%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET646+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 : art06.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 23:21:15 EST 2010
% Result : Theorem 1.12s
% Output : Solution 1.12s
% 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/SystemOnTPTP32561/SET646+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32561/SET646+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32561/SET646+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 32657
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.018 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)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>(X3=singleton(X2)<=>![X4]:(ilf_type(X4,set_type)=>(member(X4,X3)<=>X4=X2)))))),file('/tmp/SRASS.s.p', p5)).
% fof(5, 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(17, 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', p17)).
% fof(18, 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', p3)).
% fof(20, 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', p19)).
% fof(22, axiom,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),file('/tmp/SRASS.s.p', p18)).
% fof(24, 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', p12)).
% fof(25, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p25)).
% fof(26, conjecture,![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(X3,X1)&member(X4,X2))=>ilf_type(singleton(ordered_pair(X3,X4)),relation_type(X1,X2))))))),file('/tmp/SRASS.s.p', prove_relset_1_8)).
% fof(27, negated_conjecture,~(![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(X3,X1)&member(X4,X2))=>ilf_type(singleton(ordered_pair(X3,X4)),relation_type(X1,X2)))))))),inference(assume_negation,[status(cth)],[26])).
% fof(29, 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)],[20,theory(equality)])).
% fof(30, plain,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% fof(44, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|((~(X3=singleton(X2))|![X4]:(~(ilf_type(X4,set_type))|((~(member(X4,X3))|X4=X2)&(~(X4=X2)|member(X4,X3)))))&(?[X4]:(ilf_type(X4,set_type)&((~(member(X4,X3))|~(X4=X2))&(member(X4,X3)|X4=X2)))|X3=singleton(X2)))))),inference(fof_nnf,[status(thm)],[4])).
% fof(45, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|((~(X7=singleton(X6))|![X8]:(~(ilf_type(X8,set_type))|((~(member(X8,X7))|X8=X6)&(~(X8=X6)|member(X8,X7)))))&(?[X9]:(ilf_type(X9,set_type)&((~(member(X9,X7))|~(X9=X6))&(member(X9,X7)|X9=X6)))|X7=singleton(X6)))))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|((~(X7=singleton(X6))|![X8]:(~(ilf_type(X8,set_type))|((~(member(X8,X7))|X8=X6)&(~(X8=X6)|member(X8,X7)))))&((ilf_type(esk2_3(X5,X6,X7),set_type)&((~(member(esk2_3(X5,X6,X7),X7))|~(esk2_3(X5,X6,X7)=X6))&(member(esk2_3(X5,X6,X7),X7)|esk2_3(X5,X6,X7)=X6)))|X7=singleton(X6)))))),inference(skolemize,[status(esa)],[45])).
% fof(47, plain,![X5]:![X6]:![X7]:![X8]:((((((~(ilf_type(X8,set_type))|((~(member(X8,X7))|X8=X6)&(~(X8=X6)|member(X8,X7))))|~(X7=singleton(X6)))&((ilf_type(esk2_3(X5,X6,X7),set_type)&((~(member(esk2_3(X5,X6,X7),X7))|~(esk2_3(X5,X6,X7)=X6))&(member(esk2_3(X5,X6,X7),X7)|esk2_3(X5,X6,X7)=X6)))|X7=singleton(X6)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X5]:![X6]:![X7]:![X8]:((((((((~(member(X8,X7))|X8=X6)|~(ilf_type(X8,set_type)))|~(X7=singleton(X6)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&((((((~(X8=X6)|member(X8,X7))|~(ilf_type(X8,set_type)))|~(X7=singleton(X6)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))))&(((((ilf_type(esk2_3(X5,X6,X7),set_type)|X7=singleton(X6))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&((((((~(member(esk2_3(X5,X6,X7),X7))|~(esk2_3(X5,X6,X7)=X6))|X7=singleton(X6))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&(((((member(esk2_3(X5,X6,X7),X7)|esk2_3(X5,X6,X7)=X6)|X7=singleton(X6))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))))),inference(distribute,[status(thm)],[47])).
% cnf(53,plain,(X4=X2|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|X3!=singleton(X2)|~ilf_type(X4,set_type)|~member(X4,X3)),inference(split_conjunct,[status(thm)],[48])).
% fof(54, 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)],[5])).
% fof(55, 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)],[54])).
% fof(56, 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)],[55])).
% fof(57, 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)],[56])).
% cnf(58,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~member(X2,X4)|~member(X1,X3)),inference(split_conjunct,[status(thm)],[57])).
% fof(130, 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)],[17])).
% fof(131, 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)],[130])).
% fof(132, 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(esk10_2(X4,X5),set_type)&(member(esk10_2(X4,X5),X4)&~(member(esk10_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[131])).
% fof(133, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk10_2(X4,X5),set_type)&(member(esk10_2(X4,X5),X4)&~(member(esk10_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[132])).
% fof(134, 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(esk10_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk10_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk10_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[133])).
% cnf(135,plain,(member(X1,power_set(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk10_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[134])).
% cnf(136,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[134])).
% fof(139, 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)],[18])).
% fof(140, 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)],[139])).
% fof(141, 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)],[140])).
% fof(142, 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)],[141])).
% cnf(143,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(split_conjunct,[status(thm)],[142])).
% fof(149, 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)],[29])).
% fof(150, 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)],[149])).
% fof(151, 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)],[150])).
% fof(152, 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)],[151])).
% cnf(153,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(X1,X2)),inference(split_conjunct,[status(thm)],[152])).
% fof(158, plain,![X1]:(~(ilf_type(X1,set_type))|(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_nnf,[status(thm)],[30])).
% fof(159, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[158])).
% fof(160, 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)],[159])).
% cnf(162,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[160])).
% fof(167, 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)],[24])).
% fof(168, 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)],[167])).
% fof(169, 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)],[168])).
% fof(170, 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)],[169])).
% cnf(171,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(split_conjunct,[status(thm)],[170])).
% fof(173, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[25])).
% cnf(174,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[173])).
% fof(175, negated_conjecture,?[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(X3,X1)&member(X4,X2))&~(ilf_type(singleton(ordered_pair(X3,X4)),relation_type(X1,X2)))))))),inference(fof_nnf,[status(thm)],[27])).
% fof(176, negated_conjecture,?[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(X7,X5)&member(X8,X6))&~(ilf_type(singleton(ordered_pair(X7,X8)),relation_type(X5,X6)))))))),inference(variable_rename,[status(thm)],[175])).
% fof(177, negated_conjecture,(ilf_type(esk12_0,set_type)&(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,set_type)&((member(esk14_0,esk12_0)&member(esk15_0,esk13_0))&~(ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),relation_type(esk12_0,esk13_0)))))))),inference(skolemize,[status(esa)],[176])).
% cnf(178,negated_conjecture,(~ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),relation_type(esk12_0,esk13_0))),inference(split_conjunct,[status(thm)],[177])).
% cnf(179,negated_conjecture,(member(esk15_0,esk13_0)),inference(split_conjunct,[status(thm)],[177])).
% cnf(180,negated_conjecture,(member(esk14_0,esk12_0)),inference(split_conjunct,[status(thm)],[177])).
% cnf(192,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[162,174,theory(equality)])).
% cnf(193,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[192,theory(equality)])).
% cnf(219,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[171,174,theory(equality)])).
% cnf(220,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[219,174,theory(equality)])).
% cnf(221,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[220,theory(equality)])).
% cnf(222,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk10_2(X1,X2),X2)),inference(rw,[status(thm)],[135,174,theory(equality)])).
% cnf(223,plain,(member(X1,power_set(X2))|$false|$false|~member(esk10_2(X1,X2),X2)),inference(rw,[status(thm)],[222,174,theory(equality)])).
% cnf(224,plain,(member(X1,power_set(X2))|~member(esk10_2(X1,X2),X2)),inference(cn,[status(thm)],[223,theory(equality)])).
% cnf(280,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[136,174,theory(equality)])).
% cnf(281,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[280,174,theory(equality)])).
% cnf(282,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)),inference(cn,[status(thm)],[281,theory(equality)])).
% cnf(287,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[143,174,theory(equality)])).
% cnf(288,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[287,174,theory(equality)])).
% cnf(289,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[288,theory(equality)])).
% cnf(319,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[153,174,theory(equality)])).
% cnf(320,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[319,174,theory(equality)])).
% cnf(321,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[320,theory(equality)])).
% cnf(336,plain,(X2=X4|singleton(X2)!=X3|~member(X4,X3)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[53,174,theory(equality)])).
% cnf(337,plain,(X2=X4|singleton(X2)!=X3|~member(X4,X3)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[336,174,theory(equality)])).
% cnf(338,plain,(X2=X4|singleton(X2)!=X3|~member(X4,X3)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[337,174,theory(equality)])).
% cnf(339,plain,(X2=X4|singleton(X2)!=X3|~member(X4,X3)|$false|$false|$false|$false),inference(rw,[status(thm)],[338,174,theory(equality)])).
% cnf(340,plain,(X2=X4|singleton(X2)!=X3|~member(X4,X3)),inference(cn,[status(thm)],[339,theory(equality)])).
% cnf(341,plain,(X1=X2|~member(X2,singleton(X1))),inference(er,[status(thm)],[340,theory(equality)])).
% cnf(403,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[58,174,theory(equality)])).
% cnf(404,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[403,174,theory(equality)])).
% cnf(405,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[404,174,theory(equality)])).
% cnf(406,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|$false|$false),inference(rw,[status(thm)],[405,174,theory(equality)])).
% cnf(407,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(408,negated_conjecture,(member(ordered_pair(X1,esk15_0),cross_product(X2,esk13_0))|~member(X1,X2)),inference(spm,[status(thm)],[407,179,theory(equality)])).
% cnf(444,plain,(X1=esk10_2(singleton(X1),X2)|member(singleton(X1),power_set(X2))),inference(spm,[status(thm)],[341,282,theory(equality)])).
% cnf(670,negated_conjecture,(member(ordered_pair(esk14_0,esk15_0),cross_product(esk12_0,esk13_0))),inference(spm,[status(thm)],[408,180,theory(equality)])).
% cnf(1313,plain,(member(singleton(X1),power_set(X2))|~member(X1,X2)),inference(spm,[status(thm)],[224,444,theory(equality)])).
% cnf(1365,negated_conjecture,(member(singleton(ordered_pair(esk14_0,esk15_0)),power_set(cross_product(esk12_0,esk13_0)))),inference(spm,[status(thm)],[1313,670,theory(equality)])).
% cnf(2746,negated_conjecture,(empty(power_set(cross_product(esk12_0,esk13_0)))|ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),member_type(power_set(cross_product(esk12_0,esk13_0))))),inference(spm,[status(thm)],[321,1365,theory(equality)])).
% cnf(2766,negated_conjecture,(ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),member_type(power_set(cross_product(esk12_0,esk13_0))))),inference(sr,[status(thm)],[2746,193,theory(equality)])).
% cnf(4613,negated_conjecture,(ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),subset_type(cross_product(esk12_0,esk13_0)))),inference(spm,[status(thm)],[221,2766,theory(equality)])).
% cnf(4792,negated_conjecture,(ilf_type(singleton(ordered_pair(esk14_0,esk15_0)),relation_type(esk12_0,esk13_0))),inference(spm,[status(thm)],[289,4613,theory(equality)])).
% cnf(4801,negated_conjecture,($false),inference(sr,[status(thm)],[4792,178,theory(equality)])).
% cnf(4802,negated_conjecture,($false),4801,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 671
% # ...of these trivial : 19
% # ...subsumed : 310
% # ...remaining for further processing: 342
% # Other redundant clauses eliminated : 17
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 12
% # Generated clauses : 3967
% # ...of the previous two non-trivial : 3686
% # Contextual simplify-reflections : 127
% # Paramodulations : 3939
% # Factorizations : 2
% # Equation resolutions : 26
% # Current number of processed clauses: 329
% # Positive orientable unit clauses: 106
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 19
% # Non-unit-clauses : 203
% # Current number of unprocessed clauses: 3061
% # ...number of literals in the above : 9208
% # Clause-clause subsumption calls (NU) : 3056
% # Rec. Clause-clause subsumption calls : 2751
% # Unit Clause-clause subsumption calls : 87
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 62
% # Indexed BW rewrite successes : 10
% # Backwards rewriting index: 458 leaves, 1.31+/-0.802 terms/leaf
% # Paramod-from index: 173 leaves, 1.25+/-0.603 terms/leaf
% # Paramod-into index: 401 leaves, 1.29+/-0.701 terms/leaf
% # -------------------------------------------------
% # User time : 0.154 s
% # System time : 0.009 s
% # Total time : 0.163 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.30 CPU 0.40 WC
% FINAL PrfWatch: 0.30 CPU 0.40 WC
% SZS output end Solution for /tmp/SystemOnTPTP32561/SET646+3.tptp
%
%------------------------------------------------------------------------------