%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n019.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 00:23:18 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(response(response(lark,A),B),response(A,response(B,B))),
file('COL058-3.p',unknown),
[] ).
cnf(2,plain,
equal(response(A,response(B,B)),response(response(lark,A),B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
~ equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
file('COL058-3.p',unknown),
[] ).
cnf(4,plain,
equal(response(response(response(lark,lark),A),B),response(response(A,A),response(B,B))),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(5,plain,
equal(response(response(A,A),response(B,B)),response(response(response(lark,lark),A),B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(8,plain,
equal(response(A,response(B,response(response(lark,B),response(lark,B)))),response(response(lark,A),response(lark,B))),
inference(para,[status(thm),theory(equality)],[1,2]),
[iquote('para(1,2)')] ).
cnf(24,plain,
equal(response(A,response(response(response(lark,lark),B),B)),response(response(lark,A),response(B,B))),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(49,plain,
~ equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(para,[status(thm),theory(equality)],[4,3]),
[iquote('para(4,3)')] ).
cnf(59,plain,
equal(response(response(response(response(lark,lark),A),A),response(B,B)),response(response(response(lark,lark),response(A,A)),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,1]),1]),
[iquote('para(24,1),flip(1)')] ).
cnf(60,plain,
~ equal(response(response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[49]),59]),
[iquote('back_demod(49),demod([59])')] ).
cnf(115,plain,
equal(response(response(response(lark,lark),response(lark,A)),B),response(response(A,response(response(lark,A),response(lark,A))),response(B,B))),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(116,plain,
equal(response(response(A,response(response(lark,A),response(lark,A))),response(B,B)),response(response(response(lark,lark),response(lark,A)),B)),
inference(flip,[status(thm),theory(equality)],[115]),
[iquote('flip(115)')] ).
cnf(117,plain,
$false,
inference(conflict,[status(thm)],[116,60]),
[iquote('conflict(116,60)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : COL058-3 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n019.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 15:04:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.11 ----- EQP 0.9e, May 2009 -----
% 0.71/1.11 The job began on n019.cluster.edu, Tue May 31 15:04:26 2022
% 0.71/1.11 The command was "./eqp09e".
% 0.71/1.11
% 0.71/1.11 set(prolog_style_variables).
% 0.71/1.11 set(lrpo).
% 0.71/1.11 set(basic_paramod).
% 0.71/1.11 set(functional_subsume).
% 0.71/1.11 set(ordered_paramod).
% 0.71/1.11 set(prime_paramod).
% 0.71/1.11 set(para_pairs).
% 0.71/1.11 assign(pick_given_ratio,4).
% 0.71/1.11 clear(print_kept).
% 0.71/1.11 clear(print_new_demod).
% 0.71/1.11 clear(print_back_demod).
% 0.71/1.11 clear(print_given).
% 0.71/1.11 assign(max_mem,64000).
% 0.71/1.11 end_of_commands.
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 0 (wt=-1) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.71/1.11 0 (wt=-1) [] -(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Starting to process input.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.71/1.11
% 0.71/1.11 ** KEPT: 2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.71/1.11 clause forward subsumed: 0 (wt=11) [flip(2)] response(response(lark,A),B) = response(A,response(B,B)).
% 0.71/1.11
% 0.71/1.11 ** KEPT: 3 (wt=47) [] -(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))).
% 0.71/1.11 ---------------- PROOF FOUND ----------------
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 After processing input:
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 1 (wt=11) [] response(response(lark,A),B) = response(A,response(B,B)).
% 0.71/1.11 2 (wt=11) [flip(1)] response(A,response(B,B)) = response(response(lark,A),B).
% 0.71/1.11 3 (wt=47) [] -(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) = response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 UNIT CONFLICT from 116 and 60 at 0.01 seconds.
% 0.71/1.11
% 0.71/1.11 ---------------- PROOF ----------------
% 0.71/1.11 % SZS output start Refutation
% See solution above
% 0.71/1.11 ------------ end of proof -------------
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 ------------- memory usage ------------
% 0.71/1.11 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.11 type (bytes each) gets frees in use avail bytes
% 0.71/1.11 sym_ent ( 96) 52 0 52 0 4.9 K
% 0.71/1.11 term ( 16) 6946 3920 3026 56 59.7 K
% 0.71/1.11 gen_ptr ( 8) 13927 378 13549 12 105.9 K
% 0.71/1.11 context ( 808) 5333 5331 2 2 3.2 K
% 0.71/1.11 trail ( 12) 69 69 0 2 0.0 K
% 0.71/1.11 bt_node ( 68) 1097 1094 3 11 0.9 K
% 0.71/1.11 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_free_vars_pos (4020)
% 0.71/1.11 0 0 0 0 0.0 K
% 0.71/1.11 discrim ( 12) 1966 34 1932 0 22.6 K
% 0.71/1.11 flat ( 40) 12602 12602 0 37 1.4 K
% 0.71/1.11 discrim_pos ( 12) 93 93 0 1 0.0 K
% 0.71/1.11 fpa_head ( 12) 617 0 617 0 7.2 K
% 0.71/1.11 fpa_tree ( 28) 1006 1006 0 111 3.0 K
% 0.71/1.11 fpa_pos ( 36) 124 124 0 1 0.0 K
% 0.71/1.11 literal ( 12) 406 290 116 1 1.4 K
% 0.71/1.11 clause ( 24) 406 290 116 1 2.7 K
% 0.71/1.11 list ( 12) 67 11 56 3 0.7 K
% 0.71/1.11 list_pos ( 20) 357 6 351 0 6.9 K
% 0.71/1.11 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.11
% 0.71/1.11 -------------- statistics -------------
% 0.71/1.11 Clauses input 2
% 0.71/1.11 Usable input 0
% 0.71/1.11 Sos input 2
% 0.71/1.11 Demodulators input 0
% 0.71/1.11 Passive input 0
% 0.71/1.11
% 0.71/1.11 Processed BS (before search) 4
% 0.71/1.11 Forward subsumed BS 1
% 0.71/1.11 Kept BS 3
% 0.71/1.11 New demodulators BS 0
% 0.71/1.11 Back demodulated BS 0
% 0.71/1.11
% 0.71/1.11 Clauses or pairs given 49
% 0.71/1.11 Clauses generated 202
% 0.71/1.11 Forward subsumed 89
% 0.71/1.11 Deleted by weight 0
% 0.71/1.11 Deleted by variable count 0
% 0.71/1.11 Kept 113
% 0.71/1.11 New demodulators 8
% 0.71/1.11 Back demodulated 1
% 0.71/1.11 Ordered paramod prunes 0
% 0.71/1.11 Basic paramod prunes 68
% 0.71/1.11 Prime paramod prunes 0
% 0.71/1.11 Semantic prunes 0
% 0.71/1.11
% 0.71/1.11 Rewrite attmepts 3689
% 0.71/1.11 Rewrites 7
% 0.71/1.11
% 0.71/1.11 FPA overloads 0
% 0.71/1.11 FPA underloads 0
% 0.71/1.11
% 0.71/1.11 Usable size 0
% 0.71/1.11 Sos size 114
% 0.71/1.11 Demodulators size 8
% 0.71/1.11 Passive size 0
% 0.71/1.11 Disabled size 1
% 0.71/1.11
% 0.71/1.11 Proofs found 1
% 0.71/1.11
% 0.71/1.11 ----------- times (seconds) ----------- Tue May 31 15:04:26 2022
% 0.71/1.11
% 0.71/1.11 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.71/1.11 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.11 input time 0.00
% 0.71/1.11 paramodulation time 0.00
% 0.71/1.11 demodulation time 0.00
% 0.71/1.11 orient time 0.00
% 0.71/1.11 weigh time 0.00
% 0.71/1.11 forward subsume time 0.00
% 0.71/1.11 back demod find time 0.00
% 0.71/1.11 conflict time 0.00
% 0.71/1.11 LRPO time 0.00
% 0.71/1.11 store clause time 0.00
% 0.71/1.11 disable clause time 0.00
% 0.71/1.11 prime paramod time 0.00
% 0.71/1.11 semantics time 0.00
% 0.71/1.11
% 0.71/1.11 EQP interrupted
%------------------------------------------------------------------------------