TSTP Solution File: SET685+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET685+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 : art06.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 23:29:17 EST 2010
% Result : Theorem 25.09s
% Output : Solution 25.09s
% 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/SystemOnTPTP7939/SET685+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7939/SET685+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7939/SET685+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 8035
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.53 CPU 4.01 WC
% PrfWatch: 5.17 CPU 6.02 WC
% PrfWatch: 7.17 CPU 8.02 WC
% PrfWatch: 9.16 CPU 10.03 WC
% PrfWatch: 11.15 CPU 12.03 WC
% PrfWatch: 13.15 CPU 14.04 WC
% PrfWatch: 15.14 CPU 16.04 WC
% PrfWatch: 17.13 CPU 18.05 WC
% PrfWatch: 19.13 CPU 20.05 WC
% PrfWatch: 21.12 CPU 22.06 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 23.11 CPU 24.06 WC
% # 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)=>![X4]:(ilf_type(X4,set_type)=>![X5]:(ilf_type(X5,relation_type(X1,X2))=>(member(ordered_pair(X3,X4),X5)=>(member(X3,X1)&member(X4,X2)))))))),file('/tmp/SRASS.s.p', p2)).
% fof(4, 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', p7)).
% fof(7, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p27)).
% fof(9, axiom,![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)=>image4(X1,X2,X3,X4)=image(X3,X4))))),file('/tmp/SRASS.s.p', p25)).
% fof(16, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,binary_relation_type)=>(member(X2,image(X3,X1))<=>?[X4]:((ilf_type(X4,set_type)&member(ordered_pair(X4,X2),X3))&member(X4,X1)))))),file('/tmp/SRASS.s.p', p1)).
% fof(19, 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', p5)).
% fof(24, 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(27, 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', p24)).
% fof(28, conjecture,![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:((~(empty(X3))&ilf_type(X3,set_type))=>![X4]:(ilf_type(X4,relation_type(X3,X1))=>![X5]:(ilf_type(X5,member_type(X1))=>(member(X5,image4(X3,X1,X4,X2))<=>?[X6]:((ilf_type(X6,member_type(X3))&member(ordered_pair(X6,X5),X4))&member(X6,X2)))))))),file('/tmp/SRASS.s.p', prove_relset_1_52)).
% fof(29, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:((~(empty(X3))&ilf_type(X3,set_type))=>![X4]:(ilf_type(X4,relation_type(X3,X1))=>![X5]:(ilf_type(X5,member_type(X1))=>(member(X5,image4(X3,X1,X4,X2))<=>?[X6]:((ilf_type(X6,member_type(X3))&member(ordered_pair(X6,X5),X4))&member(X6,X2))))))))),inference(assume_negation,[status(cth)],[28])).
% fof(30, 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)],[4,theory(equality)])).
% fof(34, negated_conjecture,~(![X1]:((~(empty(X1))&ilf_type(X1,set_type))=>![X2]:((~(empty(X2))&ilf_type(X2,set_type))=>![X3]:((~(empty(X3))&ilf_type(X3,set_type))=>![X4]:(ilf_type(X4,relation_type(X3,X1))=>![X5]:(ilf_type(X5,member_type(X1))=>(member(X5,image4(X3,X1,X4,X2))<=>?[X6]:((ilf_type(X6,member_type(X3))&member(ordered_pair(X6,X5),X4))&member(X6,X2))))))))),inference(fof_simplification,[status(thm)],[29,theory(equality)])).
% fof(35, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,relation_type(X1,X2)))|(~(member(ordered_pair(X3,X4),X5))|(member(X3,X1)&member(X4,X2)))))))),inference(fof_nnf,[status(thm)],[1])).
% fof(36, plain,![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|![X9]:(~(ilf_type(X9,set_type))|![X10]:(~(ilf_type(X10,relation_type(X6,X7)))|(~(member(ordered_pair(X8,X9),X10))|(member(X8,X6)&member(X9,X7)))))))),inference(variable_rename,[status(thm)],[35])).
% fof(37, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((~(ilf_type(X10,relation_type(X6,X7)))|(~(member(ordered_pair(X8,X9),X10))|(member(X8,X6)&member(X9,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type))),inference(shift_quantors,[status(thm)],[36])).
% fof(38, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((member(X8,X6)|~(member(ordered_pair(X8,X9),X10)))|~(ilf_type(X10,relation_type(X6,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))&((((((member(X9,X7)|~(member(ordered_pair(X8,X9),X10)))|~(ilf_type(X10,relation_type(X6,X7))))|~(ilf_type(X9,set_type)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))),inference(distribute,[status(thm)],[37])).
% cnf(40,plain,(member(X3,X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(split_conjunct,[status(thm)],[38])).
% fof(50, 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)],[30])).
% fof(51, 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)],[50])).
% fof(52, 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)],[51])).
% fof(53, 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)],[52])).
% cnf(54,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)],[53])).
% fof(68, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[7])).
% cnf(69,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[68])).
% fof(74, plain,![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))|image4(X1,X2,X3,X4)=image(X3,X4))))),inference(fof_nnf,[status(thm)],[9])).
% fof(75, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,relation_type(X5,X6)))|![X8]:(~(ilf_type(X8,set_type))|image4(X5,X6,X7,X8)=image(X7,X8))))),inference(variable_rename,[status(thm)],[74])).
% fof(76, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,set_type))|image4(X5,X6,X7,X8)=image(X7,X8))|~(ilf_type(X7,relation_type(X5,X6))))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[75])).
% cnf(77,plain,(image4(X1,X2,X3,X4)=image(X3,X4)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X1,X2))|~ilf_type(X4,set_type)),inference(split_conjunct,[status(thm)],[76])).
% fof(114, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,binary_relation_type))|((~(member(X2,image(X3,X1)))|?[X4]:((ilf_type(X4,set_type)&member(ordered_pair(X4,X2),X3))&member(X4,X1)))&(![X4]:((~(ilf_type(X4,set_type))|~(member(ordered_pair(X4,X2),X3)))|~(member(X4,X1)))|member(X2,image(X3,X1))))))),inference(fof_nnf,[status(thm)],[16])).
% fof(115, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,binary_relation_type))|((~(member(X6,image(X7,X5)))|?[X8]:((ilf_type(X8,set_type)&member(ordered_pair(X8,X6),X7))&member(X8,X5)))&(![X9]:((~(ilf_type(X9,set_type))|~(member(ordered_pair(X9,X6),X7)))|~(member(X9,X5)))|member(X6,image(X7,X5))))))),inference(variable_rename,[status(thm)],[114])).
% fof(116, plain,![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|![X7]:(~(ilf_type(X7,binary_relation_type))|((~(member(X6,image(X7,X5)))|((ilf_type(esk10_3(X5,X6,X7),set_type)&member(ordered_pair(esk10_3(X5,X6,X7),X6),X7))&member(esk10_3(X5,X6,X7),X5)))&(![X9]:((~(ilf_type(X9,set_type))|~(member(ordered_pair(X9,X6),X7)))|~(member(X9,X5)))|member(X6,image(X7,X5))))))),inference(skolemize,[status(esa)],[115])).
% fof(117, plain,![X5]:![X6]:![X7]:![X9]:(((((((~(ilf_type(X9,set_type))|~(member(ordered_pair(X9,X6),X7)))|~(member(X9,X5)))|member(X6,image(X7,X5)))&(~(member(X6,image(X7,X5)))|((ilf_type(esk10_3(X5,X6,X7),set_type)&member(ordered_pair(esk10_3(X5,X6,X7),X6),X7))&member(esk10_3(X5,X6,X7),X5))))|~(ilf_type(X7,binary_relation_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, plain,![X5]:![X6]:![X7]:![X9]:(((((((~(ilf_type(X9,set_type))|~(member(ordered_pair(X9,X6),X7)))|~(member(X9,X5)))|member(X6,image(X7,X5)))|~(ilf_type(X7,binary_relation_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&((((((ilf_type(esk10_3(X5,X6,X7),set_type)|~(member(X6,image(X7,X5))))|~(ilf_type(X7,binary_relation_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&((((member(ordered_pair(esk10_3(X5,X6,X7),X6),X7)|~(member(X6,image(X7,X5))))|~(ilf_type(X7,binary_relation_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))))&((((member(esk10_3(X5,X6,X7),X5)|~(member(X6,image(X7,X5))))|~(ilf_type(X7,binary_relation_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))))),inference(distribute,[status(thm)],[117])).
% cnf(119,plain,(member(esk10_3(X1,X2,X3),X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,binary_relation_type)|~member(X2,image(X3,X1))),inference(split_conjunct,[status(thm)],[118])).
% cnf(120,plain,(member(ordered_pair(esk10_3(X1,X2,X3),X2),X3)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,binary_relation_type)|~member(X2,image(X3,X1))),inference(split_conjunct,[status(thm)],[118])).
% cnf(122,plain,(member(X2,image(X3,X1))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,binary_relation_type)|~member(X4,X1)|~member(ordered_pair(X4,X2),X3)|~ilf_type(X4,set_type)),inference(split_conjunct,[status(thm)],[118])).
% fof(138, 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)],[19])).
% fof(139, 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)],[138])).
% fof(140, 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)],[139])).
% fof(141, 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)],[140])).
% cnf(143,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)],[141])).
% fof(159, 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)],[24])).
% fof(160, 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)],[159])).
% fof(161, 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)],[160])).
% cnf(162,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)],[161])).
% fof(175, 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)],[27])).
% fof(176, 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)],[175])).
% fof(177, 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)],[176])).
% cnf(178,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)],[177])).
% fof(179, negated_conjecture,?[X1]:((~(empty(X1))&ilf_type(X1,set_type))&?[X2]:((~(empty(X2))&ilf_type(X2,set_type))&?[X3]:((~(empty(X3))&ilf_type(X3,set_type))&?[X4]:(ilf_type(X4,relation_type(X3,X1))&?[X5]:(ilf_type(X5,member_type(X1))&((~(member(X5,image4(X3,X1,X4,X2)))|![X6]:((~(ilf_type(X6,member_type(X3)))|~(member(ordered_pair(X6,X5),X4)))|~(member(X6,X2))))&(member(X5,image4(X3,X1,X4,X2))|?[X6]:((ilf_type(X6,member_type(X3))&member(ordered_pair(X6,X5),X4))&member(X6,X2))))))))),inference(fof_nnf,[status(thm)],[34])).
% fof(180, negated_conjecture,?[X7]:((~(empty(X7))&ilf_type(X7,set_type))&?[X8]:((~(empty(X8))&ilf_type(X8,set_type))&?[X9]:((~(empty(X9))&ilf_type(X9,set_type))&?[X10]:(ilf_type(X10,relation_type(X9,X7))&?[X11]:(ilf_type(X11,member_type(X7))&((~(member(X11,image4(X9,X7,X10,X8)))|![X12]:((~(ilf_type(X12,member_type(X9)))|~(member(ordered_pair(X12,X11),X10)))|~(member(X12,X8))))&(member(X11,image4(X9,X7,X10,X8))|?[X13]:((ilf_type(X13,member_type(X9))&member(ordered_pair(X13,X11),X10))&member(X13,X8))))))))),inference(variable_rename,[status(thm)],[179])).
% fof(181, negated_conjecture,((~(empty(esk12_0))&ilf_type(esk12_0,set_type))&((~(empty(esk13_0))&ilf_type(esk13_0,set_type))&((~(empty(esk14_0))&ilf_type(esk14_0,set_type))&(ilf_type(esk15_0,relation_type(esk14_0,esk12_0))&(ilf_type(esk16_0,member_type(esk12_0))&((~(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)))|![X12]:((~(ilf_type(X12,member_type(esk14_0)))|~(member(ordered_pair(X12,esk16_0),esk15_0)))|~(member(X12,esk13_0))))&(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|((ilf_type(esk17_0,member_type(esk14_0))&member(ordered_pair(esk17_0,esk16_0),esk15_0))&member(esk17_0,esk13_0))))))))),inference(skolemize,[status(esa)],[180])).
% fof(182, negated_conjecture,![X12]:(((((((((~(ilf_type(X12,member_type(esk14_0)))|~(member(ordered_pair(X12,esk16_0),esk15_0)))|~(member(X12,esk13_0)))|~(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))))&(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|((ilf_type(esk17_0,member_type(esk14_0))&member(ordered_pair(esk17_0,esk16_0),esk15_0))&member(esk17_0,esk13_0))))&ilf_type(esk16_0,member_type(esk12_0)))&ilf_type(esk15_0,relation_type(esk14_0,esk12_0)))&(~(empty(esk14_0))&ilf_type(esk14_0,set_type)))&(~(empty(esk13_0))&ilf_type(esk13_0,set_type)))&(~(empty(esk12_0))&ilf_type(esk12_0,set_type))),inference(shift_quantors,[status(thm)],[181])).
% fof(183, negated_conjecture,![X12]:(((((((((~(ilf_type(X12,member_type(esk14_0)))|~(member(ordered_pair(X12,esk16_0),esk15_0)))|~(member(X12,esk13_0)))|~(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))))&(((ilf_type(esk17_0,member_type(esk14_0))|member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)))&(member(ordered_pair(esk17_0,esk16_0),esk15_0)|member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))))&(member(esk17_0,esk13_0)|member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0)))))&ilf_type(esk16_0,member_type(esk12_0)))&ilf_type(esk15_0,relation_type(esk14_0,esk12_0)))&(~(empty(esk14_0))&ilf_type(esk14_0,set_type)))&(~(empty(esk13_0))&ilf_type(esk13_0,set_type)))&(~(empty(esk12_0))&ilf_type(esk12_0,set_type))),inference(distribute,[status(thm)],[182])).
% cnf(189,negated_conjecture,(~empty(esk14_0)),inference(split_conjunct,[status(thm)],[183])).
% cnf(190,negated_conjecture,(ilf_type(esk15_0,relation_type(esk14_0,esk12_0))),inference(split_conjunct,[status(thm)],[183])).
% cnf(192,negated_conjecture,(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|member(esk17_0,esk13_0)),inference(split_conjunct,[status(thm)],[183])).
% cnf(193,negated_conjecture,(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(split_conjunct,[status(thm)],[183])).
% cnf(194,negated_conjecture,(member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|ilf_type(esk17_0,member_type(esk14_0))),inference(split_conjunct,[status(thm)],[183])).
% cnf(195,negated_conjecture,(~member(esk16_0,image4(esk14_0,esk12_0,esk15_0,esk13_0))|~member(X1,esk13_0)|~member(ordered_pair(X1,esk16_0),esk15_0)|~ilf_type(X1,member_type(esk14_0))),inference(split_conjunct,[status(thm)],[183])).
% cnf(213,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[162,69,theory(equality)])).
% cnf(214,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[213,theory(equality)])).
% cnf(222,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[178,69,theory(equality)])).
% cnf(223,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[222,69,theory(equality)])).
% cnf(224,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[223,theory(equality)])).
% cnf(288,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[54,69,theory(equality)])).
% cnf(289,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)|$false|$false),inference(rw,[status(thm)],[288,69,theory(equality)])).
% cnf(290,plain,(empty(X2)|ilf_type(X1,member_type(X2))|~member(X1,X2)),inference(cn,[status(thm)],[289,theory(equality)])).
% cnf(334,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[143,69,theory(equality)])).
% cnf(335,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[334,69,theory(equality)])).
% cnf(336,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[335,theory(equality)])).
% cnf(337,negated_conjecture,(ilf_type(esk15_0,subset_type(cross_product(esk14_0,esk12_0)))),inference(spm,[status(thm)],[336,190,theory(equality)])).
% cnf(371,plain,(member(esk10_3(X1,X2,X3),X1)|~ilf_type(X3,binary_relation_type)|$false|~ilf_type(X1,set_type)|~member(X2,image(X3,X1))),inference(rw,[status(thm)],[119,69,theory(equality)])).
% cnf(372,plain,(member(esk10_3(X1,X2,X3),X1)|~ilf_type(X3,binary_relation_type)|$false|$false|~member(X2,image(X3,X1))),inference(rw,[status(thm)],[371,69,theory(equality)])).
% cnf(373,plain,(member(esk10_3(X1,X2,X3),X1)|~ilf_type(X3,binary_relation_type)|~member(X2,image(X3,X1))),inference(cn,[status(thm)],[372,theory(equality)])).
% cnf(375,plain,(image4(X1,X2,X3,X4)=image(X3,X4)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[77,69,theory(equality)])).
% cnf(376,plain,(image4(X1,X2,X3,X4)=image(X3,X4)|$false|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[375,69,theory(equality)])).
% cnf(377,plain,(image4(X1,X2,X3,X4)=image(X3,X4)|$false|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[376,69,theory(equality)])).
% cnf(378,plain,(image4(X1,X2,X3,X4)=image(X3,X4)|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[377,theory(equality)])).
% cnf(379,negated_conjecture,(image4(esk14_0,esk12_0,esk15_0,X1)=image(esk15_0,X1)),inference(spm,[status(thm)],[378,190,theory(equality)])).
% cnf(381,plain,(member(ordered_pair(esk10_3(X1,X2,X3),X2),X3)|~ilf_type(X3,binary_relation_type)|$false|~ilf_type(X1,set_type)|~member(X2,image(X3,X1))),inference(rw,[status(thm)],[120,69,theory(equality)])).
% cnf(382,plain,(member(ordered_pair(esk10_3(X1,X2,X3),X2),X3)|~ilf_type(X3,binary_relation_type)|$false|$false|~member(X2,image(X3,X1))),inference(rw,[status(thm)],[381,69,theory(equality)])).
% cnf(383,plain,(member(ordered_pair(esk10_3(X1,X2,X3),X2),X3)|~ilf_type(X3,binary_relation_type)|~member(X2,image(X3,X1))),inference(cn,[status(thm)],[382,theory(equality)])).
% cnf(391,plain,(member(X2,image(X3,X1))|~member(X4,X1)|$false|~ilf_type(X3,binary_relation_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X4,X2),X3)),inference(rw,[status(thm)],[122,69,theory(equality)])).
% cnf(392,plain,(member(X2,image(X3,X1))|~member(X4,X1)|$false|~ilf_type(X3,binary_relation_type)|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X4,X2),X3)),inference(rw,[status(thm)],[391,69,theory(equality)])).
% cnf(393,plain,(member(X2,image(X3,X1))|~member(X4,X1)|$false|~ilf_type(X3,binary_relation_type)|$false|$false|~member(ordered_pair(X4,X2),X3)),inference(rw,[status(thm)],[392,69,theory(equality)])).
% cnf(394,plain,(member(X2,image(X3,X1))|~member(X4,X1)|~ilf_type(X3,binary_relation_type)|~member(ordered_pair(X4,X2),X3)),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(403,plain,(member(X3,X1)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[40,69,theory(equality)])).
% cnf(404,plain,(member(X3,X1)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[403,69,theory(equality)])).
% cnf(405,plain,(member(X3,X1)|$false|$false|$false|~ilf_type(X1,set_type)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[404,69,theory(equality)])).
% cnf(406,plain,(member(X3,X1)|$false|$false|$false|$false|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(rw,[status(thm)],[405,69,theory(equality)])).
% cnf(407,plain,(member(X3,X1)|~ilf_type(X5,relation_type(X1,X2))|~member(ordered_pair(X3,X4),X5)),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(408,negated_conjecture,(member(X1,esk14_0)|~member(ordered_pair(X1,X2),esk15_0)),inference(spm,[status(thm)],[407,190,theory(equality)])).
% cnf(433,negated_conjecture,(relation_like(esk15_0)),inference(spm,[status(thm)],[224,337,theory(equality)])).
% cnf(436,negated_conjecture,(ilf_type(esk15_0,binary_relation_type)),inference(spm,[status(thm)],[214,433,theory(equality)])).
% cnf(438,negated_conjecture,(member(esk10_3(X1,X2,esk15_0),X1)|~member(X2,image(esk15_0,X1))),inference(spm,[status(thm)],[373,436,theory(equality)])).
% cnf(439,negated_conjecture,(member(ordered_pair(esk10_3(X1,X2,esk15_0),X2),esk15_0)|~member(X2,image(esk15_0,X1))),inference(spm,[status(thm)],[383,436,theory(equality)])).
% cnf(440,negated_conjecture,(member(X1,image(esk15_0,X2))|~member(ordered_pair(X3,X1),esk15_0)|~member(X3,X2)),inference(spm,[status(thm)],[394,436,theory(equality)])).
% cnf(442,negated_conjecture,(~member(esk16_0,image(esk15_0,esk13_0))|~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(rw,[status(thm)],[195,379,theory(equality)])).
% cnf(443,negated_conjecture,(member(esk16_0,image(esk15_0,esk13_0))|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(rw,[status(thm)],[193,379,theory(equality)])).
% cnf(444,negated_conjecture,(member(esk16_0,image(esk15_0,esk13_0))|ilf_type(esk17_0,member_type(esk14_0))),inference(rw,[status(thm)],[194,379,theory(equality)])).
% cnf(445,negated_conjecture,(member(esk16_0,image(esk15_0,esk13_0))|member(esk17_0,esk13_0)),inference(rw,[status(thm)],[192,379,theory(equality)])).
% cnf(534,negated_conjecture,(member(esk17_0,esk13_0)|~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(spm,[status(thm)],[442,445,theory(equality)])).
% cnf(610,negated_conjecture,(ilf_type(esk17_0,member_type(esk14_0))|~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(spm,[status(thm)],[442,444,theory(equality)])).
% cnf(712,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk13_0)|member(esk17_0,esk13_0)),inference(spm,[status(thm)],[438,445,theory(equality)])).
% cnf(713,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk13_0)|ilf_type(esk17_0,member_type(esk14_0))),inference(spm,[status(thm)],[438,444,theory(equality)])).
% cnf(779,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk13_0)|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(spm,[status(thm)],[438,443,theory(equality)])).
% cnf(781,negated_conjecture,(member(ordered_pair(esk17_0,esk16_0),esk15_0)|~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(spm,[status(thm)],[442,443,theory(equality)])).
% cnf(789,negated_conjecture,(member(esk17_0,esk13_0)|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|~ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))),inference(spm,[status(thm)],[534,712,theory(equality)])).
% cnf(1117,negated_conjecture,(member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|member(esk17_0,esk13_0)),inference(spm,[status(thm)],[439,445,theory(equality)])).
% cnf(1118,negated_conjecture,(member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|ilf_type(esk17_0,member_type(esk14_0))),inference(spm,[status(thm)],[439,444,theory(equality)])).
% cnf(1119,negated_conjecture,(member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(spm,[status(thm)],[439,443,theory(equality)])).
% cnf(1751,negated_conjecture,(ilf_type(esk17_0,member_type(esk14_0))|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|~ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))),inference(spm,[status(thm)],[610,713,theory(equality)])).
% cnf(1912,negated_conjecture,(member(ordered_pair(esk17_0,esk16_0),esk15_0)|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)|~ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))),inference(spm,[status(thm)],[781,779,theory(equality)])).
% cnf(2485,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk14_0)|member(esk17_0,esk13_0)),inference(spm,[status(thm)],[408,1117,theory(equality)])).
% cnf(2495,negated_conjecture,(empty(esk14_0)|ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|member(esk17_0,esk13_0)),inference(spm,[status(thm)],[290,2485,theory(equality)])).
% cnf(2499,negated_conjecture,(ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|member(esk17_0,esk13_0)),inference(sr,[status(thm)],[2495,189,theory(equality)])).
% cnf(2501,negated_conjecture,(member(esk17_0,esk13_0)|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)),inference(spm,[status(thm)],[789,2499,theory(equality)])).
% cnf(2706,negated_conjecture,(member(esk17_0,esk13_0)),inference(csr,[status(thm)],[2501,1117])).
% cnf(4462,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk14_0)|ilf_type(esk17_0,member_type(esk14_0))),inference(spm,[status(thm)],[408,1118,theory(equality)])).
% cnf(4472,negated_conjecture,(empty(esk14_0)|ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|ilf_type(esk17_0,member_type(esk14_0))),inference(spm,[status(thm)],[290,4462,theory(equality)])).
% cnf(4476,negated_conjecture,(ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|ilf_type(esk17_0,member_type(esk14_0))),inference(sr,[status(thm)],[4472,189,theory(equality)])).
% cnf(7098,negated_conjecture,(member(esk10_3(esk13_0,esk16_0,esk15_0),esk14_0)|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(spm,[status(thm)],[408,1119,theory(equality)])).
% cnf(7164,negated_conjecture,(empty(esk14_0)|ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(spm,[status(thm)],[290,7098,theory(equality)])).
% cnf(7168,negated_conjecture,(ilf_type(esk10_3(esk13_0,esk16_0,esk15_0),member_type(esk14_0))|member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(sr,[status(thm)],[7164,189,theory(equality)])).
% cnf(154255,negated_conjecture,(ilf_type(esk17_0,member_type(esk14_0))|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)),inference(csr,[status(thm)],[1751,4476])).
% cnf(154256,negated_conjecture,(ilf_type(esk17_0,member_type(esk14_0))),inference(csr,[status(thm)],[154255,1118])).
% cnf(177113,negated_conjecture,(member(ordered_pair(esk17_0,esk16_0),esk15_0)|~member(ordered_pair(esk10_3(esk13_0,esk16_0,esk15_0),esk16_0),esk15_0)),inference(csr,[status(thm)],[1912,7168])).
% cnf(177114,negated_conjecture,(member(ordered_pair(esk17_0,esk16_0),esk15_0)),inference(csr,[status(thm)],[177113,1119])).
% cnf(177125,negated_conjecture,(member(esk16_0,image(esk15_0,X1))|~member(esk17_0,X1)),inference(spm,[status(thm)],[440,177114,theory(equality)])).
% cnf(177196,negated_conjecture,(member(esk16_0,image(esk15_0,esk13_0))),inference(spm,[status(thm)],[177125,2706,theory(equality)])).
% cnf(177237,negated_conjecture,($false|~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(rw,[status(thm)],[442,177196,theory(equality)])).
% cnf(177238,negated_conjecture,(~member(ordered_pair(X1,esk16_0),esk15_0)|~member(X1,esk13_0)|~ilf_type(X1,member_type(esk14_0))),inference(cn,[status(thm)],[177237,theory(equality)])).
% cnf(177430,negated_conjecture,(~member(ordered_pair(esk17_0,esk16_0),esk15_0)|~ilf_type(esk17_0,member_type(esk14_0))),inference(spm,[status(thm)],[177238,2706,theory(equality)])).
% cnf(177766,negated_conjecture,($false|~ilf_type(esk17_0,member_type(esk14_0))),inference(rw,[status(thm)],[177430,177114,theory(equality)])).
% cnf(177767,negated_conjecture,($false|$false),inference(rw,[status(thm)],[177766,154256,theory(equality)])).
% cnf(177768,negated_conjecture,($false),inference(cn,[status(thm)],[177767,theory(equality)])).
% cnf(177769,negated_conjecture,($false),177768,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15007
% # ...of these trivial : 56
% # ...subsumed : 12879
% # ...remaining for further processing: 2072
% # Other redundant clauses eliminated : 44
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 101
% # Backward-rewritten : 109
% # Generated clauses : 155505
% # ...of the previous two non-trivial : 151770
% # Contextual simplify-reflections : 19313
% # Paramodulations : 155387
% # Factorizations : 46
% # Equation resolutions : 66
% # Current number of processed clauses: 1856
% # Positive orientable unit clauses: 187
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 9
% # Non-unit-clauses : 1659
% # Current number of unprocessed clauses: 120439
% # ...number of literals in the above : 533343
% # Clause-clause subsumption calls (NU) : 1238021
% # Rec. Clause-clause subsumption calls : 552508
% # Unit Clause-clause subsumption calls : 1322
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 254
% # Indexed BW rewrite successes : 22
% # Backwards rewriting index: 1176 leaves, 2.51+/-3.839 terms/leaf
% # Paramod-from index: 458 leaves, 2.40+/-3.034 terms/leaf
% # Paramod-into index: 956 leaves, 2.55+/-3.857 terms/leaf
% # -------------------------------------------------
% # User time : 21.303 s
% # System time : 0.211 s
% # Total time : 21.514 s
% # Maximum resident set size: 0 pages
% PrfWatch: 24.20 CPU 25.15 WC
% FINAL PrfWatch: 24.20 CPU 25.15 WC
% SZS output end Solution for /tmp/SystemOnTPTP7939/SET685+3.tptp
%
%------------------------------------------------------------------------------