TSTP Solution File: SET669+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET669+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 : art05.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 23:24:22 EST 2010
% Result : Theorem 0.97s
% Output : Solution 0.97s
% 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/SystemOnTPTP3574/SET669+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3574/SET669+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3574/SET669+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 3670
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.020 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)=>((subset(X1,X2)&subset(X2,X1))=>X1=X2))),file('/tmp/SRASS.s.p', p1)).
% fof(2, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,relation_type(X1,X2))=>(subset(identity_relation_of(X3),X4)=>(subset(X3,domain(X1,X2,X4))&subset(X3,range(X1,X2,X4)))))))),file('/tmp/SRASS.s.p', p2)).
% fof(6, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p32)).
% fof(8, 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', p30)).
% fof(10, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>ilf_type(range(X1,X2,X3),subset_type(X2))))),file('/tmp/SRASS.s.p', p31)).
% fof(13, 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', p7)).
% fof(26, 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(27, 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(30, axiom,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),file('/tmp/SRASS.s.p', p21)).
% fof(32, 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', p16)).
% fof(33, conjecture,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>(subset(identity_relation_of(X2),X3)=>(subset(X2,domain(X1,X2,X3))&X2=range(X1,X2,X3)))))),file('/tmp/SRASS.s.p', prove_relset_1_32)).
% fof(34, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>(subset(identity_relation_of(X2),X3)=>(subset(X2,domain(X1,X2,X3))&X2=range(X1,X2,X3))))))),inference(assume_negation,[status(cth)],[33])).
% fof(36, 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)],[27,theory(equality)])).
% fof(37, plain,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_simplification,[status(thm)],[30,theory(equality)])).
% fof(39, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(40, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X3]:![X4]:((~(ilf_type(X4,set_type))|((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[40])).
% cnf(42,plain,(X1=X2|~ilf_type(X1,set_type)|~subset(X2,X1)|~subset(X1,X2)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,relation_type(X1,X2)))|(~(subset(identity_relation_of(X3),X4))|(subset(X3,domain(X1,X2,X4))&subset(X3,range(X1,X2,X4)))))))),inference(fof_nnf,[status(thm)],[2])).
% fof(44, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,relation_type(X5,X6)))|(~(subset(identity_relation_of(X7),X8))|(subset(X7,domain(X5,X6,X8))&subset(X7,range(X5,X6,X8)))))))),inference(variable_rename,[status(thm)],[43])).
% fof(45, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,relation_type(X5,X6)))|(~(subset(identity_relation_of(X7),X8))|(subset(X7,domain(X5,X6,X8))&subset(X7,range(X5,X6,X8)))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[44])).
% fof(46, plain,![X5]:![X6]:![X7]:![X8]:((((((subset(X7,domain(X5,X6,X8))|~(subset(identity_relation_of(X7),X8)))|~(ilf_type(X8,relation_type(X5,X6))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&(((((subset(X7,range(X5,X6,X8))|~(subset(identity_relation_of(X7),X8)))|~(ilf_type(X8,relation_type(X5,X6))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))),inference(distribute,[status(thm)],[45])).
% cnf(47,plain,(subset(X3,range(X1,X2,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X1,X2))|~subset(identity_relation_of(X3),X4)),inference(split_conjunct,[status(thm)],[46])).
% cnf(48,plain,(subset(X3,domain(X1,X2,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X1,X2))|~subset(identity_relation_of(X3),X4)),inference(split_conjunct,[status(thm)],[46])).
% fof(64, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[6])).
% cnf(65,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[64])).
% fof(70, 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)],[8])).
% fof(71, 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)],[70])).
% fof(72, 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)],[71])).
% cnf(73,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)],[72])).
% fof(78, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,relation_type(X1,X2)))|ilf_type(range(X1,X2,X3),subset_type(X2))))),inference(fof_nnf,[status(thm)],[10])).
% fof(79, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,relation_type(X4,X5)))|ilf_type(range(X4,X5,X6),subset_type(X5))))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,relation_type(X4,X5)))|ilf_type(range(X4,X5,X6),subset_type(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[79])).
% cnf(81,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|~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,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)],[13])).
% fof(93, 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)],[92])).
% fof(94, 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)],[93])).
% fof(95, 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)],[94])).
% fof(96, 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)],[95])).
% cnf(97,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)],[96])).
% cnf(98,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)],[96])).
% fof(166, 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)],[26])).
% fof(167, 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)],[166])).
% fof(168, 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)],[167])).
% fof(169, 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)],[168])).
% fof(170, 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)],[169])).
% cnf(174,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)],[170])).
% fof(175, 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)],[36])).
% fof(176, 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)],[175])).
% fof(177, 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)],[176])).
% fof(178, 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)],[177])).
% cnf(180,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)],[178])).
% fof(188, plain,![X1]:(~(ilf_type(X1,set_type))|(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_nnf,[status(thm)],[37])).
% fof(189, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[188])).
% fof(190, 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)],[189])).
% cnf(192,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[190])).
% fof(197, 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)],[32])).
% fof(198, 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)],[197])).
% fof(199, 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)],[198])).
% fof(200, 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)],[199])).
% cnf(202,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)],[200])).
% fof(203, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&?[X2]:(ilf_type(X2,set_type)&?[X3]:(ilf_type(X3,relation_type(X1,X2))&(subset(identity_relation_of(X2),X3)&(~(subset(X2,domain(X1,X2,X3)))|~(X2=range(X1,X2,X3))))))),inference(fof_nnf,[status(thm)],[34])).
% fof(204, negated_conjecture,?[X4]:(ilf_type(X4,set_type)&?[X5]:(ilf_type(X5,set_type)&?[X6]:(ilf_type(X6,relation_type(X4,X5))&(subset(identity_relation_of(X5),X6)&(~(subset(X5,domain(X4,X5,X6)))|~(X5=range(X4,X5,X6))))))),inference(variable_rename,[status(thm)],[203])).
% fof(205, negated_conjecture,(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,relation_type(esk13_0,esk14_0))&(subset(identity_relation_of(esk14_0),esk15_0)&(~(subset(esk14_0,domain(esk13_0,esk14_0,esk15_0)))|~(esk14_0=range(esk13_0,esk14_0,esk15_0))))))),inference(skolemize,[status(esa)],[204])).
% cnf(206,negated_conjecture,(esk14_0!=range(esk13_0,esk14_0,esk15_0)|~subset(esk14_0,domain(esk13_0,esk14_0,esk15_0))),inference(split_conjunct,[status(thm)],[205])).
% cnf(207,negated_conjecture,(subset(identity_relation_of(esk14_0),esk15_0)),inference(split_conjunct,[status(thm)],[205])).
% cnf(208,negated_conjecture,(ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(split_conjunct,[status(thm)],[205])).
% cnf(223,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[192,65,theory(equality)])).
% cnf(224,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[223,theory(equality)])).
% cnf(257,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[42,65,theory(equality)])).
% cnf(258,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)|$false|$false),inference(rw,[status(thm)],[257,65,theory(equality)])).
% cnf(259,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(cn,[status(thm)],[258,theory(equality)])).
% cnf(281,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[98,65,theory(equality)])).
% cnf(282,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[281,65,theory(equality)])).
% cnf(283,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)),inference(cn,[status(thm)],[282,theory(equality)])).
% cnf(288,plain,(subset(X1,X2)|$false|~ilf_type(X1,set_type)|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[97,65,theory(equality)])).
% cnf(289,plain,(subset(X1,X2)|$false|$false|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[288,65,theory(equality)])).
% cnf(290,plain,(subset(X1,X2)|~member(esk2_2(X1,X2),X2)),inference(cn,[status(thm)],[289,theory(equality)])).
% cnf(294,plain,(range(X1,X2,X3)=range_of(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[73,65,theory(equality)])).
% cnf(295,plain,(range(X1,X2,X3)=range_of(X3)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[294,65,theory(equality)])).
% cnf(296,plain,(range(X1,X2,X3)=range_of(X3)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[295,theory(equality)])).
% cnf(300,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[202,65,theory(equality)])).
% cnf(301,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|$false|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[300,65,theory(equality)])).
% cnf(302,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X2,subset_type(X1))),inference(cn,[status(thm)],[301,theory(equality)])).
% cnf(309,plain,(empty(X2)|member(X1,X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[180,65,theory(equality)])).
% cnf(310,plain,(empty(X2)|member(X1,X2)|$false|$false|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[309,65,theory(equality)])).
% cnf(311,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,member_type(X2))),inference(cn,[status(thm)],[310,theory(equality)])).
% cnf(320,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[81,65,theory(equality)])).
% cnf(321,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[320,65,theory(equality)])).
% cnf(322,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[321,theory(equality)])).
% cnf(360,plain,(subset(X3,domain(X1,X2,X4))|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[48,65,theory(equality)])).
% cnf(361,plain,(subset(X3,domain(X1,X2,X4))|$false|$false|~ilf_type(X1,set_type)|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[360,65,theory(equality)])).
% cnf(362,plain,(subset(X3,domain(X1,X2,X4))|$false|$false|$false|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[361,65,theory(equality)])).
% cnf(363,plain,(subset(X3,domain(X1,X2,X4))|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(cn,[status(thm)],[362,theory(equality)])).
% cnf(364,plain,(subset(X3,range(X1,X2,X4))|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[47,65,theory(equality)])).
% cnf(365,plain,(subset(X3,range(X1,X2,X4))|$false|$false|~ilf_type(X1,set_type)|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[364,65,theory(equality)])).
% cnf(366,plain,(subset(X3,range(X1,X2,X4))|$false|$false|$false|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(rw,[status(thm)],[365,65,theory(equality)])).
% cnf(367,plain,(subset(X3,range(X1,X2,X4))|~subset(identity_relation_of(X3),X4)|~ilf_type(X4,relation_type(X1,X2))),inference(cn,[status(thm)],[366,theory(equality)])).
% cnf(368,plain,(member(X3,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[174,65,theory(equality)])).
% cnf(369,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[368,65,theory(equality)])).
% cnf(370,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|$false|~member(X1,power_set(X2))),inference(rw,[status(thm)],[369,65,theory(equality)])).
% cnf(371,plain,(member(X3,X2)|~member(X3,X1)|~member(X1,power_set(X2))),inference(cn,[status(thm)],[370,theory(equality)])).
% cnf(391,negated_conjecture,(range(esk13_0,esk14_0,esk15_0)=range_of(esk15_0)),inference(spm,[status(thm)],[296,208,theory(equality)])).
% cnf(394,plain,(X1=X2|member(esk2_2(X2,X1),X2)|~subset(X1,X2)),inference(spm,[status(thm)],[259,283,theory(equality)])).
% cnf(403,negated_conjecture,(range(esk13_0,esk14_0,esk15_0)!=esk14_0|~subset(identity_relation_of(esk14_0),esk15_0)|~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(spm,[status(thm)],[206,363,theory(equality)])).
% cnf(405,negated_conjecture,(range(esk13_0,esk14_0,esk15_0)!=esk14_0|$false|~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(rw,[status(thm)],[403,207,theory(equality)])).
% cnf(406,negated_conjecture,(range(esk13_0,esk14_0,esk15_0)!=esk14_0|$false|$false),inference(rw,[status(thm)],[405,208,theory(equality)])).
% cnf(407,negated_conjecture,(range(esk13_0,esk14_0,esk15_0)!=esk14_0),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(412,plain,(empty(power_set(X1))|member(X2,power_set(X1))|~ilf_type(X2,subset_type(X1))),inference(spm,[status(thm)],[311,302,theory(equality)])).
% cnf(413,plain,(member(X2,power_set(X1))|~ilf_type(X2,subset_type(X1))),inference(sr,[status(thm)],[412,224,theory(equality)])).
% cnf(464,negated_conjecture,(ilf_type(range_of(esk15_0),subset_type(esk14_0))|~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(spm,[status(thm)],[322,391,theory(equality)])).
% cnf(465,negated_conjecture,(subset(X1,range_of(esk15_0))|~subset(identity_relation_of(X1),esk15_0)|~ilf_type(esk15_0,relation_type(esk13_0,esk14_0))),inference(spm,[status(thm)],[367,391,theory(equality)])).
% cnf(466,negated_conjecture,(range_of(esk15_0)!=esk14_0),inference(rw,[status(thm)],[407,391,theory(equality)])).
% cnf(467,negated_conjecture,(ilf_type(range_of(esk15_0),subset_type(esk14_0))|$false),inference(rw,[status(thm)],[464,208,theory(equality)])).
% cnf(468,negated_conjecture,(ilf_type(range_of(esk15_0),subset_type(esk14_0))),inference(cn,[status(thm)],[467,theory(equality)])).
% cnf(469,negated_conjecture,(subset(X1,range_of(esk15_0))|~subset(identity_relation_of(X1),esk15_0)|$false),inference(rw,[status(thm)],[465,208,theory(equality)])).
% cnf(470,negated_conjecture,(subset(X1,range_of(esk15_0))|~subset(identity_relation_of(X1),esk15_0)),inference(cn,[status(thm)],[469,theory(equality)])).
% cnf(511,negated_conjecture,(subset(esk14_0,range_of(esk15_0))),inference(spm,[status(thm)],[470,207,theory(equality)])).
% cnf(514,negated_conjecture,(range_of(esk15_0)=esk14_0|~subset(range_of(esk15_0),esk14_0)),inference(spm,[status(thm)],[259,511,theory(equality)])).
% cnf(517,negated_conjecture,(~subset(range_of(esk15_0),esk14_0)),inference(sr,[status(thm)],[514,466,theory(equality)])).
% cnf(568,negated_conjecture,(member(range_of(esk15_0),power_set(esk14_0))),inference(spm,[status(thm)],[413,468,theory(equality)])).
% cnf(573,negated_conjecture,(member(X1,esk14_0)|~member(X1,range_of(esk15_0))),inference(spm,[status(thm)],[371,568,theory(equality)])).
% cnf(580,negated_conjecture,(esk14_0=range_of(esk15_0)|member(esk2_2(range_of(esk15_0),esk14_0),range_of(esk15_0))),inference(spm,[status(thm)],[394,511,theory(equality)])).
% cnf(589,negated_conjecture,(member(esk2_2(range_of(esk15_0),esk14_0),range_of(esk15_0))),inference(sr,[status(thm)],[580,466,theory(equality)])).
% cnf(621,negated_conjecture,(member(esk2_2(range_of(esk15_0),esk14_0),esk14_0)),inference(spm,[status(thm)],[573,589,theory(equality)])).
% cnf(628,negated_conjecture,(subset(range_of(esk15_0),esk14_0)),inference(spm,[status(thm)],[290,621,theory(equality)])).
% cnf(629,negated_conjecture,($false),inference(sr,[status(thm)],[628,517,theory(equality)])).
% cnf(630,negated_conjecture,($false),629,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 194
% # ...of these trivial : 15
% # ...subsumed : 23
% # ...remaining for further processing: 156
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 4
% # Generated clauses : 197
% # ...of the previous two non-trivial : 173
% # Contextual simplify-reflections : 4
% # Paramodulations : 194
% # Factorizations : 0
% # Equation resolutions : 3
% # Current number of processed clauses: 104
% # Positive orientable unit clauses: 36
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 63
% # Current number of unprocessed clauses: 83
% # ...number of literals in the above : 222
% # Clause-clause subsumption calls (NU) : 65
% # Rec. Clause-clause subsumption calls : 57
% # Unit Clause-clause subsumption calls : 26
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 15
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 144 leaves, 1.30+/-0.698 terms/leaf
% # Paramod-from index: 62 leaves, 1.02+/-0.126 terms/leaf
% # Paramod-into index: 128 leaves, 1.27+/-0.631 terms/leaf
% # -------------------------------------------------
% # User time : 0.031 s
% # System time : 0.005 s
% # Total time : 0.036 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.13 CPU 0.22 WC
% FINAL PrfWatch: 0.13 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP3574/SET669+3.tptp
%
%------------------------------------------------------------------------------