%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP482-1 : 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 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 0 equ; 1 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B),C),
file('GRP482-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP482-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP482-1.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(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),4]),
[iquote('back_demod(1),demod([4])')] ).
cnf(6,plain,
~ equal(double_divide(double_divide(a2,identity),identity),a2),
inference(demod,[status(thm),theory(equality)],[2]),
[iquote('demod([2])')] ).
cnf(7,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,identity))),B),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(15,plain,
equal(double_divide(double_divide(identity,identity),double_divide(A,identity)),A),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(17,plain,
equal(double_divide(identity,identity),identity),
inference(para,[status(thm),theory(equality)],[15,4]),
[iquote('para(15,4)')] ).
cnf(19,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),17]),
[iquote('back_demod(15),demod([17])')] ).
cnf(28,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,7]),19]),
[iquote('para(17,7),demod([19])')] ).
cnf(29,plain,
$false,
inference(conflict,[status(thm)],[28,6]),
[iquote('conflict(28,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP482-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 06:20:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.72/1.09 ----- EQP 0.9e, May 2009 -----
% 0.72/1.09 The job began on n014.cluster.edu, Mon Jun 13 06:20:53 2022
% 0.72/1.09 The command was "./eqp09e".
% 0.72/1.09
% 0.72/1.09 set(prolog_style_variables).
% 0.72/1.09 set(lrpo).
% 0.72/1.09 set(basic_paramod).
% 0.72/1.09 set(functional_subsume).
% 0.72/1.09 set(ordered_paramod).
% 0.72/1.09 set(prime_paramod).
% 0.72/1.09 set(para_pairs).
% 0.72/1.09 assign(pick_given_ratio,4).
% 0.72/1.09 clear(print_kept).
% 0.72/1.09 clear(print_new_demod).
% 0.72/1.09 clear(print_back_demod).
% 0.72/1.09 clear(print_given).
% 0.72/1.09 assign(max_mem,64000).
% 0.72/1.09 end_of_commands.
% 0.72/1.09
% 0.72/1.09 Usable:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Sos:
% 0.72/1.09 0 (wt=-1) [] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C.
% 0.72/1.09 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.09 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.72/1.09 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.72/1.09 0 (wt=-1) [] -(multiply(identity,a2) = a2).
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Demodulators:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Passive:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Starting to process input.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 1 (wt=21) [] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C.
% 0.72/1.09 1 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.09 2 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.09 3 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.09 4 is a new demodulator.
% 0.72/1.09 -> 4 back demodulating 1.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 5 (wt=17) [back_demod(1),demod([4])] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B) = C.
% 0.72/1.09 5 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 6 (wt=7) [demod([2])] -(double_divide(double_divide(a2,identity),identity) = a2).
% 0.72/1.09 ---------------- PROOF FOUND ----------------
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 After processing input:
% 0.72/1.09
% 0.72/1.09 Usable:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Sos:
% 0.72/1.09 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.09 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.09 6 (wt=7) [demod([2])] -(double_divide(double_divide(a2,identity),identity) = a2).
% 0.72/1.09 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.09 5 (wt=17) [back_demod(1),demod([4])] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B) = C.
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Demodulators:
% 0.72/1.09 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.72/1.09 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.72/1.09 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.72/1.09 5 (wt=17) [back_demod(1),demod([4])] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B) = C.
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Passive:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 UNIT CONFLICT from 28 and 6 at 0.00 seconds.
% 0.72/1.09
% 0.72/1.09 ---------------- PROOF ----------------
% 0.72/1.09 % SZS output start Refutation
% See solution above
% 0.72/1.09 ------------ end of proof -------------
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 ------------- memory usage ------------
% 0.72/1.09 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.09 type (bytes each) gets frees in use avail bytes
% 0.72/1.09 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.72/1.09 term ( 16) 1676 1223 453 23 9.2 K
% 0.72/1.09 gen_ptr ( 8) 2433 437 1996 11 15.7 K
% 0.72/1.09 context ( 808) 1276 1274 2 2 3.2 K
% 0.72/1.09 trail ( 12) 72 72 0 4 0.0 K
% 0.72/1.09 bt_node ( 68) 445 442 3 12 1.0 K
% 0.72/1.09 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.09 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.09 ac_match_free_vars_pos (4020)
% 0.72/1.09 0 0 0 0 0.0 K
% 0.72/1.09 discrim ( 12) 529 197 332 0 3.9 K
% 0.72/1.09 flat ( 40) 2682 2682 0 27 1.1 K
% 0.72/1.09 discrim_pos ( 12) 34 34 0 1 0.0 K
% 0.72/1.09 fpa_head ( 12) 272 0 272 0 3.2 K
% 0.72/1.09 fpa_tree ( 28) 136 136 0 13 0.4 K
% 0.72/1.09 fpa_pos ( 36) 50 50 0 1 0.0 K
% 0.72/1.09 literal ( 12) 76 48 28 1 0.3 K
% 0.72/1.09 clause ( 24) 76 48 28 1 0.7 K
% 0.72/1.09 list ( 12) 81 25 56 4 0.7 K
% 0.72/1.09 list_pos ( 20) 126 48 78 0 1.5 K
% 0.72/1.09 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.09
% 0.72/1.09 -------------- statistics -------------
% 0.72/1.09 Clauses input 5
% 0.72/1.09 Usable input 0
% 0.72/1.09 Sos input 5
% 0.72/1.09 Demodulators input 0
% 0.72/1.09 Passive input 0
% 0.72/1.09
% 0.72/1.09 Processed BS (before search) 6
% 0.72/1.09 Forward subsumed BS 0
% 0.72/1.09 Kept BS 6
% 0.72/1.09 New demodulators BS 5
% 0.72/1.09 Back demodulated BS 1
% 0.72/1.09
% 0.72/1.09 Clauses or pairs given 43
% 0.72/1.09 Clauses generated 39
% 0.72/1.09 Forward subsumed 17
% 0.72/1.09 Deleted by weight 0
% 0.72/1.09 Deleted by variable count 0
% 0.72/1.09 Kept 22
% 0.72/1.09 New demodulators 17
% 0.72/1.09 Back demodulated 8
% 0.72/1.09 Ordered paramod prunes 0
% 0.72/1.09 Basic paramod prunes 44
% 0.72/1.09 Prime paramod prunes 12
% 0.72/1.09 Semantic prunes 0
% 0.72/1.09
% 0.72/1.09 Rewrite attmepts 522
% 0.72/1.09 Rewrites 18
% 0.72/1.09
% 0.72/1.09 FPA overloads 0
% 0.72/1.09 FPA underloads 0
% 0.72/1.09
% 0.72/1.09 Usable size 0
% 0.72/1.09 Sos size 18
% 0.72/1.09 Demodulators size 15
% 0.72/1.09 Passive size 0
% 0.72/1.09 Disabled size 9
% 0.72/1.09
% 0.72/1.09 Proofs found 1
% 0.72/1.09
% 0.72/1.09 ----------- times (seconds) ----------- Mon Jun 13 06:20:53 2022
% 0.72/1.09
% 0.72/1.09 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.72/1.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.72/1.09 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.09 input time 0.00
% 0.72/1.09 paramodulation time 0.00
% 0.72/1.09 demodulation time 0.00
% 0.72/1.09 orient time 0.00
% 0.72/1.09 weigh time 0.00
% 0.72/1.09 forward subsume time 0.00
% 0.72/1.09 back demod find time 0.00
% 0.72/1.09 conflict time 0.00
% 0.72/1.09 LRPO time 0.00
% 0.72/1.09 store clause time 0.00
% 0.72/1.09 disable clause time 0.00
% 0.72/1.09 prime paramod time 0.00
% 0.72/1.09 semantics time 0.00
% 0.72/1.09
% 0.72/1.09 EQP interrupted
%------------------------------------------------------------------------------