%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO451+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 03:45:48 EDT 2022
% Result : Theorem 12.56s 6.32s
% Output : CNFRefutation 12.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 22 unt; 0 nHn; 15 RR)
% Number of literals : 38 ( 19 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-2 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_614,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,esk186_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_614) ).
cnf(i_0_3259,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_3259) ).
cnf(i_0_3922,plain,
( s(cart(real,X1),i(s(fun(cart(cart(real,X1),X2),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X1),X2),cart(real,X1))),row),s(num,X3))),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X2),X1),cart(cart(real,X1),X2)),transp),s(cart(cart(real,X2),X1),X4))))) = s(cart(real,X1),i(s(fun(cart(cart(real,X2),X1),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X2),X1),cart(real,X1))),column),s(num,X3))),s(cart(cart(real,X2),X1),X4)))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_3922) ).
cnf(i_0_1053,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_1053) ).
cnf(i_0_613,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,esk186_0))),s(num,i(s(fun(fun(esk184_0,bool),num),dimindex),s(fun(esk184_0,bool),univ)))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_613) ).
cnf(i_0_1798,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_a_),s(num,X1))),s(num,X2))) = s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_1798) ).
cnf(i_0_4691,plain,
s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X2),X1),cart(cart(real,X1),X2)),transp),s(cart(cart(real,X2),X1),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X2),X1)),transp),s(cart(cart(real,X1),X2),X3))))) = s(cart(cart(real,X1),X2),X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_4691) ).
cnf(i_0_862,plain,
s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),X2))) = s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_862) ).
cnf(i_0_612,negated_conjecture,
s(cart(real,esk183_0),i(s(fun(cart(cart(real,esk184_0),esk183_0),cart(real,esk183_0)),i(s(fun(num,fun(cart(cart(real,esk184_0),esk183_0),cart(real,esk183_0))),column),s(num,esk186_0))),s(cart(cart(real,esk184_0),esk183_0),i(s(fun(cart(cart(real,esk183_0),esk184_0),cart(cart(real,esk184_0),esk183_0)),transp),s(cart(cart(real,esk183_0),esk184_0),esk185_0))))) != s(cart(real,esk183_0),i(s(fun(cart(cart(real,esk183_0),esk184_0),cart(real,esk183_0)),i(s(fun(num,fun(cart(cart(real,esk183_0),esk184_0),cart(real,esk183_0))),row),s(num,esk186_0))),s(cart(cart(real,esk183_0),esk184_0),esk185_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_612) ).
cnf(i_0_63,plain,
p(s(bool,t)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nf4haxkz/lgb.p',i_0_63) ).
cnf(c_0_4702,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,esk186_0)))),
i_0_614 ).
cnf(c_0_4703,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
i_0_3259 ).
cnf(c_0_4704,plain,
( s(cart(real,X1),i(s(fun(cart(cart(real,X1),X2),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X1),X2),cart(real,X1))),row),s(num,X3))),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X2),X1),cart(cart(real,X1),X2)),transp),s(cart(cart(real,X2),X1),X4))))) = s(cart(real,X1),i(s(fun(cart(cart(real,X2),X1),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X2),X1),cart(real,X1))),column),s(num,X3))),s(cart(cart(real,X2),X1),X4)))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))),s(num,X3)))) ),
i_0_3922 ).
cnf(c_0_4705,plain,
( s(bool,X1) = s(bool,t)
| ~ p(s(bool,X1)) ),
i_0_1053 ).
cnf(c_0_4706,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,esk186_0))),s(num,i(s(fun(fun(esk184_0,bool),num),dimindex),s(fun(esk184_0,bool),univ)))))),
i_0_613 ).
cnf(c_0_4707,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),s(num,esk186_0)))),
inference(rw,[status(thm)],[c_0_4702,c_0_4703]) ).
cnf(c_0_4708,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_a_),s(num,X1))),s(num,X2))) = s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X2))),s(num,X1))),
i_0_1798 ).
cnf(c_0_4709,plain,
( s(cart(real,X1),i(s(fun(cart(cart(real,X1),X2),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X1),X2),cart(real,X1))),row),s(num,X3))),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X2),X1),cart(cart(real,X1),X2)),transp),s(cart(cart(real,X2),X1),X4))))) = s(cart(real,X1),i(s(fun(cart(cart(real,X2),X1),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X2),X1),cart(real,X1))),column),s(num,X3))),s(cart(cart(real,X2),X1),X4)))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),s(num,X3)))) ),
inference(rw,[status(thm)],[c_0_4704,c_0_4703]) ).
cnf(c_0_4710,plain,
s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X2),X1),cart(cart(real,X1),X2)),transp),s(cart(cart(real,X2),X1),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X2),X1)),transp),s(cart(cart(real,X1),X2),X3))))) = s(cart(cart(real,X1),X2),X3),
i_0_4691 ).
cnf(c_0_4711,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,esk186_0))),s(num,i(s(fun(fun(esk184_0,bool),num),dimindex),s(fun(esk184_0,bool),univ))))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4705,c_0_4706]) ).
cnf(c_0_4712,plain,
s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),X2))) = s(num,i(s(fun(fun(X1,bool),num),dimindex),s(fun(X1,bool),univ))),
i_0_862 ).
cnf(c_0_4713,negated_conjecture,
p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_a_),s(num,esk186_0))),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))),
inference(rw,[status(thm)],[c_0_4707,c_0_4708]) ).
cnf(c_0_4714,negated_conjecture,
s(cart(real,esk183_0),i(s(fun(cart(cart(real,esk184_0),esk183_0),cart(real,esk183_0)),i(s(fun(num,fun(cart(cart(real,esk184_0),esk183_0),cart(real,esk183_0))),column),s(num,esk186_0))),s(cart(cart(real,esk184_0),esk183_0),i(s(fun(cart(cart(real,esk183_0),esk184_0),cart(cart(real,esk184_0),esk183_0)),transp),s(cart(cart(real,esk183_0),esk184_0),esk185_0))))) != s(cart(real,esk183_0),i(s(fun(cart(cart(real,esk183_0),esk184_0),cart(real,esk183_0)),i(s(fun(num,fun(cart(cart(real,esk183_0),esk184_0),cart(real,esk183_0))),row),s(num,esk186_0))),s(cart(cart(real,esk183_0),esk184_0),esk185_0))),
i_0_612 ).
cnf(c_0_4715,plain,
( s(cart(real,X1),i(s(fun(cart(cart(real,X2),X1),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X2),X1),cart(real,X1))),column),s(num,X3))),s(cart(cart(real,X2),X1),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X2),X1)),transp),s(cart(cart(real,X1),X2),X4))))) = s(cart(real,X1),i(s(fun(cart(cart(real,X1),X2),cart(real,X1)),i(s(fun(num,fun(cart(cart(real,X1),X2),cart(real,X1))),row),s(num,X3))),s(cart(cart(real,X1),X2),X4)))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X3))),s(num,i(s(fun(fun(X2,bool),num),dimindex),s(fun(X2,bool),univ))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(num,num),bit1),s(num,u_0))))),s(num,X3)))) ),
inference(spm,[status(thm)],[c_0_4709,c_0_4710]) ).
cnf(c_0_4716,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,esk186_0))),s(num,i(s(fun(fun(esk184_0,bool),num),dimindex),s(fun(esk184_0,bool),X1))))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4711,c_0_4712]) ).
cnf(c_0_4717,plain,
p(s(bool,t)),
i_0_63 ).
cnf(c_0_4718,plain,
s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),g_a_),s(num,esk186_0))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(bool,t),
inference(spm,[status(thm)],[c_0_4705,c_0_4713]) ).
cnf(c_0_4719,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4714,c_0_4715]),c_0_4716]),c_0_4717]),c_0_4708]),c_0_4718]),c_0_4717])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO451+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 09:06:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.63/0.83 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.83 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.63/0.83 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.63/0.83 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.56/6.32 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.56/6.32 # No SInE strategy applied
% 12.56/6.32 # Trying AutoSched0 for 148 seconds
% 12.56/6.32 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.56/6.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 12.56/6.32 #
% 12.56/6.32 # Preprocessing time : 0.024 s
% 12.56/6.32 # Presaturation interreduction done
% 12.56/6.32
% 12.56/6.32 # Proof found!
% 12.56/6.32 # SZS status Theorem
% 12.56/6.32 # SZS output start CNFRefutation
% See solution above
% 12.56/6.32 # Training examples: 0 positive, 0 negative
% 12.56/6.32
% 12.56/6.32 # -------------------------------------------------
% 12.56/6.32 # User time : 0.080 s
% 12.56/6.32 # System time : 0.008 s
% 12.56/6.32 # Total time : 0.088 s
% 12.56/6.32 # Maximum resident set size: 7624 pages
% 12.56/6.32
%------------------------------------------------------------------------------