TSTP Solution File: SET666+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET666+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 23:23:56 EST 2010
% Result : Theorem 0.94s
% Output : Solution 0.94s
% 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/SystemOnTPTP1981/SET666+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1981/SET666+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1981/SET666+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 2085
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p24)).
% fof(3, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(ilf_type(X2,identity_relation_of_type(X1))<=>ilf_type(X2,relation_type(X1,X1))))),file('/tmp/SRASS.s.p', p6)).
% fof(11, axiom,![X1]:(ilf_type(X1,set_type)=>subset(identity_relation_of(X1),cross_product(X1,X1))),file('/tmp/SRASS.s.p', p3)).
% 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', p14)).
% fof(16, 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', p16)).
% fof(17, 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', p1)).
% fof(20, 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', p18)).
% fof(21, axiom,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),file('/tmp/SRASS.s.p', p22)).
% fof(24, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>(ilf_type(X2,subset_type(X1))<=>ilf_type(X2,member_type(power_set(X1)))))),file('/tmp/SRASS.s.p', p12)).
% fof(25, conjecture,![X1]:(ilf_type(X1,set_type)=>ilf_type(identity_relation_of(X1),identity_relation_of_type(X1))),file('/tmp/SRASS.s.p', prove_relset_1_29)).
% fof(26, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>ilf_type(identity_relation_of(X1),identity_relation_of_type(X1)))),inference(assume_negation,[status(cth)],[25])).
% fof(27, plain,![X1]:(ilf_type(X1,set_type)=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>(ilf_type(X1,member_type(X2))<=>member(X1,X2)))),inference(fof_simplification,[status(thm)],[20,theory(equality)])).
% fof(28, plain,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),inference(fof_simplification,[status(thm)],[21,theory(equality)])).
% fof(35, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[2])).
% cnf(36,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|((~(ilf_type(X2,identity_relation_of_type(X1)))|ilf_type(X2,relation_type(X1,X1)))&(~(ilf_type(X2,relation_type(X1,X1)))|ilf_type(X2,identity_relation_of_type(X1)))))),inference(fof_nnf,[status(thm)],[3])).
% fof(38, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|((~(ilf_type(X4,identity_relation_of_type(X3)))|ilf_type(X4,relation_type(X3,X3)))&(~(ilf_type(X4,relation_type(X3,X3)))|ilf_type(X4,identity_relation_of_type(X3)))))),inference(variable_rename,[status(thm)],[37])).
% fof(39, plain,![X3]:![X4]:((~(ilf_type(X4,set_type))|((~(ilf_type(X4,identity_relation_of_type(X3)))|ilf_type(X4,relation_type(X3,X3)))&(~(ilf_type(X4,relation_type(X3,X3)))|ilf_type(X4,identity_relation_of_type(X3)))))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[38])).
% fof(40, plain,![X3]:![X4]:((((~(ilf_type(X4,identity_relation_of_type(X3)))|ilf_type(X4,relation_type(X3,X3)))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))&(((~(ilf_type(X4,relation_type(X3,X3)))|ilf_type(X4,identity_relation_of_type(X3)))|~(ilf_type(X4,set_type)))|~(ilf_type(X3,set_type)))),inference(distribute,[status(thm)],[39])).
% cnf(41,plain,(ilf_type(X2,identity_relation_of_type(X1))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X2,relation_type(X1,X1))),inference(split_conjunct,[status(thm)],[40])).
% fof(76, plain,![X1]:(~(ilf_type(X1,set_type))|subset(identity_relation_of(X1),cross_product(X1,X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(77, plain,![X2]:(~(ilf_type(X2,set_type))|subset(identity_relation_of(X2),cross_product(X2,X2))),inference(variable_rename,[status(thm)],[76])).
% cnf(78,plain,(subset(identity_relation_of(X1),cross_product(X1,X1))|~ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[77])).
% fof(83, 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(84, 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)],[83])).
% fof(85, 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(esk8_2(X4,X5),set_type)&(member(esk8_2(X4,X5),X4)&~(member(esk8_2(X4,X5),X5))))|subset(X4,X5))))),inference(skolemize,[status(esa)],[84])).
% fof(86, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(subset(X4,X5)))&((ilf_type(esk8_2(X4,X5),set_type)&(member(esk8_2(X4,X5),X4)&~(member(esk8_2(X4,X5),X5))))|subset(X4,X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[85])).
% fof(87, 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(esk8_2(X4,X5),set_type)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk8_2(X4,X5),X4)|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk8_2(X4,X5),X5))|subset(X4,X5))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[86])).
% cnf(91,plain,(member(X3,X2)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X1,X2)|~member(X3,X1)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[87])).
% fof(105, 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)],[16])).
% fof(106, 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)],[105])).
% fof(107, 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(esk9_2(X4,X5),set_type)&(member(esk9_2(X4,X5),X4)&~(member(esk9_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[106])).
% fof(108, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk9_2(X4,X5),set_type)&(member(esk9_2(X4,X5),X4)&~(member(esk9_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[107])).
% fof(109, 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(esk9_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk9_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk9_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[108])).
% cnf(110,plain,(member(X1,power_set(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk9_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[109])).
% cnf(111,plain,(member(X1,power_set(X2))|member(esk9_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[109])).
% fof(114, 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)],[17])).
% fof(115, 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)],[114])).
% fof(116, 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)],[115])).
% fof(117, 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)],[116])).
% cnf(118,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(split_conjunct,[status(thm)],[117])).
% fof(127, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:((empty(X2)|~(ilf_type(X2,set_type)))|((~(ilf_type(X1,member_type(X2)))|member(X1,X2))&(~(member(X1,X2))|ilf_type(X1,member_type(X2)))))),inference(fof_nnf,[status(thm)],[27])).
% fof(128, 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)],[127])).
% fof(129, 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)],[128])).
% fof(130, 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)],[129])).
% cnf(131,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)],[130])).
% fof(133, plain,![X1]:(~(ilf_type(X1,set_type))|((~(empty(X1))|![X2]:(~(ilf_type(X2,set_type))|~(member(X2,X1))))&(?[X2]:(ilf_type(X2,set_type)&member(X2,X1))|empty(X1)))),inference(fof_nnf,[status(thm)],[28])).
% fof(134, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&(?[X5]:(ilf_type(X5,set_type)&member(X5,X3))|empty(X3)))),inference(variable_rename,[status(thm)],[133])).
% fof(135, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&((ilf_type(esk10_1(X3),set_type)&member(esk10_1(X3),X3))|empty(X3)))),inference(skolemize,[status(esa)],[134])).
% fof(136, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))&((ilf_type(esk10_1(X3),set_type)&member(esk10_1(X3),X3))|empty(X3)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[135])).
% fof(137, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))|~(ilf_type(X3,set_type)))&(((ilf_type(esk10_1(X3),set_type)|empty(X3))|~(ilf_type(X3,set_type)))&((member(esk10_1(X3),X3)|empty(X3))|~(ilf_type(X3,set_type))))),inference(distribute,[status(thm)],[136])).
% cnf(140,plain,(~ilf_type(X1,set_type)|~empty(X1)|~member(X2,X1)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[137])).
% fof(150, 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)],[24])).
% fof(151, 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)],[150])).
% fof(152, 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)],[151])).
% fof(153, 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)],[152])).
% cnf(154,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(split_conjunct,[status(thm)],[153])).
% fof(156, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&~(ilf_type(identity_relation_of(X1),identity_relation_of_type(X1)))),inference(fof_nnf,[status(thm)],[26])).
% fof(157, negated_conjecture,?[X2]:(ilf_type(X2,set_type)&~(ilf_type(identity_relation_of(X2),identity_relation_of_type(X2)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, negated_conjecture,(ilf_type(esk12_0,set_type)&~(ilf_type(identity_relation_of(esk12_0),identity_relation_of_type(esk12_0)))),inference(skolemize,[status(esa)],[157])).
% cnf(159,negated_conjecture,(~ilf_type(identity_relation_of(esk12_0),identity_relation_of_type(esk12_0))),inference(split_conjunct,[status(thm)],[158])).
% cnf(197,plain,(subset(identity_relation_of(X1),cross_product(X1,X1))|$false),inference(rw,[status(thm)],[78,36,theory(equality)])).
% cnf(198,plain,(subset(identity_relation_of(X1),cross_product(X1,X1))),inference(cn,[status(thm)],[197,theory(equality)])).
% cnf(203,plain,(~empty(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[140,36,theory(equality)])).
% cnf(204,plain,(~empty(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[203,36,theory(equality)])).
% cnf(205,plain,(~empty(X1)|~member(X2,X1)),inference(cn,[status(thm)],[204,theory(equality)])).
% cnf(209,plain,(ilf_type(X2,identity_relation_of_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X1,X1))),inference(rw,[status(thm)],[41,36,theory(equality)])).
% cnf(210,plain,(ilf_type(X2,identity_relation_of_type(X1))|$false|$false|~ilf_type(X2,relation_type(X1,X1))),inference(rw,[status(thm)],[209,36,theory(equality)])).
% cnf(211,plain,(ilf_type(X2,identity_relation_of_type(X1))|~ilf_type(X2,relation_type(X1,X1))),inference(cn,[status(thm)],[210,theory(equality)])).
% cnf(219,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[131,36,theory(equality)])).
% cnf(220,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[219,36,theory(equality)])).
% cnf(221,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[220,theory(equality)])).
% cnf(222,plain,(ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(csr,[status(thm)],[221,205])).
% cnf(239,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[154,36,theory(equality)])).
% cnf(240,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[239,36,theory(equality)])).
% cnf(241,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[240,theory(equality)])).
% cnf(253,plain,(member(X1,power_set(X2))|member(esk9_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[111,36,theory(equality)])).
% cnf(254,plain,(member(X1,power_set(X2))|member(esk9_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[253,36,theory(equality)])).
% cnf(255,plain,(member(X1,power_set(X2))|member(esk9_2(X1,X2),X1)),inference(cn,[status(thm)],[254,theory(equality)])).
% cnf(256,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk9_2(X1,X2),X2)),inference(rw,[status(thm)],[110,36,theory(equality)])).
% cnf(257,plain,(member(X1,power_set(X2))|$false|$false|~member(esk9_2(X1,X2),X2)),inference(rw,[status(thm)],[256,36,theory(equality)])).
% cnf(258,plain,(member(X1,power_set(X2))|~member(esk9_2(X1,X2),X2)),inference(cn,[status(thm)],[257,theory(equality)])).
% cnf(270,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[118,36,theory(equality)])).
% cnf(271,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[270,36,theory(equality)])).
% cnf(272,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(277,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[91,36,theory(equality)])).
% cnf(278,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[277,36,theory(equality)])).
% cnf(279,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|$false),inference(rw,[status(thm)],[278,36,theory(equality)])).
% cnf(280,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)),inference(cn,[status(thm)],[279,theory(equality)])).
% cnf(297,negated_conjecture,(~ilf_type(identity_relation_of(esk12_0),relation_type(esk12_0,esk12_0))),inference(spm,[status(thm)],[159,211,theory(equality)])).
% cnf(310,plain,(ilf_type(X1,subset_type(X2))|~member(X1,power_set(X2))),inference(spm,[status(thm)],[241,222,theory(equality)])).
% cnf(319,plain,(member(X1,cross_product(X2,X2))|~member(X1,identity_relation_of(X2))),inference(spm,[status(thm)],[280,198,theory(equality)])).
% cnf(333,negated_conjecture,(~ilf_type(identity_relation_of(esk12_0),subset_type(cross_product(esk12_0,esk12_0)))),inference(spm,[status(thm)],[297,272,theory(equality)])).
% cnf(352,negated_conjecture,(~member(identity_relation_of(esk12_0),power_set(cross_product(esk12_0,esk12_0)))),inference(spm,[status(thm)],[333,310,theory(equality)])).
% cnf(375,plain,(member(esk9_2(identity_relation_of(X1),X2),cross_product(X1,X1))|member(identity_relation_of(X1),power_set(X2))),inference(spm,[status(thm)],[319,255,theory(equality)])).
% cnf(651,plain,(member(identity_relation_of(X1),power_set(cross_product(X1,X1)))),inference(spm,[status(thm)],[258,375,theory(equality)])).
% cnf(658,negated_conjecture,($false),inference(rw,[status(thm)],[352,651,theory(equality)])).
% cnf(659,negated_conjecture,($false),inference(cn,[status(thm)],[658,theory(equality)])).
% cnf(660,negated_conjecture,($false),659,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 186
% # ...of these trivial : 9
% # ...subsumed : 24
% # ...remaining for further processing: 153
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 2
% # Generated clauses : 339
% # ...of the previous two non-trivial : 308
% # Contextual simplify-reflections : 2
% # Paramodulations : 338
% # Factorizations : 0
% # Equation resolutions : 1
% # Current number of processed clauses: 113
% # Positive orientable unit clauses: 27
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 81
% # Current number of unprocessed clauses: 206
% # ...number of literals in the above : 595
% # Clause-clause subsumption calls (NU) : 153
% # Rec. Clause-clause subsumption calls : 149
% # Unit Clause-clause subsumption calls : 4
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 153 leaves, 1.31+/-0.743 terms/leaf
% # Paramod-from index: 69 leaves, 1.10+/-0.302 terms/leaf
% # Paramod-into index: 147 leaves, 1.27+/-0.621 terms/leaf
% # -------------------------------------------------
% # User time : 0.029 s
% # System time : 0.005 s
% # Total time : 0.034 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.12 CPU 0.21 WC
% FINAL PrfWatch: 0.12 CPU 0.21 WC
% SZS output end Solution for /tmp/SystemOnTPTP1981/SET666+3.tptp
%
%------------------------------------------------------------------------------