%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n023.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 : Thu Jul 14 23:37:30 EDT 2022
% Result : Unsatisfiable 0.74s 1.18s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 2 RR)
% Number of literals : 22 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 45 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(add(A,multiply(B,multiply(A,C))),A),
file('BOO029-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(add(A,B),add(A,inverse(B))),A),
file('BOO029-1.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(A,add(B,add(A,C))),A),
file('BOO029-1.p',unknown),
[] ).
cnf(6,plain,
equal(add(multiply(A,B),multiply(A,inverse(B))),A),
file('BOO029-1.p',unknown),
[] ).
cnf(7,plain,
equal(add(A,B),add(B,A)),
file('BOO029-1.p',unknown),
[] ).
cnf(8,plain,
equal(multiply(A,B),multiply(B,A)),
file('BOO029-1.p',unknown),
[] ).
cnf(9,plain,
equal(add(add(A,B),C),add(A,add(B,C))),
file('BOO029-1.p',unknown),
[] ).
cnf(11,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
file('BOO029-1.p',unknown),
[] ).
cnf(13,plain,
~ equal(add(b,inverse(b)),add(a,inverse(a))),
file('BOO029-1.p',unknown),
[] ).
cnf(26,plain,
equal(multiply(A,add(B,A)),A),
inference(para,[status(thm),theory(equality)],[1,4]),
[iquote('para(1,4)')] ).
cnf(29,plain,
equal(multiply(A,add(A,B)),A),
inference(para,[status(thm),theory(equality)],[7,26]),
[iquote('para(7,26)')] ).
cnf(30,plain,
equal(multiply(add(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,8]),1]),
[iquote('para(26,8),flip(1)')] ).
cnf(37,plain,
equal(multiply(A,multiply(B,add(C,A))),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,4]),11]),
[iquote('para(6,4),demod([11])')] ).
cnf(45,plain,
equal(add(multiply(A,B),multiply(inverse(B),A)),A),
inference(para,[status(thm),theory(equality)],[8,6]),
[iquote('para(8,6)')] ).
cnf(117,plain,
equal(add(A,multiply(inverse(A),add(B,A))),add(B,A)),
inference(para,[status(thm),theory(equality)],[30,45]),
[iquote('para(30,45)')] ).
cnf(188,plain,
equal(multiply(inverse(A),add(B,A)),multiply(inverse(A),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,37]),1]),
[iquote('para(3,37),flip(1)')] ).
cnf(189,plain,
equal(add(A,multiply(inverse(A),B)),add(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[117]),188]),
[iquote('back_demod(117),demod([188])')] ).
cnf(200,plain,
equal(add(A,add(inverse(B),B)),add(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,189]),9]),1]),
[iquote('para(26,189),demod([9]),flip(1)')] ).
cnf(369,plain,
equal(multiply(A,add(B,inverse(B))),A),
inference(para,[status(thm),theory(equality)],[200,29]),
[iquote('para(200,29)')] ).
cnf(375,plain,
equal(multiply(add(A,inverse(A)),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[369,8]),1]),
[iquote('para(369,8),flip(1)')] ).
cnf(392,plain,
equal(add(A,inverse(A)),add(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[375,369]),
[iquote('para(375,369)')] ).
cnf(393,plain,
$false,
inference(conflict,[status(thm)],[392,13]),
[iquote('conflict(392,13)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 00:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.18 ----- EQP 0.9e, May 2009 -----
% 0.74/1.18 The job began on n023.cluster.edu, Thu Jun 2 00:30:41 2022
% 0.74/1.18 The command was "./eqp09e".
% 0.74/1.18
% 0.74/1.18 set(prolog_style_variables).
% 0.74/1.18 set(lrpo).
% 0.74/1.18 set(basic_paramod).
% 0.74/1.18 set(functional_subsume).
% 0.74/1.18 set(ordered_paramod).
% 0.74/1.18 set(prime_paramod).
% 0.74/1.18 set(para_pairs).
% 0.74/1.18 assign(pick_given_ratio,4).
% 0.74/1.18 clear(print_kept).
% 0.74/1.18 clear(print_new_demod).
% 0.74/1.18 clear(print_back_demod).
% 0.74/1.18 clear(print_given).
% 0.74/1.18 assign(max_mem,64000).
% 0.74/1.18 end_of_commands.
% 0.74/1.18
% 0.74/1.18 Usable:
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Sos:
% 0.74/1.18 0 (wt=-1) [] add(A,multiply(B,multiply(A,C))) = A.
% 0.74/1.18 0 (wt=-1) [] add(add(multiply(A,B),multiply(B,C)),B) = B.
% 0.74/1.18 0 (wt=-1) [] multiply(add(A,B),add(A,inverse(B))) = A.
% 0.74/1.18 0 (wt=-1) [] multiply(A,add(B,add(A,C))) = A.
% 0.74/1.18 0 (wt=-1) [] multiply(multiply(add(A,B),add(B,C)),B) = B.
% 0.74/1.18 0 (wt=-1) [] add(multiply(A,B),multiply(A,inverse(B))) = A.
% 0.74/1.18 0 (wt=-1) [] add(A,B) = add(B,A).
% 0.74/1.18 0 (wt=-1) [] multiply(A,B) = multiply(B,A).
% 0.74/1.18 0 (wt=-1) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.74/1.18 0 (wt=-1) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.74/1.18 0 (wt=-1) [] -(add(b,inverse(b)) = add(a,inverse(a))).
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Demodulators:
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Passive:
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Starting to process input.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 1 (wt=9) [] add(A,multiply(B,multiply(A,C))) = A.
% 0.74/1.18 1 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 2 (wt=11) [] add(add(multiply(A,B),multiply(B,C)),B) = B.
% 0.74/1.18 2 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 3 (wt=10) [] multiply(add(A,B),add(A,inverse(B))) = A.
% 0.74/1.18 3 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 4 (wt=9) [] multiply(A,add(B,add(A,C))) = A.
% 0.74/1.18 4 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 5 (wt=11) [] multiply(multiply(add(A,B),add(B,C)),B) = B.
% 0.74/1.18 5 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 6 (wt=10) [] add(multiply(A,B),multiply(A,inverse(B))) = A.
% 0.74/1.18 6 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 7 (wt=7) [] add(A,B) = add(B,A).
% 0.74/1.18 clause forward subsumed: 0 (wt=7) [flip(7)] add(B,A) = add(A,B).
% 0.74/1.18
% 0.74/1.18 ** KEPT: 8 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.74/1.18 clause forward subsumed: 0 (wt=7) [flip(8)] multiply(B,A) = multiply(A,B).
% 0.74/1.18
% 0.74/1.18 ** KEPT: 9 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.74/1.18 9 is a new demodulator.
% 0.74/1.18 -> 9 back demodulating 2.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 10 (wt=11) [back_demod(2),demod([9])] add(multiply(A,B),add(multiply(B,C),B)) = B.
% 0.74/1.18 10 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 11 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.74/1.18 11 is a new demodulator.
% 0.74/1.18 -> 11 back demodulating 5.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 12 (wt=11) [back_demod(5),demod([11])] multiply(add(A,B),multiply(add(B,C),B)) = B.
% 0.74/1.18 12 is a new demodulator.
% 0.74/1.18
% 0.74/1.18 ** KEPT: 13 (wt=9) [] -(add(b,inverse(b)) = add(a,inverse(a))).
% 0.74/1.18 ---------------- PROOF FOUND ----------------
% 0.74/1.18 % SZS status Unsatisfiable
% 0.74/1.18
% 0.74/1.18
% 0.74/1.18 After processing input:
% 0.74/1.18
% 0.74/1.18 Usable:
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Sos:
% 0.74/1.18 7 (wt=7) [] add(A,B) = add(B,A).
% 0.74/1.18 8 (wt=7) [] multiply(A,B) = multiply(B,A).
% 0.74/1.18 1 (wt=9) [] add(A,multiply(B,multiply(A,C))) = A.
% 0.74/1.18 4 (wt=9) [] multiply(A,add(B,add(A,C))) = A.
% 0.74/1.18 13 (wt=9) [] -(add(b,inverse(b)) = add(a,inverse(a))).
% 0.74/1.18 3 (wt=10) [] multiply(add(A,B),add(A,inverse(B))) = A.
% 0.74/1.18 6 (wt=10) [] add(multiply(A,B),multiply(A,inverse(B))) = A.
% 0.74/1.18 9 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.74/1.18 10 (wt=11) [back_demod(2),demod([9])] add(multiply(A,B),add(multiply(B,C),B)) = B.
% 0.74/1.18 11 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.74/1.18 12 (wt=11) [back_demod(5),demod([11])] multiply(add(A,B),multiply(add(B,C),B)) = B.
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Demodulators:
% 0.74/1.18 1 (wt=9) [] add(A,multiply(B,multiply(A,C))) = A.
% 0.74/1.18 3 (wt=10) [] multiply(add(A,B),add(A,inverse(B))) = A.
% 0.74/1.18 4 (wt=9) [] multiply(A,add(B,add(A,C))) = A.
% 0.74/1.18 6 (wt=10) [] add(multiply(A,B),multiply(A,inverse(B))) = A.
% 0.74/1.18 9 (wt=11) [] add(add(A,B),C) = add(A,add(B,C)).
% 0.74/1.18 10 (wt=11) [back_demod(2),demod([9])] add(multiply(A,B),add(multiply(B,C),B)) = B.
% 0.74/1.18 11 (wt=11) [] multiply(multiply(A,B),C) = multiply(A,multiply(B,C)).
% 0.74/1.18 12 (wt=11) [back_demod(5),demod([11])] multiply(add(A,B),multiply(add(B,C),B)) = B.
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Passive:
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 UNIT CONFLICT from 392 and 13 at 0.02 seconds.
% 0.74/1.18
% 0.74/1.18 ---------------- PROOF ----------------
% 0.74/1.18 % SZS output start Refutation
% See solution above
% 0.74/1.18 ------------ end of proof -------------
% 0.74/1.18
% 0.74/1.18
% 0.74/1.18 ------------- memory usage ------------
% 0.74/1.18 Memory dynamically allocated (tp_alloc): 488.
% 0.74/1.18 type (bytes each) gets frees in use avail bytes
% 0.74/1.18 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.74/1.18 term ( 16) 37168 31725 5443 30 105.4 K
% 0.74/1.18 gen_ptr ( 8) 28794 8777 20017 21 156.5 K
% 0.74/1.18 context ( 808) 27594 27592 2 5 5.5 K
% 0.74/1.18 trail ( 12) 2556 2556 0 6 0.1 K
% 0.74/1.18 bt_node ( 68) 12430 12427 3 9 0.8 K
% 0.74/1.18 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.18 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.18 ac_match_free_vars_pos (4020)
% 0.74/1.18 0 0 0 0 0.0 K
% 0.74/1.18 discrim ( 12) 4393 731 3662 0 42.9 K
% 0.74/1.18 flat ( 40) 53583 53583 0 20 0.8 K
% 0.74/1.18 discrim_pos ( 12) 1994 1994 0 1 0.0 K
% 0.74/1.18 fpa_head ( 12) 1668 0 1668 0 19.5 K
% 0.74/1.18 fpa_tree ( 28) 881 881 0 9 0.2 K
% 0.74/1.18 fpa_pos ( 36) 746 746 0 1 0.0 K
% 0.74/1.18 literal ( 12) 2289 1897 392 1 4.6 K
% 0.74/1.18 clause ( 24) 2289 1897 392 1 9.2 K
% 0.74/1.18 list ( 12) 413 357 56 4 0.7 K
% 0.74/1.18 list_pos ( 20) 1681 349 1332 0 26.0 K
% 0.74/1.18 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.18
% 0.74/1.18 -------------- statistics -------------
% 0.74/1.18 Clauses input 11
% 0.74/1.18 Usable input 0
% 0.74/1.18 Sos input 11
% 0.74/1.18 Demodulators input 0
% 0.74/1.18 Passive input 0
% 0.74/1.18
% 0.74/1.18 Processed BS (before search) 15
% 0.74/1.18 Forward subsumed BS 2
% 0.74/1.18 Kept BS 13
% 0.74/1.18 New demodulators BS 10
% 0.74/1.18 Back demodulated BS 2
% 0.74/1.18
% 0.74/1.18 Clauses or pairs given 2427
% 0.74/1.18 Clauses generated 1567
% 0.74/1.18 Forward subsumed 1188
% 0.74/1.18 Deleted by weight 0
% 0.74/1.18 Deleted by variable count 0
% 0.74/1.18 Kept 379
% 0.74/1.18 New demodulators 344
% 0.74/1.18 Back demodulated 69
% 0.74/1.18 Ordered paramod prunes 0
% 0.74/1.18 Basic paramod prunes 4946
% 0.74/1.18 Prime paramod prunes 116
% 0.74/1.18 Semantic prunes 0
% 0.74/1.18
% 0.74/1.18 Rewrite attmepts 10386
% 0.74/1.18 Rewrites 1703
% 0.74/1.18
% 0.74/1.18 FPA overloads 0
% 0.74/1.18 FPA underloads 0
% 0.74/1.18
% 0.74/1.18 Usable size 0
% 0.74/1.18 Sos size 320
% 0.74/1.18 Demodulators size 301
% 0.74/1.18 Passive size 0
% 0.74/1.18 Disabled size 71
% 0.74/1.18
% 0.74/1.18 Proofs found 1
% 0.74/1.18
% 0.74/1.18 ----------- times (seconds) ----------- Thu Jun 2 00:30:41 2022
% 0.74/1.18
% 0.74/1.18 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 0.74/1.18 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.74/1.18 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.18 input time 0.00
% 0.74/1.18 paramodulation time 0.01
% 0.74/1.18 demodulation time 0.00
% 0.74/1.18 orient time 0.00
% 0.74/1.18 weigh time 0.00
% 0.74/1.18 forward subsume time 0.00
% 0.74/1.18 back demod find time 0.00
% 0.74/1.18 conflict time 0.00
% 0.74/1.18 LRPO time 0.00
% 0.74/1.18 store clause time 0.00
% 0.74/1.18 disable clause time 0.00
% 0.74/1.18 prime paramod time 0.00
% 0.74/1.18 semantics time 0.00
% 0.74/1.18
% 0.74/1.18 EQP interrupted
%------------------------------------------------------------------------------