TSTP Solution File: SET665+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET665+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 23:23:41 EST 2010
% Result : Theorem 1.11s
% Output : Solution 1.11s
% 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/SystemOnTPTP3056/SET665+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3056/SET665+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3056/SET665+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 3152
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:ilf_type(X1,set_type),file('/tmp/SRASS.s.p', p27)).
% fof(5, axiom,![X1]:(ilf_type(X1,set_type)=>ilf_type(identity_relation_of(X1),binary_relation_type)),file('/tmp/SRASS.s.p', p8)).
% fof(11, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>ilf_type(cross_product(X1,X2),relation_type(X1,X2)))),file('/tmp/SRASS.s.p', p4)).
% fof(12, 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)=>(member(ordered_pair(X1,X2),cross_product(X3,X4))<=>(member(X1,X3)&member(X2,X4))))))),file('/tmp/SRASS.s.p', p3)).
% fof(13, 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', p13)).
% fof(14, 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', p20)).
% fof(15, axiom,![X1]:(ilf_type(X1,set_type)=>![X2]:(ilf_type(X2,set_type)=>![X3]:(ilf_type(X3,set_type)=>(member(ordered_pair(X2,X3),identity_relation_of(X1))<=>(member(X2,X1)&X2=X3))))),file('/tmp/SRASS.s.p', p2)).
% fof(18, axiom,![X1]:(ilf_type(X1,binary_relation_type)=>![X2]:(ilf_type(X2,binary_relation_type)=>(subset(X1,X2)<=>![X3]:(ilf_type(X3,set_type)=>![X4]:(ilf_type(X4,set_type)=>(member(ordered_pair(X3,X4),X1)=>member(ordered_pair(X3,X4),X2))))))),file('/tmp/SRASS.s.p', p1)).
% fof(19, 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', p11)).
% fof(28, conjecture,![X1]:(ilf_type(X1,set_type)=>subset(identity_relation_of(X1),cross_product(X1,X1))),file('/tmp/SRASS.s.p', prove_relset_1_28)).
% fof(29, negated_conjecture,~(![X1]:(ilf_type(X1,set_type)=>subset(identity_relation_of(X1),cross_product(X1,X1)))),inference(assume_negation,[status(cth)],[28])).
% fof(41, plain,![X2]:ilf_type(X2,set_type),inference(variable_rename,[status(thm)],[3])).
% cnf(42,plain,(ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[41])).
% fof(52, plain,![X1]:(~(ilf_type(X1,set_type))|ilf_type(identity_relation_of(X1),binary_relation_type)),inference(fof_nnf,[status(thm)],[5])).
% fof(53, plain,![X2]:(~(ilf_type(X2,set_type))|ilf_type(identity_relation_of(X2),binary_relation_type)),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(ilf_type(identity_relation_of(X1),binary_relation_type)|~ilf_type(X1,set_type)),inference(split_conjunct,[status(thm)],[53])).
% fof(74, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|ilf_type(cross_product(X1,X2),relation_type(X1,X2)))),inference(fof_nnf,[status(thm)],[11])).
% fof(75, plain,![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|ilf_type(cross_product(X3,X4),relation_type(X3,X4)))),inference(variable_rename,[status(thm)],[74])).
% fof(76, plain,![X3]:![X4]:((~(ilf_type(X4,set_type))|ilf_type(cross_product(X3,X4),relation_type(X3,X4)))|~(ilf_type(X3,set_type))),inference(shift_quantors,[status(thm)],[75])).
% cnf(77,plain,(ilf_type(cross_product(X1,X2),relation_type(X1,X2))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)),inference(split_conjunct,[status(thm)],[76])).
% fof(78, 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))|((~(member(ordered_pair(X1,X2),cross_product(X3,X4)))|(member(X1,X3)&member(X2,X4)))&((~(member(X1,X3))|~(member(X2,X4)))|member(ordered_pair(X1,X2),cross_product(X3,X4)))))))),inference(fof_nnf,[status(thm)],[12])).
% fof(79, 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))|((~(member(ordered_pair(X5,X6),cross_product(X7,X8)))|(member(X5,X7)&member(X6,X8)))&((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))))))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X5]:![X6]:![X7]:![X8]:((((~(ilf_type(X8,set_type))|((~(member(ordered_pair(X5,X6),cross_product(X7,X8)))|(member(X5,X7)&member(X6,X8)))&((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))),inference(shift_quantors,[status(thm)],[79])).
% fof(81, plain,![X5]:![X6]:![X7]:![X8]:(((((((member(X5,X7)|~(member(ordered_pair(X5,X6),cross_product(X7,X8))))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))&(((((member(X6,X8)|~(member(ordered_pair(X5,X6),cross_product(X7,X8))))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type))))&((((((~(member(X5,X7))|~(member(X6,X8)))|member(ordered_pair(X5,X6),cross_product(X7,X8)))|~(ilf_type(X8,set_type)))|~(ilf_type(X7,set_type)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))),inference(distribute,[status(thm)],[80])).
% cnf(82,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~member(X2,X4)|~member(X1,X3)),inference(split_conjunct,[status(thm)],[81])).
% fof(85, 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)],[13])).
% fof(86, 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)],[85])).
% fof(87, 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)],[86])).
% fof(88, 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)],[87])).
% cnf(90,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)],[88])).
% fof(91, 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)],[14])).
% fof(92, 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)],[91])).
% fof(93, 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)],[92])).
% cnf(94,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)],[93])).
% fof(95, plain,![X1]:(~(ilf_type(X1,set_type))|![X2]:(~(ilf_type(X2,set_type))|![X3]:(~(ilf_type(X3,set_type))|((~(member(ordered_pair(X2,X3),identity_relation_of(X1)))|(member(X2,X1)&X2=X3))&((~(member(X2,X1))|~(X2=X3))|member(ordered_pair(X2,X3),identity_relation_of(X1))))))),inference(fof_nnf,[status(thm)],[15])).
% fof(96, plain,![X4]:(~(ilf_type(X4,set_type))|![X5]:(~(ilf_type(X5,set_type))|![X6]:(~(ilf_type(X6,set_type))|((~(member(ordered_pair(X5,X6),identity_relation_of(X4)))|(member(X5,X4)&X5=X6))&((~(member(X5,X4))|~(X5=X6))|member(ordered_pair(X5,X6),identity_relation_of(X4))))))),inference(variable_rename,[status(thm)],[95])).
% fof(97, plain,![X4]:![X5]:![X6]:(((~(ilf_type(X6,set_type))|((~(member(ordered_pair(X5,X6),identity_relation_of(X4)))|(member(X5,X4)&X5=X6))&((~(member(X5,X4))|~(X5=X6))|member(ordered_pair(X5,X6),identity_relation_of(X4)))))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))),inference(shift_quantors,[status(thm)],[96])).
% fof(98, plain,![X4]:![X5]:![X6]:((((((member(X5,X4)|~(member(ordered_pair(X5,X6),identity_relation_of(X4))))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))&((((X5=X6|~(member(ordered_pair(X5,X6),identity_relation_of(X4))))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type))))&(((((~(member(X5,X4))|~(X5=X6))|member(ordered_pair(X5,X6),identity_relation_of(X4)))|~(ilf_type(X6,set_type)))|~(ilf_type(X5,set_type)))|~(ilf_type(X4,set_type)))),inference(distribute,[status(thm)],[97])).
% cnf(100,plain,(X2=X3|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(split_conjunct,[status(thm)],[98])).
% cnf(101,plain,(member(X2,X1)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(split_conjunct,[status(thm)],[98])).
% fof(120, plain,![X1]:(~(ilf_type(X1,binary_relation_type))|![X2]:(~(ilf_type(X2,binary_relation_type))|((~(subset(X1,X2))|![X3]:(~(ilf_type(X3,set_type))|![X4]:(~(ilf_type(X4,set_type))|(~(member(ordered_pair(X3,X4),X1))|member(ordered_pair(X3,X4),X2)))))&(?[X3]:(ilf_type(X3,set_type)&?[X4]:(ilf_type(X4,set_type)&(member(ordered_pair(X3,X4),X1)&~(member(ordered_pair(X3,X4),X2)))))|subset(X1,X2))))),inference(fof_nnf,[status(thm)],[18])).
% fof(121, plain,![X5]:(~(ilf_type(X5,binary_relation_type))|![X6]:(~(ilf_type(X6,binary_relation_type))|((~(subset(X5,X6))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|(~(member(ordered_pair(X7,X8),X5))|member(ordered_pair(X7,X8),X6)))))&(?[X9]:(ilf_type(X9,set_type)&?[X10]:(ilf_type(X10,set_type)&(member(ordered_pair(X9,X10),X5)&~(member(ordered_pair(X9,X10),X6)))))|subset(X5,X6))))),inference(variable_rename,[status(thm)],[120])).
% fof(122, plain,![X5]:(~(ilf_type(X5,binary_relation_type))|![X6]:(~(ilf_type(X6,binary_relation_type))|((~(subset(X5,X6))|![X7]:(~(ilf_type(X7,set_type))|![X8]:(~(ilf_type(X8,set_type))|(~(member(ordered_pair(X7,X8),X5))|member(ordered_pair(X7,X8),X6)))))&((ilf_type(esk7_2(X5,X6),set_type)&(ilf_type(esk8_2(X5,X6),set_type)&(member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)&~(member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X6)))))|subset(X5,X6))))),inference(skolemize,[status(esa)],[121])).
% fof(123, plain,![X5]:![X6]:![X7]:![X8]:((((((~(ilf_type(X8,set_type))|(~(member(ordered_pair(X7,X8),X5))|member(ordered_pair(X7,X8),X6)))|~(ilf_type(X7,set_type)))|~(subset(X5,X6)))&((ilf_type(esk7_2(X5,X6),set_type)&(ilf_type(esk8_2(X5,X6),set_type)&(member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)&~(member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X6)))))|subset(X5,X6)))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type))),inference(shift_quantors,[status(thm)],[122])).
% fof(124, plain,![X5]:![X6]:![X7]:![X8]:((((((~(ilf_type(X8,set_type))|(~(member(ordered_pair(X7,X8),X5))|member(ordered_pair(X7,X8),X6)))|~(ilf_type(X7,set_type)))|~(subset(X5,X6)))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type)))&((((ilf_type(esk7_2(X5,X6),set_type)|subset(X5,X6))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type)))&((((ilf_type(esk8_2(X5,X6),set_type)|subset(X5,X6))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type)))&((((member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)|subset(X5,X6))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type)))&(((~(member(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X6))|subset(X5,X6))|~(ilf_type(X6,binary_relation_type)))|~(ilf_type(X5,binary_relation_type))))))),inference(distribute,[status(thm)],[123])).
% cnf(125,plain,(subset(X1,X2)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,binary_relation_type)|~member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X2)),inference(split_conjunct,[status(thm)],[124])).
% cnf(126,plain,(subset(X1,X2)|member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)|~ilf_type(X1,binary_relation_type)|~ilf_type(X2,binary_relation_type)),inference(split_conjunct,[status(thm)],[124])).
% fof(130, 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)],[19])).
% fof(131, 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)],[130])).
% fof(132, 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)],[131])).
% cnf(133,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)],[132])).
% fof(188, negated_conjecture,?[X1]:(ilf_type(X1,set_type)&~(subset(identity_relation_of(X1),cross_product(X1,X1)))),inference(fof_nnf,[status(thm)],[29])).
% fof(189, negated_conjecture,?[X2]:(ilf_type(X2,set_type)&~(subset(identity_relation_of(X2),cross_product(X2,X2)))),inference(variable_rename,[status(thm)],[188])).
% fof(190, negated_conjecture,(ilf_type(esk15_0,set_type)&~(subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)))),inference(skolemize,[status(esa)],[189])).
% cnf(191,negated_conjecture,(~subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),inference(split_conjunct,[status(thm)],[190])).
% cnf(197,plain,(ilf_type(identity_relation_of(X1),binary_relation_type)|$false),inference(rw,[status(thm)],[54,42,theory(equality)])).
% cnf(198,plain,(ilf_type(identity_relation_of(X1),binary_relation_type)),inference(cn,[status(thm)],[197,theory(equality)])).
% cnf(208,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)|$false),inference(rw,[status(thm)],[133,42,theory(equality)])).
% cnf(209,plain,(ilf_type(X1,binary_relation_type)|~relation_like(X1)),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(232,plain,(ilf_type(cross_product(X1,X2),relation_type(X1,X2))|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[77,42,theory(equality)])).
% cnf(233,plain,(ilf_type(cross_product(X1,X2),relation_type(X1,X2))|$false|$false),inference(rw,[status(thm)],[232,42,theory(equality)])).
% cnf(234,plain,(ilf_type(cross_product(X1,X2),relation_type(X1,X2))),inference(cn,[status(thm)],[233,theory(equality)])).
% cnf(251,plain,(relation_like(X3)|$false|~ilf_type(X1,set_type)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[94,42,theory(equality)])).
% cnf(252,plain,(relation_like(X3)|$false|$false|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(rw,[status(thm)],[251,42,theory(equality)])).
% cnf(253,plain,(relation_like(X3)|~ilf_type(X3,subset_type(cross_product(X1,X2)))),inference(cn,[status(thm)],[252,theory(equality)])).
% cnf(270,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|~ilf_type(X1,set_type)|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[90,42,theory(equality)])).
% cnf(271,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|$false|$false|~ilf_type(X3,relation_type(X1,X2))),inference(rw,[status(thm)],[270,42,theory(equality)])).
% cnf(272,plain,(ilf_type(X3,subset_type(cross_product(X1,X2)))|~ilf_type(X3,relation_type(X1,X2))),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(280,plain,(X2=X3|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[100,42,theory(equality)])).
% cnf(281,plain,(X2=X3|$false|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[280,42,theory(equality)])).
% cnf(282,plain,(X2=X3|$false|$false|$false|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[281,42,theory(equality)])).
% cnf(283,plain,(X2=X3|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(cn,[status(thm)],[282,theory(equality)])).
% cnf(313,plain,(member(X2,X1)|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[101,42,theory(equality)])).
% cnf(314,plain,(member(X2,X1)|$false|$false|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[313,42,theory(equality)])).
% cnf(315,plain,(member(X2,X1)|$false|$false|$false|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(rw,[status(thm)],[314,42,theory(equality)])).
% cnf(316,plain,(member(X2,X1)|~member(ordered_pair(X2,X3),identity_relation_of(X1))),inference(cn,[status(thm)],[315,theory(equality)])).
% cnf(362,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|~ilf_type(X3,set_type)|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[82,42,theory(equality)])).
% cnf(363,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|~ilf_type(X2,set_type)|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[362,42,theory(equality)])).
% cnf(364,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|$false|~ilf_type(X1,set_type)),inference(rw,[status(thm)],[363,42,theory(equality)])).
% cnf(365,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)|$false|$false|$false|$false),inference(rw,[status(thm)],[364,42,theory(equality)])).
% cnf(366,plain,(member(ordered_pair(X1,X2),cross_product(X3,X4))|~member(X2,X4)|~member(X1,X3)),inference(cn,[status(thm)],[365,theory(equality)])).
% cnf(384,plain,(member(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)|subset(X1,X2)|~ilf_type(X1,binary_relation_type)|~relation_like(X2)),inference(spm,[status(thm)],[126,209,theory(equality)])).
% cnf(402,plain,(relation_like(X1)|~ilf_type(X1,relation_type(X2,X3))),inference(spm,[status(thm)],[253,272,theory(equality)])).
% cnf(427,plain,(subset(X1,cross_product(X2,X3))|~ilf_type(cross_product(X2,X3),binary_relation_type)|~ilf_type(X1,binary_relation_type)|~member(esk8_2(X1,cross_product(X2,X3)),X3)|~member(esk7_2(X1,cross_product(X2,X3)),X2)),inference(spm,[status(thm)],[125,366,theory(equality)])).
% cnf(478,plain,(member(ordered_pair(esk7_2(identity_relation_of(X1),X2),esk8_2(identity_relation_of(X1),X2)),identity_relation_of(X1))|subset(identity_relation_of(X1),X2)|~relation_like(X2)),inference(spm,[status(thm)],[384,198,theory(equality)])).
% cnf(496,plain,(relation_like(cross_product(X1,X2))),inference(spm,[status(thm)],[402,234,theory(equality)])).
% cnf(2858,plain,(esk7_2(identity_relation_of(X1),X2)=esk8_2(identity_relation_of(X1),X2)|subset(identity_relation_of(X1),X2)|~relation_like(X2)),inference(spm,[status(thm)],[283,478,theory(equality)])).
% cnf(2859,plain,(member(esk7_2(identity_relation_of(X1),X2),X1)|subset(identity_relation_of(X1),X2)|~relation_like(X2)),inference(spm,[status(thm)],[316,478,theory(equality)])).
% cnf(3000,negated_conjecture,(esk8_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))=esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))|~relation_like(cross_product(esk15_0,esk15_0))),inference(spm,[status(thm)],[191,2858,theory(equality)])).
% cnf(3001,negated_conjecture,(esk8_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))=esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))|$false),inference(rw,[status(thm)],[3000,496,theory(equality)])).
% cnf(3002,negated_conjecture,(esk8_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))=esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))),inference(cn,[status(thm)],[3001,theory(equality)])).
% cnf(3004,negated_conjecture,(subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))|~member(esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0)|~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)|~ilf_type(identity_relation_of(esk15_0),binary_relation_type)),inference(spm,[status(thm)],[427,3002,theory(equality)])).
% cnf(3009,negated_conjecture,(subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))|~member(esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0)|~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)|$false),inference(rw,[status(thm)],[3004,198,theory(equality)])).
% cnf(3010,negated_conjecture,(subset(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0))|~member(esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0)|~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)),inference(cn,[status(thm)],[3009,theory(equality)])).
% cnf(3011,negated_conjecture,(~member(esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0)|~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)),inference(sr,[status(thm)],[3010,191,theory(equality)])).
% cnf(3375,plain,(member(esk7_2(identity_relation_of(X1),cross_product(X2,X3)),X1)|subset(identity_relation_of(X1),cross_product(X2,X3))),inference(spm,[status(thm)],[2859,496,theory(equality)])).
% cnf(3566,negated_conjecture,(member(esk7_2(identity_relation_of(esk15_0),cross_product(esk15_0,esk15_0)),esk15_0)),inference(spm,[status(thm)],[191,3375,theory(equality)])).
% cnf(3674,negated_conjecture,($false|~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)),inference(rw,[status(thm)],[3011,3566,theory(equality)])).
% cnf(3675,negated_conjecture,(~ilf_type(cross_product(esk15_0,esk15_0),binary_relation_type)),inference(cn,[status(thm)],[3674,theory(equality)])).
% cnf(3676,negated_conjecture,(~relation_like(cross_product(esk15_0,esk15_0))),inference(spm,[status(thm)],[3675,209,theory(equality)])).
% cnf(3677,negated_conjecture,($false),inference(rw,[status(thm)],[3676,496,theory(equality)])).
% cnf(3678,negated_conjecture,($false),inference(cn,[status(thm)],[3677,theory(equality)])).
% cnf(3679,negated_conjecture,($false),3678,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 516
% # ...of these trivial : 17
% # ...subsumed : 163
% # ...remaining for further processing: 336
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 2
% # Generated clauses : 3066
% # ...of the previous two non-trivial : 2933
% # Contextual simplify-reflections : 32
% # Paramodulations : 3060
% # Factorizations : 2
% # Equation resolutions : 4
% # Current number of processed clauses: 287
% # Positive orientable unit clauses: 25
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 257
% # Current number of unprocessed clauses: 2522
% # ...number of literals in the above : 8301
% # Clause-clause subsumption calls (NU) : 3499
% # Rec. Clause-clause subsumption calls : 2931
% # Unit Clause-clause subsumption calls : 36
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 320 leaves, 1.56+/-1.530 terms/leaf
% # Paramod-from index: 122 leaves, 1.48+/-1.307 terms/leaf
% # Paramod-into index: 279 leaves, 1.53+/-1.362 terms/leaf
% # -------------------------------------------------
% # User time : 0.138 s
% # System time : 0.010 s
% # Total time : 0.148 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.29 CPU 0.38 WC
% FINAL PrfWatch: 0.29 CPU 0.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP3056/SET665+3.tptp
%
%------------------------------------------------------------------------------