%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP543-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n015.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 08:47:54 EDT 2022
% Result : Unsatisfiable 0.72s 1.10s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 4 RR)
% Number of literals : 35 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(identity,divide(divide(divide(A,B),C),A)),C),B),
file('GRP543-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,divide(identity,B))),
file('GRP543-1.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(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(6,plain,
equal(divide(divide(identity,divide(divide(A,B),divide(identity,divide(divide(divide(C,A),D),C)))),B),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(divide(divide(divide(A,B),C),A),divide(divide(identity,divide(B,identity)),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(8,plain,
equal(divide(divide(identity,divide(divide(A,B),divide(identity,divide(divide(identity,divide(A,identity)),C)))),B),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),7]),
[iquote('back_demod(6),demod([7])')] ).
cnf(9,plain,
equal(divide(divide(identity,divide(divide(identity,divide(A,identity)),B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1]),7]),
[iquote('back_demod(1),demod([7])')] ).
cnf(10,plain,
equal(divide(divide(identity,divide(identity,A)),A),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,9]),4]),
[iquote('para(4,9),demod([4])')] ).
cnf(11,plain,
equal(divide(identity,divide(identity,divide(A,identity))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,9]),4]),
[iquote('para(4,9),demod([4])')] ).
cnf(12,plain,
equal(divide(divide(identity,A),divide(identity,divide(A,identity))),identity),
inference(para,[status(thm),theory(equality)],[11,10]),
[iquote('para(11,10)')] ).
cnf(13,plain,
equal(divide(A,divide(A,identity)),identity),
inference(para,[status(thm),theory(equality)],[11,10]),
[iquote('para(11,10)')] ).
cnf(15,plain,
equal(divide(identity,divide(divide(identity,divide(A,identity)),identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,9]),4]),
[iquote('para(13,9),demod([4])')] ).
cnf(17,plain,
equal(divide(A,identity),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,9]),4,11]),
[iquote('para(12,9),demod([4,11])')] ).
cnf(18,plain,
equal(divide(identity,divide(identity,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),17,17]),
[iquote('back_demod(15),demod([17,17])')] ).
cnf(19,plain,
equal(divide(divide(identity,divide(divide(identity,A),B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),17]),
[iquote('back_demod(9),demod([17])')] ).
cnf(20,plain,
equal(divide(divide(identity,divide(divide(A,B),divide(identity,divide(divide(identity,A),C)))),B),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),17]),
[iquote('back_demod(8),demod([17])')] ).
cnf(22,plain,
equal(divide(divide(identity,divide(A,B)),B),divide(identity,A)),
inference(para,[status(thm),theory(equality)],[18,19]),
[iquote('para(18,19)')] ).
cnf(23,plain,
equal(divide(divide(identity,divide(divide(identity,A),B)),A),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,20]),18]),
[iquote('para(4,20),demod([18])')] ).
cnf(24,plain,
equal(divide(divide(identity,divide(A,B)),divide(identity,A)),B),
inference(para,[status(thm),theory(equality)],[18,23]),
[iquote('para(18,23)')] ).
cnf(26,plain,
equal(divide(divide(identity,divide(divide(A,B),A)),B),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,20]),18]),
[iquote('para(17,20),demod([18])')] ).
cnf(34,plain,
equal(divide(divide(identity,A),B),divide(divide(identity,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,22]),18]),
[iquote('para(23,22),demod([18])')] ).
cnf(35,plain,
equal(divide(A,divide(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,23]),18]),
[iquote('para(22,23),demod([18])')] ).
cnf(36,plain,
equal(divide(divide(identity,divide(divide(identity,A),divide(identity,divide(divide(A,B),C)))),B),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,20]),35]),
[iquote('para(22,20),demod([35])')] ).
cnf(42,plain,
equal(divide(divide(identity,A),divide(identity,B)),divide(B,A)),
inference(para,[status(thm),theory(equality)],[35,24]),
[iquote('para(35,24)')] ).
cnf(50,plain,
equal(divide(A,divide(identity,B)),divide(B,divide(identity,A))),
inference(para,[status(thm),theory(equality)],[35,42]),
[iquote('para(35,42)')] ).
cnf(58,plain,
equal(divide(identity,divide(divide(A,B),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,20]),4,17,22]),
[iquote('para(26,20),demod([4,17,22])')] ).
cnf(60,plain,
equal(divide(identity,divide(A,B)),divide(B,A)),
inference(para,[status(thm),theory(equality)],[35,58]),
[iquote('para(35,58)')] ).
cnf(65,plain,
equal(divide(A,divide(identity,divide(B,A))),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,60]),35]),1]),
[iquote('para(22,60),demod([35]),flip(1)')] ).
cnf(75,plain,
equal(divide(identity,divide(divide(identity,A),B)),divide(A,divide(identity,B))),
inference(para,[status(thm),theory(equality)],[34,60]),
[iquote('para(34,60)')] ).
cnf(84,plain,
equal(divide(divide(A,divide(divide(A,B),C)),B),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[36]),75,35]),
[iquote('back_demod(36),demod([75,35])')] ).
cnf(127,plain,
~ equal(divide(divide(b3,divide(identity,a3)),divide(identity,c3)),divide(a3,divide(identity,divide(b3,divide(identity,c3))))),
inference(para,[status(thm),theory(equality)],[50,5]),
[iquote('para(50,5)')] ).
cnf(129,plain,
equal(divide(divide(A,B),C),divide(identity,divide(B,divide(A,C)))),
inference(para,[status(thm),theory(equality)],[65,84]),
[iquote('para(65,84)')] ).
cnf(130,plain,
~ equal(divide(a3,divide(identity,divide(b3,divide(identity,c3)))),divide(a3,divide(identity,divide(b3,divide(identity,c3))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[127]),129,129,35]),
[iquote('back_demod(127),demod([129,129,35])')] ).
cnf(131,plain,
$false,
inference(conflict,[status(thm)],[130]),
[iquote('xx_conflict(130)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP543-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 17:08:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.10 ----- EQP 0.9e, May 2009 -----
% 0.72/1.10 The job began on n015.cluster.edu, Mon Jun 13 17:08:39 2022
% 0.72/1.10 The command was "./eqp09e".
% 0.72/1.10
% 0.72/1.10 set(prolog_style_variables).
% 0.72/1.10 set(lrpo).
% 0.72/1.10 set(basic_paramod).
% 0.72/1.10 set(functional_subsume).
% 0.72/1.10 set(ordered_paramod).
% 0.72/1.10 set(prime_paramod).
% 0.72/1.10 set(para_pairs).
% 0.72/1.10 assign(pick_given_ratio,4).
% 0.72/1.10 clear(print_kept).
% 0.72/1.10 clear(print_new_demod).
% 0.72/1.10 clear(print_back_demod).
% 0.72/1.10 clear(print_given).
% 0.72/1.10 assign(max_mem,64000).
% 0.72/1.10 end_of_commands.
% 0.72/1.10
% 0.72/1.10 Usable:
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Sos:
% 0.72/1.10 0 (wt=-1) [] divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B.
% 0.72/1.10 0 (wt=-1) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.10 0 (wt=-1) [] inverse(A) = divide(identity,A).
% 0.72/1.10 0 (wt=-1) [] identity = divide(A,A).
% 0.72/1.10 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Demodulators:
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Passive:
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Starting to process input.
% 0.72/1.10
% 0.72/1.10 ** KEPT: 1 (wt=13) [] divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B.
% 0.72/1.10 1 is a new demodulator.
% 0.72/1.10
% 0.72/1.10 ** KEPT: 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.10 2 is a new demodulator.
% 0.72/1.10
% 0.72/1.10 ** KEPT: 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.10 3 is a new demodulator.
% 0.72/1.10
% 0.72/1.10 ** KEPT: 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.10 4 is a new demodulator.
% 0.72/1.10
% 0.72/1.10 ** KEPT: 5 (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))))).
% 0.72/1.10 ---------------- PROOF FOUND ----------------
% 0.72/1.10 % SZS status Unsatisfiable
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 After processing input:
% 0.72/1.10
% 0.72/1.10 Usable:
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Sos:
% 0.72/1.10 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.10 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.10 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.10 1 (wt=13) [] divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B.
% 0.72/1.10 5 (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))))).
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Demodulators:
% 0.72/1.10 1 (wt=13) [] divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B.
% 0.72/1.10 2 (wt=9) [] multiply(A,B) = divide(A,divide(identity,B)).
% 0.72/1.10 3 (wt=6) [] inverse(A) = divide(identity,A).
% 0.72/1.10 4 (wt=5) [flip(1)] divide(A,A) = identity.
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 Passive:
% 0.72/1.10 end_of_list.
% 0.72/1.10
% 0.72/1.10 UNIT CONFLICT from 130 and x=x at 0.01 seconds.
% 0.72/1.10
% 0.72/1.10 ---------------- PROOF ----------------
% 0.72/1.10 % SZS output start Refutation
% See solution above
% 0.72/1.10 ------------ end of proof -------------
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 ------------- memory usage ------------
% 0.72/1.10 Memory dynamically allocated (tp_alloc): 488.
% 0.72/1.10 type (bytes each) gets frees in use avail bytes
% 0.72/1.10 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.72/1.10 term ( 16) 10269 8388 1881 20 36.6 K
% 0.72/1.10 gen_ptr ( 8) 11618 3814 7804 34 61.2 K
% 0.72/1.10 context ( 808) 8600 8598 2 4 4.7 K
% 0.72/1.10 trail ( 12) 1278 1278 0 4 0.0 K
% 0.72/1.10 bt_node ( 68) 3515 3512 3 12 1.0 K
% 0.72/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.10 ac_match_free_vars_pos (4020)
% 0.72/1.10 0 0 0 0 0.0 K
% 0.72/1.10 discrim ( 12) 1661 1002 659 19 7.9 K
% 0.72/1.10 flat ( 40) 17445 17445 0 21 0.8 K
% 0.72/1.10 discrim_pos ( 12) 625 625 0 1 0.0 K
% 0.72/1.10 fpa_head ( 12) 542 0 542 0 6.4 K
% 0.72/1.10 fpa_tree ( 28) 679 679 0 43 1.2 K
% 0.72/1.10 fpa_pos ( 36) 223 223 0 1 0.0 K
% 0.72/1.10 literal ( 12) 588 458 130 0 1.5 K
% 0.72/1.10 clause ( 24) 588 458 130 0 3.0 K
% 0.72/1.10 list ( 12) 153 96 57 2 0.7 K
% 0.72/1.10 list_pos ( 20) 677 364 313 3 6.2 K
% 0.72/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.10
% 0.72/1.10 -------------- statistics -------------
% 0.72/1.10 Clauses input 5
% 0.72/1.10 Usable input 0
% 0.72/1.10 Sos input 5
% 0.72/1.10 Demodulators input 0
% 0.72/1.10 Passive input 0
% 0.72/1.10
% 0.72/1.10 Processed BS (before search) 5
% 0.72/1.10 Forward subsumed BS 0
% 0.72/1.10 Kept BS 5
% 0.72/1.10 New demodulators BS 4
% 0.72/1.10 Back demodulated BS 0
% 0.72/1.10
% 0.72/1.10 Clauses or pairs given 399
% 0.72/1.10 Clauses generated 414
% 0.72/1.10 Forward subsumed 289
% 0.72/1.10 Deleted by weight 0
% 0.72/1.10 Deleted by variable count 0
% 0.72/1.10 Kept 125
% 0.72/1.10 New demodulators 90
% 0.72/1.10 Back demodulated 74
% 0.72/1.10 Ordered paramod prunes 0
% 0.72/1.10 Basic paramod prunes 997
% 0.72/1.10 Prime paramod prunes 42
% 0.72/1.10 Semantic prunes 0
% 0.72/1.10
% 0.72/1.10 Rewrite attmepts 4076
% 0.72/1.10 Rewrites 542
% 0.72/1.10
% 0.72/1.10 FPA overloads 0
% 0.72/1.10 FPA underloads 0
% 0.72/1.10
% 0.72/1.10 Usable size 0
% 0.72/1.10 Sos size 55
% 0.72/1.10 Demodulators size 34
% 0.72/1.10 Passive size 0
% 0.72/1.10 Disabled size 74
% 0.72/1.10
% 0.72/1.10 Proofs found 1
% 0.72/1.10
% 0.72/1.10 ----------- times (seconds) ----------- Mon Jun 13 17:08:39 2022
% 0.72/1.10
% 0.72/1.10 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.72/1.10 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 0.72/1.10 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.72/1.10 input time 0.00
% 0.72/1.10 paramodulation time 0.00
% 0.72/1.10 demodulation time 0.00
% 0.72/1.10 orient time 0.00
% 0.72/1.10 weigh time 0.00
% 0.72/1.10 forward subsume time 0.00
% 0.72/1.10 back demod find time 0.00
% 0.72/1.10 conflict time 0.00
% 0.72/1.10 LRPO time 0.00
% 0.72/1.10 store clause time 0.00
% 0.72/1.10 disable clause time 0.00
% 0.72/1.10 prime paramod time 0.00
% 0.72/1.10 semantics time 0.00
% 0.72/1.10
% 0.72/1.10 EQP interrupted
%------------------------------------------------------------------------------