TSTP Solution File: LAT297+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT297+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 09:51:13 EST 2010
% Result : Theorem 2.73s
% Output : Solution 2.73s
% 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/SystemOnTPTP30200/LAT297+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30200/LAT297+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30200/LAT297+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 30332
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(7, axiom,![X1]:![X2]:![X3]:((r2_hidden(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(8, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(m2_lattice4(X2,X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r2_hidden(X4,X2))=>(r2_hidden(k4_lattices(X1,X3,X4),X2)&r2_hidden(k3_lattices(X1,X3,X4),X2)))))))),file('/tmp/SRASS.s.p', d10_lattice4)).
% fof(19, axiom,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k4_lattices(X1,X3,X2)),file('/tmp/SRASS.s.p', commutativity_k4_lattices)).
% fof(32, axiom,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)),file('/tmp/SRASS.s.p', redefinition_k4_lattices)).
% fof(33, axiom,![X1]:((~(v3_struct_0(X1))&l3_lattices(X1))=>(v9_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,k1_lattices(X1,X2,X3))=X2)))),file('/tmp/SRASS.s.p', d9_lattices)).
% fof(34, axiom,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k3_lattices)).
% fof(36, axiom,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k3_lattices(X1,X3,X2)),file('/tmp/SRASS.s.p', commutativity_k3_lattices)).
% fof(37, axiom,![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(39, axiom,![X1]:(l3_lattices(X1)=>((~(v3_struct_0(X1))&v10_lattices(X1))=>((((((~(v3_struct_0(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))),file('/tmp/SRASS.s.p', cc1_lattices)).
% fof(43, axiom,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)),file('/tmp/SRASS.s.p', redefinition_k3_lattices)).
% fof(85, conjecture,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r2_hidden(X4,X2))<=>r2_hidden(k4_lattices(X1,X3,X4),X2))))=>m2_lattice4(X2,X1)))),file('/tmp/SRASS.s.p', t13_filter_2)).
% fof(86, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r2_hidden(X4,X2))<=>r2_hidden(k4_lattices(X1,X3,X4),X2))))=>m2_lattice4(X2,X1))))),inference(assume_negation,[status(cth)],[85])).
% fof(90, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(m2_lattice4(X2,X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r2_hidden(X4,X2))=>(r2_hidden(k4_lattices(X1,X3,X4),X2)&r2_hidden(k3_lattices(X1,X3,X4),X2)))))))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(96, plain,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k4_lattices(X1,X3,X2)),inference(fof_simplification,[status(thm)],[19,theory(equality)])).
% fof(101, plain,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)),inference(fof_simplification,[status(thm)],[32,theory(equality)])).
% fof(102, plain,![X1]:((~(v3_struct_0(X1))&l3_lattices(X1))=>(v9_lattices(X1)<=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,k1_lattices(X1,X2,X3))=X2)))),inference(fof_simplification,[status(thm)],[33,theory(equality)])).
% fof(103, plain,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[34,theory(equality)])).
% fof(105, plain,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k3_lattices(X1,X3,X2)),inference(fof_simplification,[status(thm)],[36,theory(equality)])).
% fof(106, plain,![X1]:(l3_lattices(X1)=>((~(v3_struct_0(X1))&v10_lattices(X1))=>((((((~(v3_struct_0(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% fof(110, plain,![X1]:![X2]:![X3]:(((((~(v3_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)),inference(fof_simplification,[status(thm)],[43,theory(equality)])).
% fof(124, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>(![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r2_hidden(X3,X2)&r2_hidden(X4,X2))<=>r2_hidden(k4_lattices(X1,X3,X4),X2))))=>m2_lattice4(X2,X1))))),inference(fof_simplification,[status(thm)],[86,theory(equality)])).
% fof(145, plain,![X1]:![X2]:![X3]:((~(r2_hidden(X1,X2))|~(m1_subset_1(X2,k1_zfmisc_1(X3))))|m1_subset_1(X1,X3)),inference(fof_nnf,[status(thm)],[7])).
% fof(146, plain,![X4]:![X5]:![X6]:((~(r2_hidden(X4,X5))|~(m1_subset_1(X5,k1_zfmisc_1(X6))))|m1_subset_1(X4,X6)),inference(variable_rename,[status(thm)],[145])).
% cnf(147,plain,(m1_subset_1(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(X2))|~r2_hidden(X1,X3)),inference(split_conjunct,[status(thm)],[146])).
% fof(148, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))|((~(m2_lattice4(X2,X1))|![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X1)))|((~(r2_hidden(X3,X2))|~(r2_hidden(X4,X2)))|(r2_hidden(k4_lattices(X1,X3,X4),X2)&r2_hidden(k3_lattices(X1,X3,X4),X2))))))&(?[X3]:(m1_subset_1(X3,u1_struct_0(X1))&?[X4]:(m1_subset_1(X4,u1_struct_0(X1))&((r2_hidden(X3,X2)&r2_hidden(X4,X2))&(~(r2_hidden(k4_lattices(X1,X3,X4),X2))|~(r2_hidden(k3_lattices(X1,X3,X4),X2))))))|m2_lattice4(X2,X1))))),inference(fof_nnf,[status(thm)],[90])).
% fof(149, plain,![X5]:(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))))|((~(m2_lattice4(X6,X5))|![X7]:(~(m1_subset_1(X7,u1_struct_0(X5)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6)))|(r2_hidden(k4_lattices(X5,X7,X8),X6)&r2_hidden(k3_lattices(X5,X7,X8),X6))))))&(?[X9]:(m1_subset_1(X9,u1_struct_0(X5))&?[X10]:(m1_subset_1(X10,u1_struct_0(X5))&((r2_hidden(X9,X6)&r2_hidden(X10,X6))&(~(r2_hidden(k4_lattices(X5,X9,X10),X6))|~(r2_hidden(k3_lattices(X5,X9,X10),X6))))))|m2_lattice4(X6,X5))))),inference(variable_rename,[status(thm)],[148])).
% fof(150, plain,![X5]:(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5))))|((~(m2_lattice4(X6,X5))|![X7]:(~(m1_subset_1(X7,u1_struct_0(X5)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6)))|(r2_hidden(k4_lattices(X5,X7,X8),X6)&r2_hidden(k3_lattices(X5,X7,X8),X6))))))&((m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))&(m1_subset_1(esk5_2(X5,X6),u1_struct_0(X5))&((r2_hidden(esk4_2(X5,X6),X6)&r2_hidden(esk5_2(X5,X6),X6))&(~(r2_hidden(k4_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6))|~(r2_hidden(k3_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6))))))|m2_lattice4(X6,X5))))),inference(skolemize,[status(esa)],[149])).
% fof(151, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m1_subset_1(X8,u1_struct_0(X5)))|((~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6)))|(r2_hidden(k4_lattices(X5,X7,X8),X6)&r2_hidden(k3_lattices(X5,X7,X8),X6))))|~(m1_subset_1(X7,u1_struct_0(X5))))|~(m2_lattice4(X6,X5)))&((m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))&(m1_subset_1(esk5_2(X5,X6),u1_struct_0(X5))&((r2_hidden(esk4_2(X5,X6),X6)&r2_hidden(esk5_2(X5,X6),X6))&(~(r2_hidden(k4_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6))|~(r2_hidden(k3_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6))))))|m2_lattice4(X6,X5)))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))),inference(shift_quantors,[status(thm)],[150])).
% fof(152, plain,![X5]:![X6]:![X7]:![X8]:((((((((r2_hidden(k4_lattices(X5,X7,X8),X6)|(~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6))))|~(m1_subset_1(X8,u1_struct_0(X5))))|~(m1_subset_1(X7,u1_struct_0(X5))))|~(m2_lattice4(X6,X5)))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5))))&((((((r2_hidden(k3_lattices(X5,X7,X8),X6)|(~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6))))|~(m1_subset_1(X8,u1_struct_0(X5))))|~(m1_subset_1(X7,u1_struct_0(X5))))|~(m2_lattice4(X6,X5)))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))))&((((m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))|m2_lattice4(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5))))&((((m1_subset_1(esk5_2(X5,X6),u1_struct_0(X5))|m2_lattice4(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5))))&(((((r2_hidden(esk4_2(X5,X6),X6)|m2_lattice4(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5))))&(((r2_hidden(esk5_2(X5,X6),X6)|m2_lattice4(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))))&((((~(r2_hidden(k4_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6))|~(r2_hidden(k3_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6)))|m2_lattice4(X6,X5))|~(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))))|((v3_struct_0(X5)|~(v10_lattices(X5)))|~(l3_lattices(X5)))))))),inference(distribute,[status(thm)],[151])).
% cnf(153,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~r2_hidden(k3_lattices(X1,esk4_2(X1,X2),esk5_2(X1,X2)),X2)|~r2_hidden(k4_lattices(X1,esk4_2(X1,X2),esk5_2(X1,X2)),X2)),inference(split_conjunct,[status(thm)],[152])).
% cnf(154,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|r2_hidden(esk5_2(X1,X2),X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))),inference(split_conjunct,[status(thm)],[152])).
% cnf(155,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|r2_hidden(esk4_2(X1,X2),X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))),inference(split_conjunct,[status(thm)],[152])).
% cnf(156,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|m1_subset_1(esk5_2(X1,X2),u1_struct_0(X1))|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))),inference(split_conjunct,[status(thm)],[152])).
% cnf(157,plain,(v3_struct_0(X1)|m2_lattice4(X2,X1)|m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))),inference(split_conjunct,[status(thm)],[152])).
% fof(200, plain,![X1]:![X2]:![X3]:(((((v3_struct_0(X1)|~(v6_lattices(X1)))|~(l1_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|k4_lattices(X1,X2,X3)=k4_lattices(X1,X3,X2)),inference(fof_nnf,[status(thm)],[96])).
% fof(201, plain,![X4]:![X5]:![X6]:(((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(l1_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|k4_lattices(X4,X5,X6)=k4_lattices(X4,X6,X5)),inference(variable_rename,[status(thm)],[200])).
% cnf(202,plain,(k4_lattices(X1,X2,X3)=k4_lattices(X1,X3,X2)|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_lattices(X1)|~v6_lattices(X1)),inference(split_conjunct,[status(thm)],[201])).
% fof(238, plain,![X1]:![X2]:![X3]:(((((v3_struct_0(X1)|~(v6_lattices(X1)))|~(l1_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)),inference(fof_nnf,[status(thm)],[101])).
% fof(239, plain,![X4]:![X5]:![X6]:(((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(l1_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|k4_lattices(X4,X5,X6)=k2_lattices(X4,X5,X6)),inference(variable_rename,[status(thm)],[238])).
% cnf(240,plain,(k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_lattices(X1)|~v6_lattices(X1)),inference(split_conjunct,[status(thm)],[239])).
% fof(241, plain,![X1]:((v3_struct_0(X1)|~(l3_lattices(X1)))|((~(v9_lattices(X1))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|k2_lattices(X1,X2,k1_lattices(X1,X2,X3))=X2)))&(?[X2]:(m1_subset_1(X2,u1_struct_0(X1))&?[X3]:(m1_subset_1(X3,u1_struct_0(X1))&~(k2_lattices(X1,X2,k1_lattices(X1,X2,X3))=X2)))|v9_lattices(X1)))),inference(fof_nnf,[status(thm)],[102])).
% fof(242, plain,![X4]:((v3_struct_0(X4)|~(l3_lattices(X4)))|((~(v9_lattices(X4))|![X5]:(~(m1_subset_1(X5,u1_struct_0(X4)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X4)))|k2_lattices(X4,X5,k1_lattices(X4,X5,X6))=X5)))&(?[X7]:(m1_subset_1(X7,u1_struct_0(X4))&?[X8]:(m1_subset_1(X8,u1_struct_0(X4))&~(k2_lattices(X4,X7,k1_lattices(X4,X7,X8))=X7)))|v9_lattices(X4)))),inference(variable_rename,[status(thm)],[241])).
% fof(243, plain,![X4]:((v3_struct_0(X4)|~(l3_lattices(X4)))|((~(v9_lattices(X4))|![X5]:(~(m1_subset_1(X5,u1_struct_0(X4)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X4)))|k2_lattices(X4,X5,k1_lattices(X4,X5,X6))=X5)))&((m1_subset_1(esk16_1(X4),u1_struct_0(X4))&(m1_subset_1(esk17_1(X4),u1_struct_0(X4))&~(k2_lattices(X4,esk16_1(X4),k1_lattices(X4,esk16_1(X4),esk17_1(X4)))=esk16_1(X4))))|v9_lattices(X4)))),inference(skolemize,[status(esa)],[242])).
% fof(244, plain,![X4]:![X5]:![X6]:(((((~(m1_subset_1(X6,u1_struct_0(X4)))|k2_lattices(X4,X5,k1_lattices(X4,X5,X6))=X5)|~(m1_subset_1(X5,u1_struct_0(X4))))|~(v9_lattices(X4)))&((m1_subset_1(esk16_1(X4),u1_struct_0(X4))&(m1_subset_1(esk17_1(X4),u1_struct_0(X4))&~(k2_lattices(X4,esk16_1(X4),k1_lattices(X4,esk16_1(X4),esk17_1(X4)))=esk16_1(X4))))|v9_lattices(X4)))|(v3_struct_0(X4)|~(l3_lattices(X4)))),inference(shift_quantors,[status(thm)],[243])).
% fof(245, plain,![X4]:![X5]:![X6]:(((((~(m1_subset_1(X6,u1_struct_0(X4)))|k2_lattices(X4,X5,k1_lattices(X4,X5,X6))=X5)|~(m1_subset_1(X5,u1_struct_0(X4))))|~(v9_lattices(X4)))|(v3_struct_0(X4)|~(l3_lattices(X4))))&(((m1_subset_1(esk16_1(X4),u1_struct_0(X4))|v9_lattices(X4))|(v3_struct_0(X4)|~(l3_lattices(X4))))&(((m1_subset_1(esk17_1(X4),u1_struct_0(X4))|v9_lattices(X4))|(v3_struct_0(X4)|~(l3_lattices(X4))))&((~(k2_lattices(X4,esk16_1(X4),k1_lattices(X4,esk16_1(X4),esk17_1(X4)))=esk16_1(X4))|v9_lattices(X4))|(v3_struct_0(X4)|~(l3_lattices(X4))))))),inference(distribute,[status(thm)],[244])).
% cnf(249,plain,(v3_struct_0(X1)|k2_lattices(X1,X2,k1_lattices(X1,X2,X3))=X2|~l3_lattices(X1)|~v9_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[245])).
% fof(250, plain,![X1]:![X2]:![X3]:(((((v3_struct_0(X1)|~(v4_lattices(X1)))|~(l2_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[103])).
% fof(251, plain,![X4]:![X5]:![X6]:(((((v3_struct_0(X4)|~(v4_lattices(X4)))|~(l2_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|m1_subset_1(k3_lattices(X4,X5,X6),u1_struct_0(X4))),inference(variable_rename,[status(thm)],[250])).
% cnf(252,plain,(m1_subset_1(k3_lattices(X1,X2,X3),u1_struct_0(X1))|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l2_lattices(X1)|~v4_lattices(X1)),inference(split_conjunct,[status(thm)],[251])).
% fof(257, plain,![X1]:![X2]:![X3]:(((((v3_struct_0(X1)|~(v4_lattices(X1)))|~(l2_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|k3_lattices(X1,X2,X3)=k3_lattices(X1,X3,X2)),inference(fof_nnf,[status(thm)],[105])).
% fof(258, plain,![X4]:![X5]:![X6]:(((((v3_struct_0(X4)|~(v4_lattices(X4)))|~(l2_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|k3_lattices(X4,X5,X6)=k3_lattices(X4,X6,X5)),inference(variable_rename,[status(thm)],[257])).
% cnf(259,plain,(k3_lattices(X1,X2,X3)=k3_lattices(X1,X3,X2)|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l2_lattices(X1)|~v4_lattices(X1)),inference(split_conjunct,[status(thm)],[258])).
% fof(260, plain,![X1]:(~(l3_lattices(X1))|(l1_lattices(X1)&l2_lattices(X1))),inference(fof_nnf,[status(thm)],[37])).
% fof(261, plain,![X2]:(~(l3_lattices(X2))|(l1_lattices(X2)&l2_lattices(X2))),inference(variable_rename,[status(thm)],[260])).
% fof(262, plain,![X2]:((l1_lattices(X2)|~(l3_lattices(X2)))&(l2_lattices(X2)|~(l3_lattices(X2)))),inference(distribute,[status(thm)],[261])).
% cnf(263,plain,(l2_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[262])).
% cnf(264,plain,(l1_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[262])).
% fof(268, plain,![X1]:(~(l3_lattices(X1))|((v3_struct_0(X1)|~(v10_lattices(X1)))|((((((~(v3_struct_0(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))),inference(fof_nnf,[status(thm)],[106])).
% fof(269, plain,![X2]:(~(l3_lattices(X2))|((v3_struct_0(X2)|~(v10_lattices(X2)))|((((((~(v3_struct_0(X2))&v4_lattices(X2))&v5_lattices(X2))&v6_lattices(X2))&v7_lattices(X2))&v8_lattices(X2))&v9_lattices(X2)))),inference(variable_rename,[status(thm)],[268])).
% fof(270, plain,![X2]:((((((((~(v3_struct_0(X2))|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2)))&((v4_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2))))&((v5_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2))))&((v6_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2))))&((v7_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2))))&((v8_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2))))&((v9_lattices(X2)|(v3_struct_0(X2)|~(v10_lattices(X2))))|~(l3_lattices(X2)))),inference(distribute,[status(thm)],[269])).
% cnf(271,plain,(v3_struct_0(X1)|v9_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[270])).
% cnf(274,plain,(v3_struct_0(X1)|v6_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[270])).
% cnf(276,plain,(v3_struct_0(X1)|v4_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[270])).
% fof(291, plain,![X1]:![X2]:![X3]:(((((v3_struct_0(X1)|~(v4_lattices(X1)))|~(l2_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)),inference(fof_nnf,[status(thm)],[110])).
% fof(292, plain,![X4]:![X5]:![X6]:(((((v3_struct_0(X4)|~(v4_lattices(X4)))|~(l2_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|k3_lattices(X4,X5,X6)=k1_lattices(X4,X5,X6)),inference(variable_rename,[status(thm)],[291])).
% cnf(293,plain,(k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l2_lattices(X1)|~v4_lattices(X1)),inference(split_conjunct,[status(thm)],[292])).
% fof(426, negated_conjecture,?[X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&?[X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))&(![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X1)))|(((~(r2_hidden(X3,X2))|~(r2_hidden(X4,X2)))|r2_hidden(k4_lattices(X1,X3,X4),X2))&(~(r2_hidden(k4_lattices(X1,X3,X4),X2))|(r2_hidden(X3,X2)&r2_hidden(X4,X2))))))&~(m2_lattice4(X2,X1))))),inference(fof_nnf,[status(thm)],[124])).
% fof(427, negated_conjecture,?[X5]:(((~(v3_struct_0(X5))&v10_lattices(X5))&l3_lattices(X5))&?[X6]:(m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))&(![X7]:(~(m1_subset_1(X7,u1_struct_0(X5)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|(((~(r2_hidden(X7,X6))|~(r2_hidden(X8,X6)))|r2_hidden(k4_lattices(X5,X7,X8),X6))&(~(r2_hidden(k4_lattices(X5,X7,X8),X6))|(r2_hidden(X7,X6)&r2_hidden(X8,X6))))))&~(m2_lattice4(X6,X5))))),inference(variable_rename,[status(thm)],[426])).
% fof(428, negated_conjecture,(((~(v3_struct_0(esk25_0))&v10_lattices(esk25_0))&l3_lattices(esk25_0))&(m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))&(![X7]:(~(m1_subset_1(X7,u1_struct_0(esk25_0)))|![X8]:(~(m1_subset_1(X8,u1_struct_0(esk25_0)))|(((~(r2_hidden(X7,esk26_0))|~(r2_hidden(X8,esk26_0)))|r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0))&(~(r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0))|(r2_hidden(X7,esk26_0)&r2_hidden(X8,esk26_0))))))&~(m2_lattice4(esk26_0,esk25_0))))),inference(skolemize,[status(esa)],[427])).
% fof(429, negated_conjecture,![X7]:![X8]:(((((~(m1_subset_1(X8,u1_struct_0(esk25_0)))|(((~(r2_hidden(X7,esk26_0))|~(r2_hidden(X8,esk26_0)))|r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0))&(~(r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0))|(r2_hidden(X7,esk26_0)&r2_hidden(X8,esk26_0)))))|~(m1_subset_1(X7,u1_struct_0(esk25_0))))&~(m2_lattice4(esk26_0,esk25_0)))&m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0))))&((~(v3_struct_0(esk25_0))&v10_lattices(esk25_0))&l3_lattices(esk25_0))),inference(shift_quantors,[status(thm)],[428])).
% fof(430, negated_conjecture,![X7]:![X8]:((((((((~(r2_hidden(X7,esk26_0))|~(r2_hidden(X8,esk26_0)))|r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0))|~(m1_subset_1(X8,u1_struct_0(esk25_0))))|~(m1_subset_1(X7,u1_struct_0(esk25_0))))&((((r2_hidden(X7,esk26_0)|~(r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0)))|~(m1_subset_1(X8,u1_struct_0(esk25_0))))|~(m1_subset_1(X7,u1_struct_0(esk25_0))))&(((r2_hidden(X8,esk26_0)|~(r2_hidden(k4_lattices(esk25_0,X7,X8),esk26_0)))|~(m1_subset_1(X8,u1_struct_0(esk25_0))))|~(m1_subset_1(X7,u1_struct_0(esk25_0))))))&~(m2_lattice4(esk26_0,esk25_0)))&m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0))))&((~(v3_struct_0(esk25_0))&v10_lattices(esk25_0))&l3_lattices(esk25_0))),inference(distribute,[status(thm)],[429])).
% cnf(431,negated_conjecture,(l3_lattices(esk25_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(432,negated_conjecture,(v10_lattices(esk25_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(433,negated_conjecture,(~v3_struct_0(esk25_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(434,negated_conjecture,(m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))),inference(split_conjunct,[status(thm)],[430])).
% cnf(435,negated_conjecture,(~m2_lattice4(esk26_0,esk25_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(436,negated_conjecture,(r2_hidden(X2,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k4_lattices(esk25_0,X1,X2),esk26_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(438,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X1,X2),esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)),inference(split_conjunct,[status(thm)],[430])).
% cnf(460,negated_conjecture,(l1_lattices(esk25_0)),inference(spm,[status(thm)],[264,431,theory(equality)])).
% cnf(462,negated_conjecture,(l2_lattices(esk25_0)),inference(spm,[status(thm)],[263,431,theory(equality)])).
% cnf(464,negated_conjecture,(v6_lattices(esk25_0)|v3_struct_0(esk25_0)|~l3_lattices(esk25_0)),inference(spm,[status(thm)],[274,432,theory(equality)])).
% cnf(465,negated_conjecture,(v6_lattices(esk25_0)|v3_struct_0(esk25_0)|$false),inference(rw,[status(thm)],[464,431,theory(equality)])).
% cnf(466,negated_conjecture,(v6_lattices(esk25_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[465,theory(equality)])).
% cnf(467,negated_conjecture,(v6_lattices(esk25_0)),inference(sr,[status(thm)],[466,433,theory(equality)])).
% cnf(468,negated_conjecture,(v9_lattices(esk25_0)|v3_struct_0(esk25_0)|~l3_lattices(esk25_0)),inference(spm,[status(thm)],[271,432,theory(equality)])).
% cnf(469,negated_conjecture,(v9_lattices(esk25_0)|v3_struct_0(esk25_0)|$false),inference(rw,[status(thm)],[468,431,theory(equality)])).
% cnf(470,negated_conjecture,(v9_lattices(esk25_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[469,theory(equality)])).
% cnf(471,negated_conjecture,(v9_lattices(esk25_0)),inference(sr,[status(thm)],[470,433,theory(equality)])).
% cnf(476,negated_conjecture,(v4_lattices(esk25_0)|v3_struct_0(esk25_0)|~l3_lattices(esk25_0)),inference(spm,[status(thm)],[276,432,theory(equality)])).
% cnf(477,negated_conjecture,(v4_lattices(esk25_0)|v3_struct_0(esk25_0)|$false),inference(rw,[status(thm)],[476,431,theory(equality)])).
% cnf(478,negated_conjecture,(v4_lattices(esk25_0)|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[477,theory(equality)])).
% cnf(479,negated_conjecture,(v4_lattices(esk25_0)),inference(sr,[status(thm)],[478,433,theory(equality)])).
% cnf(526,negated_conjecture,(m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X1,esk26_0)),inference(spm,[status(thm)],[147,434,theory(equality)])).
% cnf(572,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|~m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(spm,[status(thm)],[435,155,theory(equality)])).
% cnf(574,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|$false|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[572,434,theory(equality)])).
% cnf(575,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|$false|$false|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[574,431,theory(equality)])).
% cnf(576,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|$false|$false|$false),inference(rw,[status(thm)],[575,432,theory(equality)])).
% cnf(577,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)),inference(cn,[status(thm)],[576,theory(equality)])).
% cnf(578,negated_conjecture,(r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)),inference(sr,[status(thm)],[577,433,theory(equality)])).
% cnf(579,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)|~m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(spm,[status(thm)],[435,154,theory(equality)])).
% cnf(581,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)|$false|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[579,434,theory(equality)])).
% cnf(582,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)|$false|$false|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[581,431,theory(equality)])).
% cnf(583,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)|$false|$false|$false),inference(rw,[status(thm)],[582,432,theory(equality)])).
% cnf(584,negated_conjecture,(v3_struct_0(esk25_0)|r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(cn,[status(thm)],[583,theory(equality)])).
% cnf(585,negated_conjecture,(r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(sr,[status(thm)],[584,433,theory(equality)])).
% cnf(586,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(spm,[status(thm)],[435,157,theory(equality)])).
% cnf(588,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[586,434,theory(equality)])).
% cnf(589,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[588,431,theory(equality)])).
% cnf(590,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false),inference(rw,[status(thm)],[589,432,theory(equality)])).
% cnf(591,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[590,theory(equality)])).
% cnf(592,negated_conjecture,(m1_subset_1(esk4_2(esk25_0,esk26_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[591,433,theory(equality)])).
% cnf(597,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(spm,[status(thm)],[435,156,theory(equality)])).
% cnf(599,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[597,434,theory(equality)])).
% cnf(600,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~v10_lattices(esk25_0)),inference(rw,[status(thm)],[599,431,theory(equality)])).
% cnf(601,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|$false),inference(rw,[status(thm)],[600,432,theory(equality)])).
% cnf(602,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)),inference(cn,[status(thm)],[601,theory(equality)])).
% cnf(603,negated_conjecture,(m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))),inference(sr,[status(thm)],[602,433,theory(equality)])).
% cnf(619,negated_conjecture,(r2_hidden(X1,esk26_0)|v3_struct_0(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k2_lattices(esk25_0,X2,X1),esk26_0)|~l1_lattices(esk25_0)|~v6_lattices(esk25_0)),inference(spm,[status(thm)],[436,240,theory(equality)])).
% cnf(623,negated_conjecture,(r2_hidden(X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k2_lattices(esk25_0,X2,X1),esk26_0)|~l1_lattices(esk25_0)|~v6_lattices(esk25_0)),inference(sr,[status(thm)],[619,433,theory(equality)])).
% cnf(639,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|v3_struct_0(esk25_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)|~l1_lattices(esk25_0)|~v6_lattices(esk25_0)),inference(spm,[status(thm)],[438,202,theory(equality)])).
% cnf(649,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)|~l1_lattices(esk25_0)|~v6_lattices(esk25_0)),inference(sr,[status(thm)],[639,433,theory(equality)])).
% cnf(723,negated_conjecture,(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),X1)|v3_struct_0(esk25_0)|~v4_lattices(esk25_0)|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(spm,[status(thm)],[259,592,theory(equality)])).
% cnf(724,negated_conjecture,(k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))|v3_struct_0(esk25_0)|~v4_lattices(esk25_0)|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(spm,[status(thm)],[293,592,theory(equality)])).
% cnf(727,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~v4_lattices(esk25_0)|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(spm,[status(thm)],[252,592,theory(equality)])).
% cnf(728,negated_conjecture,(k2_lattices(esk25_0,X1,k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)))=X1|v3_struct_0(esk25_0)|~v9_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~l3_lattices(esk25_0)),inference(spm,[status(thm)],[249,592,theory(equality)])).
% cnf(731,negated_conjecture,(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),X1)|v3_struct_0(esk25_0)|$false|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[723,479,theory(equality)])).
% cnf(732,negated_conjecture,(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),X1)|v3_struct_0(esk25_0)|$false|$false|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[731,462,theory(equality)])).
% cnf(733,negated_conjecture,(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),X1)|v3_struct_0(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(cn,[status(thm)],[732,theory(equality)])).
% cnf(734,negated_conjecture,(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),X1)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(sr,[status(thm)],[733,433,theory(equality)])).
% cnf(735,negated_conjecture,(k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))|v3_struct_0(esk25_0)|$false|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[724,479,theory(equality)])).
% cnf(736,negated_conjecture,(k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))|v3_struct_0(esk25_0)|$false|$false|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[735,462,theory(equality)])).
% cnf(737,negated_conjecture,(k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))|v3_struct_0(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(cn,[status(thm)],[736,theory(equality)])).
% cnf(738,negated_conjecture,(k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(sr,[status(thm)],[737,433,theory(equality)])).
% cnf(745,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|~l2_lattices(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[727,479,theory(equality)])).
% cnf(746,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|$false|$false|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(rw,[status(thm)],[745,462,theory(equality)])).
% cnf(747,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|v3_struct_0(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(cn,[status(thm)],[746,theory(equality)])).
% cnf(748,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(sr,[status(thm)],[747,433,theory(equality)])).
% cnf(749,negated_conjecture,(k2_lattices(esk25_0,X1,k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)))=X1|v3_struct_0(esk25_0)|$false|~m1_subset_1(X1,u1_struct_0(esk25_0))|~l3_lattices(esk25_0)),inference(rw,[status(thm)],[728,471,theory(equality)])).
% cnf(750,negated_conjecture,(k2_lattices(esk25_0,X1,k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)))=X1|v3_struct_0(esk25_0)|$false|~m1_subset_1(X1,u1_struct_0(esk25_0))|$false),inference(rw,[status(thm)],[749,431,theory(equality)])).
% cnf(751,negated_conjecture,(k2_lattices(esk25_0,X1,k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)))=X1|v3_struct_0(esk25_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(cn,[status(thm)],[750,theory(equality)])).
% cnf(752,negated_conjecture,(k2_lattices(esk25_0,X1,k1_lattices(esk25_0,X1,esk4_2(esk25_0,esk26_0)))=X1|~m1_subset_1(X1,u1_struct_0(esk25_0))),inference(sr,[status(thm)],[751,433,theory(equality)])).
% cnf(4293,negated_conjecture,(r2_hidden(X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k2_lattices(esk25_0,X2,X1),esk26_0)|$false|~v6_lattices(esk25_0)),inference(rw,[status(thm)],[623,460,theory(equality)])).
% cnf(4294,negated_conjecture,(r2_hidden(X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k2_lattices(esk25_0,X2,X1),esk26_0)|$false|$false),inference(rw,[status(thm)],[4293,467,theory(equality)])).
% cnf(4295,negated_conjecture,(r2_hidden(X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk25_0))|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(k2_lattices(esk25_0,X2,X1),esk26_0)),inference(cn,[status(thm)],[4294,theory(equality)])).
% cnf(6285,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)|$false|~v6_lattices(esk25_0)),inference(rw,[status(thm)],[649,460,theory(equality)])).
% cnf(6286,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)|$false|$false),inference(rw,[status(thm)],[6285,467,theory(equality)])).
% cnf(6287,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~m1_subset_1(X1,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)),inference(cn,[status(thm)],[6286,theory(equality)])).
% cnf(6288,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~m1_subset_1(X2,u1_struct_0(esk25_0))|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)),inference(csr,[status(thm)],[6287,526])).
% cnf(6289,negated_conjecture,(r2_hidden(k4_lattices(esk25_0,X2,X1),esk26_0)|~r2_hidden(X2,esk26_0)|~r2_hidden(X1,esk26_0)),inference(csr,[status(thm)],[6288,526])).
% cnf(6304,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|~m1_subset_1(esk26_0,k1_zfmisc_1(u1_struct_0(esk25_0)))|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|~r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(spm,[status(thm)],[153,6289,theory(equality)])).
% cnf(6310,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|$false|~l3_lattices(esk25_0)|~v10_lattices(esk25_0)|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|~r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[6304,434,theory(equality)])).
% cnf(6311,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|~v10_lattices(esk25_0)|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|~r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[6310,431,theory(equality)])).
% cnf(6312,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|~r2_hidden(esk4_2(esk25_0,esk26_0),esk26_0)|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[6311,432,theory(equality)])).
% cnf(6313,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|$false|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[6312,578,theory(equality)])).
% cnf(6314,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|$false|$false|$false|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|$false|$false),inference(rw,[status(thm)],[6313,585,theory(equality)])).
% cnf(6315,negated_conjecture,(m2_lattice4(esk26_0,esk25_0)|v3_struct_0(esk25_0)|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)),inference(cn,[status(thm)],[6314,theory(equality)])).
% cnf(6316,negated_conjecture,(v3_struct_0(esk25_0)|~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)),inference(sr,[status(thm)],[6315,435,theory(equality)])).
% cnf(6317,negated_conjecture,(~r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)),inference(sr,[status(thm)],[6316,433,theory(equality)])).
% cnf(40072,negated_conjecture,(k3_lattices(esk25_0,esk5_2(esk25_0,esk26_0),esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[734,603,theory(equality)])).
% cnf(40313,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|~m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))),inference(spm,[status(thm)],[748,40072,theory(equality)])).
% cnf(40316,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|$false),inference(rw,[status(thm)],[40313,603,theory(equality)])).
% cnf(40317,negated_conjecture,(m1_subset_1(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))),inference(cn,[status(thm)],[40316,theory(equality)])).
% cnf(41116,negated_conjecture,(k1_lattices(esk25_0,esk5_2(esk25_0,esk26_0),esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk5_2(esk25_0,esk26_0),esk4_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[738,603,theory(equality)])).
% cnf(41328,negated_conjecture,(k1_lattices(esk25_0,esk5_2(esk25_0,esk26_0),esk4_2(esk25_0,esk26_0))=k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[41116,40072,theory(equality)])).
% cnf(41873,negated_conjecture,(k2_lattices(esk25_0,esk5_2(esk25_0,esk26_0),k1_lattices(esk25_0,esk5_2(esk25_0,esk26_0),esk4_2(esk25_0,esk26_0)))=esk5_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[752,603,theory(equality)])).
% cnf(42088,negated_conjecture,(k2_lattices(esk25_0,esk5_2(esk25_0,esk26_0),k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)))=esk5_2(esk25_0,esk26_0)),inference(rw,[status(thm)],[41873,41328,theory(equality)])).
% cnf(42189,negated_conjecture,(r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|~m1_subset_1(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),u1_struct_0(esk25_0))|~m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(spm,[status(thm)],[4295,42088,theory(equality)])).
% cnf(42217,negated_conjecture,(r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|$false|~m1_subset_1(esk5_2(esk25_0,esk26_0),u1_struct_0(esk25_0))|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[42189,40317,theory(equality)])).
% cnf(42218,negated_conjecture,(r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|$false|$false|~r2_hidden(esk5_2(esk25_0,esk26_0),esk26_0)),inference(rw,[status(thm)],[42217,603,theory(equality)])).
% cnf(42219,negated_conjecture,(r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)|$false|$false|$false),inference(rw,[status(thm)],[42218,585,theory(equality)])).
% cnf(42220,negated_conjecture,(r2_hidden(k3_lattices(esk25_0,esk4_2(esk25_0,esk26_0),esk5_2(esk25_0,esk26_0)),esk26_0)),inference(cn,[status(thm)],[42219,theory(equality)])).
% cnf(42221,negated_conjecture,($false),inference(sr,[status(thm)],[42220,6317,theory(equality)])).
% cnf(42222,negated_conjecture,($false),42221,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1237
% # ...of these trivial : 45
% # ...subsumed : 267
% # ...remaining for further processing: 925
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 9
% # Backward-rewritten : 53
% # Generated clauses : 13407
% # ...of the previous two non-trivial : 13029
% # Contextual simplify-reflections : 190
% # Paramodulations : 13404
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 741
% # Positive orientable unit clauses: 324
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 34
% # Non-unit-clauses : 382
% # Current number of unprocessed clauses: 11407
% # ...number of literals in the above : 51627
% # Clause-clause subsumption calls (NU) : 10437
% # Rec. Clause-clause subsumption calls : 5868
% # Unit Clause-clause subsumption calls : 671
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1863
% # Indexed BW rewrite successes : 20
% # Backwards rewriting index: 510 leaves, 2.37+/-3.330 terms/leaf
% # Paramod-from index: 191 leaves, 2.39+/-3.896 terms/leaf
% # Paramod-into index: 400 leaves, 2.29+/-3.361 terms/leaf
% # -------------------------------------------------
% # User time : 0.755 s
% # System time : 0.032 s
% # Total time : 0.787 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.48 CPU 1.56 WC
% FINAL PrfWatch: 1.48 CPU 1.56 WC
% SZS output end Solution for /tmp/SystemOnTPTP30200/LAT297+1.tptp
%
%------------------------------------------------------------------------------