%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP466-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n016.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 08:47:33 EDT 2022
% Result : Unsatisfiable 0.40s 0.98s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 0 equ; 3 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),C),
file('GRP466-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,inverse(B))),
file('GRP466-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
~ equal(divide(inverse(b1),inverse(b1)),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[2,4]),
[iquote('para(2,4)')] ).
cnf(7,plain,
equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(E,E)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(28,plain,
equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),multiply(B,D))),divide(E,E)),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(29,plain,
equal(divide(A,A),divide(divide(B,B),divide(divide(divide(C,divide(D,E)),inverse(D)),multiply(C,E)))),
inference(flip,[status(thm),theory(equality)],[28]),
[iquote('flip(28)')] ).
cnf(35,plain,
equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),multiply(B,D))),multiply(inverse(E),E)),
inference(para,[status(thm),theory(equality)],[29,3]),
[iquote('para(29,3)')] ).
cnf(43,plain,
~ equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),multiply(B,D))),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[29,5]),
[iquote('para(29,5)')] ).
cnf(44,plain,
$false,
inference(conflict,[status(thm)],[43,35]),
[iquote('conflict(43,35)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP466-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 14 09:54:30 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.40/0.98 ----- EQP 0.9e, May 2009 -----
% 0.40/0.98 The job began on n016.cluster.edu, Tue Jun 14 09:54:31 2022
% 0.40/0.98 The command was "./eqp09e".
% 0.40/0.98
% 0.40/0.98 set(prolog_style_variables).
% 0.40/0.98 set(lrpo).
% 0.40/0.98 set(basic_paramod).
% 0.40/0.98 set(functional_subsume).
% 0.40/0.98 set(ordered_paramod).
% 0.40/0.98 set(prime_paramod).
% 0.40/0.98 set(para_pairs).
% 0.40/0.98 assign(pick_given_ratio,4).
% 0.40/0.98 clear(print_kept).
% 0.40/0.98 clear(print_new_demod).
% 0.40/0.98 clear(print_back_demod).
% 0.40/0.98 clear(print_given).
% 0.40/0.98 assign(max_mem,64000).
% 0.40/0.98 end_of_commands.
% 0.40/0.98
% 0.40/0.98 Usable:
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Sos:
% 0.40/0.98 0 (wt=-1) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 0.40/0.98 0 (wt=-1) [] multiply(A,B) = divide(A,inverse(B)).
% 0.40/0.98 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Demodulators:
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Passive:
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Starting to process input.
% 0.40/0.98
% 0.40/0.98 ** KEPT: 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 0.40/0.98 1 is a new demodulator.
% 0.40/0.98
% 0.40/0.98 ** KEPT: 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 0.40/0.98
% 0.40/0.98 ** KEPT: 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 0.40/0.98 clause forward subsumed: 0 (wt=8) [flip(3)] multiply(A,B) = divide(A,inverse(B)).
% 0.40/0.98
% 0.40/0.98 ** KEPT: 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.40/0.98 ---------------- PROOF FOUND ----------------
% 0.40/0.98 % SZS status Unsatisfiable
% 0.40/0.98
% 0.40/0.98
% 0.40/0.98 After processing input:
% 0.40/0.98
% 0.40/0.98 Usable:
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Sos:
% 0.40/0.98 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 0.40/0.98 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 0.40/0.98 4 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.40/0.98 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Demodulators:
% 0.40/0.98 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 Passive:
% 0.40/0.98 end_of_list.
% 0.40/0.98
% 0.40/0.98 UNIT CONFLICT from 43 and 35 at 0.00 seconds.
% 0.40/0.98
% 0.40/0.98 ---------------- PROOF ----------------
% 0.40/0.98 % SZS output start Refutation
% See solution above
% 0.40/0.98 ------------ end of proof -------------
% 0.40/0.98
% 0.40/0.98
% 0.40/0.98 ------------- memory usage ------------
% 0.40/0.98 Memory dynamically allocated (tp_alloc): 488.
% 0.40/0.98 type (bytes each) gets frees in use avail bytes
% 0.40/0.98 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.40/0.98 term ( 16) 2823 1824 999 23 19.8 K
% 0.40/0.98 gen_ptr ( 8) 4826 206 4620 10 36.2 K
% 0.40/0.98 context ( 808) 1902 1900 2 2 3.2 K
% 0.40/0.98 trail ( 12) 78 78 0 8 0.1 K
% 0.40/0.98 bt_node ( 68) 721 717 4 19 1.5 K
% 0.40/0.98 ac_position (285432) 0 0 0 0 0.0 K
% 0.40/0.98 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.40/0.98 ac_match_free_vars_pos (4020)
% 0.40/0.98 0 0 0 0 0.0 K
% 0.40/0.98 discrim ( 12) 772 0 772 0 9.0 K
% 0.40/0.98 flat ( 40) 4793 4793 0 43 1.7 K
% 0.40/0.98 discrim_pos ( 12) 36 36 0 1 0.0 K
% 0.40/0.98 fpa_head ( 12) 566 0 566 0 6.6 K
% 0.40/0.98 fpa_tree ( 28) 157 157 0 25 0.7 K
% 0.40/0.98 fpa_pos ( 36) 57 57 0 1 0.0 K
% 0.40/0.98 literal ( 12) 145 102 43 1 0.5 K
% 0.40/0.98 clause ( 24) 145 102 43 1 1.0 K
% 0.40/0.98 list ( 12) 73 17 56 3 0.7 K
% 0.40/0.98 list_pos ( 20) 143 3 140 0 2.7 K
% 0.40/0.98 pair_index ( 40) 2 0 2 0 0.1 K
% 0.40/0.98
% 0.40/0.98 -------------- statistics -------------
% 0.40/0.98 Clauses input 3
% 0.40/0.98 Usable input 0
% 0.40/0.98 Sos input 3
% 0.40/0.98 Demodulators input 0
% 0.40/0.98 Passive input 0
% 0.40/0.98
% 0.40/0.98 Processed BS (before search) 5
% 0.40/0.98 Forward subsumed BS 1
% 0.40/0.98 Kept BS 4
% 0.40/0.98 New demodulators BS 1
% 0.40/0.98 Back demodulated BS 0
% 0.40/0.98
% 0.40/0.98 Clauses or pairs given 74
% 0.40/0.98 Clauses generated 79
% 0.40/0.98 Forward subsumed 40
% 0.40/0.98 Deleted by weight 0
% 0.40/0.98 Deleted by variable count 0
% 0.40/0.98 Kept 39
% 0.40/0.98 New demodulators 13
% 0.40/0.98 Back demodulated 0
% 0.40/0.98 Ordered paramod prunes 0
% 0.40/0.98 Basic paramod prunes 164
% 0.40/0.98 Prime paramod prunes 0
% 0.40/0.98 Semantic prunes 0
% 0.40/0.98
% 0.40/0.98 Rewrite attmepts 974
% 0.40/0.98 Rewrites 14
% 0.40/0.98
% 0.40/0.98 FPA overloads 0
% 0.40/0.98 FPA underloads 0
% 0.40/0.98
% 0.40/0.98 Usable size 0
% 0.40/0.98 Sos size 42
% 0.40/0.98 Demodulators size 14
% 0.40/0.98 Passive size 0
% 0.40/0.98 Disabled size 0
% 0.40/0.98
% 0.40/0.98 Proofs found 1
% 0.40/0.98
% 0.40/0.98 ----------- times (seconds) ----------- Tue Jun 14 09:54:31 2022
% 0.40/0.98
% 0.40/0.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.40/0.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.40/0.98 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.40/0.98 input time 0.00
% 0.40/0.98 paramodulation time 0.00
% 0.40/0.98 demodulation time 0.00
% 0.40/0.98 orient time 0.00
% 0.40/0.98 weigh time 0.00
% 0.40/0.98 forward subsume time 0.00
% 0.40/0.98 back demod find time 0.00
% 0.40/0.98 conflict time 0.00
% 0.40/0.98 LRPO time 0.00
% 0.40/0.98 store clause time 0.00
% 0.40/0.98 disable clause time 0.00
% 0.40/0.98 prime paramod time 0.00
% 0.40/0.98 semantics time 0.00
% 0.40/0.98
% 0.40/0.98 EQP interrupted
%------------------------------------------------------------------------------