TSTP Solution File: GRP481-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 12:57:05 EDT 2022
% Result : Unsatisfiable 1.64s 1.85s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 2 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 : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(inverse(a1),a1) != identity,
file('GRP481-1.p',unknown),
[] ).
cnf(3,axiom,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C,
file('GRP481-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity),
file('GRP481-1.p',unknown),
[] ).
cnf(8,axiom,
inverse(A) = double_divide(A,identity),
file('GRP481-1.p',unknown),
[] ).
cnf(9,axiom,
identity = double_divide(A,inverse(A)),
file('GRP481-1.p',unknown),
[] ).
cnf(11,plain,
double_divide(A,double_divide(A,identity)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9]),8])]),
[iquote('copy,9,demod,8,flip.1')] ).
cnf(12,plain,
double_divide(identity,identity) != identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1]),8,6,11]),
[iquote('back_demod,1,demod,8,6,11')] ).
cnf(13,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B) = C,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),11]),
[iquote('back_demod,3,demod,11')] ).
cnf(19,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,identity))),B) = A,
inference(para_into,[status(thm),theory(equality)],[13,11]),
[iquote('para_into,13.1.1.1.1,10.1.1')] ).
cnf(36,plain,
double_divide(double_divide(identity,identity),double_divide(A,identity)) = A,
inference(para_into,[status(thm),theory(equality)],[19,11]),
[iquote('para_into,19.1.1.1.2,10.1.1')] ).
cnf(43,plain,
double_divide(identity,identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[36,11])]),
[iquote('para_into,36.1.1,10.1.1,flip.1')] ).
cnf(45,plain,
$false,
inference(binary,[status(thm)],[43,12]),
[iquote('binary,43.1,12.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP481-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 05:07:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.85 ----- Otter 3.3f, August 2004 -----
% 1.64/1.85 The process was started by sandbox2 on n019.cluster.edu,
% 1.64/1.85 Wed Jul 27 05:07:37 2022
% 1.64/1.85 The command was "./otter". The process ID is 15737.
% 1.64/1.85
% 1.64/1.85 set(prolog_style_variables).
% 1.64/1.85 set(auto).
% 1.64/1.85 dependent: set(auto1).
% 1.64/1.85 dependent: set(process_input).
% 1.64/1.85 dependent: clear(print_kept).
% 1.64/1.85 dependent: clear(print_new_demod).
% 1.64/1.85 dependent: clear(print_back_demod).
% 1.64/1.85 dependent: clear(print_back_sub).
% 1.64/1.85 dependent: set(control_memory).
% 1.64/1.85 dependent: assign(max_mem, 12000).
% 1.64/1.85 dependent: assign(pick_given_ratio, 4).
% 1.64/1.85 dependent: assign(stats_level, 1).
% 1.64/1.85 dependent: assign(max_seconds, 10800).
% 1.64/1.85 clear(print_given).
% 1.64/1.85
% 1.64/1.85 list(usable).
% 1.64/1.85 0 [] A=A.
% 1.64/1.85 0 [] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)=C.
% 1.64/1.85 0 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.64/1.85 0 [] inverse(A)=double_divide(A,identity).
% 1.64/1.85 0 [] identity=double_divide(A,inverse(A)).
% 1.64/1.85 0 [] multiply(inverse(a1),a1)!=identity.
% 1.64/1.85 end_of_list.
% 1.64/1.85
% 1.64/1.85 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.64/1.85
% 1.64/1.85 All clauses are units, and equality is present; the
% 1.64/1.85 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.64/1.85
% 1.64/1.85 dependent: set(knuth_bendix).
% 1.64/1.85 dependent: set(anl_eq).
% 1.64/1.85 dependent: set(para_from).
% 1.64/1.85 dependent: set(para_into).
% 1.64/1.85 dependent: clear(para_from_right).
% 1.64/1.85 dependent: clear(para_into_right).
% 1.64/1.85 dependent: set(para_from_vars).
% 1.64/1.85 dependent: set(eq_units_both_ways).
% 1.64/1.85 dependent: set(dynamic_demod_all).
% 1.64/1.85 dependent: set(dynamic_demod).
% 1.64/1.85 dependent: set(order_eq).
% 1.64/1.85 dependent: set(back_demod).
% 1.64/1.85 dependent: set(lrpo).
% 1.64/1.85
% 1.64/1.85 ------------> process usable:
% 1.64/1.85 ** KEPT (pick-wt=6): 1 [] multiply(inverse(a1),a1)!=identity.
% 1.64/1.85
% 1.64/1.85 ------------> process sos:
% 1.64/1.85 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.64/1.85 ** KEPT (pick-wt=21): 3 [] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)=C.
% 1.64/1.85 ---> New Demodulator: 4 [new_demod,3] double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B)=C.
% 1.64/1.85 ** KEPT (pick-wt=9): 5 [] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.64/1.85 ---> New Demodulator: 6 [new_demod,5] multiply(A,B)=double_divide(double_divide(B,A),identity).
% 1.64/1.85 ** KEPT (pick-wt=6): 7 [] inverse(A)=double_divide(A,identity).
% 1.64/1.85 ---> New Demodulator: 8 [new_demod,7] inverse(A)=double_divide(A,identity).
% 1.64/1.85 ** KEPT (pick-wt=7): 10 [copy,9,demod,8,flip.1] double_divide(A,double_divide(A,identity))=identity.
% 1.64/1.85 ---> New Demodulator: 11 [new_demod,10] double_divide(A,double_divide(A,identity))=identity.
% 1.64/1.85 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.64/1.85 >>>> Starting back demodulation with 4.
% 1.64/1.85 >>>> Starting back demodulation with 6.
% 1.64/1.85 >> back demodulating 1 with 6.
% 1.64/1.85 >>>> Starting back demodulation with 8.
% 1.64/1.85 >>>> Starting back demodulation with 11.
% 1.64/1.85 >> back demodulating 3 with 11.
% 1.64/1.85 >>>> Starting back demodulation with 14.
% 1.64/1.85
% 1.64/1.85 ======= end of input processing =======
% 1.64/1.85
% 1.64/1.85 =========== start of search ===========
% 1.64/1.85
% 1.64/1.85 -------- PROOF --------
% 1.64/1.85
% 1.64/1.85 ----> UNIT CONFLICT at 0.00 sec ----> 45 [binary,43.1,12.1] $F.
% 1.64/1.85
% 1.64/1.85 Length of proof is 6. Level of proof is 5.
% 1.64/1.85
% 1.64/1.85 ---------------- PROOF ----------------
% 1.64/1.85 % SZS status Unsatisfiable
% 1.64/1.85 % SZS output start Refutation
% See solution above
% 1.64/1.85 ------------ end of proof -------------
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 Search stopped by max_proofs option.
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 Search stopped by max_proofs option.
% 1.64/1.85
% 1.64/1.85 ============ end of search ============
% 1.64/1.85
% 1.64/1.85 -------------- statistics -------------
% 1.64/1.85 clauses given 8
% 1.64/1.85 clauses generated 28
% 1.64/1.85 clauses kept 25
% 1.64/1.85 clauses forward subsumed 17
% 1.64/1.85 clauses back subsumed 0
% 1.64/1.85 Kbytes malloced 976
% 1.64/1.85
% 1.64/1.85 ----------- times (seconds) -----------
% 1.64/1.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.64/1.85 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.64/1.85
% 1.64/1.85 That finishes the proof of the theorem.
% 1.64/1.85
% 1.64/1.85 Process 15737 finished Wed Jul 27 05:07:38 2022
% 1.64/1.85 Otter interrupted
% 1.64/1.85 PROOF FOUND
%------------------------------------------------------------------------------