TSTP Solution File: SEU249+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU249+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.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 02:27:20 EST 2010
% Result : Theorem 3.63s
% Output : Solution 3.63s
% 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/SystemOnTPTP607/SEU249+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP607/SEU249+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP607/SEU249+1.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 703
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.016 s
% PrfWatch: 1.93 CPU 2.01 WC
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(relation(X1)=>relation(relation_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k2_wellord1)).
% fof(3, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(4, axiom,![X1]:?[X2]:element(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(9, axiom,![X1]:![X2]:(relation(X1)=>relation(relation_dom_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k7_relat_1)).
% fof(10, axiom,![X1]:![X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k8_relat_1)).
% fof(12, axiom,![X1]:![X2]:(relation(X2)=>relation_restriction(X2,X1)=relation_dom_restriction(relation_rng_restriction(X1,X2),X1)),file('/tmp/SRASS.s.p', t17_wellord1)).
% fof(13, axiom,![X1]:![X2]:(relation(X2)=>relation_restriction(X2,X1)=relation_rng_restriction(X1,relation_dom_restriction(X2,X1))),file('/tmp/SRASS.s.p', t18_wellord1)).
% fof(14, axiom,![X1]:![X2]:![X3]:(X3=set_union2(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)|in(X4,X2)))),file('/tmp/SRASS.s.p', d2_xboole_0)).
% fof(15, axiom,![X1]:![X2]:![X3]:(X3=set_intersection2(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&in(X4,X2)))),file('/tmp/SRASS.s.p', d3_xboole_0)).
% fof(17, axiom,![X1]:(relation(X1)=>relation_field(X1)=set_union2(relation_dom(X1),relation_rng(X1))),file('/tmp/SRASS.s.p', d6_relat_1)).
% fof(20, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(21, axiom,![X1]:![X2]:![X3]:((in(X1,X2)&element(X2,powerset(X3)))=>element(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(24, axiom,![X1]:set_intersection2(X1,empty_set)=empty_set,file('/tmp/SRASS.s.p', t2_boole)).
% fof(26, axiom,![X1]:![X2]:(relation(X2)=>relation_rng(relation_rng_restriction(X1,X2))=set_intersection2(relation_rng(X2),X1)),file('/tmp/SRASS.s.p', t119_relat_1)).
% fof(27, axiom,![X1]:![X2]:(relation(X2)=>relation_dom(relation_dom_restriction(X2,X1))=set_intersection2(relation_dom(X2),X1)),file('/tmp/SRASS.s.p', t90_relat_1)).
% fof(29, axiom,![X1]:![X2]:![X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(34, axiom,![X1]:![X2]:(relation(X2)=>subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))),file('/tmp/SRASS.s.p', l29_wellord1)).
% fof(35, axiom,![X1]:![X2]:(relation(X2)=>subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2))),file('/tmp/SRASS.s.p', t99_relat_1)).
% fof(37, axiom,![X1]:![X2]:set_intersection2(X1,X2)=set_intersection2(X2,X1),file('/tmp/SRASS.s.p', commutativity_k3_xboole_0)).
% fof(38, axiom,empty(empty_set),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(41, axiom,![X1]:![X2]:(element(X1,powerset(X2))<=>subset(X1,X2)),file('/tmp/SRASS.s.p', t3_subset)).
% fof(42, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(52, conjecture,![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_field(relation_restriction(X3,X2)))=>(in(X1,relation_field(X3))&in(X1,X2)))),file('/tmp/SRASS.s.p', t19_wellord1)).
% fof(53, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_field(relation_restriction(X3,X2)))=>(in(X1,relation_field(X3))&in(X1,X2))))),inference(assume_negation,[status(cth)],[52])).
% fof(61, plain,![X1]:![X2]:(~(relation(X1))|relation(relation_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(62, plain,![X3]:![X4]:(~(relation(X3))|relation(relation_restriction(X3,X4))),inference(variable_rename,[status(thm)],[61])).
% cnf(63,plain,(relation(relation_restriction(X1,X2))|~relation(X1)),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(65, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[64])).
% cnf(66,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(67, plain,![X3]:?[X4]:element(X4,X3),inference(variable_rename,[status(thm)],[4])).
% fof(68, plain,![X3]:element(esk1_1(X3),X3),inference(skolemize,[status(esa)],[67])).
% cnf(69,plain,(element(esk1_1(X1),X1)),inference(split_conjunct,[status(thm)],[68])).
% fof(83, plain,![X1]:![X2]:(~(relation(X1))|relation(relation_dom_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(84, plain,![X3]:![X4]:(~(relation(X3))|relation(relation_dom_restriction(X3,X4))),inference(variable_rename,[status(thm)],[83])).
% cnf(85,plain,(relation(relation_dom_restriction(X1,X2))|~relation(X1)),inference(split_conjunct,[status(thm)],[84])).
% fof(86, plain,![X1]:![X2]:(~(relation(X2))|relation(relation_rng_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(87, plain,![X3]:![X4]:(~(relation(X4))|relation(relation_rng_restriction(X3,X4))),inference(variable_rename,[status(thm)],[86])).
% cnf(88,plain,(relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[87])).
% fof(93, plain,![X1]:![X2]:(~(relation(X2))|relation_restriction(X2,X1)=relation_dom_restriction(relation_rng_restriction(X1,X2),X1)),inference(fof_nnf,[status(thm)],[12])).
% fof(94, plain,![X3]:![X4]:(~(relation(X4))|relation_restriction(X4,X3)=relation_dom_restriction(relation_rng_restriction(X3,X4),X3)),inference(variable_rename,[status(thm)],[93])).
% cnf(95,plain,(relation_restriction(X1,X2)=relation_dom_restriction(relation_rng_restriction(X2,X1),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(96, plain,![X1]:![X2]:(~(relation(X2))|relation_restriction(X2,X1)=relation_rng_restriction(X1,relation_dom_restriction(X2,X1))),inference(fof_nnf,[status(thm)],[13])).
% fof(97, plain,![X3]:![X4]:(~(relation(X4))|relation_restriction(X4,X3)=relation_rng_restriction(X3,relation_dom_restriction(X4,X3))),inference(variable_rename,[status(thm)],[96])).
% cnf(98,plain,(relation_restriction(X1,X2)=relation_rng_restriction(X2,relation_dom_restriction(X1,X2))|~relation(X1)),inference(split_conjunct,[status(thm)],[97])).
% fof(99, plain,![X1]:![X2]:![X3]:((~(X3=set_union2(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,X1)|in(X4,X2)))&((~(in(X4,X1))&~(in(X4,X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,X1))&~(in(X4,X2))))&(in(X4,X3)|(in(X4,X1)|in(X4,X2))))|X3=set_union2(X1,X2))),inference(fof_nnf,[status(thm)],[14])).
% fof(100, plain,![X5]:![X6]:![X7]:((~(X7=set_union2(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,X5)|in(X8,X6)))&((~(in(X8,X5))&~(in(X8,X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,X5))&~(in(X9,X6))))&(in(X9,X7)|(in(X9,X5)|in(X9,X6))))|X7=set_union2(X5,X6))),inference(variable_rename,[status(thm)],[99])).
% fof(101, plain,![X5]:![X6]:![X7]:((~(X7=set_union2(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,X5)|in(X8,X6)))&((~(in(X8,X5))&~(in(X8,X6)))|in(X8,X7))))&(((~(in(esk5_3(X5,X6,X7),X7))|(~(in(esk5_3(X5,X6,X7),X5))&~(in(esk5_3(X5,X6,X7),X6))))&(in(esk5_3(X5,X6,X7),X7)|(in(esk5_3(X5,X6,X7),X5)|in(esk5_3(X5,X6,X7),X6))))|X7=set_union2(X5,X6))),inference(skolemize,[status(esa)],[100])).
% fof(102, plain,![X5]:![X6]:![X7]:![X8]:((((~(in(X8,X7))|(in(X8,X5)|in(X8,X6)))&((~(in(X8,X5))&~(in(X8,X6)))|in(X8,X7)))|~(X7=set_union2(X5,X6)))&(((~(in(esk5_3(X5,X6,X7),X7))|(~(in(esk5_3(X5,X6,X7),X5))&~(in(esk5_3(X5,X6,X7),X6))))&(in(esk5_3(X5,X6,X7),X7)|(in(esk5_3(X5,X6,X7),X5)|in(esk5_3(X5,X6,X7),X6))))|X7=set_union2(X5,X6))),inference(shift_quantors,[status(thm)],[101])).
% fof(103, plain,![X5]:![X6]:![X7]:![X8]:((((~(in(X8,X7))|(in(X8,X5)|in(X8,X6)))|~(X7=set_union2(X5,X6)))&(((~(in(X8,X5))|in(X8,X7))|~(X7=set_union2(X5,X6)))&((~(in(X8,X6))|in(X8,X7))|~(X7=set_union2(X5,X6)))))&((((~(in(esk5_3(X5,X6,X7),X5))|~(in(esk5_3(X5,X6,X7),X7)))|X7=set_union2(X5,X6))&((~(in(esk5_3(X5,X6,X7),X6))|~(in(esk5_3(X5,X6,X7),X7)))|X7=set_union2(X5,X6)))&((in(esk5_3(X5,X6,X7),X7)|(in(esk5_3(X5,X6,X7),X5)|in(esk5_3(X5,X6,X7),X6)))|X7=set_union2(X5,X6)))),inference(distribute,[status(thm)],[102])).
% cnf(107,plain,(in(X4,X1)|X1!=set_union2(X2,X3)|~in(X4,X3)),inference(split_conjunct,[status(thm)],[103])).
% cnf(108,plain,(in(X4,X1)|X1!=set_union2(X2,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[103])).
% cnf(109,plain,(in(X4,X3)|in(X4,X2)|X1!=set_union2(X2,X3)|~in(X4,X1)),inference(split_conjunct,[status(thm)],[103])).
% fof(110, plain,![X1]:![X2]:![X3]:((~(X3=set_intersection2(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,X1)&in(X4,X2)))&((~(in(X4,X1))|~(in(X4,X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,X1))|~(in(X4,X2))))&(in(X4,X3)|(in(X4,X1)&in(X4,X2))))|X3=set_intersection2(X1,X2))),inference(fof_nnf,[status(thm)],[15])).
% fof(111, plain,![X5]:![X6]:![X7]:((~(X7=set_intersection2(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,X5)&in(X8,X6)))&((~(in(X8,X5))|~(in(X8,X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,X5))|~(in(X9,X6))))&(in(X9,X7)|(in(X9,X5)&in(X9,X6))))|X7=set_intersection2(X5,X6))),inference(variable_rename,[status(thm)],[110])).
% fof(112, plain,![X5]:![X6]:![X7]:((~(X7=set_intersection2(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,X5)&in(X8,X6)))&((~(in(X8,X5))|~(in(X8,X6)))|in(X8,X7))))&(((~(in(esk6_3(X5,X6,X7),X7))|(~(in(esk6_3(X5,X6,X7),X5))|~(in(esk6_3(X5,X6,X7),X6))))&(in(esk6_3(X5,X6,X7),X7)|(in(esk6_3(X5,X6,X7),X5)&in(esk6_3(X5,X6,X7),X6))))|X7=set_intersection2(X5,X6))),inference(skolemize,[status(esa)],[111])).
% fof(113, plain,![X5]:![X6]:![X7]:![X8]:((((~(in(X8,X7))|(in(X8,X5)&in(X8,X6)))&((~(in(X8,X5))|~(in(X8,X6)))|in(X8,X7)))|~(X7=set_intersection2(X5,X6)))&(((~(in(esk6_3(X5,X6,X7),X7))|(~(in(esk6_3(X5,X6,X7),X5))|~(in(esk6_3(X5,X6,X7),X6))))&(in(esk6_3(X5,X6,X7),X7)|(in(esk6_3(X5,X6,X7),X5)&in(esk6_3(X5,X6,X7),X6))))|X7=set_intersection2(X5,X6))),inference(shift_quantors,[status(thm)],[112])).
% fof(114, plain,![X5]:![X6]:![X7]:![X8]:(((((in(X8,X5)|~(in(X8,X7)))|~(X7=set_intersection2(X5,X6)))&((in(X8,X6)|~(in(X8,X7)))|~(X7=set_intersection2(X5,X6))))&(((~(in(X8,X5))|~(in(X8,X6)))|in(X8,X7))|~(X7=set_intersection2(X5,X6))))&(((~(in(esk6_3(X5,X6,X7),X7))|(~(in(esk6_3(X5,X6,X7),X5))|~(in(esk6_3(X5,X6,X7),X6))))|X7=set_intersection2(X5,X6))&(((in(esk6_3(X5,X6,X7),X5)|in(esk6_3(X5,X6,X7),X7))|X7=set_intersection2(X5,X6))&((in(esk6_3(X5,X6,X7),X6)|in(esk6_3(X5,X6,X7),X7))|X7=set_intersection2(X5,X6))))),inference(distribute,[status(thm)],[113])).
% cnf(115,plain,(X1=set_intersection2(X2,X3)|in(esk6_3(X2,X3,X1),X1)|in(esk6_3(X2,X3,X1),X3)),inference(split_conjunct,[status(thm)],[114])).
% cnf(119,plain,(in(X4,X3)|X1!=set_intersection2(X2,X3)|~in(X4,X1)),inference(split_conjunct,[status(thm)],[114])).
% cnf(120,plain,(in(X4,X2)|X1!=set_intersection2(X2,X3)|~in(X4,X1)),inference(split_conjunct,[status(thm)],[114])).
% fof(123, plain,![X1]:(~(relation(X1))|relation_field(X1)=set_union2(relation_dom(X1),relation_rng(X1))),inference(fof_nnf,[status(thm)],[17])).
% fof(124, plain,![X2]:(~(relation(X2))|relation_field(X2)=set_union2(relation_dom(X2),relation_rng(X2))),inference(variable_rename,[status(thm)],[123])).
% cnf(125,plain,(relation_field(X1)=set_union2(relation_dom(X1),relation_rng(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[124])).
% fof(136, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[20])).
% fof(137, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[136])).
% cnf(138,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[137])).
% fof(139, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|element(X1,X3)),inference(fof_nnf,[status(thm)],[21])).
% fof(140, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|element(X4,X6)),inference(variable_rename,[status(thm)],[139])).
% cnf(141,plain,(element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3)),inference(split_conjunct,[status(thm)],[140])).
% fof(149, plain,![X2]:set_intersection2(X2,empty_set)=empty_set,inference(variable_rename,[status(thm)],[24])).
% cnf(150,plain,(set_intersection2(X1,empty_set)=empty_set),inference(split_conjunct,[status(thm)],[149])).
% fof(156, plain,![X1]:![X2]:(~(relation(X2))|relation_rng(relation_rng_restriction(X1,X2))=set_intersection2(relation_rng(X2),X1)),inference(fof_nnf,[status(thm)],[26])).
% fof(157, plain,![X3]:![X4]:(~(relation(X4))|relation_rng(relation_rng_restriction(X3,X4))=set_intersection2(relation_rng(X4),X3)),inference(variable_rename,[status(thm)],[156])).
% cnf(158,plain,(relation_rng(relation_rng_restriction(X1,X2))=set_intersection2(relation_rng(X2),X1)|~relation(X2)),inference(split_conjunct,[status(thm)],[157])).
% fof(159, plain,![X1]:![X2]:(~(relation(X2))|relation_dom(relation_dom_restriction(X2,X1))=set_intersection2(relation_dom(X2),X1)),inference(fof_nnf,[status(thm)],[27])).
% fof(160, plain,![X3]:![X4]:(~(relation(X4))|relation_dom(relation_dom_restriction(X4,X3))=set_intersection2(relation_dom(X4),X3)),inference(variable_rename,[status(thm)],[159])).
% cnf(161,plain,(relation_dom(relation_dom_restriction(X1,X2))=set_intersection2(relation_dom(X1),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[160])).
% fof(165, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|~(empty(X3))),inference(fof_nnf,[status(thm)],[29])).
% fof(166, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|~(empty(X6))),inference(variable_rename,[status(thm)],[165])).
% cnf(167,plain,(~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)),inference(split_conjunct,[status(thm)],[166])).
% fof(183, plain,![X1]:![X2]:(~(relation(X2))|subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))),inference(fof_nnf,[status(thm)],[34])).
% fof(184, plain,![X3]:![X4]:(~(relation(X4))|subset(relation_dom(relation_rng_restriction(X3,X4)),relation_dom(X4))),inference(variable_rename,[status(thm)],[183])).
% cnf(185,plain,(subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[184])).
% fof(186, plain,![X1]:![X2]:(~(relation(X2))|subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2))),inference(fof_nnf,[status(thm)],[35])).
% fof(187, plain,![X3]:![X4]:(~(relation(X4))|subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4))),inference(variable_rename,[status(thm)],[186])).
% cnf(188,plain,(subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[187])).
% fof(191, plain,![X3]:![X4]:set_intersection2(X3,X4)=set_intersection2(X4,X3),inference(variable_rename,[status(thm)],[37])).
% cnf(192,plain,(set_intersection2(X1,X2)=set_intersection2(X2,X1)),inference(split_conjunct,[status(thm)],[191])).
% cnf(193,plain,(empty(empty_set)),inference(split_conjunct,[status(thm)],[38])).
% fof(198, plain,![X1]:![X2]:((~(element(X1,powerset(X2)))|subset(X1,X2))&(~(subset(X1,X2))|element(X1,powerset(X2)))),inference(fof_nnf,[status(thm)],[41])).
% fof(199, plain,![X3]:![X4]:((~(element(X3,powerset(X4)))|subset(X3,X4))&(~(subset(X3,X4))|element(X3,powerset(X4)))),inference(variable_rename,[status(thm)],[198])).
% cnf(200,plain,(element(X1,powerset(X2))|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[199])).
% fof(202, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[42])).
% fof(203, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[202])).
% cnf(204,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[203])).
% fof(214, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation(X3)&(in(X1,relation_field(relation_restriction(X3,X2)))&(~(in(X1,relation_field(X3)))|~(in(X1,X2))))),inference(fof_nnf,[status(thm)],[53])).
% fof(215, negated_conjecture,?[X4]:?[X5]:?[X6]:(relation(X6)&(in(X4,relation_field(relation_restriction(X6,X5)))&(~(in(X4,relation_field(X6)))|~(in(X4,X5))))),inference(variable_rename,[status(thm)],[214])).
% fof(216, negated_conjecture,(relation(esk11_0)&(in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0)))&(~(in(esk9_0,relation_field(esk11_0)))|~(in(esk9_0,esk10_0))))),inference(skolemize,[status(esa)],[215])).
% cnf(217,negated_conjecture,(~in(esk9_0,esk10_0)|~in(esk9_0,relation_field(esk11_0))),inference(split_conjunct,[status(thm)],[216])).
% cnf(218,negated_conjecture,(in(esk9_0,relation_field(relation_restriction(esk11_0,esk10_0)))),inference(split_conjunct,[status(thm)],[216])).
% cnf(219,negated_conjecture,(relation(esk11_0)),inference(split_conjunct,[status(thm)],[216])).
% cnf(237,plain,(empty(X1)|in(esk1_1(X1),X1)),inference(spm,[status(thm)],[138,69,theory(equality)])).
% cnf(239,plain,(~empty(X1)|~in(X2,esk1_1(powerset(X1)))),inference(spm,[status(thm)],[167,69,theory(equality)])).
% cnf(249,plain,(~empty(X2)|~in(X3,X1)|~subset(X1,X2)),inference(spm,[status(thm)],[167,200,theory(equality)])).
% cnf(262,plain,(in(X1,X2)|~in(X1,set_intersection2(X3,X2))),inference(er,[status(thm)],[119,theory(equality)])).
% cnf(268,plain,(in(X1,X2)|~in(X1,set_intersection2(X2,X3))),inference(er,[status(thm)],[120,theory(equality)])).
% cnf(269,plain,(in(X1,X2)|empty_set!=X3|~in(X1,X3)),inference(spm,[status(thm)],[120,150,theory(equality)])).
% cnf(274,plain,(in(X1,set_union2(X2,X3))|~in(X1,X3)),inference(er,[status(thm)],[107,theory(equality)])).
% cnf(282,plain,(in(X1,set_union2(X2,X3))|~in(X1,X2)),inference(er,[status(thm)],[108,theory(equality)])).
% cnf(294,plain,(element(X1,X2)|~in(X1,X3)|~subset(X3,X2)),inference(spm,[status(thm)],[141,200,theory(equality)])).
% cnf(305,plain,(relation_dom(relation_restriction(X2,X1))=set_intersection2(relation_dom(relation_rng_restriction(X1,X2)),X1)|~relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(spm,[status(thm)],[161,95,theory(equality)])).
% cnf(307,plain,(relation_rng(relation_restriction(X2,X1))=set_intersection2(relation_rng(relation_dom_restriction(X2,X1)),X1)|~relation(relation_dom_restriction(X2,X1))|~relation(X2)),inference(spm,[status(thm)],[158,98,theory(equality)])).
% cnf(320,plain,(in(X1,relation_rng(X2))|in(X1,relation_dom(X2))|relation_field(X2)!=X3|~in(X1,X3)|~relation(X2)),inference(spm,[status(thm)],[109,125,theory(equality)])).
% cnf(327,plain,(set_intersection2(X4,X5)=X5|in(esk6_3(X4,X5,X5),X5)),inference(ef,[status(thm)],[115,theory(equality)])).
% cnf(331,plain,(set_intersection2(X2,X1)=X3|in(esk6_3(X2,X1,X3),X3)|~empty(X1)),inference(spm,[status(thm)],[66,115,theory(equality)])).
% cnf(412,plain,(empty(esk1_1(powerset(X1)))|~empty(X1)),inference(spm,[status(thm)],[239,237,theory(equality)])).
% cnf(472,plain,(~empty(relation_rng(X1))|~in(X3,relation_rng(relation_dom_restriction(X1,X2)))|~relation(X1)),inference(spm,[status(thm)],[249,188,theory(equality)])).
% cnf(473,plain,(~empty(relation_dom(X2))|~in(X3,relation_dom(relation_rng_restriction(X1,X2)))|~relation(X2)),inference(spm,[status(thm)],[249,185,theory(equality)])).
% cnf(494,plain,(in(esk1_1(X1),X2)|empty(X1)|empty_set!=X1),inference(spm,[status(thm)],[269,237,theory(equality)])).
% cnf(510,plain,(empty_set=esk1_1(powerset(X1))|~empty(X1)),inference(spm,[status(thm)],[204,412,theory(equality)])).
% cnf(515,plain,(~empty(X1)|~in(X2,empty_set)),inference(spm,[status(thm)],[239,510,theory(equality)])).
% fof(520, plain,(~(epred1_0)<=>![X1]:~(empty(X1))),introduced(definition),['split']).
% cnf(521,plain,(epred1_0|~empty(X1)),inference(split_equiv,[status(thm)],[520])).
% fof(522, plain,(~(epred2_0)<=>![X2]:~(in(X2,empty_set))),introduced(definition),['split']).
% cnf(523,plain,(epred2_0|~in(X2,empty_set)),inference(split_equiv,[status(thm)],[522])).
% cnf(524,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[515,520,theory(equality)]),522,theory(equality)]),['split']).
% cnf(526,plain,(epred1_0),inference(spm,[status(thm)],[521,193,theory(equality)])).
% cnf(528,plain,(~epred2_0|$false),inference(rw,[status(thm)],[524,526,theory(equality)])).
% cnf(529,plain,(~epred2_0),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(531,plain,(~in(X2,empty_set)),inference(sr,[status(thm)],[523,529,theory(equality)])).
% cnf(560,plain,(in(X1,relation_field(X2))|~in(X1,relation_rng(X2))|~relation(X2)),inference(spm,[status(thm)],[274,125,theory(equality)])).
% cnf(628,negated_conjecture,(~in(esk9_0,esk10_0)|~relation(esk11_0)|~in(esk9_0,relation_rng(esk11_0))),inference(spm,[status(thm)],[217,560,theory(equality)])).
% cnf(640,negated_conjecture,(~in(esk9_0,esk10_0)|$false|~in(esk9_0,relation_rng(esk11_0))),inference(rw,[status(thm)],[628,219,theory(equality)])).
% cnf(641,negated_conjecture,(~in(esk9_0,esk10_0)|~in(esk9_0,relation_rng(esk11_0))),inference(cn,[status(thm)],[640,theory(equality)])).
% cnf(682,plain,(in(X1,relation_field(X2))|~in(X1,relation_dom(X2))|~relation(X2)),inference(spm,[status(thm)],[282,125,theory(equality)])).
% cnf(687,negated_conjecture,(~in(esk9_0,esk10_0)|~relation(esk11_0)|~in(esk9_0,relation_dom(esk11_0))),inference(spm,[status(thm)],[217,682,theory(equality)])).
% cnf(699,negated_conjecture,(~in(esk9_0,esk10_0)|$false|~in(esk9_0,relation_dom(esk11_0))),inference(rw,[status(thm)],[687,219,theory(equality)])).
% cnf(700,negated_conjecture,(~in(esk9_0,esk10_0)|~in(esk9_0,relation_dom(esk11_0))),inference(cn,[status(thm)],[699,theory(equality)])).
% cnf(716,plain,(~empty(relation_rng(relation_rng_restriction(X1,X2)))|~relation(relation_rng_restriction(X1,X2))|~in(X3,relation_rng(relation_restriction(X2,X1)))|~relation(X2)),inference(spm,[status(thm)],[472,95,theory(equality)])).
% cnf(725,plain,(~empty(relation_dom(relation_dom_restriction(X1,X2)))|~relation(relation_dom_restriction(X1,X2))|~in(X3,relation_dom(relation_restriction(X1,X2)))|~relation(X1)),inference(spm,[status(thm)],[473,98,theory(equality)])).
% cnf(742,plain,(empty(X1)|empty_set!=X1),inference(spm,[status(thm)],[531,494,theory(equality)])).
% cnf(844,plain,(element(X1,relation_rng(X2))|~in(X1,relation_rng(relation_dom_restriction(X2,X3)))|~relation(X2)),inference(spm,[status(thm)],[294,188,theory(equality)])).
% cnf(845,plain,(element(X1,relation_dom(X2))|~in(X1,relation_dom(relation_rng_restriction(X3,X2)))|~relation(X2)),inference(spm,[status(thm)],[294,185,theory(equality)])).
% cnf(1110,plain,(set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2)))=relation_dom(relation_restriction(X2,X1))|~relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(rw,[status(thm)],[305,192,theory(equality)])).
% cnf(1111,plain,(set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X2)))=relation_dom(relation_restriction(X2,X1))|~relation(X2)),inference(csr,[status(thm)],[1110,88])).
% cnf(1119,plain,(in(X1,X2)|~in(X1,relation_dom(relation_restriction(X3,X2)))|~relation(X3)),inference(spm,[status(thm)],[268,1111,theory(equality)])).
% cnf(1124,plain,(in(X1,relation_dom(relation_rng_restriction(X2,X3)))|~in(X1,relation_dom(relation_restriction(X3,X2)))|~relation(X3)),inference(spm,[status(thm)],[262,1111,theory(equality)])).
% cnf(1315,plain,(set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1)))=relation_rng(relation_restriction(X2,X1))|~relation(relation_dom_restriction(X2,X1))|~relation(X2)),inference(rw,[status(thm)],[307,192,theory(equality)])).
% cnf(1316,plain,(set_intersection2(X1,relation_rng(relation_dom_restriction(X2,X1)))=relation_rng(relation_restriction(X2,X1))|~relation(X2)),inference(csr,[status(thm)],[1315,85])).
% cnf(1325,plain,(in(X1,X2)|~in(X1,relation_rng(relation_restriction(X3,X2)))|~relation(X3)),inference(spm,[status(thm)],[268,1316,theory(equality)])).
% cnf(1330,plain,(in(X1,relation_rng(relation_dom_restriction(X2,X3)))|~in(X1,relation_rng(relation_restriction(X2,X3)))|~relation(X2)),inference(spm,[status(thm)],[262,1316,theory(equality)])).
% cnf(1932,negated_conjecture,(in(esk9_0,relation_dom(X1))|in(esk9_0,relation_rng(X1))|relation_field(X1)!=relation_field(relation_restriction(esk11_0,esk10_0))|~relation(X1)),inference(spm,[status(thm)],[320,218,theory(equality)])).
% cnf(2027,negated_conjecture,(in(esk9_0,relation_rng(relation_restriction(esk11_0,esk10_0)))|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(er,[status(thm)],[1932,theory(equality)])).
% cnf(2043,negated_conjecture,(in(esk9_0,esk10_0)|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[1325,2027,theory(equality)])).
% cnf(2044,negated_conjecture,(in(esk9_0,esk10_0)|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[2043,219,theory(equality)])).
% cnf(2045,negated_conjecture,(in(esk9_0,esk10_0)|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[2044,theory(equality)])).
% cnf(2054,negated_conjecture,(in(esk9_0,esk10_0)|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[1119,2045,theory(equality)])).
% cnf(2055,negated_conjecture,(in(esk9_0,esk10_0)|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[2054,219,theory(equality)])).
% cnf(2056,negated_conjecture,(in(esk9_0,esk10_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[2055,theory(equality)])).
% cnf(2057,negated_conjecture,(in(esk9_0,esk10_0)|~relation(esk11_0)),inference(spm,[status(thm)],[2056,63,theory(equality)])).
% cnf(2058,negated_conjecture,(in(esk9_0,esk10_0)|$false),inference(rw,[status(thm)],[2057,219,theory(equality)])).
% cnf(2059,negated_conjecture,(in(esk9_0,esk10_0)),inference(cn,[status(thm)],[2058,theory(equality)])).
% cnf(2065,negated_conjecture,(~in(esk9_0,relation_dom(esk11_0))|$false),inference(rw,[status(thm)],[700,2059,theory(equality)])).
% cnf(2066,negated_conjecture,(~in(esk9_0,relation_dom(esk11_0))),inference(cn,[status(thm)],[2065,theory(equality)])).
% cnf(2067,negated_conjecture,(~in(esk9_0,relation_rng(esk11_0))|$false),inference(rw,[status(thm)],[641,2059,theory(equality)])).
% cnf(2068,negated_conjecture,(~in(esk9_0,relation_rng(esk11_0))),inference(cn,[status(thm)],[2067,theory(equality)])).
% cnf(2118,plain,(set_intersection2(X2,X1)=X1|~empty(X1)),inference(spm,[status(thm)],[66,327,theory(equality)])).
% cnf(2359,plain,(set_intersection2(X1,X2)=empty_set|~empty(X2)),inference(spm,[status(thm)],[531,331,theory(equality)])).
% cnf(17345,plain,(~empty(relation_rng(relation_rng_restriction(X1,X2)))|~relation(X2)|~in(X3,relation_rng(relation_restriction(X2,X1)))),inference(csr,[status(thm)],[716,88])).
% cnf(17366,negated_conjecture,(in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~empty(relation_rng(relation_rng_restriction(esk10_0,esk11_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[17345,2027,theory(equality)])).
% cnf(17475,negated_conjecture,(in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~empty(relation_rng(relation_rng_restriction(esk10_0,esk11_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[17366,219,theory(equality)])).
% cnf(17476,negated_conjecture,(in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~empty(relation_rng(relation_rng_restriction(esk10_0,esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[17475,theory(equality)])).
% cnf(17482,negated_conjecture,(in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))|empty_set!=relation_rng(relation_rng_restriction(esk10_0,esk11_0))),inference(spm,[status(thm)],[17476,742,theory(equality)])).
% cnf(18284,plain,(~empty(relation_dom(relation_dom_restriction(X1,X2)))|~relation(X1)|~in(X3,relation_dom(relation_restriction(X1,X2)))),inference(csr,[status(thm)],[725,85])).
% cnf(18304,negated_conjecture,(~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|~relation(esk11_0)|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[18284,17482,theory(equality)])).
% cnf(18421,negated_conjecture,(~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|$false|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[18304,219,theory(equality)])).
% cnf(18422,negated_conjecture,(~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[18421,theory(equality)])).
% cnf(20554,negated_conjecture,(relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~empty(set_intersection2(relation_dom(esk11_0),esk10_0))|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(spm,[status(thm)],[18422,161,theory(equality)])).
% cnf(20563,negated_conjecture,(relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(rw,[status(thm)],[20554,192,theory(equality)])).
% cnf(20564,negated_conjecture,(relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))|$false),inference(rw,[status(thm)],[20563,219,theory(equality)])).
% cnf(20565,negated_conjecture,(relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[20564,theory(equality)])).
% cnf(21801,negated_conjecture,(set_intersection2(relation_rng(esk11_0),esk10_0)!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(spm,[status(thm)],[20565,158,theory(equality)])).
% cnf(21802,negated_conjecture,(set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(rw,[status(thm)],[21801,192,theory(equality)])).
% cnf(21803,negated_conjecture,(set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))|$false),inference(rw,[status(thm)],[21802,219,theory(equality)])).
% cnf(21804,negated_conjecture,(set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~empty(set_intersection2(esk10_0,relation_dom(esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[21803,theory(equality)])).
% cnf(21819,negated_conjecture,(set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~empty(relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[21804,2118,theory(equality)])).
% cnf(38253,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|~relation(esk11_0)|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[1124,17482,theory(equality)])).
% cnf(38421,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|$false|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[38253,219,theory(equality)])).
% cnf(38422,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[38421,theory(equality)])).
% cnf(39186,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|~relation(esk11_0)|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[845,38422,theory(equality)])).
% cnf(39194,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|$false|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[39186,219,theory(equality)])).
% cnf(39195,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|relation_rng(relation_rng_restriction(esk10_0,esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[39194,theory(equality)])).
% cnf(39573,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|set_intersection2(relation_rng(esk11_0),esk10_0)!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(spm,[status(thm)],[39195,158,theory(equality)])).
% cnf(39574,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(rw,[status(thm)],[39573,192,theory(equality)])).
% cnf(39575,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|$false),inference(rw,[status(thm)],[39574,219,theory(equality)])).
% cnf(39576,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[39575,theory(equality)])).
% cnf(39904,negated_conjecture,(empty(relation_dom(esk11_0))|in(esk9_0,relation_dom(esk11_0))|set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[138,39576,theory(equality)])).
% cnf(39907,negated_conjecture,(empty(relation_dom(esk11_0))|set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(sr,[status(thm)],[39904,2066,theory(equality)])).
% cnf(39912,negated_conjecture,(set_intersection2(esk10_0,relation_rng(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(csr,[status(thm)],[39907,21819])).
% cnf(39920,negated_conjecture,(~relation(relation_restriction(esk11_0,esk10_0))|~empty(relation_rng(esk11_0))),inference(spm,[status(thm)],[39912,2359,theory(equality)])).
% cnf(46344,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[1330,2027,theory(equality)])).
% cnf(46504,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[46344,219,theory(equality)])).
% cnf(46505,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|in(esk9_0,relation_dom(relation_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[46504,theory(equality)])).
% cnf(46517,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[18284,46505,theory(equality)])).
% cnf(46521,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[1124,46505,theory(equality)])).
% cnf(46532,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[46517,219,theory(equality)])).
% cnf(46533,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~empty(relation_dom(relation_dom_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[46532,theory(equality)])).
% cnf(46541,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[46521,219,theory(equality)])).
% cnf(46542,negated_conjecture,(in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[46541,theory(equality)])).
% cnf(48694,negated_conjecture,(in(esk9_0,relation_rng(relation_dom_restriction(esk11_0,esk10_0)))|~relation(relation_restriction(esk11_0,esk10_0))|empty_set!=relation_dom(relation_dom_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[46533,742,theory(equality)])).
% cnf(48856,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|~relation(esk11_0)|relation_dom(relation_dom_restriction(esk11_0,esk10_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[844,48694,theory(equality)])).
% cnf(48875,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|$false|relation_dom(relation_dom_restriction(esk11_0,esk10_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[48856,219,theory(equality)])).
% cnf(48876,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|relation_dom(relation_dom_restriction(esk11_0,esk10_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[48875,theory(equality)])).
% cnf(49206,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|set_intersection2(relation_dom(esk11_0),esk10_0)!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(spm,[status(thm)],[48876,161,theory(equality)])).
% cnf(49207,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|~relation(esk11_0)),inference(rw,[status(thm)],[49206,192,theory(equality)])).
% cnf(49208,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))|$false),inference(rw,[status(thm)],[49207,219,theory(equality)])).
% cnf(49209,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[49208,theory(equality)])).
% cnf(49438,negated_conjecture,(empty(relation_rng(esk11_0))|in(esk9_0,relation_rng(esk11_0))|set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[138,49209,theory(equality)])).
% cnf(49443,negated_conjecture,(empty(relation_rng(esk11_0))|set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(sr,[status(thm)],[49438,2068,theory(equality)])).
% cnf(49452,negated_conjecture,(set_intersection2(esk10_0,relation_dom(esk11_0))!=empty_set|~relation(relation_restriction(esk11_0,esk10_0))),inference(csr,[status(thm)],[49443,39920])).
% cnf(49458,negated_conjecture,(~relation(relation_restriction(esk11_0,esk10_0))|~empty(relation_dom(esk11_0))),inference(spm,[status(thm)],[49452,2359,theory(equality)])).
% cnf(50859,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[844,46542,theory(equality)])).
% cnf(50878,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[50859,219,theory(equality)])).
% cnf(50879,negated_conjecture,(element(esk9_0,relation_rng(esk11_0))|in(esk9_0,relation_dom(relation_rng_restriction(esk10_0,esk11_0)))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[50878,theory(equality)])).
% cnf(51473,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|element(esk9_0,relation_rng(esk11_0))|~relation(esk11_0)|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[845,50879,theory(equality)])).
% cnf(51490,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|element(esk9_0,relation_rng(esk11_0))|$false|~relation(relation_restriction(esk11_0,esk10_0))),inference(rw,[status(thm)],[51473,219,theory(equality)])).
% cnf(51491,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|element(esk9_0,relation_rng(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(cn,[status(thm)],[51490,theory(equality)])).
% cnf(51800,negated_conjecture,(empty(relation_rng(esk11_0))|in(esk9_0,relation_rng(esk11_0))|element(esk9_0,relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[138,51491,theory(equality)])).
% cnf(51805,negated_conjecture,(empty(relation_rng(esk11_0))|element(esk9_0,relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(sr,[status(thm)],[51800,2068,theory(equality)])).
% cnf(51814,negated_conjecture,(element(esk9_0,relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(csr,[status(thm)],[51805,39920])).
% cnf(51815,negated_conjecture,(empty(relation_dom(esk11_0))|in(esk9_0,relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(spm,[status(thm)],[138,51814,theory(equality)])).
% cnf(51818,negated_conjecture,(empty(relation_dom(esk11_0))|~relation(relation_restriction(esk11_0,esk10_0))),inference(sr,[status(thm)],[51815,2066,theory(equality)])).
% cnf(51823,negated_conjecture,(~relation(relation_restriction(esk11_0,esk10_0))),inference(csr,[status(thm)],[51818,49458])).
% cnf(51828,negated_conjecture,(~relation(esk11_0)),inference(spm,[status(thm)],[51823,63,theory(equality)])).
% cnf(51839,negated_conjecture,($false),inference(rw,[status(thm)],[51828,219,theory(equality)])).
% cnf(51840,negated_conjecture,($false),inference(cn,[status(thm)],[51839,theory(equality)])).
% cnf(51841,negated_conjecture,($false),51840,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5931
% # ...of these trivial : 24
% # ...subsumed : 4686
% # ...remaining for further processing: 1221
% # Other redundant clauses eliminated : 38
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 123
% # Backward-rewritten : 34
% # Generated clauses : 37894
% # ...of the previous two non-trivial : 36253
% # Contextual simplify-reflections : 2864
% # Paramodulations : 37617
% # Factorizations : 174
% # Equation resolutions : 100
% # Current number of processed clauses: 1002
% # Positive orientable unit clauses: 36
% # Positive unorientable unit clauses: 2
% # Negative unit clauses : 25
% # Non-unit-clauses : 939
% # Current number of unprocessed clauses: 27851
% # ...number of literals in the above : 128750
% # Clause-clause subsumption calls (NU) : 429797
% # Rec. Clause-clause subsumption calls : 94666
% # Unit Clause-clause subsumption calls : 2446
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 47
% # Indexed BW rewrite successes : 42
% # Backwards rewriting index: 625 leaves, 1.82+/-2.723 terms/leaf
% # Paramod-from index: 213 leaves, 1.45+/-2.384 terms/leaf
% # Paramod-into index: 517 leaves, 1.67+/-1.990 terms/leaf
% # -------------------------------------------------
% # User time : 1.816 s
% # System time : 0.057 s
% # Total time : 1.873 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.73 CPU 2.85 WC
% FINAL PrfWatch: 2.73 CPU 2.85 WC
% SZS output end Solution for /tmp/SystemOnTPTP607/SEU249+1.tptp
%
%------------------------------------------------------------------------------