TSTP Solution File: GEO460+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO460+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 03:45:50 EDT 2022
% Result : Theorem 24.41s 7.73s
% Output : CNFRefutation 24.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 7 RR)
% Number of literals : 35 ( 34 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 46 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_418,plain,
s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_418) ).
cnf(i_0_3295,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_3295) ).
cnf(i_0_2823,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X4))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_2823) ).
cnf(i_0_4965,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_4965) ).
cnf(i_0_2770,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_2770) ).
cnf(i_0_1176,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_1176) ).
cnf(i_0_2742,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_2742) ).
cnf(i_0_3502,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_3502) ).
cnf(i_0_3453,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_3453) ).
cnf(i_0_2824,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk967_0,esk966_0)),real),vectoru_norm),s(cart(real,finite_sum(esk967_0,esk966_0)),i(s(fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0))),i(s(fun(cart(real,esk967_0),fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0)))),pastecart),s(cart(real,esk967_0),esk968_0))),s(cart(real,esk966_0),i(s(fun(num,cart(real,esk966_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk967_0),real),vectoru_norm),s(cart(real,esk967_0),esk968_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_2824) ).
cnf(i_0_3799,plain,
s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))),s(num,X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,X2))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_3799) ).
cnf(i_0_3475,plain,
s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4hzmw1la/lgb.p',i_0_3475) ).
cnf(c_0_4978,plain,
s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
i_0_418 ).
cnf(c_0_4979,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
i_0_3295 ).
cnf(c_0_4980,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X4))))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))),
i_0_2823 ).
cnf(c_0_4981,plain,
s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))),
inference(rw,[status(thm)],[c_0_4978,c_0_4979]) ).
cnf(c_0_4982,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
i_0_4965 ).
cnf(c_0_4983,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
i_0_2770 ).
cnf(c_0_4984,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,X1))),
i_0_1176 ).
cnf(c_0_4985,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
i_0_2742 ).
cnf(c_0_4986,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X1),
i_0_3502 ).
cnf(c_0_4987,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
i_0_3453 ).
cnf(c_0_4988,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk967_0,esk966_0)),real),vectoru_norm),s(cart(real,finite_sum(esk967_0,esk966_0)),i(s(fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0))),i(s(fun(cart(real,esk967_0),fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0)))),pastecart),s(cart(real,esk967_0),esk968_0))),s(cart(real,esk966_0),i(s(fun(num,cart(real,esk966_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk967_0),real),vectoru_norm),s(cart(real,esk967_0),esk968_0))),
i_0_2824 ).
cnf(c_0_4989,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),X4))))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X4))))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4980,c_0_4979]),c_0_4981]),c_0_4979]),c_0_4981]) ).
cnf(c_0_4990,plain,
s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X2))) = s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))),
inference(rw,[status(thm)],[c_0_4982,c_0_4979]) ).
cnf(c_0_4991,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4983,c_0_4979]),c_0_4979]) ).
cnf(c_0_4992,plain,
s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(num,real),realu_ofu_num),s(num,X1))))),s(num,X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,X2))))),
i_0_3799 ).
cnf(c_0_4993,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X1))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))) = s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4984,c_0_4979]),c_0_4981]) ).
cnf(c_0_4994,plain,
s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X1))),s(num,u_0))) = s(num,u_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4985,c_0_4979]),c_0_4979]) ).
cnf(c_0_4995,plain,
s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X1))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))))) = s(real,X1),
inference(rw,[status(thm)],[c_0_4986,c_0_4979]) ).
cnf(c_0_4996,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,X1))),s(num,i(s(fun(fun(bool,bool),num),card),s(fun(bool,bool),univ))))))) = s(real,i(s(fun(real,real),realu_abs),s(real,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4987,c_0_4979]),c_0_4981]) ).
cnf(c_0_4997,plain,
s(real,i(s(fun(real,real),realu_abs),s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
i_0_3475 ).
cnf(c_0_4998,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk967_0,esk966_0)),real),vectoru_norm),s(cart(real,finite_sum(esk967_0,esk966_0)),i(s(fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0))),i(s(fun(cart(real,esk967_0),fun(cart(real,esk966_0),cart(real,finite_sum(esk967_0,esk966_0)))),pastecart),s(cart(real,esk967_0),esk968_0))),s(cart(real,esk966_0),i(s(fun(num,cart(real,esk966_0)),vec),s(num,u_0))))))) != s(real,i(s(fun(cart(real,esk967_0),real),vectoru_norm),s(cart(real,esk967_0),esk968_0))),
inference(rw,[status(thm)],[c_0_4988,c_0_4979]) ).
cnf(c_0_4999,plain,
s(real,i(s(fun(cart(real,finite_sum(X1,X2)),real),vectoru_norm),s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,X2),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,X1),fun(cart(real,X2),cart(real,finite_sum(X1,X2)))),pastecart),s(cart(real,X1),X3))),s(cart(real,X2),i(s(fun(num,cart(real,X2)),vec),s(num,u_0))))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X3))),
inference(rw,[status(thm)],[inference(rw,[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_4989,c_0_4990]),c_0_4991]),c_0_4992]),c_0_4993]),c_0_4994]),c_0_4995]),c_0_4996]),c_0_4997]) ).
cnf(c_0_5000,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4998,c_0_4999])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO460+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 : 600
% 0.12/0.33 % DateTime : Fri Jun 17 22:22:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.63/0.82 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.82 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.63/0.82 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.63/0.82 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 24.41/7.73 # ENIGMATIC: Solved by autoschedule-lgb:
% 24.41/7.73 # No SInE strategy applied
% 24.41/7.73 # Trying AutoSched0 for 148 seconds
% 24.41/7.73 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 24.41/7.73 # and selection function SelectComplexExceptUniqMaxHorn.
% 24.41/7.73 #
% 24.41/7.73 # Preprocessing time : 0.027 s
% 24.41/7.73 # Presaturation interreduction done
% 24.41/7.73
% 24.41/7.73 # Proof found!
% 24.41/7.73 # SZS status Theorem
% 24.41/7.73 # SZS output start CNFRefutation
% See solution above
% 24.41/7.73 # Training examples: 0 positive, 0 negative
% 24.41/7.73
% 24.41/7.73 # -------------------------------------------------
% 24.41/7.73 # User time : 1.639 s
% 24.41/7.73 # System time : 0.033 s
% 24.41/7.73 # Total time : 1.672 s
% 24.41/7.73 # Maximum resident set size: 7748 pages
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