TSTP Solution File: GRP521-1 by EQP---0.9e
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%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 08:47:48 EDT 2022
% Result : Unsatisfiable 0.52s 0.92s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 2 RR)
% Number of literals : 13 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(A,divide(B,divide(C,divide(A,B)))),C),
file('GRP521-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(divide(C,C),B))),
file('GRP521-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,divide(divide(B,B),C)),multiply(A,C)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
equal(inverse(A),divide(divide(B,B),A)),
file('GRP521-1.p',unknown),
[] ).
cnf(5,plain,
equal(divide(divide(A,A),B),inverse(B)),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(6,plain,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(7,plain,
equal(divide(divide(A,A),B),divide(divide(C,C),B)),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(54,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(71,plain,
equal(divide(A,A),divide(B,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,1]),1]),
[iquote('para(7,1),demod([1])')] ).
cnf(75,plain,
equal(multiply(inverse(A),A),divide(B,B)),
inference(para,[status(thm),theory(equality)],[54,71]),
[iquote('para(54,71)')] ).
cnf(76,plain,
equal(divide(A,A),multiply(inverse(B),B)),
inference(flip,[status(thm),theory(equality)],[75]),
[iquote('flip(75)')] ).
cnf(94,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[76,54]),
[iquote('para(76,54)')] ).
cnf(95,plain,
$false,
inference(conflict,[status(thm)],[94,6]),
[iquote('conflict(94,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.11 % Command : tptp2X_and_run_eqp %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 13 08:41:26 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.52/0.92 ----- EQP 0.9e, May 2009 -----
% 0.52/0.92 The job began on n032.cluster.edu, Mon Jun 13 08:41:27 2022
% 0.52/0.92 The command was "./eqp09e".
% 0.52/0.92
% 0.52/0.92 set(prolog_style_variables).
% 0.52/0.92 set(lrpo).
% 0.52/0.92 set(basic_paramod).
% 0.52/0.92 set(functional_subsume).
% 0.52/0.92 set(ordered_paramod).
% 0.52/0.92 set(prime_paramod).
% 0.52/0.92 set(para_pairs).
% 0.52/0.92 assign(pick_given_ratio,4).
% 0.52/0.92 clear(print_kept).
% 0.52/0.92 clear(print_new_demod).
% 0.52/0.92 clear(print_back_demod).
% 0.52/0.92 clear(print_given).
% 0.52/0.92 assign(max_mem,64000).
% 0.52/0.92 end_of_commands.
% 0.52/0.92
% 0.52/0.92 Usable:
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Sos:
% 0.52/0.92 0 (wt=-1) [] divide(A,divide(B,divide(C,divide(A,B)))) = C.
% 0.52/0.92 0 (wt=-1) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.52/0.92 0 (wt=-1) [] inverse(A) = divide(divide(B,B),A).
% 0.52/0.92 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Demodulators:
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Passive:
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Starting to process input.
% 0.52/0.92
% 0.52/0.92 ** KEPT: 1 (wt=11) [] divide(A,divide(B,divide(C,divide(A,B)))) = C.
% 0.52/0.92 1 is a new demodulator.
% 0.52/0.92
% 0.52/0.92 ** KEPT: 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.52/0.92
% 0.52/0.92 ** KEPT: 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 0.52/0.92 clause forward subsumed: 0 (wt=11) [flip(3)] multiply(A,C) = divide(A,divide(divide(B,B),C)).
% 0.52/0.92
% 0.52/0.92 ** KEPT: 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 0.52/0.92
% 0.52/0.92 ** KEPT: 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 0.52/0.92 clause forward subsumed: 0 (wt=8) [flip(5)] inverse(B) = divide(divide(A,A),B).
% 0.52/0.92
% 0.52/0.92 ** KEPT: 6 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.52/0.92 ---------------- PROOF FOUND ----------------
% 0.52/0.92 % SZS status Unsatisfiable
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 After processing input:
% 0.52/0.92
% 0.52/0.92 Usable:
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Sos:
% 0.52/0.92 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 0.52/0.92 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 0.52/0.92 6 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.52/0.92 1 (wt=11) [] divide(A,divide(B,divide(C,divide(A,B)))) = C.
% 0.52/0.92 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.52/0.92 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Demodulators:
% 0.52/0.92 1 (wt=11) [] divide(A,divide(B,divide(C,divide(A,B)))) = C.
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 Passive:
% 0.52/0.92 end_of_list.
% 0.52/0.92
% 0.52/0.92 UNIT CONFLICT from 94 and 6 at 0.00 seconds.
% 0.52/0.92
% 0.52/0.92 ---------------- PROOF ----------------
% 0.52/0.92 % SZS output start Refutation
% See solution above
% 0.52/0.92 ------------ end of proof -------------
% 0.52/0.92
% 0.52/0.92
% 0.52/0.92 ------------- memory usage ------------
% 0.52/0.92 Memory dynamically allocated (tp_alloc): 488.
% 0.52/0.92 type (bytes each) gets frees in use avail bytes
% 0.52/0.92 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.52/0.92 term ( 16) 3145 2039 1106 14 21.5 K
% 0.52/0.92 gen_ptr ( 8) 4044 246 3798 12 29.8 K
% 0.52/0.92 context ( 808) 1955 1953 2 2 3.2 K
% 0.52/0.92 trail ( 12) 56 56 0 4 0.0 K
% 0.52/0.92 bt_node ( 68) 448 445 3 6 0.6 K
% 0.52/0.92 ac_position (285432) 0 0 0 0 0.0 K
% 0.52/0.92 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.52/0.92 ac_match_free_vars_pos (4020)
% 0.52/0.92 0 0 0 0 0.0 K
% 0.52/0.92 discrim ( 12) 738 0 738 0 8.6 K
% 0.52/0.92 flat ( 40) 4827 4827 0 15 0.6 K
% 0.52/0.92 discrim_pos ( 12) 67 67 0 1 0.0 K
% 0.52/0.92 fpa_head ( 12) 541 0 541 0 6.3 K
% 0.52/0.92 fpa_tree ( 28) 86 86 0 9 0.2 K
% 0.52/0.92 fpa_pos ( 36) 109 109 0 1 0.0 K
% 0.52/0.92 literal ( 12) 334 240 94 1 1.1 K
% 0.52/0.92 clause ( 24) 334 240 94 1 2.2 K
% 0.52/0.92 list ( 12) 74 18 56 3 0.7 K
% 0.52/0.92 list_pos ( 20) 298 4 294 0 5.7 K
% 0.52/0.92 pair_index ( 40) 2 0 2 0 0.1 K
% 0.52/0.92
% 0.52/0.92 -------------- statistics -------------
% 0.52/0.92 Clauses input 4
% 0.52/0.92 Usable input 0
% 0.52/0.92 Sos input 4
% 0.52/0.92 Demodulators input 0
% 0.52/0.92 Passive input 0
% 0.52/0.92
% 0.52/0.92 Processed BS (before search) 8
% 0.52/0.92 Forward subsumed BS 2
% 0.52/0.92 Kept BS 6
% 0.52/0.92 New demodulators BS 1
% 0.52/0.92 Back demodulated BS 0
% 0.52/0.92
% 0.52/0.92 Clauses or pairs given 92
% 0.52/0.92 Clauses generated 158
% 0.52/0.92 Forward subsumed 70
% 0.52/0.92 Deleted by weight 0
% 0.52/0.92 Deleted by variable count 0
% 0.52/0.92 Kept 88
% 0.52/0.92 New demodulators 14
% 0.52/0.92 Back demodulated 0
% 0.52/0.92 Ordered paramod prunes 0
% 0.52/0.92 Basic paramod prunes 51
% 0.52/0.92 Prime paramod prunes 0
% 0.52/0.92 Semantic prunes 0
% 0.52/0.92
% 0.52/0.92 Rewrite attmepts 985
% 0.52/0.92 Rewrites 4
% 0.52/0.92
% 0.52/0.92 FPA overloads 0
% 0.52/0.92 FPA underloads 0
% 0.52/0.92
% 0.52/0.92 Usable size 0
% 0.52/0.92 Sos size 93
% 0.52/0.92 Demodulators size 15
% 0.52/0.92 Passive size 0
% 0.52/0.92 Disabled size 0
% 0.52/0.92
% 0.52/0.92 Proofs found 1
% 0.52/0.92
% 0.52/0.92 ----------- times (seconds) ----------- Mon Jun 13 08:41:27 2022
% 0.52/0.92
% 0.52/0.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.52/0.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 0.52/0.92 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.52/0.92 input time 0.00
% 0.52/0.92 paramodulation time 0.00
% 0.52/0.92 demodulation time 0.00
% 0.52/0.92 orient time 0.00
% 0.52/0.92 weigh time 0.00
% 0.52/0.92 forward subsume time 0.00
% 0.52/0.92 back demod find time 0.00
% 0.52/0.92 conflict time 0.00
% 0.52/0.92 LRPO time 0.00
% 0.52/0.92 store clause time 0.00
% 0.52/0.92 disable clause time 0.00
% 0.52/0.92 prime paramod time 0.00
% 0.52/0.92 semantics time 0.00
% 0.52/0.92
% 0.52/0.92 EQP interrupted
%------------------------------------------------------------------------------