TSTP Solution File: SET651+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET651+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 : art07.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 23:21:48 EST 2010
% Result : Theorem 27.43s
% Output : Solution 27.43s
% 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/SystemOnTPTP31276/SET651+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31276/SET651+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31276/SET651+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 31372
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.54 CPU 4.02 WC
% PrfWatch: 5.18 CPU 6.03 WC
% PrfWatch: 7.18 CPU 8.03 WC
% PrfWatch: 9.17 CPU 10.04 WC
% PrfWatch: 11.16 CPU 12.04 WC
% PrfWatch: 12.76 CPU 14.05 WC
% PrfWatch: 14.40 CPU 16.05 WC
% PrfWatch: 16.39 CPU 18.06 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 18.38 CPU 20.06 WC
% PrfWatch: 20.37 CPU 22.06 WC
% PrfWatch: 22.36 CPU 24.07 WC
% PrfWatch: 24.36 CPU 26.07 WC
% PrfWatch: 26.35 CPU 28.08 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3))))),file('/tmp/SRASS.s.p', p1)).
% fof(4, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p26)).
% fof(5, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>(subset(domain_of(X3),X1)&subset(range_of(X3),X2))))),file('/tmp/SRASS.s.p', p6)).
% fof(7, 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', p9)).
% fof(8, 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)=>((subset(X1,X2)&subset(X3,X4))=>subset(cross_product(X1,X3),cross_product(X2,X4))))))),file('/tmp/SRASS.s.p', p3)).
% fof(12, 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', p4)).
% fof(13, 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', p23)).
% fof(15, axiom,![X1]:(ilf_type(X1,binary_relation_type)=>subset(X1,cross_product(domain_of(X1),range_of(X1)))),file('/tmp/SRASS.s.p', p2)).
% fof(17, axiom,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),file('/tmp/SRASS.s.p', p24)).
% fof(19, axiom,![X1]:(ilf_type(X1,set_type)=>(ilf_type(X1,binary_relation_type)<=>(relation_like(X1)&ilf_type(X1,set_type)))),file('/tmp/SRASS.s.p', p13)).
% fof(20, 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', p18)).
% fof(21, 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', p20)).
% fof(22, 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', p15)).
% fof(27, 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,X3))=>(subset(domain_of(X4),X2)=>ilf_type(X4,relation_type(X2,X3))))))),file('/tmp/SRASS.s.p', prove_relset_1_13)).
% fof(28, 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,X3))=>(subset(domain_of(X4),X2)=>ilf_type(X4,relation_type(X2,X3)))))))),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),inference(fof_simplification,[status(thm)],[17,theory(equality)])).
% fof(30, 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)],[21,theory(equality)])).
% fof(33, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|((~(subset(X1,X2))|~(subset(X2,X3)))|subset(X1,X3))))),inference(fof_nnf,[status(thm)],[1])).
% fof(34, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6))))),inference(variable_rename,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,set_type))|((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[34])).
% cnf(36,plain,(subset(X1,X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X2,X3)|~subset(X1,X2)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[35])).
% fof(45, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[4])).
% cnf(46,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,relation_type(X1,X2)))|(subset(domain_of(X3),X1)&subset(range_of(X3),X2))))),inference(fof_nnf,[status(thm)],[5])).
% fof(48, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,relation_type(X4,X5)))|(subset(domain_of(X6),X4)&subset(range_of(X6),X5))))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,relation_type(X4,X5)))|(subset(domain_of(X6),X4)&subset(range_of(X6),X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[48])).
% fof(50, plain,![X4]:![X5]:![X6]:((((subset(domain_of(X6),X4)|~(ilf_type(X6,relation_type(X4,X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((subset(range_of(X6),X5)|~(ilf_type(X6,relation_type(X4,X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))),inference(distribute,[status(thm)],[49])).
% cnf(51,plain,(subset(range_of(X3),X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(split_conjunct,[status(thm)],[50])).
% fof(56, 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)],[7])).
% fof(57, 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)],[56])).
% fof(58, 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)],[57])).
% fof(59, 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)],[58])).
% fof(60, 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)],[59])).
% cnf(64,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)],[60])).
% fof(65, 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))|((~(subset(X1,X2))|~(subset(X3,X4)))|subset(cross_product(X1,X3),cross_product(X2,X4))))))),inference(fof_nnf,[status(thm)],[8])).
% fof(66, 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))|((~(subset(X5,X6))|~(subset(X7,X8)))|subset(cross_product(X5,X7),cross_product(X6,X8))))))),inference(variable_rename,[status(thm)],[65])).
% fof(67, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,set_type))|((~(subset(X5,X6))|~(subset(X7,X8)))|subset(cross_product(X5,X7),cross_product(X6,X8))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[66])).
% cnf(68,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X3,X4)|~subset(X1,X2)|~ilf_type(X4,set_type)),inference(split_conjunct,[status(thm)],[67])).
% fof(80, 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)],[12])).
% fof(81, 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)],[80])).
% fof(82, 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)],[81])).
% fof(83, 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)],[82])).
% cnf(84,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)],[83])).
% cnf(85,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)],[83])).
% fof(86, 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)],[13])).
% fof(87, 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)],[86])).
% fof(88, 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)],[87])).
% cnf(89,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)],[88])).
% fof(94, plain,![X1]:(~(ilf_type(X1,binary_relation_type))|subset(X1,cross_product(domain_of(X1),range_of(X1)))),inference(fof_nnf,[status(thm)],[15])).
% fof(95, plain,![X2]:(~(ilf_type(X2,binary_relation_type))|subset(X2,cross_product(domain_of(X2),range_of(X2)))),inference(variable_rename,[status(thm)],[94])).
% cnf(96,plain,(subset(X1,cross_product(domain_of(X1),range_of(X1)))|~ilf_type(X1,binary_relation_type)),inference(split_conjunct,[status(thm)],[95])).
% fof(100, 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)],[29])).
% fof(101, 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)],[100])).
% fof(102, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&((ilf_type(esk5_1(X3),set_type)&member(esk5_1(X3),X3))|empty(X3)))),inference(skolemize,[status(esa)],[101])).
% fof(103, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))&((ilf_type(esk5_1(X3),set_type)&member(esk5_1(X3),X3))|empty(X3)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[102])).
% fof(104, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))|~(ilf_type(X3,set_type)))&(((ilf_type(esk5_1(X3),set_type)|empty(X3))|~(ilf_type(X3,set_type)))&((member(esk5_1(X3),X3)|empty(X3))|~(ilf_type(X3,set_type))))),inference(distribute,[status(thm)],[103])).
% cnf(107,plain,(~ilf_type(X1,set_type)|~empty(X1)|~member(X2,X1)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[104])).
% fof(116, plain,![X1]:(~(ilf_type(X1,set_type))|((~(ilf_type(X1,binary_relation_type))|(relation_like(X1)&ilf_type(X1,set_type)))&((~(relation_like(X1))|~(ilf_type(X1,set_type)))|ilf_type(X1,binary_relation_type)))),inference(fof_nnf,[status(thm)],[19])).
% fof(117, plain,![X2]:(~(ilf_type(X2,set_type))|((~(ilf_type(X2,binary_relation_type))|(relation_like(X2)&ilf_type(X2,set_type)))&((~(relation_like(X2))|~(ilf_type(X2,set_type)))|ilf_type(X2,binary_relation_type)))),inference(variable_rename,[status(thm)],[116])).
% fof(118, plain,![X2]:((((relation_like(X2)|~(ilf_type(X2,binary_relation_type)))|~(ilf_type(X2,set_type)))&((ilf_type(X2,set_type)|~(ilf_type(X2,binary_relation_type)))|~(ilf_type(X2,set_type))))&(((~(relation_like(X2))|~(ilf_type(X2,set_type)))|ilf_type(X2,binary_relation_type))|~(ilf_type(X2,set_type)))),inference(distribute,[status(thm)],[117])).
% cnf(119,plain,(ilf_type(X1,binary_relation_type)|~ilf_type(X1,set_type)|~ilf_type(X1,set_type)|~relation_like(X1)),inference(split_conjunct,[status(thm)],[118])).
% fof(122, 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)],[20])).
% fof(123, 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)],[122])).
% fof(124, 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(esk7_2(X4,X5),set_type)&(member(esk7_2(X4,X5),X4)&~(member(esk7_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[123])).
% fof(125, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk7_2(X4,X5),set_type)&(member(esk7_2(X4,X5),X4)&~(member(esk7_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[124])).
% fof(126, 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(esk7_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk7_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk7_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[125])).
% cnf(127,plain,(member(X1,power_set(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk7_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[126])).
% cnf(128,plain,(member(X1,power_set(X2))|member(esk7_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[126])).
% fof(131, 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)],[30])).
% fof(132, 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)],[131])).
% fof(133, 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)],[132])).
% fof(134, 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)],[133])).
% cnf(135,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)],[134])).
% fof(137, 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)],[22])).
% fof(138, 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)],[137])).
% fof(139, 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)],[138])).
% fof(140, 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)],[139])).
% cnf(141,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)],[140])).
% fof(166, 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,X3))&(subset(domain_of(X4),X2)&~(ilf_type(X4,relation_type(X2,X3)))))))),inference(fof_nnf,[status(thm)],[28])).
% fof(167, negated_conjecture,?[X5]:(ilf_type(X5,set_type)&?[X6]:(ilf_type(X6,set_type)&?[X7]:(ilf_type(X7,set_type)&?[X8]:(ilf_type(X8,relation_type(X5,X7))&(subset(domain_of(X8),X6)&~(ilf_type(X8,relation_type(X6,X7)))))))),inference(variable_rename,[status(thm)],[166])).
% fof(168, negated_conjecture,(ilf_type(esk12_0,set_type)&(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,relation_type(esk12_0,esk14_0))&(subset(domain_of(esk15_0),esk13_0)&~(ilf_type(esk15_0,relation_type(esk13_0,esk14_0)))))))),inference(skolemize,[status(esa)],[167])).
% cnf(169,negated_conjecture,(~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(split_conjunct,[status(thm)],[168])).
% cnf(170,negated_conjecture,(subset(domain_of(esk15_0),esk13_0)),inference(split_conjunct,[status(thm)],[168])).
% cnf(171,negated_conjecture,(ilf_type(esk15_0,relation_type(esk12_0,esk14_0))),inference(split_conjunct,[status(thm)],[168])).
% cnf(189,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[119,46,theory(equality)])).
% cnf(190,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[189,theory(equality)])).
% cnf(221,plain,(~empty(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[107,46,theory(equality)])).
% cnf(222,plain,(~empty(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[221,46,theory(equality)])).
% cnf(223,plain,(~empty(X1)|~member(X2,X1)),inference(cn,[status(thm)],[222,theory(equality)])).
% cnf(228,plain,(subset(range_of(X3),X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[51,46,theory(equality)])).
% cnf(229,plain,(subset(range_of(X3),X2)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[228,46,theory(equality)])).
% cnf(230,plain,(subset(range_of(X3),X2)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[229,theory(equality)])).
% cnf(234,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[36,46,theory(equality)])).
% cnf(235,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[234,46,theory(equality)])).
% cnf(236,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|$false),inference(rw,[status(thm)],[235,46,theory(equality)])).
% cnf(237,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)),inference(cn,[status(thm)],[236,theory(equality)])).
% cnf(244,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[89,46,theory(equality)])).
% cnf(245,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[244,46,theory(equality)])).
% cnf(246,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[245,theory(equality)])).
% cnf(247,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[135,46,theory(equality)])).
% cnf(248,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[247,46,theory(equality)])).
% cnf(249,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[248,theory(equality)])).
% cnf(250,plain,(ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(csr,[status(thm)],[249,223])).
% cnf(258,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[141,46,theory(equality)])).
% cnf(259,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[258,46,theory(equality)])).
% cnf(260,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[259,theory(equality)])).
% cnf(261,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[85,46,theory(equality)])).
% cnf(262,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[261,46,theory(equality)])).
% cnf(263,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[262,theory(equality)])).
% cnf(264,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[84,46,theory(equality)])).
% cnf(265,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[264,46,theory(equality)])).
% cnf(266,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[265,theory(equality)])).
% cnf(274,plain,(member(X1,power_set(X2))|member(esk7_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[128,46,theory(equality)])).
% cnf(275,plain,(member(X1,power_set(X2))|member(esk7_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[274,46,theory(equality)])).
% cnf(276,plain,(member(X1,power_set(X2))|member(esk7_2(X1,X2),X1)),inference(cn,[status(thm)],[275,theory(equality)])).
% cnf(281,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk7_2(X1,X2),X2)),inference(rw,[status(thm)],[127,46,theory(equality)])).
% cnf(282,plain,(member(X1,power_set(X2))|$false|$false|~member(esk7_2(X1,X2),X2)),inference(rw,[status(thm)],[281,46,theory(equality)])).
% cnf(283,plain,(member(X1,power_set(X2))|~member(esk7_2(X1,X2),X2)),inference(cn,[status(thm)],[282,theory(equality)])).
% cnf(288,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[64,46,theory(equality)])).
% cnf(289,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[288,46,theory(equality)])).
% cnf(290,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|$false),inference(rw,[status(thm)],[289,46,theory(equality)])).
% cnf(291,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)),inference(cn,[status(thm)],[290,theory(equality)])).
% cnf(297,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[68,46,theory(equality)])).
% cnf(298,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[297,46,theory(equality)])).
% cnf(299,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[298,46,theory(equality)])).
% cnf(300,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|$false),inference(rw,[status(thm)],[299,46,theory(equality)])).
% cnf(301,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)),inference(cn,[status(thm)],[300,theory(equality)])).
% cnf(323,negated_conjecture,(subset(range_of(esk15_0),esk14_0)),inference(spm,[status(thm)],[230,171,theory(equality)])).
% cnf(330,negated_conjecture,(ilf_type(esk15_0,subset_type(cross_product(esk12_0,esk14_0)))),inference(spm,[status(thm)],[263,171,theory(equality)])).
% cnf(364,negated_conjecture,(subset(cross_product(X1,range_of(esk15_0)),cross_product(X2,esk14_0))|~subset(X1,X2)),inference(spm,[status(thm)],[301,323,theory(equality)])).
% cnf(420,negated_conjecture,(relation_like(esk15_0)),inference(spm,[status(thm)],[246,330,theory(equality)])).
% cnf(423,negated_conjecture,(ilf_type(esk15_0,binary_relation_type)),inference(spm,[status(thm)],[190,420,theory(equality)])).
% cnf(436,negated_conjecture,(subset(esk15_0,cross_product(domain_of(esk15_0),range_of(esk15_0)))),inference(spm,[status(thm)],[96,423,theory(equality)])).
% cnf(1500,negated_conjecture,(subset(cross_product(domain_of(esk15_0),range_of(esk15_0)),cross_product(esk13_0,esk14_0))),inference(spm,[status(thm)],[364,170,theory(equality)])).
% cnf(1568,negated_conjecture,(subset(X1,cross_product(esk13_0,esk14_0))|~subset(X1,cross_product(domain_of(esk15_0),range_of(esk15_0)))),inference(spm,[status(thm)],[237,1500,theory(equality)])).
% cnf(330899,negated_conjecture,(subset(esk15_0,cross_product(esk13_0,esk14_0))),inference(spm,[status(thm)],[1568,436,theory(equality)])).
% cnf(331596,negated_conjecture,(member(X1,cross_product(esk13_0,esk14_0))|~member(X1,esk15_0)),inference(spm,[status(thm)],[291,330899,theory(equality)])).
% cnf(359213,negated_conjecture,(member(esk7_2(esk15_0,X1),cross_product(esk13_0,esk14_0))|member(esk15_0,power_set(X1))),inference(spm,[status(thm)],[331596,276,theory(equality)])).
% cnf(663283,negated_conjecture,(member(esk15_0,power_set(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[283,359213,theory(equality)])).
% cnf(663291,negated_conjecture,(ilf_type(esk15_0,member_type(power_set(cross_product(esk13_0,esk14_0))))),inference(spm,[status(thm)],[250,663283,theory(equality)])).
% cnf(667518,negated_conjecture,(ilf_type(esk15_0,subset_type(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[260,663291,theory(equality)])).
% cnf(667522,negated_conjecture,(ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(spm,[status(thm)],[266,667518,theory(equality)])).
% cnf(667525,negated_conjecture,($false),inference(sr,[status(thm)],[667522,169,theory(equality)])).
% cnf(667526,negated_conjecture,($false),667525,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 11036
% # ...of these trivial : 1932
% # ...subsumed : 3893
% # ...remaining for further processing: 5211
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 3
% # Generated clauses : 661902
% # ...of the previous two non-trivial : 658745
% # Contextual simplify-reflections : 41
% # Paramodulations : 661894
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 5162
% # Positive orientable unit clauses: 4133
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 18
% # Non-unit-clauses : 1011
% # Current number of unprocessed clauses: 647800
% # ...number of literals in the above : 723552
% # Clause-clause subsumption calls (NU) : 50222
% # Rec. Clause-clause subsumption calls : 46238
% # Unit Clause-clause subsumption calls : 27957
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 134672
% # Indexed BW rewrite successes : 3
% # Backwards rewriting index: 1849 leaves, 5.09+/-11.111 terms/leaf
% # Paramod-from index: 762 leaves, 5.92+/-11.949 terms/leaf
% # Paramod-into index: 1665 leaves, 5.39+/-11.456 terms/leaf
% # -------------------------------------------------
% # User time : 16.571 s
% # System time : 0.757 s
% # Total time : 17.328 s
% # Maximum resident set size: 0 pages
% PrfWatch: 26.55 CPU 28.28 WC
% FINAL PrfWatch: 26.55 CPU 28.28 WC
% SZS output end Solution for /tmp/SystemOnTPTP31276/SET651+3.tptp
%
%------------------------------------------------------------------------------