TSTP Solution File: GRP467-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %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 : 300s
% DateTime : Wed Jul 27 12:57:04 EDT 2022
% Result : Unsatisfiable 1.95s 2.12s
% Output : Refutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('GRP467-1.p',unknown),
[] ).
cnf(3,axiom,
divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C,
file('GRP467-1.p',unknown),
[] ).
cnf(5,axiom,
multiply(A,B) = divide(A,inverse(B)),
file('GRP467-1.p',unknown),
[] ).
cnf(6,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[5])]),
[iquote('copy,5,flip.1')] ).
cnf(8,plain,
multiply(divide(inverse(b2),inverse(b2)),a2) != a2,
inference(para_from,[status(thm),theory(equality)],[5,1]),
[iquote('para_from,5.1.1,1.1.1.1')] ).
cnf(14,plain,
divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(divide(E,C),inverse(divide(F,F))))) = E,
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.2.2.1.2,3.1.1')] ).
cnf(17,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) = C,
inference(para_into,[status(thm),theory(equality)],[3,6]),
[iquote('para_into,3.1.1.2.2,6.1.1')] ).
cnf(28,plain,
divide(divide(A,A),divide(multiply(divide(B,divide(C,D)),C),multiply(B,D))) = divide(E,E),
inference(para_into,[status(thm),theory(equality)],[17,17]),
[iquote('para_into,17.1.1.2.2.1,17.1.1')] ).
cnf(170,plain,
divide(A,A) = divide(B,B),
inference(para_into,[status(thm),theory(equality)],[28,28]),
[iquote('para_into,28.1.1,28.1.1')] ).
cnf(288,plain,
divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(divide(E,E),inverse(divide(F,F))))) = C,
inference(para_from,[status(thm),theory(equality)],[170,14]),
[iquote('para_from,170.1.1,14.1.1.2.2.1')] ).
cnf(294,plain,
multiply(divide(A,A),a2) != a2,
inference(para_from,[status(thm),theory(equality)],[170,8]),
[iquote('para_from,170.1.1,8.1.1.1')] ).
cnf(296,plain,
divide(divide(A,A),divide(B,multiply(divide(C,C),D))) = divide(D,B),
inference(para_from,[status(thm),theory(equality)],[170,17]),
[iquote('para_from,170.1.1,17.1.1.2.2.1')] ).
cnf(441,plain,
divide(A,A) = divide(B,multiply(divide(C,C),B)),
inference(para_into,[status(thm),theory(equality)],[296,170]),
[iquote('para_into,296.1.1,170.1.1')] ).
cnf(446,plain,
divide(A,multiply(divide(B,B),A)) = divide(C,C),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[441])]),
[iquote('copy,441,flip.1')] ).
cnf(461,plain,
multiply(divide(A,A),B) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[446,14]),288]),
[iquote('para_from,446.1.1,14.1.1.2.2.1,demod,288')] ).
cnf(463,plain,
$false,
inference(binary,[status(thm)],[461,294]),
[iquote('binary,461.1,294.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n015.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:30:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.95/2.12 ----- Otter 3.3f, August 2004 -----
% 1.95/2.12 The process was started by sandbox2 on n015.cluster.edu,
% 1.95/2.12 Wed Jul 27 05:30:56 2022
% 1.95/2.12 The command was "./otter". The process ID is 4382.
% 1.95/2.12
% 1.95/2.12 set(prolog_style_variables).
% 1.95/2.12 set(auto).
% 1.95/2.12 dependent: set(auto1).
% 1.95/2.12 dependent: set(process_input).
% 1.95/2.12 dependent: clear(print_kept).
% 1.95/2.12 dependent: clear(print_new_demod).
% 1.95/2.12 dependent: clear(print_back_demod).
% 1.95/2.12 dependent: clear(print_back_sub).
% 1.95/2.12 dependent: set(control_memory).
% 1.95/2.12 dependent: assign(max_mem, 12000).
% 1.95/2.12 dependent: assign(pick_given_ratio, 4).
% 1.95/2.12 dependent: assign(stats_level, 1).
% 1.95/2.12 dependent: assign(max_seconds, 10800).
% 1.95/2.12 clear(print_given).
% 1.95/2.12
% 1.95/2.12 list(usable).
% 1.95/2.12 0 [] A=A.
% 1.95/2.12 0 [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))=C.
% 1.95/2.12 0 [] multiply(A,B)=divide(A,inverse(B)).
% 1.95/2.12 0 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.95/2.12 end_of_list.
% 1.95/2.12
% 1.95/2.12 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.95/2.12
% 1.95/2.12 All clauses are units, and equality is present; the
% 1.95/2.12 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.95/2.12
% 1.95/2.12 dependent: set(knuth_bendix).
% 1.95/2.12 dependent: set(anl_eq).
% 1.95/2.12 dependent: set(para_from).
% 1.95/2.12 dependent: set(para_into).
% 1.95/2.12 dependent: clear(para_from_right).
% 1.95/2.12 dependent: clear(para_into_right).
% 1.95/2.12 dependent: set(para_from_vars).
% 1.95/2.12 dependent: set(eq_units_both_ways).
% 1.95/2.12 dependent: set(dynamic_demod_all).
% 1.95/2.12 dependent: set(dynamic_demod).
% 1.95/2.12 dependent: set(order_eq).
% 1.95/2.12 dependent: set(back_demod).
% 1.95/2.12 dependent: set(lrpo).
% 1.95/2.12
% 1.95/2.12 ------------> process usable:
% 1.95/2.12 ** KEPT (pick-wt=8): 1 [] multiply(multiply(inverse(b2),b2),a2)!=a2.
% 1.95/2.12
% 1.95/2.12 ------------> process sos:
% 1.95/2.12 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.95/2.12 ** KEPT (pick-wt=16): 3 [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))=C.
% 1.95/2.12 ---> New Demodulator: 4 [new_demod,3] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))=C.
% 1.95/2.12 ** KEPT (pick-wt=8): 5 [] multiply(A,B)=divide(A,inverse(B)).
% 1.95/2.12 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.95/2.12 >>>> Starting back demodulation with 4.
% 1.95/2.12 ** KEPT (pick-wt=8): 6 [copy,5,flip.1] divide(A,inverse(B))=multiply(A,B).
% 1.95/2.12 Following clause subsumed by 5 during input processing: 0 [copy,6,flip.1] multiply(A,B)=divide(A,inverse(B)).
% 1.95/2.12
% 1.95/2.12 ======= end of input processing =======
% 1.95/2.12
% 1.95/2.12 =========== start of search ===========
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 Resetting weight limit to 16.
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 Resetting weight limit to 16.
% 1.95/2.12
% 1.95/2.12 sos_size=324
% 1.95/2.12
% 1.95/2.12 -------- PROOF --------
% 1.95/2.12
% 1.95/2.12 ----> UNIT CONFLICT at 0.02 sec ----> 463 [binary,461.1,294.1] $F.
% 1.95/2.12
% 1.95/2.12 Length of proof is 12. Level of proof is 8.
% 1.95/2.12
% 1.95/2.12 ---------------- PROOF ----------------
% 1.95/2.12 % SZS status Unsatisfiable
% 1.95/2.12 % SZS output start Refutation
% See solution above
% 1.95/2.12 ------------ end of proof -------------
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 Search stopped by max_proofs option.
% 1.95/2.12
% 1.95/2.12
% 1.95/2.12 Search stopped by max_proofs option.
% 1.95/2.12
% 1.95/2.12 ============ end of search ============
% 1.95/2.12
% 1.95/2.12 -------------- statistics -------------
% 1.95/2.12 clauses given 29
% 1.95/2.12 clauses generated 520
% 1.95/2.12 clauses kept 374
% 1.95/2.12 clauses forward subsumed 317
% 1.95/2.12 clauses back subsumed 4
% 1.95/2.12 Kbytes malloced 4882
% 1.95/2.12
% 1.95/2.12 ----------- times (seconds) -----------
% 1.95/2.12 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.95/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.95/2.12 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.95/2.12
% 1.95/2.12 That finishes the proof of the theorem.
% 1.95/2.12
% 1.95/2.12 Process 4382 finished Wed Jul 27 05:30:58 2022
% 1.95/2.12 Otter interrupted
% 1.95/2.12 PROOF FOUND
%------------------------------------------------------------------------------