TSTP Solution File: COL057-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : COL057-1 : 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 00:23:17 EDT 2022
% Result : Unsatisfiable 0.74s 1.57s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(apply(apply(apply(s,A),B),C),apply(apply(A,C),apply(B,C))),
file('COL057-1.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('COL057-1.p',unknown),
[] ).
cnf(4,plain,
equal(apply(apply(apply(c,A),B),C),apply(apply(A,C),B)),
file('COL057-1.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(i,A),A),
file('COL057-1.p',unknown),
[] ).
cnf(7,plain,
~ equal(apply(f(A),apply(A,f(A))),apply(A,f(A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(33,plain,
equal(apply(apply(apply(apply(s,b),A),B),C),apply(B,apply(apply(A,B),C))),
inference(para,[status(thm),theory(equality)],[2,3]),
[iquote('para(2,3)')] ).
cnf(34,plain,
equal(apply(A,apply(B,A)),apply(apply(apply(s,i),B),A)),
inference(para,[status(thm),theory(equality)],[6,2]),
[iquote('para(6,2)')] ).
cnf(39,plain,
equal(apply(A,A),apply(apply(apply(s,i),i),A)),
inference(para,[status(thm),theory(equality)],[6,34]),
[iquote('para(6,34)')] ).
cnf(70,plain,
equal(apply(apply(apply(apply(c,b),A),B),C),apply(B,apply(A,C))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(2296,plain,
~ equal(apply(f(apply(apply(apply(s,b),A),B)),apply(B,apply(apply(A,B),f(apply(apply(apply(s,b),A),B))))),apply(B,apply(apply(A,B),f(apply(apply(apply(s,b),A),B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,7]),33]),
[iquote('para(33,7),demod([33])')] ).
cnf(5257,plain,
equal(apply(A,apply(B,apply(apply(apply(c,b),B),A))),apply(apply(apply(s,i),i),apply(apply(apply(c,b),B),A))),
inference(para,[status(thm),theory(equality)],[70,39]),
[iquote('para(70,39)')] ).
cnf(5258,plain,
$false,
inference(conflict,[status(thm)],[5257,2296]),
[iquote('conflict(5257,2296)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n019.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 09:38:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.57 ----- EQP 0.9e, May 2009 -----
% 0.74/1.57 The job began on n019.cluster.edu, Tue May 31 09:38:26 2022
% 0.74/1.57 The command was "./eqp09e".
% 0.74/1.57
% 0.74/1.57 set(prolog_style_variables).
% 0.74/1.57 set(lrpo).
% 0.74/1.57 set(basic_paramod).
% 0.74/1.57 set(functional_subsume).
% 0.74/1.57 set(ordered_paramod).
% 0.74/1.57 set(prime_paramod).
% 0.74/1.57 set(para_pairs).
% 0.74/1.57 assign(pick_given_ratio,4).
% 0.74/1.57 clear(print_kept).
% 0.74/1.57 clear(print_new_demod).
% 0.74/1.57 clear(print_back_demod).
% 0.74/1.57 clear(print_given).
% 0.74/1.57 assign(max_mem,64000).
% 0.74/1.57 end_of_commands.
% 0.74/1.57
% 0.74/1.57 Usable:
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Sos:
% 0.74/1.57 0 (wt=-1) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.74/1.57 0 (wt=-1) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.57 0 (wt=-1) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.74/1.57 0 (wt=-1) [] apply(i,A) = A.
% 0.74/1.57 0 (wt=-1) [] -(apply(A,f(A)) = apply(f(A),apply(A,f(A)))).
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Demodulators:
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Passive:
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Starting to process input.
% 0.74/1.57
% 0.74/1.57 ** KEPT: 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.74/1.57
% 0.74/1.57 ** KEPT: 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.74/1.57 clause forward subsumed: 0 (wt=15) [flip(2)] apply(apply(apply(s,A),C),B) = apply(apply(A,B),apply(C,B)).
% 0.74/1.57
% 0.74/1.57 ** KEPT: 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.57 3 is a new demodulator.
% 0.74/1.57
% 0.74/1.57 ** KEPT: 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.74/1.57
% 0.74/1.57 ** KEPT: 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.74/1.57 clause forward subsumed: 0 (wt=13) [flip(5)] apply(apply(apply(c,A),C),B) = apply(apply(A,B),C).
% 0.74/1.57
% 0.74/1.57 ** KEPT: 6 (wt=5) [] apply(i,A) = A.
% 0.74/1.57 6 is a new demodulator.
% 0.74/1.57
% 0.74/1.57 ** KEPT: 7 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.74/1.57 ---------------- PROOF FOUND ----------------
% 0.74/1.57 % SZS status Unsatisfiable
% 0.74/1.57
% 0.74/1.57
% 0.74/1.57 After processing input:
% 0.74/1.57
% 0.74/1.57 Usable:
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Sos:
% 0.74/1.57 6 (wt=5) [] apply(i,A) = A.
% 0.74/1.57 7 (wt=12) [flip(1)] -(apply(f(A),apply(A,f(A))) = apply(A,f(A))).
% 0.74/1.57 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.57 4 (wt=13) [] apply(apply(apply(c,A),B),C) = apply(apply(A,C),B).
% 0.74/1.57 5 (wt=13) [flip(4)] apply(apply(A,B),C) = apply(apply(apply(c,A),C),B).
% 0.74/1.57 1 (wt=15) [] apply(apply(apply(s,A),B),C) = apply(apply(A,C),apply(B,C)).
% 0.74/1.57 2 (wt=15) [flip(1)] apply(apply(A,B),apply(C,B)) = apply(apply(apply(s,A),C),B).
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Demodulators:
% 0.74/1.57 3 (wt=13) [] apply(apply(apply(b,A),B),C) = apply(A,apply(B,C)).
% 0.74/1.57 6 (wt=5) [] apply(i,A) = A.
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 Passive:
% 0.74/1.57 end_of_list.
% 0.74/1.57
% 0.74/1.57 UNIT CONFLICT from 5257 and 2296 at 0.35 seconds.
% 0.74/1.57
% 0.74/1.57 ---------------- PROOF ----------------
% 0.74/1.57 % SZS output start Refutation
% See solution above
% 0.74/1.57 ------------ end of proof -------------
% 0.74/1.57
% 0.74/1.57
% 0.74/1.57 ------------- memory usage ------------
% 0.74/1.57 Memory dynamically allocated (tp_alloc): 10742.
% 0.74/1.57 type (bytes each) gets frees in use avail bytes
% 0.74/1.57 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.74/1.57 term ( 16) 295145 148062 147083 39 2852.9 K
% 0.74/1.57 gen_ptr ( 8) 697940 27823 670117 13 5235.4 K
% 0.74/1.57 context ( 808) 251047 251045 2 4 4.7 K
% 0.74/1.57 trail ( 12) 12069 12069 0 6 0.1 K
% 0.74/1.57 bt_node ( 68) 80691 80688 3 10 0.9 K
% 0.74/1.57 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.57 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.57 ac_match_free_vars_pos (4020)
% 0.74/1.57 0 0 0 0 0.0 K
% 0.74/1.57 discrim ( 12) 89737 7805 81932 0 960.1 K
% 0.74/1.57 flat ( 40) 900581 900581 0 73 2.9 K
% 0.74/1.57 discrim_pos ( 12) 4971 4971 0 1 0.0 K
% 0.74/1.57 fpa_head ( 12) 2932 0 2932 0 34.4 K
% 0.74/1.57 fpa_tree ( 28) 85035 85035 0 49 1.3 K
% 0.74/1.57 fpa_pos ( 36) 6010 6010 0 1 0.0 K
% 0.74/1.57 literal ( 12) 17468 12211 5257 1 61.6 K
% 0.74/1.57 clause ( 24) 17468 12211 5257 1 123.2 K
% 0.74/1.57 list ( 12) 812 756 56 3 0.7 K
% 0.74/1.57 list_pos ( 20) 17587 2278 15309 0 299.0 K
% 0.74/1.57 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.57
% 0.74/1.57 -------------- statistics -------------
% 0.74/1.57 Clauses input 5
% 0.74/1.57 Usable input 0
% 0.74/1.57 Sos input 5
% 0.74/1.57 Demodulators input 0
% 0.74/1.57 Passive input 0
% 0.74/1.57
% 0.74/1.57 Processed BS (before search) 9
% 0.74/1.57 Forward subsumed BS 2
% 0.74/1.57 Kept BS 7
% 0.74/1.57 New demodulators BS 2
% 0.74/1.57 Back demodulated BS 0
% 0.74/1.57
% 0.74/1.57 Clauses or pairs given 4629
% 0.74/1.57 Clauses generated 8731
% 0.74/1.57 Forward subsumed 3481
% 0.74/1.57 Deleted by weight 0
% 0.74/1.57 Deleted by variable count 0
% 0.74/1.57 Kept 5250
% 0.74/1.57 New demodulators 751
% 0.74/1.57 Back demodulated 529
% 0.74/1.57 Ordered paramod prunes 0
% 0.74/1.57 Basic paramod prunes 20609
% 0.74/1.57 Prime paramod prunes 15
% 0.74/1.57 Semantic prunes 0
% 0.74/1.57
% 0.74/1.57 Rewrite attmepts 163925
% 0.74/1.57 Rewrites 2026
% 0.74/1.57
% 0.74/1.57 FPA overloads 0
% 0.74/1.57 FPA underloads 0
% 0.74/1.57
% 0.74/1.57 Usable size 0
% 0.74/1.57 Sos size 4727
% 0.74/1.57 Demodulators size 599
% 0.74/1.57 Passive size 0
% 0.74/1.57 Disabled size 529
% 0.74/1.57
% 0.74/1.57 Proofs found 1
% 0.74/1.57
% 0.74/1.57 ----------- times (seconds) ----------- Tue May 31 09:38:27 2022
% 0.74/1.57
% 0.74/1.57 user CPU time 0.35 (0 hr, 0 min, 0 sec)
% 0.74/1.57 system CPU time 0.12 (0 hr, 0 min, 0 sec)
% 0.74/1.57 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.74/1.57 input time 0.00
% 0.74/1.57 paramodulation time 0.01
% 0.74/1.57 demodulation time 0.02
% 0.74/1.57 orient time 0.02
% 0.74/1.57 weigh time 0.00
% 0.74/1.57 forward subsume time 0.03
% 0.74/1.57 back demod find time 0.03
% 0.74/1.57 conflict time 0.03
% 0.74/1.57 LRPO time 0.01
% 0.74/1.57 store clause time 0.14
% 0.74/1.57 disable clause time 0.01
% 0.74/1.57 prime paramod time 0.01
% 0.74/1.57 semantics time 0.00
% 0.74/1.57
% 0.74/1.57 EQP interrupted
%------------------------------------------------------------------------------