%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n020.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 00:23:12 EDT 2022
% Result : Unsatisfiable 0.82s 1.16s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL019-1.p',unknown),
[] ).
cnf(3,plain,
equal(apply(apply(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL019-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(t,A),B),apply(B,A)),
file('COL019-1.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(combinator,A),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(48,plain,
equal(apply(apply(apply(t,A),apply(s,B)),C),apply(apply(B,C),apply(A,C))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(49,plain,
equal(apply(apply(A,B),apply(C,B)),apply(apply(apply(t,C),apply(s,A)),B)),
inference(flip,[status(thm),theory(equality)],[48]),
[iquote('flip(48)')] ).
cnf(60,plain,
equal(apply(apply(t,A),apply(apply(b,B),C)),apply(B,apply(C,A))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(61,plain,
equal(apply(A,apply(B,C)),apply(apply(t,C),apply(apply(b,A),B))),
inference(flip,[status(thm),theory(equality)],[60]),
[iquote('flip(60)')] ).
cnf(79,plain,
~ equal(apply(apply(t,A),apply(apply(b,combinator),B)),apply(B,A)),
inference(para,[status(thm),theory(equality)],[61,6]),
[iquote('para(61,6)')] ).
cnf(80,plain,
$false,
inference(conflict,[status(thm)],[79,49]),
[iquote('conflict(79,49)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 14:45:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.16 ----- EQP 0.9e, May 2009 -----
% 0.82/1.16 The job began on n020.cluster.edu, Tue May 31 14:45:39 2022
% 0.82/1.16 The command was "./eqp09e".
% 0.82/1.16
% 0.82/1.16 set(prolog_style_variables).
% 0.82/1.16 set(lrpo).
% 0.82/1.16 set(basic_paramod).
% 0.82/1.16 set(functional_subsume).
% 0.82/1.16 set(ordered_paramod).
% 0.82/1.16 set(prime_paramod).
% 0.82/1.16 set(para_pairs).
% 0.82/1.16 assign(pick_given_ratio,4).
% 0.82/1.16 clear(print_kept).
% 0.82/1.16 clear(print_new_demod).
% 0.82/1.16 clear(print_back_demod).
% 0.82/1.16 clear(print_given).
% 0.82/1.16 assign(max_mem,64000).
% 0.82/1.16 end_of_commands.
% 0.82/1.16
% 0.82/1.16 Usable:
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Sos:
% 0.82/1.16 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16 0 (wt=-1) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16 0 (wt=-1) [] -(A = apply(combinator,A)).
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Demodulators:
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Passive:
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Starting to process input.
% 0.82/1.16
% 0.82/1.16 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16
% 0.82/1.16 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.82/1.16 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.82/1.16
% 0.82/1.16 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16 3 is a new demodulator.
% 0.82/1.16
% 0.82/1.16 ** KEPT: 4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16
% 0.82/1.16 ** KEPT: 5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.82/1.16 clause forward subsumed: 0 (wt=9) [flip(5)] apply(apply(t,B),A) = apply(A,B).
% 0.82/1.16
% 0.82/1.16 ** KEPT: 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.82/1.16 ---------------- PROOF FOUND ----------------
% 0.82/1.16 % SZS status Unsatisfiable
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 After processing input:
% 0.82/1.16
% 0.82/1.16 Usable:
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Sos:
% 0.82/1.16 6 (wt=5) [flip(1)] -(apply(combinator,A) = A).
% 0.82/1.16 4 (wt=9) [] apply(apply(t,A),B) = apply(B,A).
% 0.82/1.16 5 (wt=9) [flip(4)] apply(A,B) = apply(apply(t,B),A).
% 0.82/1.16 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.82/1.16 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Demodulators:
% 0.82/1.16 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 Passive:
% 0.82/1.16 end_of_list.
% 0.82/1.16
% 0.82/1.16 UNIT CONFLICT from 79 and 49 at 0.00 seconds.
% 0.82/1.16
% 0.82/1.16 ---------------- PROOF ----------------
% 0.82/1.16 % SZS output start Refutation
% See solution above
% 0.82/1.16 ------------ end of proof -------------
% 0.82/1.16
% 0.82/1.16
% 0.82/1.16 ------------- memory usage ------------
% 0.82/1.16 Memory dynamically allocated (tp_alloc): 488.
% 0.82/1.16 type (bytes each) gets frees in use avail bytes
% 0.82/1.16 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.82/1.16 term ( 16) 3443 2100 1343 18 26.3 K
% 0.82/1.16 gen_ptr ( 8) 5229 275 4954 10 38.8 K
% 0.82/1.16 context ( 808) 2504 2502 2 2 3.2 K
% 0.82/1.16 trail ( 12) 233 233 0 6 0.1 K
% 0.82/1.16 bt_node ( 68) 751 748 3 4 0.5 K
% 0.82/1.16 ac_position (285432) 0 0 0 0 0.0 K
% 0.82/1.16 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.82/1.16 ac_match_free_vars_pos (4020)
% 0.82/1.16 0 0 0 0 0.0 K
% 0.82/1.16 discrim ( 12) 895 11 884 0 10.4 K
% 0.82/1.16 flat ( 40) 7026 7026 0 27 1.1 K
% 0.82/1.16 discrim_pos ( 12) 68 68 0 1 0.0 K
% 0.82/1.16 fpa_head ( 12) 317 0 317 0 3.7 K
% 0.82/1.16 fpa_tree ( 28) 526 526 0 25 0.7 K
% 0.82/1.16 fpa_pos ( 36) 86 86 0 1 0.0 K
% 0.82/1.16 literal ( 12) 245 166 79 1 0.9 K
% 0.82/1.16 clause ( 24) 245 166 79 1 1.9 K
% 0.82/1.16 list ( 12) 66 10 56 3 0.7 K
% 0.82/1.16 list_pos ( 20) 249 12 237 0 4.6 K
% 0.82/1.16 pair_index ( 40) 2 0 2 0 0.1 K
% 0.82/1.16
% 0.82/1.16 -------------- statistics -------------
% 0.82/1.16 Clauses input 4
% 0.82/1.16 Usable input 0
% 0.82/1.16 Sos input 4
% 0.82/1.16 Demodulators input 0
% 0.82/1.16 Passive input 0
% 0.82/1.16
% 0.82/1.16 Processed BS (before search) 8
% 0.82/1.16 Forward subsumed BS 2
% 0.82/1.16 Kept BS 6
% 0.82/1.16 New demodulators BS 1
% 0.82/1.16 Back demodulated BS 0
% 0.82/1.16
% 0.82/1.16 Clauses or pairs given 113
% 0.82/1.16 Clauses generated 134
% 0.82/1.16 Forward subsumed 61
% 0.82/1.16 Deleted by weight 0
% 0.82/1.16 Deleted by variable count 0
% 0.82/1.16 Kept 73
% 0.82/1.16 New demodulators 6
% 0.82/1.16 Back demodulated 2
% 0.82/1.16 Ordered paramod prunes 0
% 0.82/1.16 Basic paramod prunes 78
% 0.82/1.16 Prime paramod prunes 0
% 0.82/1.16 Semantic prunes 0
% 0.82/1.16
% 0.82/1.16 Rewrite attmepts 1479
% 0.82/1.16 Rewrites 11
% 0.82/1.16
% 0.82/1.16 FPA overloads 0
% 0.82/1.16 FPA underloads 0
% 0.82/1.16
% 0.82/1.16 Usable size 0
% 0.82/1.16 Sos size 76
% 0.82/1.16 Demodulators size 7
% 0.82/1.16 Passive size 0
% 0.82/1.16 Disabled size 2
% 0.82/1.16
% 0.82/1.16 Proofs found 1
% 0.82/1.16
% 0.82/1.16 ----------- times (seconds) ----------- Tue May 31 14:45:39 2022
% 0.82/1.16
% 0.82/1.16 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.82/1.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.82/1.16 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.82/1.16 input time 0.00
% 0.82/1.16 paramodulation time 0.00
% 0.82/1.16 demodulation time 0.00
% 0.82/1.16 orient time 0.00
% 0.82/1.16 weigh time 0.00
% 0.82/1.16 forward subsume time 0.00
% 0.82/1.16 back demod find time 0.00
% 0.82/1.16 conflict time 0.00
% 0.82/1.16 LRPO time 0.00
% 0.82/1.16 store clause time 0.00
% 0.82/1.16 disable clause time 0.00
% 0.82/1.16 prime paramod time 0.00
% 0.82/1.16 semantics time 0.00
% 0.82/1.16
% 0.82/1.16 EQP interrupted
%------------------------------------------------------------------------------