TSTP Solution File: SET683+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET683+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 23:28:43 EST 2010
% Result : Theorem 0.93s
% Output : Solution 0.93s
% 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/SystemOnTPTP12047/SET683+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP12047/SET683+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP12047/SET683+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 12143
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, 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', p4)).
% fof(5, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p24)).
% fof(6, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>ilf_type(domain(X1,X2,X3),subset_type(X1))))),file('/tmp/SRASS.s.p', p21)).
% fof(11, 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', p14)).
% fof(12, axiom,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),file('/tmp/SRASS.s.p', p15)).
% fof(13, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>domain(X1,X2,X3)=domain_of(X3)))),file('/tmp/SRASS.s.p', p20)).
% fof(14, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>range(X1,X2,X3)=range_of(X3)))),file('/tmp/SRASS.s.p', p22)).
% 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', p12)).
% 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', p2)).
% fof(21, 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', p10)).
% fof(23, 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', p18)).
% fof(24, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,binary_relation_type)=>(member(X1,range_of(X2))=>?[X3]:(ilf_type(X3,set_type)&member(X3,domain_of(X2)))))),file('/tmp/SRASS.s.p', p1)).
% fof(25, conjecture,![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X2,X1))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,range(X2,X1,X3))=>?[X5]:(ilf_type(X5,member_type(X2))&member(X5,domain(X2,X1,X3)))))))),file('/tmp/SRASS.s.p', prove_relset_1_50)).
% fof(26, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X2,X1))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,range(X2,X1,X3))=>?[X5]:(ilf_type(X5,member_type(X2))&member(X5,domain(X2,X1,X3))))))))),inference(assume_negation,[status(cth)],[25])).
% fof(27, 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)],[2,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)],[12,theory(equality)])).
% fof(31, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X2,X1))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,range(X2,X1,X3))=>?[X5]:(ilf_type(X5,member_type(X2))&member(X5,domain(X2,X1,X3))))))))),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(37, 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)],[27])).
% fof(38, 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)],[37])).
% fof(39, 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)],[38])).
% fof(40, 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)],[39])).
% cnf(41,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)],[40])).
% cnf(42,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,member_type(X2))),inference(split_conjunct,[status(thm)],[40])).
% fof(55, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[5])).
% cnf(56,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,relation_type(X1,X2)))|ilf_type(domain(X1,X2,X3),subset_type(X1))))),inference(fof_nnf,[status(thm)],[6])).
% fof(58, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,relation_type(X4,X5)))|ilf_type(domain(X4,X5,X6),subset_type(X4))))),inference(variable_rename,[status(thm)],[57])).
% fof(59, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,relation_type(X4,X5)))|ilf_type(domain(X4,X5,X6),subset_type(X4)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[58])).
% cnf(60,plain,(ilf_type(domain(X1,X2,X3),subset_type(X1))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(split_conjunct,[status(thm)],[59])).
% fof(76, 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)],[11])).
% fof(77, 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)],[76])).
% fof(78, 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(esk5_2(X4,X5),set_type)&(member(esk5_2(X4,X5),X4)&~(member(esk5_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[77])).
% fof(79, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk5_2(X4,X5),set_type)&(member(esk5_2(X4,X5),X4)&~(member(esk5_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[78])).
% fof(80, 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(esk5_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk5_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk5_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[79])).
% cnf(84,plain,(member(X3,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(X1,power_set(X2))|~member(X3,X1)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[80])).
% fof(85, 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(86, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[85])).
% fof(87, 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)],[86])).
% cnf(89,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[87])).
% fof(90, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,relation_type(X1,X2)))|domain(X1,X2,X3)=domain_of(X3)))),inference(fof_nnf,[status(thm)],[13])).
% fof(91, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,relation_type(X4,X5)))|domain(X4,X5,X6)=domain_of(X6)))),inference(variable_rename,[status(thm)],[90])).
% fof(92, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,relation_type(X4,X5)))|domain(X4,X5,X6)=domain_of(X6))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[91])).
% cnf(93,plain,(domain(X1,X2,X3)=domain_of(X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(split_conjunct,[status(thm)],[92])).
% fof(94, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,relation_type(X1,X2)))|range(X1,X2,X3)=range_of(X3)))),inference(fof_nnf,[status(thm)],[14])).
% fof(95, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,relation_type(X4,X5)))|range(X4,X5,X6)=range_of(X6)))),inference(variable_rename,[status(thm)],[94])).
% fof(96, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,relation_type(X4,X5)))|range(X4,X5,X6)=range_of(X6))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[95])).
% cnf(97,plain,(range(X1,X2,X3)=range_of(X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(split_conjunct,[status(thm)],[96])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% fof(101, 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)],[100])).
% cnf(103,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X2,subset_type(X1))),inference(split_conjunct,[status(thm)],[101])).
% fof(111, 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(112, 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)],[111])).
% fof(113, 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)],[112])).
% fof(114, 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)],[113])).
% cnf(116,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)],[114])).
% fof(123, 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)],[21])).
% fof(124, 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)],[123])).
% fof(125, 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)],[124])).
% cnf(126,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)],[125])).
% fof(140, 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)],[23])).
% fof(141, 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)],[140])).
% fof(142, 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)],[141])).
% cnf(143,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)],[142])).
% fof(144, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,binary_relation_type))|(~(member(X1,range_of(X2)))|?[X3]:(ilf_type(X3,set_type)&member(X3,domain_of(X2)))))),inference(fof_nnf,[status(thm)],[24])).
% fof(145, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,binary_relation_type))|(~(member(X4,range_of(X5)))|?[X6]:(ilf_type(X6,set_type)&member(X6,domain_of(X5)))))),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,binary_relation_type))|(~(member(X4,range_of(X5)))|(ilf_type(esk10_2(X4,X5),set_type)&member(esk10_2(X4,X5),domain_of(X5)))))),inference(skolemize,[status(esa)],[145])).
% fof(147, plain,![X4]:![X5]:((~(ilf_type(X5,binary_relation_type))|(~(member(X4,range_of(X5)))|(ilf_type(esk10_2(X4,X5),set_type)&member(esk10_2(X4,X5),domain_of(X5)))))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[146])).
% fof(148, plain,![X4]:![X5]:((((ilf_type(esk10_2(X4,X5),set_type)|~(member(X4,range_of(X5))))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type)))&(((member(esk10_2(X4,X5),domain_of(X5))|~(member(X4,range_of(X5))))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type)))),inference(distribute,[status(thm)],[147])).
% cnf(149,plain,(member(esk10_2(X1,X2),domain_of(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,range_of(X2))),inference(split_conjunct,[status(thm)],[148])).
% fof(151, negated_conjecture,?[X1]:((~(empty(X1))&ilf_type(X1,set_type))&?[X2]:((~(empty(X2))&ilf_type(X2,set_type))&?[X3]:(ilf_type(X3,relation_type(X2,X1))&?[X4]:(ilf_type(X4,member_type(X1))&(member(X4,range(X2,X1,X3))&![X5]:(~(ilf_type(X5,member_type(X2)))|~(member(X5,domain(X2,X1,X3))))))))),inference(fof_nnf,[status(thm)],[31])).
% fof(152, negated_conjecture,?[X6]:((~(empty(X6))&ilf_type(X6,set_type))&?[X7]:((~(empty(X7))&ilf_type(X7,set_type))&?[X8]:(ilf_type(X8,relation_type(X7,X6))&?[X9]:(ilf_type(X9,member_type(X6))&(member(X9,range(X7,X6,X8))&![X10]:(~(ilf_type(X10,member_type(X7)))|~(member(X10,domain(X7,X6,X8))))))))),inference(variable_rename,[status(thm)],[151])).
% fof(153, negated_conjecture,((~(empty(esk11_0))&ilf_type(esk11_0,set_type))&((~(empty(esk12_0))&ilf_type(esk12_0,set_type))&(ilf_type(esk13_0,relation_type(esk12_0,esk11_0))&(ilf_type(esk14_0,member_type(esk11_0))&(member(esk14_0,range(esk12_0,esk11_0,esk13_0))&![X10]:(~(ilf_type(X10,member_type(esk12_0)))|~(member(X10,domain(esk12_0,esk11_0,esk13_0))))))))),inference(skolemize,[status(esa)],[152])).
% fof(154, negated_conjecture,![X10]:((((((~(ilf_type(X10,member_type(esk12_0)))|~(member(X10,domain(esk12_0,esk11_0,esk13_0))))&member(esk14_0,range(esk12_0,esk11_0,esk13_0)))&ilf_type(esk14_0,member_type(esk11_0)))&ilf_type(esk13_0,relation_type(esk12_0,esk11_0)))&(~(empty(esk12_0))&ilf_type(esk12_0,set_type)))&(~(empty(esk11_0))&ilf_type(esk11_0,set_type))),inference(shift_quantors,[status(thm)],[153])).
% cnf(158,negated_conjecture,(~empty(esk12_0)),inference(split_conjunct,[status(thm)],[154])).
% cnf(159,negated_conjecture,(ilf_type(esk13_0,relation_type(esk12_0,esk11_0))),inference(split_conjunct,[status(thm)],[154])).
% cnf(161,negated_conjecture,(member(esk14_0,range(esk12_0,esk11_0,esk13_0))),inference(split_conjunct,[status(thm)],[154])).
% cnf(162,negated_conjecture,(~member(X1,domain(esk12_0,esk11_0,esk13_0))|~ilf_type(X1,member_type(esk12_0))),inference(split_conjunct,[status(thm)],[154])).
% cnf(168,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[89,56,theory(equality)])).
% cnf(169,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[168,theory(equality)])).
% cnf(174,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[126,56,theory(equality)])).
% cnf(175,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[174,theory(equality)])).
% cnf(180,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[143,56,theory(equality)])).
% cnf(181,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[180,56,theory(equality)])).
% cnf(182,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[181,theory(equality)])).
% cnf(187,plain,(empty(X2)|member(X1,X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[42,56,theory(equality)])).
% cnf(188,plain,(empty(X2)|member(X1,X2)|$false|$false|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[187,56,theory(equality)])).
% cnf(189,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,member_type(X2))),inference(cn,[status(thm)],[188,theory(equality)])).
% cnf(241,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[41,56,theory(equality)])).
% cnf(242,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[241,56,theory(equality)])).
% cnf(243,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[242,theory(equality)])).
% cnf(248,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[103,56,theory(equality)])).
% cnf(249,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|$false|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[248,56,theory(equality)])).
% cnf(250,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X2,subset_type(X1))),inference(cn,[status(thm)],[249,theory(equality)])).
% cnf(256,plain,(member(X3,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[84,56,theory(equality)])).
% cnf(257,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[256,56,theory(equality)])).
% cnf(258,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|$false|~member(X1,power_set(X2))),inference(rw,[status(thm)],[257,56,theory(equality)])).
% cnf(259,plain,(member(X3,X2)|~member(X3,X1)|~member(X1,power_set(X2))),inference(cn,[status(thm)],[258,theory(equality)])).
% cnf(263,plain,(domain(X1,X2,X3)=domain_of(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[93,56,theory(equality)])).
% cnf(264,plain,(domain(X1,X2,X3)=domain_of(X3)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[263,56,theory(equality)])).
% cnf(265,plain,(domain(X1,X2,X3)=domain_of(X3)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[264,theory(equality)])).
% cnf(266,negated_conjecture,(domain(esk12_0,esk11_0,esk13_0)=domain_of(esk13_0)),inference(spm,[status(thm)],[265,159,theory(equality)])).
% cnf(268,plain,(range(X1,X2,X3)=range_of(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[97,56,theory(equality)])).
% cnf(269,plain,(range(X1,X2,X3)=range_of(X3)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[268,56,theory(equality)])).
% cnf(270,plain,(range(X1,X2,X3)=range_of(X3)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[269,theory(equality)])).
% cnf(271,negated_conjecture,(range(esk12_0,esk11_0,esk13_0)=range_of(esk13_0)),inference(spm,[status(thm)],[270,159,theory(equality)])).
% cnf(284,plain,(member(esk10_2(X1,X2),domain_of(X2))|~ilf_type(X2,binary_relation_type)|$false|~member(X1,range_of(X2))),inference(rw,[status(thm)],[149,56,theory(equality)])).
% cnf(285,plain,(member(esk10_2(X1,X2),domain_of(X2))|~ilf_type(X2,binary_relation_type)|~member(X1,range_of(X2))),inference(cn,[status(thm)],[284,theory(equality)])).
% cnf(287,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[116,56,theory(equality)])).
% cnf(288,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[287,56,theory(equality)])).
% cnf(289,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[288,theory(equality)])).
% cnf(290,negated_conjecture,(ilf_type(esk13_0,subset_type(cross_product(esk12_0,esk11_0)))),inference(spm,[status(thm)],[289,159,theory(equality)])).
% cnf(292,plain,(ilf_type(domain(X1,X2,X3),subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[60,56,theory(equality)])).
% cnf(293,plain,(ilf_type(domain(X1,X2,X3),subset_type(X1))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[292,56,theory(equality)])).
% cnf(294,plain,(ilf_type(domain(X1,X2,X3),subset_type(X1))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[293,theory(equality)])).
% cnf(295,negated_conjecture,(ilf_type(domain(esk12_0,esk11_0,esk13_0),subset_type(esk12_0))),inference(spm,[status(thm)],[294,159,theory(equality)])).
% cnf(365,negated_conjecture,(~member(X1,domain_of(esk13_0))|~ilf_type(X1,member_type(esk12_0))),inference(rw,[status(thm)],[162,266,theory(equality)])).
% cnf(368,negated_conjecture,(member(esk14_0,range_of(esk13_0))),inference(rw,[status(thm)],[161,271,theory(equality)])).
% cnf(396,negated_conjecture,(relation_like(esk13_0)),inference(spm,[status(thm)],[182,290,theory(equality)])).
% cnf(403,negated_conjecture,(ilf_type(esk13_0,binary_relation_type)),inference(spm,[status(thm)],[175,396,theory(equality)])).
% cnf(405,negated_conjecture,(member(esk10_2(X1,esk13_0),domain_of(esk13_0))|~member(X1,range_of(esk13_0))),inference(spm,[status(thm)],[285,403,theory(equality)])).
% cnf(407,negated_conjecture,(member(esk10_2(esk14_0,esk13_0),domain_of(esk13_0))),inference(spm,[status(thm)],[405,368,theory(equality)])).
% cnf(420,negated_conjecture,(~ilf_type(esk10_2(esk14_0,esk13_0),member_type(esk12_0))),inference(spm,[status(thm)],[365,407,theory(equality)])).
% cnf(421,negated_conjecture,(ilf_type(domain_of(esk13_0),subset_type(esk12_0))),inference(rw,[status(thm)],[295,266,theory(equality)])).
% cnf(422,negated_conjecture,(ilf_type(domain_of(esk13_0),member_type(power_set(esk12_0)))),inference(spm,[status(thm)],[250,421,theory(equality)])).
% cnf(423,negated_conjecture,(member(domain_of(esk13_0),power_set(esk12_0))|empty(power_set(esk12_0))),inference(spm,[status(thm)],[189,422,theory(equality)])).
% cnf(425,negated_conjecture,(member(domain_of(esk13_0),power_set(esk12_0))),inference(sr,[status(thm)],[423,169,theory(equality)])).
% cnf(433,negated_conjecture,(member(X1,esk12_0)|~member(X1,domain_of(esk13_0))),inference(spm,[status(thm)],[259,425,theory(equality)])).
% cnf(456,negated_conjecture,(member(esk10_2(esk14_0,esk13_0),esk12_0)),inference(spm,[status(thm)],[433,407,theory(equality)])).
% cnf(479,negated_conjecture,(empty(esk12_0)|ilf_type(esk10_2(esk14_0,esk13_0),member_type(esk12_0))),inference(spm,[status(thm)],[243,456,theory(equality)])).
% cnf(482,negated_conjecture,(ilf_type(esk10_2(esk14_0,esk13_0),member_type(esk12_0))),inference(sr,[status(thm)],[479,158,theory(equality)])).
% cnf(483,negated_conjecture,($false),inference(sr,[status(thm)],[482,420,theory(equality)])).
% cnf(484,negated_conjecture,($false),483,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 125
% # ...of these trivial : 11
% # ...subsumed : 14
% # ...remaining for further processing: 100
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 8
% # Generated clauses : 172
% # ...of the previous two non-trivial : 158
% # Contextual simplify-reflections : 3
% # Paramodulations : 172
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 92
% # Positive orientable unit clauses: 33
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 7
% # Non-unit-clauses : 52
% # Current number of unprocessed clauses: 77
% # ...number of literals in the above : 154
% # Clause-clause subsumption calls (NU) : 74
% # Rec. Clause-clause subsumption calls : 64
% # Unit Clause-clause subsumption calls : 26
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 14
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 150 leaves, 1.16+/-0.433 terms/leaf
% # Paramod-from index: 47 leaves, 1.06+/-0.244 terms/leaf
% # Paramod-into index: 125 leaves, 1.14+/-0.394 terms/leaf
% # -------------------------------------------------
% # User time : 0.021 s
% # System time : 0.006 s
% # Total time : 0.027 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.12 CPU 0.20 WC
% FINAL PrfWatch: 0.12 CPU 0.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP12047/SET683+3.tptp
%
%------------------------------------------------------------------------------