%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET644+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 23:21:02 EST 2010
% Result : Theorem 1.13s
% Output : Solution 1.13s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP4245/SET644+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4245/SET644+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4245/SET644+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 4341
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p27)).
% fof(5, axiom,![X1]:(ilf_type(X1,set_type)=>(relation_like(X1)<=>![X2]:(ilf_type(X2,set_type)=>(member(X2,X1)=>?[X3]:(ilf_type(X3,set_type)&?[X4]:(ilf_type(X4,set_type)&X2=ordered_pair(X3,X4))))))),file('/tmp/SRASS.s.p', p23)).
% fof(7, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,set_type)=>(member(ordered_pair(X1,X2),cross_product(X3,X4))<=>(member(X1,X3)&member(X2,X4))))))),file('/tmp/SRASS.s.p', p2)).
% fof(19, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(member(X1,power_set(X2))<=>![X3]:(ilf_type(X3,set_type)=>(member(X3,X1)=>member(X3,X2)))))),file('/tmp/SRASS.s.p', p19)).
% fof(20, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(![X3]:(ilf_type(X3,subset_type(cross_product(X1,X2)))=>ilf_type(X3,relation_type(X1,X2)))&![X4]:(ilf_type(X4,relation_type(X1,X2))=>ilf_type(X4,subset_type(cross_product(X1,X2))))))),file('/tmp/SRASS.s.p', p5)).
% fof(21, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,subset_type(cross_product(X1,X2)))=>relation_like(X3)))),file('/tmp/SRASS.s.p', p24)).
% fof(22, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>(ilf_type(X1,member_type(X2))<=>member(X1,X2)))),file('/tmp/SRASS.s.p', p21)).
% fof(25, axiom,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),file('/tmp/SRASS.s.p', p20)).
% fof(27, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(ilf_type(X2,subset_type(X1))<=>ilf_type(X2,member_type(power_set(X1)))))),file('/tmp/SRASS.s.p', p14)).
% fof(28, conjecture,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,relation_type(X1,X2))=>(member(X3,X4)=>?[X5]:(ilf_type(X5,set_type)&?[X6]:(((ilf_type(X6,set_type)&X3=ordered_pair(X5,X6))&member(X5,X1))&member(X6,X2)))))))),file('/tmp/SRASS.s.p', prove_relset_1_6)).
% fof(29, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,relation_type(X1,X2))=>(member(X3,X4)=>?[X5]:(ilf_type(X5,set_type)&?[X6]:(((ilf_type(X6,set_type)&X3=ordered_pair(X5,X6))&member(X5,X1))&member(X6,X2))))))))),inference(assume_negation,[status(cth)],[28])).
% fof(31, plain,![X1]:(ilf_type(X1,set_type)=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>(ilf_type(X1,member_type(X2))<=>member(X1,X2)))),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% fof(32, plain,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% fof(53, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[4])).
% cnf(54,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:(~(ilf_type(X1,set_type))|((~(relation_like(X1))|![X2]:(~(ilf_type(X2,set_type))|(~(member(X2,X1))|?[X3]:(ilf_type(X3,set_type)&?[X4]:(ilf_type(X4,set_type)&X2=ordered_pair(X3,X4))))))&(?[X2]:(ilf_type(X2,set_type)&(member(X2,X1)&![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|~(X2=ordered_pair(X3,X4))))))|relation_like(X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(56, plain,![X5]:(~(ilf_type(X5,set_type))|((~(relation_like(X5))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X5))|?[X7]:(ilf_type(X7,set_type)&?[X8]:(ilf_type(X8,set_type)&X6=ordered_pair(X7,X8))))))&(?[X9]:(ilf_type(X9,set_type)&(member(X9,X5)&![X10]:(~(ilf_type(X10,set_type))|![X11]:(~(ilf_type(X11,set_type))|~(X9=ordered_pair(X10,X11))))))|relation_like(X5)))),inference(variable_rename,[status(thm)],[55])).
% fof(57, plain,![X5]:(~(ilf_type(X5,set_type))|((~(relation_like(X5))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X5))|(ilf_type(esk3_2(X5,X6),set_type)&(ilf_type(esk4_2(X5,X6),set_type)&X6=ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6)))))))&((ilf_type(esk5_1(X5),set_type)&(member(esk5_1(X5),X5)&![X10]:(~(ilf_type(X10,set_type))|![X11]:(~(ilf_type(X11,set_type))|~(esk5_1(X5)=ordered_pair(X10,X11))))))|relation_like(X5)))),inference(skolemize,[status(esa)],[56])).
% fof(58, plain,![X5]:![X6]:![X10]:![X11]:(((((((~(ilf_type(X11,set_type))|~(esk5_1(X5)=ordered_pair(X10,X11)))|~(ilf_type(X10,set_type)))&member(esk5_1(X5),X5))&ilf_type(esk5_1(X5),set_type))|relation_like(X5))&((~(ilf_type(X6,set_type))|(~(member(X6,X5))|(ilf_type(esk3_2(X5,X6),set_type)&(ilf_type(esk4_2(X5,X6),set_type)&X6=ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6))))))|~(relation_like(X5))))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[57])).
% fof(59, plain,![X5]:![X6]:![X10]:![X11]:(((((((~(ilf_type(X11,set_type))|~(esk5_1(X5)=ordered_pair(X10,X11)))|~(ilf_type(X10,set_type)))|relation_like(X5))|~(ilf_type(X5,set_type)))&((member(esk5_1(X5),X5)|relation_like(X5))|~(ilf_type(X5,set_type))))&((ilf_type(esk5_1(X5),set_type)|relation_like(X5))|~(ilf_type(X5,set_type))))&(((((ilf_type(esk3_2(X5,X6),set_type)|~(member(X6,X5)))|~(ilf_type(X6,set_type)))|~(relation_like(X5)))|~(ilf_type(X5,set_type)))&(((((ilf_type(esk4_2(X5,X6),set_type)|~(member(X6,X5)))|~(ilf_type(X6,set_type)))|~(relation_like(X5)))|~(ilf_type(X5,set_type)))&((((X6=ordered_pair(esk3_2(X5,X6),esk4_2(X5,X6))|~(member(X6,X5)))|~(ilf_type(X6,set_type)))|~(relation_like(X5)))|~(ilf_type(X5,set_type)))))),inference(distribute,[status(thm)],[58])).
% cnf(60,plain,(X2=ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))|~ilf_type(X1,set_type)|~relation_like(X1)|~ilf_type(X2,set_type)|~member(X2,X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(74, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|((~(member(ordered_pair(X1,X2),cross_product(X3,X4)))|(member(X1,X3)&member(X2,X4)))&((~(member(X1,X3))|~(member(X2,X4)))|member(ordered_pair(X1,X2),cross_product(X3,X4)))))))),inference(fof_nnf,[status(thm)],[7])).
% fof(75, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|((~(member(ordered_pair(X5,X6),cross_product(X7,X8)))|(member(X5,X7)&member(X6,X8)))&((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))))))),inference(variable_rename,[status(thm)],[74])).
% fof(76, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,set_type))|((~(member(ordered_pair(X5,X6),cross_product(X7,X8)))|(member(X5,X7)&member(X6,X8)))&((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[75])).
% fof(77, plain,![X5]:![X6]:![X7]:![X8]:(((((((member(X5,X7)|~(member(ordered_pair(X5,X6),cross_product(X7,X8))))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&(((((member(X6,X8)|~(member(ordered_pair(X5,X6),cross_product(X7,X8))))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))))&((((((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))),inference(distribute,[status(thm)],[76])).
% cnf(79,plain,(member(X2,X4)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(split_conjunct,[status(thm)],[77])).
% cnf(80,plain,(member(X1,X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(split_conjunct,[status(thm)],[77])).
% fof(136, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(member(X1,power_set(X2)))|![X3]:(~(ilf_type(X3,set_type))|(~(member(X3,X1))|member(X3,X2))))&(?[X3]:(ilf_type(X3,set_type)&(member(X3,X1)&~(member(X3,X2))))|member(X1,power_set(X2)))))),inference(fof_nnf,[status(thm)],[19])).
% fof(137, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X4,power_set(X5)))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5))))&(?[X7]:(ilf_type(X7,set_type)&(member(X7,X4)&~(member(X7,X5))))|member(X4,power_set(X5)))))),inference(variable_rename,[status(thm)],[136])).
% fof(138, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X4,power_set(X5)))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5))))&((ilf_type(esk12_2(X4,X5),set_type)&(member(esk12_2(X4,X5),X4)&~(member(esk12_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[137])).
% fof(139, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk12_2(X4,X5),set_type)&(member(esk12_2(X4,X5),X4)&~(member(esk12_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[138])).
% fof(140, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((ilf_type(esk12_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk12_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk12_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[139])).
% cnf(144,plain,(member(X3,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(X1,power_set(X2))|~member(X3,X1)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[140])).
% fof(145, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|(![X3]:(~(ilf_type(X3,subset_type(cross_product(X1,X2))))|ilf_type(X3,relation_type(X1,X2)))&![X4]:(~(ilf_type(X4,relation_type(X1,X2)))|ilf_type(X4,subset_type(cross_product(X1,X2))))))),inference(fof_nnf,[status(thm)],[20])).
% fof(146, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|(![X7]:(~(ilf_type(X7,subset_type(cross_product(X5,X6))))|ilf_type(X7,relation_type(X5,X6)))&![X8]:(~(ilf_type(X8,relation_type(X5,X6)))|ilf_type(X8,subset_type(cross_product(X5,X6))))))),inference(variable_rename,[status(thm)],[145])).
% fof(147, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,relation_type(X5,X6)))|ilf_type(X8,subset_type(cross_product(X5,X6))))&(~(ilf_type(X7,subset_type(cross_product(X5,X6))))|ilf_type(X7,relation_type(X5,X6))))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[146])).
% fof(148, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,relation_type(X5,X6)))|ilf_type(X8,subset_type(cross_product(X5,X6))))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&(((~(ilf_type(X7,subset_type(cross_product(X5,X6))))|ilf_type(X7,relation_type(X5,X6)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))),inference(distribute,[status(thm)],[147])).
% cnf(150,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(split_conjunct,[status(thm)],[148])).
% fof(151, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,subset_type(cross_product(X1,X2))))|relation_like(X3)))),inference(fof_nnf,[status(thm)],[21])).
% fof(152, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,subset_type(cross_product(X4,X5))))|relation_like(X6)))),inference(variable_rename,[status(thm)],[151])).
% fof(153, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,subset_type(cross_product(X4,X5))))|relation_like(X6))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[152])).
% cnf(154,plain,(relation_like(X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(split_conjunct,[status(thm)],[153])).
% fof(155, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:((empty(X2)|~(ilf_type(X2,set_type)))|((~(ilf_type(X1,member_type(X2)))|member(X1,X2))&(~(member(X1,X2))|ilf_type(X1,member_type(X2)))))),inference(fof_nnf,[status(thm)],[31])).
% fof(156, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:((empty(X4)|~(ilf_type(X4,set_type)))|((~(ilf_type(X3,member_type(X4)))|member(X3,X4))&(~(member(X3,X4))|ilf_type(X3,member_type(X4)))))),inference(variable_rename,[status(thm)],[155])).
% fof(157, plain,![X3]:![X4]:(((empty(X4)|~(ilf_type(X4,set_type)))|((~(ilf_type(X3,member_type(X4)))|member(X3,X4))&(~(member(X3,X4))|ilf_type(X3,member_type(X4)))))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[156])).
% fof(158, plain,![X3]:![X4]:((((~(ilf_type(X3,member_type(X4)))|member(X3,X4))|(empty(X4)|~(ilf_type(X4,set_type))))|~(ilf_type(X3,set_type)))&(((~(member(X3,X4))|ilf_type(X3,member_type(X4)))|(empty(X4)|~(ilf_type(X4,set_type))))|~(ilf_type(X3,set_type)))),inference(distribute,[status(thm)],[157])).
% cnf(160,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,member_type(X2))),inference(split_conjunct,[status(thm)],[158])).
% fof(170, plain,![X1]:(~(ilf_type(X1,set_type))|(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_nnf,[status(thm)],[32])).
% fof(171, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[170])).
% fof(172, plain,![X2]:((~(empty(power_set(X2)))|~(ilf_type(X2,set_type)))&(ilf_type(power_set(X2),set_type)|~(ilf_type(X2,set_type)))),inference(distribute,[status(thm)],[171])).
% cnf(174,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[172])).
% fof(179, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(ilf_type(X2,subset_type(X1)))|ilf_type(X2,member_type(power_set(X1))))&(~(ilf_type(X2,member_type(power_set(X1))))|ilf_type(X2,subset_type(X1)))))),inference(fof_nnf,[status(thm)],[27])).
% fof(180, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|((~(ilf_type(X4,subset_type(X3)))|ilf_type(X4,member_type(power_set(X3))))&(~(ilf_type(X4,member_type(power_set(X3))))|ilf_type(X4,subset_type(X3)))))),inference(variable_rename,[status(thm)],[179])).
% fof(181, plain,![X3]:![X4]:((~(ilf_type(X4,set_type))|((~(ilf_type(X4,subset_type(X3)))|ilf_type(X4,member_type(power_set(X3))))&(~(ilf_type(X4,member_type(power_set(X3))))|ilf_type(X4,subset_type(X3)))))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[180])).
% fof(182, plain,![X3]:![X4]:((((~(ilf_type(X4,subset_type(X3)))|ilf_type(X4,member_type(power_set(X3))))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))&(((~(ilf_type(X4,member_type(power_set(X3))))|ilf_type(X4,subset_type(X3)))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))),inference(distribute,[status(thm)],[181])).
% cnf(184,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X2,subset_type(X1))),inference(split_conjunct,[status(thm)],[182])).
% fof(185, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&?[X2]:(ilf_type(X2,set_type)&?[X3]:(ilf_type(X3,set_type)&?[X4]:(ilf_type(X4,relation_type(X1,X2))&(member(X3,X4)&![X5]:(~(ilf_type(X5,set_type))|![X6]:(((~(ilf_type(X6,set_type))|~(X3=ordered_pair(X5,X6)))|~(member(X5,X1)))|~(member(X6,X2))))))))),inference(fof_nnf,[status(thm)],[29])).
% fof(186, negated_conjecture,?[X7]:(ilf_type(X7,set_type)&?[X8]:(ilf_type(X8,set_type)&?[X9]:(ilf_type(X9,set_type)&?[X10]:(ilf_type(X10,relation_type(X7,X8))&(member(X9,X10)&![X11]:(~(ilf_type(X11,set_type))|![X12]:(((~(ilf_type(X12,set_type))|~(X9=ordered_pair(X11,X12)))|~(member(X11,X7)))|~(member(X12,X8))))))))),inference(variable_rename,[status(thm)],[185])).
% fof(187, negated_conjecture,(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,set_type)&(ilf_type(esk16_0,set_type)&(ilf_type(esk17_0,relation_type(esk14_0,esk15_0))&(member(esk16_0,esk17_0)&![X11]:(~(ilf_type(X11,set_type))|![X12]:(((~(ilf_type(X12,set_type))|~(esk16_0=ordered_pair(X11,X12)))|~(member(X11,esk14_0)))|~(member(X12,esk15_0))))))))),inference(skolemize,[status(esa)],[186])).
% fof(188, negated_conjecture,![X11]:![X12]:(((((((((~(ilf_type(X12,set_type))|~(esk16_0=ordered_pair(X11,X12)))|~(member(X11,esk14_0)))|~(member(X12,esk15_0)))|~(ilf_type(X11,set_type)))&member(esk16_0,esk17_0))&ilf_type(esk17_0,relation_type(esk14_0,esk15_0)))&ilf_type(esk16_0,set_type))&ilf_type(esk15_0,set_type))&ilf_type(esk14_0,set_type)),inference(shift_quantors,[status(thm)],[187])).
% cnf(192,negated_conjecture,(ilf_type(esk17_0,relation_type(esk14_0,esk15_0))),inference(split_conjunct,[status(thm)],[188])).
% cnf(193,negated_conjecture,(member(esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[188])).
% cnf(194,negated_conjecture,(~ilf_type(X1,set_type)|~member(X2,esk15_0)|~member(X1,esk14_0)|esk16_0!=ordered_pair(X1,X2)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[188])).
% cnf(208,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[174,54,theory(equality)])).
% cnf(209,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(263,negated_conjecture,(ordered_pair(X1,X2)!=esk16_0|$false|~ilf_type(X1,set_type)|~member(X2,esk15_0)|~member(X1,esk14_0)),inference(rw,[status(thm)],[194,54,theory(equality)])).
% cnf(264,negated_conjecture,(ordered_pair(X1,X2)!=esk16_0|$false|$false|~member(X2,esk15_0)|~member(X1,esk14_0)),inference(rw,[status(thm)],[263,54,theory(equality)])).
% cnf(265,negated_conjecture,(ordered_pair(X1,X2)!=esk16_0|~member(X2,esk15_0)|~member(X1,esk14_0)),inference(cn,[status(thm)],[264,theory(equality)])).
% cnf(295,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[154,54,theory(equality)])).
% cnf(296,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[295,54,theory(equality)])).
% cnf(297,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[296,theory(equality)])).
% cnf(302,plain,(empty(X2)|member(X1,X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[160,54,theory(equality)])).
% cnf(303,plain,(empty(X2)|member(X1,X2)|$false|$false|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[302,54,theory(equality)])).
% cnf(304,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,member_type(X2))),inference(cn,[status(thm)],[303,theory(equality)])).
% cnf(309,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[184,54,theory(equality)])).
% cnf(310,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|$false|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[309,54,theory(equality)])).
% cnf(311,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X2,subset_type(X1))),inference(cn,[status(thm)],[310,theory(equality)])).
% cnf(323,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[150,54,theory(equality)])).
% cnf(324,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[323,54,theory(equality)])).
% cnf(325,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[324,theory(equality)])).
% cnf(333,plain,(member(X3,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[144,54,theory(equality)])).
% cnf(334,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[333,54,theory(equality)])).
% cnf(335,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|$false|~member(X1,power_set(X2))),inference(rw,[status(thm)],[334,54,theory(equality)])).
% cnf(336,plain,(member(X3,X2)|~member(X3,X1)|~member(X1,power_set(X2))),inference(cn,[status(thm)],[335,theory(equality)])).
% cnf(337,plain,(member(X2,X4)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[79,54,theory(equality)])).
% cnf(338,plain,(member(X2,X4)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[337,54,theory(equality)])).
% cnf(339,plain,(member(X2,X4)|$false|$false|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[338,54,theory(equality)])).
% cnf(340,plain,(member(X2,X4)|$false|$false|$false|$false|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[339,54,theory(equality)])).
% cnf(341,plain,(member(X2,X4)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(cn,[status(thm)],[340,theory(equality)])).
% cnf(350,plain,(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))=X2|~relation_like(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[60,54,theory(equality)])).
% cnf(351,plain,(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))=X2|~relation_like(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[350,54,theory(equality)])).
% cnf(352,plain,(ordered_pair(esk3_2(X1,X2),esk4_2(X1,X2))=X2|~relation_like(X1)|~member(X2,X1)),inference(cn,[status(thm)],[351,theory(equality)])).
% cnf(353,plain,(member(X1,X3)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[80,54,theory(equality)])).
% cnf(354,plain,(member(X1,X3)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[353,54,theory(equality)])).
% cnf(355,plain,(member(X1,X3)|$false|$false|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[354,54,theory(equality)])).
% cnf(356,plain,(member(X1,X3)|$false|$false|$false|$false|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(rw,[status(thm)],[355,54,theory(equality)])).
% cnf(357,plain,(member(X1,X3)|~member(ordered_pair(X1,X2),cross_product(X3,X4))),inference(cn,[status(thm)],[356,theory(equality)])).
% cnf(400,negated_conjecture,(ilf_type(esk17_0,subset_type(cross_product(esk14_0,esk15_0)))),inference(spm,[status(thm)],[325,192,theory(equality)])).
% cnf(426,negated_conjecture,(ordered_pair(esk3_2(esk17_0,esk16_0),esk4_2(esk17_0,esk16_0))=esk16_0|~relation_like(esk17_0)),inference(spm,[status(thm)],[352,193,theory(equality)])).
% cnf(442,negated_conjecture,(ilf_type(esk17_0,member_type(power_set(cross_product(esk14_0,esk15_0))))),inference(spm,[status(thm)],[311,400,theory(equality)])).
% cnf(443,negated_conjecture,(relation_like(esk17_0)),inference(spm,[status(thm)],[297,400,theory(equality)])).
% cnf(478,negated_conjecture,(empty(power_set(cross_product(esk14_0,esk15_0)))|member(esk17_0,power_set(cross_product(esk14_0,esk15_0)))),inference(spm,[status(thm)],[304,442,theory(equality)])).
% cnf(480,negated_conjecture,(member(esk17_0,power_set(cross_product(esk14_0,esk15_0)))),inference(sr,[status(thm)],[478,209,theory(equality)])).
% cnf(486,negated_conjecture,(member(X1,cross_product(esk14_0,esk15_0))|~member(X1,esk17_0)),inference(spm,[status(thm)],[336,480,theory(equality)])).
% cnf(488,negated_conjecture,(member(esk16_0,cross_product(esk14_0,esk15_0))),inference(spm,[status(thm)],[486,193,theory(equality)])).
% cnf(2122,negated_conjecture,(ordered_pair(esk3_2(esk17_0,esk16_0),esk4_2(esk17_0,esk16_0))=esk16_0|$false),inference(rw,[status(thm)],[426,443,theory(equality)])).
% cnf(2123,negated_conjecture,(ordered_pair(esk3_2(esk17_0,esk16_0),esk4_2(esk17_0,esk16_0))=esk16_0),inference(cn,[status(thm)],[2122,theory(equality)])).
% cnf(2124,negated_conjecture,(~member(esk4_2(esk17_0,esk16_0),esk15_0)|~member(esk3_2(esk17_0,esk16_0),esk14_0)),inference(spm,[status(thm)],[265,2123,theory(equality)])).
% cnf(2126,negated_conjecture,(member(esk4_2(esk17_0,esk16_0),X1)|~member(esk16_0,cross_product(X2,X1))),inference(spm,[status(thm)],[341,2123,theory(equality)])).
% cnf(2127,negated_conjecture,(member(esk3_2(esk17_0,esk16_0),X1)|~member(esk16_0,cross_product(X1,X2))),inference(spm,[status(thm)],[357,2123,theory(equality)])).
% cnf(4071,negated_conjecture,(member(esk4_2(esk17_0,esk16_0),esk15_0)),inference(spm,[status(thm)],[2126,488,theory(equality)])).
% cnf(4087,negated_conjecture,($false|~member(esk3_2(esk17_0,esk16_0),esk14_0)),inference(rw,[status(thm)],[2124,4071,theory(equality)])).
% cnf(4088,negated_conjecture,(~member(esk3_2(esk17_0,esk16_0),esk14_0)),inference(cn,[status(thm)],[4087,theory(equality)])).
% cnf(4757,negated_conjecture,(member(esk3_2(esk17_0,esk16_0),esk14_0)),inference(spm,[status(thm)],[2127,488,theory(equality)])).
% cnf(4758,negated_conjecture,($false),inference(sr,[status(thm)],[4757,4088,theory(equality)])).
% cnf(4759,negated_conjecture,($false),4758,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 457
% # ...of these trivial : 14
% # ...subsumed : 112
% # ...remaining for further processing: 331
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 6
% # Generated clauses : 4037
% # ...of the previous two non-trivial : 3823
% # Contextual simplify-reflections : 17
% # Paramodulations : 4027
% # Factorizations : 6
% # Equation resolutions : 4
% # Current number of processed clauses: 282
% # Positive orientable unit clauses: 119
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 15
% # Non-unit-clauses : 147
% # Current number of unprocessed clauses: 3459
% # ...number of literals in the above : 10588
% # Clause-clause subsumption calls (NU) : 1064
% # Rec. Clause-clause subsumption calls : 919
% # Unit Clause-clause subsumption calls : 142
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 120
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 423 leaves, 1.23+/-0.891 terms/leaf
% # Paramod-from index: 167 leaves, 1.19+/-0.889 terms/leaf
% # Paramod-into index: 368 leaves, 1.23+/-0.836 terms/leaf
% # -------------------------------------------------
% # User time : 0.131 s
% # System time : 0.009 s
% # Total time : 0.140 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.30 CPU 0.39 WC
% FINAL PrfWatch: 0.30 CPU 0.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP4245/SET644+3.tptp
%
%------------------------------------------------------------------------------