TSTP Solution File: LAT313+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT313+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art04.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 10:22:11 EST 2010
% Result : Theorem 1.01s
% Output : Solution 1.01s
% 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/SystemOnTPTP22492/LAT313+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22492/LAT313+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22492/LAT313+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 22588
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>k17_filter_2(X1)=u1_struct_0(X1)),file('/tmp/SRASS.s.p', d8_filter_2)).
% fof(3, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>m2_filter_2(k17_filter_2(X1),X1)),file('/tmp/SRASS.s.p', dt_k17_filter_2)).
% fof(6, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2))),file('/tmp/SRASS.s.p', t38_filter_2)).
% fof(7, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:((~(v1_xboole_0(X2))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))=>(r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))&k19_filter_2(X1,X2)=u1_struct_0(X1))))),file('/tmp/SRASS.s.p', t42_filter_2)).
% fof(9, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>(~(v1_xboole_0(X2))&m2_lattice4(X2,X1)))),file('/tmp/SRASS.s.p', dt_m2_filter_2)).
% fof(12, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(15, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_lattice4(X2,X1)=>m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))),file('/tmp/SRASS.s.p', dt_m2_lattice4)).
% fof(21, axiom,![X1]:(~(v1_xboole_0(X1))=>?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),file('/tmp/SRASS.s.p', rc1_subset_1)).
% fof(25, axiom,![X1]:![X2]:![X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,k1_zfmisc_1(X1)))&m1_subset_1(X3,k1_zfmisc_1(X1)))=>(r1_filter_2(X1,X2,X3)<=>X2=X3)),file('/tmp/SRASS.s.p', redefinition_r1_filter_2)).
% fof(26, axiom,![X1]:![X2]:![X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,k1_zfmisc_1(X1)))&m1_subset_1(X3,k1_zfmisc_1(X1)))=>r1_filter_2(X1,X2,X2)),file('/tmp/SRASS.s.p', reflexivity_r1_filter_2)).
% fof(36, axiom,![X1]:![X2]:r1_tarski(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(37, axiom,![X1]:![X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)),file('/tmp/SRASS.s.p', t3_subset)).
% fof(50, conjecture,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))=>(r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))&X2=u1_struct_0(X1))))),file('/tmp/SRASS.s.p', t43_filter_2)).
% fof(51, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))=>(r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))&X2=u1_struct_0(X1)))))),inference(assume_negation,[status(cth)],[50])).
% fof(53, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>k17_filter_2(X1)=u1_struct_0(X1)),inference(fof_simplification,[status(thm)],[2,theory(equality)])).
% fof(54, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>m2_filter_2(k17_filter_2(X1),X1)),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(56, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(57, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:((~(v1_xboole_0(X2))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))=>(r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))&k19_filter_2(X1,X2)=u1_struct_0(X1))))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(59, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>(~(v1_xboole_0(X2))&m2_lattice4(X2,X1)))),inference(fof_simplification,[status(thm)],[9,theory(equality)])).
% fof(63, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_lattice4(X2,X1)=>m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(66, plain,![X1]:(~(v1_xboole_0(X1))=>?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),inference(fof_simplification,[status(thm)],[21,theory(equality)])).
% fof(68, plain,![X1]:![X2]:![X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,k1_zfmisc_1(X1)))&m1_subset_1(X3,k1_zfmisc_1(X1)))=>(r1_filter_2(X1,X2,X3)<=>X2=X3)),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% fof(69, plain,![X1]:![X2]:![X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,k1_zfmisc_1(X1)))&m1_subset_1(X3,k1_zfmisc_1(X1)))=>r1_filter_2(X1,X2,X2)),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(75, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m2_filter_2(X2,X1)=>((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))=>(r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))&X2=u1_struct_0(X1)))))),inference(fof_simplification,[status(thm)],[51,theory(equality)])).
% fof(79, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|k17_filter_2(X1)=u1_struct_0(X1)),inference(fof_nnf,[status(thm)],[53])).
% fof(80, plain,![X2]:(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(l3_lattices(X2)))|k17_filter_2(X2)=u1_struct_0(X2)),inference(variable_rename,[status(thm)],[79])).
% cnf(81,plain,(k17_filter_2(X1)=u1_struct_0(X1)|v3_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(82, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|m2_filter_2(k17_filter_2(X1),X1)),inference(fof_nnf,[status(thm)],[54])).
% fof(83, plain,![X2]:(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(l3_lattices(X2)))|m2_filter_2(k17_filter_2(X2),X2)),inference(variable_rename,[status(thm)],[82])).
% cnf(84,plain,(m2_filter_2(k17_filter_2(X1),X1)|v3_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(92, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m2_filter_2(X2,X1))|r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2))),inference(fof_nnf,[status(thm)],[56])).
% fof(93, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:(~(m2_filter_2(X4,X3))|r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),X4))),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,![X3]:![X4]:((~(m2_filter_2(X4,X3))|r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),X4))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[93])).
% cnf(95,plain,(v3_struct_0(X1)|r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m2_filter_2(X2,X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(96, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:((v1_xboole_0(X2)|~(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))))|((~(v14_lattices(X1))|~(r2_hidden(k6_lattices(X1),X2)))|(r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))&k19_filter_2(X1,X2)=u1_struct_0(X1))))),inference(fof_nnf,[status(thm)],[57])).
% fof(97, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:((v1_xboole_0(X4)|~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))))|((~(v14_lattices(X3))|~(r2_hidden(k6_lattices(X3),X4)))|(r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))&k19_filter_2(X3,X4)=u1_struct_0(X3))))),inference(variable_rename,[status(thm)],[96])).
% fof(98, plain,![X3]:![X4]:(((v1_xboole_0(X4)|~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))))|((~(v14_lattices(X3))|~(r2_hidden(k6_lattices(X3),X4)))|(r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))&k19_filter_2(X3,X4)=u1_struct_0(X3))))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[97])).
% fof(99, plain,![X3]:![X4]:((((r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))|(~(v14_lattices(X3))|~(r2_hidden(k6_lattices(X3),X4))))|(v1_xboole_0(X4)|~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))&(((k19_filter_2(X3,X4)=u1_struct_0(X3)|(~(v14_lattices(X3))|~(r2_hidden(k6_lattices(X3),X4))))|(v1_xboole_0(X4)|~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))),inference(distribute,[status(thm)],[98])).
% cnf(100,plain,(v3_struct_0(X1)|v1_xboole_0(X2)|k19_filter_2(X1,X2)=u1_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~r2_hidden(k6_lattices(X1),X2)|~v14_lattices(X1)),inference(split_conjunct,[status(thm)],[99])).
% fof(106, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m2_filter_2(X2,X1))|(~(v1_xboole_0(X2))&m2_lattice4(X2,X1)))),inference(fof_nnf,[status(thm)],[59])).
% fof(107, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:(~(m2_filter_2(X4,X3))|(~(v1_xboole_0(X4))&m2_lattice4(X4,X3)))),inference(variable_rename,[status(thm)],[106])).
% fof(108, plain,![X3]:![X4]:((~(m2_filter_2(X4,X3))|(~(v1_xboole_0(X4))&m2_lattice4(X4,X3)))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[107])).
% fof(109, plain,![X3]:![X4]:(((~(v1_xboole_0(X4))|~(m2_filter_2(X4,X3)))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))&((m2_lattice4(X4,X3)|~(m2_filter_2(X4,X3)))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))),inference(distribute,[status(thm)],[108])).
% cnf(110,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|~l3_lattices(X1)|~v10_lattices(X1)|~m2_filter_2(X2,X1)),inference(split_conjunct,[status(thm)],[109])).
% cnf(111,plain,(v3_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)|~m2_filter_2(X2,X1)|~v1_xboole_0(X2)),inference(split_conjunct,[status(thm)],[109])).
% fof(118, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(119, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[118])).
% cnf(120,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[119])).
% fof(130, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m2_lattice4(X2,X1))|m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))),inference(fof_nnf,[status(thm)],[63])).
% fof(131, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:(~(m2_lattice4(X4,X3))|m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))),inference(variable_rename,[status(thm)],[130])).
% fof(132, plain,![X3]:![X4]:((~(m2_lattice4(X4,X3))|m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[131])).
% cnf(133,plain,(v3_struct_0(X1)|m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l3_lattices(X1)|~v10_lattices(X1)|~m2_lattice4(X2,X1)),inference(split_conjunct,[status(thm)],[132])).
% fof(148, plain,![X1]:(v1_xboole_0(X1)|?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),inference(fof_nnf,[status(thm)],[66])).
% fof(149, plain,![X3]:(v1_xboole_0(X3)|?[X4]:(m1_subset_1(X4,k1_zfmisc_1(X3))&~(v1_xboole_0(X4)))),inference(variable_rename,[status(thm)],[148])).
% fof(150, plain,![X3]:(v1_xboole_0(X3)|(m1_subset_1(esk7_1(X3),k1_zfmisc_1(X3))&~(v1_xboole_0(esk7_1(X3))))),inference(skolemize,[status(esa)],[149])).
% fof(151, plain,![X3]:((m1_subset_1(esk7_1(X3),k1_zfmisc_1(X3))|v1_xboole_0(X3))&(~(v1_xboole_0(esk7_1(X3)))|v1_xboole_0(X3))),inference(distribute,[status(thm)],[150])).
% cnf(153,plain,(v1_xboole_0(X1)|m1_subset_1(esk7_1(X1),k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[151])).
% fof(164, plain,![X1]:![X2]:![X3]:(((v1_xboole_0(X1)|~(m1_subset_1(X2,k1_zfmisc_1(X1))))|~(m1_subset_1(X3,k1_zfmisc_1(X1))))|((~(r1_filter_2(X1,X2,X3))|X2=X3)&(~(X2=X3)|r1_filter_2(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[68])).
% fof(165, plain,![X4]:![X5]:![X6]:(((v1_xboole_0(X4)|~(m1_subset_1(X5,k1_zfmisc_1(X4))))|~(m1_subset_1(X6,k1_zfmisc_1(X4))))|((~(r1_filter_2(X4,X5,X6))|X5=X6)&(~(X5=X6)|r1_filter_2(X4,X5,X6)))),inference(variable_rename,[status(thm)],[164])).
% fof(166, plain,![X4]:![X5]:![X6]:(((~(r1_filter_2(X4,X5,X6))|X5=X6)|((v1_xboole_0(X4)|~(m1_subset_1(X5,k1_zfmisc_1(X4))))|~(m1_subset_1(X6,k1_zfmisc_1(X4)))))&((~(X5=X6)|r1_filter_2(X4,X5,X6))|((v1_xboole_0(X4)|~(m1_subset_1(X5,k1_zfmisc_1(X4))))|~(m1_subset_1(X6,k1_zfmisc_1(X4)))))),inference(distribute,[status(thm)],[165])).
% cnf(168,plain,(v1_xboole_0(X2)|X3=X1|~m1_subset_1(X1,k1_zfmisc_1(X2))|~m1_subset_1(X3,k1_zfmisc_1(X2))|~r1_filter_2(X2,X3,X1)),inference(split_conjunct,[status(thm)],[166])).
% fof(169, plain,![X1]:![X2]:![X3]:(((v1_xboole_0(X1)|~(m1_subset_1(X2,k1_zfmisc_1(X1))))|~(m1_subset_1(X3,k1_zfmisc_1(X1))))|r1_filter_2(X1,X2,X2)),inference(fof_nnf,[status(thm)],[69])).
% fof(170, plain,![X4]:![X5]:![X6]:(((v1_xboole_0(X4)|~(m1_subset_1(X5,k1_zfmisc_1(X4))))|~(m1_subset_1(X6,k1_zfmisc_1(X4))))|r1_filter_2(X4,X5,X5)),inference(variable_rename,[status(thm)],[169])).
% cnf(171,plain,(r1_filter_2(X1,X2,X2)|v1_xboole_0(X1)|~m1_subset_1(X3,k1_zfmisc_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[170])).
% fof(201, plain,![X3]:![X4]:r1_tarski(X3,X3),inference(variable_rename,[status(thm)],[36])).
% cnf(202,plain,(r1_tarski(X1,X1)),inference(split_conjunct,[status(thm)],[201])).
% fof(203, plain,![X1]:![X2]:((~(m1_subset_1(X1,k1_zfmisc_1(X2)))|r1_tarski(X1,X2))&(~(r1_tarski(X1,X2))|m1_subset_1(X1,k1_zfmisc_1(X2)))),inference(fof_nnf,[status(thm)],[37])).
% fof(204, plain,![X3]:![X4]:((~(m1_subset_1(X3,k1_zfmisc_1(X4)))|r1_tarski(X3,X4))&(~(r1_tarski(X3,X4))|m1_subset_1(X3,k1_zfmisc_1(X4)))),inference(variable_rename,[status(thm)],[203])).
% cnf(205,plain,(m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)),inference(split_conjunct,[status(thm)],[204])).
% fof(244, negated_conjecture,?[X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&?[X2]:(m2_filter_2(X2,X1)&((v14_lattices(X1)&r2_hidden(k6_lattices(X1),X2))&(~(r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1)))|~(X2=u1_struct_0(X1)))))),inference(fof_nnf,[status(thm)],[75])).
% fof(245, negated_conjecture,?[X3]:(((~(v3_struct_0(X3))&v10_lattices(X3))&l3_lattices(X3))&?[X4]:(m2_filter_2(X4,X3)&((v14_lattices(X3)&r2_hidden(k6_lattices(X3),X4))&(~(r1_filter_2(u1_struct_0(X3),X4,k17_filter_2(X3)))|~(X4=u1_struct_0(X3)))))),inference(variable_rename,[status(thm)],[244])).
% fof(246, negated_conjecture,(((~(v3_struct_0(esk15_0))&v10_lattices(esk15_0))&l3_lattices(esk15_0))&(m2_filter_2(esk16_0,esk15_0)&((v14_lattices(esk15_0)&r2_hidden(k6_lattices(esk15_0),esk16_0))&(~(r1_filter_2(u1_struct_0(esk15_0),esk16_0,k17_filter_2(esk15_0)))|~(esk16_0=u1_struct_0(esk15_0)))))),inference(skolemize,[status(esa)],[245])).
% cnf(247,negated_conjecture,(esk16_0!=u1_struct_0(esk15_0)|~r1_filter_2(u1_struct_0(esk15_0),esk16_0,k17_filter_2(esk15_0))),inference(split_conjunct,[status(thm)],[246])).
% cnf(248,negated_conjecture,(r2_hidden(k6_lattices(esk15_0),esk16_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(249,negated_conjecture,(v14_lattices(esk15_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(250,negated_conjecture,(m2_filter_2(esk16_0,esk15_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(251,negated_conjecture,(l3_lattices(esk15_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(252,negated_conjecture,(v10_lattices(esk15_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(253,negated_conjecture,(~v3_struct_0(esk15_0)),inference(split_conjunct,[status(thm)],[246])).
% cnf(265,negated_conjecture,(~v1_xboole_0(esk16_0)),inference(pm,[status(thm)],[120,248,theory(equality)])).
% cnf(271,plain,(m1_subset_1(X1,k1_zfmisc_1(X1))),inference(pm,[status(thm)],[205,202,theory(equality)])).
% cnf(319,negated_conjecture,(m2_filter_2(k17_filter_2(esk15_0),esk15_0)|v3_struct_0(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[84,251,theory(equality)])).
% cnf(321,negated_conjecture,(m2_filter_2(k17_filter_2(esk15_0),esk15_0)|v3_struct_0(esk15_0)|$false),inference(rw,[status(thm)],[319,252,theory(equality)])).
% cnf(322,negated_conjecture,(m2_filter_2(k17_filter_2(esk15_0),esk15_0)|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[321,theory(equality)])).
% cnf(323,negated_conjecture,(m2_filter_2(k17_filter_2(esk15_0),esk15_0)),inference(sr,[status(thm)],[322,253,theory(equality)])).
% cnf(324,negated_conjecture,(k17_filter_2(esk15_0)=u1_struct_0(esk15_0)|v3_struct_0(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[81,251,theory(equality)])).
% cnf(326,negated_conjecture,(k17_filter_2(esk15_0)=u1_struct_0(esk15_0)|v3_struct_0(esk15_0)|$false),inference(rw,[status(thm)],[324,252,theory(equality)])).
% cnf(327,negated_conjecture,(k17_filter_2(esk15_0)=u1_struct_0(esk15_0)|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[326,theory(equality)])).
% cnf(328,negated_conjecture,(k17_filter_2(esk15_0)=u1_struct_0(esk15_0)),inference(sr,[status(thm)],[327,253,theory(equality)])).
% cnf(347,negated_conjecture,(m2_lattice4(esk16_0,esk15_0)|v3_struct_0(esk15_0)|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[110,250,theory(equality)])).
% cnf(348,negated_conjecture,(m2_lattice4(esk16_0,esk15_0)|v3_struct_0(esk15_0)|$false|~v10_lattices(esk15_0)),inference(rw,[status(thm)],[347,251,theory(equality)])).
% cnf(349,negated_conjecture,(m2_lattice4(esk16_0,esk15_0)|v3_struct_0(esk15_0)|$false|$false),inference(rw,[status(thm)],[348,252,theory(equality)])).
% cnf(350,negated_conjecture,(m2_lattice4(esk16_0,esk15_0)|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[349,theory(equality)])).
% cnf(351,negated_conjecture,(m2_lattice4(esk16_0,esk15_0)),inference(sr,[status(thm)],[350,253,theory(equality)])).
% cnf(359,plain,(v1_xboole_0(X1)|r1_filter_2(X1,X2,X2)|~m1_subset_1(X2,k1_zfmisc_1(X1))),inference(pm,[status(thm)],[171,153,theory(equality)])).
% cnf(369,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),k19_filter_2(esk15_0,esk16_0),esk16_0)|v3_struct_0(esk15_0)|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[95,250,theory(equality)])).
% cnf(370,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),k19_filter_2(esk15_0,esk16_0),esk16_0)|v3_struct_0(esk15_0)|$false|~v10_lattices(esk15_0)),inference(rw,[status(thm)],[369,251,theory(equality)])).
% cnf(371,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),k19_filter_2(esk15_0,esk16_0),esk16_0)|v3_struct_0(esk15_0)|$false|$false),inference(rw,[status(thm)],[370,252,theory(equality)])).
% cnf(372,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),k19_filter_2(esk15_0,esk16_0),esk16_0)|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[371,theory(equality)])).
% cnf(373,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),k19_filter_2(esk15_0,esk16_0),esk16_0)),inference(sr,[status(thm)],[372,253,theory(equality)])).
% cnf(434,negated_conjecture,(m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))|v3_struct_0(esk15_0)|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[133,351,theory(equality)])).
% cnf(435,negated_conjecture,(m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))|v3_struct_0(esk15_0)|$false|~v10_lattices(esk15_0)),inference(rw,[status(thm)],[434,251,theory(equality)])).
% cnf(436,negated_conjecture,(m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))|v3_struct_0(esk15_0)|$false|$false),inference(rw,[status(thm)],[435,252,theory(equality)])).
% cnf(437,negated_conjecture,(m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[436,theory(equality)])).
% cnf(438,negated_conjecture,(m1_subset_1(esk16_0,k1_zfmisc_1(u1_struct_0(esk15_0)))),inference(sr,[status(thm)],[437,253,theory(equality)])).
% cnf(450,plain,(X1=X2|v1_xboole_0(X2)|~m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_filter_2(X2,X2,X1)),inference(pm,[status(thm)],[168,271,theory(equality)])).
% cnf(455,negated_conjecture,(u1_struct_0(esk15_0)!=esk16_0|~r1_filter_2(u1_struct_0(esk15_0),esk16_0,u1_struct_0(esk15_0))),inference(rw,[status(thm)],[247,328,theory(equality)])).
% cnf(456,negated_conjecture,(m2_filter_2(u1_struct_0(esk15_0),esk15_0)),inference(rw,[status(thm)],[323,328,theory(equality)])).
% cnf(457,negated_conjecture,(v3_struct_0(esk15_0)|~v1_xboole_0(u1_struct_0(esk15_0))|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)),inference(pm,[status(thm)],[111,456,theory(equality)])).
% cnf(460,negated_conjecture,(v3_struct_0(esk15_0)|~v1_xboole_0(u1_struct_0(esk15_0))|$false|~v10_lattices(esk15_0)),inference(rw,[status(thm)],[457,251,theory(equality)])).
% cnf(461,negated_conjecture,(v3_struct_0(esk15_0)|~v1_xboole_0(u1_struct_0(esk15_0))|$false|$false),inference(rw,[status(thm)],[460,252,theory(equality)])).
% cnf(462,negated_conjecture,(v3_struct_0(esk15_0)|~v1_xboole_0(u1_struct_0(esk15_0))),inference(cn,[status(thm)],[461,theory(equality)])).
% cnf(463,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk15_0))),inference(sr,[status(thm)],[462,253,theory(equality)])).
% cnf(553,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)|~v14_lattices(esk15_0)|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)|~r2_hidden(k6_lattices(esk15_0),esk16_0)),inference(pm,[status(thm)],[100,438,theory(equality)])).
% cnf(560,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)|$false|~l3_lattices(esk15_0)|~v10_lattices(esk15_0)|~r2_hidden(k6_lattices(esk15_0),esk16_0)),inference(rw,[status(thm)],[553,249,theory(equality)])).
% cnf(561,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)|$false|$false|~v10_lattices(esk15_0)|~r2_hidden(k6_lattices(esk15_0),esk16_0)),inference(rw,[status(thm)],[560,251,theory(equality)])).
% cnf(562,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)|$false|$false|$false|~r2_hidden(k6_lattices(esk15_0),esk16_0)),inference(rw,[status(thm)],[561,252,theory(equality)])).
% cnf(563,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[562,248,theory(equality)])).
% cnf(564,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v1_xboole_0(esk16_0)|v3_struct_0(esk15_0)),inference(cn,[status(thm)],[563,theory(equality)])).
% cnf(565,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)|v3_struct_0(esk15_0)),inference(sr,[status(thm)],[564,265,theory(equality)])).
% cnf(566,negated_conjecture,(k19_filter_2(esk15_0,esk16_0)=u1_struct_0(esk15_0)),inference(sr,[status(thm)],[565,253,theory(equality)])).
% cnf(816,plain,(v1_xboole_0(X1)|r1_filter_2(X1,X1,X1)),inference(pm,[status(thm)],[359,271,theory(equality)])).
% cnf(849,negated_conjecture,(r1_filter_2(u1_struct_0(esk15_0),u1_struct_0(esk15_0),esk16_0)),inference(rw,[status(thm)],[373,566,theory(equality)])).
% cnf(1006,negated_conjecture,(esk16_0=u1_struct_0(esk15_0)|v1_xboole_0(u1_struct_0(esk15_0))|~r1_filter_2(u1_struct_0(esk15_0),u1_struct_0(esk15_0),esk16_0)),inference(pm,[status(thm)],[450,438,theory(equality)])).
% cnf(1020,negated_conjecture,(esk16_0=u1_struct_0(esk15_0)|v1_xboole_0(u1_struct_0(esk15_0))|$false),inference(rw,[status(thm)],[1006,849,theory(equality)])).
% cnf(1021,negated_conjecture,(esk16_0=u1_struct_0(esk15_0)|v1_xboole_0(u1_struct_0(esk15_0))),inference(cn,[status(thm)],[1020,theory(equality)])).
% cnf(1022,negated_conjecture,(u1_struct_0(esk15_0)=esk16_0),inference(sr,[status(thm)],[1021,463,theory(equality)])).
% cnf(1117,negated_conjecture,($false|~r1_filter_2(u1_struct_0(esk15_0),esk16_0,u1_struct_0(esk15_0))),inference(rw,[status(thm)],[455,1022,theory(equality)])).
% cnf(1118,negated_conjecture,($false|~r1_filter_2(esk16_0,esk16_0,esk16_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1117,1022,theory(equality)]),1022,theory(equality)])).
% cnf(1119,negated_conjecture,(~r1_filter_2(esk16_0,esk16_0,esk16_0)),inference(cn,[status(thm)],[1118,theory(equality)])).
% cnf(1178,negated_conjecture,(v1_xboole_0(esk16_0)),inference(pm,[status(thm)],[1119,816,theory(equality)])).
% cnf(1179,negated_conjecture,($false),inference(sr,[status(thm)],[1178,265,theory(equality)])).
% cnf(1180,negated_conjecture,($false),1179,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 321
% # ...of these trivial : 8
% # ...subsumed : 47
% # ...remaining for further processing: 266
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 81
% # Generated clauses : 419
% # ...of the previous two non-trivial : 443
% # Contextual simplify-reflections : 0
% # Paramodulations : 415
% # Factorizations : 0
% # Equation resolutions : 1
% # Current number of processed clauses: 183
% # Positive orientable unit clauses: 56
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 15
% # Non-unit-clauses : 112
% # Current number of unprocessed clauses: 131
% # ...number of literals in the above : 382
% # Clause-clause subsumption calls (NU) : 621
% # Rec. Clause-clause subsumption calls : 408
% # Unit Clause-clause subsumption calls : 104
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 24
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 230 leaves, 1.20+/-0.750 terms/leaf
% # Paramod-from index: 77 leaves, 1.00+/-0.000 terms/leaf
% # Paramod-into index: 176 leaves, 1.14+/-0.526 terms/leaf
% # -------------------------------------------------
% # User time : 0.044 s
% # System time : 0.002 s
% # Total time : 0.046 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.15 CPU 0.23 WC
% FINAL PrfWatch: 0.15 CPU 0.23 WC
% SZS output end Solution for /tmp/SystemOnTPTP22492/LAT313+1.tptp
%
%------------------------------------------------------------------------------