TSTP Solution File: SET649+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET649+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 : art01.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 23:21:35 EST 2010
% Result : Theorem 1.39s
% Output : Solution 1.39s
% 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/SystemOnTPTP27944/SET649+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27944/SET649+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27944/SET649+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 28040
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # 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(7, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p26)).
% fof(8, 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(9, 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', p12)).
% fof(15, 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(17, 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(20, 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(22, 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', p20)).
% fof(23, 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', p22)).
% 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', p15)).
% fof(27, conjecture,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,binary_relation_type)=>((subset(domain_of(X3),X1)&subset(range_of(X3),X2))=>ilf_type(X3,relation_type(X1,X2)))))),file('/tmp/SRASS.s.p', prove_relset_1_11)).
% fof(28, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,binary_relation_type)=>((subset(domain_of(X3),X1)&subset(range_of(X3),X2))=>ilf_type(X3,relation_type(X1,X2))))))),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)],[20,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)],[23,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(54, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[7])).
% cnf(55,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:(~(ilf_type(X1,binary_relation_type))|subset(X1,cross_product(domain_of(X1),range_of(X1)))),inference(fof_nnf,[status(thm)],[8])).
% fof(57, plain,![X2]:(~(ilf_type(X2,binary_relation_type))|subset(X2,cross_product(domain_of(X2),range_of(X2)))),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(subset(X1,cross_product(domain_of(X1),range_of(X1)))|~ilf_type(X1,binary_relation_type)),inference(split_conjunct,[status(thm)],[57])).
% fof(59, 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)],[9])).
% fof(60, 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)],[59])).
% fof(61, 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(esk3_2(X4,X5),set_type)&(member(esk3_2(X4,X5),X4)&~(member(esk3_2(X4,X5),X5))))|subset(X4,X5))))),inference(skolemize,[status(esa)],[60])).
% fof(62, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))&((ilf_type(esk3_2(X4,X5),set_type)&(member(esk3_2(X4,X5),X4)&~(member(esk3_2(X4,X5),X5))))|subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[61])).
% fof(63, 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(esk3_2(X4,X5),set_type)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk3_2(X4,X5),X4)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk3_2(X4,X5),X5))|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[62])).
% cnf(67,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)],[63])).
% fof(98, 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)],[15])).
% fof(99, 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)],[98])).
% fof(100, 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)],[99])).
% cnf(101,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)],[100])).
% fof(106, 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)],[17])).
% fof(107, 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)],[106])).
% fof(108, 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)],[107])).
% fof(109, 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)],[108])).
% cnf(110,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)],[109])).
% fof(119, 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(120, 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)],[119])).
% fof(121, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&((ilf_type(esk7_1(X3),set_type)&member(esk7_1(X3),X3))|empty(X3)))),inference(skolemize,[status(esa)],[120])).
% fof(122, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))&((ilf_type(esk7_1(X3),set_type)&member(esk7_1(X3),X3))|empty(X3)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))|~(ilf_type(X3,set_type)))&(((ilf_type(esk7_1(X3),set_type)|empty(X3))|~(ilf_type(X3,set_type)))&((member(esk7_1(X3),X3)|empty(X3))|~(ilf_type(X3,set_type))))),inference(distribute,[status(thm)],[122])).
% cnf(126,plain,(~ilf_type(X1,set_type)|~empty(X1)|~member(X2,X1)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[123])).
% fof(138, 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)],[22])).
% fof(139, 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)],[138])).
% fof(140, 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(esk11_2(X4,X5),set_type)&(member(esk11_2(X4,X5),X4)&~(member(esk11_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[139])).
% fof(141, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk11_2(X4,X5),set_type)&(member(esk11_2(X4,X5),X4)&~(member(esk11_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[140])).
% fof(142, 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(esk11_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk11_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk11_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[141])).
% cnf(143,plain,(member(X1,power_set(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk11_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[142])).
% cnf(144,plain,(member(X1,power_set(X2))|member(esk11_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[142])).
% fof(147, 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(148, 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)],[147])).
% fof(149, 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)],[148])).
% fof(150, 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)],[149])).
% cnf(151,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)],[150])).
% fof(153, 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(154, 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)],[153])).
% fof(155, 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)],[154])).
% fof(156, 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)],[155])).
% cnf(157,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)],[156])).
% fof(168, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&?[X2]:(ilf_type(X2,set_type)&?[X3]:(ilf_type(X3,binary_relation_type)&((subset(domain_of(X3),X1)&subset(range_of(X3),X2))&~(ilf_type(X3,relation_type(X1,X2))))))),inference(fof_nnf,[status(thm)],[28])).
% fof(169, negated_conjecture,?[X4]:(ilf_type(X4,set_type)&?[X5]:(ilf_type(X5,set_type)&?[X6]:(ilf_type(X6,binary_relation_type)&((subset(domain_of(X6),X4)&subset(range_of(X6),X5))&~(ilf_type(X6,relation_type(X4,X5))))))),inference(variable_rename,[status(thm)],[168])).
% fof(170, negated_conjecture,(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,binary_relation_type)&((subset(domain_of(esk15_0),esk13_0)&subset(range_of(esk15_0),esk14_0))&~(ilf_type(esk15_0,relation_type(esk13_0,esk14_0))))))),inference(skolemize,[status(esa)],[169])).
% cnf(171,negated_conjecture,(~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(split_conjunct,[status(thm)],[170])).
% cnf(172,negated_conjecture,(subset(range_of(esk15_0),esk14_0)),inference(split_conjunct,[status(thm)],[170])).
% cnf(173,negated_conjecture,(subset(domain_of(esk15_0),esk13_0)),inference(split_conjunct,[status(thm)],[170])).
% cnf(174,negated_conjecture,(ilf_type(esk15_0,binary_relation_type)),inference(split_conjunct,[status(thm)],[170])).
% cnf(223,plain,(~empty(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[126,55,theory(equality)])).
% cnf(224,plain,(~empty(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[223,55,theory(equality)])).
% cnf(225,plain,(~empty(X1)|~member(X2,X1)),inference(cn,[status(thm)],[224,theory(equality)])).
% cnf(235,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[36,55,theory(equality)])).
% cnf(236,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[235,55,theory(equality)])).
% cnf(237,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|$false),inference(rw,[status(thm)],[236,55,theory(equality)])).
% cnf(238,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)),inference(cn,[status(thm)],[237,theory(equality)])).
% cnf(245,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[151,55,theory(equality)])).
% cnf(246,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[245,55,theory(equality)])).
% cnf(247,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[246,theory(equality)])).
% cnf(248,plain,(ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(csr,[status(thm)],[247,225])).
% cnf(259,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[157,55,theory(equality)])).
% cnf(260,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[259,55,theory(equality)])).
% cnf(261,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[260,theory(equality)])).
% cnf(265,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[110,55,theory(equality)])).
% cnf(266,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[265,55,theory(equality)])).
% cnf(267,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[266,theory(equality)])).
% cnf(276,plain,(member(X1,power_set(X2))|member(esk11_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[144,55,theory(equality)])).
% cnf(277,plain,(member(X1,power_set(X2))|member(esk11_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[276,55,theory(equality)])).
% cnf(278,plain,(member(X1,power_set(X2))|member(esk11_2(X1,X2),X1)),inference(cn,[status(thm)],[277,theory(equality)])).
% cnf(283,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk11_2(X1,X2),X2)),inference(rw,[status(thm)],[143,55,theory(equality)])).
% cnf(284,plain,(member(X1,power_set(X2))|$false|$false|~member(esk11_2(X1,X2),X2)),inference(rw,[status(thm)],[283,55,theory(equality)])).
% cnf(285,plain,(member(X1,power_set(X2))|~member(esk11_2(X1,X2),X2)),inference(cn,[status(thm)],[284,theory(equality)])).
% cnf(286,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[67,55,theory(equality)])).
% cnf(287,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[286,55,theory(equality)])).
% cnf(288,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|$false),inference(rw,[status(thm)],[287,55,theory(equality)])).
% cnf(289,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)),inference(cn,[status(thm)],[288,theory(equality)])).
% cnf(300,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[101,55,theory(equality)])).
% cnf(301,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[300,55,theory(equality)])).
% cnf(302,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[301,55,theory(equality)])).
% cnf(303,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|$false),inference(rw,[status(thm)],[302,55,theory(equality)])).
% cnf(304,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)),inference(cn,[status(thm)],[303,theory(equality)])).
% cnf(312,negated_conjecture,(subset(esk15_0,cross_product(domain_of(esk15_0),range_of(esk15_0)))),inference(spm,[status(thm)],[58,174,theory(equality)])).
% cnf(340,negated_conjecture,(subset(cross_product(X1,range_of(esk15_0)),cross_product(X2,esk14_0))|~subset(X1,X2)),inference(spm,[status(thm)],[304,172,theory(equality)])).
% cnf(534,negated_conjecture,(subset(cross_product(domain_of(esk15_0),range_of(esk15_0)),cross_product(esk13_0,esk14_0))),inference(spm,[status(thm)],[340,173,theory(equality)])).
% cnf(546,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)],[238,534,theory(equality)])).
% cnf(1502,negated_conjecture,(subset(esk15_0,cross_product(esk13_0,esk14_0))),inference(spm,[status(thm)],[546,312,theory(equality)])).
% cnf(1527,negated_conjecture,(member(X1,cross_product(esk13_0,esk14_0))|~member(X1,esk15_0)),inference(spm,[status(thm)],[289,1502,theory(equality)])).
% cnf(2199,negated_conjecture,(member(esk11_2(esk15_0,X1),cross_product(esk13_0,esk14_0))|member(esk15_0,power_set(X1))),inference(spm,[status(thm)],[1527,278,theory(equality)])).
% cnf(6806,negated_conjecture,(member(esk15_0,power_set(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[285,2199,theory(equality)])).
% cnf(6811,negated_conjecture,(ilf_type(esk15_0,member_type(power_set(cross_product(esk13_0,esk14_0))))),inference(spm,[status(thm)],[248,6806,theory(equality)])).
% cnf(6814,negated_conjecture,(ilf_type(esk15_0,subset_type(cross_product(esk13_0,esk14_0)))),inference(spm,[status(thm)],[261,6811,theory(equality)])).
% cnf(6833,negated_conjecture,(ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(spm,[status(thm)],[267,6814,theory(equality)])).
% cnf(6836,negated_conjecture,($false),inference(sr,[status(thm)],[6833,171,theory(equality)])).
% cnf(6837,negated_conjecture,($false),6836,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 937
% # ...of these trivial : 74
% # ...subsumed : 223
% # ...remaining for further processing: 640
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 2
% # Generated clauses : 6070
% # ...of the previous two non-trivial : 5772
% # Contextual simplify-reflections : 21
% # Paramodulations : 6070
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 599
% # Positive orientable unit clauses: 296
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 7
% # Non-unit-clauses : 296
% # Current number of unprocessed clauses: 4928
% # ...number of literals in the above : 7175
% # Clause-clause subsumption calls (NU) : 2161
% # Rec. Clause-clause subsumption calls : 1920
% # Unit Clause-clause subsumption calls : 559
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1179
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 787 leaves, 1.45+/-1.610 terms/leaf
% # Paramod-from index: 247 leaves, 1.68+/-1.754 terms/leaf
% # Paramod-into index: 644 leaves, 1.46+/-1.632 terms/leaf
% # -------------------------------------------------
% # User time : 0.209 s
% # System time : 0.009 s
% # Total time : 0.218 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.41 CPU 0.48 WC
% FINAL PrfWatch: 0.41 CPU 0.48 WC
% SZS output end Solution for /tmp/SystemOnTPTP27944/SET649+3.tptp
%
%------------------------------------------------------------------------------