TSTP Solution File: SET655+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET655+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 23:22:28 EST 2010
% Result : Theorem 1.14s
% Output : Solution 1.14s
% 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/SystemOnTPTP1185/SET655+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1185/SET655+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1185/SET655+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 1284
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3))))),file('/tmp/SRASS.s.p', p1)).
% 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', p5)).
% fof(5, 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)=>((subset(X1,X2)&subset(X3,X4))=>subset(cross_product(X1,X3),cross_product(X2,X4))))))),file('/tmp/SRASS.s.p', p2)).
% fof(8, 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', p3)).
% fof(11, axiom,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),file('/tmp/SRASS.s.p', p14)).
% fof(12, 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', p10)).
% fof(13, 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', p12)).
% fof(14, 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', p7)).
% fof(15, axiom,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),file('/tmp/SRASS.s.p', p11)).
% fof(19, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p19)).
% fof(20, conjecture,![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,X3))=>((subset(X1,X2)&subset(X3,X4))=>ilf_type(X5,relation_type(X2,X4)))))))),file('/tmp/SRASS.s.p', prove_relset_1_17)).
% fof(21, negated_conjecture,~(![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,X3))=>((subset(X1,X2)&subset(X3,X4))=>ilf_type(X5,relation_type(X2,X4))))))))),inference(assume_negation,[status(cth)],[20])).
% fof(22, plain,![X1]:(ilf_type(X1,set_type)=>(empty(X1)<=>![X2]:(ilf_type(X2,set_type)=>~(member(X2,X1))))),inference(fof_simplification,[status(thm)],[11,theory(equality)])).
% fof(23, 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)],[13,theory(equality)])).
% fof(24, plain,![X1]:(ilf_type(X1,set_type)=>(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(26, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|((~(subset(X1,X2))|~(subset(X2,X3)))|subset(X1,X3))))),inference(fof_nnf,[status(thm)],[1])).
% fof(27, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6))))),inference(variable_rename,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,set_type))|((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[27])).
% cnf(29,plain,(subset(X1,X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X2,X3)|~subset(X1,X2)|~ilf_type(X3,set_type)),inference(split_conjunct,[status(thm)],[28])).
% fof(38, 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(39, 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)],[38])).
% fof(40, 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)],[39])).
% fof(41, 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)],[40])).
% fof(42, 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)],[41])).
% cnf(43,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)],[42])).
% cnf(44,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)],[42])).
% cnf(46,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)],[42])).
% fof(47, 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))|((~(subset(X1,X2))|~(subset(X3,X4)))|subset(cross_product(X1,X3),cross_product(X2,X4))))))),inference(fof_nnf,[status(thm)],[5])).
% fof(48, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|((~(subset(X5,X6))|~(subset(X7,X8)))|subset(cross_product(X5,X7),cross_product(X6,X8))))))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,set_type))|((~(subset(X5,X6))|~(subset(X7,X8)))|subset(cross_product(X5,X7),cross_product(X6,X8))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[48])).
% cnf(50,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X3,X4)|~subset(X1,X2)|~ilf_type(X4,set_type)),inference(split_conjunct,[status(thm)],[49])).
% fof(59, 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)],[8])).
% fof(60, 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)],[59])).
% fof(61, 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)],[60])).
% fof(62, 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)],[61])).
% cnf(63,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)],[62])).
% cnf(64,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)],[62])).
% fof(73, 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)],[22])).
% fof(74, 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)],[73])).
% fof(75, plain,![X3]:(~(ilf_type(X3,set_type))|((~(empty(X3))|![X4]:(~(ilf_type(X4,set_type))|~(member(X4,X3))))&((ilf_type(esk4_1(X3),set_type)&member(esk4_1(X3),X3))|empty(X3)))),inference(skolemize,[status(esa)],[74])).
% fof(76, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))&((ilf_type(esk4_1(X3),set_type)&member(esk4_1(X3),X3))|empty(X3)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[75])).
% fof(77, plain,![X3]:![X4]:((((~(ilf_type(X4,set_type))|~(member(X4,X3)))|~(empty(X3)))|~(ilf_type(X3,set_type)))&(((ilf_type(esk4_1(X3),set_type)|empty(X3))|~(ilf_type(X3,set_type)))&((member(esk4_1(X3),X3)|empty(X3))|~(ilf_type(X3,set_type))))),inference(distribute,[status(thm)],[76])).
% cnf(80,plain,(~ilf_type(X1,set_type)|~empty(X1)|~member(X2,X1)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[77])).
% fof(81, 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)],[12])).
% fof(82, 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)],[81])).
% fof(83, 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(esk5_2(X4,X5),set_type)&(member(esk5_2(X4,X5),X4)&~(member(esk5_2(X4,X5),X5))))|member(X4,power_set(X5)))))),inference(skolemize,[status(esa)],[82])).
% fof(84, plain,![X4]:![X5]:![X6]:(((((~(ilf_type(X6,set_type))|(~(member(X6,X4))|member(X6,X5)))|~(member(X4,power_set(X5))))&((ilf_type(esk5_2(X4,X5),set_type)&(member(esk5_2(X4,X5),X4)&~(member(esk5_2(X4,X5),X5))))|member(X4,power_set(X5))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[83])).
% fof(85, 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(esk5_2(X4,X5),set_type)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((member(esk5_2(X4,X5),X4)|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&(((~(member(esk5_2(X4,X5),X5))|member(X4,power_set(X5)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))))),inference(distribute,[status(thm)],[84])).
% cnf(86,plain,(member(X1,power_set(X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(esk5_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,plain,(member(X1,power_set(X2))|member(esk5_2(X1,X2),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[85])).
% cnf(89,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)],[85])).
% fof(90, 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)],[23])).
% fof(91, 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)],[90])).
% fof(92, 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)],[91])).
% fof(93, 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)],[92])).
% cnf(94,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)],[93])).
% cnf(95,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)],[93])).
% fof(96, 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)],[14])).
% fof(97, 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)],[96])).
% fof(98, 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)],[97])).
% fof(99, 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)],[98])).
% cnf(100,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)],[99])).
% cnf(101,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)],[99])).
% fof(102, plain,![X1]:(~(ilf_type(X1,set_type))|(~(empty(power_set(X1)))&ilf_type(power_set(X1),set_type))),inference(fof_nnf,[status(thm)],[24])).
% fof(103, plain,![X2]:(~(ilf_type(X2,set_type))|(~(empty(power_set(X2)))&ilf_type(power_set(X2),set_type))),inference(variable_rename,[status(thm)],[102])).
% fof(104, 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)],[103])).
% cnf(106,plain,(~ilf_type(X1,set_type)|~empty(power_set(X1))),inference(split_conjunct,[status(thm)],[104])).
% fof(125, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[19])).
% cnf(126,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[125])).
% fof(127, negated_conjecture,?[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,X3))&((subset(X1,X2)&subset(X3,X4))&~(ilf_type(X5,relation_type(X2,X4))))))))),inference(fof_nnf,[status(thm)],[21])).
% fof(128, negated_conjecture,?[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,X8))&((subset(X6,X7)&subset(X8,X9))&~(ilf_type(X10,relation_type(X7,X9))))))))),inference(variable_rename,[status(thm)],[127])).
% fof(129, negated_conjecture,(ilf_type(esk10_0,set_type)&(ilf_type(esk11_0,set_type)&(ilf_type(esk12_0,set_type)&(ilf_type(esk13_0,set_type)&(ilf_type(esk14_0,relation_type(esk10_0,esk12_0))&((subset(esk10_0,esk11_0)&subset(esk12_0,esk13_0))&~(ilf_type(esk14_0,relation_type(esk11_0,esk13_0))))))))),inference(skolemize,[status(esa)],[128])).
% cnf(130,negated_conjecture,(~ilf_type(esk14_0,relation_type(esk11_0,esk13_0))),inference(split_conjunct,[status(thm)],[129])).
% cnf(131,negated_conjecture,(subset(esk12_0,esk13_0)),inference(split_conjunct,[status(thm)],[129])).
% cnf(132,negated_conjecture,(subset(esk10_0,esk11_0)),inference(split_conjunct,[status(thm)],[129])).
% cnf(133,negated_conjecture,(ilf_type(esk14_0,relation_type(esk10_0,esk12_0))),inference(split_conjunct,[status(thm)],[129])).
% cnf(149,plain,(~empty(power_set(X1))|$false),inference(rw,[status(thm)],[106,126,theory(equality)])).
% cnf(150,plain,(~empty(power_set(X1))),inference(cn,[status(thm)],[149,theory(equality)])).
% cnf(180,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[29,126,theory(equality)])).
% cnf(181,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[180,126,theory(equality)])).
% cnf(182,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)|$false|$false|$false),inference(rw,[status(thm)],[181,126,theory(equality)])).
% cnf(183,plain,(subset(X1,X3)|~subset(X2,X3)|~subset(X1,X2)),inference(cn,[status(thm)],[182,theory(equality)])).
% cnf(184,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[44,126,theory(equality)])).
% cnf(185,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[184,126,theory(equality)])).
% cnf(186,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)),inference(cn,[status(thm)],[185,theory(equality)])).
% cnf(187,plain,(~empty(X1)|~member(X2,X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[80,126,theory(equality)])).
% cnf(188,plain,(~empty(X1)|~member(X2,X1)|$false|$false),inference(rw,[status(thm)],[187,126,theory(equality)])).
% cnf(189,plain,(~empty(X1)|~member(X2,X1)),inference(cn,[status(thm)],[188,theory(equality)])).
% cnf(190,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[94,126,theory(equality)])).
% cnf(191,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[190,126,theory(equality)])).
% cnf(192,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[191,theory(equality)])).
% cnf(193,plain,(ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(csr,[status(thm)],[192,189])).
% cnf(194,plain,(subset(X1,X2)|$false|~ilf_type(X1,set_type)|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[43,126,theory(equality)])).
% cnf(195,plain,(subset(X1,X2)|$false|$false|~member(esk2_2(X1,X2),X2)),inference(rw,[status(thm)],[194,126,theory(equality)])).
% cnf(196,plain,(subset(X1,X2)|~member(esk2_2(X1,X2),X2)),inference(cn,[status(thm)],[195,theory(equality)])).
% cnf(204,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[101,126,theory(equality)])).
% cnf(205,plain,(ilf_type(X2,member_type(power_set(X1)))|$false|$false|~ilf_type(X2,subset_type(X1))),inference(rw,[status(thm)],[204,126,theory(equality)])).
% cnf(206,plain,(ilf_type(X2,member_type(power_set(X1)))|~ilf_type(X2,subset_type(X1))),inference(cn,[status(thm)],[205,theory(equality)])).
% cnf(207,plain,(ilf_type(X2,subset_type(X1))|$false|~ilf_type(X1,set_type)|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[100,126,theory(equality)])).
% cnf(208,plain,(ilf_type(X2,subset_type(X1))|$false|$false|~ilf_type(X2,member_type(power_set(X1)))),inference(rw,[status(thm)],[207,126,theory(equality)])).
% cnf(209,plain,(ilf_type(X2,subset_type(X1))|~ilf_type(X2,member_type(power_set(X1)))),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(210,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[64,126,theory(equality)])).
% cnf(211,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[210,126,theory(equality)])).
% cnf(212,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[211,theory(equality)])).
% cnf(213,plain,(ilf_type(X3,relation_type(X1,X2))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[63,126,theory(equality)])).
% cnf(214,plain,(ilf_type(X3,relation_type(X1,X2))|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[213,126,theory(equality)])).
% cnf(215,plain,(ilf_type(X3,relation_type(X1,X2))|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[214,theory(equality)])).
% cnf(216,plain,(empty(X2)|member(X1,X2)|$false|~ilf_type(X1,set_type)|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[95,126,theory(equality)])).
% cnf(217,plain,(empty(X2)|member(X1,X2)|$false|$false|~ilf_type(X1,member_type(X2))),inference(rw,[status(thm)],[216,126,theory(equality)])).
% cnf(218,plain,(empty(X2)|member(X1,X2)|~ilf_type(X1,member_type(X2))),inference(cn,[status(thm)],[217,theory(equality)])).
% cnf(223,plain,(member(X1,power_set(X2))|member(esk5_2(X1,X2),X1)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[87,126,theory(equality)])).
% cnf(224,plain,(member(X1,power_set(X2))|member(esk5_2(X1,X2),X1)|$false|$false),inference(rw,[status(thm)],[223,126,theory(equality)])).
% cnf(225,plain,(member(X1,power_set(X2))|member(esk5_2(X1,X2),X1)),inference(cn,[status(thm)],[224,theory(equality)])).
% cnf(226,plain,(member(X1,power_set(X2))|$false|~ilf_type(X1,set_type)|~member(esk5_2(X1,X2),X2)),inference(rw,[status(thm)],[86,126,theory(equality)])).
% cnf(227,plain,(member(X1,power_set(X2))|$false|$false|~member(esk5_2(X1,X2),X2)),inference(rw,[status(thm)],[226,126,theory(equality)])).
% cnf(228,plain,(member(X1,power_set(X2))|~member(esk5_2(X1,X2),X2)),inference(cn,[status(thm)],[227,theory(equality)])).
% cnf(237,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[46,126,theory(equality)])).
% cnf(238,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[237,126,theory(equality)])).
% cnf(239,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)|$false|$false|$false),inference(rw,[status(thm)],[238,126,theory(equality)])).
% cnf(240,plain,(member(X3,X2)|~subset(X1,X2)|~member(X3,X1)),inference(cn,[status(thm)],[239,theory(equality)])).
% cnf(241,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[50,126,theory(equality)])).
% cnf(242,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[241,126,theory(equality)])).
% cnf(243,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[242,126,theory(equality)])).
% cnf(244,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)|$false|$false|$false|$false),inference(rw,[status(thm)],[243,126,theory(equality)])).
% cnf(245,plain,(subset(cross_product(X1,X3),cross_product(X2,X4))|~subset(X3,X4)|~subset(X1,X2)),inference(cn,[status(thm)],[244,theory(equality)])).
% cnf(246,plain,(member(X3,X2)|~member(X3,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[89,126,theory(equality)])).
% cnf(247,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|~ilf_type(X1,set_type)|~member(X1,power_set(X2))),inference(rw,[status(thm)],[246,126,theory(equality)])).
% cnf(248,plain,(member(X3,X2)|~member(X3,X1)|$false|$false|$false|~member(X1,power_set(X2))),inference(rw,[status(thm)],[247,126,theory(equality)])).
% cnf(249,plain,(member(X3,X2)|~member(X3,X1)|~member(X1,power_set(X2))),inference(cn,[status(thm)],[248,theory(equality)])).
% cnf(269,negated_conjecture,(ilf_type(esk14_0,subset_type(cross_product(esk10_0,esk12_0)))),inference(spm,[status(thm)],[212,133,theory(equality)])).
% cnf(278,negated_conjecture,(subset(cross_product(X1,esk12_0),cross_product(X2,esk13_0))|~subset(X1,X2)),inference(spm,[status(thm)],[245,131,theory(equality)])).
% cnf(294,negated_conjecture,(ilf_type(esk14_0,member_type(power_set(cross_product(esk10_0,esk12_0))))),inference(spm,[status(thm)],[206,269,theory(equality)])).
% cnf(327,negated_conjecture,(empty(power_set(cross_product(esk10_0,esk12_0)))|member(esk14_0,power_set(cross_product(esk10_0,esk12_0)))),inference(spm,[status(thm)],[218,294,theory(equality)])).
% cnf(329,negated_conjecture,(member(esk14_0,power_set(cross_product(esk10_0,esk12_0)))),inference(sr,[status(thm)],[327,150,theory(equality)])).
% cnf(334,negated_conjecture,(member(X1,cross_product(esk10_0,esk12_0))|~member(X1,esk14_0)),inference(spm,[status(thm)],[249,329,theory(equality)])).
% cnf(430,negated_conjecture,(subset(cross_product(esk10_0,esk12_0),cross_product(esk11_0,esk13_0))),inference(spm,[status(thm)],[278,132,theory(equality)])).
% cnf(441,negated_conjecture,(subset(X1,cross_product(esk11_0,esk13_0))|~subset(X1,cross_product(esk10_0,esk12_0))),inference(spm,[status(thm)],[183,430,theory(equality)])).
% cnf(732,negated_conjecture,(member(esk2_2(esk14_0,X1),cross_product(esk10_0,esk12_0))|subset(esk14_0,X1)),inference(spm,[status(thm)],[334,186,theory(equality)])).
% cnf(753,negated_conjecture,(subset(esk14_0,cross_product(esk10_0,esk12_0))),inference(spm,[status(thm)],[196,732,theory(equality)])).
% cnf(765,negated_conjecture,(subset(esk14_0,cross_product(esk11_0,esk13_0))),inference(spm,[status(thm)],[441,753,theory(equality)])).
% cnf(780,negated_conjecture,(member(X1,cross_product(esk11_0,esk13_0))|~member(X1,esk14_0)),inference(spm,[status(thm)],[240,765,theory(equality)])).
% cnf(2802,negated_conjecture,(member(esk5_2(esk14_0,X1),cross_product(esk11_0,esk13_0))|member(esk14_0,power_set(X1))),inference(spm,[status(thm)],[780,225,theory(equality)])).
% cnf(5725,negated_conjecture,(member(esk14_0,power_set(cross_product(esk11_0,esk13_0)))),inference(spm,[status(thm)],[228,2802,theory(equality)])).
% cnf(5730,negated_conjecture,(ilf_type(esk14_0,member_type(power_set(cross_product(esk11_0,esk13_0))))),inference(spm,[status(thm)],[193,5725,theory(equality)])).
% cnf(5733,negated_conjecture,(ilf_type(esk14_0,subset_type(cross_product(esk11_0,esk13_0)))),inference(spm,[status(thm)],[209,5730,theory(equality)])).
% cnf(5737,negated_conjecture,(ilf_type(esk14_0,relation_type(esk11_0,esk13_0))),inference(spm,[status(thm)],[215,5733,theory(equality)])).
% cnf(5740,negated_conjecture,($false),inference(sr,[status(thm)],[5737,130,theory(equality)])).
% cnf(5741,negated_conjecture,($false),5740,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 789
% # ...of these trivial : 42
% # ...subsumed : 184
% # ...remaining for further processing: 563
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 4
% # Generated clauses : 5059
% # ...of the previous two non-trivial : 4750
% # Contextual simplify-reflections : 23
% # Paramodulations : 5059
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 528
% # Positive orientable unit clauses: 276
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 7
% # Non-unit-clauses : 245
% # Current number of unprocessed clauses: 4036
% # ...number of literals in the above : 6165
% # Clause-clause subsumption calls (NU) : 1259
% # Rec. Clause-clause subsumption calls : 1197
% # Unit Clause-clause subsumption calls : 88
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1232
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 647 leaves, 1.47+/-1.703 terms/leaf
% # Paramod-from index: 215 leaves, 1.81+/-1.987 terms/leaf
% # Paramod-into index: 553 leaves, 1.50+/-1.707 terms/leaf
% # -------------------------------------------------
% # User time : 0.150 s
% # System time : 0.016 s
% # Total time : 0.166 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/SystemOnTPTP1185/SET655+3.tptp
%
%------------------------------------------------------------------------------