TSTP Solution File: COL004-3 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL004-3 : 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 00:23:09 EDT 2022
% Result : Unsatisfiable 0.41s 1.07s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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; 4 con; 0-2 aty)
% Number of variables : 19 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL004-3.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(k,A),B),A),
file('COL004-3.p',unknown),
[] ).
cnf(4,plain,
~ equal(apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y),apply(y,apply(apply(x,x),y))),
file('COL004-3.p',unknown),
[] ).
cnf(5,plain,
equal(apply(apply(apply(s,k),A),B),B),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(6,plain,
equal(apply(apply(apply(s,apply(k,A)),B),C),apply(A,apply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,2]),1]),
[iquote('para(3,2),flip(1)')] ).
cnf(7,plain,
~ equal(apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k)),x)),y),apply(y,apply(apply(x,x),y))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4]),6]),
[iquote('back_demod(4),demod([6])')] ).
cnf(20,plain,
equal(apply(A,apply(B,A)),apply(apply(apply(s,apply(apply(s,k),C)),B),A)),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(21,plain,
equal(apply(apply(apply(s,apply(apply(s,k),A)),B),C),apply(C,apply(B,C))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(39,plain,
~ equal(apply(apply(apply(s,apply(apply(s,k),k)),apply(x,x)),y),apply(y,apply(apply(x,x),y))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),5,5]),
[iquote('para(1,7),demod([5,5])')] ).
cnf(40,plain,
$false,
inference(conflict,[status(thm)],[39,21]),
[iquote('conflict(39,21)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue May 31 13:00:17 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.41/1.07 ----- EQP 0.9e, May 2009 -----
% 0.41/1.07 The job began on n027.cluster.edu, Tue May 31 13:00:18 2022
% 0.41/1.07 The command was "./eqp09e".
% 0.41/1.07
% 0.41/1.07 set(prolog_style_variables).
% 0.41/1.07 set(lrpo).
% 0.41/1.07 set(basic_paramod).
% 0.41/1.07 set(functional_subsume).
% 0.41/1.07 set(ordered_paramod).
% 0.41/1.07 set(prime_paramod).
% 0.41/1.07 set(para_pairs).
% 0.41/1.07 assign(pick_given_ratio,4).
% 0.41/1.07 clear(print_kept).
% 0.41/1.07 clear(print_new_demod).
% 0.41/1.07 clear(print_back_demod).
% 0.41/1.07 clear(print_given).
% 0.41/1.07 assign(max_mem,64000).
% 0.41/1.07 end_of_commands.
% 0.41/1.07
% 0.41/1.07 Usable:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Sos:
% 0.41/1.07 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.41/1.07 0 (wt=-1) [] apply(apply(k,A),B) = A.
% 0.41/1.07 0 (wt=-1) [] -(apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) = apply(y,apply(apply(x,x),y))).
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Demodulators:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Passive:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Starting to process input.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.41/1.07
% 0.41/1.07 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.41/1.07 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.41/1.07
% 0.41/1.07 ** KEPT: 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.41/1.07 3 is a new demodulator.
% 0.41/1.07
% 0.41/1.07 ** KEPT: 4 (wt=37) [] -(apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) = apply(y,apply(apply(x,x),y))).
% 0.41/1.07 ---------------- PROOF FOUND ----------------
% 0.41/1.07 % SZS status Unsatisfiable
% 0.41/1.07
% 0.41/1.07
% 0.41/1.07 After processing input:
% 0.41/1.07
% 0.41/1.07 Usable:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Sos:
% 0.41/1.07 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.41/1.07 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.41/1.07 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.41/1.07 4 (wt=37) [] -(apply(apply(apply(apply(s,apply(k,apply(s,apply(apply(s,k),k)))),apply(apply(s,apply(apply(s,k),k)),apply(apply(s,k),k))),x),y) = apply(y,apply(apply(x,x),y))).
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Demodulators:
% 0.41/1.07 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 Passive:
% 0.41/1.07 end_of_list.
% 0.41/1.07
% 0.41/1.07 UNIT CONFLICT from 39 and 21 at 0.00 seconds.
% 0.41/1.07
% 0.41/1.07 ---------------- PROOF ----------------
% 0.41/1.08 % SZS output start Refutation
% See solution above
% 0.41/1.08 ------------ end of proof -------------
% 0.41/1.08
% 0.41/1.08
% 0.41/1.08 ------------- memory usage ------------
% 0.41/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.41/1.08 type (bytes each) gets frees in use avail bytes
% 0.41/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.41/1.08 term ( 16) 2479 1712 767 38 15.6 K
% 0.41/1.08 gen_ptr ( 8) 3263 243 3020 10 23.7 K
% 0.41/1.08 context ( 808) 1581 1579 2 2 3.2 K
% 0.41/1.08 trail ( 12) 29 29 0 3 0.0 K
% 0.41/1.08 bt_node ( 68) 768 761 7 3 0.7 K
% 0.41/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.41/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.41/1.08 ac_match_free_vars_pos (4020)
% 0.41/1.08 0 0 0 0 0.0 K
% 0.41/1.08 discrim ( 12) 570 37 533 0 6.2 K
% 0.41/1.08 flat ( 40) 3820 3820 0 25 1.0 K
% 0.41/1.08 discrim_pos ( 12) 35 35 0 1 0.0 K
% 0.41/1.08 fpa_head ( 12) 331 0 331 0 3.9 K
% 0.41/1.08 fpa_tree ( 28) 157 157 0 43 1.2 K
% 0.41/1.08 fpa_pos ( 36) 47 47 0 1 0.0 K
% 0.41/1.08 literal ( 12) 129 90 39 0 0.5 K
% 0.41/1.08 clause ( 24) 129 90 39 0 0.9 K
% 0.41/1.08 list ( 12) 67 11 56 3 0.7 K
% 0.41/1.08 list_pos ( 20) 127 7 120 0 2.3 K
% 0.41/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.41/1.08
% 0.41/1.08 -------------- statistics -------------
% 0.41/1.08 Clauses input 3
% 0.41/1.08 Usable input 0
% 0.41/1.08 Sos input 3
% 0.41/1.08 Demodulators input 0
% 0.41/1.08 Passive input 0
% 0.41/1.08
% 0.41/1.08 Processed BS (before search) 5
% 0.41/1.08 Forward subsumed BS 1
% 0.41/1.08 Kept BS 4
% 0.41/1.08 New demodulators BS 1
% 0.41/1.08 Back demodulated BS 0
% 0.41/1.08
% 0.41/1.08 Clauses or pairs given 35
% 0.41/1.08 Clauses generated 68
% 0.41/1.08 Forward subsumed 33
% 0.41/1.08 Deleted by weight 0
% 0.41/1.08 Deleted by variable count 0
% 0.41/1.08 Kept 35
% 0.41/1.08 New demodulators 7
% 0.41/1.08 Back demodulated 1
% 0.41/1.08 Ordered paramod prunes 0
% 0.41/1.08 Basic paramod prunes 77
% 0.41/1.08 Prime paramod prunes 0
% 0.41/1.08 Semantic prunes 0
% 0.41/1.08
% 0.41/1.08 Rewrite attmepts 861
% 0.41/1.08 Rewrites 18
% 0.41/1.08
% 0.41/1.08 FPA overloads 0
% 0.41/1.08 FPA underloads 0
% 0.41/1.08
% 0.41/1.08 Usable size 0
% 0.41/1.08 Sos size 37
% 0.41/1.08 Demodulators size 8
% 0.41/1.08 Passive size 0
% 0.41/1.08 Disabled size 1
% 0.41/1.08
% 0.41/1.08 Proofs found 1
% 0.41/1.08
% 0.41/1.08 ----------- times (seconds) ----------- Tue May 31 13:00:18 2022
% 0.41/1.08
% 0.41/1.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.41/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.41/1.08 input time 0.00
% 0.41/1.08 paramodulation time 0.00
% 0.41/1.08 demodulation time 0.00
% 0.41/1.08 orient time 0.00
% 0.41/1.08 weigh time 0.00
% 0.41/1.08 forward subsume time 0.00
% 0.41/1.08 back demod find time 0.00
% 0.41/1.08 conflict time 0.00
% 0.41/1.08 LRPO time 0.00
% 0.41/1.08 store clause time 0.00
% 0.41/1.08 disable clause time 0.00
% 0.41/1.08 prime paramod time 0.00
% 0.41/1.08 semantics time 0.00
% 0.41/1.08
% 0.41/1.08 EQP interrupted
%------------------------------------------------------------------------------