TSTP Solution File: COL001-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n024.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 0.47s 1.11s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 3 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL001-1.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(k,A),B),A),
file('COL001-1.p',unknown),
[] ).
cnf(4,plain,
~ equal(apply(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
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(A,B),C),apply(apply(apply(s,A),apply(k,C)),B)),
inference(para,[status(thm),theory(equality)],[3,2]),
[iquote('para(3,2)')] ).
cnf(8,plain,
equal(apply(apply(apply(s,A),apply(k,B)),C),apply(apply(A,C),B)),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(31,plain,
equal(apply(A,apply(B,apply(C,B))),apply(apply(apply(s,apply(s,apply(k,A))),C),B)),
inference(para,[status(thm),theory(equality)],[6,2]),
[iquote('para(6,2)')] ).
cnf(58,plain,
~ equal(apply(apply(apply(s,apply(s,apply(k,combinator))),A),B),apply(B,apply(A,B))),
inference(para,[status(thm),theory(equality)],[31,4]),
[iquote('para(31,4)')] ).
cnf(59,plain,
~ equal(apply(A,apply(B,A)),apply(apply(apply(s,apply(s,apply(k,combinator))),B),A)),
inference(flip,[status(thm),theory(equality)],[58]),
[iquote('flip(58)')] ).
cnf(74,plain,
equal(apply(apply(apply(s,apply(s,A)),apply(k,B)),apply(k,C)),apply(apply(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,7]),1]),
[iquote('para(8,7),flip(1)')] ).
cnf(75,plain,
$false,
inference(conflict,[status(thm)],[74,59]),
[iquote('conflict(74,59)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 15:54:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.47/1.11 ----- EQP 0.9e, May 2009 -----
% 0.47/1.11 The job began on n024.cluster.edu, Tue May 31 15:54:22 2022
% 0.47/1.11 The command was "./eqp09e".
% 0.47/1.11
% 0.47/1.11 set(prolog_style_variables).
% 0.47/1.11 set(lrpo).
% 0.47/1.11 set(basic_paramod).
% 0.47/1.11 set(functional_subsume).
% 0.47/1.11 set(ordered_paramod).
% 0.47/1.11 set(prime_paramod).
% 0.47/1.11 set(para_pairs).
% 0.47/1.11 assign(pick_given_ratio,4).
% 0.47/1.11 clear(print_kept).
% 0.47/1.11 clear(print_new_demod).
% 0.47/1.11 clear(print_back_demod).
% 0.47/1.11 clear(print_given).
% 0.47/1.11 assign(max_mem,64000).
% 0.47/1.11 end_of_commands.
% 0.47/1.11
% 0.47/1.11 Usable:
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Sos:
% 0.47/1.11 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.47/1.11 0 (wt=-1) [] apply(apply(k,A),B) = A.
% 0.47/1.11 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Demodulators:
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Passive:
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Starting to process input.
% 0.47/1.11
% 0.47/1.11 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.47/1.11
% 0.47/1.11 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.47/1.11 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.47/1.11
% 0.47/1.11 ** KEPT: 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.47/1.11 3 is a new demodulator.
% 0.47/1.11
% 0.47/1.11 ** KEPT: 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.47/1.11 ---------------- PROOF FOUND ----------------
% 0.47/1.11 % SZS status Unsatisfiable
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 After processing input:
% 0.47/1.11
% 0.47/1.11 Usable:
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Sos:
% 0.47/1.11 4 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.47/1.11 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.47/1.11 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.47/1.11 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Demodulators:
% 0.47/1.11 3 (wt=7) [] apply(apply(k,A),B) = A.
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 Passive:
% 0.47/1.11 end_of_list.
% 0.47/1.11
% 0.47/1.11 UNIT CONFLICT from 74 and 59 at 0.00 seconds.
% 0.47/1.11
% 0.47/1.11 ---------------- PROOF ----------------
% 0.47/1.11 % SZS output start Refutation
% See solution above
% 0.47/1.11 ------------ end of proof -------------
% 0.47/1.11
% 0.47/1.11
% 0.47/1.11 ------------- memory usage ------------
% 0.47/1.11 Memory dynamically allocated (tp_alloc): 488.
% 0.47/1.11 type (bytes each) gets frees in use avail bytes
% 0.47/1.11 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.47/1.11 term ( 16) 3539 2101 1438 20 28.2 K
% 0.47/1.11 gen_ptr ( 8) 5860 245 5615 11 44.0 K
% 0.47/1.11 context ( 808) 2688 2686 2 2 3.2 K
% 0.47/1.11 trail ( 12) 433 433 0 6 0.1 K
% 0.47/1.11 bt_node ( 68) 1084 1079 5 5 0.7 K
% 0.47/1.11 ac_position (285432) 0 0 0 0 0.0 K
% 0.47/1.11 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.47/1.11 ac_match_free_vars_pos (4020)
% 0.47/1.11 0 0 0 0 0.0 K
% 0.47/1.11 discrim ( 12) 976 0 976 0 11.4 K
% 0.47/1.11 flat ( 40) 7451 7451 0 25 1.0 K
% 0.47/1.11 discrim_pos ( 12) 57 57 0 1 0.0 K
% 0.47/1.11 fpa_head ( 12) 281 0 281 0 3.3 K
% 0.47/1.11 fpa_tree ( 28) 395 395 0 25 0.7 K
% 0.47/1.11 fpa_pos ( 36) 85 85 0 1 0.0 K
% 0.47/1.11 literal ( 12) 239 165 74 1 0.9 K
% 0.47/1.11 clause ( 24) 239 165 74 1 1.8 K
% 0.47/1.11 list ( 12) 70 14 56 3 0.7 K
% 0.47/1.11 list_pos ( 20) 233 3 230 0 4.5 K
% 0.47/1.11 pair_index ( 40) 2 0 2 0 0.1 K
% 0.47/1.11
% 0.47/1.11 -------------- statistics -------------
% 0.47/1.11 Clauses input 3
% 0.47/1.11 Usable input 0
% 0.47/1.11 Sos input 3
% 0.47/1.11 Demodulators input 0
% 0.47/1.11 Passive input 0
% 0.47/1.11
% 0.47/1.11 Processed BS (before search) 5
% 0.47/1.11 Forward subsumed BS 1
% 0.47/1.11 Kept BS 4
% 0.47/1.11 New demodulators BS 1
% 0.47/1.11 Back demodulated BS 0
% 0.47/1.11
% 0.47/1.11 Clauses or pairs given 80
% 0.47/1.11 Clauses generated 126
% 0.47/1.11 Forward subsumed 56
% 0.47/1.11 Deleted by weight 0
% 0.47/1.11 Deleted by variable count 0
% 0.47/1.11 Kept 70
% 0.47/1.11 New demodulators 10
% 0.47/1.11 Back demodulated 0
% 0.47/1.11 Ordered paramod prunes 0
% 0.47/1.11 Basic paramod prunes 118
% 0.47/1.11 Prime paramod prunes 0
% 0.47/1.11 Semantic prunes 0
% 0.47/1.11
% 0.47/1.11 Rewrite attmepts 1564
% 0.47/1.11 Rewrites 23
% 0.47/1.11
% 0.47/1.11 FPA overloads 0
% 0.47/1.11 FPA underloads 0
% 0.47/1.11
% 0.47/1.11 Usable size 0
% 0.47/1.11 Sos size 73
% 0.47/1.11 Demodulators size 11
% 0.47/1.11 Passive size 0
% 0.47/1.11 Disabled size 0
% 0.47/1.11
% 0.47/1.11 Proofs found 1
% 0.47/1.11
% 0.47/1.11 ----------- times (seconds) ----------- Tue May 31 15:54:22 2022
% 0.47/1.11
% 0.47/1.11 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.47/1.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.47/1.11 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.47/1.11 input time 0.00
% 0.47/1.11 paramodulation time 0.00
% 0.47/1.11 demodulation time 0.00
% 0.47/1.11 orient time 0.00
% 0.47/1.11 weigh time 0.00
% 0.47/1.11 forward subsume time 0.00
% 0.47/1.11 back demod find time 0.00
% 0.47/1.11 conflict time 0.00
% 0.47/1.11 LRPO time 0.00
% 0.47/1.11 store clause time 0.00
% 0.47/1.11 disable clause time 0.00
% 0.47/1.11 prime paramod time 0.00
% 0.47/1.11 semantics time 0.00
% 0.47/1.11
% 0.47/1.11 EQP interrupted
%------------------------------------------------------------------------------