TSTP Solution File: SET680+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET680+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 23:28:25 EST 2010
% Result : Theorem 0.96s
% Output : Solution 0.96s
% 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/SystemOnTPTP11269/SET680+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11269/SET680+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11269/SET680+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 11365
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.019 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)=>![X4]:(ilf_type(X4,set_type)=>![X5]:(ilf_type(X5,relation_type(X1,X2))=>(member(ordered_pair(X3,X4),X5)=>(member(X3,X1)&member(X4,X2)))))))),file('/tmp/SRASS.s.p', p3)).
% fof(4, 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', p8)).
% fof(7, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p31)).
% fof(9, 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', p27)).
% fof(13, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,binary_relation_type)=>(member(X1,domain_of(X2))<=>?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X1,X3),X2))))),file('/tmp/SRASS.s.p', p1)).
% fof(18, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,binary_relation_type)=>(member(ordered_pair(X1,X2),X3)=>(member(X1,domain_of(X3))&member(X2,range_of(X3))))))),file('/tmp/SRASS.s.p', p2)).
% 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)))=>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', p6)).
% fof(26, 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', p17)).
% fof(31, 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', p26)).
% fof(32, conjecture,![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,domain(X1,X2,X3))<=>?[X5]:(ilf_type(X5,member_type(X2))&member(ordered_pair(X4,X5),X3))))))),file('/tmp/SRASS.s.p', prove_relset_1_47)).
% fof(33, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,domain(X1,X2,X3))<=>?[X5]:(ilf_type(X5,member_type(X2))&member(ordered_pair(X4,X5),X3)))))))),inference(assume_negation,[status(cth)],[32])).
% fof(34, 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)],[4,theory(equality)])).
% fof(38, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>![X4]:(ilf_type(X4,member_type(X1))=>(member(X4,domain(X1,X2,X3))<=>?[X5]:(ilf_type(X5,member_type(X2))&member(ordered_pair(X4,X5),X3)))))))),inference(fof_simplification,[status(thm)],[33,theory(equality)])).
% fof(39, 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))|![X5]:(~(ilf_type(X5,relation_type(X1,X2)))|(~(member(ordered_pair(X3,X4),X5))|(member(X3,X1)&member(X4,X2)))))))),inference(fof_nnf,[status(thm)],[1])).
% fof(40, plain,![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|![X9]:(~(ilf_type(X9,set_type))|![X10]:(~(ilf_type(X10,relation_type(X6,X7)))|(~(member(ordered_pair(X8,X9),X10))|(member(X8,X6)&member(X9,X7)))))))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((~(ilf_type(X10,relation_type(X6,X7)))|(~(member(ordered_pair(X8,X9),X10))|(member(X8,X6)&member(X9,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((member(X8,X6)|~(member(ordered_pair(X8,X9),X10)))|~(ilf_type(X10,relation_type(X6,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))&((((((member(X9,X7)|~(member(ordered_pair(X8,X9),X10)))|~(ilf_type(X10,relation_type(X6,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))),inference(distribute,[status(thm)],[41])).
% cnf(43,plain,(member(X4,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(split_conjunct,[status(thm)],[42])).
% fof(54, 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)],[34])).
% fof(55, 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)],[54])).
% fof(56, 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)],[55])).
% fof(57, 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)],[56])).
% cnf(58,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)],[57])).
% fof(72, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[7])).
% cnf(73,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[72])).
% fof(78, 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)],[9])).
% fof(79, 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)],[78])).
% fof(80, 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)],[79])).
% cnf(81,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)],[80])).
% fof(92, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,binary_relation_type))|((~(member(X1,domain_of(X2)))|?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X1,X3),X2)))&(![X3]:(~(ilf_type(X3,set_type))|~(member(ordered_pair(X1,X3),X2)))|member(X1,domain_of(X2)))))),inference(fof_nnf,[status(thm)],[13])).
% fof(93, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,binary_relation_type))|((~(member(X4,domain_of(X5)))|?[X6]:(ilf_type(X6,set_type)&member(ordered_pair(X4,X6),X5)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X4,X7),X5)))|member(X4,domain_of(X5)))))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,binary_relation_type))|((~(member(X4,domain_of(X5)))|(ilf_type(esk6_2(X4,X5),set_type)&member(ordered_pair(X4,esk6_2(X4,X5)),X5)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X4,X7),X5)))|member(X4,domain_of(X5)))))),inference(skolemize,[status(esa)],[93])).
% fof(95, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X4,X7),X5)))|member(X4,domain_of(X5)))&(~(member(X4,domain_of(X5)))|(ilf_type(esk6_2(X4,X5),set_type)&member(ordered_pair(X4,esk6_2(X4,X5)),X5))))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[94])).
% fof(96, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X4,X7),X5)))|member(X4,domain_of(X5)))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type)))&((((ilf_type(esk6_2(X4,X5),set_type)|~(member(X4,domain_of(X5))))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type)))&(((member(ordered_pair(X4,esk6_2(X4,X5)),X5)|~(member(X4,domain_of(X5))))|~(ilf_type(X5,binary_relation_type)))|~(ilf_type(X4,set_type))))),inference(distribute,[status(thm)],[95])).
% cnf(97,plain,(member(ordered_pair(X1,esk6_2(X1,X2)),X2)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,domain_of(X2))),inference(split_conjunct,[status(thm)],[96])).
% fof(135, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,binary_relation_type))|(~(member(ordered_pair(X1,X2),X3))|(member(X1,domain_of(X3))&member(X2,range_of(X3))))))),inference(fof_nnf,[status(thm)],[18])).
% fof(136, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,binary_relation_type))|(~(member(ordered_pair(X4,X5),X6))|(member(X4,domain_of(X6))&member(X5,range_of(X6))))))),inference(variable_rename,[status(thm)],[135])).
% fof(137, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,binary_relation_type))|(~(member(ordered_pair(X4,X5),X6))|(member(X4,domain_of(X6))&member(X5,range_of(X6)))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[136])).
% fof(138, plain,![X4]:![X5]:![X6]:(((((member(X4,domain_of(X6))|~(member(ordered_pair(X4,X5),X6)))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(X5,range_of(X6))|~(member(ordered_pair(X4,X5),X6)))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))),inference(distribute,[status(thm)],[137])).
% cnf(140,plain,(member(X1,domain_of(X3))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X1,X2),X3)),inference(split_conjunct,[status(thm)],[138])).
% fof(158, 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)],[23])).
% fof(159, 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)],[158])).
% fof(160, 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)],[159])).
% fof(161, 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)],[160])).
% cnf(163,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)],[161])).
% fof(171, 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)],[26])).
% fof(172, 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)],[171])).
% fof(173, 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)],[172])).
% cnf(174,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)],[173])).
% fof(194, 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)],[31])).
% fof(195, 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)],[194])).
% fof(196, 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)],[195])).
% cnf(197,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)],[196])).
% fof(198, negated_conjecture,?[X1]:((~(empty(X1))&ilf_type(X1,set_type))&?[X2]:((~(empty(X2))&ilf_type(X2,set_type))&?[X3]:(ilf_type(X3,relation_type(X1,X2))&?[X4]:(ilf_type(X4,member_type(X1))&((~(member(X4,domain(X1,X2,X3)))|![X5]:(~(ilf_type(X5,member_type(X2)))|~(member(ordered_pair(X4,X5),X3))))&(member(X4,domain(X1,X2,X3))|?[X5]:(ilf_type(X5,member_type(X2))&member(ordered_pair(X4,X5),X3)))))))),inference(fof_nnf,[status(thm)],[38])).
% fof(199, negated_conjecture,?[X6]:((~(empty(X6))&ilf_type(X6,set_type))&?[X7]:((~(empty(X7))&ilf_type(X7,set_type))&?[X8]:(ilf_type(X8,relation_type(X6,X7))&?[X9]:(ilf_type(X9,member_type(X6))&((~(member(X9,domain(X6,X7,X8)))|![X10]:(~(ilf_type(X10,member_type(X7)))|~(member(ordered_pair(X9,X10),X8))))&(member(X9,domain(X6,X7,X8))|?[X11]:(ilf_type(X11,member_type(X7))&member(ordered_pair(X9,X11),X8)))))))),inference(variable_rename,[status(thm)],[198])).
% fof(200, negated_conjecture,((~(empty(esk12_0))&ilf_type(esk12_0,set_type))&((~(empty(esk13_0))&ilf_type(esk13_0,set_type))&(ilf_type(esk14_0,relation_type(esk12_0,esk13_0))&(ilf_type(esk15_0,member_type(esk12_0))&((~(member(esk15_0,domain(esk12_0,esk13_0,esk14_0)))|![X10]:(~(ilf_type(X10,member_type(esk13_0)))|~(member(ordered_pair(esk15_0,X10),esk14_0))))&(member(esk15_0,domain(esk12_0,esk13_0,esk14_0))|(ilf_type(esk16_0,member_type(esk13_0))&member(ordered_pair(esk15_0,esk16_0),esk14_0)))))))),inference(skolemize,[status(esa)],[199])).
% fof(201, negated_conjecture,![X10]:(((((((~(ilf_type(X10,member_type(esk13_0)))|~(member(ordered_pair(esk15_0,X10),esk14_0)))|~(member(esk15_0,domain(esk12_0,esk13_0,esk14_0))))&(member(esk15_0,domain(esk12_0,esk13_0,esk14_0))|(ilf_type(esk16_0,member_type(esk13_0))&member(ordered_pair(esk15_0,esk16_0),esk14_0))))&ilf_type(esk15_0,member_type(esk12_0)))&ilf_type(esk14_0,relation_type(esk12_0,esk13_0)))&(~(empty(esk13_0))&ilf_type(esk13_0,set_type)))&(~(empty(esk12_0))&ilf_type(esk12_0,set_type))),inference(shift_quantors,[status(thm)],[200])).
% fof(202, negated_conjecture,![X10]:(((((((~(ilf_type(X10,member_type(esk13_0)))|~(member(ordered_pair(esk15_0,X10),esk14_0)))|~(member(esk15_0,domain(esk12_0,esk13_0,esk14_0))))&((ilf_type(esk16_0,member_type(esk13_0))|member(esk15_0,domain(esk12_0,esk13_0,esk14_0)))&(member(ordered_pair(esk15_0,esk16_0),esk14_0)|member(esk15_0,domain(esk12_0,esk13_0,esk14_0)))))&ilf_type(esk15_0,member_type(esk12_0)))&ilf_type(esk14_0,relation_type(esk12_0,esk13_0)))&(~(empty(esk13_0))&ilf_type(esk13_0,set_type)))&(~(empty(esk12_0))&ilf_type(esk12_0,set_type))),inference(distribute,[status(thm)],[201])).
% cnf(206,negated_conjecture,(~empty(esk13_0)),inference(split_conjunct,[status(thm)],[202])).
% cnf(207,negated_conjecture,(ilf_type(esk14_0,relation_type(esk12_0,esk13_0))),inference(split_conjunct,[status(thm)],[202])).
% cnf(209,negated_conjecture,(member(esk15_0,domain(esk12_0,esk13_0,esk14_0))|member(ordered_pair(esk15_0,esk16_0),esk14_0)),inference(split_conjunct,[status(thm)],[202])).
% cnf(211,negated_conjecture,(~member(esk15_0,domain(esk12_0,esk13_0,esk14_0))|~member(ordered_pair(esk15_0,X1),esk14_0)|~ilf_type(X1,member_type(esk13_0))),inference(split_conjunct,[status(thm)],[202])).
% cnf(223,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[174,73,theory(equality)])).
% cnf(224,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[223,theory(equality)])).
% cnf(229,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[197,73,theory(equality)])).
% cnf(230,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[229,73,theory(equality)])).
% cnf(231,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[230,theory(equality)])).
% cnf(300,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[58,73,theory(equality)])).
% cnf(301,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[300,73,theory(equality)])).
% cnf(302,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[301,theory(equality)])).
% cnf(313,plain,(domain(X1,X2,X3)=domain_of(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[81,73,theory(equality)])).
% cnf(314,plain,(domain(X1,X2,X3)=domain_of(X3)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[313,73,theory(equality)])).
% cnf(315,plain,(domain(X1,X2,X3)=domain_of(X3)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[314,theory(equality)])).
% cnf(316,negated_conjecture,(domain(esk12_0,esk13_0,esk14_0)=domain_of(esk14_0)),inference(spm,[status(thm)],[315,207,theory(equality)])).
% cnf(351,plain,(member(ordered_pair(X1,esk6_2(X1,X2)),X2)|~ilf_type(X2,binary_relation_type)|$false|~member(X1,domain_of(X2))),inference(rw,[status(thm)],[97,73,theory(equality)])).
% cnf(352,plain,(member(ordered_pair(X1,esk6_2(X1,X2)),X2)|~ilf_type(X2,binary_relation_type)|~member(X1,domain_of(X2))),inference(cn,[status(thm)],[351,theory(equality)])).
% cnf(354,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[163,73,theory(equality)])).
% cnf(355,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[354,73,theory(equality)])).
% cnf(356,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[355,theory(equality)])).
% cnf(357,negated_conjecture,(ilf_type(esk14_0,subset_type(cross_product(esk12_0,esk13_0)))),inference(spm,[status(thm)],[356,207,theory(equality)])).
% cnf(393,plain,(member(X1,domain_of(X3))|~ilf_type(X3,binary_relation_type)|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),X3)),inference(rw,[status(thm)],[140,73,theory(equality)])).
% cnf(394,plain,(member(X1,domain_of(X3))|~ilf_type(X3,binary_relation_type)|$false|$false|~member(ordered_pair(X1,X2),X3)),inference(rw,[status(thm)],[393,73,theory(equality)])).
% cnf(395,plain,(member(X1,domain_of(X3))|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X1,X2),X3)),inference(cn,[status(thm)],[394,theory(equality)])).
% cnf(400,plain,(member(X4,X2)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[43,73,theory(equality)])).
% cnf(401,plain,(member(X4,X2)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[400,73,theory(equality)])).
% cnf(402,plain,(member(X4,X2)|$false|$false|$false|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[401,73,theory(equality)])).
% cnf(403,plain,(member(X4,X2)|$false|$false|$false|$false|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[402,73,theory(equality)])).
% cnf(404,plain,(member(X4,X2)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(cn,[status(thm)],[403,theory(equality)])).
% cnf(405,negated_conjecture,(member(X1,esk13_0)|~member(ordered_pair(X2,X1),esk14_0)),inference(spm,[status(thm)],[404,207,theory(equality)])).
% cnf(440,negated_conjecture,(~member(esk15_0,domain_of(esk14_0))|~member(ordered_pair(esk15_0,X1),esk14_0)|~ilf_type(X1,member_type(esk13_0))),inference(rw,[status(thm)],[211,316,theory(equality)])).
% cnf(441,negated_conjecture,(member(esk15_0,domain_of(esk14_0))|member(ordered_pair(esk15_0,esk16_0),esk14_0)),inference(rw,[status(thm)],[209,316,theory(equality)])).
% cnf(444,negated_conjecture,(relation_like(esk14_0)),inference(spm,[status(thm)],[231,357,theory(equality)])).
% cnf(447,negated_conjecture,(ilf_type(esk14_0,binary_relation_type)),inference(spm,[status(thm)],[224,444,theory(equality)])).
% cnf(457,negated_conjecture,(member(X1,domain_of(esk14_0))|~member(ordered_pair(X1,X2),esk14_0)),inference(spm,[status(thm)],[395,447,theory(equality)])).
% cnf(458,negated_conjecture,(member(ordered_pair(X1,esk6_2(X1,esk14_0)),esk14_0)|~member(X1,domain_of(esk14_0))),inference(spm,[status(thm)],[352,447,theory(equality)])).
% cnf(598,negated_conjecture,(member(esk15_0,domain_of(esk14_0))),inference(csr,[status(thm)],[441,457])).
% cnf(603,negated_conjecture,(~member(ordered_pair(esk15_0,X1),esk14_0)|$false|~ilf_type(X1,member_type(esk13_0))),inference(rw,[status(thm)],[440,598,theory(equality)])).
% cnf(604,negated_conjecture,(~member(ordered_pair(esk15_0,X1),esk14_0)|~ilf_type(X1,member_type(esk13_0))),inference(cn,[status(thm)],[603,theory(equality)])).
% cnf(757,negated_conjecture,(member(ordered_pair(esk15_0,esk6_2(esk15_0,esk14_0)),esk14_0)),inference(spm,[status(thm)],[458,598,theory(equality)])).
% cnf(776,negated_conjecture,(member(esk6_2(esk15_0,esk14_0),esk13_0)),inference(spm,[status(thm)],[405,757,theory(equality)])).
% cnf(786,negated_conjecture,(empty(esk13_0)|ilf_type(esk6_2(esk15_0,esk14_0),member_type(esk13_0))),inference(spm,[status(thm)],[302,776,theory(equality)])).
% cnf(788,negated_conjecture,(ilf_type(esk6_2(esk15_0,esk14_0),member_type(esk13_0))),inference(sr,[status(thm)],[786,206,theory(equality)])).
% cnf(810,negated_conjecture,(~member(ordered_pair(esk15_0,esk6_2(esk15_0,esk14_0)),esk14_0)),inference(spm,[status(thm)],[604,788,theory(equality)])).
% cnf(812,negated_conjecture,($false),inference(rw,[status(thm)],[810,757,theory(equality)])).
% cnf(813,negated_conjecture,($false),inference(cn,[status(thm)],[812,theory(equality)])).
% cnf(814,negated_conjecture,($false),813,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 216
% # ...of these trivial : 14
% # ...subsumed : 43
% # ...remaining for further processing: 159
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 8
% # Generated clauses : 358
% # ...of the previous two non-trivial : 322
% # Contextual simplify-reflections : 4
% # Paramodulations : 348
% # Factorizations : 2
% # Equation resolutions : 5
% # Current number of processed clauses: 147
% # Positive orientable unit clauses: 57
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 9
% # Non-unit-clauses : 80
% # Current number of unprocessed clauses: 151
% # ...number of literals in the above : 336
% # Clause-clause subsumption calls (NU) : 265
% # Rec. Clause-clause subsumption calls : 241
% # Unit Clause-clause subsumption calls : 37
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 27
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 223 leaves, 1.25+/-0.732 terms/leaf
% # Paramod-from index: 75 leaves, 1.05+/-0.225 terms/leaf
% # Paramod-into index: 177 leaves, 1.25+/-0.765 terms/leaf
% # -------------------------------------------------
% # User time : 0.035 s
% # System time : 0.005 s
% # Total time : 0.040 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.23 WC
% FINAL PrfWatch: 0.14 CPU 0.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP11269/SET680+3.tptp
%
%------------------------------------------------------------------------------