%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV213+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 17:46:13 EDT 2022
% Result : Theorem 6.30s 2.63s
% Output : CNFRefutation 6.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 346 ( 287 equ)
% Maximal formula atoms : 107 ( 28 avg)
% Number of connectives : 544 ( 210 ~; 74 |; 254 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 16 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0081,conjecture,
! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n0 = X18
& n2 = X14
& n2 = X18
& n3 = X14 )
=> times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0081) ).
fof(c_0_1,plain,
! [X18,X14] :
( epred2_2(X14,X18)
<=> ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n0 = X18
& n2 = X14
& n2 = X18
& n3 = X14 ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X18,X14] :
( epred2_2(X14,X18)
=> ( ~ ( n0 = X14
& n1 = X18 )
& ~ ( n0 = X14
& n2 = X18 )
& ~ ( n0 = X14
& n3 = X18 )
& ~ ( n0 = X14
& n4 = X18 )
& ~ ( n0 = X14
& n5 = X18 )
& ~ ( n0 = X18
& n3 = X14 )
& ~ ( n0 = X18
& n4 = X14 )
& ~ ( n0 = X18
& n5 = X14 )
& ~ ( n1 = X14
& n1 = X18 )
& ~ ( n1 = X14
& n2 = X18 )
& ~ ( n1 = X14
& n3 = X18 )
& ~ ( n1 = X14
& n4 = X18 )
& ~ ( n1 = X14
& n5 = X18 )
& ~ ( n1 = X18
& n2 = X14 )
& ~ ( n1 = X18
& n3 = X14 )
& ~ ( n1 = X18
& n4 = X14 )
& ~ ( n1 = X18
& n5 = X14 )
& ~ ( n2 = X14
& n2 = X18 )
& ~ ( n2 = X14
& n3 = X18 )
& ~ ( n2 = X14
& n4 = X18 )
& ~ ( n2 = X14
& n5 = X18 )
& ~ ( n2 = X18
& n3 = X14 )
& ~ ( n2 = X18
& n4 = X14 )
& ~ ( n2 = X18
& n5 = X14 )
& ~ ( n3 = X14
& n3 = X18 )
& ~ ( n3 = X14
& n4 = X18 )
& ~ ( n3 = X14
& n5 = X18 )
& ~ ( n3 = X18
& n4 = X14 )
& ~ ( n3 = X18
& n5 = X14 )
& ~ ( n4 = X14
& n4 = X18 )
& ~ ( n4 = X14
& n5 = X18 )
& ~ ( n4 = X18
& n5 = X14 )
& ~ ( n5 = X14
& n5 = X18 )
& n0 = X18
& n2 = X14
& n2 = X18
& n3 = X14 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> ( epred2_2(X14,X18)
=> times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0081]),c_0_1]) ).
fof(c_0_4,plain,
! [X202,X203] :
( ( n0 != X203
| n1 != X202
| ~ epred2_2(X203,X202) )
& ( n0 != X203
| n2 != X202
| ~ epred2_2(X203,X202) )
& ( n0 != X203
| n3 != X202
| ~ epred2_2(X203,X202) )
& ( n0 != X203
| n4 != X202
| ~ epred2_2(X203,X202) )
& ( n0 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n0 != X202
| n3 != X203
| ~ epred2_2(X203,X202) )
& ( n0 != X202
| n4 != X203
| ~ epred2_2(X203,X202) )
& ( n0 != X202
| n5 != X203
| ~ epred2_2(X203,X202) )
& ( n1 != X203
| n1 != X202
| ~ epred2_2(X203,X202) )
& ( n1 != X203
| n2 != X202
| ~ epred2_2(X203,X202) )
& ( n1 != X203
| n3 != X202
| ~ epred2_2(X203,X202) )
& ( n1 != X203
| n4 != X202
| ~ epred2_2(X203,X202) )
& ( n1 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n1 != X202
| n2 != X203
| ~ epred2_2(X203,X202) )
& ( n1 != X202
| n3 != X203
| ~ epred2_2(X203,X202) )
& ( n1 != X202
| n4 != X203
| ~ epred2_2(X203,X202) )
& ( n1 != X202
| n5 != X203
| ~ epred2_2(X203,X202) )
& ( n2 != X203
| n2 != X202
| ~ epred2_2(X203,X202) )
& ( n2 != X203
| n3 != X202
| ~ epred2_2(X203,X202) )
& ( n2 != X203
| n4 != X202
| ~ epred2_2(X203,X202) )
& ( n2 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n2 != X202
| n3 != X203
| ~ epred2_2(X203,X202) )
& ( n2 != X202
| n4 != X203
| ~ epred2_2(X203,X202) )
& ( n2 != X202
| n5 != X203
| ~ epred2_2(X203,X202) )
& ( n3 != X203
| n3 != X202
| ~ epred2_2(X203,X202) )
& ( n3 != X203
| n4 != X202
| ~ epred2_2(X203,X202) )
& ( n3 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n3 != X202
| n4 != X203
| ~ epred2_2(X203,X202) )
& ( n3 != X202
| n5 != X203
| ~ epred2_2(X203,X202) )
& ( n4 != X203
| n4 != X202
| ~ epred2_2(X203,X202) )
& ( n4 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n4 != X202
| n5 != X203
| ~ epred2_2(X203,X202) )
& ( n5 != X203
| n5 != X202
| ~ epred2_2(X203,X202) )
& ( n0 = X202
| ~ epred2_2(X203,X202) )
& ( n2 = X203
| ~ epred2_2(X203,X202) )
& ( n2 = X202
| ~ epred2_2(X203,X202) )
& ( n3 = X203
| ~ epred2_2(X203,X202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_5,negated_conjecture,
( leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n5)
& leq(esk25_0,n5)
& epred2_2(esk24_0,esk25_0)
& times(divide(n1,n400),a_select2(sigma,n2)) != n0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( n2 != X1
| n2 != X2
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( n2 = X1
| ~ epred2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( n2 = X1
| ~ epred2_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
epred2_2(esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
~ epred2_2(X1,X2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV213+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 12:31:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected SinE mode:
% 0.22/0.49 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.22/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.22/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.30/2.63 # ENIGMATIC: Solved by autoschedule:
% 6.30/2.63 # No SInE strategy applied
% 6.30/2.63 # Trying AutoSched0 for 150 seconds
% 6.30/2.63 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_S0Y
% 6.30/2.63 # and selection function SelectMaxLComplexAvoidPosPred.
% 6.30/2.63 #
% 6.30/2.63 # Preprocessing time : 0.021 s
% 6.30/2.63
% 6.30/2.63 # Proof found!
% 6.30/2.63 # SZS status Theorem
% 6.30/2.63 # SZS output start CNFRefutation
% See solution above
% 6.30/2.63 # Training examples: 0 positive, 0 negative
% 6.30/2.63
% 6.30/2.63 # -------------------------------------------------
% 6.30/2.63 # User time : 0.023 s
% 6.30/2.63 # System time : 0.007 s
% 6.30/2.63 # Total time : 0.030 s
% 6.30/2.63 # Maximum resident set size: 7120 pages
% 6.30/2.63
%------------------------------------------------------------------------------