%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP484-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n021.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 0.46s 1.08s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 12 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 12 ( 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('GRP484-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP484-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP484-1.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(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(14,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)],[14]),15]),
[iquote('back_demod(14),demod([15])')] ).
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(24,plain,
$false,
inference(conflict,[status(thm)],[23,5]),
[iquote('conflict(23,5)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP484-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 11:26:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.46/1.08 ----- EQP 0.9e, May 2009 -----
% 0.46/1.08 The job began on n021.cluster.edu, Mon Jun 13 11:26:12 2022
% 0.46/1.08 The command was "./eqp09e".
% 0.46/1.08
% 0.46/1.08 set(prolog_style_variables).
% 0.46/1.08 set(lrpo).
% 0.46/1.08 set(basic_paramod).
% 0.46/1.08 set(functional_subsume).
% 0.46/1.08 set(ordered_paramod).
% 0.46/1.08 set(prime_paramod).
% 0.46/1.08 set(para_pairs).
% 0.46/1.08 assign(pick_given_ratio,4).
% 0.46/1.08 clear(print_kept).
% 0.46/1.08 clear(print_new_demod).
% 0.46/1.08 clear(print_back_demod).
% 0.46/1.08 clear(print_given).
% 0.46/1.08 assign(max_mem,64000).
% 0.46/1.08 end_of_commands.
% 0.46/1.08
% 0.46/1.08 Usable:
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Sos:
% 0.46/1.08 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.
% 0.46/1.08 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.46/1.08 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.46/1.08 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.46/1.08 0 (wt=-1) [] -(multiply(inverse(a1),a1) = identity).
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Demodulators:
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Passive:
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Starting to process input.
% 0.46/1.08
% 0.46/1.08 ** 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.
% 0.46/1.08 1 is a new demodulator.
% 0.46/1.08
% 0.46/1.08 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.46/1.08 2 is a new demodulator.
% 0.46/1.08
% 0.46/1.08 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.46/1.08 3 is a new demodulator.
% 0.46/1.08
% 0.46/1.08 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.46/1.08 4 is a new demodulator.
% 0.46/1.08
% 0.46/1.08 ** KEPT: 5 (wt=5) [demod([3,2,4])] -(double_divide(identity,identity) = identity).
% 0.46/1.08 ---------------- PROOF FOUND ----------------
% 0.46/1.08 % SZS status Unsatisfiable
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 After processing input:
% 0.46/1.08
% 0.46/1.08 Usable:
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Sos:
% 0.46/1.08 5 (wt=5) [demod([3,2,4])] -(double_divide(identity,identity) = identity).
% 0.46/1.08 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.46/1.08 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.46/1.08 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.46/1.08 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.
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Demodulators:
% 0.46/1.08 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.
% 0.46/1.08 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.46/1.08 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.46/1.08 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 Passive:
% 0.46/1.08 end_of_list.
% 0.46/1.08
% 0.46/1.08 UNIT CONFLICT from 23 and 5 at 0.00 seconds.
% 0.46/1.08
% 0.46/1.08 ---------------- PROOF ----------------
% 0.46/1.08 % SZS output start Refutation
% See solution above
% 0.46/1.08 ------------ end of proof -------------
% 0.46/1.08
% 0.46/1.08
% 0.46/1.08 ------------- memory usage ------------
% 0.46/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.46/1.08 type (bytes each) gets frees in use avail bytes
% 0.46/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.46/1.08 term ( 16) 1426 962 464 21 9.4 K
% 0.46/1.08 gen_ptr ( 8) 2694 387 2307 11 18.1 K
% 0.46/1.08 context ( 808) 1241 1239 2 3 3.9 K
% 0.46/1.08 trail ( 12) 64 64 0 5 0.1 K
% 0.46/1.08 bt_node ( 68) 550 547 3 12 1.0 K
% 0.46/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.46/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.46/1.08 ac_match_free_vars_pos (4020)
% 0.46/1.08 0 0 0 0 0.0 K
% 0.46/1.08 discrim ( 12) 600 179 421 0 4.9 K
% 0.46/1.08 flat ( 40) 2553 2553 0 27 1.1 K
% 0.46/1.08 discrim_pos ( 12) 20 20 0 1 0.0 K
% 0.46/1.08 fpa_head ( 12) 307 0 307 0 3.6 K
% 0.46/1.08 fpa_tree ( 28) 215 215 0 23 0.6 K
% 0.46/1.08 fpa_pos ( 36) 44 44 0 1 0.0 K
% 0.46/1.08 literal ( 12) 56 33 23 1 0.3 K
% 0.46/1.08 clause ( 24) 56 33 23 1 0.6 K
% 0.46/1.08 list ( 12) 80 24 56 3 0.7 K
% 0.46/1.08 list_pos ( 20) 102 30 72 0 1.4 K
% 0.46/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.46/1.08
% 0.46/1.08 -------------- statistics -------------
% 0.46/1.08 Clauses input 5
% 0.46/1.08 Usable input 0
% 0.46/1.08 Sos input 5
% 0.46/1.08 Demodulators input 0
% 0.46/1.08 Passive input 0
% 0.46/1.08
% 0.46/1.08 Processed BS (before search) 5
% 0.46/1.08 Forward subsumed BS 0
% 0.46/1.08 Kept BS 5
% 0.46/1.08 New demodulators BS 4
% 0.46/1.08 Back demodulated BS 0
% 0.46/1.08
% 0.46/1.08 Clauses or pairs given 39
% 0.46/1.08 Clauses generated 28
% 0.46/1.08 Forward subsumed 10
% 0.46/1.08 Deleted by weight 0
% 0.46/1.08 Deleted by variable count 0
% 0.46/1.08 Kept 18
% 0.46/1.08 New demodulators 17
% 0.46/1.08 Back demodulated 5
% 0.46/1.08 Ordered paramod prunes 0
% 0.46/1.08 Basic paramod prunes 37
% 0.46/1.08 Prime paramod prunes 2
% 0.46/1.08 Semantic prunes 0
% 0.46/1.08
% 0.46/1.08 Rewrite attmepts 480
% 0.46/1.08 Rewrites 18
% 0.46/1.08
% 0.46/1.08 FPA overloads 0
% 0.46/1.08 FPA underloads 0
% 0.46/1.08
% 0.46/1.08 Usable size 0
% 0.46/1.08 Sos size 17
% 0.46/1.08 Demodulators size 16
% 0.46/1.08 Passive size 0
% 0.46/1.08 Disabled size 5
% 0.46/1.08
% 0.46/1.08 Proofs found 1
% 0.46/1.08
% 0.46/1.08 ----------- times (seconds) ----------- Mon Jun 13 11:26:12 2022
% 0.46/1.08
% 0.46/1.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.46/1.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.46/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.46/1.08 input time 0.00
% 0.46/1.08 paramodulation time 0.00
% 0.46/1.08 demodulation time 0.00
% 0.46/1.08 orient time 0.00
% 0.46/1.08 weigh time 0.00
% 0.46/1.08 forward subsume time 0.00
% 0.46/1.08 back demod find time 0.00
% 0.46/1.08 conflict time 0.00
% 0.46/1.08 LRPO time 0.00
% 0.46/1.08 store clause time 0.00
% 0.46/1.08 disable clause time 0.00
% 0.46/1.08 prime paramod time 0.00
% 0.46/1.08 semantics time 0.00
% 0.46/1.08
% 0.46/1.08 EQP interrupted
%------------------------------------------------------------------------------