TSTP Solution File: GEO460+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO460+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 04:05:53 EDT 2022
% Result : Theorem 1.41s 68.60s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 21 ( 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 : 72 ( 2 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aNORMu_PASTECARTu_0u_conjunct0,conjecture,
! [X1353,X1354,X1] : s(real,i(s(fun(cart(real,finite_sum(X1354,X1353)),real),vectoru_norm),s(cart(real,finite_sum(X1354,X1353)),i(s(fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353))),i(s(fun(cart(real,X1354),fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353)))),pastecart),s(cart(real,X1354),X1))),s(cart(real,X1353),i(s(fun(num,cart(real,X1353)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X1354),real),vectoru_norm),s(cart(real,X1354),X1))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',aNORMu_PASTECARTu_0u_conjunct0) ).
fof(aDOTu_SQUAREu_NORM,axiom,
! [X1043,X1] : s(real,i(s(fun(cart(real,X1043),real),i(s(fun(cart(real,X1043),fun(cart(real,X1043),real)),dot),s(cart(real,X1043),X1))),s(cart(real,X1043),X1))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1043),real),vectoru_norm),s(cart(real,X1043),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))))))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',aDOTu_SQUAREu_NORM) ).
fof(aBIT1u_DEF,axiom,
! [X84] : s(num,i(s(fun(num,num),bit1),s(num,X84))) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),bit0),s(num,X84))))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aBIT1u_DEF) ).
fof(aNUMERAL,axiom,
! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aNUMERAL) ).
fof(aSUMu_SINGu_NUMSEG,axiom,
! [X11,X84] : s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X84))),s(num,X84))))),s(fun(num,real),X11))) = s(real,i(s(fun(num,real),X11),s(num,X84))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aSUMu_SINGu_NUMSEG) ).
fof(aNORMu_PASTECART,axiom,
! [X1349,X1350,X1,X8] : s(real,i(s(fun(cart(real,finite_sum(X1349,X1350)),real),vectoru_norm),s(cart(real,finite_sum(X1349,X1350)),i(s(fun(cart(real,X1350),cart(real,finite_sum(X1349,X1350))),i(s(fun(cart(real,X1349),fun(cart(real,X1350),cart(real,finite_sum(X1349,X1350)))),pastecart),s(cart(real,X1349),X1))),s(cart(real,X1350),X8))))) = 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,X1349),real),vectoru_norm),s(cart(real,X1349),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(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1350),real),vectoru_norm),s(cart(real,X1350),X8))))),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/sandbox/solver/bin/../tmp/theBenchmark.p',aNORMu_PASTECART) ).
fof(aNORMu_0,axiom,
! [X1015] : s(real,i(s(fun(cart(real,X1015),real),vectoru_norm),s(cart(real,X1015),i(s(fun(num,cart(real,X1015)),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/sandbox/solver/bin/../tmp/theBenchmark.p',aNORMu_0) ).
fof(aEXPu_2,axiom,
! [X84] : s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X84))),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,X84))),s(num,X84))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aEXPu_2) ).
fof(aMULTu_0,axiom,
! [X85] : s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X85))),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/sandbox/benchmark/Axioms/GEO010+0.ax',aMULTu_0) ).
fof(aREALu_ADDu_RID,axiom,
! [X1] : 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/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_ADDu_RID) ).
fof(avectoru_norm,axiom,
! [X1011,X1] : s(real,i(s(fun(cart(real,X1011),real),vectoru_norm),s(cart(real,X1011),X1))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,X1011),real),i(s(fun(cart(real,X1011),fun(cart(real,X1011),real)),dot),s(cart(real,X1011),X1))),s(cart(real,X1011),X1))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',avectoru_norm) ).
fof(aARITHu_ZEROu_conjunct1,axiom,
s(num,i(s(fun(num,num),bit0),s(num,u_0))) = s(num,u_0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aARITHu_ZEROu_conjunct1) ).
fof(aREALu_OFu_NUMu_POW,axiom,
! [X1,X84] : 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,X84))) = 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,X84))))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO010+0.ax',aREALu_OFu_NUMu_POW) ).
fof(c_0_13,negated_conjecture,
~ ! [X1353,X1354,X1] : s(real,i(s(fun(cart(real,finite_sum(X1354,X1353)),real),vectoru_norm),s(cart(real,finite_sum(X1354,X1353)),i(s(fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353))),i(s(fun(cart(real,X1354),fun(cart(real,X1353),cart(real,finite_sum(X1354,X1353)))),pastecart),s(cart(real,X1354),X1))),s(cart(real,X1353),i(s(fun(num,cart(real,X1353)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) = s(real,i(s(fun(cart(real,X1354),real),vectoru_norm),s(cart(real,X1354),X1))),
inference(assume_negation,[status(cth)],[aNORMu_PASTECARTu_0u_conjunct0]) ).
fof(c_0_14,plain,
! [X1044,X1045] : s(real,i(s(fun(cart(real,X1044),real),i(s(fun(cart(real,X1044),fun(cart(real,X1044),real)),dot),s(cart(real,X1044),X1045))),s(cart(real,X1044),X1045))) = s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,i(s(fun(cart(real,X1044),real),vectoru_norm),s(cart(real,X1044),X1045))))),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))))))))),
inference(variable_rename,[status(thm)],[aDOTu_SQUAREu_NORM]) ).
fof(c_0_15,plain,
! [X85] : s(num,i(s(fun(num,num),bit1),s(num,X85))) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),bit0),s(num,X85))))),
inference(variable_rename,[status(thm)],[aBIT1u_DEF]) ).
fof(c_0_16,plain,
! [X85] : s(num,i(s(fun(num,num),numeral),s(num,X85))) = s(num,X85),
inference(variable_rename,[status(thm)],[aNUMERAL]) ).
fof(c_0_17,plain,
! [X85,X86] : s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X86))),s(num,X86))))),s(fun(num,real),X85))) = s(real,i(s(fun(num,real),X85),s(num,X86))),
inference(variable_rename,[status(thm)],[aSUMu_SINGu_NUMSEG]) ).
fof(c_0_18,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3849_0,esk3848_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3849_0,esk3848_0)),i(s(fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0))),i(s(fun(cart(real,esk3849_0),fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0)))),pastecart),s(cart(real,esk3849_0),esk3850_0))),s(cart(real,esk3848_0),i(s(fun(num,cart(real,esk3848_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk3849_0),real),vectoru_norm),s(cart(real,esk3849_0),esk3850_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_19,plain,
! [X1351,X1352,X1353,X1354] : s(real,i(s(fun(cart(real,finite_sum(X1351,X1352)),real),vectoru_norm),s(cart(real,finite_sum(X1351,X1352)),i(s(fun(cart(real,X1352),cart(real,finite_sum(X1351,X1352))),i(s(fun(cart(real,X1351),fun(cart(real,X1352),cart(real,finite_sum(X1351,X1352)))),pastecart),s(cart(real,X1351),X1353))),s(cart(real,X1352),X1354))))) = 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,X1351),real),vectoru_norm),s(cart(real,X1351),X1353))))),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,X1352),real),vectoru_norm),s(cart(real,X1352),X1354))))),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))))))))))))),
inference(variable_rename,[status(thm)],[aNORMu_PASTECART]) ).
fof(c_0_20,plain,
! [X1016] : s(real,i(s(fun(cart(real,X1016),real),vectoru_norm),s(cart(real,X1016),i(s(fun(num,cart(real,X1016)),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))))),
inference(variable_rename,[status(thm)],[aNORMu_0]) ).
fof(c_0_21,plain,
! [X85] : s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),exp0),s(num,X85))),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,X85))),s(num,X85))),
inference(variable_rename,[status(thm)],[aEXPu_2]) ).
fof(c_0_22,plain,
! [X86] : s(num,i(s(fun(num,num),i(s(fun(num,fun(num,num)),t_),s(num,X86))),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(variable_rename,[status(thm)],[aMULTu_0]) ).
fof(c_0_23,plain,
! [X2] : s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_add),s(real,X2))),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(real,X2),
inference(variable_rename,[status(thm)],[aREALu_ADDu_RID]) ).
fof(c_0_24,plain,
! [X1012,X1013] : s(real,i(s(fun(cart(real,X1012),real),vectoru_norm),s(cart(real,X1012),X1013))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,X1012),real),i(s(fun(cart(real,X1012),fun(cart(real,X1012),real)),dot),s(cart(real,X1012),X1013))),s(cart(real,X1012),X1013))))),
inference(variable_rename,[status(thm)],[avectoru_norm]) ).
cnf(c_0_25,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) = 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),X2))))),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))))))))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
s(num,i(s(fun(num,num),bit1),s(num,X1))) = s(num,i(s(fun(num,num),suc),s(num,i(s(fun(num,num),bit0),s(num,X1))))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
s(num,i(s(fun(num,num),bit0),s(num,u_0))) = s(num,u_0),
inference(split_conjunct,[status(thm)],[aARITHu_ZEROu_conjunct1]) ).
cnf(c_0_28,plain,
s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,X1))),s(num,X1))))),s(fun(num,real),X2))) = s(real,i(s(fun(num,real),X2),s(num,X1))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3849_0,esk3848_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3849_0,esk3848_0)),i(s(fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0))),i(s(fun(cart(real,esk3849_0),fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0)))),pastecart),s(cart(real,esk3849_0),esk3850_0))),s(cart(real,esk3848_0),i(s(fun(num,cart(real,esk3848_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))))) != s(real,i(s(fun(cart(real,esk3849_0),real),vectoru_norm),s(cart(real,esk3849_0),esk3850_0))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,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))))))))))))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,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))))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_33,plain,
! [X85,X86] : 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,X85))))),s(num,X86))) = 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,X85))),s(num,X86))))),
inference(variable_rename,[status(thm)],[aREALu_OFu_NUMu_POW]) ).
cnf(c_0_34,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))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,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))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,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),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))) = s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_38,plain,
s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) = s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))))),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),X2))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_39,negated_conjecture,
s(real,i(s(fun(cart(real,finite_sum(esk3849_0,esk3848_0)),real),vectoru_norm),s(cart(real,finite_sum(esk3849_0,esk3848_0)),i(s(fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0))),i(s(fun(cart(real,esk3849_0),fun(cart(real,esk3848_0),cart(real,finite_sum(esk3849_0,esk3848_0)))),pastecart),s(cart(real,esk3849_0),esk3850_0))),s(cart(real,esk3848_0),i(s(fun(num,cart(real,esk3848_0)),vec),s(num,u_0))))))) != s(real,i(s(fun(cart(real,esk3849_0),real),vectoru_norm),s(cart(real,esk3849_0),esk3850_0))),
inference(rw,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_40,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(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))))),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(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))))),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))))))))))),
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(rw,[status(thm)],[c_0_31,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_26]),c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_41,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_32,c_0_28]),c_0_28]) ).
cnf(c_0_42,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))))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,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),bit0),s(num,i(s(fun(num,num),suc),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))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_44,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_35,c_0_28]),c_0_28]) ).
cnf(c_0_45,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_36,c_0_28]) ).
cnf(c_0_46,plain,
s(real,i(s(fun(real,real),sqrt),s(real,i(s(fun(fun(num,real),real),i(s(fun(fun(num,bool),fun(fun(num,real),real)),sum),s(fun(num,bool),i(s(fun(num,fun(num,bool)),i(s(fun(num,fun(num,fun(num,bool))),o_o_),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),suc),s(num,u_0))))))))),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),X2))))))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),X2))),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_29]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO460+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n009.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 : Fri Jun 17 22:07:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.13/24.18 eprover: CPU time limit exceeded, terminating
% 1.13/24.18 eprover: CPU time limit exceeded, terminating
% 1.13/24.19 eprover: CPU time limit exceeded, terminating
% 1.13/24.20 eprover: CPU time limit exceeded, terminating
% 1.27/47.20 eprover: CPU time limit exceeded, terminating
% 1.27/47.20 eprover: CPU time limit exceeded, terminating
% 1.27/47.22 eprover: CPU time limit exceeded, terminating
% 1.27/47.22 eprover: CPU time limit exceeded, terminating
% 1.41/68.60 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.41/68.60
% 1.41/68.60 # Failure: Resource limit exceeded (time)
% 1.41/68.60 # OLD status Res
% 1.41/68.60 # Preprocessing time : 2.601 s
% 1.41/68.60 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.41/68.60
% 1.41/68.60 # Failure: Resource limit exceeded (time)
% 1.41/68.60 # OLD status Res
% 1.41/68.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.41/68.60 # Preprocessing time : 1.091 s
% 1.41/68.60 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.41/68.60 # Preprocessing time : 2.524 s
% 1.41/68.60
% 1.41/68.60 # Proof found!
% 1.41/68.60 # SZS status Theorem
% 1.41/68.60 # SZS output start CNFRefutation
% See solution above
% 1.41/68.60 # Proof object total steps : 48
% 1.41/68.60 # Proof object clause steps : 22
% 1.41/68.60 # Proof object formula steps : 26
% 1.41/68.60 # Proof object conjectures : 6
% 1.41/68.60 # Proof object clause conjectures : 3
% 1.41/68.60 # Proof object formula conjectures : 3
% 1.41/68.60 # Proof object initial clauses used : 13
% 1.41/68.60 # Proof object initial formulas used : 13
% 1.41/68.60 # Proof object generating inferences : 0
% 1.41/68.60 # Proof object simplifying inferences : 31
% 1.41/68.60 # Training examples: 0 positive, 0 negative
% 1.41/68.60 # Parsed axioms : 3290
% 1.41/68.60 # Removed by relevancy pruning/SinE : 0
% 1.41/68.60 # Initial clauses : 9179
% 1.41/68.60 # Removed in clause preprocessing : 328
% 1.41/68.60 # Initial clauses in saturation : 8851
% 1.41/68.60 # Processed clauses : 2248
% 1.41/68.60 # ...of these trivial : 167
% 1.41/68.60 # ...subsumed : 176
% 1.41/68.60 # ...remaining for further processing : 1905
% 1.41/68.60 # Other redundant clauses eliminated : 0
% 1.41/68.60 # Clauses deleted for lack of memory : 446157
% 1.41/68.60 # Backward-subsumed : 6
% 1.41/68.60 # Backward-rewritten : 192
% 1.41/68.60 # Generated clauses : 682339
% 1.41/68.60 # ...of the previous two non-trivial : 515661
% 1.41/68.60 # Contextual simplify-reflections : 6
% 1.41/68.60 # Paramodulations : 682099
% 1.41/68.60 # Factorizations : 21
% 1.41/68.60 # Equation resolutions : 219
% 1.41/68.60 # Current number of processed clauses : 1707
% 1.41/68.60 # Positive orientable unit clauses : 604
% 1.41/68.60 # Positive unorientable unit clauses: 78
% 1.41/68.60 # Negative unit clauses : 25
% 1.41/68.60 # Non-unit-clauses : 1000
% 1.41/68.60 # Current number of unprocessed clauses: 58643
% 1.41/68.60 # ...number of literals in the above : 170885
% 1.41/68.60 # Current number of archived formulas : 0
% 1.41/68.60 # Current number of archived clauses : 198
% 1.41/68.60 # Clause-clause subsumption calls (NU) : 88235
% 1.41/68.60 # Rec. Clause-clause subsumption calls : 60022
% 1.41/68.60 # Non-unit clause-clause subsumptions : 136
% 1.41/68.60 # Unit Clause-clause subsumption calls : 3082
% 1.41/68.60 # Rewrite failures with RHS unbound : 22
% 1.41/68.60 # BW rewrite match attempts : 249926
% 1.41/68.60 # BW rewrite match successes : 2325
% 1.41/68.60 # Condensation attempts : 0
% 1.41/68.60 # Condensation successes : 0
% 1.41/68.60 # Termbank termtop insertions : 67861109
% 1.41/68.60
% 1.41/68.60 # -------------------------------------------------
% 1.41/68.60 # User time : 21.163 s
% 1.41/68.60 # System time : 0.147 s
% 1.41/68.60 # Total time : 21.310 s
% 1.41/68.60 # Maximum resident set size: 162524 pages
%------------------------------------------------------------------------------