TSTP Solution File: SET660+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET660+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 : art09.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 23:22:53 EST 2010
% Result : Theorem 1.16s
% Output : Solution 1.16s
% 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/SystemOnTPTP31682/SET660+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31682/SET660+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31682/SET660+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 31778
% 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(5, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p34)).
% fof(6, 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', p32)).
% fof(8, 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', p33)).
% fof(14, 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', p1)).
% fof(16, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(X1=X2<=>(subset(X1,X2)&subset(X2,X1))))),file('/tmp/SRASS.s.p', p9)).
% fof(20, 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', p20)).
% fof(21, 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', p22)).
% fof(22, 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', p3)).
% fof(24, 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', p7)).
% fof(25, 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', p24)).
% fof(28, 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', p15)).
% 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', p23)).
% fof(33, 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', p27)).
% fof(34, 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', p17)).
% fof(35, conjecture,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>(![X4]:(ilf_type(X4,set_type)=>(member(X4,X2)=>?[X5]:(ilf_type(X5,set_type)&member(ordered_pair(X5,X4),X3))))<=>range(X1,X2,X3)=X2)))),file('/tmp/SRASS.s.p', prove_relset_1_23)).
% fof(36, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,relation_type(X1,X2))=>(![X4]:(ilf_type(X4,set_type)=>(member(X4,X2)=>?[X5]:(ilf_type(X5,set_type)&member(ordered_pair(X5,X4),X3))))<=>range(X1,X2,X3)=X2))))),inference(assume_negation,[status(cth)],[35])).
% fof(38, 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)],[25,theory(equality)])).
% fof(39, 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(68, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[5])).
% cnf(69,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[68])).
% 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)],[6])).
% 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(85, 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)],[8])).
% fof(86, 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)],[85])).
% fof(87, 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)],[86])).
% cnf(88,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)],[87])).
% fof(106, 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)],[14])).
% fof(107, 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)],[106])).
% fof(108, plain,![X4]:(~(ilf_type(X4,binary_relation_type))|![X5]:(~(ilf_type(X5,set_type))|((~(member(X5,range_of(X4)))|(ilf_type(esk9_2(X4,X5),set_type)&member(ordered_pair(esk9_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)],[107])).
% fof(109, 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(esk9_2(X4,X5),set_type)&member(ordered_pair(esk9_2(X4,X5),X5),X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, 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(esk9_2(X4,X5),set_type)|~(member(X5,range_of(X4))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,binary_relation_type)))&(((member(ordered_pair(esk9_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)],[109])).
% cnf(111,plain,(member(ordered_pair(esk9_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)],[110])).
% fof(120, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)))),inference(fof_nnf,[status(thm)],[16])).
% fof(121, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)))),inference(variable_rename,[status(thm)],[120])).
% fof(122, plain,![X3]:![X4]:((~(ilf_type(X4,set_type))|((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X3]:![X4]:(((((subset(X3,X4)|~(X3=X4))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))&(((subset(X4,X3)|~(X3=X4))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type))))&((((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))),inference(distribute,[status(thm)],[122])).
% cnf(124,plain,(X1=X2|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[123])).
% fof(143, 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)],[20])).
% fof(144, 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)],[143])).
% fof(145, 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(esk11_2(X4,X5),set_type)&(member(esk11_2(X4,X5),X4)&~(member(esk11_2(X4,X5),X5))))|subset(X4,X5))))),inference(skolemize,[status(esa)],[144])).
% fof(146, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))&((ilf_type(esk11_2(X4,X5),set_type)&(member(esk11_2(X4,X5),X4)&~(member(esk11_2(X4,X5),X5))))|subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[145])).
% fof(147, 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(esk11_2(X4,X5),set_type)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk11_2(X4,X5),X4)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk11_2(X4,X5),X5))|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[146])).
% cnf(148,plain,(subset(X1,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk11_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[147])).
% cnf(149,plain,(subset(X1,X2)|member(esk11_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[147])).
% fof(152, 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)],[21])).
% fof(153, 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)],[152])).
% fof(154, 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(esk12_2(X4,X5),set_type)&(member(esk12_2(X4,X5),X4)&~(member(esk12_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[153])).
% fof(155, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk12_2(X4,X5),set_type)&(member(esk12_2(X4,X5),X4)&~(member(esk12_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[154])).
% fof(156, 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(esk12_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk12_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk12_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[155])).
% cnf(160,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)],[156])).
% fof(161, 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)],[22])).
% fof(162, 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)],[161])).
% fof(163, 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)],[162])).
% fof(164, 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)],[163])).
% cnf(165,plain,(member(X2,range_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)],[164])).
% fof(171, 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)],[24])).
% fof(172, 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)],[171])).
% fof(173, 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)],[172])).
% fof(174, 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)],[173])).
% cnf(176,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)],[174])).
% fof(177, 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)],[38])).
% fof(178, 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)],[177])).
% fof(179, 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)],[178])).
% fof(180, 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)],[179])).
% cnf(182,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)],[180])).
% fof(190, 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)],[28])).
% fof(191, 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)],[190])).
% fof(192, 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)],[191])).
% cnf(193,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)],[192])).
% fof(199, plain,![X1]:(~(ilf_type(X1,set_type))|(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_nnf,[status(thm)],[39])).
% fof(200, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[199])).
% fof(201, 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)],[200])).
% cnf(203,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[201])).
% fof(211, 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)],[33])).
% fof(212, 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)],[211])).
% fof(213, 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)],[212])).
% cnf(214,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)],[213])).
% fof(215, 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)],[34])).
% fof(216, 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)],[215])).
% fof(217, 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)],[216])).
% fof(218, 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)],[217])).
% cnf(220,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)],[218])).
% fof(221, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&?[X2]:(ilf_type(X2,set_type)&?[X3]:(ilf_type(X3,relation_type(X1,X2))&((?[X4]:(ilf_type(X4,set_type)&(member(X4,X2)&![X5]:(~(ilf_type(X5,set_type))|~(member(ordered_pair(X5,X4),X3)))))|~(range(X1,X2,X3)=X2))&(![X4]:(~(ilf_type(X4,set_type))|(~(member(X4,X2))|?[X5]:(ilf_type(X5,set_type)&member(ordered_pair(X5,X4),X3))))|range(X1,X2,X3)=X2))))),inference(fof_nnf,[status(thm)],[36])).
% fof(222, negated_conjecture,?[X6]:(ilf_type(X6,set_type)&?[X7]:(ilf_type(X7,set_type)&?[X8]:(ilf_type(X8,relation_type(X6,X7))&((?[X9]:(ilf_type(X9,set_type)&(member(X9,X7)&![X10]:(~(ilf_type(X10,set_type))|~(member(ordered_pair(X10,X9),X8)))))|~(range(X6,X7,X8)=X7))&(![X11]:(~(ilf_type(X11,set_type))|(~(member(X11,X7))|?[X12]:(ilf_type(X12,set_type)&member(ordered_pair(X12,X11),X8))))|range(X6,X7,X8)=X7))))),inference(variable_rename,[status(thm)],[221])).
% fof(223, negated_conjecture,(ilf_type(esk14_0,set_type)&(ilf_type(esk15_0,set_type)&(ilf_type(esk16_0,relation_type(esk14_0,esk15_0))&(((ilf_type(esk17_0,set_type)&(member(esk17_0,esk15_0)&![X10]:(~(ilf_type(X10,set_type))|~(member(ordered_pair(X10,esk17_0),esk16_0)))))|~(range(esk14_0,esk15_0,esk16_0)=esk15_0))&(![X11]:(~(ilf_type(X11,set_type))|(~(member(X11,esk15_0))|(ilf_type(esk18_1(X11),set_type)&member(ordered_pair(esk18_1(X11),X11),esk16_0))))|range(esk14_0,esk15_0,esk16_0)=esk15_0))))),inference(skolemize,[status(esa)],[222])).
% fof(224, negated_conjecture,![X10]:![X11]:((((((~(ilf_type(X11,set_type))|(~(member(X11,esk15_0))|(ilf_type(esk18_1(X11),set_type)&member(ordered_pair(esk18_1(X11),X11),esk16_0))))|range(esk14_0,esk15_0,esk16_0)=esk15_0)&((((~(ilf_type(X10,set_type))|~(member(ordered_pair(X10,esk17_0),esk16_0)))&member(esk17_0,esk15_0))&ilf_type(esk17_0,set_type))|~(range(esk14_0,esk15_0,esk16_0)=esk15_0)))&ilf_type(esk16_0,relation_type(esk14_0,esk15_0)))&ilf_type(esk15_0,set_type))&ilf_type(esk14_0,set_type)),inference(shift_quantors,[status(thm)],[223])).
% fof(225, negated_conjecture,![X10]:![X11]:((((((((ilf_type(esk18_1(X11),set_type)|~(member(X11,esk15_0)))|~(ilf_type(X11,set_type)))|range(esk14_0,esk15_0,esk16_0)=esk15_0)&(((member(ordered_pair(esk18_1(X11),X11),esk16_0)|~(member(X11,esk15_0)))|~(ilf_type(X11,set_type)))|range(esk14_0,esk15_0,esk16_0)=esk15_0))&((((~(ilf_type(X10,set_type))|~(member(ordered_pair(X10,esk17_0),esk16_0)))|~(range(esk14_0,esk15_0,esk16_0)=esk15_0))&(member(esk17_0,esk15_0)|~(range(esk14_0,esk15_0,esk16_0)=esk15_0)))&(ilf_type(esk17_0,set_type)|~(range(esk14_0,esk15_0,esk16_0)=esk15_0))))&ilf_type(esk16_0,relation_type(esk14_0,esk15_0)))&ilf_type(esk15_0,set_type))&ilf_type(esk14_0,set_type)),inference(distribute,[status(thm)],[224])).
% cnf(228,negated_conjecture,(ilf_type(esk16_0,relation_type(esk14_0,esk15_0))),inference(split_conjunct,[status(thm)],[225])).
% cnf(230,negated_conjecture,(member(esk17_0,esk15_0)|range(esk14_0,esk15_0,esk16_0)!=esk15_0),inference(split_conjunct,[status(thm)],[225])).
% cnf(231,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)!=esk15_0|~member(ordered_pair(X1,esk17_0),esk16_0)|~ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[225])).
% cnf(232,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)=esk15_0|member(ordered_pair(esk18_1(X1),X1),esk16_0)|~ilf_type(X1,set_type)|~member(X1,esk15_0)),inference(split_conjunct,[status(thm)],[225])).
% cnf(247,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[203,69,theory(equality)])).
% cnf(248,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[247,theory(equality)])).
% cnf(255,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[193,69,theory(equality)])).
% cnf(256,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[255,theory(equality)])).
% cnf(264,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)!=esk15_0|$false|~member(ordered_pair(X1,esk17_0),esk16_0)),inference(rw,[status(thm)],[231,69,theory(equality)])).
% cnf(265,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)!=esk15_0|~member(ordered_pair(X1,esk17_0),esk16_0)),inference(cn,[status(thm)],[264,theory(equality)])).
% cnf(302,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)=esk15_0|member(ordered_pair(esk18_1(X1),X1),esk16_0)|$false|~member(X1,esk15_0)),inference(rw,[status(thm)],[232,69,theory(equality)])).
% cnf(303,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)=esk15_0|member(ordered_pair(esk18_1(X1),X1),esk16_0)|~member(X1,esk15_0)),inference(cn,[status(thm)],[302,theory(equality)])).
% cnf(315,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[124,69,theory(equality)])).
% cnf(316,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)|$false|$false),inference(rw,[status(thm)],[315,69,theory(equality)])).
% cnf(317,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(cn,[status(thm)],[316,theory(equality)])).
% cnf(322,plain,(subset(X1,X2)|member(esk11_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[149,69,theory(equality)])).
% cnf(323,plain,(subset(X1,X2)|member(esk11_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[322,69,theory(equality)])).
% cnf(324,plain,(subset(X1,X2)|member(esk11_2(X1,X2),X1)),inference(cn,[status(thm)],[323,theory(equality)])).
% cnf(325,plain,(subset(X1,X2)|$false|~ilf_type(X1,set_type)|~member(esk11_2(X1,X2),X2)),inference(rw,[status(thm)],[148,69,theory(equality)])).
% cnf(326,plain,(subset(X1,X2)|$false|$false|~member(esk11_2(X1,X2),X2)),inference(rw,[status(thm)],[325,69,theory(equality)])).
% cnf(327,plain,(subset(X1,X2)|~member(esk11_2(X1,X2),X2)),inference(cn,[status(thm)],[326,theory(equality)])).
% cnf(341,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[214,69,theory(equality)])).
% cnf(342,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[341,69,theory(equality)])).
% cnf(343,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[342,theory(equality)])).
% cnf(348,plain,(range(X1,X2,X3)=range_of(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[73,69,theory(equality)])).
% cnf(349,plain,(range(X1,X2,X3)=range_of(X3)|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[348,69,theory(equality)])).
% cnf(350,plain,(range(X1,X2,X3)=range_of(X3)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[349,theory(equality)])).
% cnf(351,plain,(empty(X2)|member(X1,X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[182,69,theory(equality)])).
% cnf(352,plain,(empty(X2)|member(X1,X2)|$false|$false|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[351,69,theory(equality)])).
% cnf(353,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,member_type(X2))),inference(cn,[status(thm)],[352,theory(equality)])).
% cnf(358,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[220,69,theory(equality)])).
% cnf(359,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|$false|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[358,69,theory(equality)])).
% cnf(360,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X2,subset_type(X1))),inference(cn,[status(thm)],[359,theory(equality)])).
% cnf(369,plain,(member(X2,range_of(X3))|~ilf_type(X3,binary_relation_type)|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X1,X2),X3)),inference(rw,[status(thm)],[165,69,theory(equality)])).
% cnf(370,plain,(member(X2,range_of(X3))|~ilf_type(X3,binary_relation_type)|$false|$false|~member(ordered_pair(X1,X2),X3)),inference(rw,[status(thm)],[369,69,theory(equality)])).
% cnf(371,plain,(member(X2,range_of(X3))|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X1,X2),X3)),inference(cn,[status(thm)],[370,theory(equality)])).
% cnf(382,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[88,69,theory(equality)])).
% cnf(383,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[382,69,theory(equality)])).
% cnf(384,plain,(ilf_type(range(X1,X2,X3),subset_type(X2))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[383,theory(equality)])).
% cnf(385,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[176,69,theory(equality)])).
% cnf(386,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[385,69,theory(equality)])).
% cnf(387,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[386,theory(equality)])).
% cnf(397,plain,(member(X3,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[160,69,theory(equality)])).
% cnf(398,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[397,69,theory(equality)])).
% cnf(399,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|$false|~member(X1,power_set(X2))),inference(rw,[status(thm)],[398,69,theory(equality)])).
% cnf(400,plain,(member(X3,X2)|~member(X3,X1)|~member(X1,power_set(X2))),inference(cn,[status(thm)],[399,theory(equality)])).
% cnf(401,plain,(member(ordered_pair(esk9_2(X1,X2),X2),X1)|$false|~ilf_type(X1,binary_relation_type)|~member(X2,range_of(X1))),inference(rw,[status(thm)],[111,69,theory(equality)])).
% cnf(402,plain,(member(ordered_pair(esk9_2(X1,X2),X2),X1)|~ilf_type(X1,binary_relation_type)|~member(X2,range_of(X1))),inference(cn,[status(thm)],[401,theory(equality)])).
% cnf(439,negated_conjecture,(range(esk14_0,esk15_0,esk16_0)=range_of(esk16_0)),inference(spm,[status(thm)],[350,228,theory(equality)])).
% cnf(453,negated_conjecture,(ilf_type(esk16_0,subset_type(cross_product(esk14_0,esk15_0)))),inference(spm,[status(thm)],[387,228,theory(equality)])).
% cnf(464,plain,(empty(power_set(X1))|member(X2,power_set(X1))|~ilf_type(X2,subset_type(X1))),inference(spm,[status(thm)],[353,360,theory(equality)])).
% cnf(465,plain,(member(X2,power_set(X1))|~ilf_type(X2,subset_type(X1))),inference(sr,[status(thm)],[464,248,theory(equality)])).
% cnf(513,negated_conjecture,(ilf_type(range_of(esk16_0),subset_type(esk15_0))|~ilf_type(esk16_0,relation_type(esk14_0,esk15_0))),inference(spm,[status(thm)],[384,439,theory(equality)])).
% cnf(514,negated_conjecture,(range_of(esk16_0)!=esk15_0|~member(ordered_pair(X1,esk17_0),esk16_0)),inference(rw,[status(thm)],[265,439,theory(equality)])).
% cnf(515,negated_conjecture,(range_of(esk16_0)=esk15_0|member(ordered_pair(esk18_1(X1),X1),esk16_0)|~member(X1,esk15_0)),inference(rw,[status(thm)],[303,439,theory(equality)])).
% cnf(516,negated_conjecture,(member(esk17_0,esk15_0)|range_of(esk16_0)!=esk15_0),inference(rw,[status(thm)],[230,439,theory(equality)])).
% cnf(517,negated_conjecture,(ilf_type(range_of(esk16_0),subset_type(esk15_0))|$false),inference(rw,[status(thm)],[513,228,theory(equality)])).
% cnf(518,negated_conjecture,(ilf_type(range_of(esk16_0),subset_type(esk15_0))),inference(cn,[status(thm)],[517,theory(equality)])).
% cnf(532,plain,(member(X1,X2)|~member(X1,X3)|~ilf_type(X3,subset_type(X2))),inference(spm,[status(thm)],[400,465,theory(equality)])).
% cnf(533,negated_conjecture,(relation_like(esk16_0)),inference(spm,[status(thm)],[343,453,theory(equality)])).
% cnf(535,negated_conjecture,(member(X1,range_of(esk16_0))|range_of(esk16_0)=esk15_0|~ilf_type(esk16_0,binary_relation_type)|~member(X1,esk15_0)),inference(spm,[status(thm)],[371,515,theory(equality)])).
% cnf(640,negated_conjecture,(subset(X1,range_of(esk16_0))|range_of(esk16_0)=esk15_0|~member(esk11_2(X1,range_of(esk16_0)),esk15_0)|~ilf_type(esk16_0,binary_relation_type)),inference(spm,[status(thm)],[327,535,theory(equality)])).
% cnf(1184,negated_conjecture,(member(X1,esk15_0)|~member(X1,range_of(esk16_0))),inference(spm,[status(thm)],[532,518,theory(equality)])).
% cnf(1214,negated_conjecture,(member(esk11_2(range_of(esk16_0),X1),esk15_0)|subset(range_of(esk16_0),X1)),inference(spm,[status(thm)],[1184,324,theory(equality)])).
% cnf(1666,negated_conjecture,(subset(range_of(esk16_0),esk15_0)),inference(spm,[status(thm)],[327,1214,theory(equality)])).
% cnf(1668,negated_conjecture,(esk15_0=range_of(esk16_0)|~subset(esk15_0,range_of(esk16_0))),inference(spm,[status(thm)],[317,1666,theory(equality)])).
% cnf(4112,negated_conjecture,(range_of(esk16_0)=esk15_0|subset(esk15_0,range_of(esk16_0))|~ilf_type(esk16_0,binary_relation_type)),inference(spm,[status(thm)],[640,324,theory(equality)])).
% cnf(4118,negated_conjecture,(range_of(esk16_0)=esk15_0|~ilf_type(esk16_0,binary_relation_type)),inference(csr,[status(thm)],[4112,1668])).
% cnf(4119,negated_conjecture,(range_of(esk16_0)=esk15_0|~relation_like(esk16_0)),inference(spm,[status(thm)],[4118,256,theory(equality)])).
% cnf(4120,negated_conjecture,(range_of(esk16_0)=esk15_0|$false),inference(rw,[status(thm)],[4119,533,theory(equality)])).
% cnf(4121,negated_conjecture,(range_of(esk16_0)=esk15_0),inference(cn,[status(thm)],[4120,theory(equality)])).
% cnf(4189,negated_conjecture,($false|~member(ordered_pair(X1,esk17_0),esk16_0)),inference(rw,[status(thm)],[514,4121,theory(equality)])).
% cnf(4190,negated_conjecture,(~member(ordered_pair(X1,esk17_0),esk16_0)),inference(cn,[status(thm)],[4189,theory(equality)])).
% cnf(4195,negated_conjecture,(member(esk17_0,esk15_0)|$false),inference(rw,[status(thm)],[516,4121,theory(equality)])).
% cnf(4196,negated_conjecture,(member(esk17_0,esk15_0)),inference(cn,[status(thm)],[4195,theory(equality)])).
% cnf(4223,negated_conjecture,(~member(esk17_0,range_of(esk16_0))|~ilf_type(esk16_0,binary_relation_type)),inference(spm,[status(thm)],[4190,402,theory(equality)])).
% cnf(4226,negated_conjecture,($false|~ilf_type(esk16_0,binary_relation_type)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4223,4121,theory(equality)]),4196,theory(equality)])).
% cnf(4227,negated_conjecture,(~ilf_type(esk16_0,binary_relation_type)),inference(cn,[status(thm)],[4226,theory(equality)])).
% cnf(4228,negated_conjecture,(~relation_like(esk16_0)),inference(spm,[status(thm)],[4227,256,theory(equality)])).
% cnf(4229,negated_conjecture,($false),inference(rw,[status(thm)],[4228,533,theory(equality)])).
% cnf(4230,negated_conjecture,($false),inference(cn,[status(thm)],[4229,theory(equality)])).
% cnf(4231,negated_conjecture,($false),4230,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 886
% # ...of these trivial : 20
% # ...subsumed : 437
% # ...remaining for further processing: 429
% # Other redundant clauses eliminated : 4
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 44
% # Backward-rewritten : 55
% # Generated clauses : 3430
% # ...of the previous two non-trivial : 3362
% # Contextual simplify-reflections : 165
% # Paramodulations : 3402
% # Factorizations : 20
% # Equation resolutions : 8
% # Current number of processed clauses: 281
% # Positive orientable unit clauses: 55
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 7
% # Non-unit-clauses : 215
% # Current number of unprocessed clauses: 2025
% # ...number of literals in the above : 6742
% # Clause-clause subsumption calls (NU) : 3737
% # Rec. Clause-clause subsumption calls : 3249
% # Unit Clause-clause subsumption calls : 220
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 138
% # Indexed BW rewrite successes : 32
% # Backwards rewriting index: 341 leaves, 1.35+/-0.983 terms/leaf
% # Paramod-from index: 150 leaves, 1.25+/-1.034 terms/leaf
% # Paramod-into index: 302 leaves, 1.30+/-0.912 terms/leaf
% # -------------------------------------------------
% # User time : 0.160 s
% # System time : 0.012 s
% # Total time : 0.172 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.31 CPU 0.41 WC
% FINAL PrfWatch: 0.31 CPU 0.41 WC
% SZS output end Solution for /tmp/SystemOnTPTP31682/SET660+3.tptp
%
%------------------------------------------------------------------------------