1.10 forward subsume time 0.00
% 0.71/1.10 back demod find time 0.00
% 0.71/1.10 conflict time 0.00
% 0.71/1.10 LRPO time 0.00
% 0.71/1.10 store clause time 0.00
% 0.71/1.10 disable clause time 0.00
% 0.71/1.10 prime paramod time 0.00
% 0.71/1.10 semantics time 0.00
% 0.71/1.10
% 0.71/1.10 EQP interrupted
%------------------------------------------------------------------------------