TSTP Solution File: GRP577-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n008.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 08:48:03 EDT 2022
% Result : Unsatisfiable 0.42s 1.07s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 35 ( 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('GRP577-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP577-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP577-1.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(identity,identity),identity),
inference(demod,[status(thm),theory(equality)],[3,2,4]),
[iquote('demod([3,2,4])')] ).
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(17,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(18,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(22,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(23,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)],[22]),
[iquote('flip(22)')] ).
cnf(30,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)],[4,17]),
[iquote('para(4,17)')] ).
cnf(31,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)],[23]),30]),
[iquote('back_demod(23),demod([30])')] ).
cnf(32,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),identity),A),
inference(para,[status(thm),theory(equality)],[19,18]),
[iquote('para(19,18)')] ).
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(43,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(45,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)],[32,43]),1]),
[iquote('para(32,43),flip(1)')] ).
cnf(46,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)],[18]),45]),
[iquote('back_demod(18),demod([45])')] ).
cnf(55,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)],[31,46]),
[iquote('para(31,46)')] ).
cnf(56,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)],[55]),
[iquote('flip(55)')] ).
cnf(64,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),
inference(para,[status(thm),theory(equality)],[56,46]),
[iquote('para(56,46)')] ).
cnf(71,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)],[64,46]),4]),1]),
[iquote('para(64,46),demod([4]),flip(1)')] ).
cnf(72,plain,
$false,
inference(conflict,[status(thm)],[71,5]),
[iquote('conflict(71,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP577-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 06:19:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/1.07 ----- EQP 0.9e, May 2009 -----
% 0.42/1.07 The job began on n008.cluster.edu, Mon Jun 13 06:19:23 2022
% 0.42/1.07 The command was "./eqp09e".
% 0.42/1.07
% 0.42/1.07 set(prolog_style_variables).
% 0.42/1.07 set(lrpo).
% 0.42/1.07 set(basic_paramod).
% 0.42/1.07 set(functional_subsume).
% 0.42/1.07 set(ordered_paramod).
% 0.42/1.07 set(prime_paramod).
% 0.42/1.07 set(para_pairs).
% 0.42/1.07 assign(pick_given_ratio,4).
% 0.42/1.07 clear(print_kept).
% 0.42/1.07 clear(print_new_demod).
% 0.42/1.07 clear(print_back_demod).
% 0.42/1.07 clear(print_given).
% 0.42/1.07 assign(max_mem,64000).
% 0.42/1.07 end_of_commands.
% 0.42/1.07
% 0.42/1.07 Usable:
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Sos:
% 0.42/1.07 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.
% 0.42/1.07 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.42/1.07 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.42/1.07 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.42/1.07 0 (wt=-1) [] -(multiply(inverse(a1),a1) = identity).
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Demodulators:
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Passive:
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Starting to process input.
% 0.42/1.07
% 0.42/1.07 ** 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.
% 0.42/1.07 1 is a new demodulator.
% 0.42/1.07
% 0.42/1.07 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.42/1.07 2 is a new demodulator.
% 0.42/1.07
% 0.42/1.07 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.42/1.07 3 is a new demodulator.
% 0.42/1.07
% 0.42/1.07 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.42/1.07 4 is a new demodulator.
% 0.42/1.07
% 0.42/1.07 ** KEPT: 5 (wt=5) [demod([3,2,4])] -(double_divide(identity,identity) = identity).
% 0.42/1.07 ---------------- PROOF FOUND ----------------
% 0.42/1.07 % SZS status Unsatisfiable
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 After processing input:
% 0.42/1.07
% 0.42/1.07 Usable:
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Sos:
% 0.42/1.07 5 (wt=5) [demod([3,2,4])] -(double_divide(identity,identity) = identity).
% 0.42/1.07 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.42/1.07 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.42/1.07 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.42/1.07 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.
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Demodulators:
% 0.42/1.07 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.
% 0.42/1.07 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.42/1.07 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.42/1.07 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 Passive:
% 0.42/1.07 end_of_list.
% 0.42/1.07
% 0.42/1.07 UNIT CONFLICT from 71 and 5 at 0.01 seconds.
% 0.42/1.07
% 0.42/1.07 ---------------- PROOF ----------------
% 0.42/1.07 % SZS output start Refutation
% See solution above
% 0.42/1.07 ------------ end of proof -------------
% 0.42/1.07
% 0.42/1.07
% 0.42/1.07 ------------- memory usage ------------
% 0.42/1.07 Memory dynamically allocated (tp_alloc): 488.
% 0.42/1.07 type (bytes each) gets frees in use avail bytes
% 0.42/1.07 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.42/1.07 term ( 16) 4029 2507 1522 31 30.0 K
% 0.42/1.07 gen_ptr ( 8) 8172 523 7649 25 60.0 K
% 0.42/1.07 context ( 808) 4874 4872 2 3 3.9 K
% 0.42/1.07 trail ( 12) 277 277 0 6 0.1 K
% 0.42/1.07 bt_node ( 68) 2674 2669 5 20 1.7 K
% 0.42/1.07 ac_position (285432) 0 0 0 0 0.0 K
% 0.42/1.07 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.42/1.07 ac_match_free_vars_pos (4020)
% 0.42/1.07 0 0 0 0 0.0 K
% 0.42/1.07 discrim ( 12) 1802 161 1641 0 19.2 K
% 0.42/1.07 flat ( 40) 9150 9150 0 43 1.7 K
% 0.42/1.07 discrim_pos ( 12) 57 57 0 1 0.0 K
% 0.42/1.07 fpa_head ( 12) 625 0 625 0 7.3 K
% 0.42/1.07 fpa_tree ( 28) 643 643 0 21 0.6 K
% 0.42/1.07 fpa_pos ( 36) 128 128 0 1 0.0 K
% 0.42/1.07 literal ( 12) 193 122 71 1 0.8 K
% 0.42/1.07 clause ( 24) 193 122 71 1 1.7 K
% 0.42/1.07 list ( 12) 116 60 56 3 0.7 K
% 0.42/1.07 list_pos ( 20) 290 43 247 0 4.8 K
% 0.42/1.07 pair_index ( 40) 2 0 2 0 0.1 K
% 0.42/1.07
% 0.42/1.07 -------------- statistics -------------
% 0.42/1.07 Clauses input 5
% 0.42/1.07 Usable input 0
% 0.42/1.07 Sos input 5
% 0.42/1.07 Demodulators input 0
% 0.42/1.07 Passive input 0
% 0.42/1.07
% 0.42/1.07 Processed BS (before search) 5
% 0.42/1.07 Forward subsumed BS 0
% 0.42/1.07 Kept BS 5
% 0.42/1.07 New demodulators BS 4
% 0.42/1.07 Back demodulated BS 0
% 0.42/1.07
% 0.42/1.07 Clauses or pairs given 187
% 0.42/1.07 Clauses generated 110
% 0.42/1.07 Forward subsumed 44
% 0.42/1.07 Deleted by weight 0
% 0.42/1.07 Deleted by variable count 0
% 0.42/1.07 Kept 66
% 0.42/1.07 New demodulators 53
% 0.42/1.07 Back demodulated 8
% 0.42/1.07 Ordered paramod prunes 0
% 0.42/1.07 Basic paramod prunes 802
% 0.42/1.07 Prime paramod prunes 7
% 0.42/1.07 Semantic prunes 0
% 0.42/1.07
% 0.42/1.07 Rewrite attmepts 1766
% 0.42/1.07 Rewrites 43
% 0.42/1.07
% 0.42/1.07 FPA overloads 0
% 0.42/1.07 FPA underloads 0
% 0.42/1.07
% 0.42/1.07 Usable size 0
% 0.42/1.07 Sos size 62
% 0.42/1.07 Demodulators size 53
% 0.42/1.07 Passive size 0
% 0.42/1.07 Disabled size 8
% 0.42/1.07
% 0.42/1.07 Proofs found 1
% 0.42/1.07
% 0.42/1.07 ----------- times (seconds) ----------- Mon Jun 13 06:19:23 2022
% 0.42/1.07
% 0.42/1.07 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.42/1.07 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.42/1.07 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.42/1.07 input time 0.00
% 0.42/1.07 paramodulation time 0.00
% 0.42/1.07 demodulation time 0.00
% 0.42/1.07 orient time 0.00
% 0.42/1.07 weigh time 0.00
% 0.42/1.07 forward subsume time 0.00
% 0.42/1.07 back demod find time 0.00
% 0.42/1.07 conflict time 0.00
% 0.42/1.07 LRPO time 0.00
% 0.42/1.07 store clause time 0.00
% 0.42/1.07 disable clause time 0.00
% 0.42/1.07 prime paramod time 0.00
% 0.42/1.07 semantics time 0.00
% 0.42/1.07
% 0.42/1.07 EQP interrupted
%------------------------------------------------------------------------------