TSTP Solution File: GRP462-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n022.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 08:47:32 EDT 2022
% Result : Unsatisfiable 0.72s 1.11s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 3 RR)
% Number of literals : 27 ( 0 equ; 2 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))),B),
file('GRP462-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(identity,B))),
file('GRP462-1.p',unknown),
[] ).
cnf(4,plain,
equal(divide(A,A),identity),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(divide(A,divide(divide(divide(identity,B),C),divide(divide(identity,A),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),4]),
[iquote('back_demod(1),demod([4])')] ).
cnf(6,plain,
~ equal(divide(divide(a3,divide(identity,b3)),divide(identity,c3)),divide(a3,divide(identity,divide(b3,divide(identity,c3))))),
inference(demod,[status(thm),theory(equality)],[2,2,2,2]),
[iquote('demod([2,2,2,2])')] ).
cnf(9,plain,
equal(divide(identity,divide(divide(divide(identity,A),B),divide(identity,B))),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(10,plain,
equal(divide(A,divide(divide(divide(identity,B),divide(identity,A)),identity)),B),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(11,plain,
equal(divide(A,identity),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(12,plain,
equal(divide(A,divide(divide(identity,B),divide(identity,A))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),11]),
[iquote('back_demod(10),demod([11])')] ).
cnf(14,plain,
equal(divide(identity,divide(identity,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,12]),11]),
[iquote('para(4,12),demod([11])')] ).
cnf(15,plain,
equal(divide(A,divide(B,divide(identity,A))),divide(identity,B)),
inference(para,[status(thm),theory(equality)],[14,12]),
[iquote('para(14,12)')] ).
cnf(16,plain,
equal(divide(identity,A),divide(B,divide(A,divide(identity,B)))),
inference(flip,[status(thm),theory(equality)],[15]),
[iquote('flip(15)')] ).
cnf(18,plain,
equal(divide(divide(identity,A),divide(B,A)),divide(identity,B)),
inference(para,[status(thm),theory(equality)],[14,15]),
[iquote('para(14,15)')] ).
cnf(22,plain,
equal(divide(identity,divide(divide(A,B),divide(identity,B))),divide(identity,A)),
inference(para,[status(thm),theory(equality)],[14,9]),
[iquote('para(14,9)')] ).
cnf(24,plain,
equal(divide(divide(A,B),divide(identity,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,14]),14]),1]),
[iquote('para(22,14),demod([14]),flip(1)')] ).
cnf(26,plain,
equal(divide(A,B),divide(identity,divide(B,A))),
inference(para,[status(thm),theory(equality)],[24,15]),
[iquote('para(24,15)')] ).
cnf(27,plain,
equal(divide(identity,divide(A,B)),divide(B,A)),
inference(flip,[status(thm),theory(equality)],[26]),
[iquote('flip(26)')] ).
cnf(28,plain,
equal(divide(A,divide(divide(B,C),divide(divide(identity,A),C))),divide(identity,B)),
inference(para,[status(thm),theory(equality)],[14,5]),
[iquote('para(14,5)')] ).
cnf(35,plain,
equal(divide(A,divide(divide(B,divide(C,divide(identity,B))),divide(identity,A))),C),
inference(para,[status(thm),theory(equality)],[16,12]),
[iquote('para(16,12)')] ).
cnf(37,plain,
equal(divide(A,divide(divide(B,C),divide(identity,A))),divide(C,B)),
inference(para,[status(thm),theory(equality)],[27,12]),
[iquote('para(27,12)')] ).
cnf(38,plain,
equal(divide(divide(A,divide(identity,B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),37]),
[iquote('back_demod(35),demod([37])')] ).
cnf(53,plain,
~ equal(divide(identity,divide(divide(identity,c3),divide(a3,divide(identity,b3)))),divide(a3,divide(identity,divide(b3,divide(identity,c3))))),
inference(para,[status(thm),theory(equality)],[26,6]),
[iquote('para(26,6)')] ).
cnf(61,plain,
equal(divide(A,divide(divide(B,divide(C,A)),divide(identity,C))),divide(identity,B)),
inference(para,[status(thm),theory(equality)],[18,28]),
[iquote('para(18,28)')] ).
cnf(137,plain,
equal(divide(A,divide(B,divide(identity,C))),divide(identity,divide(B,divide(identity,divide(C,A))))),
inference(para,[status(thm),theory(equality)],[38,61]),
[iquote('para(38,61)')] ).
cnf(138,plain,
equal(divide(identity,divide(A,divide(identity,divide(B,C)))),divide(C,divide(A,divide(identity,B)))),
inference(flip,[status(thm),theory(equality)],[137]),
[iquote('flip(137)')] ).
cnf(260,plain,
equal(divide(identity,divide(A,divide(B,divide(identity,C)))),divide(B,divide(identity,divide(C,A)))),
inference(para,[status(thm),theory(equality)],[138,14]),
[iquote('para(138,14)')] ).
cnf(261,plain,
$false,
inference(conflict,[status(thm)],[260,53]),
[iquote('conflict(260,53)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:48:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 ----- EQP 0.9e, May 2009 -----
% 0.72/1.11 The job began on n022.cluster.edu, Mon Jun 13 19:48:49 2022
% 0.72/1.11 The command was "./eqp09e".
% 0.72/1.11
% 0.72/1.11 set(prolog_style_variables).
% 0.72/1.11 set(lrpo).
% 0.72/1.11 set(basic_paramod).
% 0.72/1.11 set(functional_subsume).
% 0.72/1.11 set(ordered_paramod).
% 0.72/1.11 set(prime_paramod).
% 0.72/1.11 set(para_pairs).
% 0.72/1.11 assign(pick_given_ratio,4).
% 0.72/1.11 clear(print_kept).
% 0.72/1.11 clear(print_new_demod).
% 0.72/1.11 clear(print_back_demod).
% 0.72/1.11 clear(print_given).
% 0.72/1.11 assign(max_mem,64000).
% 0.72/1.11 end_of_commands.
% 0.72/1.11
% 0.72/1.11 Usable:
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Sos:
% 0.72/1.11 0 (wt=-1) [] divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))) = B.
% 0.72/1.11 0 (wt=-1) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.11 0 (wt=-1) [] inverse(A) = divide(identity,A).
% 0.72/1.11 0 (wt=-1) [] identity = divide(A,A).
% 0.72/1.11 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Demodulators:
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Passive:
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Starting to process input.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 1 (wt=17) [] divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))) = B.
% 0.72/1.11 1 is a new demodulator.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.11 2 is a new demodulator.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.11 3 is a new demodulator.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.11 4 is a new demodulator.
% 0.72/1.11 -> 4 back demodulating 1.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 5 (wt=15) [back_demod(1),demod([4])] divide(A,divide(divide(divide(identity,B),C),divide(divide(identity,A),C))) = B.
% 0.72/1.11 5 is a new demodulator.
% 0.72/1.11
% 0.72/1.11 ** KEPT: 6 (wt=19) [demod([2,2,2,2])] -(divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3))))).
% 0.72/1.11 ---------------- PROOF FOUND ----------------
% 0.72/1.11 % SZS status Unsatisfiable
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 After processing input:
% 0.72/1.11
% 0.72/1.11 Usable:
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Sos:
% 0.72/1.11 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.11 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.11 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.11 5 (wt=15) [back_demod(1),demod([4])] divide(A,divide(divide(divide(identity,B),C),divide(divide(identity,A),C))) = B.
% 0.72/1.11 6 (wt=19) [demod([2,2,2,2])] -(divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3))))).
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Demodulators:
% 0.72/1.11 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.11 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.11 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.11 5 (wt=15) [back_demod(1),demod([4])] divide(A,divide(divide(divide(identity,B),C),divide(divide(identity,A),C))) = B.
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 Passive:
% 0.72/1.11 end_of_list.
% 0.72/1.11
% 0.72/1.11 UNIT CONFLICT from 260 and 53 at 0.03 seconds.
% 0.72/1.11
% 0.72/1.11 ---------------- PROOF ----------------
% 0.72/1.11 % SZS output start Refutation
% See solution above
% 0.72/1.11 ------------ end of proof -------------
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 ------------- memory usage ------------
% 0.72/1.11 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.11 type (bytes each) gets frees in use avail bytes
% 0.72/1.11 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.72/1.11 term ( 16) 40442 36177 4265 22 82.7 K
% 0.72/1.11 gen_ptr ( 8) 26884 9649 17235 26 134.9 K
% 0.72/1.11 context ( 808) 32563 32561 2 3 3.9 K
% 0.72/1.11 trail ( 12) 1843 1843 0 7 0.1 K
% 0.72/1.11 bt_node ( 68) 14190 14187 3 10 0.9 K
% 0.72/1.11 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.11 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.11 ac_match_free_vars_pos (4020)
% 0.72/1.11 0 0 0 0 0.0 K
% 0.72/1.11 discrim ( 12) 3110 950 2160 32 25.7 K
% 0.72/1.11 flat ( 40) 73911 73911 0 27 1.1 K
% 0.72/1.11 discrim_pos ( 12) 2713 2713 0 1 0.0 K
% 0.72/1.11 fpa_head ( 12) 504 0 504 0 5.9 K
% 0.72/1.11 fpa_tree ( 28) 1946 1946 0 55 1.5 K
% 0.72/1.11 fpa_pos ( 36) 409 409 0 1 0.0 K
% 0.72/1.11 literal ( 12) 2065 1805 260 1 3.1 K
% 0.72/1.11 clause ( 24) 2065 1805 260 1 6.1 K
% 0.72/1.11 list ( 12) 208 152 56 4 0.7 K
% 0.72/1.11 list_pos ( 20) 1079 367 712 8 14.1 K
% 0.72/1.11 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.11
% 0.72/1.11 -------------- statistics -------------
% 0.72/1.11 Clauses input 5
% 0.72/1.11 Usable input 0
% 0.72/1.11 Sos input 5
% 0.72/1.11 Demodulators input 0
% 0.72/1.11 Passive input 0
% 0.72/1.11
% 0.72/1.11 Processed BS (before search) 6
% 0.72/1.11 Forward subsumed BS 0
% 0.72/1.11 Kept BS 6
% 0.72/1.11 New demodulators BS 5
% 0.72/1.11 Back demodulated BS 1
% 0.72/1.11
% 0.72/1.11 Clauses or pairs given 1483
% 0.72/1.11 Clauses generated 1451
% 0.72/1.11 Forward subsumed 1197
% 0.72/1.11 Deleted by weight 0
% 0.72/1.11 Deleted by variable count 0
% 0.72/1.11 Kept 254
% 0.72/1.11 New demodulators 144
% 0.72/1.11 Back demodulated 73
% 0.72/1.11 Ordered paramod prunes 0
% 0.72/1.11 Basic paramod prunes 6053
% 0.72/1.11 Prime paramod prunes 361
% 0.72/1.11 Semantic prunes 0
% 0.72/1.11
% 0.72/1.11 Rewrite attmepts 15354
% 0.72/1.11 Rewrites 1984
% 0.72/1.11
% 0.72/1.11 FPA overloads 0
% 0.72/1.11 FPA underloads 0
% 0.72/1.11
% 0.72/1.11 Usable size 0
% 0.72/1.11 Sos size 185
% 0.72/1.11 Demodulators size 83
% 0.72/1.11 Passive size 0
% 0.72/1.11 Disabled size 74
% 0.72/1.11
% 0.72/1.11 Proofs found 1
% 0.72/1.11
% 0.72/1.11 ----------- times (seconds) ----------- Mon Jun 13 19:48:49 2022
% 0.72/1.11
% 0.72/1.11 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.72/1.11 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.72/1.11 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.11 input time 0.00
% 0.72/1.11 paramodulation time 0.00
% 0.72/1.11 demodulation time 0.00
% 0.72/1.11 orient time 0.00
% 0.72/1.11 weigh time 0.00
% 0.72/1.11 forward subsume time 0.00
% 0.72/1.11 back demod find time 0.00
% 0.72/1.11 conflict time 0.00
% 0.72/1.11 LRPO time 0.00
% 0.72/1.11 store clause time 0.00
% 0.72/1.11 disable clause time 0.00
% 0.72/1.11 prime paramod time 0.00
% 0.72/1.11 semantics time 0.00
% 0.72/1.11
% 0.72/1.11 EQP interrupted
%------------------------------------------------------------------------------