TSTP Solution File: SWV157+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 : Wed Jul 20 17:46:02 EDT 2022
% Result : Theorem 6.99s 2.47s
% Output : CNFRefutation 6.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 21 ( 14 unt; 2 nHn; 21 RR)
% Number of literals : 33 ( 12 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 16 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != a_select3(q,pv10,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_1) ).
cnf(i_0_11,negated_conjecture,
sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = pv84,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_11) ).
cnf(i_0_6,negated_conjecture,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = a_select3(q,pv10,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv47,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_6) ).
cnf(i_0_4,negated_conjecture,
leq(n0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_4) ).
cnf(i_0_59,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_59) ).
cnf(i_0_3,negated_conjecture,
leq(esk1_0,pv47),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
esk1_0 != pv47,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_2) ).
cnf(i_0_60,plain,
( leq(X1,minus(X2,n1))
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u4wz6zcd/lgb.p',i_0_60) ).
cnf(c_0_69,negated_conjecture,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != a_select3(q,pv10,esk1_0),
i_0_1 ).
cnf(c_0_70,negated_conjecture,
sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = pv84,
i_0_11 ).
cnf(c_0_71,negated_conjecture,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = a_select3(q,pv10,X1)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv47,n1)) ),
i_0_6 ).
cnf(c_0_72,negated_conjecture,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,esk1_0)),minus(a_select2(x,pv10),a_select2(mu,esk1_0))),tptp_minus_2),times(a_select2(sigma,esk1_0),a_select2(sigma,esk1_0)))),a_select2(rho,esk1_0)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,esk1_0))),pv84) != a_select3(q,pv10,esk1_0),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X1)),minus(a_select2(x,pv10),a_select2(mu,X1))),tptp_minus_2),times(a_select2(sigma,X1),a_select2(sigma,X1)))),a_select2(rho,X1)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X1))),pv84) = a_select3(q,pv10,X1)
| ~ leq(X1,minus(pv47,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
leq(n0,esk1_0),
i_0_4 ).
cnf(c_0_75,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
i_0_59 ).
cnf(c_0_76,negated_conjecture,
leq(esk1_0,pv47),
i_0_3 ).
cnf(c_0_77,negated_conjecture,
esk1_0 != pv47,
i_0_2 ).
cnf(c_0_78,negated_conjecture,
~ leq(esk1_0,minus(pv47,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_79,plain,
( leq(X1,minus(X2,n1))
| ~ gt(X2,X1) ),
i_0_60 ).
cnf(c_0_80,negated_conjecture,
gt(pv47,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_81,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 13:11:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.99/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.99/2.47 # No SInE strategy applied
% 6.99/2.47 # Trying AutoSched0 for 150 seconds
% 6.99/2.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.99/2.47 # and selection function SelectComplexExceptUniqMaxHorn.
% 6.99/2.47 #
% 6.99/2.47 # Preprocessing time : 0.013 s
% 6.99/2.47 # Presaturation interreduction done
% 6.99/2.47
% 6.99/2.47 # Proof found!
% 6.99/2.47 # SZS status Theorem
% 6.99/2.47 # SZS output start CNFRefutation
% See solution above
% 6.99/2.47 # Training examples: 0 positive, 0 negative
% 6.99/2.47
% 6.99/2.47 # -------------------------------------------------
% 6.99/2.47 # User time : 0.015 s
% 6.99/2.47 # System time : 0.006 s
% 6.99/2.47 # Total time : 0.021 s
% 6.99/2.47 # Maximum resident set size: 7124 pages
% 6.99/2.47
%------------------------------------------------------------------------------