%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 00:23:14 EDT 2022
% Result : Unsatisfiable 0.70s 1.17s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL037-1.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(apply(b,A),B),C),apply(A,apply(B,C))),
file('COL037-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(apply(c,A),B),C),apply(apply(A,C),B)),
file('COL037-1.p',unknown),
[] ).
cnf(5,plain,
equal(apply(apply(A,B),C),apply(apply(apply(c,A),C),B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(apply(apply(apply(c,apply(b,A)),B),C),apply(A,apply(C,B))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(25,plain,
equal(apply(apply(apply(c,apply(c,A)),B),C),apply(apply(A,B),C)),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(52,plain,
equal(apply(apply(A,apply(B,C)),C),apply(apply(apply(s,apply(c,A)),B),C)),
inference(para,[status(thm),theory(equality)],[4,2]),
[iquote('para(4,2)')] ).
cnf(821,plain,
equal(apply(apply(apply(apply(s,apply(c,c)),b),A),B),apply(A,apply(B,A))),
inference(para,[status(thm),theory(equality)],[52,11]),
[iquote('para(52,11)')] ).
cnf(833,plain,
equal(apply(A,apply(B,A)),apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),B),A)),
inference(para,[status(thm),theory(equality)],[821,5]),
[iquote('para(821,5)')] ).
cnf(862,plain,
~ equal(apply(apply(apply(c,apply(apply(s,apply(c,c)),b)),A),f(A)),apply(A,f(A))),
inference(para,[status(thm),theory(equality)],[833,6]),
[iquote('para(833,6)')] ).
cnf(889,plain,
equal(apply(apply(apply(apply(s,apply(c,c)),c),A),B),apply(apply(A,A),B)),
inference(para,[status(thm),theory(equality)],[52,25]),
[iquote('para(52,25)')] ).
cnf(890,plain,
equal(apply(apply(A,A),B),apply(apply(apply(apply(s,apply(c,c)),c),A),B)),
inference(flip,[status(thm),theory(equality)],[889]),
[iquote('flip(889)')] ).
cnf(914,plain,
equal(apply(apply(A,apply(B,apply(apply(b,A),B))),C),apply(apply(apply(apply(s,apply(c,c)),c),apply(apply(b,A),B)),C)),
inference(para,[status(thm),theory(equality)],[3,890]),
[iquote('para(3,890)')] ).
cnf(915,plain,
$false,
inference(conflict,[status(thm)],[914,862]),
[iquote('conflict(914,862)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n023.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 07:54:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.17 ----- EQP 0.9e, May 2009 -----
% 0.70/1.17 The job began on n023.cluster.edu, Tue May 31 07:54:42 2022
% 0.70/1.17 The command was "./eqp09e".
% 0.70/1.17
% 0.70/1.17 set(prolog_style_variables).
% 0.70/1.17 set(lrpo).
% 0.70/1.17 set(basic_paramod).
% 0.70/1.17 set(functional_subsume).
% 0.70/1.17 set(ordered_paramod).
% 0.70/1.17 set(prime_paramod).
% 0.70/1.17 set(para_pairs).
% 0.70/1.17 assign(pick_given_ratio,4).
% 0.70/1.17 clear(print_kept).
% 0.70/1.17 clear(print_new_demod).
% 0.70/1.17 clear(print_back_demod).
% 0.70/1.17 clear(print_given).
% 0.70/1.17 assign(max_mem,64000).
% 0.70/1.17 end_of_commands.
% 0.70/1.17
% 0.70/1.17 Usable:
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Sos:
% 0.70/1.17 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.70/1.17 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.70/1.17 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.70/1.17 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Demodulators:
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Passive:
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Starting to process input.
% 0.70/1.17
% 0.70/1.17 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.70/1.17
% 0.70/1.17 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.70/1.17 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.70/1.17
% 0.70/1.17 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.70/1.17 3 is a new demodulator.
% 0.70/1.17
% 0.70/1.17 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.70/1.17
% 0.70/1.17 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.70/1.17 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 0.70/1.17
% 0.70/1.17 ** KEPT: 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.70/1.17 ---------------- PROOF FOUND ----------------
% 0.70/1.17 % SZS status Unsatisfiable
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 After processing input:
% 0.70/1.17
% 0.70/1.17 Usable:
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Sos:
% 0.70/1.17 6 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.70/1.17 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.70/1.17 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.70/1.17 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.70/1.17 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.70/1.17 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Demodulators:
% 0.70/1.17 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 Passive:
% 0.70/1.17 end_of_list.
% 0.70/1.17
% 0.70/1.17 UNIT CONFLICT from 914 and 862 at 0.07 seconds.
% 0.70/1.17
% 0.70/1.17 ---------------- PROOF ----------------
% 0.70/1.17 % SZS output start Refutation
% See solution above
% 0.70/1.17 ------------ end of proof -------------
% 0.70/1.17
% 0.70/1.17
% 0.70/1.17 ------------- memory usage ------------
% 0.70/1.17 Memory dynamically allocated (tp_alloc): 1953.
% 0.70/1.17 type (bytes each) gets frees in use avail bytes
% 0.70/1.17 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.70/1.17 term ( 16) 46235 22201 24034 31 466.4 K
% 0.70/1.17 gen_ptr ( 8) 113131 2509 110622 15 864.4 K
% 0.70/1.17 context ( 808) 35016 35014 2 3 3.9 K
% 0.70/1.17 trail ( 12) 15924 15924 0 6 0.1 K
% 0.70/1.17 bt_node ( 68) 6970 6967 3 9 0.8 K
% 0.70/1.17 ac_position (285432) 0 0 0 0 0.0 K
% 0.70/1.17 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.70/1.17 ac_match_free_vars_pos (4020)
% 0.70/1.17 0 0 0 0 0.0 K
% 0.70/1.17 discrim ( 12) 15143 536 14607 0 171.2 K
% 0.70/1.17 flat ( 40) 123448 123448 0 49 1.9 K
% 0.70/1.17 discrim_pos ( 12) 606 606 0 1 0.0 K
% 0.70/1.17 fpa_head ( 12) 3047 0 3047 0 35.7 K
% 0.70/1.17 fpa_tree ( 28) 11433 11433 0 45 1.2 K
% 0.70/1.17 fpa_pos ( 36) 950 950 0 1 0.0 K
% 0.70/1.17 literal ( 12) 2778 1864 914 1 10.7 K
% 0.70/1.17 clause ( 24) 2778 1864 914 1 21.4 K
% 0.70/1.17 list ( 12) 95 39 56 3 0.7 K
% 0.70/1.17 list_pos ( 20) 2853 155 2698 0 52.7 K
% 0.70/1.17 pair_index ( 40) 2 0 2 0 0.1 K
% 0.70/1.17
% 0.70/1.17 -------------- statistics -------------
% 0.70/1.17 Clauses input 4
% 0.70/1.17 Usable input 0
% 0.70/1.17 Sos input 4
% 0.70/1.17 Demodulators input 0
% 0.70/1.17 Passive input 0
% 0.70/1.17
% 0.70/1.17 Processed BS (before search) 8
% 0.70/1.17 Forward subsumed BS 2
% 0.70/1.17 Kept BS 6
% 0.70/1.17 New demodulators BS 1
% 0.70/1.17 Back demodulated BS 0
% 0.70/1.17
% 0.70/1.17 Clauses or pairs given 416
% 0.70/1.17 Clauses generated 1443
% 0.70/1.17 Forward subsumed 535
% 0.70/1.17 Deleted by weight 0
% 0.70/1.17 Deleted by variable count 0
% 0.70/1.17 Kept 908
% 0.70/1.17 New demodulators 35
% 0.70/1.17 Back demodulated 37
% 0.70/1.17 Ordered paramod prunes 0
% 0.70/1.17 Basic paramod prunes 589
% 0.70/1.17 Prime paramod prunes 0
% 0.70/1.17 Semantic prunes 0
% 0.70/1.17
% 0.70/1.17 Rewrite attmepts 23974
% 0.70/1.17 Rewrites 107
% 0.70/1.17
% 0.70/1.17 FPA overloads 0
% 0.70/1.17 FPA underloads 0
% 0.70/1.17
% 0.70/1.17 Usable size 0
% 0.70/1.17 Sos size 876
% 0.70/1.17 Demodulators size 33
% 0.70/1.17 Passive size 0
% 0.70/1.17 Disabled size 37
% 0.70/1.17
% 0.70/1.17 Proofs found 1
% 0.70/1.17
% 0.70/1.17 ----------- times (seconds) ----------- Tue May 31 07:54:42 2022
% 0.70/1.17
% 0.70/1.17 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.70/1.17 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.70/1.17 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.70/1.17 input time 0.00
% 0.70/1.17 paramodulation time 0.00
% 0.70/1.17 demodulation time 0.01
% 0.70/1.17 orient time 0.01
% 0.70/1.17 weigh time 0.00
% 0.70/1.17 forward subsume time 0.01
% 0.70/1.17 back demod find time 0.00
% 0.70/1.17 conflict time 0.01
% 0.70/1.17 LRPO time 0.01
% 0.70/1.17 store clause time 0.02
% 0.70/1.17 disable clause time 0.00
% 0.70/1.17 prime paramod time 0.00
% 0.70/1.17 semantics time 0.00
% 0.70/1.17
% 0.70/1.17 EQP interrupted
%------------------------------------------------------------------------------