TSTP Solution File: GRP485-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n014.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 08:47:37 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 5 RR)
% Number of literals : 26 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)),C),
file('GRP485-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP485-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP485-1.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(a2,identity),identity),a2),
inference(demod,[status(thm),theory(equality)],[2]),
[iquote('demod([2])')] ).
cnf(6,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(double_divide(C,D),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(A,double_divide(B,double_divide(double_divide(double_divide(double_divide(A,C),B),double_divide(C,identity)),identity))),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),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,double_divide(identity,double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,B),identity)),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(15,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,identity)),double_divide(double_divide(A,identity),identity)),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(16,plain,
equal(double_divide(double_divide(identity,identity),identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),15]),
[iquote('back_demod(11),demod([15])')] ).
cnf(20,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(double_divide(C,D),identity)),double_divide(identity,identity)),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),16]),
[iquote('back_demod(6),demod([16])')] ).
cnf(21,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(B,double_divide(double_divide(double_divide(double_divide(A,C),B),double_divide(C,identity)),identity))),double_divide(double_divide(double_divide(identity,identity),D),identity)),double_divide(identity,identity)),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,1]),16]),
[iquote('para(7,1),demod([16])')] ).
cnf(23,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)],[16,15]),4,16]),1]),
[iquote('para(16,15),demod([4,16]),flip(1)')] ).
cnf(25,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(B,double_divide(double_divide(double_divide(double_divide(A,C),B),double_divide(C,identity)),identity))),double_divide(double_divide(identity,D),identity)),identity),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),23,23]),
[iquote('back_demod(21),demod([23,23])')] ).
cnf(26,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(double_divide(C,D),identity)),identity),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),23]),
[iquote('back_demod(20),demod([23])')] ).
cnf(30,plain,
equal(double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),identity),double_divide(double_divide(A,B),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),23]),
[iquote('back_demod(10),demod([23])')] ).
cnf(32,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(double_divide(A,identity),identity))),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),23]),
[iquote('back_demod(9),demod([23])')] ).
cnf(34,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),identity),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),23]),
[iquote('back_demod(1),demod([23])')] ).
cnf(49,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),double_divide(C,double_divide(double_divide(double_divide(C,D),E),double_divide(D,identity)))),double_divide(B,identity))),F),identity),double_divide(double_divide(E,F),identity)),
inference(para,[status(thm),theory(equality)],[26,26]),
[iquote('para(26,26)')] ).
cnf(66,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,25]),25]),1]),
[iquote('para(30,25),demod([25]),flip(1)')] ).
cnf(86,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),D),identity),double_divide(double_divide(identity,D),double_divide(double_divide(C,identity),identity))),
inference(para,[status(thm),theory(equality)],[32,26]),
[iquote('para(32,26)')] ).
cnf(89,plain,
equal(double_divide(double_divide(identity,A),double_divide(B,identity)),double_divide(double_divide(B,A),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[49]),86,34]),
[iquote('back_demod(49),demod([86,34])')] ).
cnf(109,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,89]),66]),1]),
[iquote('para(23,89),demod([66]),flip(1)')] ).
cnf(110,plain,
$false,
inference(conflict,[status(thm)],[109,5]),
[iquote('conflict(109,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n014.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 22:46:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.11 ----- EQP 0.9e, May 2009 -----
% 0.71/1.11 The job began on n014.cluster.edu, Mon Jun 13 22:46:07 2022
% 0.71/1.11 The command was "./eqp09e".
% 0.71/1.11
% 0.71/1.11 set(prolog_style_variables).
% 0.71/1.11 set(lrpo).
% 0.71/1.11 set(basic_paramod).
% 0.71/1.11 set(functional_subsume).
% 0.71/1.11 set(ordered_paramod).
% 0.71/1.11 set(prime_paramod).
% 0.71/1.11 set(para_pairs).
% 0.71/1.11 assign(pick_given_ratio,4).
% 0.71/1.11 clear(print_kept).
% 0.71/1.11 clear(print_new_demod).
% 0.71/1.11 clear(print_back_demod).
% 0.71/1.11 clear(print_given).
% 0.71/1.11 assign(max_mem,64000).
% 0.71/1.11 end_of_commands.
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 0 (wt=-1) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.71/1.11 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.71/1.11 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.71/1.11 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.71/1.11 0 (wt=-1) [] -(multiply(identity,a2) = a2).
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Starting to process input.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.71/1.11 1 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.71/1.11 2 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.71/1.11 3 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.71/1.11 4 is a new demodulator.
% 0.71/1.11
% 0.71/1.11 ** KEPT: 5 (wt=7) [demod([2])] -(double_divide(double_divide(a2,identity),identity) = a2).
% 0.71/1.11 ---------------- PROOF FOUND ----------------
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 After processing input:
% 0.71/1.11
% 0.71/1.11 Usable:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Sos:
% 0.71/1.11 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.71/1.11 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.71/1.11 5 (wt=7) [demod([2])] -(double_divide(double_divide(a2,identity),identity) = a2).
% 0.71/1.11 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.71/1.11 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Demodulators:
% 0.71/1.11 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.71/1.11 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.71/1.11 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.71/1.11 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 Passive:
% 0.71/1.11 end_of_list.
% 0.71/1.11
% 0.71/1.11 UNIT CONFLICT from 109 and 5 at 0.01 seconds.
% 0.71/1.11
% 0.71/1.11 ---------------- PROOF ----------------
% 0.71/1.11 % SZS output start Refutation
% See solution above
% 0.71/1.11 ------------ end of proof -------------
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 ------------- memory usage ------------
% 0.71/1.11 Memory dynamically allocated (tp_alloc): 488.
% 0.71/1.11 type (bytes each) gets frees in use avail bytes
% 0.71/1.11 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.71/1.11 term ( 16) 8491 6169 2322 33 45.6 K
% 0.71/1.11 gen_ptr ( 8) 16536 4012 12524 25 98.0 K
% 0.71/1.11 context ( 808) 8376 8374 2 3 3.9 K
% 0.71/1.11 trail ( 12) 607 607 0 8 0.1 K
% 0.71/1.11 bt_node ( 68) 3770 3767 3 22 1.7 K
% 0.71/1.11 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.11 ac_match_free_vars_pos (4020)
% 0.71/1.11 0 0 0 0 0.0 K
% 0.71/1.11 discrim ( 12) 2193 1496 697 218 10.7 K
% 0.71/1.11 flat ( 40) 22695 22695 0 45 1.8 K
% 0.71/1.11 discrim_pos ( 12) 327 327 0 1 0.0 K
% 0.71/1.11 fpa_head ( 12) 624 0 624 0 7.3 K
% 0.71/1.11 fpa_tree ( 28) 873 873 0 23 0.6 K
% 0.71/1.11 fpa_pos ( 36) 212 212 0 1 0.0 K
% 0.71/1.11 literal ( 12) 377 268 109 1 1.3 K
% 0.71/1.11 clause ( 24) 377 268 109 1 2.6 K
% 0.71/1.11 list ( 12) 162 106 56 3 0.7 K
% 0.71/1.11 list_pos ( 20) 558 318 240 0 4.7 K
% 0.71/1.11 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.11
% 0.71/1.11 -------------- statistics -------------
% 0.71/1.11 Clauses input 5
% 0.71/1.11 Usable input 0
% 0.71/1.11 Sos input 5
% 0.71/1.11 Demodulators input 0
% 0.71/1.11 Passive input 0
% 0.71/1.11
% 0.71/1.11 Processed BS (before search) 5
% 0.71/1.11 Forward subsumed BS 0
% 0.71/1.11 Kept BS 5
% 0.71/1.11 New demodulators BS 4
% 0.71/1.11 Back demodulated BS 0
% 0.71/1.11
% 0.71/1.11 Clauses or pairs given 291
% 0.71/1.11 Clauses generated 237
% 0.71/1.11 Forward subsumed 133
% 0.71/1.11 Deleted by weight 0
% 0.71/1.11 Deleted by variable count 0
% 0.71/1.11 Kept 104
% 0.71/1.11 New demodulators 99
% 0.71/1.11 Back demodulated 63
% 0.71/1.11 Ordered paramod prunes 0
% 0.71/1.11 Basic paramod prunes 1278
% 0.71/1.11 Prime paramod prunes 35
% 0.71/1.11 Semantic prunes 0
% 0.71/1.11
% 0.71/1.11 Rewrite attmepts 3684
% 0.71/1.11 Rewrites 286
% 0.71/1.11
% 0.71/1.11 FPA overloads 0
% 0.71/1.11 FPA underloads 0
% 0.71/1.11
% 0.71/1.11 Usable size 0
% 0.71/1.11 Sos size 45
% 0.71/1.11 Demodulators size 42
% 0.71/1.11 Passive size 0
% 0.71/1.11 Disabled size 63
% 0.71/1.11
% 0.71/1.11 Proofs found 1
% 0.71/1.11
% 0.71/1.11 ----------- times (seconds) ----------- Mon Jun 13 22:46:07 2022
% 0.71/1.11
% 0.71/1.11 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.11 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.71/1.11 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.71/1.11 input time 0.00
% 0.71/1.11 paramodulation time 0.00
% 0.71/1.11 demodulation time 0.00
% 0.71/1.11 orient time 0.00
% 0.71/1.11 weigh time 0.00
% 0.71/1.11 forward subsume time 0.00
% 0.71/1.11 back demod find time 0.00
% 0.71/1.11 conflict time 0.00
% 0.71/1.11 LRPO time 0.00
% 0.71/1.11 store clause time 0.00
% 0.71/1.11 disable clause time 0.00
% 0.71/1.11 prime paramod time 0.00
% 0.71/1.11 semantics time 0.00
% 0.71/1.11
% 0.71/1.11 EQP interrupted
%------------------------------------------------------------------------------