TSTP Solution File: SEU291+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU291+2 : TPTP v5.0.0. Released v3.3.0.
% 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 : Thu Dec 30 03:08:40 EST 2010
% Result : Theorem 13.36s
% Output : Solution 13.36s
% 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/SystemOnTPTP3617/SEU291+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3617/SEU291+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3617/SEU291+2.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 3713
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% # Preprocessing time : 0.159 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.03 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))),file('/tmp/SRASS.s.p', d10_xboole_0)).
% fof(3, axiom,![X1]:![X2]:subset(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(4, axiom,![X1]:![X2]:![X3]:![X4]:(relation_of2_as_subset(X4,X3,X1)=>(subset(X1,X2)=>relation_of2_as_subset(X4,X3,X2))),file('/tmp/SRASS.s.p', t16_relset_1)).
% fof(5, axiom,![X1]:![X2]:![X3]:((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3)),file('/tmp/SRASS.s.p', t1_xboole_1)).
% fof(6, axiom,![X1]:subset(empty_set,X1),file('/tmp/SRASS.s.p', t2_xboole_1)).
% fof(8, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(((X2=empty_set=>X1=empty_set)=>(quasi_total(X3,X1,X2)<=>X1=relation_dom_as_subset(X1,X2,X3)))&(X2=empty_set=>(X1=empty_set|(quasi_total(X3,X1,X2)<=>X3=empty_set))))),file('/tmp/SRASS.s.p', d1_funct_2)).
% fof(13, axiom,![X1]:(X1=empty_set<=>![X2]:~(in(X2,X1))),file('/tmp/SRASS.s.p', d1_xboole_0)).
% fof(15, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(27, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(41, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)<=>relation_of2(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(46, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(subset(relation_dom(X3),X1)&subset(relation_rng(X3),X2))),file('/tmp/SRASS.s.p', t12_relset_1)).
% fof(265, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)=>relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),file('/tmp/SRASS.s.p', redefinition_k4_relset_1)).
% fof(325, axiom,?[X1]:((((((relation(X1)&function(X1))&one_to_one(X1))&empty(X1))&epsilon_transitive(X1))&epsilon_connected(X1))&ordinal(X1)),file('/tmp/SRASS.s.p', rc2_ordinal1)).
% fof(384, conjecture,![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(subset(X2,X3)=>((X2=empty_set&~(X1=empty_set))|((function(X4)&quasi_total(X4,X1,X3))&relation_of2_as_subset(X4,X1,X3))))),file('/tmp/SRASS.s.p', t9_funct_2)).
% fof(385, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(subset(X2,X3)=>((X2=empty_set&~(X1=empty_set))|((function(X4)&quasi_total(X4,X1,X3))&relation_of2_as_subset(X4,X1,X3)))))),inference(assume_negation,[status(cth)],[384])).
% fof(386, plain,![X1]:(X1=empty_set<=>![X2]:~(in(X2,X1))),inference(fof_simplification,[status(thm)],[13,theory(equality)])).
% fof(434, plain,![X1]:![X2]:((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[1])).
% fof(435, plain,![X3]:![X4]:((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[434])).
% fof(436, plain,![X3]:![X4]:(((subset(X3,X4)|~(X3=X4))&(subset(X4,X3)|~(X3=X4)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(distribute,[status(thm)],[435])).
% cnf(437,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[436])).
% fof(443, plain,![X3]:![X4]:subset(X3,X3),inference(variable_rename,[status(thm)],[3])).
% cnf(444,plain,(subset(X1,X1)),inference(split_conjunct,[status(thm)],[443])).
% fof(445, plain,![X1]:![X2]:![X3]:![X4]:(~(relation_of2_as_subset(X4,X3,X1))|(~(subset(X1,X2))|relation_of2_as_subset(X4,X3,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(446, plain,![X5]:![X6]:![X7]:![X8]:(~(relation_of2_as_subset(X8,X7,X5))|(~(subset(X5,X6))|relation_of2_as_subset(X8,X7,X6))),inference(variable_rename,[status(thm)],[445])).
% cnf(447,plain,(relation_of2_as_subset(X1,X2,X3)|~subset(X4,X3)|~relation_of2_as_subset(X1,X2,X4)),inference(split_conjunct,[status(thm)],[446])).
% fof(448, plain,![X1]:![X2]:![X3]:((~(subset(X1,X2))|~(subset(X2,X3)))|subset(X1,X3)),inference(fof_nnf,[status(thm)],[5])).
% fof(449, plain,![X4]:![X5]:![X6]:((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6)),inference(variable_rename,[status(thm)],[448])).
% cnf(450,plain,(subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3)),inference(split_conjunct,[status(thm)],[449])).
% fof(451, plain,![X2]:subset(empty_set,X2),inference(variable_rename,[status(thm)],[6])).
% cnf(452,plain,(subset(empty_set,X1)),inference(split_conjunct,[status(thm)],[451])).
% fof(456, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|(((X2=empty_set&~(X1=empty_set))|((~(quasi_total(X3,X1,X2))|X1=relation_dom_as_subset(X1,X2,X3))&(~(X1=relation_dom_as_subset(X1,X2,X3))|quasi_total(X3,X1,X2))))&(~(X2=empty_set)|(X1=empty_set|((~(quasi_total(X3,X1,X2))|X3=empty_set)&(~(X3=empty_set)|quasi_total(X3,X1,X2))))))),inference(fof_nnf,[status(thm)],[8])).
% fof(457, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|(((X5=empty_set&~(X4=empty_set))|((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))&(~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))))&(~(X5=empty_set)|(X4=empty_set|((~(quasi_total(X6,X4,X5))|X6=empty_set)&(~(X6=empty_set)|quasi_total(X6,X4,X5))))))),inference(variable_rename,[status(thm)],[456])).
% fof(458, plain,![X4]:![X5]:![X6]:((((((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))|X5=empty_set)|~(relation_of2_as_subset(X6,X4,X5)))&(((~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))|X5=empty_set)|~(relation_of2_as_subset(X6,X4,X5))))&((((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))|~(X4=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))&(((~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))|~(X4=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))))&(((((~(quasi_total(X6,X4,X5))|X6=empty_set)|X4=empty_set)|~(X5=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))&((((~(X6=empty_set)|quasi_total(X6,X4,X5))|X4=empty_set)|~(X5=empty_set))|~(relation_of2_as_subset(X6,X4,X5))))),inference(distribute,[status(thm)],[457])).
% cnf(461,plain,(quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|X2!=empty_set|X2!=relation_dom_as_subset(X2,X3,X1)),inference(split_conjunct,[status(thm)],[458])).
% cnf(463,plain,(X3=empty_set|quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|X2!=relation_dom_as_subset(X2,X3,X1)),inference(split_conjunct,[status(thm)],[458])).
% cnf(464,plain,(X3=empty_set|X2=relation_dom_as_subset(X2,X3,X1)|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3)),inference(split_conjunct,[status(thm)],[458])).
% fof(485, plain,![X1]:((~(X1=empty_set)|![X2]:~(in(X2,X1)))&(?[X2]:in(X2,X1)|X1=empty_set)),inference(fof_nnf,[status(thm)],[386])).
% fof(486, plain,![X3]:((~(X3=empty_set)|![X4]:~(in(X4,X3)))&(?[X5]:in(X5,X3)|X3=empty_set)),inference(variable_rename,[status(thm)],[485])).
% fof(487, plain,![X3]:((~(X3=empty_set)|![X4]:~(in(X4,X3)))&(in(esk2_1(X3),X3)|X3=empty_set)),inference(skolemize,[status(esa)],[486])).
% fof(488, plain,![X3]:![X4]:((~(in(X4,X3))|~(X3=empty_set))&(in(esk2_1(X3),X3)|X3=empty_set)),inference(shift_quantors,[status(thm)],[487])).
% cnf(490,plain,(X1!=empty_set|~in(X2,X1)),inference(split_conjunct,[status(thm)],[488])).
% fof(494, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[15])).
% fof(495, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[494])).
% cnf(496,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[495])).
% fof(529, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[27])).
% fof(530, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[529])).
% fof(531, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk4_2(X4,X5),X4)&~(in(esk4_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[530])).
% fof(532, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk4_2(X4,X5),X4)&~(in(esk4_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[531])).
% fof(533, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk4_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk4_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[532])).
% cnf(535,plain,(subset(X1,X2)|in(esk4_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[533])).
% fof(572, plain,![X1]:![X2]:![X3]:((~(relation_of2_as_subset(X3,X1,X2))|relation_of2(X3,X1,X2))&(~(relation_of2(X3,X1,X2))|relation_of2_as_subset(X3,X1,X2))),inference(fof_nnf,[status(thm)],[41])).
% fof(573, plain,![X4]:![X5]:![X6]:((~(relation_of2_as_subset(X6,X4,X5))|relation_of2(X6,X4,X5))&(~(relation_of2(X6,X4,X5))|relation_of2_as_subset(X6,X4,X5))),inference(variable_rename,[status(thm)],[572])).
% cnf(575,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[573])).
% fof(599, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|(subset(relation_dom(X3),X1)&subset(relation_rng(X3),X2))),inference(fof_nnf,[status(thm)],[46])).
% fof(600, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|(subset(relation_dom(X6),X4)&subset(relation_rng(X6),X5))),inference(variable_rename,[status(thm)],[599])).
% fof(601, plain,![X4]:![X5]:![X6]:((subset(relation_dom(X6),X4)|~(relation_of2_as_subset(X6,X4,X5)))&(subset(relation_rng(X6),X5)|~(relation_of2_as_subset(X6,X4,X5)))),inference(distribute,[status(thm)],[600])).
% cnf(603,plain,(subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[601])).
% fof(2307, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),inference(fof_nnf,[status(thm)],[265])).
% fof(2308, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|relation_dom_as_subset(X4,X5,X6)=relation_dom(X6)),inference(variable_rename,[status(thm)],[2307])).
% cnf(2309,plain,(relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[2308])).
% fof(2695, plain,?[X2]:((((((relation(X2)&function(X2))&one_to_one(X2))&empty(X2))&epsilon_transitive(X2))&epsilon_connected(X2))&ordinal(X2)),inference(variable_rename,[status(thm)],[325])).
% fof(2696, plain,((((((relation(esk247_0)&function(esk247_0))&one_to_one(esk247_0))&empty(esk247_0))&epsilon_transitive(esk247_0))&epsilon_connected(esk247_0))&ordinal(esk247_0)),inference(skolemize,[status(esa)],[2695])).
% cnf(2700,plain,(empty(esk247_0)),inference(split_conjunct,[status(thm)],[2696])).
% fof(2874, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))&(subset(X2,X3)&((~(X2=empty_set)|X1=empty_set)&((~(function(X4))|~(quasi_total(X4,X1,X3)))|~(relation_of2_as_subset(X4,X1,X3)))))),inference(fof_nnf,[status(thm)],[385])).
% fof(2875, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(((function(X8)&quasi_total(X8,X5,X6))&relation_of2_as_subset(X8,X5,X6))&(subset(X6,X7)&((~(X6=empty_set)|X5=empty_set)&((~(function(X8))|~(quasi_total(X8,X5,X7)))|~(relation_of2_as_subset(X8,X5,X7)))))),inference(variable_rename,[status(thm)],[2874])).
% fof(2876, negated_conjecture,(((function(esk256_0)&quasi_total(esk256_0,esk253_0,esk254_0))&relation_of2_as_subset(esk256_0,esk253_0,esk254_0))&(subset(esk254_0,esk255_0)&((~(esk254_0=empty_set)|esk253_0=empty_set)&((~(function(esk256_0))|~(quasi_total(esk256_0,esk253_0,esk255_0)))|~(relation_of2_as_subset(esk256_0,esk253_0,esk255_0)))))),inference(skolemize,[status(esa)],[2875])).
% cnf(2877,negated_conjecture,(~relation_of2_as_subset(esk256_0,esk253_0,esk255_0)|~quasi_total(esk256_0,esk253_0,esk255_0)|~function(esk256_0)),inference(split_conjunct,[status(thm)],[2876])).
% cnf(2878,negated_conjecture,(esk253_0=empty_set|esk254_0!=empty_set),inference(split_conjunct,[status(thm)],[2876])).
% cnf(2879,negated_conjecture,(subset(esk254_0,esk255_0)),inference(split_conjunct,[status(thm)],[2876])).
% cnf(2880,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,esk254_0)),inference(split_conjunct,[status(thm)],[2876])).
% cnf(2881,negated_conjecture,(quasi_total(esk256_0,esk253_0,esk254_0)),inference(split_conjunct,[status(thm)],[2876])).
% cnf(2882,negated_conjecture,(function(esk256_0)),inference(split_conjunct,[status(thm)],[2876])).
% cnf(3537,negated_conjecture,($false|~relation_of2_as_subset(esk256_0,esk253_0,esk255_0)|~quasi_total(esk256_0,esk253_0,esk255_0)),inference(rw,[status(thm)],[2877,2882,theory(equality)])).
% cnf(3538,negated_conjecture,(~relation_of2_as_subset(esk256_0,esk253_0,esk255_0)|~quasi_total(esk256_0,esk253_0,esk255_0)),inference(cn,[status(thm)],[3537,theory(equality)])).
% cnf(4093,plain,(empty_set=esk247_0),inference(spm,[status(thm)],[496,2700,theory(equality)])).
% cnf(4146,negated_conjecture,(esk255_0=esk254_0|~subset(esk255_0,esk254_0)),inference(spm,[status(thm)],[437,2879,theory(equality)])).
% cnf(4216,negated_conjecture,(subset(X1,esk255_0)|~subset(X1,esk254_0)),inference(spm,[status(thm)],[450,2879,theory(equality)])).
% cnf(4225,negated_conjecture,(relation_of2(esk256_0,esk253_0,esk254_0)),inference(spm,[status(thm)],[575,2880,theory(equality)])).
% cnf(4578,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,X1)|~subset(esk254_0,X1)),inference(spm,[status(thm)],[447,2880,theory(equality)])).
% cnf(72275,plain,(quasi_total(X1,X2,X3)|relation_dom_as_subset(X2,X3,X1)!=X2|esk247_0!=X2|~relation_of2_as_subset(X1,X2,X3)),inference(rw,[status(thm)],[461,4093,theory(equality)])).
% cnf(72277,plain,(esk247_0=X1|quasi_total(X2,X3,X1)|relation_dom_as_subset(X3,X1,X2)!=X3|~relation_of2_as_subset(X2,X3,X1)),inference(rw,[status(thm)],[463,4093,theory(equality)])).
% cnf(72278,plain,(relation_dom_as_subset(X1,X2,X3)=X1|esk247_0=X2|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)),inference(rw,[status(thm)],[464,4093,theory(equality)])).
% cnf(72312,plain,(esk247_0!=X1|~in(X2,X1)),inference(rw,[status(thm)],[490,4093,theory(equality)])).
% cnf(72333,plain,(subset(esk247_0,X1)),inference(rw,[status(thm)],[452,4093,theory(equality)])).
% cnf(72348,negated_conjecture,(esk247_0=esk253_0|empty_set!=esk254_0),inference(rw,[status(thm)],[2878,4093,theory(equality)])).
% cnf(72349,negated_conjecture,(esk247_0=esk253_0|esk247_0!=esk254_0),inference(rw,[status(thm)],[72348,4093,theory(equality)])).
% cnf(72967,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,esk255_0)|~subset(esk254_0,esk254_0)),inference(spm,[status(thm)],[4578,4216,theory(equality)])).
% cnf(72984,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,esk255_0)|$false),inference(rw,[status(thm)],[72967,444,theory(equality)])).
% cnf(72985,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,esk255_0)),inference(cn,[status(thm)],[72984,theory(equality)])).
% cnf(73104,negated_conjecture,(relation_of2(esk256_0,esk253_0,esk255_0)),inference(spm,[status(thm)],[575,72985,theory(equality)])).
% cnf(73111,negated_conjecture,(~quasi_total(esk256_0,esk253_0,esk255_0)|$false),inference(rw,[status(thm)],[3538,72985,theory(equality)])).
% cnf(73112,negated_conjecture,(~quasi_total(esk256_0,esk253_0,esk255_0)),inference(cn,[status(thm)],[73111,theory(equality)])).
% cnf(73130,negated_conjecture,(relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0|esk247_0!=esk253_0|~relation_of2_as_subset(esk256_0,esk253_0,esk255_0)),inference(spm,[status(thm)],[73112,72275,theory(equality)])).
% cnf(73131,negated_conjecture,(relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0|esk247_0!=esk253_0|$false),inference(rw,[status(thm)],[73130,72985,theory(equality)])).
% cnf(73132,negated_conjecture,(relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0|esk247_0!=esk253_0),inference(cn,[status(thm)],[73131,theory(equality)])).
% cnf(73209,negated_conjecture,(esk247_0=esk255_0|relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0|~relation_of2_as_subset(esk256_0,esk253_0,esk255_0)),inference(spm,[status(thm)],[73112,72277,theory(equality)])).
% cnf(73212,negated_conjecture,(esk247_0=esk255_0|relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0|$false),inference(rw,[status(thm)],[73209,72985,theory(equality)])).
% cnf(73213,negated_conjecture,(esk247_0=esk255_0|relation_dom_as_subset(esk253_0,esk255_0,esk256_0)!=esk253_0),inference(cn,[status(thm)],[73212,theory(equality)])).
% cnf(73495,negated_conjecture,(relation_dom_as_subset(esk253_0,esk254_0,esk256_0)=esk253_0|esk247_0=esk254_0|~relation_of2_as_subset(esk256_0,esk253_0,esk254_0)),inference(spm,[status(thm)],[72278,2881,theory(equality)])).
% cnf(73499,negated_conjecture,(relation_dom_as_subset(esk253_0,esk254_0,esk256_0)=esk253_0|esk247_0=esk254_0|$false),inference(rw,[status(thm)],[73495,2880,theory(equality)])).
% cnf(73500,negated_conjecture,(relation_dom_as_subset(esk253_0,esk254_0,esk256_0)=esk253_0|esk247_0=esk254_0),inference(cn,[status(thm)],[73499,theory(equality)])).
% cnf(74273,plain,(subset(X1,X2)|esk247_0!=X1),inference(spm,[status(thm)],[72312,535,theory(equality)])).
% cnf(74470,negated_conjecture,(esk255_0=esk254_0|esk247_0!=esk255_0),inference(spm,[status(thm)],[4146,74273,theory(equality)])).
% cnf(74720,negated_conjecture,(esk253_0=relation_dom(esk256_0)|esk254_0=esk247_0|~relation_of2(esk256_0,esk253_0,esk254_0)),inference(spm,[status(thm)],[2309,73500,theory(equality)])).
% cnf(74722,negated_conjecture,(esk253_0=relation_dom(esk256_0)|esk254_0=esk247_0|$false),inference(rw,[status(thm)],[74720,4225,theory(equality)])).
% cnf(74723,negated_conjecture,(esk253_0=relation_dom(esk256_0)|esk254_0=esk247_0),inference(cn,[status(thm)],[74722,theory(equality)])).
% cnf(75928,negated_conjecture,(relation_dom(esk256_0)!=esk253_0|esk253_0!=esk247_0|~relation_of2(esk256_0,esk253_0,esk255_0)),inference(spm,[status(thm)],[73132,2309,theory(equality)])).
% cnf(75929,negated_conjecture,(relation_dom(esk256_0)!=esk253_0|esk253_0!=esk247_0|$false),inference(rw,[status(thm)],[75928,73104,theory(equality)])).
% cnf(75930,negated_conjecture,(relation_dom(esk256_0)!=esk253_0|esk253_0!=esk247_0),inference(cn,[status(thm)],[75929,theory(equality)])).
% cnf(76572,negated_conjecture,(esk255_0=esk247_0|relation_dom(esk256_0)!=esk253_0|~relation_of2(esk256_0,esk253_0,esk255_0)),inference(spm,[status(thm)],[73213,2309,theory(equality)])).
% cnf(76573,negated_conjecture,(esk255_0=esk247_0|relation_dom(esk256_0)!=esk253_0|$false),inference(rw,[status(thm)],[76572,73104,theory(equality)])).
% cnf(76574,negated_conjecture,(esk255_0=esk247_0|relation_dom(esk256_0)!=esk253_0),inference(cn,[status(thm)],[76573,theory(equality)])).
% cnf(76576,negated_conjecture,(esk255_0=esk247_0|esk254_0=esk247_0),inference(spm,[status(thm)],[76574,74723,theory(equality)])).
% cnf(76578,negated_conjecture,(esk247_0=esk254_0),inference(spm,[status(thm)],[74470,76576,theory(equality)])).
% cnf(76632,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,X1)|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4578,76578,theory(equality)]),72333,theory(equality)])).
% cnf(76633,negated_conjecture,(relation_of2_as_subset(esk256_0,esk253_0,X1)),inference(cn,[status(thm)],[76632,theory(equality)])).
% cnf(76647,negated_conjecture,(esk253_0=esk247_0|$false),inference(rw,[status(thm)],[72349,76578,theory(equality)])).
% cnf(76648,negated_conjecture,(esk253_0=esk247_0),inference(cn,[status(thm)],[76647,theory(equality)])).
% cnf(76691,negated_conjecture,(relation_dom(esk256_0)!=esk247_0|esk253_0!=esk247_0),inference(rw,[status(thm)],[75930,76648,theory(equality)])).
% cnf(76692,negated_conjecture,(relation_dom(esk256_0)!=esk247_0|$false),inference(rw,[status(thm)],[76691,76648,theory(equality)])).
% cnf(76693,negated_conjecture,(relation_dom(esk256_0)!=esk247_0),inference(cn,[status(thm)],[76692,theory(equality)])).
% cnf(76712,negated_conjecture,(relation_of2_as_subset(esk256_0,esk247_0,X1)),inference(rw,[status(thm)],[76633,76648,theory(equality)])).
% cnf(76713,negated_conjecture,(subset(relation_dom(esk256_0),esk247_0)),inference(spm,[status(thm)],[603,76712,theory(equality)])).
% cnf(76803,negated_conjecture,(esk247_0=relation_dom(esk256_0)|~subset(esk247_0,relation_dom(esk256_0))),inference(spm,[status(thm)],[437,76713,theory(equality)])).
% cnf(76819,negated_conjecture,(esk247_0=relation_dom(esk256_0)|$false),inference(rw,[status(thm)],[76803,72333,theory(equality)])).
% cnf(76820,negated_conjecture,(esk247_0=relation_dom(esk256_0)),inference(cn,[status(thm)],[76819,theory(equality)])).
% cnf(76944,negated_conjecture,($false),inference(rw,[status(thm)],[76693,76820,theory(equality)])).
% cnf(76945,negated_conjecture,($false),inference(cn,[status(thm)],[76944,theory(equality)])).
% cnf(76946,negated_conjecture,($false),76945,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3070
% # ...of these trivial : 26
% # ...subsumed : 104
% # ...remaining for further processing: 2940
% # Other redundant clauses eliminated : 407
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 130
% # Generated clauses : 69316
% # ...of the previous two non-trivial : 68588
% # Contextual simplify-reflections : 173
% # Paramodulations : 68817
% # Factorizations : 14
% # Equation resolutions : 520
% # Current number of processed clauses: 1360
% # Positive orientable unit clauses: 113
% # Positive unorientable unit clauses: 3
% # Negative unit clauses : 15
% # Non-unit-clauses : 1229
% # Current number of unprocessed clauses: 65233
% # ...number of literals in the above : 438744
% # Clause-clause subsumption calls (NU) : 779144
% # Rec. Clause-clause subsumption calls : 45611
% # Unit Clause-clause subsumption calls : 19999
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 85
% # Indexed BW rewrite successes : 44
% # Backwards rewriting index: 1108 leaves, 1.69+/-4.354 terms/leaf
% # Paramod-from index: 389 leaves, 1.16+/-1.900 terms/leaf
% # Paramod-into index: 880 leaves, 1.46+/-3.487 terms/leaf
% # -------------------------------------------------
% # User time : 4.882 s
% # System time : 0.130 s
% # Total time : 5.012 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.70 CPU 6.84 WC
% FINAL PrfWatch: 6.70 CPU 6.84 WC
% SZS output end Solution for /tmp/SystemOnTPTP3617/SEU291+2.tptp
%
%------------------------------------------------------------------------------