TSTP Solution File: GRP572-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n015.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 : Sat Jul 16 08:48:02 EDT 2022
% Result : Unsatisfiable 0.79s 1.15s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 42 ( 42 unt; 0 nHn; 4 RR)
% Number of literals : 42 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),B),
file('GRP572-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP572-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP572-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(A,double_divide(A,identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),1]),
[iquote('demod([3]),flip(1)')] ).
cnf(5,plain,
~ equal(double_divide(double_divide(b,a),identity),double_divide(double_divide(a,b),identity)),
inference(demod,[status(thm),theory(equality)],[2,2]),
[iquote('demod([2,2])')] ).
cnf(6,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(double_divide(D,B),double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)),double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(C,identity)))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(9,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(B,identity),double_divide(double_divide(A,identity),identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(10,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1]),4]),
[iquote('para(4,1),demod([4])')] ).
cnf(12,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)),double_divide(double_divide(B,double_divide(double_divide(C,double_divide(B,D)),double_divide(D,identity))),double_divide(double_divide(A,C),double_divide(double_divide(identity,identity),identity)))),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(13,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(double_divide(D,B),double_divide(double_divide(identity,identity),identity))),double_divide(double_divide(identity,double_divide(D,double_divide(identity,identity))),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[12]),
[iquote('flip(12)')] ).
cnf(14,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,identity),double_divide(A,B)),double_divide(B,identity))),double_divide(C,double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),double_divide(D,double_divide(double_divide(C,double_divide(D,E)),double_divide(E,identity)))),
inference(para,[status(thm),theory(equality)],[1,6]),
[iquote('para(1,6)')] ).
cnf(15,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(double_divide(double_divide(D,double_divide(double_divide(double_divide(identity,identity),double_divide(D,E)),double_divide(E,identity))),double_divide(B,double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[14]),
[iquote('flip(14)')] ).
cnf(17,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(identity,identity))),double_divide(identity,identity)),double_divide(A,identity)),
inference(para,[status(thm),theory(equality)],[10,1]),
[iquote('para(10,1)')] ).
cnf(18,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(double_divide(D,B),double_divide(double_divide(identity,identity),identity))),double_divide(D,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),17]),
[iquote('back_demod(13),demod([17])')] ).
cnf(19,plain,
equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),17]),
[iquote('back_demod(8),demod([17])')] ).
cnf(20,plain,
equal(double_divide(double_divide(A,identity),double_divide(double_divide(B,A),double_divide(double_divide(identity,identity),identity))),double_divide(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),19]),
[iquote('back_demod(18),demod([19])')] ).
cnf(21,plain,
equal(double_divide(double_divide(double_divide(double_divide(identity,identity),identity),double_divide(A,double_divide(double_divide(identity,identity),identity))),double_divide(identity,identity)),double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),19,19]),1]),
[iquote('back_demod(15),demod([19,19]),flip(1)')] ).
cnf(22,plain,
equal(double_divide(identity,identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,17]),10]),1]),
[iquote('para(4,17),demod([10]),flip(1)')] ).
cnf(23,plain,
equal(double_divide(double_divide(identity,double_divide(A,identity)),identity),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),22,22,22,22,22]),
[iquote('back_demod(21),demod([22,22,22,22,22])')] ).
cnf(24,plain,
equal(double_divide(double_divide(A,identity),double_divide(double_divide(B,A),identity)),double_divide(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),22,22]),
[iquote('back_demod(20),demod([22,22])')] ).
cnf(25,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),22]),
[iquote('back_demod(10),demod([22])')] ).
cnf(26,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(B,identity),A)),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),25,22]),
[iquote('back_demod(9),demod([25,22])')] ).
cnf(32,plain,
equal(double_divide(double_divide(identity,A),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,23]),25]),
[iquote('para(25,23),demod([25])')] ).
cnf(34,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(para,[status(thm),theory(equality)],[32,25]),
[iquote('para(32,25)')] ).
cnf(35,plain,
equal(double_divide(identity,A),double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[34]),
[iquote('flip(34)')] ).
cnf(39,plain,
equal(double_divide(double_divide(double_divide(double_divide(A,double_divide(double_divide(B,identity),C)),double_divide(C,identity)),double_divide(A,identity)),identity),B),
inference(para,[status(thm),theory(equality)],[19,26]),
[iquote('para(19,26)')] ).
cnf(41,plain,
equal(double_divide(double_divide(double_divide(double_divide(A,B),identity),double_divide(A,identity)),identity),B),
inference(para,[status(thm),theory(equality)],[24,26]),
[iquote('para(24,26)')] ).
cnf(43,plain,
equal(double_divide(double_divide(A,double_divide(B,A)),identity),double_divide(B,identity)),
inference(para,[status(thm),theory(equality)],[25,26]),
[iquote('para(25,26)')] ).
cnf(46,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,25]),25]),1]),
[iquote('para(43,25),demod([25]),flip(1)')] ).
cnf(51,plain,
equal(double_divide(double_divide(double_divide(A,B),identity),double_divide(A,identity)),double_divide(B,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,25]),1]),
[iquote('para(41,25),flip(1)')] ).
cnf(54,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),double_divide(B,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,39]),25]),
[iquote('para(22,39),demod([25])')] ).
cnf(60,plain,
equal(double_divide(double_divide(identity,double_divide(A,B)),double_divide(B,identity)),double_divide(A,identity)),
inference(para,[status(thm),theory(equality)],[25,54]),
[iquote('para(25,54)')] ).
cnf(63,plain,
equal(double_divide(double_divide(identity,double_divide(A,double_divide(identity,B))),B),double_divide(A,identity)),
inference(para,[status(thm),theory(equality)],[32,60]),
[iquote('para(32,60)')] ).
cnf(68,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(identity,B)),identity),B),double_divide(A,identity)),
inference(para,[status(thm),theory(equality)],[35,63]),
[iquote('para(35,63)')] ).
cnf(107,plain,
equal(double_divide(double_divide(A,double_divide(identity,B)),identity),double_divide(double_divide(A,identity),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,60]),25]),1]),
[iquote('para(19,60),demod([25]),flip(1)')] ).
cnf(108,plain,
equal(double_divide(double_divide(double_divide(A,identity),B),B),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),107]),
[iquote('back_demod(68),demod([107])')] ).
cnf(109,plain,
equal(double_divide(double_divide(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,108]),25]),
[iquote('para(25,108),demod([25])')] ).
cnf(111,plain,
equal(double_divide(A,B),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[51,60]),46,109,109]),
[iquote('para(51,60),demod([46,109,109])')] ).
cnf(114,plain,
~ equal(double_divide(double_divide(a,b),identity),double_divide(double_divide(a,b),identity)),
inference(para,[status(thm),theory(equality)],[111,5]),
[iquote('para(111,5)')] ).
cnf(115,plain,
$false,
inference(conflict,[status(thm)],[114]),
[iquote('xx_conflict(114)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n015.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 : Mon Jun 13 10:00:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.79/1.15 ----- EQP 0.9e, May 2009 -----
% 0.79/1.15 The job began on n015.cluster.edu, Mon Jun 13 10:00:23 2022
% 0.79/1.15 The command was "./eqp09e".
% 0.79/1.15
% 0.79/1.15 set(prolog_style_variables).
% 0.79/1.15 set(lrpo).
% 0.79/1.15 set(basic_paramod).
% 0.79/1.15 set(functional_subsume).
% 0.79/1.15 set(ordered_paramod).
% 0.79/1.15 set(prime_paramod).
% 0.79/1.15 set(para_pairs).
% 0.79/1.15 assign(pick_given_ratio,4).
% 0.79/1.15 clear(print_kept).
% 0.79/1.15 clear(print_new_demod).
% 0.79/1.15 clear(print_back_demod).
% 0.79/1.15 clear(print_given).
% 0.79/1.15 assign(max_mem,64000).
% 0.79/1.15 end_of_commands.
% 0.79/1.15
% 0.79/1.15 Usable:
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Sos:
% 0.79/1.15 0 (wt=-1) [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B.
% 0.79/1.15 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.79/1.15 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.79/1.15 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.79/1.15 0 (wt=-1) [] -(multiply(a,b) = multiply(b,a)).
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Demodulators:
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Passive:
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Starting to process input.
% 0.79/1.15
% 0.79/1.15 ** KEPT: 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B.
% 0.79/1.15 1 is a new demodulator.
% 0.79/1.15
% 0.79/1.15 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.79/1.15 2 is a new demodulator.
% 0.79/1.15
% 0.79/1.15 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.79/1.15 3 is a new demodulator.
% 0.79/1.15
% 0.79/1.15 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.79/1.15 4 is a new demodulator.
% 0.79/1.15
% 0.79/1.15 ** KEPT: 5 (wt=11) [demod([2,2])] -(double_divide(double_divide(b,a),identity) = double_divide(double_divide(a,b),identity)).
% 0.79/1.15 ---------------- PROOF FOUND ----------------
% 0.79/1.15 % SZS status Unsatisfiable
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 After processing input:
% 0.79/1.15
% 0.79/1.15 Usable:
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Sos:
% 0.79/1.15 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.79/1.15 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.79/1.15 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.79/1.15 5 (wt=11) [demod([2,2])] -(double_divide(double_divide(b,a),identity) = double_divide(double_divide(a,b),identity)).
% 0.79/1.15 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B.
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Demodulators:
% 0.79/1.15 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B.
% 0.79/1.15 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.79/1.15 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.79/1.15 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 Passive:
% 0.79/1.15 end_of_list.
% 0.79/1.15
% 0.79/1.15 UNIT CONFLICT from 114 and x=x at 0.01 seconds.
% 0.79/1.15
% 0.79/1.15 ---------------- PROOF ----------------
% 0.79/1.15 % SZS output start Refutation
% See solution above
% 0.79/1.15 ------------ end of proof -------------
% 0.79/1.15
% 0.79/1.15
% 0.79/1.15 ------------- memory usage ------------
% 0.79/1.15 Memory dynamically allocated (tp_alloc): 488.
% 0.79/1.15 type (bytes each) gets frees in use avail bytes
% 0.79/1.15 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.79/1.15 term ( 16) 9134 7529 1605 39 31.7 K
% 0.79/1.15 gen_ptr ( 8) 10143 3690 6453 41 50.7 K
% 0.79/1.15 context ( 808) 10320 10318 2 2 3.2 K
% 0.79/1.15 trail ( 12) 687 687 0 5 0.1 K
% 0.79/1.15 bt_node ( 68) 5038 5035 3 12 1.0 K
% 0.79/1.15 ac_position (285432) 0 0 0 0 0.0 K
% 0.79/1.15 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.79/1.15 ac_match_free_vars_pos (4020)
% 0.79/1.15 0 0 0 0 0.0 K
% 0.79/1.15 discrim ( 12) 1343 924 419 63 5.6 K
% 0.79/1.15 flat ( 40) 15218 15218 0 37 1.4 K
% 0.79/1.15 discrim_pos ( 12) 584 584 0 1 0.0 K
% 0.79/1.15 fpa_head ( 12) 399 0 399 0 4.7 K
% 0.79/1.15 fpa_tree ( 28) 463 463 0 23 0.6 K
% 0.79/1.15 fpa_pos ( 36) 205 205 0 1 0.0 K
% 0.79/1.15 literal ( 12) 576 462 114 1 1.3 K
% 0.79/1.15 clause ( 24) 576 462 114 1 2.7 K
% 0.79/1.15 list ( 12) 151 95 56 3 0.7 K
% 0.79/1.15 list_pos ( 20) 587 362 225 17 4.7 K
% 0.79/1.15 pair_index ( 40) 2 0 2 0 0.1 K
% 0.79/1.15
% 0.79/1.15 -------------- statistics -------------
% 0.79/1.15 Clauses input 5
% 0.79/1.15 Usable input 0
% 0.79/1.15 Sos input 5
% 0.79/1.15 Demodulators input 0
% 0.79/1.15 Passive input 0
% 0.79/1.15
% 0.79/1.15 Processed BS (before search) 5
% 0.79/1.15 Forward subsumed BS 0
% 0.79/1.15 Kept BS 5
% 0.79/1.15 New demodulators BS 4
% 0.79/1.15 Back demodulated BS 0
% 0.79/1.15
% 0.79/1.15 Clauses or pairs given 766
% 0.79/1.15 Clauses generated 401
% 0.79/1.15 Forward subsumed 292
% 0.79/1.15 Deleted by weight 0
% 0.79/1.15 Deleted by variable count 0
% 0.79/1.15 Kept 109
% 0.79/1.15 New demodulators 88
% 0.79/1.15 Back demodulated 74
% 0.79/1.15 Ordered paramod prunes 0
% 0.79/1.15 Basic paramod prunes 3380
% 0.79/1.15 Prime paramod prunes 83
% 0.79/1.15 Semantic prunes 0
% 0.79/1.15
% 0.79/1.15 Rewrite attmepts 3988
% 0.79/1.15 Rewrites 447
% 0.79/1.15
% 0.79/1.15 FPA overloads 0
% 0.79/1.15 FPA underloads 0
% 0.79/1.15
% 0.79/1.15 Usable size 0
% 0.79/1.15 Sos size 39
% 0.79/1.15 Demodulators size 34
% 0.79/1.15 Passive size 0
% 0.79/1.15 Disabled size 74
% 0.79/1.15
% 0.79/1.15 Proofs found 1
% 0.79/1.15
% 0.79/1.15 ----------- times (seconds) ----------- Mon Jun 13 10:00:23 2022
% 0.79/1.15
% 0.79/1.15 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.79/1.15 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.79/1.15 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.79/1.15 input time 0.00
% 0.79/1.15 paramodulation time 0.00
% 0.79/1.15 demodulation time 0.00
% 0.79/1.15 orient time 0.00
% 0.79/1.15 weigh time 0.00
% 0.79/1.15 forward subsume time 0.00
% 0.79/1.15 back demod find time 0.00
% 0.79/1.15 conflict time 0.00
% 0.79/1.15 LRPO time 0.00
% 0.79/1.15 store clause time 0.00
% 0.79/1.15 disable clause time 0.00
% 0.79/1.15 prime paramod time 0.00
% 0.79/1.15 semantics time 0.00
% 0.79/1.15
% 0.79/1.15 EQP interrupted
%------------------------------------------------------------------------------