%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP529-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.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 08:47:50 EDT 2022
% Result : Unsatisfiable 0.41s 1.08s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 3 RR)
% Number of literals : 19 ( 0 equ; 2 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 : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(A,divide(B,C)),divide(A,B)),C),
file('GRP529-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(divide(C,C),B))),
file('GRP529-1.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('GRP529-1.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(12,plain,
equal(divide(divide(A,B),divide(A,divide(C,divide(D,B)))),divide(C,D)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(13,plain,
equal(divide(A,divide(divide(B,divide(C,A)),B)),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(51,plain,
equal(inverse(divide(divide(A,B),A)),B),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(52,plain,
equal(divide(divide(A,A),divide(divide(B,C),B)),C),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[51,4]),1]),
[iquote('para(51,4),flip(1)')] ).
cnf(57,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(58,plain,
equal(multiply(A,B),divide(A,inverse(B))),
inference(flip,[status(thm),theory(equality)],[57]),
[iquote('flip(57)')] ).
cnf(75,plain,
~ equal(divide(inverse(b1),inverse(b1)),multiply(inverse(a1),a1)),
inference(para,[status(thm),theory(equality)],[58,6]),
[iquote('para(58,6)')] ).
cnf(177,plain,
equal(divide(A,divide(B,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),51]),1]),
[iquote('para(13,5),demod([51]),flip(1)')] ).
cnf(184,plain,
equal(divide(divide(A,B),divide(divide(C,D),C)),divide(A,divide(B,D))),
inference(para,[status(thm),theory(equality)],[12,1]),
[iquote('para(12,1)')] ).
cnf(185,plain,
equal(divide(A,divide(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[52]),184]),
[iquote('back_demod(52),demod([184])')] ).
cnf(212,plain,
equal(divide(A,A),divide(B,B)),
inference(para,[status(thm),theory(equality)],[177,185]),
[iquote('para(177,185)')] ).
cnf(251,plain,
equal(divide(A,A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[212,57]),
[iquote('para(212,57)')] ).
cnf(252,plain,
$false,
inference(conflict,[status(thm)],[251,75]),
[iquote('conflict(251,75)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP529-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n018.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 13:15:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.08 ----- EQP 0.9e, May 2009 -----
% 0.41/1.08 The job began on n018.cluster.edu, Mon Jun 13 13:15:28 2022
% 0.41/1.08 The command was "./eqp09e".
% 0.41/1.08
% 0.41/1.08 set(prolog_style_variables).
% 0.41/1.08 set(lrpo).
% 0.41/1.08 set(basic_paramod).
% 0.41/1.08 set(functional_subsume).
% 0.41/1.08 set(ordered_paramod).
% 0.41/1.08 set(prime_paramod).
% 0.41/1.08 set(para_pairs).
% 0.41/1.08 assign(pick_given_ratio,4).
% 0.41/1.08 clear(print_kept).
% 0.41/1.08 clear(print_new_demod).
% 0.41/1.08 clear(print_back_demod).
% 0.41/1.08 clear(print_given).
% 0.41/1.08 assign(max_mem,64000).
% 0.41/1.08 end_of_commands.
% 0.41/1.08
% 0.41/1.08 Usable:
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Sos:
% 0.41/1.08 0 (wt=-1) [] divide(divide(A,divide(B,C)),divide(A,B)) = C.
% 0.41/1.08 0 (wt=-1) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.41/1.08 0 (wt=-1) [] inverse(A) = divide(divide(B,B),A).
% 0.41/1.08 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Demodulators:
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Passive:
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Starting to process input.
% 0.41/1.08
% 0.41/1.08 ** KEPT: 1 (wt=11) [] divide(divide(A,divide(B,C)),divide(A,B)) = C.
% 0.41/1.08 1 is a new demodulator.
% 0.41/1.08
% 0.41/1.08 ** KEPT: 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.41/1.08
% 0.41/1.08 ** KEPT: 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 0.41/1.08 clause forward subsumed: 0 (wt=11) [flip(3)] multiply(A,C) = divide(A,divide(divide(B,B),C)).
% 0.41/1.08
% 0.41/1.08 ** KEPT: 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 0.41/1.08
% 0.41/1.08 ** KEPT: 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 0.41/1.08 clause forward subsumed: 0 (wt=8) [flip(5)] inverse(B) = divide(divide(A,A),B).
% 0.41/1.08
% 0.41/1.08 ** KEPT: 6 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.41/1.08 ---------------- PROOF FOUND ----------------
% 0.41/1.08 % SZS status Unsatisfiable
% 0.41/1.08
% 0.41/1.08
% 0.41/1.08 After processing input:
% 0.41/1.08
% 0.41/1.08 Usable:
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Sos:
% 0.41/1.08 4 (wt=8) [] inverse(A) = divide(divide(B,B),A).
% 0.41/1.08 5 (wt=8) [flip(4)] divide(divide(A,A),B) = inverse(B).
% 0.41/1.08 6 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.41/1.08 1 (wt=11) [] divide(divide(A,divide(B,C)),divide(A,B)) = C.
% 0.41/1.08 2 (wt=11) [] multiply(A,B) = divide(A,divide(divide(C,C),B)).
% 0.41/1.08 3 (wt=11) [flip(2)] divide(A,divide(divide(B,B),C)) = multiply(A,C).
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Demodulators:
% 0.41/1.08 1 (wt=11) [] divide(divide(A,divide(B,C)),divide(A,B)) = C.
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 Passive:
% 0.41/1.08 end_of_list.
% 0.41/1.08
% 0.41/1.08 UNIT CONFLICT from 251 and 75 at 0.01 seconds.
% 0.41/1.08
% 0.41/1.08 ---------------- PROOF ----------------
% 0.41/1.08 % SZS output start Refutation
% See solution above
% 0.73/1.08 ------------ end of proof -------------
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 ------------- memory usage ------------
% 0.73/1.08 Memory dynamically allocated (tp_alloc): 488.
% 0.73/1.08 type (bytes each) gets frees in use avail bytes
% 0.73/1.08 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.73/1.08 term ( 16) 9595 6439 3156 19 61.0 K
% 0.73/1.08 gen_ptr ( 8) 14213 3223 10990 18 86.0 K
% 0.73/1.08 context ( 808) 6716 6714 2 2 3.2 K
% 0.73/1.08 trail ( 12) 1220 1220 0 6 0.1 K
% 0.73/1.08 bt_node ( 68) 1627 1624 3 8 0.7 K
% 0.73/1.08 ac_position (285432) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.73/1.08 ac_match_free_vars_pos (4020)
% 0.73/1.08 0 0 0 0 0.0 K
% 0.73/1.08 discrim ( 12) 2085 913 1172 184 15.9 K
% 0.73/1.08 flat ( 40) 17974 17974 0 19 0.7 K
% 0.73/1.08 discrim_pos ( 12) 410 410 0 1 0.0 K
% 0.73/1.08 fpa_head ( 12) 877 0 877 0 10.3 K
% 0.73/1.08 fpa_tree ( 28) 496 496 0 19 0.5 K
% 0.73/1.08 fpa_pos ( 36) 328 328 0 1 0.0 K
% 0.73/1.08 literal ( 12) 957 706 251 1 3.0 K
% 0.73/1.08 clause ( 24) 957 706 251 1 5.9 K
% 0.73/1.08 list ( 12) 136 80 56 6 0.7 K
% 0.73/1.08 list_pos ( 20) 1133 592 541 79 12.1 K
% 0.73/1.08 pair_index ( 40) 2 0 2 0 0.1 K
% 0.73/1.08
% 0.73/1.08 -------------- statistics -------------
% 0.73/1.08 Clauses input 4
% 0.73/1.08 Usable input 0
% 0.73/1.08 Sos input 4
% 0.73/1.08 Demodulators input 0
% 0.73/1.08 Passive input 0
% 0.73/1.08
% 0.73/1.08 Processed BS (before search) 8
% 0.73/1.08 Forward subsumed BS 2
% 0.73/1.08 Kept BS 6
% 0.73/1.08 New demodulators BS 1
% 0.73/1.08 Back demodulated BS 0
% 0.73/1.08
% 0.73/1.08 Clauses or pairs given 381
% 0.73/1.08 Clauses generated 522
% 0.73/1.08 Forward subsumed 277
% 0.73/1.08 Deleted by weight 0
% 0.73/1.08 Deleted by variable count 0
% 0.73/1.08 Kept 245
% 0.73/1.08 New demodulators 76
% 0.73/1.08 Back demodulated 133
% 0.73/1.08 Ordered paramod prunes 0
% 0.73/1.08 Basic paramod prunes 510
% 0.73/1.08 Prime paramod prunes 5
% 0.73/1.08 Semantic prunes 0
% 0.73/1.08
% 0.73/1.08 Rewrite attmepts 3585
% 0.73/1.08 Rewrites 228
% 0.73/1.08
% 0.73/1.08 FPA overloads 0
% 0.73/1.08 FPA underloads 0
% 0.73/1.08
% 0.73/1.08 Usable size 0
% 0.73/1.08 Sos size 117
% 0.73/1.08 Demodulators size 57
% 0.73/1.08 Passive size 0
% 0.73/1.08 Disabled size 133
% 0.73/1.08
% 0.73/1.08 Proofs found 1
% 0.73/1.08
% 0.73/1.08 ----------- times (seconds) ----------- Mon Jun 13 13:15:28 2022
% 0.73/1.08
% 0.73/1.08 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.73/1.08 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.73/1.08 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.73/1.08 input time 0.00
% 0.73/1.08 paramodulation time 0.00
% 0.73/1.08 demodulation time 0.00
% 0.73/1.08 orient time 0.00
% 0.73/1.08 weigh time 0.00
% 0.73/1.08 forward subsume time 0.00
% 0.73/1.08 back demod find time 0.00
% 0.73/1.08 conflict time 0.00
% 0.73/1.08 LRPO time 0.00
% 0.73/1.08 store clause time 0.00
% 0.73/1.08 disable clause time 0.00
% 0.73/1.08 prime paramod time 0.00
% 0.73/1.08 semantics time 0.00
% 0.73/1.08
% 0.73/1.08 EQP interrupted
%------------------------------------------------------------------------------