TSTP Solution File: SET641+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET641+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 : art02.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 23:20:40 EST 2010
% Result : Theorem 0.94s
% Output : Solution 0.94s
% 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/SystemOnTPTP32570/SET641+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32570/SET641+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32570/SET641+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 32666
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.017 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,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', p1)).
% fof(5, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(subset(X1,X2)<=>![X3]:(ilf_type(X3,set_type)=>(member(X3,X1)=>member(X3,X2)))))),file('/tmp/SRASS.s.p', p5)).
% fof(11, axiom,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),file('/tmp/SRASS.s.p', p14)).
% fof(12, 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', p10)).
% fof(13, 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', p12)).
% fof(15, 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', p7)).
% fof(18, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p18)).
% fof(19, conjecture,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>(subset(X1,cross_product(X2,X3))=>ilf_type(X1,relation_type(X2,X3)))))),file('/tmp/SRASS.s.p', prove_relset_1_3)).
% fof(20, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>(subset(X1,cross_product(X2,X3))=>ilf_type(X1,relation_type(X2,X3))))))),inference(assume_negation,[status(cth)],[19])).
% fof(21, plain,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),inference(fof_simplification,[status(thm)],[11,theory(equality)])).
% fof(22, 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)],[13,theory(equality)])).
% fof(37, 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)],[4])).
% fof(38, 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)],[37])).
% fof(39, 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)],[38])).
% fof(40, 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)],[39])).
% cnf(41,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)],[40])).
% fof(43, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(subset(X1,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))))|subset(X1,X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(44, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(subset(X4,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))))|subset(X4,X5))))),inference(variable_rename,[status(thm)],[43])).
% fof(45, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(subset(X4,X5))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5))))&((ilf_type(esk2_2(X4,X5),set_type)&(member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5))))|subset(X4,X5))))),inference(skolemize,[status(esa)],[44])).
% fof(46, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))&((ilf_type(esk2_2(X4,X5),set_type)&(member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5))))|subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((ilf_type(esk2_2(X4,X5),set_type)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk2_2(X4,X5),X4)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk2_2(X4,X5),X5))|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[46])).
% cnf(51,plain,(member(X3,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X1,X2)|~member(X3,X1)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[47])).
% fof(86, plain,![X1]:(~(ilf_type(X1,set_type))|((~(empty(X1))|![X2]:(~(ilf_type(X2,set_type))|~(member(X2,X1))))&(?[X2]:(ilf_type(X2,set_type)&member(X2,X1))|empty(X1)))),inference(fof_nnf,[status(thm)],[21])).
% fof(87, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&(?[X5]:(ilf_type(X5,set_type)&member(X5,X3))|empty(X3)))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&((ilf_type(esk9_1(X3),set_type)&member(esk9_1(X3),X3))|empty(X3)))),inference(skolemize,[status(esa)],[87])).
% fof(89, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))&((ilf_type(esk9_1(X3),set_type)&member(esk9_1(X3),X3))|empty(X3)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[88])).
% fof(90, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))|~(ilf_type(X3,set_type)))&(((ilf_type(esk9_1(X3),set_type)|empty(X3))|~(ilf_type(X3,set_type)))&((member(esk9_1(X3),X3)|empty(X3))|~(ilf_type(X3,set_type))))),inference(distribute,[status(thm)],[89])).
% cnf(93,plain,(~ilf_type(X1,set_type)|~empty(X1)|~member(X2,X1)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[90])).
% fof(94, 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)],[12])).
% fof(95, 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)],[94])).
% fof(96, 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)],[95])).
% fof(97, 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)],[96])).
% fof(98, 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)],[97])).
% cnf(99,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)],[98])).
% cnf(100,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)],[98])).
% fof(103, 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)],[22])).
% fof(104, 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)],[103])).
% fof(105, 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)],[104])).
% fof(106, 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)],[105])).
% cnf(107,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)],[106])).
% fof(112, 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)],[15])).
% fof(113, 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)],[112])).
% fof(114, 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)],[113])).
% fof(115, 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)],[114])).
% cnf(116,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)],[115])).
% fof(127, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[18])).
% cnf(128,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[127])).
% fof(129, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&?[X2]:(ilf_type(X2,set_type)&?[X3]:(ilf_type(X3,set_type)&(subset(X1,cross_product(X2,X3))&~(ilf_type(X1,relation_type(X2,X3))))))),inference(fof_nnf,[status(thm)],[20])).
% fof(130, negated_conjecture,?[X4]:(ilf_type(X4,set_type)&?[X5]:(ilf_type(X5,set_type)&?[X6]:(ilf_type(X6,set_type)&(subset(X4,cross_product(X5,X6))&~(ilf_type(X4,relation_type(X5,X6))))))),inference(variable_rename,[status(thm)],[129])).
% fof(131, negated_conjecture,(ilf_type(esk12_0,set_type)&(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(subset(esk12_0,cross_product(esk13_0,esk14_0))&~(ilf_type(esk12_0,relation_type(esk13_0,esk14_0))))))),inference(skolemize,[status(esa)],[130])).
% cnf(132,negated_conjecture,(~ilf_type(esk12_0,relation_type(esk13_0,esk14_0))),inference(split_conjunct,[status(thm)],[131])).
% cnf(133,negated_conjecture,(subset(esk12_0,cross_product(esk13_0,esk14_0))),inference(split_conjunct,[status(thm)],[131])).
% cnf(174,plain,(~empty(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[93,128,theory(equality)])).
% cnf(175,plain,(~empty(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[174,128,theory(equality)])).
% cnf(176,plain,(~empty(X1)|~member(X2,X1)),inference(cn,[status(thm)],[175,theory(equality)])).
% cnf(193,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[107,128,theory(equality)])).
% cnf(194,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[193,128,theory(equality)])).
% cnf(195,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[194,theory(equality)])).
% cnf(196,plain,(ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(csr,[status(thm)],[195,176])).
% cnf(200,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[41,128,theory(equality)])).
% cnf(201,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[200,128,theory(equality)])).
% cnf(202,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[201,theory(equality)])).
% cnf(210,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[116,128,theory(equality)])).
% cnf(211,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[210,128,theory(equality)])).
% cnf(212,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[211,theory(equality)])).
% cnf(225,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[100,128,theory(equality)])).
% cnf(226,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[225,128,theory(equality)])).
% cnf(227,plain,(member(X1,power_set(X2))|member(esk10_2(X1,X2),X1)),inference(cn,[status(thm)],[226,theory(equality)])).
% cnf(228,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[51,128,theory(equality)])).
% cnf(229,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[228,128,theory(equality)])).
% cnf(230,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|$false),inference(rw,[status(thm)],[229,128,theory(equality)])).
% cnf(231,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)),inference(cn,[status(thm)],[230,theory(equality)])).
% cnf(232,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk10_2(X1,X2),X2)),inference(rw,[status(thm)],[99,128,theory(equality)])).
% cnf(233,plain,(member(X1,power_set(X2))|$false|$false|~member(esk10_2(X1,X2),X2)),inference(rw,[status(thm)],[232,128,theory(equality)])).
% cnf(234,plain,(member(X1,power_set(X2))|~member(esk10_2(X1,X2),X2)),inference(cn,[status(thm)],[233,theory(equality)])).
% cnf(284,plain,(ilf_type(X1,subset_type(X2))|~member(X1,power_set(X2))),inference(spm,[status(thm)],[212,196,theory(equality)])).
% cnf(287,negated_conjecture,(member(X1,cross_product(esk13_0,esk14_0))|~member(X1,esk12_0)),inference(spm,[status(thm)],[231,133,theory(equality)])).
% cnf(347,negated_conjecture,(member(X1,power_set(cross_product(esk13_0,esk14_0)))|~member(esk10_2(X1,cross_product(esk13_0,esk14_0)),esk12_0)),inference(spm,[status(thm)],[234,287,theory(equality)])).
% cnf(355,plain,(ilf_type(X1,relation_type(X2,X3))|~member(X1,power_set(cross_product(X2,X3)))),inference(spm,[status(thm)],[202,284,theory(equality)])).
% cnf(394,negated_conjecture,(~member(esk12_0,power_set(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[132,355,theory(equality)])).
% cnf(982,negated_conjecture,(member(esk12_0,power_set(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[347,227,theory(equality)])).
% cnf(983,negated_conjecture,($false),inference(sr,[status(thm)],[982,394,theory(equality)])).
% cnf(984,negated_conjecture,($false),983,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 212
% # ...of these trivial : 13
% # ...subsumed : 36
% # ...remaining for further processing: 163
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 4
% # Generated clauses : 657
% # ...of the previous two non-trivial : 609
% # Contextual simplify-reflections : 3
% # Paramodulations : 654
% # Factorizations : 0
% # Equation resolutions : 3
% # Current number of processed clauses: 128
% # Positive orientable unit clauses: 19
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 106
% # Current number of unprocessed clauses: 473
% # ...number of literals in the above : 1328
% # Clause-clause subsumption calls (NU) : 230
% # Rec. Clause-clause subsumption calls : 219
% # Unit Clause-clause subsumption calls : 5
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 154 leaves, 1.42+/-0.966 terms/leaf
% # Paramod-from index: 65 leaves, 1.26+/-0.615 terms/leaf
% # Paramod-into index: 144 leaves, 1.32+/-0.684 terms/leaf
% # -------------------------------------------------
% # User time : 0.042 s
% # System time : 0.003 s
% # Total time : 0.045 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.13 CPU 0.22 WC
% FINAL PrfWatch: 0.13 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP32570/SET641+3.tptp
%
%------------------------------------------------------------------------------