TSTP Solution File: GEO463+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO463+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n067.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 14:02:39 EST 2017
% Result : Theorem 26.74s
% Output : CNFRefutation 26.74s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO463+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n067.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 20 11:04:50 CST 2017
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for [GEO010+0.ax]
% 26.74/26.99 -running prover on /export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1 with time limit 29
% 26.74/26.99 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1']
% 26.74/26.99 -prover status Theorem
% 26.74/26.99 Problem theBenchmark.p solved in phase 0.
% 26.74/26.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.74/26.99 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.74/26.99 Solved 1 out of 1.
% 26.74/26.99 # Problem is unsatisfiable (or provable), constructing proof object
% 26.74/26.99 # SZS status Theorem
% 26.74/26.99 # SZS output start CNFRefutation.
% 26.74/26.99 fof(365, axiom,![X2]:equal(s(num,i(s(fun(num,num),numeral),s(num,X2))), s(num,X2)),file('/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1', aNUMERAL)).
% 26.74/26.99 fof(845, axiom,![X7]:![X3]:![X4]:equal(s(bool,i(s(fun(fun(X7,bool),bool),i(s(fun(X7,fun(fun(X7,bool),bool)),in),s(X7,X4))),s(fun(X7,bool),X3))), s(bool,i(s(fun(X7,bool),X3),s(X7,X4)))),file('/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1', aIN)).
% 26.74/26.99 fof(2076,
% axiom,![X714]:![X8]:(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),subspace),s(fun(cart(real,X714),bool),X8))))<=>((p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(num,cart(real,X714)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X714),bool),X8))))&![X4]:![X5]:((p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8))))&p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X5))),s(fun(cart(real,X714),bool),X8)))))=>p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(cart(real,X714),fun(cart(real,X714),cart(real,X714))),vectoru_add),s(cart(real,X714),X4))),s(cart(real,X714),X5)
% )))),s(fun(cart(real,X714),bool),X8))))))&![X27]:![X4]:(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8))))=>p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(real,fun(cart(real,X714),cart(real,X714))),r_),s(real,X27))),s(cart(real,X714),X4))))),s(fun(cart(real,X714),bool),X8))))))),file('/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1', asubspace)).
% 26.74/26.99 fof(2197, axiom,![X806]:![X8]:p(s(bool,i(s(fun(fun(cart(real,X806),bool),bool),subspace),s(fun(cart(real,X806),bool),i(s(fun(fun(cart(real,X806),bool),fun(cart(real,X806),bool)),span),s(fun(cart(real,X806),bool),X8)))))),file('/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1', aSUBSPACEu_SPAN)).
% 26.74/26.99 fof(2351, conjecture,![X921]:p(s(bool,i(s(fun(fun(cart(real,X921),bool),bool),i(s(fun(cart(real,X921),fun(fun(cart(real,X921),bool),bool)),in),s(cart(real,X921),i(s(fun(num,cart(real,X921)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X921),bool),i(s(fun(fun(cart(real,X921),bool),fun(cart(real,X921),bool)),span),s(fun(cart(real,X921),bool),s0)))))),file('/export/starexec/sandbox/tmp/tmpWejswd/sel_theBenchmark.p_1', aSPANu_CLAUSESu_conjunct1)).
% 26.74/26.99 fof(2636, negated_conjecture,~(![X921]:p(s(bool,i(s(fun(fun(cart(real,X921),bool),bool),i(s(fun(cart(real,X921),fun(fun(cart(real,X921),bool),bool)),in),s(cart(real,X921),i(s(fun(num,cart(real,X921)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X921),bool),i(s(fun(fun(cart(real,X921),bool),fun(cart(real,X921),bool)),span),s(fun(cart(real,X921),bool),s0))))))),inference(assume_negation,[status(cth)],[2351])).
% 26.74/26.99 fof(4712, plain,![X3]:equal(s(num,i(s(fun(num,num),numeral),s(num,X3))), s(num,X3)),inference(variable_rename,[status(thm)],[365])).
% 26.74/26.99 cnf(4713,plain,(s(num,i(s(fun(num,num),numeral),s(num,X1)))=s(num,X1)),inference(split_conjunct,[status(thm)],[4712])).
% 26.74/26.99 fof(7232, plain,![X8]:![X9]:![X10]:equal(s(bool,i(s(fun(fun(X8,bool),bool),i(s(fun(X8,fun(fun(X8,bool),bool)),in),s(X8,X10))),s(fun(X8,bool),X9))), s(bool,i(s(fun(X8,bool),X9),s(X8,X10)))),inference(variable_rename,[status(thm)],[845])).
% 26.74/26.99 cnf(7233,plain,(s(bool,i(s(fun(fun(X1,bool),bool),i(s(fun(X1,fun(fun(X1,bool),bool)),in),s(X1,X2))),s(fun(X1,bool),X3)))=s(bool,i(s(fun(X1,bool),X3),s(X1,X2)))),inference(split_conjunct,[status(thm)],[7232])).
% 26.74/26.99 fof(13894,
% plain,![X714]:![X8]:((~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),subspace),s(fun(cart(real,X714),bool),X8)))))|((p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(num,cart(real,X714)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X714),bool),X8))))&![X4]:![X5]:((~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8)))))|~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X5))),s(fun(cart(real,X714),bool),X8))))))|p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(cart(real,X714),fun(cart(real,X714),cart(real,X714))),vectoru_add),s(cart(real,X714),X4))),s(cart(real,X7
% 14),X5))))),s(fun(cart(real,X714),bool),X8))))))&![X27]:![X4]:(~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8)))))|p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(real,fun(cart(real,X714),cart(real,X714))),r_),s(real,X27))),s(cart(real,X714),X4))))),s(fun(cart(real,X714),bool),X8)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(num,cart(real,X714)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X714),bool),X8)))))|?[X4]:?[X5]:((p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8))))&p(s(bool,i(s(fun(fun(cart(real,X714)
% ,bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X5))),s(fun(cart(real,X714),bool),X8)))))&~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(cart(real,X714),fun(cart(real,X714),cart(real,X714))),vectoru_add),s(cart(real,X714),X4))),s(cart(real,X714),X5))))),s(fun(cart(real,X714),bool),X8)))))))|?[X27]:?[X4]:(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),X4))),s(fun(cart(real,X714),bool),X8))))&~(p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),i(s(fun(cart(real,X714),fun(fun(cart(real,X714),bool),bool)),in),s(cart(real,X714),i(s(fun(cart(real,X714),cart(real,X714)),i(s(fun(real,fun(cart(real,X714),cart(real,X714))),r_),s(real,X27))),s(cart(real,X714),X4))))),s(fun(cart(real,X714),bool),X8)))))))|p(s(bool,i(s(fun(fun(cart(real,X714),bool),bool),subs
% pace),s(fun(cart(real,X714),bool),X8)))))),inference(fof_nnf,[status(thm)],[2076])).
% 26.74/26.99 fof(13895,
% plain,![X715]:![X716]:((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))|((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716))))&![X717]:![X718]:((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X717))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X718))),s(fun(cart(real,X715),bool),X716))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),X7
% 17))),s(cart(real,X715),X718))))),s(fun(cart(real,X715),bool),X716))))))&![X719]:![X720]:(~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X720))),s(fun(cart(real,X715),bool),X716)))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,X719))),s(cart(real,X715),X720))))),s(fun(cart(real,X715),bool),X716)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))|?[X721]:?[X722]:((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X721))),s(fun(cart(real,X715),bool)
% ,X716))))&p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X722))),s(fun(cart(real,X715),bool),X716)))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),X721))),s(cart(real,X715),X722))))),s(fun(cart(real,X715),bool),X716)))))))|?[X723]:?[X724]:(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X724))),s(fun(cart(real,X715),bool),X716))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,X723))),s(cart(real,X715),X724))))),s(fun(cart(real,X715),boo
% l),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))),inference(variable_rename,[status(thm)],[13894])).
% 26.74/26.99 fof(13896,
% plain,![X715]:![X716]:((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))|((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716))))&![X717]:![X718]:((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X717))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X718))),s(fun(cart(real,X715),bool),X716))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),X7
% 17))),s(cart(real,X715),X718))))),s(fun(cart(real,X715),bool),X716))))))&![X719]:![X720]:(~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X720))),s(fun(cart(real,X715),bool),X716)))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,X719))),s(cart(real,X715),X720))))),s(fun(cart(real,X715),bool),X716)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))|((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2234_2(X715,X716)))),s(fun(cart(real,X715),bool)
% ,X716))))&p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2235_2(X715,X716)))),s(fun(cart(real,X715),bool),X716)))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),esk2234_2(X715,X716)))),s(cart(real,X715),esk2235_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2237_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,esk2236_2(X71
% 5,X716)))),s(cart(real,X715),esk2237_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))),inference(skolemize,[status(esa)],[13895])).
% 26.74/26.99 fof(13897,
% plain,![X715]:![X716]:![X717]:![X718]:![X719]:![X720]:((((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X720))),s(fun(cart(real,X715),bool),X716)))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,X719))),s(cart(real,X715),X720))))),s(fun(cart(real,X715),bool),X716)))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X717))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X718))),s(fun(cart(real,X715),bool),X716))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in)
% ,s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),X717))),s(cart(real,X715),X718))))),s(fun(cart(real,X715),bool),X716)))))&p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716))))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))|((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2234_2(X715,X716)))),s(fun(cart(real,X715),bool)
% ,X716))))&p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2235_2(X715,X716)))),s(fun(cart(real,X715),bool),X716)))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),esk2234_2(X715,X716)))),s(cart(real,X715),esk2235_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2237_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))&~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,esk2236_2(X71
% 5,X716)))),s(cart(real,X715),esk2237_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))),inference(shift_quantors,[status(thm)],[13896])).
% 26.74/26.99 fof(13898,
% plain,![X715]:![X716]:![X717]:![X718]:![X719]:![X720]:((((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X720))),s(fun(cart(real,X715),bool),X716)))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,X719))),s(cart(real,X715),X720))))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716))))))&((((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X717))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),X718))),s(fun(cart(real,X715),bool),X716))))))|p(s(bool,i(s
% (fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),X717))),s(cart(real,X715),X718))))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716))))))&(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716))))))))&(((((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2237_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool)
% ,bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2234_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,esk2236_2(X715,X716)))),s(cart(real,X715),esk2237_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2234_2(X715,X716)))),s(fun(cart(real,X
% 715),bool),X716))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716))))))&(((p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2237_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2235_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(
% s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,esk2236_2(X715,X716)))),s(cart(real,X715),esk2237_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))|(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2235_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))))&(((p(s(bool,i(s(fun(fun(cart(real,
% X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),esk2237_2(X715,X716)))),s(fun(cart(real,X715),bool),X716))))|(~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),esk2234_2(X715,X716)))),s(cart(real,X715),esk2235_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X71
% 5),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(real,fun(cart(real,X715),cart(real,X715))),r_),s(real,esk2236_2(X715,X716)))),s(cart(real,X715),esk2237_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))|(~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(cart(real,X715),cart(real,X715)),i(s(fun(cart(real,X715),fun(cart(real,X715),cart(real,X715))),vectoru_add),s(cart(real,X715),esk2234_2(X715,X716)))),s(cart(real,X715),esk2235_2(X715,X716)))))),s(fun(cart(real,X715),bool),X716)))))|~(p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),i(s(fun(cart(real,X715),fun(fun(cart(real,X715),bool),bool)),in),s(cart(real,X715),i(s(fun(num,cart(real,X715)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X715),bool),X716)))))))|p(s(bool,i(s(fun(fun(cart(real,X715),bool),bool),subspace),s(fun(cart(real,X715),bool),X716)))))))),inference(distribute,[status(thm)],[13897])).
% 26.74/26.99 cnf(13905,plain,(p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),i(s(fun(cart(real,X1),fun(fun(cart(real,X1),bool),bool)),in),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(fun(cart(real,X1),bool),X2))))|~p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))),inference(split_conjunct,[status(thm)],[13898])).
% 26.74/26.99 fof(14337, plain,![X807]:![X808]:p(s(bool,i(s(fun(fun(cart(real,X807),bool),bool),subspace),s(fun(cart(real,X807),bool),i(s(fun(fun(cart(real,X807),bool),fun(cart(real,X807),bool)),span),s(fun(cart(real,X807),bool),X808)))))),inference(variable_rename,[status(thm)],[2197])).
% 26.74/26.99 cnf(14338,plain,(p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),i(s(fun(fun(cart(real,X1),bool),fun(cart(real,X1),bool)),span),s(fun(cart(real,X1),bool),X2))))))),inference(split_conjunct,[status(thm)],[14337])).
% 26.74/26.99 fof(14951, negated_conjecture,?[X921]:~(p(s(bool,i(s(fun(fun(cart(real,X921),bool),bool),i(s(fun(cart(real,X921),fun(fun(cart(real,X921),bool),bool)),in),s(cart(real,X921),i(s(fun(num,cart(real,X921)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X921),bool),i(s(fun(fun(cart(real,X921),bool),fun(cart(real,X921),bool)),span),s(fun(cart(real,X921),bool),s0))))))),inference(fof_nnf,[status(thm)],[2636])).
% 26.74/26.99 fof(14952, negated_conjecture,?[X922]:~(p(s(bool,i(s(fun(fun(cart(real,X922),bool),bool),i(s(fun(cart(real,X922),fun(fun(cart(real,X922),bool),bool)),in),s(cart(real,X922),i(s(fun(num,cart(real,X922)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X922),bool),i(s(fun(fun(cart(real,X922),bool),fun(cart(real,X922),bool)),span),s(fun(cart(real,X922),bool),s0))))))),inference(variable_rename,[status(thm)],[14951])).
% 26.74/26.99 fof(14953, negated_conjecture,~(p(s(bool,i(s(fun(fun(cart(real,esk2504_0),bool),bool),i(s(fun(cart(real,esk2504_0),fun(fun(cart(real,esk2504_0),bool),bool)),in),s(cart(real,esk2504_0),i(s(fun(num,cart(real,esk2504_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,esk2504_0),bool),i(s(fun(fun(cart(real,esk2504_0),bool),fun(cart(real,esk2504_0),bool)),span),s(fun(cart(real,esk2504_0),bool),s0))))))),inference(skolemize,[status(esa)],[14952])).
% 26.74/26.99 cnf(14954,negated_conjecture,(~p(s(bool,i(s(fun(fun(cart(real,esk2504_0),bool),bool),i(s(fun(cart(real,esk2504_0),fun(fun(cart(real,esk2504_0),bool),bool)),in),s(cart(real,esk2504_0),i(s(fun(num,cart(real,esk2504_0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,esk2504_0),bool),i(s(fun(fun(cart(real,esk2504_0),bool),fun(cart(real,esk2504_0),bool)),span),s(fun(cart(real,esk2504_0),bool),s0))))))),inference(split_conjunct,[status(thm)],[14953])).
% 26.74/26.99 cnf(516850,negated_conjecture,(~p(s(bool,i(s(fun(cart(real,esk2504_0),bool),i(s(fun(fun(cart(real,esk2504_0),bool),fun(cart(real,esk2504_0),bool)),span),s(fun(cart(real,esk2504_0),bool),s0))),s(cart(real,esk2504_0),i(s(fun(num,cart(real,esk2504_0)),vec),s(num,u_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14954,4713,theory(equality)]),7233,theory(equality)])).
% 26.74/26.99 cnf(518991,plain,(p(s(bool,i(s(fun(cart(real,X1),bool),X2),s(cart(real,X1),i(s(fun(num,cart(real,X1)),vec),s(num,u_0))))))|~p(s(bool,i(s(fun(fun(cart(real,X1),bool),bool),subspace),s(fun(cart(real,X1),bool),X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13905,4713,theory(equality)]),7233,theory(equality)])).
% 26.74/26.99 cnf(519048,negated_conjecture,(~p(s(bool,i(s(fun(fun(cart(real,esk2504_0),bool),bool),subspace),s(fun(cart(real,esk2504_0),bool),i(s(fun(fun(cart(real,esk2504_0),bool),fun(cart(real,esk2504_0),bool)),span),s(fun(cart(real,esk2504_0),bool),s0))))))),inference(spm,[status(thm)],[516850,518991,theory(equality)])).
% 26.74/26.99 cnf(519208,negated_conjecture,($false),inference(rw,[status(thm)],[519048,14338,theory(equality)])).
% 26.74/26.99 cnf(519209,negated_conjecture,($false),inference(cn,[status(thm)],[519208,theory(equality)])).
% 26.74/26.99 cnf(519210,negated_conjecture,($false),519209,['proof']).
% 26.74/26.99 # SZS output end CNFRefutation
%------------------------------------------------------------------------------