TSTP Solution File: GRP580-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : Sat Jul 16 08:48:04 EDT 2022
% Result : Unsatisfiable 0.43s 1.16s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 5 RR)
% Number of literals : 34 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),C),
file('GRP580-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP580-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP580-1.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(identity,identity),double_divide(double_divide(A,B),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),A),double_divide(D,identity))),identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(identity,B)),C),double_divide(A,identity)),double_divide(double_divide(B,C),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(9,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,B),double_divide(A,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,double_divide(identity,double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(B,A),identity)),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,double_divide(identity,double_divide(A,identity))),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[10]),
[iquote('flip(10)')] ).
cnf(12,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,identity))),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(13,plain,
equal(double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(identity,identity)),A),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(19,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,identity)),double_divide(double_divide(identity,A),identity)),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(23,plain,
equal(double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),double_divide(double_divide(double_divide(A,B),B),double_divide(A,identity))),
inference(para,[status(thm),theory(equality)],[4,6]),
[iquote('para(4,6)')] ).
cnf(24,plain,
equal(double_divide(double_divide(double_divide(A,B),B),double_divide(A,identity)),double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[23]),
[iquote('flip(23)')] ).
cnf(27,plain,
equal(double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[4,12]),
[iquote('para(4,12)')] ).
cnf(28,plain,
equal(double_divide(double_divide(double_divide(A,B),B),double_divide(A,identity)),double_divide(identity,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),27]),
[iquote('back_demod(24),demod([27])')] ).
cnf(32,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),identity),A),
inference(para,[status(thm),theory(equality)],[19,13]),
[iquote('para(19,13)')] ).
cnf(41,plain,
equal(double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(A,B),double_divide(identity,identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(42,plain,
equal(double_divide(double_divide(double_divide(identity,A),identity),double_divide(identity,identity)),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,41]),4]),
[iquote('para(4,41),demod([4])')] ).
cnf(43,plain,
equal(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(A,double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[32,42]),1]),
[iquote('para(32,42),flip(1)')] ).
cnf(44,plain,
equal(double_divide(double_divide(A,double_divide(identity,identity)),double_divide(identity,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),43]),
[iquote('back_demod(13),demod([43])')] ).
cnf(49,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),double_divide(double_divide(identity,A),A)),
inference(para,[status(thm),theory(equality)],[28,44]),
[iquote('para(28,44)')] ).
cnf(50,plain,
equal(double_divide(double_divide(identity,A),A),double_divide(double_divide(identity,identity),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[49]),
[iquote('flip(49)')] ).
cnf(58,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),
inference(para,[status(thm),theory(equality)],[50,44]),
[iquote('para(50,44)')] ).
cnf(65,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)],[58,44]),4]),1]),
[iquote('para(58,44),demod([4]),flip(1)')] ).
cnf(93,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[44]),65,65]),
[iquote('back_demod(44),demod([65,65])')] ).
cnf(95,plain,
equal(double_divide(identity,A),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[43]),93,65]),
[iquote('back_demod(43),demod([93,65])')] ).
cnf(96,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(flip,[status(thm),theory(equality)],[95]),
[iquote('flip(95)')] ).
cnf(121,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,double_divide(identity,double_divide(A,identity))),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),65]),
[iquote('back_demod(11),demod([65])')] ).
cnf(122,plain,
equal(double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),identity),double_divide(double_divide(B,A),identity)),
inference(flip,[status(thm),theory(equality)],[121]),
[iquote('flip(121)')] ).
cnf(132,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(para,[status(thm),theory(equality)],[96,93]),
[iquote('para(96,93)')] ).
cnf(135,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,A),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[122]),132]),
[iquote('back_demod(122),demod([132])')] ).
cnf(136,plain,
$false,
inference(conflict,[status(thm)],[135,5]),
[iquote('conflict(135,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % 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 : Mon Jun 13 20:13:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.43/1.16 ----- EQP 0.9e, May 2009 -----
% 0.43/1.16 The job began on n020.cluster.edu, Mon Jun 13 20:13:50 2022
% 0.43/1.16 The command was "./eqp09e".
% 0.43/1.16
% 0.43/1.16 set(prolog_style_variables).
% 0.43/1.16 set(lrpo).
% 0.43/1.16 set(basic_paramod).
% 0.43/1.16 set(functional_subsume).
% 0.43/1.16 set(ordered_paramod).
% 0.43/1.16 set(prime_paramod).
% 0.43/1.16 set(para_pairs).
% 0.43/1.16 assign(pick_given_ratio,4).
% 0.43/1.16 clear(print_kept).
% 0.43/1.16 clear(print_new_demod).
% 0.43/1.16 clear(print_back_demod).
% 0.43/1.16 clear(print_given).
% 0.43/1.16 assign(max_mem,64000).
% 0.43/1.16 end_of_commands.
% 0.43/1.16
% 0.43/1.16 Usable:
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Sos:
% 0.43/1.16 0 (wt=-1) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.43/1.16 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.43/1.16 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.43/1.16 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.43/1.16 0 (wt=-1) [] -(multiply(a,b) = multiply(b,a)).
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Demodulators:
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Passive:
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Starting to process input.
% 0.43/1.16
% 0.43/1.16 ** KEPT: 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.43/1.16 1 is a new demodulator.
% 0.43/1.16
% 0.43/1.16 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.43/1.16 2 is a new demodulator.
% 0.43/1.16
% 0.43/1.16 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.43/1.16 3 is a new demodulator.
% 0.43/1.16
% 0.43/1.16 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.43/1.16 4 is a new demodulator.
% 0.43/1.16
% 0.43/1.16 ** KEPT: 5 (wt=11) [demod([2,2])] -(double_divide(double_divide(b,a),identity) = double_divide(double_divide(a,b),identity)).
% 0.43/1.16 ---------------- PROOF FOUND ----------------
% 0.43/1.16 % SZS status Unsatisfiable
% 0.43/1.16
% 0.43/1.16
% 0.43/1.16 After processing input:
% 0.43/1.16
% 0.43/1.16 Usable:
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Sos:
% 0.43/1.16 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.43/1.16 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.43/1.16 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.43/1.16 5 (wt=11) [demod([2,2])] -(double_divide(double_divide(b,a),identity) = double_divide(double_divide(a,b),identity)).
% 0.43/1.16 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Demodulators:
% 0.43/1.16 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.43/1.16 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.43/1.16 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.43/1.16 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 Passive:
% 0.43/1.16 end_of_list.
% 0.43/1.16
% 0.43/1.16 UNIT CONFLICT from 135 and 5 at 0.01 seconds.
% 0.43/1.16
% 0.43/1.16 ---------------- PROOF ----------------
% 0.43/1.16 % SZS output start Refutation
% See solution above
% 0.43/1.16 ------------ end of proof -------------
% 0.43/1.16
% 0.43/1.16
% 0.43/1.16 ------------- memory usage ------------
% 0.43/1.16 Memory dynamically allocated (tp_alloc): 488.
% 0.43/1.16 type (bytes each) gets frees in use avail bytes
% 0.43/1.16 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.43/1.16 term ( 16) 6788 4090 2698 29 52.7 K
% 0.43/1.16 gen_ptr ( 8) 18388 4604 13784 33 107.9 K
% 0.43/1.16 context ( 808) 6907 6905 2 3 3.9 K
% 0.43/1.16 trail ( 12) 1041 1041 0 6 0.1 K
% 0.43/1.16 bt_node ( 68) 2757 2754 3 22 1.7 K
% 0.43/1.16 ac_position (285432) 0 0 0 0 0.0 K
% 0.43/1.16 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.43/1.16 ac_match_free_vars_pos (4020)
% 0.43/1.16 0 0 0 0 0.0 K
% 0.43/1.16 discrim ( 12) 3049 2478 571 909 17.3 K
% 0.43/1.16 flat ( 40) 16200 16200 0 43 1.7 K
% 0.43/1.16 discrim_pos ( 12) 241 241 0 1 0.0 K
% 0.43/1.16 fpa_head ( 12) 655 0 655 0 7.7 K
% 0.43/1.16 fpa_tree ( 28) 1115 1115 0 21 0.6 K
% 0.43/1.16 fpa_pos ( 36) 252 252 0 1 0.0 K
% 0.43/1.16 literal ( 12) 371 236 135 1 1.6 K
% 0.43/1.16 clause ( 24) 371 236 135 1 3.2 K
% 0.43/1.16 list ( 12) 176 119 57 4 0.7 K
% 0.43/1.16 list_pos ( 20) 765 521 244 54 5.8 K
% 0.43/1.16 pair_index ( 40) 2 0 2 0 0.1 K
% 0.43/1.16
% 0.43/1.16 -------------- statistics -------------
% 0.43/1.16 Clauses input 5
% 0.43/1.16 Usable input 0
% 0.43/1.16 Sos input 5
% 0.43/1.16 Demodulators input 0
% 0.43/1.16 Passive input 0
% 0.43/1.16
% 0.43/1.16 Processed BS (before search) 5
% 0.43/1.16 Forward subsumed BS 0
% 0.43/1.16 Kept BS 5
% 0.43/1.16 New demodulators BS 4
% 0.43/1.16 Back demodulated BS 0
% 0.43/1.16
% 0.43/1.16 Clauses or pairs given 202
% 0.43/1.16 Clauses generated 212
% 0.43/1.16 Forward subsumed 82
% 0.43/1.16 Deleted by weight 0
% 0.43/1.16 Deleted by variable count 0
% 0.43/1.16 Kept 130
% 0.43/1.16 New demodulators 113
% 0.43/1.16 Back demodulated 98
% 0.43/1.16 Ordered paramod prunes 0
% 0.43/1.16 Basic paramod prunes 833
% 0.43/1.16 Prime paramod prunes 9
% 0.43/1.16 Semantic prunes 0
% 0.43/1.16
% 0.43/1.16 Rewrite attmepts 3422
% 0.43/1.16 Rewrites 219
% 0.43/1.16
% 0.43/1.16 FPA overloads 0
% 0.43/1.16 FPA underloads 0
% 0.43/1.16
% 0.43/1.16 Usable size 0
% 0.43/1.16 Sos size 36
% 0.43/1.16 Demodulators size 32
% 0.43/1.16 Passive size 0
% 0.43/1.16 Disabled size 98
% 0.43/1.16
% 0.43/1.16 Proofs found 1
% 0.43/1.16
% 0.43/1.16 ----------- times (seconds) ----------- Mon Jun 13 20:13:50 2022
% 0.43/1.16
% 0.43/1.16 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.43/1.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.43/1.16 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.43/1.16 input time 0.00
% 0.43/1.16 paramodulation time 0.00
% 0.43/1.16 demodulation time 0.00
% 0.43/1.16 orient time 0.00
% 0.43/1.16 weigh time 0.00
% 0.43/1.16 forward subsume time 0.00
% 0.43/1.16 back demod find time 0.00
% 0.43/1.16 conflict time 0.00
% 0.43/1.16 LRPO time 0.00
% 0.43/1.16 store clause time 0.00
% 0.43/1.16 disable clause time 0.00
% 0.43/1.16 prime paramod time 0.00
% 0.43/1.16 semantics time 0.00
% 0.43/1.16
% 0.43/1.16 EQP interrupted
%------------------------------------------------------------------------------