%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n017.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 0.40s 1.05s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 2 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL030-1.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(l,A),B),apply(A,apply(B,B))),
file('COL030-1.p',unknown),
[] ).
cnf(5,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
equal(apply(apply(apply(s,l),A),B),apply(B,apply(apply(A,B),apply(A,B)))),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(16,plain,
equal(apply(A,apply(apply(B,A),apply(B,A))),apply(apply(apply(s,l),B),A)),
inference(flip,[status(thm),theory(equality)],[15]),
[iquote('flip(15)')] ).
cnf(67,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)],[1,5]),
[iquote('para(1,5)')] ).
cnf(68,plain,
$false,
inference(conflict,[status(thm)],[67,16]),
[iquote('conflict(67,16)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n017.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 08:25:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/1.05 ----- EQP 0.9e, May 2009 -----
% 0.40/1.05 The job began on n017.cluster.edu, Tue May 31 08:25:26 2022
% 0.40/1.05 The command was "./eqp09e".
% 0.40/1.05
% 0.40/1.05 set(prolog_style_variables).
% 0.40/1.05 set(lrpo).
% 0.40/1.05 set(basic_paramod).
% 0.40/1.05 set(functional_subsume).
% 0.40/1.05 set(ordered_paramod).
% 0.40/1.05 set(prime_paramod).
% 0.40/1.05 set(para_pairs).
% 0.40/1.05 assign(pick_given_ratio,4).
% 0.40/1.05 clear(print_kept).
% 0.40/1.05 clear(print_new_demod).
% 0.40/1.05 clear(print_back_demod).
% 0.40/1.05 clear(print_given).
% 0.40/1.05 assign(max_mem,64000).
% 0.40/1.05 end_of_commands.
% 0.40/1.05
% 0.40/1.05 Usable:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Sos:
% 0.40/1.05 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.40/1.05 0 (wt=-1) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.40/1.05 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Demodulators:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Passive:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Starting to process input.
% 0.40/1.05
% 0.40/1.05 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.40/1.05
% 0.40/1.05 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.40/1.05 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.40/1.05
% 0.40/1.05 ** KEPT: 3 (wt=11) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.40/1.05
% 0.40/1.05 ** KEPT: 4 (wt=11) [flip(3)] apply(A,apply(B,B)) = apply(apply(l,A),B).
% 0.40/1.05 clause forward subsumed: 0 (wt=11) [flip(4)] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.40/1.05
% 0.40/1.05 ** KEPT: 5 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.40/1.05 ---------------- PROOF FOUND ----------------
% 0.40/1.05 % SZS status Unsatisfiable
% 0.40/1.05
% 0.40/1.05
% 0.40/1.05 After processing input:
% 0.40/1.05
% 0.40/1.05 Usable:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Sos:
% 0.40/1.05 3 (wt=11) [] apply(apply(l,A),B) = apply(A,apply(B,B)).
% 0.40/1.05 4 (wt=11) [flip(3)] apply(A,apply(B,B)) = apply(apply(l,A),B).
% 0.40/1.05 5 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.40/1.05 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.40/1.05 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Demodulators:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 Passive:
% 0.40/1.05 end_of_list.
% 0.40/1.05
% 0.40/1.05 UNIT CONFLICT from 67 and 16 at 0.00 seconds.
% 0.40/1.05
% 0.40/1.05 ---------------- PROOF ----------------
% 0.40/1.05 % SZS output start Refutation
% See solution above
% 0.40/1.05 ------------ end of proof -------------
% 0.40/1.05
% 0.40/1.05
% 0.40/1.05 ------------- memory usage ------------
% 0.40/1.05 Memory dynamically allocated (tp_alloc): 488.
% 0.40/1.05 type (bytes each) gets frees in use avail bytes
% 0.40/1.05 sym_ent ( 96) 55 0 55 0 5.2 K
% 0.40/1.05 term ( 16) 3037 1683 1354 38 26.9 K
% 0.40/1.05 gen_ptr ( 8) 5080 145 4935 7 38.6 K
% 0.40/1.05 context ( 808) 1819 1817 2 2 3.2 K
% 0.40/1.05 trail ( 12) 54 54 0 4 0.0 K
% 0.40/1.05 bt_node ( 68) 279 276 3 4 0.5 K
% 0.40/1.05 ac_position (285432) 0 0 0 0 0.0 K
% 0.40/1.05 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.40/1.05 ac_match_free_vars_pos (4020)
% 0.40/1.05 0 0 0 0 0.0 K
% 0.40/1.05 discrim ( 12) 946 0 946 0 11.1 K
% 0.40/1.05 flat ( 40) 3627 3627 0 27 1.1 K
% 0.40/1.05 discrim_pos ( 12) 36 36 0 1 0.0 K
% 0.40/1.05 fpa_head ( 12) 318 0 318 0 3.7 K
% 0.40/1.05 fpa_tree ( 28) 69 69 0 21 0.6 K
% 0.40/1.05 fpa_pos ( 36) 69 69 0 1 0.0 K
% 0.40/1.05 literal ( 12) 213 146 67 1 0.8 K
% 0.40/1.05 clause ( 24) 213 146 67 1 1.6 K
% 0.40/1.05 list ( 12) 61 5 56 3 0.7 K
% 0.40/1.05 list_pos ( 20) 203 3 200 0 3.9 K
% 0.40/1.05 pair_index ( 40) 2 0 2 0 0.1 K
% 0.40/1.05
% 0.40/1.05 -------------- statistics -------------
% 0.40/1.05 Clauses input 3
% 0.40/1.05 Usable input 0
% 0.40/1.05 Sos input 3
% 0.40/1.05 Demodulators input 0
% 0.40/1.05 Passive input 0
% 0.40/1.05
% 0.40/1.05 Processed BS (before search) 7
% 0.40/1.05 Forward subsumed BS 2
% 0.40/1.05 Kept BS 5
% 0.40/1.05 New demodulators BS 0
% 0.40/1.05 Back demodulated BS 0
% 0.40/1.05
% 0.40/1.05 Clauses or pairs given 20
% 0.40/1.05 Clauses generated 100
% 0.40/1.05 Forward subsumed 38
% 0.40/1.05 Deleted by weight 0
% 0.40/1.05 Deleted by variable count 0
% 0.40/1.05 Kept 62
% 0.40/1.05 New demodulators 2
% 0.40/1.05 Back demodulated 0
% 0.40/1.05 Ordered paramod prunes 0
% 0.40/1.05 Basic paramod prunes 4
% 0.40/1.05 Prime paramod prunes 0
% 0.40/1.05 Semantic prunes 0
% 0.40/1.05
% 0.40/1.05 Rewrite attmepts 1280
% 0.40/1.05 Rewrites 0
% 0.40/1.05
% 0.40/1.05 FPA overloads 0
% 0.40/1.05 FPA underloads 0
% 0.40/1.05
% 0.40/1.05 Usable size 0
% 0.40/1.05 Sos size 66
% 0.40/1.05 Demodulators size 2
% 0.40/1.05 Passive size 0
% 0.40/1.05 Disabled size 0
% 0.40/1.05
% 0.40/1.05 Proofs found 1
% 0.40/1.05
% 0.40/1.05 ----------- times (seconds) ----------- Tue May 31 08:25:26 2022
% 0.40/1.05
% 0.40/1.05 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.40/1.05 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.40/1.05 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.40/1.05 input time 0.00
% 0.40/1.05 paramodulation time 0.00
% 0.40/1.05 demodulation time 0.00
% 0.40/1.05 orient time 0.00
% 0.40/1.05 weigh time 0.00
% 0.40/1.05 forward subsume time 0.00
% 0.40/1.05 back demod find time 0.00
% 0.40/1.05 conflict time 0.00
% 0.40/1.05 LRPO time 0.00
% 0.40/1.05 store clause time 0.00
% 0.40/1.05 disable clause time 0.00
% 0.40/1.05 prime paramod time 0.00
% 0.40/1.05 semantics time 0.00
% 0.40/1.05
% 0.40/1.05 EQP interrupted
%------------------------------------------------------------------------------