TSTP Solution File: SET650+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET650+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 23:21:42 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/SystemOnTPTP632/SET650+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP632/SET650+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP632/SET650+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 728
% 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(3, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p26)).
% fof(4, 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', p10)).
% fof(10, 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(11, 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', p8)).
% 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)))=>relation_like(X3)))),file('/tmp/SRASS.s.p', p23)).
% fof(16, axiom,![X1]:(ilf_type(X1,binary_relation_type)=>![X2]:(ilf_type(X2,set_type)=>(member(X2,domain_of(X1))<=>?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X2,X3),X1))))),file('/tmp/SRASS.s.p', p4)).
% fof(17, axiom,![X1]:(ilf_type(X1,binary_relation_type)=>![X2]:(ilf_type(X2,set_type)=>(member(X2,range_of(X1))<=>?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X3,X2),X1))))),file('/tmp/SRASS.s.p', p6)).
% fof(18, 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(27, conjecture,![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', prove_relset_1_12)).
% fof(28, negated_conjecture,~(![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(assume_negation,[status(cth)],[27])).
% fof(41, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[3])).
% cnf(42,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(subset(X1,X2))|![X3]:(~(ilf_type(X3,set_type))|(~(member(X3,X1))|member(X3,X2))))&(?[X3]:(ilf_type(X3,set_type)&(member(X3,X1)&~(member(X3,X2))))|subset(X1,X2))))),inference(fof_nnf,[status(thm)],[4])).
% fof(44, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(subset(X4,X5))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5))))&(?[X7]:(ilf_type(X7,set_type)&(member(X7,X4)&~(member(X7,X5))))|subset(X4,X5))))),inference(variable_rename,[status(thm)],[43])).
% fof(45, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|((~(subset(X4,X5))|![X6]:(~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5))))&((ilf_type(esk2_2(X4,X5),set_type)&(member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5))))|subset(X4,X5))))),inference(skolemize,[status(esa)],[44])).
% fof(46, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))&((ilf_type(esk2_2(X4,X5),set_type)&(member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5))))|subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((ilf_type(esk2_2(X4,X5),set_type)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk2_2(X4,X5),X4)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk2_2(X4,X5),X5))|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[46])).
% cnf(48,plain,(subset(X1,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk2_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[47])).
% cnf(49,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[47])).
% fof(69, 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)],[10])).
% fof(70, 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)],[69])).
% fof(71, 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)],[70])).
% fof(72, 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)],[71])).
% cnf(73,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)],[72])).
% cnf(74,plain,(member(X3,X1)|~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)],[72])).
% fof(75, 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)],[11])).
% fof(76, 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)],[75])).
% fof(77, 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)],[76])).
% fof(78, 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)],[77])).
% cnf(80,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)],[78])).
% fof(81, 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)],[12])).
% fof(82, 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)],[81])).
% fof(83, 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)],[82])).
% cnf(84,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)],[83])).
% fof(105, plain,![X1]:(~(ilf_type(X1,binary_relation_type))|![X2]:(~(ilf_type(X2,set_type))|((~(member(X2,domain_of(X1)))|?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X2,X3),X1)))&(![X3]:(~(ilf_type(X3,set_type))|~(member(ordered_pair(X2,X3),X1)))|member(X2,domain_of(X1)))))),inference(fof_nnf,[status(thm)],[16])).
% fof(106, plain,![X4]:(~(ilf_type(X4,binary_relation_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X5,domain_of(X4)))|?[X6]:(ilf_type(X6,set_type)&member(ordered_pair(X5,X6),X4)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X5,X7),X4)))|member(X5,domain_of(X4)))))),inference(variable_rename,[status(thm)],[105])).
% fof(107, plain,![X4]:(~(ilf_type(X4,binary_relation_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X5,domain_of(X4)))|(ilf_type(esk7_2(X4,X5),set_type)&member(ordered_pair(X5,esk7_2(X4,X5)),X4)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X5,X7),X4)))|member(X5,domain_of(X4)))))),inference(skolemize,[status(esa)],[106])).
% fof(108, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X5,X7),X4)))|member(X5,domain_of(X4)))&(~(member(X5,domain_of(X4)))|(ilf_type(esk7_2(X4,X5),set_type)&member(ordered_pair(X5,esk7_2(X4,X5)),X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type))),inference(shift_quantors,[status(thm)],[107])).
% fof(109, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X5,X7),X4)))|member(X5,domain_of(X4)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type)))&((((ilf_type(esk7_2(X4,X5),set_type)|~(member(X5,domain_of(X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type)))&(((member(ordered_pair(X5,esk7_2(X4,X5)),X4)|~(member(X5,domain_of(X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type))))),inference(distribute,[status(thm)],[108])).
% cnf(110,plain,(member(ordered_pair(X2,esk7_2(X1,X2)),X1)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,set_type)|~member(X2,domain_of(X1))),inference(split_conjunct,[status(thm)],[109])).
% fof(113, plain,![X1]:(~(ilf_type(X1,binary_relation_type))|![X2]:(~(ilf_type(X2,set_type))|((~(member(X2,range_of(X1)))|?[X3]:(ilf_type(X3,set_type)&member(ordered_pair(X3,X2),X1)))&(![X3]:(~(ilf_type(X3,set_type))|~(member(ordered_pair(X3,X2),X1)))|member(X2,range_of(X1)))))),inference(fof_nnf,[status(thm)],[17])).
% fof(114, plain,![X4]:(~(ilf_type(X4,binary_relation_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X5,range_of(X4)))|?[X6]:(ilf_type(X6,set_type)&member(ordered_pair(X6,X5),X4)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X7,X5),X4)))|member(X5,range_of(X4)))))),inference(variable_rename,[status(thm)],[113])).
% fof(115, plain,![X4]:(~(ilf_type(X4,binary_relation_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X5,range_of(X4)))|(ilf_type(esk8_2(X4,X5),set_type)&member(ordered_pair(esk8_2(X4,X5),X5),X4)))&(![X7]:(~(ilf_type(X7,set_type))|~(member(ordered_pair(X7,X5),X4)))|member(X5,range_of(X4)))))),inference(skolemize,[status(esa)],[114])).
% fof(116, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X7,X5),X4)))|member(X5,range_of(X4)))&(~(member(X5,range_of(X4)))|(ilf_type(esk8_2(X4,X5),set_type)&member(ordered_pair(esk8_2(X4,X5),X5),X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type))),inference(shift_quantors,[status(thm)],[115])).
% fof(117, plain,![X4]:![X5]:![X7]:(((((~(ilf_type(X7,set_type))|~(member(ordered_pair(X7,X5),X4)))|member(X5,range_of(X4)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type)))&((((ilf_type(esk8_2(X4,X5),set_type)|~(member(X5,range_of(X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type)))&(((member(ordered_pair(esk8_2(X4,X5),X5),X4)|~(member(X5,range_of(X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type))))),inference(distribute,[status(thm)],[116])).
% cnf(118,plain,(member(ordered_pair(esk8_2(X1,X2),X2),X1)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,set_type)|~member(X2,range_of(X1))),inference(split_conjunct,[status(thm)],[117])).
% fof(121, 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)],[18])).
% fof(122, 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)],[121])).
% fof(123, 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)],[122])).
% cnf(124,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)],[123])).
% fof(179, negated_conjecture,?[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)],[28])).
% fof(180, negated_conjecture,?[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)],[179])).
% fof(181, negated_conjecture,(ilf_type(esk15_0,set_type)&(ilf_type(esk16_0,set_type)&(ilf_type(esk17_0,relation_type(esk15_0,esk16_0))&(~(subset(domain_of(esk17_0),esk15_0))|~(subset(range_of(esk17_0),esk16_0)))))),inference(skolemize,[status(esa)],[180])).
% cnf(182,negated_conjecture,(~subset(range_of(esk17_0),esk16_0)|~subset(domain_of(esk17_0),esk15_0)),inference(split_conjunct,[status(thm)],[181])).
% cnf(183,negated_conjecture,(ilf_type(esk17_0,relation_type(esk15_0,esk16_0))),inference(split_conjunct,[status(thm)],[181])).
% cnf(195,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[124,42,theory(equality)])).
% cnf(196,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[195,theory(equality)])).
% cnf(235,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[49,42,theory(equality)])).
% cnf(236,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[235,42,theory(equality)])).
% cnf(237,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)),inference(cn,[status(thm)],[236,theory(equality)])).
% cnf(238,plain,(subset(X1,X2)|$false|~ilf_type(X1,set_type)|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[48,42,theory(equality)])).
% cnf(239,plain,(subset(X1,X2)|$false|$false|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[238,42,theory(equality)])).
% cnf(240,plain,(subset(X1,X2)|~member(esk2_2(X1,X2),X2)),inference(cn,[status(thm)],[239,theory(equality)])).
% cnf(244,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[84,42,theory(equality)])).
% cnf(245,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[244,42,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(270,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[80,42,theory(equality)])).
% cnf(271,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[270,42,theory(equality)])).
% cnf(272,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(301,plain,(member(ordered_pair(X2,esk7_2(X1,X2)),X1)|$false|~ilf_type(X1,binary_relation_type)|~member(X2,domain_of(X1))),inference(rw,[status(thm)],[110,42,theory(equality)])).
% cnf(302,plain,(member(ordered_pair(X2,esk7_2(X1,X2)),X1)|~ilf_type(X1,binary_relation_type)|~member(X2,domain_of(X1))),inference(cn,[status(thm)],[301,theory(equality)])).
% cnf(307,plain,(member(ordered_pair(esk8_2(X1,X2),X2),X1)|$false|~ilf_type(X1,binary_relation_type)|~member(X2,range_of(X1))),inference(rw,[status(thm)],[118,42,theory(equality)])).
% cnf(308,plain,(member(ordered_pair(esk8_2(X1,X2),X2),X1)|~ilf_type(X1,binary_relation_type)|~member(X2,range_of(X1))),inference(cn,[status(thm)],[307,theory(equality)])).
% cnf(328,plain,(member(X4,X2)|$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)],[73,42,theory(equality)])).
% cnf(329,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)],[328,42,theory(equality)])).
% cnf(330,plain,(member(X4,X2)|$false|$false|$false|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[329,42,theory(equality)])).
% cnf(331,plain,(member(X4,X2)|$false|$false|$false|$false|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[330,42,theory(equality)])).
% cnf(332,plain,(member(X4,X2)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(cn,[status(thm)],[331,theory(equality)])).
% cnf(333,plain,(member(X3,X1)|$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)],[74,42,theory(equality)])).
% cnf(334,plain,(member(X3,X1)|$false|$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)],[333,42,theory(equality)])).
% cnf(335,plain,(member(X3,X1)|$false|$false|$false|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[334,42,theory(equality)])).
% cnf(336,plain,(member(X3,X1)|$false|$false|$false|$false|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[335,42,theory(equality)])).
% cnf(337,plain,(member(X3,X1)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(cn,[status(thm)],[336,theory(equality)])).
% cnf(353,plain,(relation_like(X1)|~ilf_type(X1,relation_type(X2,X3))),inference(spm,[status(thm)],[246,272,theory(equality)])).
% cnf(364,negated_conjecture,(member(X1,esk16_0)|~member(ordered_pair(X2,X1),esk17_0)),inference(spm,[status(thm)],[332,183,theory(equality)])).
% cnf(385,negated_conjecture,(member(X1,esk15_0)|~member(ordered_pair(X1,X2),esk17_0)),inference(spm,[status(thm)],[337,183,theory(equality)])).
% cnf(436,negated_conjecture,(relation_like(esk17_0)),inference(spm,[status(thm)],[353,183,theory(equality)])).
% cnf(442,negated_conjecture,(ilf_type(esk17_0,binary_relation_type)),inference(spm,[status(thm)],[196,436,theory(equality)])).
% cnf(538,negated_conjecture,(member(X1,esk16_0)|~member(X1,range_of(esk17_0))|~ilf_type(esk17_0,binary_relation_type)),inference(spm,[status(thm)],[364,308,theory(equality)])).
% cnf(542,negated_conjecture,(member(X1,esk16_0)|~member(X1,range_of(esk17_0))|$false),inference(rw,[status(thm)],[538,442,theory(equality)])).
% cnf(543,negated_conjecture,(member(X1,esk16_0)|~member(X1,range_of(esk17_0))),inference(cn,[status(thm)],[542,theory(equality)])).
% cnf(555,negated_conjecture,(member(esk2_2(range_of(esk17_0),X1),esk16_0)|subset(range_of(esk17_0),X1)),inference(spm,[status(thm)],[543,237,theory(equality)])).
% cnf(650,negated_conjecture,(subset(range_of(esk17_0),esk16_0)),inference(spm,[status(thm)],[240,555,theory(equality)])).
% cnf(652,negated_conjecture,(~subset(domain_of(esk17_0),esk15_0)|$false),inference(rw,[status(thm)],[182,650,theory(equality)])).
% cnf(653,negated_conjecture,(~subset(domain_of(esk17_0),esk15_0)),inference(cn,[status(thm)],[652,theory(equality)])).
% cnf(817,negated_conjecture,(member(X1,esk15_0)|~member(X1,domain_of(esk17_0))|~ilf_type(esk17_0,binary_relation_type)),inference(spm,[status(thm)],[385,302,theory(equality)])).
% cnf(823,negated_conjecture,(member(X1,esk15_0)|~member(X1,domain_of(esk17_0))|$false),inference(rw,[status(thm)],[817,442,theory(equality)])).
% cnf(824,negated_conjecture,(member(X1,esk15_0)|~member(X1,domain_of(esk17_0))),inference(cn,[status(thm)],[823,theory(equality)])).
% cnf(839,negated_conjecture,(member(esk2_2(domain_of(esk17_0),X1),esk15_0)|subset(domain_of(esk17_0),X1)),inference(spm,[status(thm)],[824,237,theory(equality)])).
% cnf(872,negated_conjecture,(subset(domain_of(esk17_0),esk15_0)),inference(spm,[status(thm)],[240,839,theory(equality)])).
% cnf(873,negated_conjecture,($false),inference(sr,[status(thm)],[872,653,theory(equality)])).
% cnf(874,negated_conjecture,($false),873,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 268
% # ...of these trivial : 15
% # ...subsumed : 62
% # ...remaining for further processing: 191
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 3
% # Generated clauses : 468
% # ...of the previous two non-trivial : 448
% # Contextual simplify-reflections : 3
% # Paramodulations : 468
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 150
% # Positive orientable unit clauses: 33
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 111
% # Current number of unprocessed clauses: 275
% # ...number of literals in the above : 858
% # Clause-clause subsumption calls (NU) : 248
% # Rec. Clause-clause subsumption calls : 234
% # Unit Clause-clause subsumption calls : 123
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 13
% # Indexed BW rewrite successes : 3
% # Backwards rewriting index: 199 leaves, 1.25+/-0.670 terms/leaf
% # Paramod-from index: 92 leaves, 1.10+/-0.297 terms/leaf
% # Paramod-into index: 184 leaves, 1.20+/-0.569 terms/leaf
% # -------------------------------------------------
% # User time : 0.041 s
% # System time : 0.003 s
% # Total time : 0.044 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.21 WC
% FINAL PrfWatch: 0.14 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP632/SET650+3.tptp
%
%------------------------------------------------------------------------------