TSTP Solution File: GEO461+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO461+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 04:05:54 EDT 2022

% Result   : Theorem 1.01s 8.20s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   16 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  15 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aDISTu_PASTECARTu_CANCELu_conjunct1,conjecture,
    ! [X1359,X1360,X1,X8,X252] : s(real,i(s(fun(prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))),real),distance),s(prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,finite_sum(X1359,X1360)),prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360)))),i(s(fun(cart(real,finite_sum(X1359,X1360)),fun(cart(real,finite_sum(X1359,X1360)),prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))))),c_),s(cart(real,finite_sum(X1359,X1360)),i(s(fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,X1359),fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360)))),pastecart),s(cart(real,X1359),X1))),s(cart(real,X1360),X8))))),s(cart(real,finite_sum(X1359,X1360)),i(s(fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,X1359),fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360)))),pastecart),s(cart(real,X1359),X1))),s(cart(real,X1360),X252))))))) = s(real,i(s(fun(prod(cart(real,X1360),cart(real,X1360)),real),distance),s(prod(cart(real,X1360),cart(real,X1360)),i(s(fun(cart(real,X1360),prod(cart(real,X1360),cart(real,X1360))),i(s(fun(cart(real,X1360),fun(cart(real,X1360),prod(cart(real,X1360),cart(real,X1360)))),c_),s(cart(real,X1360),X8))),s(cart(real,X1360),X252))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aDISTu_PASTECARTu_CANCELu_conjunct1) ).

fof(aVECTORu_SUBu_REFL,axiom,
    ! [X975,X1] : s(cart(real,X975),i(s(fun(cart(real,X975),cart(real,X975)),i(s(fun(cart(real,X975),fun(cart(real,X975),cart(real,X975))),vectoru_sub),s(cart(real,X975),X1))),s(cart(real,X975),X1))) = s(cart(real,X975),i(s(fun(num,cart(real,X975)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aVECTORu_SUBu_REFL) ).

fof(aNUMERAL,axiom,
    ! [X84] : s(num,i(s(fun(num,num),numeral),s(num,X84))) = s(num,X84),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO010+0.ax',aNUMERAL) ).

fof(aNORMu_PASTECARTu_0u_conjunct1,axiom,
    ! [X1355,X1356,X8] : s(real,i(s(fun(cart(real,finite_sum(X1355,X1356)),real),vectoru_norm),s(cart(real,finite_sum(X1355,X1356)),i(s(fun(cart(real,X1356),cart(real,finite_sum(X1355,X1356))),i(s(fun(cart(real,X1355),fun(cart(real,X1356),cart(real,finite_sum(X1355,X1356)))),pastecart),s(cart(real,X1355),i(s(fun(num,cart(real,X1355)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1356),X8))))) = s(real,i(s(fun(cart(real,X1356),real),vectoru_norm),s(cart(real,X1356),X8))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aNORMu_PASTECARTu_0u_conjunct1) ).

fof(adist,axiom,
    ! [X1012,X1,X8] : s(real,i(s(fun(prod(cart(real,X1012),cart(real,X1012)),real),distance),s(prod(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012))),i(s(fun(cart(real,X1012),fun(cart(real,X1012),prod(cart(real,X1012),cart(real,X1012)))),c_),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))) = s(real,i(s(fun(cart(real,X1012),real),vectoru_norm),s(cart(real,X1012),i(s(fun(cart(real,X1012),cart(real,X1012)),i(s(fun(cart(real,X1012),fun(cart(real,X1012),cart(real,X1012))),vectoru_sub),s(cart(real,X1012),X1))),s(cart(real,X1012),X8))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',adist) ).

fof(aPASTECARTu_SUB,axiom,
    ! [X738,X733,X32,X100,X81,X101] : s(cart(real,finite_sum(X738,X733)),i(s(fun(cart(real,finite_sum(X738,X733)),cart(real,finite_sum(X738,X733))),i(s(fun(cart(real,finite_sum(X738,X733)),fun(cart(real,finite_sum(X738,X733)),cart(real,finite_sum(X738,X733)))),vectoru_sub),s(cart(real,finite_sum(X738,X733)),i(s(fun(cart(real,X733),cart(real,finite_sum(X738,X733))),i(s(fun(cart(real,X738),fun(cart(real,X733),cart(real,finite_sum(X738,X733)))),pastecart),s(cart(real,X738),X32))),s(cart(real,X733),X100))))),s(cart(real,finite_sum(X738,X733)),i(s(fun(cart(real,X733),cart(real,finite_sum(X738,X733))),i(s(fun(cart(real,X738),fun(cart(real,X733),cart(real,finite_sum(X738,X733)))),pastecart),s(cart(real,X738),X81))),s(cart(real,X733),X101))))) = s(cart(real,finite_sum(X738,X733)),i(s(fun(cart(real,X733),cart(real,finite_sum(X738,X733))),i(s(fun(cart(real,X738),fun(cart(real,X733),cart(real,finite_sum(X738,X733)))),pastecart),s(cart(real,X738),i(s(fun(cart(real,X738),cart(real,X738)),i(s(fun(cart(real,X738),fun(cart(real,X738),cart(real,X738))),vectoru_sub),s(cart(real,X738),X32))),s(cart(real,X738),X81))))),s(cart(real,X733),i(s(fun(cart(real,X733),cart(real,X733)),i(s(fun(cart(real,X733),fun(cart(real,X733),cart(real,X733))),vectoru_sub),s(cart(real,X733),X100))),s(cart(real,X733),X101))))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',aPASTECARTu_SUB) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1359,X1360,X1,X8,X252] : s(real,i(s(fun(prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))),real),distance),s(prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,finite_sum(X1359,X1360)),prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360)))),i(s(fun(cart(real,finite_sum(X1359,X1360)),fun(cart(real,finite_sum(X1359,X1360)),prod(cart(real,finite_sum(X1359,X1360)),cart(real,finite_sum(X1359,X1360))))),c_),s(cart(real,finite_sum(X1359,X1360)),i(s(fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,X1359),fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360)))),pastecart),s(cart(real,X1359),X1))),s(cart(real,X1360),X8))))),s(cart(real,finite_sum(X1359,X1360)),i(s(fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360))),i(s(fun(cart(real,X1359),fun(cart(real,X1360),cart(real,finite_sum(X1359,X1360)))),pastecart),s(cart(real,X1359),X1))),s(cart(real,X1360),X252))))))) = s(real,i(s(fun(prod(cart(real,X1360),cart(real,X1360)),real),distance),s(prod(cart(real,X1360),cart(real,X1360)),i(s(fun(cart(real,X1360),prod(cart(real,X1360),cart(real,X1360))),i(s(fun(cart(real,X1360),fun(cart(real,X1360),prod(cart(real,X1360),cart(real,X1360)))),c_),s(cart(real,X1360),X8))),s(cart(real,X1360),X252))))),
    inference(assume_negation,[status(cth)],[aDISTu_PASTECARTu_CANCELu_conjunct1]) ).

fof(c_0_7,plain,
    ! [X976,X977] : s(cart(real,X976),i(s(fun(cart(real,X976),cart(real,X976)),i(s(fun(cart(real,X976),fun(cart(real,X976),cart(real,X976))),vectoru_sub),s(cart(real,X976),X977))),s(cart(real,X976),X977))) = s(cart(real,X976),i(s(fun(num,cart(real,X976)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))),
    inference(variable_rename,[status(thm)],[aVECTORu_SUBu_REFL]) ).

fof(c_0_8,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_9,plain,
    ! [X1357,X1358,X1359] : s(real,i(s(fun(cart(real,finite_sum(X1357,X1358)),real),vectoru_norm),s(cart(real,finite_sum(X1357,X1358)),i(s(fun(cart(real,X1358),cart(real,finite_sum(X1357,X1358))),i(s(fun(cart(real,X1357),fun(cart(real,X1358),cart(real,finite_sum(X1357,X1358)))),pastecart),s(cart(real,X1357),i(s(fun(num,cart(real,X1357)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X1358),X1359))))) = s(real,i(s(fun(cart(real,X1358),real),vectoru_norm),s(cart(real,X1358),X1359))),
    inference(variable_rename,[status(thm)],[aNORMu_PASTECARTu_0u_conjunct1]) ).

fof(c_0_10,negated_conjecture,
    s(real,i(s(fun(prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))),real),distance),s(prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,finite_sum(esk1_0,esk2_0)),prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0)))),i(s(fun(cart(real,finite_sum(esk1_0,esk2_0)),fun(cart(real,finite_sum(esk1_0,esk2_0)),prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))))),c_),s(cart(real,finite_sum(esk1_0,esk2_0)),i(s(fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0)))),pastecart),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk2_0),esk4_0))))),s(cart(real,finite_sum(esk1_0,esk2_0)),i(s(fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0)))),pastecart),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk2_0),esk5_0))))))) != s(real,i(s(fun(prod(cart(real,esk2_0),cart(real,esk2_0)),real),distance),s(prod(cart(real,esk2_0),cart(real,esk2_0)),i(s(fun(cart(real,esk2_0),prod(cart(real,esk2_0),cart(real,esk2_0))),i(s(fun(cart(real,esk2_0),fun(cart(real,esk2_0),prod(cart(real,esk2_0),cart(real,esk2_0)))),c_),s(cart(real,esk2_0),esk4_0))),s(cart(real,esk2_0),esk5_0))))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_11,plain,
    ! [X1013,X1014,X1015] : s(real,i(s(fun(prod(cart(real,X1013),cart(real,X1013)),real),distance),s(prod(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013))),i(s(fun(cart(real,X1013),fun(cart(real,X1013),prod(cart(real,X1013),cart(real,X1013)))),c_),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))) = s(real,i(s(fun(cart(real,X1013),real),vectoru_norm),s(cart(real,X1013),i(s(fun(cart(real,X1013),cart(real,X1013)),i(s(fun(cart(real,X1013),fun(cart(real,X1013),cart(real,X1013))),vectoru_sub),s(cart(real,X1013),X1014))),s(cart(real,X1013),X1015))))),
    inference(variable_rename,[status(thm)],[adist]) ).

fof(c_0_12,plain,
    ! [X739,X740,X741,X742,X743,X744] : s(cart(real,finite_sum(X739,X740)),i(s(fun(cart(real,finite_sum(X739,X740)),cart(real,finite_sum(X739,X740))),i(s(fun(cart(real,finite_sum(X739,X740)),fun(cart(real,finite_sum(X739,X740)),cart(real,finite_sum(X739,X740)))),vectoru_sub),s(cart(real,finite_sum(X739,X740)),i(s(fun(cart(real,X740),cart(real,finite_sum(X739,X740))),i(s(fun(cart(real,X739),fun(cart(real,X740),cart(real,finite_sum(X739,X740)))),pastecart),s(cart(real,X739),X741))),s(cart(real,X740),X742))))),s(cart(real,finite_sum(X739,X740)),i(s(fun(cart(real,X740),cart(real,finite_sum(X739,X740))),i(s(fun(cart(real,X739),fun(cart(real,X740),cart(real,finite_sum(X739,X740)))),pastecart),s(cart(real,X739),X743))),s(cart(real,X740),X744))))) = s(cart(real,finite_sum(X739,X740)),i(s(fun(cart(real,X740),cart(real,finite_sum(X739,X740))),i(s(fun(cart(real,X739),fun(cart(real,X740),cart(real,finite_sum(X739,X740)))),pastecart),s(cart(real,X739),i(s(fun(cart(real,X739),cart(real,X739)),i(s(fun(cart(real,X739),fun(cart(real,X739),cart(real,X739))),vectoru_sub),s(cart(real,X739),X741))),s(cart(real,X739),X743))))),s(cart(real,X740),i(s(fun(cart(real,X740),cart(real,X740)),i(s(fun(cart(real,X740),fun(cart(real,X740),cart(real,X740))),vectoru_sub),s(cart(real,X740),X742))),s(cart(real,X740),X744))))),
    inference(variable_rename,[status(thm)],[aPASTECARTu_SUB]) ).

cnf(c_0_13,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))))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,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),i(s(fun(num,cart(real,X1)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(real,X2),X3))))) = s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    s(real,i(s(fun(prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))),real),distance),s(prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,finite_sum(esk1_0,esk2_0)),prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0)))),i(s(fun(cart(real,finite_sum(esk1_0,esk2_0)),fun(cart(real,finite_sum(esk1_0,esk2_0)),prod(cart(real,finite_sum(esk1_0,esk2_0)),cart(real,finite_sum(esk1_0,esk2_0))))),c_),s(cart(real,finite_sum(esk1_0,esk2_0)),i(s(fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0)))),pastecart),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk2_0),esk4_0))))),s(cart(real,finite_sum(esk1_0,esk2_0)),i(s(fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0))),i(s(fun(cart(real,esk1_0),fun(cart(real,esk2_0),cart(real,finite_sum(esk1_0,esk2_0)))),pastecart),s(cart(real,esk1_0),esk3_0))),s(cart(real,esk2_0),esk5_0))))))) != s(real,i(s(fun(prod(cart(real,esk2_0),cart(real,esk2_0)),real),distance),s(prod(cart(real,esk2_0),cart(real,esk2_0)),i(s(fun(cart(real,esk2_0),prod(cart(real,esk2_0),cart(real,esk2_0))),i(s(fun(cart(real,esk2_0),fun(cart(real,esk2_0),prod(cart(real,esk2_0),cart(real,esk2_0)))),c_),s(cart(real,esk2_0),esk4_0))),s(cart(real,esk2_0),esk5_0))))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),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),X3))))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    s(cart(real,finite_sum(X1,X2)),i(s(fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2))),i(s(fun(cart(real,finite_sum(X1,X2)),fun(cart(real,finite_sum(X1,X2)),cart(real,finite_sum(X1,X2)))),vectoru_sub),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(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),X5))),s(cart(real,X2),X6))))) = 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),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),X3))),s(cart(real,X1),X5))))),s(cart(real,X2),i(s(fun(cart(real,X2),cart(real,X2)),i(s(fun(cart(real,X2),fun(cart(real,X2),cart(real,X2))),vectoru_sub),s(cart(real,X2),X4))),s(cart(real,X2),X6))))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,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_13,c_0_14]) ).

cnf(c_0_20,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),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))),s(cart(real,X2),X3))))) = s(real,i(s(fun(cart(real,X2),real),vectoru_norm),s(cart(real,X2),X3))),
    inference(rw,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_21,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)],[c_0_16,c_0_17]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO461+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 18:18:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.01/8.20  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.01/8.20  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.01/8.20  # Preprocessing time       : 0.485 s
% 1.01/8.20  
% 1.01/8.20  # Proof found!
% 1.01/8.20  # SZS status Theorem
% 1.01/8.20  # SZS output start CNFRefutation
% See solution above
% 1.01/8.20  # Proof object total steps             : 22
% 1.01/8.20  # Proof object clause steps            : 9
% 1.01/8.20  # Proof object formula steps           : 13
% 1.01/8.20  # Proof object conjectures             : 5
% 1.01/8.20  # Proof object clause conjectures      : 2
% 1.01/8.20  # Proof object formula conjectures     : 3
% 1.01/8.20  # Proof object initial clauses used    : 6
% 1.01/8.20  # Proof object initial formulas used   : 6
% 1.01/8.20  # Proof object generating inferences   : 0
% 1.01/8.20  # Proof object simplifying inferences  : 8
% 1.01/8.20  # Training examples: 0 positive, 0 negative
% 1.01/8.20  # Parsed axioms                        : 3293
% 1.01/8.20  # Removed by relevancy pruning/SinE    : 2792
% 1.01/8.20  # Initial clauses                      : 1138
% 1.01/8.20  # Removed in clause preprocessing      : 160
% 1.01/8.20  # Initial clauses in saturation        : 978
% 1.01/8.20  # Processed clauses                    : 985
% 1.01/8.20  # ...of these trivial                  : 7
% 1.01/8.20  # ...subsumed                          : 40
% 1.01/8.20  # ...remaining for further processing  : 937
% 1.01/8.20  # Other redundant clauses eliminated   : 0
% 1.01/8.20  # Clauses deleted for lack of memory   : 48669
% 1.01/8.20  # Backward-subsumed                    : 1
% 1.01/8.20  # Backward-rewritten                   : 22
% 1.01/8.20  # Generated clauses                    : 152945
% 1.01/8.20  # ...of the previous two non-trivial   : 136676
% 1.01/8.20  # Contextual simplify-reflections      : 0
% 1.01/8.20  # Paramodulations                      : 152877
% 1.01/8.20  # Factorizations                       : 8
% 1.01/8.20  # Equation resolutions                 : 60
% 1.01/8.20  # Current number of processed clauses  : 914
% 1.01/8.20  #    Positive orientable unit clauses  : 127
% 1.01/8.20  #    Positive unorientable unit clauses: 42
% 1.01/8.20  #    Negative unit clauses             : 0
% 1.01/8.20  #    Non-unit-clauses                  : 745
% 1.01/8.20  # Current number of unprocessed clauses: 86246
% 1.01/8.20  # ...number of literals in the above   : 385205
% 1.01/8.20  # Current number of archived formulas  : 0
% 1.01/8.20  # Current number of archived clauses   : 23
% 1.01/8.20  # Clause-clause subsumption calls (NU) : 458535
% 1.01/8.20  # Rec. Clause-clause subsumption calls : 40569
% 1.01/8.20  # Non-unit clause-clause subsumptions  : 39
% 1.01/8.20  # Unit Clause-clause subsumption calls : 841
% 1.01/8.20  # Rewrite failures with RHS unbound    : 0
% 1.01/8.20  # BW rewrite match attempts            : 21421
% 1.01/8.20  # BW rewrite match successes           : 219
% 1.01/8.20  # Condensation attempts                : 0
% 1.01/8.20  # Condensation successes               : 0
% 1.01/8.20  # Termbank termtop insertions          : 25847327
% 1.01/8.20  
% 1.01/8.20  # -------------------------------------------------
% 1.01/8.20  # User time                : 6.773 s
% 1.01/8.20  # System time              : 0.121 s
% 1.01/8.20  # Total time               : 6.894 s
% 1.01/8.20  # Maximum resident set size: 142704 pages
% 1.01/24.16  eprover: CPU time limit exceeded, terminating
% 1.01/24.16  eprover: CPU time limit exceeded, terminating
% 1.01/24.17  eprover: CPU time limit exceeded, terminating
% 1.01/24.17  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.17  eprover: No such file or directory
% 1.01/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.18  eprover: No such file or directory
% 1.01/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.18  eprover: No such file or directory
% 1.01/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.18  eprover: No such file or directory
% 1.01/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.18  eprover: No such file or directory
% 1.01/24.18  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.18  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.19  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.19  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.20  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.20  eprover: No such file or directory
% 1.01/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21  eprover: No such file or directory
% 1.01/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.21  eprover: No such file or directory
% 1.01/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21  eprover: No such file or directory
% 1.01/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.21  eprover: No such file or directory
% 1.01/24.21  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.21  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.22  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.22  eprover: No such file or directory
% 1.01/24.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.01/24.23  eprover: No such file or directory
% 1.01/24.23  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.01/24.23  eprover: No such file or directory
%------------------------------------------------------------------------------