TSTP Solution File: GEO462+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO462+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n029.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 26.38s
% Output : CNFRefutation 26.38s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO462+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.05 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n029.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.75MB
% 0.03/0.24 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 20 10:48:02 CST 2017
% 0.03/0.24 % CPUTime :
% 0.09/0.72 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.72 --creating new selector for [GEO010+0.ax]
% 26.38/27.18 -running prover on /export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1 with time limit 29
% 26.38/27.18 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1']
% 26.38/27.18 -prover status Theorem
% 26.38/27.18 Problem theBenchmark.p solved in phase 0.
% 26.38/27.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.38/27.18 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.38/27.18 Solved 1 out of 1.
% 26.38/27.18 # Problem is unsatisfiable (or provable), constructing proof object
% 26.38/27.18 # SZS status Theorem
% 26.38/27.18 # SZS output start CNFRefutation.
% 26.38/27.18 fof(354, axiom,![X7]:![X4]:equal(s(bool,i(s(fun(X7,bool),empty),s(X7,X4))), s(bool,f0)),file('/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', aEMPTY)).
% 26.38/27.18 fof(362, axiom,![X2]:equal(s(num,i(s(fun(num,num),numeral),s(num,X2))), s(num,X2)),file('/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', aNUMERAL)).
% 26.38/27.18 fof(840, 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/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', aIN)).
% 26.38/27.18 fof(1561, axiom,~(p(s(bool,f0))),file('/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', aSsrboolo_notu_falseu_isu_true)).
% 26.38/27.18 fof(2053,
% axiom,![X671]:![X8]:(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),subspace),s(fun(cart(real,X671),bool),X8))))<=>((p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(num,cart(real,X671)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X671),bool),X8))))&![X4]:![X5]:((p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8))))&p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X5))),s(fun(cart(real,X671),bool),X8)))))=>p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(cart(real,X671),fun(cart(real,X671),cart(real,X671))),vectoru_add),s(cart(real,X671),X4))),s(cart(real,X671),X5)
% )))),s(fun(cart(real,X671),bool),X8))))))&![X27]:![X4]:(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8))))=>p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(real,fun(cart(real,X671),cart(real,X671))),r_),s(real,X27))),s(cart(real,X671),X4))))),s(fun(cart(real,X671),bool),X8))))))),file('/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', asubspace)).
% 26.38/27.18 fof(2262, conjecture,![X828]:![X8]:(p(s(bool,i(s(fun(fun(cart(real,X828),bool),bool),subspace),s(fun(cart(real,X828),bool),X8))))=>~(equal(s(fun(cart(real,X828),bool),X8), s(fun(cart(real,X828),bool),empty)))),file('/export/starexec/sandbox2/tmp/tmpx9B6Am/sel_theBenchmark.p_1', aSUBSPACEu_IMPu_NONEMPTY)).
% 26.38/27.18 fof(2595, negated_conjecture,~(![X828]:![X8]:(p(s(bool,i(s(fun(fun(cart(real,X828),bool),bool),subspace),s(fun(cart(real,X828),bool),X8))))=>~(equal(s(fun(cart(real,X828),bool),X8), s(fun(cart(real,X828),bool),empty))))),inference(assume_negation,[status(cth)],[2262])).
% 26.38/27.18 fof(2669, plain,~(p(s(bool,f0))),inference(fof_simplification,[status(thm)],[1561,theory(equality)])).
% 26.38/27.18 fof(4587, plain,![X8]:![X9]:equal(s(bool,i(s(fun(X8,bool),empty),s(X8,X9))), s(bool,f0)),inference(variable_rename,[status(thm)],[354])).
% 26.38/27.18 cnf(4588,plain,(s(bool,i(s(fun(X1,bool),empty),s(X1,X2)))=s(bool,f0)),inference(split_conjunct,[status(thm)],[4587])).
% 26.38/27.18 fof(4617, plain,![X3]:equal(s(num,i(s(fun(num,num),numeral),s(num,X3))), s(num,X3)),inference(variable_rename,[status(thm)],[362])).
% 26.38/27.18 cnf(4618,plain,(s(num,i(s(fun(num,num),numeral),s(num,X1)))=s(num,X1)),inference(split_conjunct,[status(thm)],[4617])).
% 26.38/27.18 fof(7080, 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)],[840])).
% 26.38/27.18 cnf(7081,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)],[7080])).
% 26.38/27.18 cnf(10761,plain,(~p(s(bool,f0))),inference(split_conjunct,[status(thm)],[2669])).
% 26.38/27.18 fof(13607,
% plain,![X671]:![X8]:((~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),subspace),s(fun(cart(real,X671),bool),X8)))))|((p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(num,cart(real,X671)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X671),bool),X8))))&![X4]:![X5]:((~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8)))))|~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X5))),s(fun(cart(real,X671),bool),X8))))))|p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(cart(real,X671),fun(cart(real,X671),cart(real,X671))),vectoru_add),s(cart(real,X671),X4))),s(cart(real,X6
% 71),X5))))),s(fun(cart(real,X671),bool),X8))))))&![X27]:![X4]:(~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8)))))|p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(real,fun(cart(real,X671),cart(real,X671))),r_),s(real,X27))),s(cart(real,X671),X4))))),s(fun(cart(real,X671),bool),X8)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(num,cart(real,X671)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X671),bool),X8)))))|?[X4]:?[X5]:((p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8))))&p(s(bool,i(s(fun(fun(cart(real,X671)
% ,bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X5))),s(fun(cart(real,X671),bool),X8)))))&~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(cart(real,X671),fun(cart(real,X671),cart(real,X671))),vectoru_add),s(cart(real,X671),X4))),s(cart(real,X671),X5))))),s(fun(cart(real,X671),bool),X8)))))))|?[X27]:?[X4]:(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),X4))),s(fun(cart(real,X671),bool),X8))))&~(p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),i(s(fun(cart(real,X671),fun(fun(cart(real,X671),bool),bool)),in),s(cart(real,X671),i(s(fun(cart(real,X671),cart(real,X671)),i(s(fun(real,fun(cart(real,X671),cart(real,X671))),r_),s(real,X27))),s(cart(real,X671),X4))))),s(fun(cart(real,X671),bool),X8)))))))|p(s(bool,i(s(fun(fun(cart(real,X671),bool),bool),subs
% pace),s(fun(cart(real,X671),bool),X8)))))),inference(fof_nnf,[status(thm)],[2053])).
% 26.38/27.18 fof(13608,
% plain,![X672]:![X673]:((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))|((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673))))&![X674]:![X675]:((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X674))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X675))),s(fun(cart(real,X672),bool),X673))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),X6
% 74))),s(cart(real,X672),X675))))),s(fun(cart(real,X672),bool),X673))))))&![X676]:![X677]:(~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X677))),s(fun(cart(real,X672),bool),X673)))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,X676))),s(cart(real,X672),X677))))),s(fun(cart(real,X672),bool),X673)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))|?[X678]:?[X679]:((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X678))),s(fun(cart(real,X672),bool)
% ,X673))))&p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X679))),s(fun(cart(real,X672),bool),X673)))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),X678))),s(cart(real,X672),X679))))),s(fun(cart(real,X672),bool),X673)))))))|?[X680]:?[X681]:(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X681))),s(fun(cart(real,X672),bool),X673))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,X680))),s(cart(real,X672),X681))))),s(fun(cart(real,X672),boo
% l),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))),inference(variable_rename,[status(thm)],[13607])).
% 26.38/27.18 fof(13609,
% plain,![X672]:![X673]:((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))|((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673))))&![X674]:![X675]:((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X674))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X675))),s(fun(cart(real,X672),bool),X673))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),X6
% 74))),s(cart(real,X672),X675))))),s(fun(cart(real,X672),bool),X673))))))&![X676]:![X677]:(~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X677))),s(fun(cart(real,X672),bool),X673)))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,X676))),s(cart(real,X672),X677))))),s(fun(cart(real,X672),bool),X673)))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))|((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2128_2(X672,X673)))),s(fun(cart(real,X672),bool)
% ,X673))))&p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2129_2(X672,X673)))),s(fun(cart(real,X672),bool),X673)))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),esk2128_2(X672,X673)))),s(cart(real,X672),esk2129_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2131_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,esk2130_2(X67
% 2,X673)))),s(cart(real,X672),esk2131_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))),inference(skolemize,[status(esa)],[13608])).
% 26.38/27.18 fof(13610,
% plain,![X672]:![X673]:![X674]:![X675]:![X676]:![X677]:((((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X677))),s(fun(cart(real,X672),bool),X673)))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,X676))),s(cart(real,X672),X677))))),s(fun(cart(real,X672),bool),X673)))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X674))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X675))),s(fun(cart(real,X672),bool),X673))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in)
% ,s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),X674))),s(cart(real,X672),X675))))),s(fun(cart(real,X672),bool),X673)))))&p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673))))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673))))))&(((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))|((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2128_2(X672,X673)))),s(fun(cart(real,X672),bool)
% ,X673))))&p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2129_2(X672,X673)))),s(fun(cart(real,X672),bool),X673)))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),esk2128_2(X672,X673)))),s(cart(real,X672),esk2129_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2131_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))&~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,esk2130_2(X67
% 2,X673)))),s(cart(real,X672),esk2131_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))),inference(shift_quantors,[status(thm)],[13609])).
% 26.38/27.18 fof(13611,
% plain,![X672]:![X673]:![X674]:![X675]:![X676]:![X677]:((((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X677))),s(fun(cart(real,X672),bool),X673)))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,X676))),s(cart(real,X672),X677))))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673))))))&((((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X674))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),X675))),s(fun(cart(real,X672),bool),X673))))))|p(s(bool,i(s
% (fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),X674))),s(cart(real,X672),X675))))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673))))))&(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673))))))))&(((((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2131_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool)
% ,bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2128_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,esk2130_2(X672,X673)))),s(cart(real,X672),esk2131_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2128_2(X672,X673)))),s(fun(cart(real,X
% 672),bool),X673))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673))))))&(((p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2131_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2129_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(
% s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,esk2130_2(X672,X673)))),s(cart(real,X672),esk2131_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))|(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2129_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))))&(((p(s(bool,i(s(fun(fun(cart(real,
% X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),esk2131_2(X672,X673)))),s(fun(cart(real,X672),bool),X673))))|(~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),esk2128_2(X672,X673)))),s(cart(real,X672),esk2129_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))&((~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X67
% 2),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(real,fun(cart(real,X672),cart(real,X672))),r_),s(real,esk2130_2(X672,X673)))),s(cart(real,X672),esk2131_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))|(~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(cart(real,X672),cart(real,X672)),i(s(fun(cart(real,X672),fun(cart(real,X672),cart(real,X672))),vectoru_add),s(cart(real,X672),esk2128_2(X672,X673)))),s(cart(real,X672),esk2129_2(X672,X673)))))),s(fun(cart(real,X672),bool),X673)))))|~(p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),i(s(fun(cart(real,X672),fun(fun(cart(real,X672),bool),bool)),in),s(cart(real,X672),i(s(fun(num,cart(real,X672)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X672),bool),X673)))))))|p(s(bool,i(s(fun(fun(cart(real,X672),bool),bool),subspace),s(fun(cart(real,X672),bool),X673)))))))),inference(distribute,[status(thm)],[13610])).
% 26.38/27.18 cnf(13618,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)],[13611])).
% 26.38/27.19 fof(14386, negated_conjecture,?[X828]:?[X8]:(p(s(bool,i(s(fun(fun(cart(real,X828),bool),bool),subspace),s(fun(cart(real,X828),bool),X8))))&equal(s(fun(cart(real,X828),bool),X8), s(fun(cart(real,X828),bool),empty))),inference(fof_nnf,[status(thm)],[2595])).
% 26.38/27.19 fof(14387, negated_conjecture,?[X829]:?[X830]:(p(s(bool,i(s(fun(fun(cart(real,X829),bool),bool),subspace),s(fun(cart(real,X829),bool),X830))))&equal(s(fun(cart(real,X829),bool),X830), s(fun(cart(real,X829),bool),empty))),inference(variable_rename,[status(thm)],[14386])).
% 26.38/27.19 fof(14388, negated_conjecture,(p(s(bool,i(s(fun(fun(cart(real,esk2320_0),bool),bool),subspace),s(fun(cart(real,esk2320_0),bool),esk2321_0))))&equal(s(fun(cart(real,esk2320_0),bool),esk2321_0), s(fun(cart(real,esk2320_0),bool),empty))),inference(skolemize,[status(esa)],[14387])).
% 26.38/27.19 cnf(14389,negated_conjecture,(s(fun(cart(real,esk2320_0),bool),esk2321_0)=s(fun(cart(real,esk2320_0),bool),empty)),inference(split_conjunct,[status(thm)],[14388])).
% 26.38/27.19 cnf(14390,negated_conjecture,(p(s(bool,i(s(fun(fun(cart(real,esk2320_0),bool),bool),subspace),s(fun(cart(real,esk2320_0),bool),esk2321_0))))),inference(split_conjunct,[status(thm)],[14388])).
% 26.38/27.19 cnf(16254,negated_conjecture,(p(s(bool,i(s(fun(fun(cart(real,esk2320_0),bool),bool),subspace),s(fun(cart(real,esk2320_0),bool),empty))))),inference(rw,[status(thm)],[14390,14389,theory(equality)])).
% 26.38/27.19 cnf(531965,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)],[13618,4618,theory(equality)]),7081,theory(equality)])).
% 26.38/27.19 cnf(531968,negated_conjecture,(p(s(bool,i(s(fun(cart(real,esk2320_0),bool),empty),s(cart(real,esk2320_0),i(s(fun(num,cart(real,esk2320_0)),vec),s(num,u_0))))))|~p(s(bool,i(s(fun(fun(cart(real,esk2320_0),bool),bool),subspace),s(fun(cart(real,esk2320_0),bool),empty))))),inference(spm,[status(thm)],[531965,14389,theory(equality)])).
% 26.38/27.19 cnf(532157,negated_conjecture,(p(s(bool,f0))|~p(s(bool,i(s(fun(fun(cart(real,esk2320_0),bool),bool),subspace),s(fun(cart(real,esk2320_0),bool),empty))))),inference(rw,[status(thm)],[531968,4588,theory(equality)])).
% 26.38/27.19 cnf(532158,negated_conjecture,(p(s(bool,f0))|$false),inference(rw,[status(thm)],[532157,16254,theory(equality)])).
% 26.38/27.19 cnf(532159,negated_conjecture,(p(s(bool,f0))),inference(cn,[status(thm)],[532158,theory(equality)])).
% 26.38/27.19 cnf(532160,negated_conjecture,($false),inference(sr,[status(thm)],[532159,10761,theory(equality)])).
% 26.38/27.19 cnf(532161,negated_conjecture,($false),532160,['proof']).
% 26.38/27.19 # SZS output end CNFRefutation
%------------------------------------------------------------------------------