TSTP Solution File: LAT305+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT305+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 : 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 : Wed Dec 29 10:04:14 EST 2010
% Result : Theorem 1.95s
% Output : Solution 1.95s
% 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/SystemOnTPTP4553/LAT305+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4553/LAT305+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4553/LAT305+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 4649
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.023 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:?[X2]:m1_subset_1(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(4, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(5, axiom,![X1]:![X2]:((((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m2_filter_2(k18_filter_2(X1,X2),X1)),file('/tmp/SRASS.s.p', dt_k18_filter_2)).
% fof(6, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k18_filter_2(X1,X2)=a_2_0_filter_2(X1,X2))),file('/tmp/SRASS.s.p', d9_filter_2)).
% fof(9, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(10, 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(11, 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(12, 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)))=>m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k4_lattices)).
% fof(13, axiom,![X1]:![X2]:![X3]:((((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))&m1_subset_1(X3,u1_struct_0(X2)))=>(r2_hidden(X1,a_2_0_filter_2(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattices(X2,X4,X3)))),file('/tmp/SRASS.s.p', fraenkel_a_2_0_filter_2)).
% fof(14, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>?[X2]:(m2_lattice4(X2,X1)&~(v1_xboole_0(X2)))),file('/tmp/SRASS.s.p', rc1_lattice4)).
% fof(15, axiom,![X1]:((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>r1_lattices(X1,k4_lattices(X1,X2,X3),X2)))),file('/tmp/SRASS.s.p', t23_lattices)).
% fof(16, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(17, 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(20, axiom,![X1]:![X2]:![X3]:~(((r2_hidden(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))&v1_xboole_0(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(26, 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(29, axiom,![X1]:![X2]:![X3]:(((((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>r3_lattices(X1,X2,X2)),file('/tmp/SRASS.s.p', reflexivity_r3_lattices)).
% fof(31, axiom,![X1]:![X2]:![X3]:(((((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))),file('/tmp/SRASS.s.p', redefinition_r3_lattices)).
% fof(37, axiom,![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(42, 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(84, conjecture,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>((r2_hidden(X2,k18_filter_2(X1,X2))&r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2)))&r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)))))),file('/tmp/SRASS.s.p', t31_filter_2)).
% fof(85, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>((r2_hidden(X2,k18_filter_2(X1,X2))&r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2)))&r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2))))))),inference(assume_negation,[status(cth)],[84])).
% fof(87, plain,![X1]:![X2]:((((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m2_filter_2(k18_filter_2(X1,X2),X1)),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(88, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k18_filter_2(X1,X2)=a_2_0_filter_2(X1,X2))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(91, 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)],[10,theory(equality)])).
% fof(92, 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)))=>m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[12,theory(equality)])).
% fof(93, plain,![X1]:![X2]:![X3]:((((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))&m1_subset_1(X3,u1_struct_0(X2)))=>(r2_hidden(X1,a_2_0_filter_2(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattices(X2,X4,X3)))),inference(fof_simplification,[status(thm)],[13,theory(equality)])).
% fof(94, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>?[X2]:(m2_lattice4(X2,X1)&~(v1_xboole_0(X2)))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(95, plain,![X1]:((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>r1_lattices(X1,k4_lattices(X1,X2,X3),X2)))),inference(fof_simplification,[status(thm)],[15,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)],[17,theory(equality)])).
% fof(100, 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)],[26,theory(equality)])).
% fof(103, plain,![X1]:![X2]:![X3]:(((((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>r3_lattices(X1,X2,X2)),inference(fof_simplification,[status(thm)],[29,theory(equality)])).
% fof(105, plain,![X1]:![X2]:![X3]:(((((((~(v3_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))),inference(fof_simplification,[status(thm)],[31,theory(equality)])).
% fof(109, 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)],[42,theory(equality)])).
% fof(122, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>((r2_hidden(X2,k18_filter_2(X1,X2))&r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2)))&r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2))))))),inference(fof_simplification,[status(thm)],[85,theory(equality)])).
% fof(129, plain,![X3]:?[X4]:m1_subset_1(X4,X3),inference(variable_rename,[status(thm)],[3])).
% fof(130, plain,![X3]:m1_subset_1(esk2_1(X3),X3),inference(skolemize,[status(esa)],[129])).
% cnf(131,plain,(m1_subset_1(esk2_1(X1),X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(132, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[4])).
% fof(133, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[132])).
% cnf(134,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[133])).
% fof(135, plain,![X1]:![X2]:((((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|m2_filter_2(k18_filter_2(X1,X2),X1)),inference(fof_nnf,[status(thm)],[87])).
% fof(136, plain,![X3]:![X4]:((((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|~(m1_subset_1(X4,u1_struct_0(X3))))|m2_filter_2(k18_filter_2(X3,X4),X3)),inference(variable_rename,[status(thm)],[135])).
% cnf(137,plain,(m2_filter_2(k18_filter_2(X1,X2),X1)|v3_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[136])).
% fof(138, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|k18_filter_2(X1,X2)=a_2_0_filter_2(X1,X2))),inference(fof_nnf,[status(thm)],[88])).
% fof(139, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X3)))|k18_filter_2(X3,X4)=a_2_0_filter_2(X3,X4))),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,![X3]:![X4]:((~(m1_subset_1(X4,u1_struct_0(X3)))|k18_filter_2(X3,X4)=a_2_0_filter_2(X3,X4))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[139])).
% cnf(141,plain,(v3_struct_0(X1)|k18_filter_2(X1,X2)=a_2_0_filter_2(X1,X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[140])).
% fof(150, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(151, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[150])).
% cnf(152,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[151])).
% fof(153, 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)],[91])).
% fof(154, 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)],[153])).
% fof(155, 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)],[154])).
% cnf(156,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)],[155])).
% fof(157, 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)],[11])).
% fof(158, 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)],[157])).
% cnf(159,plain,(m1_subset_1(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(X2))|~r2_hidden(X1,X3)),inference(split_conjunct,[status(thm)],[158])).
% fof(160, 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))))|m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[92])).
% fof(161, 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))))|m1_subset_1(k4_lattices(X4,X5,X6),u1_struct_0(X4))),inference(variable_rename,[status(thm)],[160])).
% cnf(162,plain,(m1_subset_1(k4_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))|~l1_lattices(X1)|~v6_lattices(X1)),inference(split_conjunct,[status(thm)],[161])).
% fof(163, plain,![X1]:![X2]:![X3]:((((v3_struct_0(X2)|~(v10_lattices(X2)))|~(l3_lattices(X2)))|~(m1_subset_1(X3,u1_struct_0(X2))))|((~(r2_hidden(X1,a_2_0_filter_2(X2,X3)))|?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattices(X2,X4,X3)))&(![X4]:((~(m1_subset_1(X4,u1_struct_0(X2)))|~(X1=X4))|~(r3_lattices(X2,X4,X3)))|r2_hidden(X1,a_2_0_filter_2(X2,X3))))),inference(fof_nnf,[status(thm)],[93])).
% fof(164, plain,![X5]:![X6]:![X7]:((((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6))))|((~(r2_hidden(X5,a_2_0_filter_2(X6,X7)))|?[X8]:((m1_subset_1(X8,u1_struct_0(X6))&X5=X8)&r3_lattices(X6,X8,X7)))&(![X9]:((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattices(X6,X9,X7)))|r2_hidden(X5,a_2_0_filter_2(X6,X7))))),inference(variable_rename,[status(thm)],[163])).
% fof(165, plain,![X5]:![X6]:![X7]:((((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6))))|((~(r2_hidden(X5,a_2_0_filter_2(X6,X7)))|((m1_subset_1(esk5_3(X5,X6,X7),u1_struct_0(X6))&X5=esk5_3(X5,X6,X7))&r3_lattices(X6,esk5_3(X5,X6,X7),X7)))&(![X9]:((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattices(X6,X9,X7)))|r2_hidden(X5,a_2_0_filter_2(X6,X7))))),inference(skolemize,[status(esa)],[164])).
% fof(166, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattices(X6,X9,X7)))|r2_hidden(X5,a_2_0_filter_2(X6,X7)))&(~(r2_hidden(X5,a_2_0_filter_2(X6,X7)))|((m1_subset_1(esk5_3(X5,X6,X7),u1_struct_0(X6))&X5=esk5_3(X5,X6,X7))&r3_lattices(X6,esk5_3(X5,X6,X7),X7))))|(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6))))),inference(shift_quantors,[status(thm)],[165])).
% fof(167, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattices(X6,X9,X7)))|r2_hidden(X5,a_2_0_filter_2(X6,X7)))|(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6)))))&((((m1_subset_1(esk5_3(X5,X6,X7),u1_struct_0(X6))|~(r2_hidden(X5,a_2_0_filter_2(X6,X7))))|(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6)))))&((X5=esk5_3(X5,X6,X7)|~(r2_hidden(X5,a_2_0_filter_2(X6,X7))))|(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6))))))&((r3_lattices(X6,esk5_3(X5,X6,X7),X7)|~(r2_hidden(X5,a_2_0_filter_2(X6,X7))))|(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|~(m1_subset_1(X7,u1_struct_0(X6))))))),inference(distribute,[status(thm)],[166])).
% cnf(169,plain,(v3_struct_0(X2)|X3=esk5_3(X3,X2,X1)|~m1_subset_1(X1,u1_struct_0(X2))|~l3_lattices(X2)|~v10_lattices(X2)|~r2_hidden(X3,a_2_0_filter_2(X2,X1))),inference(split_conjunct,[status(thm)],[167])).
% cnf(170,plain,(v3_struct_0(X2)|m1_subset_1(esk5_3(X3,X2,X1),u1_struct_0(X2))|~m1_subset_1(X1,u1_struct_0(X2))|~l3_lattices(X2)|~v10_lattices(X2)|~r2_hidden(X3,a_2_0_filter_2(X2,X1))),inference(split_conjunct,[status(thm)],[167])).
% cnf(171,plain,(v3_struct_0(X2)|r2_hidden(X3,a_2_0_filter_2(X2,X1))|~m1_subset_1(X1,u1_struct_0(X2))|~l3_lattices(X2)|~v10_lattices(X2)|~r3_lattices(X2,X4,X1)|X3!=X4|~m1_subset_1(X4,u1_struct_0(X2))),inference(split_conjunct,[status(thm)],[167])).
% fof(172, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|?[X2]:(m2_lattice4(X2,X1)&~(v1_xboole_0(X2)))),inference(fof_nnf,[status(thm)],[94])).
% fof(173, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|?[X4]:(m2_lattice4(X4,X3)&~(v1_xboole_0(X4)))),inference(variable_rename,[status(thm)],[172])).
% fof(174, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|(m2_lattice4(esk6_1(X3),X3)&~(v1_xboole_0(esk6_1(X3))))),inference(skolemize,[status(esa)],[173])).
% fof(175, plain,![X3]:((m2_lattice4(esk6_1(X3),X3)|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))&(~(v1_xboole_0(esk6_1(X3)))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))),inference(distribute,[status(thm)],[174])).
% cnf(176,plain,(v3_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)|~v1_xboole_0(esk6_1(X1))),inference(split_conjunct,[status(thm)],[175])).
% cnf(177,plain,(v3_struct_0(X1)|m2_lattice4(esk6_1(X1),X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[175])).
% fof(178, plain,![X1]:((((v3_struct_0(X1)|~(v6_lattices(X1)))|~(v8_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|![X3]:(~(m1_subset_1(X3,u1_struct_0(X1)))|r1_lattices(X1,k4_lattices(X1,X2,X3),X2)))),inference(fof_nnf,[status(thm)],[95])).
% fof(179, plain,![X4]:((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(l3_lattices(X4)))|![X5]:(~(m1_subset_1(X5,u1_struct_0(X4)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X4)))|r1_lattices(X4,k4_lattices(X4,X5,X6),X5)))),inference(variable_rename,[status(thm)],[178])).
% fof(180, plain,![X4]:![X5]:![X6]:(((~(m1_subset_1(X6,u1_struct_0(X4)))|r1_lattices(X4,k4_lattices(X4,X5,X6),X5))|~(m1_subset_1(X5,u1_struct_0(X4))))|(((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(l3_lattices(X4)))),inference(shift_quantors,[status(thm)],[179])).
% cnf(181,plain,(v3_struct_0(X1)|r1_lattices(X1,k4_lattices(X1,X2,X3),X2)|~l3_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[180])).
% fof(182, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(183, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[183])).
% fof(185, 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(186, 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)],[185])).
% cnf(187,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)],[186])).
% fof(197, plain,![X1]:![X2]:![X3]:((~(r2_hidden(X1,X2))|~(m1_subset_1(X2,k1_zfmisc_1(X3))))|~(v1_xboole_0(X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(198, plain,![X4]:![X5]:![X6]:((~(r2_hidden(X4,X5))|~(m1_subset_1(X5,k1_zfmisc_1(X6))))|~(v1_xboole_0(X6))),inference(variable_rename,[status(thm)],[197])).
% cnf(199,plain,(~v1_xboole_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))|~r2_hidden(X3,X2)),inference(split_conjunct,[status(thm)],[198])).
% fof(215, 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)],[100])).
% fof(216, 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)],[215])).
% fof(217, 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)],[216])).
% fof(218, 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)],[217])).
% cnf(219,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)],[218])).
% cnf(220,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)],[218])).
% fof(230, plain,![X1]:![X2]:![X3]:(((((((v3_struct_0(X1)|~(v6_lattices(X1)))|~(v8_lattices(X1)))|~(v9_lattices(X1)))|~(l3_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|r3_lattices(X1,X2,X2)),inference(fof_nnf,[status(thm)],[103])).
% fof(231, plain,![X4]:![X5]:![X6]:(((((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(v9_lattices(X4)))|~(l3_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|r3_lattices(X4,X5,X5)),inference(variable_rename,[status(thm)],[230])).
% cnf(232,plain,(r3_lattices(X1,X2,X2)|v3_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_lattices(X1)|~v9_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)),inference(split_conjunct,[status(thm)],[231])).
% fof(237, plain,![X1]:![X2]:![X3]:(((((((v3_struct_0(X1)|~(v6_lattices(X1)))|~(v8_lattices(X1)))|~(v9_lattices(X1)))|~(l3_lattices(X1)))|~(m1_subset_1(X2,u1_struct_0(X1))))|~(m1_subset_1(X3,u1_struct_0(X1))))|((~(r3_lattices(X1,X2,X3))|r1_lattices(X1,X2,X3))&(~(r1_lattices(X1,X2,X3))|r3_lattices(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[105])).
% fof(238, plain,![X4]:![X5]:![X6]:(((((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(v9_lattices(X4)))|~(l3_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4))))|((~(r3_lattices(X4,X5,X6))|r1_lattices(X4,X5,X6))&(~(r1_lattices(X4,X5,X6))|r3_lattices(X4,X5,X6)))),inference(variable_rename,[status(thm)],[237])).
% fof(239, plain,![X4]:![X5]:![X6]:(((~(r3_lattices(X4,X5,X6))|r1_lattices(X4,X5,X6))|((((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(v9_lattices(X4)))|~(l3_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4)))))&((~(r1_lattices(X4,X5,X6))|r3_lattices(X4,X5,X6))|((((((v3_struct_0(X4)|~(v6_lattices(X4)))|~(v8_lattices(X4)))|~(v9_lattices(X4)))|~(l3_lattices(X4)))|~(m1_subset_1(X5,u1_struct_0(X4))))|~(m1_subset_1(X6,u1_struct_0(X4)))))),inference(distribute,[status(thm)],[238])).
% cnf(240,plain,(v3_struct_0(X2)|r3_lattices(X2,X3,X1)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~l3_lattices(X2)|~v9_lattices(X2)|~v8_lattices(X2)|~v6_lattices(X2)|~r1_lattices(X2,X3,X1)),inference(split_conjunct,[status(thm)],[239])).
% 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(264,plain,(l1_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[262])).
% fof(278, 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)],[109])).
% fof(279, 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)],[278])).
% fof(280, 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)],[279])).
% cnf(281,plain,(v3_struct_0(X1)|v9_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[280])).
% cnf(282,plain,(v3_struct_0(X1)|v8_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[280])).
% cnf(284,plain,(v3_struct_0(X1)|v6_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[280])).
% fof(409, negated_conjecture,?[X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&?[X2]:(m1_subset_1(X2,u1_struct_0(X1))&?[X3]:(m1_subset_1(X3,u1_struct_0(X1))&((~(r2_hidden(X2,k18_filter_2(X1,X2)))|~(r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))))|~(r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2))))))),inference(fof_nnf,[status(thm)],[122])).
% fof(410, negated_conjecture,?[X4]:(((~(v3_struct_0(X4))&v10_lattices(X4))&l3_lattices(X4))&?[X5]:(m1_subset_1(X5,u1_struct_0(X4))&?[X6]:(m1_subset_1(X6,u1_struct_0(X4))&((~(r2_hidden(X5,k18_filter_2(X4,X5)))|~(r2_hidden(k4_lattices(X4,X5,X6),k18_filter_2(X4,X5))))|~(r2_hidden(k4_lattices(X4,X6,X5),k18_filter_2(X4,X5))))))),inference(variable_rename,[status(thm)],[409])).
% fof(411, negated_conjecture,(((~(v3_struct_0(esk24_0))&v10_lattices(esk24_0))&l3_lattices(esk24_0))&(m1_subset_1(esk25_0,u1_struct_0(esk24_0))&(m1_subset_1(esk26_0,u1_struct_0(esk24_0))&((~(r2_hidden(esk25_0,k18_filter_2(esk24_0,esk25_0)))|~(r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),k18_filter_2(esk24_0,esk25_0))))|~(r2_hidden(k4_lattices(esk24_0,esk26_0,esk25_0),k18_filter_2(esk24_0,esk25_0))))))),inference(skolemize,[status(esa)],[410])).
% cnf(412,negated_conjecture,(~r2_hidden(k4_lattices(esk24_0,esk26_0,esk25_0),k18_filter_2(esk24_0,esk25_0))|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),k18_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,k18_filter_2(esk24_0,esk25_0))),inference(split_conjunct,[status(thm)],[411])).
% cnf(413,negated_conjecture,(m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(split_conjunct,[status(thm)],[411])).
% cnf(414,negated_conjecture,(m1_subset_1(esk25_0,u1_struct_0(esk24_0))),inference(split_conjunct,[status(thm)],[411])).
% cnf(415,negated_conjecture,(l3_lattices(esk24_0)),inference(split_conjunct,[status(thm)],[411])).
% cnf(416,negated_conjecture,(v10_lattices(esk24_0)),inference(split_conjunct,[status(thm)],[411])).
% cnf(417,negated_conjecture,(~v3_struct_0(esk24_0)),inference(split_conjunct,[status(thm)],[411])).
% cnf(428,plain,(v3_struct_0(X1)|r2_hidden(X2,a_2_0_filter_2(X1,X3))|~r3_lattices(X1,X2,X3)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l3_lattices(X1)),inference(er,[status(thm)],[171,theory(equality)])).
% cnf(430,negated_conjecture,(l1_lattices(esk24_0)),inference(spm,[status(thm)],[264,415,theory(equality)])).
% cnf(438,negated_conjecture,(v6_lattices(esk24_0)|v3_struct_0(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[284,416,theory(equality)])).
% cnf(439,negated_conjecture,(v6_lattices(esk24_0)|v3_struct_0(esk24_0)|$false),inference(rw,[status(thm)],[438,415,theory(equality)])).
% cnf(440,negated_conjecture,(v6_lattices(esk24_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[439,theory(equality)])).
% cnf(441,negated_conjecture,(v6_lattices(esk24_0)),inference(sr,[status(thm)],[440,417,theory(equality)])).
% cnf(442,negated_conjecture,(v8_lattices(esk24_0)|v3_struct_0(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[282,416,theory(equality)])).
% cnf(443,negated_conjecture,(v8_lattices(esk24_0)|v3_struct_0(esk24_0)|$false),inference(rw,[status(thm)],[442,415,theory(equality)])).
% cnf(444,negated_conjecture,(v8_lattices(esk24_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[443,theory(equality)])).
% cnf(445,negated_conjecture,(v8_lattices(esk24_0)),inference(sr,[status(thm)],[444,417,theory(equality)])).
% cnf(446,negated_conjecture,(v9_lattices(esk24_0)|v3_struct_0(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[281,416,theory(equality)])).
% cnf(447,negated_conjecture,(v9_lattices(esk24_0)|v3_struct_0(esk24_0)|$false),inference(rw,[status(thm)],[446,415,theory(equality)])).
% cnf(448,negated_conjecture,(v9_lattices(esk24_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[447,theory(equality)])).
% cnf(449,negated_conjecture,(v9_lattices(esk24_0)),inference(sr,[status(thm)],[448,417,theory(equality)])).
% cnf(466,plain,(v1_xboole_0(X1)|r2_hidden(esk2_1(X1),X1)),inference(spm,[status(thm)],[152,131,theory(equality)])).
% cnf(496,negated_conjecture,(k18_filter_2(esk24_0,esk26_0)=a_2_0_filter_2(esk24_0,esk26_0)|v3_struct_0(esk24_0)|~v10_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[141,413,theory(equality)])).
% cnf(497,negated_conjecture,(k18_filter_2(esk24_0,esk25_0)=a_2_0_filter_2(esk24_0,esk25_0)|v3_struct_0(esk24_0)|~v10_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[141,414,theory(equality)])).
% cnf(500,negated_conjecture,(k18_filter_2(esk24_0,esk26_0)=a_2_0_filter_2(esk24_0,esk26_0)|v3_struct_0(esk24_0)|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[496,416,theory(equality)])).
% cnf(501,negated_conjecture,(k18_filter_2(esk24_0,esk26_0)=a_2_0_filter_2(esk24_0,esk26_0)|v3_struct_0(esk24_0)|$false|$false),inference(rw,[status(thm)],[500,415,theory(equality)])).
% cnf(502,negated_conjecture,(k18_filter_2(esk24_0,esk26_0)=a_2_0_filter_2(esk24_0,esk26_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[501,theory(equality)])).
% cnf(503,negated_conjecture,(k18_filter_2(esk24_0,esk26_0)=a_2_0_filter_2(esk24_0,esk26_0)),inference(sr,[status(thm)],[502,417,theory(equality)])).
% cnf(504,negated_conjecture,(k18_filter_2(esk24_0,esk25_0)=a_2_0_filter_2(esk24_0,esk25_0)|v3_struct_0(esk24_0)|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[497,416,theory(equality)])).
% cnf(505,negated_conjecture,(k18_filter_2(esk24_0,esk25_0)=a_2_0_filter_2(esk24_0,esk25_0)|v3_struct_0(esk24_0)|$false|$false),inference(rw,[status(thm)],[504,415,theory(equality)])).
% cnf(506,negated_conjecture,(k18_filter_2(esk24_0,esk25_0)=a_2_0_filter_2(esk24_0,esk25_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(507,negated_conjecture,(k18_filter_2(esk24_0,esk25_0)=a_2_0_filter_2(esk24_0,esk25_0)),inference(sr,[status(thm)],[506,417,theory(equality)])).
% cnf(534,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~r2_hidden(X3,X2)|~m2_lattice4(X2,X1)|~v10_lattices(X1)|~l3_lattices(X1)),inference(spm,[status(thm)],[199,156,theory(equality)])).
% cnf(535,plain,(m1_subset_1(X1,u1_struct_0(X2))|v3_struct_0(X2)|~r2_hidden(X1,X3)|~m2_lattice4(X3,X2)|~v10_lattices(X2)|~l3_lattices(X2)),inference(spm,[status(thm)],[159,156,theory(equality)])).
% cnf(542,plain,(v1_xboole_0(u1_struct_0(X1))|r2_hidden(k4_lattices(X1,X2,X3),u1_struct_0(X1))|v3_struct_0(X1)|~l1_lattices(X1)|~v6_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[152,162,theory(equality)])).
% cnf(550,plain,(v1_xboole_0(u1_struct_0(X1))|r2_hidden(esk5_3(X2,X1,X3),u1_struct_0(X1))|v3_struct_0(X1)|~v10_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~l3_lattices(X1)|~r2_hidden(X2,a_2_0_filter_2(X1,X3))),inference(spm,[status(thm)],[152,170,theory(equality)])).
% cnf(555,plain,(esk5_3(X1,X2,X3)=X1|v3_struct_0(X2)|~v10_lattices(X2)|~m1_subset_1(X3,u1_struct_0(X2))|~l3_lattices(X2)|~r3_lattices(X2,X1,X3)|~m1_subset_1(X1,u1_struct_0(X2))),inference(spm,[status(thm)],[169,428,theory(equality)])).
% cnf(600,plain,(r3_lattices(X1,X2,X3)|v3_struct_0(X1)|~v9_lattices(X1)|~r1_lattices(X1,X2,X3)|~v8_lattices(X1)|~v6_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~l3_lattices(X1)|~r2_hidden(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[240,134,theory(equality)])).
% cnf(637,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)|v3_struct_0(esk24_0)|~v10_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[137,503,theory(equality)])).
% cnf(638,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)|v3_struct_0(esk24_0)|$false|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[637,416,theory(equality)])).
% cnf(639,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)|v3_struct_0(esk24_0)|$false|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[638,413,theory(equality)])).
% cnf(640,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)|v3_struct_0(esk24_0)|$false|$false|$false),inference(rw,[status(thm)],[639,415,theory(equality)])).
% cnf(641,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[640,theory(equality)])).
% cnf(642,negated_conjecture,(m2_filter_2(a_2_0_filter_2(esk24_0,esk26_0),esk24_0)),inference(sr,[status(thm)],[641,417,theory(equality)])).
% cnf(644,negated_conjecture,(~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(k4_lattices(esk24_0,esk26_0,esk25_0),k18_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,k18_filter_2(esk24_0,esk25_0))),inference(rw,[status(thm)],[412,507,theory(equality)])).
% cnf(645,negated_conjecture,(~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(k4_lattices(esk24_0,esk26_0,esk25_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,k18_filter_2(esk24_0,esk25_0))),inference(rw,[status(thm)],[644,507,theory(equality)])).
% cnf(646,negated_conjecture,(~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(k4_lattices(esk24_0,esk26_0,esk25_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(rw,[status(thm)],[645,507,theory(equality)])).
% cnf(656,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~l1_lattices(esk24_0)|~v6_lattices(esk24_0)|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(spm,[status(thm)],[646,187,theory(equality)])).
% cnf(660,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|~v6_lattices(esk24_0)|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[656,430,theory(equality)])).
% cnf(661,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[660,441,theory(equality)])).
% cnf(662,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|$false|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[661,414,theory(equality)])).
% cnf(663,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[662,413,theory(equality)])).
% cnf(664,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(cn,[status(thm)],[663,theory(equality)])).
% cnf(665,negated_conjecture,(~r2_hidden(k4_lattices(esk24_0,esk25_0,esk26_0),a_2_0_filter_2(esk24_0,esk25_0))|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(sr,[status(thm)],[664,417,theory(equality)])).
% cnf(683,negated_conjecture,(v3_struct_0(esk24_0)|~v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))|~v10_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[220,642,theory(equality)])).
% cnf(684,negated_conjecture,(v3_struct_0(esk24_0)|~v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[683,416,theory(equality)])).
% cnf(685,negated_conjecture,(v3_struct_0(esk24_0)|~v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))|$false|$false),inference(rw,[status(thm)],[684,415,theory(equality)])).
% cnf(686,negated_conjecture,(v3_struct_0(esk24_0)|~v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))),inference(cn,[status(thm)],[685,theory(equality)])).
% cnf(687,negated_conjecture,(~v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))),inference(sr,[status(thm)],[686,417,theory(equality)])).
% cnf(1034,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~v10_lattices(esk24_0)|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[665,428,theory(equality)])).
% cnf(1041,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|$false|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[1034,416,theory(equality)])).
% cnf(1042,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|$false|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[1041,414,theory(equality)])).
% cnf(1043,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|$false|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))|$false|$false),inference(rw,[status(thm)],[1042,415,theory(equality)])).
% cnf(1044,negated_conjecture,(v3_struct_0(esk24_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))),inference(cn,[status(thm)],[1043,theory(equality)])).
% cnf(1045,negated_conjecture,(~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~m1_subset_1(k4_lattices(esk24_0,esk25_0,esk26_0),u1_struct_0(esk24_0))),inference(sr,[status(thm)],[1044,417,theory(equality)])).
% cnf(1243,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X2,esk6_1(X1))),inference(spm,[status(thm)],[534,177,theory(equality)])).
% cnf(1254,plain,(v3_struct_0(X1)|v1_xboole_0(esk6_1(X1))|~v1_xboole_0(u1_struct_0(X1))|~v10_lattices(X1)|~l3_lattices(X1)),inference(spm,[status(thm)],[1243,466,theory(equality)])).
% cnf(1255,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~v10_lattices(X1)|~l3_lattices(X1)),inference(csr,[status(thm)],[1254,176])).
% cnf(1314,plain,(v3_struct_0(X1)|m1_subset_1(X2,u1_struct_0(X1))|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X2,X3)|~m2_filter_2(X3,X1)),inference(spm,[status(thm)],[535,219,theory(equality)])).
% cnf(1610,plain,(v3_struct_0(X1)|r2_hidden(esk5_3(X2,X1,X3),u1_struct_0(X1))|~v10_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~l3_lattices(X1)|~r2_hidden(X2,a_2_0_filter_2(X1,X3))),inference(csr,[status(thm)],[550,1255])).
% cnf(1635,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~l1_lattices(esk24_0)|~v6_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))),inference(spm,[status(thm)],[1045,162,theory(equality)])).
% cnf(1653,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|~v6_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[1635,430,theory(equality)])).
% cnf(1654,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[1653,441,theory(equality)])).
% cnf(1655,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|$false|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[1654,413,theory(equality)])).
% cnf(1656,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[1655,414,theory(equality)])).
% cnf(1657,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(cn,[status(thm)],[1656,theory(equality)])).
% cnf(1658,negated_conjecture,(~r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,esk26_0),esk25_0)|~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(sr,[status(thm)],[1657,417,theory(equality)])).
% cnf(1725,negated_conjecture,(v3_struct_0(esk24_0)|m1_subset_1(X1,u1_struct_0(esk24_0))|~v10_lattices(esk24_0)|~l3_lattices(esk24_0)|~r2_hidden(X1,a_2_0_filter_2(esk24_0,esk26_0))),inference(spm,[status(thm)],[1314,642,theory(equality)])).
% cnf(1728,negated_conjecture,(v3_struct_0(esk24_0)|m1_subset_1(X1,u1_struct_0(esk24_0))|$false|~l3_lattices(esk24_0)|~r2_hidden(X1,a_2_0_filter_2(esk24_0,esk26_0))),inference(rw,[status(thm)],[1725,416,theory(equality)])).
% cnf(1729,negated_conjecture,(v3_struct_0(esk24_0)|m1_subset_1(X1,u1_struct_0(esk24_0))|$false|$false|~r2_hidden(X1,a_2_0_filter_2(esk24_0,esk26_0))),inference(rw,[status(thm)],[1728,415,theory(equality)])).
% cnf(1730,negated_conjecture,(v3_struct_0(esk24_0)|m1_subset_1(X1,u1_struct_0(esk24_0))|~r2_hidden(X1,a_2_0_filter_2(esk24_0,esk26_0))),inference(cn,[status(thm)],[1729,theory(equality)])).
% cnf(1731,negated_conjecture,(m1_subset_1(X1,u1_struct_0(esk24_0))|~r2_hidden(X1,a_2_0_filter_2(esk24_0,esk26_0))),inference(sr,[status(thm)],[1730,417,theory(equality)])).
% cnf(1745,negated_conjecture,(m1_subset_1(esk2_1(a_2_0_filter_2(esk24_0,esk26_0)),u1_struct_0(esk24_0))|v1_xboole_0(a_2_0_filter_2(esk24_0,esk26_0))),inference(spm,[status(thm)],[1731,466,theory(equality)])).
% cnf(1750,negated_conjecture,(m1_subset_1(esk2_1(a_2_0_filter_2(esk24_0,esk26_0)),u1_struct_0(esk24_0))),inference(sr,[status(thm)],[1745,687,theory(equality)])).
% cnf(1761,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|~v9_lattices(esk24_0)|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[232,1750,theory(equality)])).
% cnf(1787,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|$false|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[1761,449,theory(equality)])).
% cnf(1788,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|$false|$false|~v6_lattices(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[1787,445,theory(equality)])).
% cnf(1789,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|$false|$false|$false|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[1788,441,theory(equality)])).
% cnf(1790,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|$false|$false|$false|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false),inference(rw,[status(thm)],[1789,415,theory(equality)])).
% cnf(1791,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(cn,[status(thm)],[1790,theory(equality)])).
% cnf(1792,negated_conjecture,(r3_lattices(esk24_0,X1,X1)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[1791,417,theory(equality)])).
% cnf(2018,negated_conjecture,(r3_lattices(esk24_0,esk26_0,esk26_0)),inference(spm,[status(thm)],[1792,413,theory(equality)])).
% cnf(2019,negated_conjecture,(r3_lattices(esk24_0,esk25_0,esk25_0)),inference(spm,[status(thm)],[1792,414,theory(equality)])).
% cnf(2093,negated_conjecture,(esk5_3(X1,esk24_0,esk26_0)=X1|v3_struct_0(esk24_0)|~r3_lattices(esk24_0,X1,esk26_0)|~v10_lattices(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[555,413,theory(equality)])).
% cnf(2116,negated_conjecture,(esk5_3(X1,esk24_0,esk26_0)=X1|v3_struct_0(esk24_0)|~r3_lattices(esk24_0,X1,esk26_0)|$false|~m1_subset_1(X1,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[2093,416,theory(equality)])).
% cnf(2117,negated_conjecture,(esk5_3(X1,esk24_0,esk26_0)=X1|v3_struct_0(esk24_0)|~r3_lattices(esk24_0,X1,esk26_0)|$false|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false),inference(rw,[status(thm)],[2116,415,theory(equality)])).
% cnf(2118,negated_conjecture,(esk5_3(X1,esk24_0,esk26_0)=X1|v3_struct_0(esk24_0)|~r3_lattices(esk24_0,X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(cn,[status(thm)],[2117,theory(equality)])).
% cnf(2119,negated_conjecture,(esk5_3(X1,esk24_0,esk26_0)=X1|~r3_lattices(esk24_0,X1,esk26_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[2118,417,theory(equality)])).
% cnf(2469,negated_conjecture,(esk5_3(esk26_0,esk24_0,esk26_0)=esk26_0|~r3_lattices(esk24_0,esk26_0,esk26_0)),inference(spm,[status(thm)],[2119,413,theory(equality)])).
% cnf(2497,negated_conjecture,(esk5_3(esk26_0,esk24_0,esk26_0)=esk26_0|$false),inference(rw,[status(thm)],[2469,2018,theory(equality)])).
% cnf(2498,negated_conjecture,(esk5_3(esk26_0,esk24_0,esk26_0)=esk26_0),inference(cn,[status(thm)],[2497,theory(equality)])).
% cnf(2527,negated_conjecture,(v3_struct_0(esk24_0)|r2_hidden(esk26_0,u1_struct_0(esk24_0))|~v10_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(spm,[status(thm)],[1610,2498,theory(equality)])).
% cnf(2539,negated_conjecture,(v3_struct_0(esk24_0)|r2_hidden(esk26_0,u1_struct_0(esk24_0))|$false|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(rw,[status(thm)],[2527,416,theory(equality)])).
% cnf(2540,negated_conjecture,(v3_struct_0(esk24_0)|r2_hidden(esk26_0,u1_struct_0(esk24_0))|$false|$false|~l3_lattices(esk24_0)|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(rw,[status(thm)],[2539,413,theory(equality)])).
% cnf(2541,negated_conjecture,(v3_struct_0(esk24_0)|r2_hidden(esk26_0,u1_struct_0(esk24_0))|$false|$false|$false|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(rw,[status(thm)],[2540,415,theory(equality)])).
% cnf(2542,negated_conjecture,(v3_struct_0(esk24_0)|r2_hidden(esk26_0,u1_struct_0(esk24_0))|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(cn,[status(thm)],[2541,theory(equality)])).
% cnf(2543,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|~r2_hidden(esk26_0,a_2_0_filter_2(esk24_0,esk26_0))),inference(sr,[status(thm)],[2542,417,theory(equality)])).
% cnf(2549,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|~r3_lattices(esk24_0,esk26_0,esk26_0)|~v10_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[2543,428,theory(equality)])).
% cnf(2550,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|$false|~v10_lattices(esk24_0)|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[2549,2018,theory(equality)])).
% cnf(2551,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|$false|$false|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[2550,416,theory(equality)])).
% cnf(2552,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[2551,413,theory(equality)])).
% cnf(2553,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[2552,415,theory(equality)])).
% cnf(2554,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))|v3_struct_0(esk24_0)),inference(cn,[status(thm)],[2553,theory(equality)])).
% cnf(2555,negated_conjecture,(r2_hidden(esk26_0,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[2554,417,theory(equality)])).
% cnf(2556,negated_conjecture,(~v1_xboole_0(u1_struct_0(esk24_0))),inference(spm,[status(thm)],[184,2555,theory(equality)])).
% cnf(4104,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|~v9_lattices(esk24_0)|~r1_lattices(esk24_0,X1,esk25_0)|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(spm,[status(thm)],[600,414,theory(equality)])).
% cnf(4137,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|$false|~r1_lattices(esk24_0,X1,esk25_0)|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4104,449,theory(equality)])).
% cnf(4138,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|$false|~r1_lattices(esk24_0,X1,esk25_0)|$false|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4137,445,theory(equality)])).
% cnf(4139,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|$false|~r1_lattices(esk24_0,X1,esk25_0)|$false|$false|~l3_lattices(esk24_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4138,441,theory(equality)])).
% cnf(4140,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|$false|~r1_lattices(esk24_0,X1,esk25_0)|$false|$false|$false|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4139,415,theory(equality)])).
% cnf(4141,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,X1,esk25_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(cn,[status(thm)],[4140,theory(equality)])).
% cnf(4142,negated_conjecture,(r3_lattices(esk24_0,X1,esk25_0)|~r1_lattices(esk24_0,X1,esk25_0)|~r2_hidden(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[4141,417,theory(equality)])).
% cnf(4270,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|v1_xboole_0(u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|~l1_lattices(esk24_0)|~v6_lattices(esk24_0)|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(spm,[status(thm)],[4142,542,theory(equality)])).
% cnf(4289,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|v1_xboole_0(u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|$false|~v6_lattices(esk24_0)|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4270,430,theory(equality)])).
% cnf(4290,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|v1_xboole_0(u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|$false|$false|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(rw,[status(thm)],[4289,441,theory(equality)])).
% cnf(4291,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|v1_xboole_0(u1_struct_0(esk24_0))|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(cn,[status(thm)],[4290,theory(equality)])).
% cnf(4292,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|v3_struct_0(esk24_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[4291,2556,theory(equality)])).
% cnf(4293,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|~r1_lattices(esk24_0,k4_lattices(esk24_0,X1,X2),esk25_0)|~m1_subset_1(X2,u1_struct_0(esk24_0))|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[4292,417,theory(equality)])).
% cnf(19163,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[4293,181,theory(equality)])).
% cnf(19183,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false|~v8_lattices(esk24_0)|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19163,414,theory(equality)])).
% cnf(19184,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false|$false|~v6_lattices(esk24_0)|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19183,445,theory(equality)])).
% cnf(19185,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false|$false|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19184,441,theory(equality)])).
% cnf(19186,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[19185,415,theory(equality)])).
% cnf(19187,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|v3_struct_0(esk24_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(cn,[status(thm)],[19186,theory(equality)])).
% cnf(19188,negated_conjecture,(r3_lattices(esk24_0,k4_lattices(esk24_0,esk25_0,X1),esk25_0)|~m1_subset_1(X1,u1_struct_0(esk24_0))),inference(sr,[status(thm)],[19187,417,theory(equality)])).
% cnf(19205,negated_conjecture,(~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|~m1_subset_1(esk26_0,u1_struct_0(esk24_0))),inference(spm,[status(thm)],[1658,19188,theory(equality)])).
% cnf(19210,negated_conjecture,(~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))|$false),inference(rw,[status(thm)],[19205,413,theory(equality)])).
% cnf(19211,negated_conjecture,(~r2_hidden(esk25_0,a_2_0_filter_2(esk24_0,esk25_0))),inference(cn,[status(thm)],[19210,theory(equality)])).
% cnf(19232,negated_conjecture,(v3_struct_0(esk24_0)|~r3_lattices(esk24_0,esk25_0,esk25_0)|~v10_lattices(esk24_0)|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(spm,[status(thm)],[19211,428,theory(equality)])).
% cnf(19233,negated_conjecture,(v3_struct_0(esk24_0)|$false|~v10_lattices(esk24_0)|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19232,2019,theory(equality)])).
% cnf(19234,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|~m1_subset_1(esk25_0,u1_struct_0(esk24_0))|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19233,416,theory(equality)])).
% cnf(19235,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|~l3_lattices(esk24_0)),inference(rw,[status(thm)],[19234,414,theory(equality)])).
% cnf(19236,negated_conjecture,(v3_struct_0(esk24_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[19235,415,theory(equality)])).
% cnf(19237,negated_conjecture,(v3_struct_0(esk24_0)),inference(cn,[status(thm)],[19236,theory(equality)])).
% cnf(19238,negated_conjecture,($false),inference(sr,[status(thm)],[19237,417,theory(equality)])).
% cnf(19239,negated_conjecture,($false),19238,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1928
% # ...of these trivial : 48
% # ...subsumed : 793
% # ...remaining for further processing: 1087
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 20
% # Backward-rewritten : 25
% # Generated clauses : 10247
% # ...of the previous two non-trivial : 9564
% # Contextual simplify-reflections : 252
% # Paramodulations : 10218
% # Factorizations : 2
% # Equation resolutions : 1
% # Current number of processed clauses: 920
% # Positive orientable unit clauses: 159
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 54
% # Non-unit-clauses : 706
% # Current number of unprocessed clauses: 7751
% # ...number of literals in the above : 33158
% # Clause-clause subsumption calls (NU) : 31425
% # Rec. Clause-clause subsumption calls : 20238
% # Unit Clause-clause subsumption calls : 2275
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 499
% # Indexed BW rewrite successes : 21
% # Backwards rewriting index: 684 leaves, 1.79+/-2.054 terms/leaf
% # Paramod-from index: 297 leaves, 1.63+/-1.853 terms/leaf
% # Paramod-into index: 619 leaves, 1.69+/-1.923 terms/leaf
% # -------------------------------------------------
% # User time : 0.562 s
% # System time : 0.021 s
% # Total time : 0.583 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.94 CPU 1.04 WC
% FINAL PrfWatch: 0.94 CPU 1.04 WC
% SZS output end Solution for /tmp/SystemOnTPTP4553/LAT305+1.tptp
%
%------------------------------------------------------------------------------