TSTP Solution File: LAT339+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT339+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 11:32:15 EST 2010
% Result : Theorem 6.29s
% Output : Solution 6.29s
% 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/SystemOnTPTP8189/LAT339+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8189/LAT339+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8189/LAT339+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 8321
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.95 CPU 2.03 WC
% # Preprocessing time : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.95 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k5_lattices(k11_conlat_1(X1))=k6_conlat_1(X1)&k6_lattices(k11_conlat_1(X1))=k5_conlat_1(X1))),file('/tmp/SRASS.s.p', t1_conlat_2)).
% fof(3, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))=>k12_conlat_1(X1,X2)=X2)),file('/tmp/SRASS.s.p', d24_conlat_1)).
% fof(4, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))=>k2_conlat_2(X1,X2)=k16_lattice3(k11_conlat_1(X1),X2))),file('/tmp/SRASS.s.p', d2_conlat_2)).
% fof(5, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))=>k3_conlat_2(X1,X2)=k15_lattice3(k11_conlat_1(X1),X2))),file('/tmp/SRASS.s.p', d3_conlat_2)).
% fof(8, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&l3_lattices(k11_conlat_1(X1)))),file('/tmp/SRASS.s.p', dt_k11_conlat_1)).
% fof(10, axiom,?[X1]:l3_lattices(X1),file('/tmp/SRASS.s.p', existence_l3_lattices)).
% fof(11, axiom,![X1]:?[X2]:m1_subset_1(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(16, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(((~(v7_conlat_1(X2,X1))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>(r2_conlat_1(X1,X2,k5_conlat_1(X1))&r2_conlat_1(X1,k6_conlat_1(X1),X2)))),file('/tmp/SRASS.s.p', t34_conlat_1)).
% fof(18, axiom,![X1]:![X2]:(![X3]:(r2_hidden(X3,X1)<=>r2_hidden(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(23, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((v6_conlat_1(k5_conlat_1(X1),X1)&~(v7_conlat_1(k5_conlat_1(X1),X1)))&v9_conlat_1(k5_conlat_1(X1),X1))&v10_conlat_1(k5_conlat_1(X1),X1))&l3_conlat_1(k5_conlat_1(X1),X1))),file('/tmp/SRASS.s.p', dt_k5_conlat_1)).
% fof(25, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))=>(r3_lattices(k11_conlat_1(X1),X2,X3)<=>r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)))))),file('/tmp/SRASS.s.p', t47_conlat_1)).
% fof(26, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:((((v6_conlat_1(X2,X1)&~(v7_conlat_1(X2,X1)))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>k1_conlat_2(X1,X2)=X2)),file('/tmp/SRASS.s.p', d1_conlat_2)).
% fof(31, axiom,![X1]:(~(v1_xboole_0(X1))=>?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),file('/tmp/SRASS.s.p', rc1_subset_1)).
% fof(32, axiom,![X1]:?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&v1_xboole_0(X2)),file('/tmp/SRASS.s.p', rc2_subset_1)).
% fof(34, axiom,![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0),file('/tmp/SRASS.s.p', t6_boole)).
% fof(37, 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(42, axiom,![X1]:![X2]:(((~(v3_conlat_1(X1))&l2_conlat_1(X1))&m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))))=>(((v6_conlat_1(k12_conlat_1(X1,X2),X1)&~(v7_conlat_1(k12_conlat_1(X1,X2),X1)))&v9_conlat_1(k12_conlat_1(X1,X2),X1))&l3_conlat_1(k12_conlat_1(X1,X2),X1))),file('/tmp/SRASS.s.p', dt_k12_conlat_1)).
% fof(44, axiom,![X1]:![X2]:(r2_hidden(X1,X2)=>m1_subset_1(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(46, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(47, axiom,![X1]:![X2]:((((((~(v3_conlat_1(X1))&l2_conlat_1(X1))&v6_conlat_1(X2,X1))&~(v7_conlat_1(X2,X1)))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))),file('/tmp/SRASS.s.p', dt_k1_conlat_2)).
% fof(51, axiom,![X1]:~(v1_xboole_0(k1_zfmisc_1(X1))),file('/tmp/SRASS.s.p', fc1_subset_1)).
% fof(53, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((((((((((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&v4_lattices(k11_conlat_1(X1)))&v5_lattices(k11_conlat_1(X1)))&v6_lattices(k11_conlat_1(X1)))&v7_lattices(k11_conlat_1(X1)))&v8_lattices(k11_conlat_1(X1)))&v9_lattices(k11_conlat_1(X1)))&v10_lattices(k11_conlat_1(X1)))&v13_lattices(k11_conlat_1(X1)))&v14_lattices(k11_conlat_1(X1)))&v15_lattices(k11_conlat_1(X1)))&v4_lattice3(k11_conlat_1(X1)))),file('/tmp/SRASS.s.p', fc1_conlat_2)).
% fof(61, axiom,v1_xboole_0(k1_xboole_0),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(62, axiom,?[X1]:((((((((((((l3_lattices(X1)&~(v3_struct_0(X1)))&v3_lattices(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))&v13_lattices(X1))&v14_lattices(X1))&v15_lattices(X1)),file('/tmp/SRASS.s.p', rc11_lattices)).
% fof(65, 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(67, axiom,?[X1]:(l1_struct_0(X1)&~(v3_struct_0(X1))),file('/tmp/SRASS.s.p', rc3_struct_0)).
% fof(68, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(74, axiom,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(X2=k16_lattice3(X1,X3)<=>(r3_lattice3(X1,X2,X3)&![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r3_lattice3(X1,X4,X3)=>r3_lattices(X1,X4,X2))))))),file('/tmp/SRASS.s.p', t34_lattice3)).
% fof(80, axiom,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>((((~(v3_struct_0(X1))&v10_lattices(X1))&v13_lattices(X1))&l3_lattices(X1))&k5_lattices(X1)=k15_lattice3(X1,k1_xboole_0))),file('/tmp/SRASS.s.p', t50_lattice3)).
% fof(81, axiom,![X1]:((~(v3_struct_0(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(r3_lattice3(X1,X2,X3)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_hidden(X4,X3)=>r1_lattices(X1,X2,X4)))))),file('/tmp/SRASS.s.p', d16_lattice3)).
% fof(82, axiom,![X1]:(l1_lattices(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_lattices)).
% fof(92, axiom,![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(96, axiom,![X1]:(l1_struct_0(X1)=>(((((v1_xboole_0(k1_pre_topc(X1))&v1_membered(k1_pre_topc(X1)))&v2_membered(k1_pre_topc(X1)))&v3_membered(k1_pre_topc(X1)))&v4_membered(k1_pre_topc(X1)))&v5_membered(k1_pre_topc(X1)))),file('/tmp/SRASS.s.p', fc1_pre_topc)).
% fof(120, conjecture,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k6_conlat_1(X1)&k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k5_conlat_1(X1))),file('/tmp/SRASS.s.p', t5_conlat_2)).
% fof(121, negated_conjecture,~(![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k6_conlat_1(X1)&k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k5_conlat_1(X1)))),inference(assume_negation,[status(cth)],[120])).
% fof(122, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k5_lattices(k11_conlat_1(X1))=k6_conlat_1(X1)&k6_lattices(k11_conlat_1(X1))=k5_conlat_1(X1))),inference(fof_simplification,[status(thm)],[2,theory(equality)])).
% fof(123, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))=>k12_conlat_1(X1,X2)=X2)),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(124, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))=>k2_conlat_2(X1,X2)=k16_lattice3(k11_conlat_1(X1),X2))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(125, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))=>k3_conlat_2(X1,X2)=k15_lattice3(k11_conlat_1(X1),X2))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(127, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&l3_lattices(k11_conlat_1(X1)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(130, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(((~(v7_conlat_1(X2,X1))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>(r2_conlat_1(X1,X2,k5_conlat_1(X1))&r2_conlat_1(X1,k6_conlat_1(X1),X2)))),inference(fof_simplification,[status(thm)],[16,theory(equality)])).
% fof(135, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((v6_conlat_1(k5_conlat_1(X1),X1)&~(v7_conlat_1(k5_conlat_1(X1),X1)))&v9_conlat_1(k5_conlat_1(X1),X1))&v10_conlat_1(k5_conlat_1(X1),X1))&l3_conlat_1(k5_conlat_1(X1),X1))),inference(fof_simplification,[status(thm)],[23,theory(equality)])).
% fof(137, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))=>(r3_lattices(k11_conlat_1(X1),X2,X3)<=>r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)))))),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% fof(138, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>![X2]:((((v6_conlat_1(X2,X1)&~(v7_conlat_1(X2,X1)))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>k1_conlat_2(X1,X2)=X2)),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(141, plain,![X1]:(~(v1_xboole_0(X1))=>?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),inference(fof_simplification,[status(thm)],[31,theory(equality)])).
% fof(147, plain,![X1]:![X2]:(((~(v3_conlat_1(X1))&l2_conlat_1(X1))&m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))))=>(((v6_conlat_1(k12_conlat_1(X1,X2),X1)&~(v7_conlat_1(k12_conlat_1(X1,X2),X1)))&v9_conlat_1(k12_conlat_1(X1,X2),X1))&l3_conlat_1(k12_conlat_1(X1,X2),X1))),inference(fof_simplification,[status(thm)],[42,theory(equality)])).
% fof(149, plain,![X1]:![X2]:((((((~(v3_conlat_1(X1))&l2_conlat_1(X1))&v6_conlat_1(X2,X1))&~(v7_conlat_1(X2,X1)))&v9_conlat_1(X2,X1))&l3_conlat_1(X2,X1))=>m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))),inference(fof_simplification,[status(thm)],[47,theory(equality)])).
% fof(150, plain,![X1]:~(v1_xboole_0(k1_zfmisc_1(X1))),inference(fof_simplification,[status(thm)],[51,theory(equality)])).
% fof(151, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((((((((((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&v4_lattices(k11_conlat_1(X1)))&v5_lattices(k11_conlat_1(X1)))&v6_lattices(k11_conlat_1(X1)))&v7_lattices(k11_conlat_1(X1)))&v8_lattices(k11_conlat_1(X1)))&v9_lattices(k11_conlat_1(X1)))&v10_lattices(k11_conlat_1(X1)))&v13_lattices(k11_conlat_1(X1)))&v14_lattices(k11_conlat_1(X1)))&v15_lattices(k11_conlat_1(X1)))&v4_lattice3(k11_conlat_1(X1)))),inference(fof_simplification,[status(thm)],[53,theory(equality)])).
% fof(154, plain,?[X1]:((((((((((((l3_lattices(X1)&~(v3_struct_0(X1)))&v3_lattices(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))&v13_lattices(X1))&v14_lattices(X1))&v15_lattices(X1)),inference(fof_simplification,[status(thm)],[62,theory(equality)])).
% fof(157, plain,?[X1]:(l1_struct_0(X1)&~(v3_struct_0(X1))),inference(fof_simplification,[status(thm)],[67,theory(equality)])).
% fof(160, plain,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(X2=k16_lattice3(X1,X3)<=>(r3_lattice3(X1,X2,X3)&![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r3_lattice3(X1,X4,X3)=>r3_lattices(X1,X4,X2))))))),inference(fof_simplification,[status(thm)],[74,theory(equality)])).
% fof(166, plain,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>((((~(v3_struct_0(X1))&v10_lattices(X1))&v13_lattices(X1))&l3_lattices(X1))&k5_lattices(X1)=k15_lattice3(X1,k1_xboole_0))),inference(fof_simplification,[status(thm)],[80,theory(equality)])).
% fof(167, plain,![X1]:((~(v3_struct_0(X1))&l3_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(r3_lattice3(X1,X2,X3)<=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>(r2_hidden(X4,X3)=>r1_lattices(X1,X2,X4)))))),inference(fof_simplification,[status(thm)],[81,theory(equality)])).
% fof(182, negated_conjecture,~(![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k6_conlat_1(X1)&k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k5_conlat_1(X1)))),inference(fof_simplification,[status(thm)],[121,theory(equality)])).
% fof(186, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|(k5_lattices(k11_conlat_1(X1))=k6_conlat_1(X1)&k6_lattices(k11_conlat_1(X1))=k5_conlat_1(X1))),inference(fof_nnf,[status(thm)],[122])).
% fof(187, plain,![X2]:((v3_conlat_1(X2)|~(l2_conlat_1(X2)))|(k5_lattices(k11_conlat_1(X2))=k6_conlat_1(X2)&k6_lattices(k11_conlat_1(X2))=k5_conlat_1(X2))),inference(variable_rename,[status(thm)],[186])).
% fof(188, plain,![X2]:((k5_lattices(k11_conlat_1(X2))=k6_conlat_1(X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))&(k6_lattices(k11_conlat_1(X2))=k5_conlat_1(X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))),inference(distribute,[status(thm)],[187])).
% cnf(190,plain,(v3_conlat_1(X1)|k5_lattices(k11_conlat_1(X1))=k6_conlat_1(X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[188])).
% fof(191, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))))|k12_conlat_1(X1,X2)=X2)),inference(fof_nnf,[status(thm)],[123])).
% fof(192, plain,![X3]:((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|![X4]:(~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))))|k12_conlat_1(X3,X4)=X4)),inference(variable_rename,[status(thm)],[191])).
% fof(193, plain,![X3]:![X4]:((~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))))|k12_conlat_1(X3,X4)=X4)|(v3_conlat_1(X3)|~(l2_conlat_1(X3)))),inference(shift_quantors,[status(thm)],[192])).
% cnf(194,plain,(v3_conlat_1(X1)|k12_conlat_1(X1,X2)=X2|~l2_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))),inference(split_conjunct,[status(thm)],[193])).
% fof(195, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:(~(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))))|k2_conlat_2(X1,X2)=k16_lattice3(k11_conlat_1(X1),X2))),inference(fof_nnf,[status(thm)],[124])).
% fof(196, plain,![X3]:((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|![X4]:(~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3)))))|k2_conlat_2(X3,X4)=k16_lattice3(k11_conlat_1(X3),X4))),inference(variable_rename,[status(thm)],[195])).
% fof(197, plain,![X3]:![X4]:((~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3)))))|k2_conlat_2(X3,X4)=k16_lattice3(k11_conlat_1(X3),X4))|(v3_conlat_1(X3)|~(l2_conlat_1(X3)))),inference(shift_quantors,[status(thm)],[196])).
% cnf(198,plain,(v3_conlat_1(X1)|k2_conlat_2(X1,X2)=k16_lattice3(k11_conlat_1(X1),X2)|~l2_conlat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))),inference(split_conjunct,[status(thm)],[197])).
% fof(199, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:(~(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))))|k3_conlat_2(X1,X2)=k15_lattice3(k11_conlat_1(X1),X2))),inference(fof_nnf,[status(thm)],[125])).
% fof(200, plain,![X3]:((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|![X4]:(~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3)))))|k3_conlat_2(X3,X4)=k15_lattice3(k11_conlat_1(X3),X4))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X3]:![X4]:((~(m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3)))))|k3_conlat_2(X3,X4)=k15_lattice3(k11_conlat_1(X3),X4))|(v3_conlat_1(X3)|~(l2_conlat_1(X3)))),inference(shift_quantors,[status(thm)],[200])).
% cnf(202,plain,(v3_conlat_1(X1)|k3_conlat_2(X1,X2)=k15_lattice3(k11_conlat_1(X1),X2)|~l2_conlat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))),inference(split_conjunct,[status(thm)],[201])).
% fof(209, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&l3_lattices(k11_conlat_1(X1)))),inference(fof_nnf,[status(thm)],[127])).
% fof(210, plain,![X2]:((v3_conlat_1(X2)|~(l2_conlat_1(X2)))|((~(v3_struct_0(k11_conlat_1(X2)))&v3_lattices(k11_conlat_1(X2)))&l3_lattices(k11_conlat_1(X2)))),inference(variable_rename,[status(thm)],[209])).
% fof(211, plain,![X2]:(((~(v3_struct_0(k11_conlat_1(X2)))|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))&(v3_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(l3_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))),inference(distribute,[status(thm)],[210])).
% cnf(212,plain,(v3_conlat_1(X1)|l3_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[211])).
% cnf(214,plain,(v3_conlat_1(X1)|~l2_conlat_1(X1)|~v3_struct_0(k11_conlat_1(X1))),inference(split_conjunct,[status(thm)],[211])).
% fof(218, plain,?[X2]:l3_lattices(X2),inference(variable_rename,[status(thm)],[10])).
% fof(219, plain,l3_lattices(esk3_0),inference(skolemize,[status(esa)],[218])).
% cnf(220,plain,(l3_lattices(esk3_0)),inference(split_conjunct,[status(thm)],[219])).
% fof(221, plain,![X3]:?[X4]:m1_subset_1(X4,X3),inference(variable_rename,[status(thm)],[11])).
% fof(222, plain,![X3]:m1_subset_1(esk4_1(X3),X3),inference(skolemize,[status(esa)],[221])).
% cnf(223,plain,(m1_subset_1(esk4_1(X1),X1)),inference(split_conjunct,[status(thm)],[222])).
% fof(239, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:(((v7_conlat_1(X2,X1)|~(v9_conlat_1(X2,X1)))|~(l3_conlat_1(X2,X1)))|(r2_conlat_1(X1,X2,k5_conlat_1(X1))&r2_conlat_1(X1,k6_conlat_1(X1),X2)))),inference(fof_nnf,[status(thm)],[130])).
% fof(240, plain,![X3]:((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|![X4]:(((v7_conlat_1(X4,X3)|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3)))|(r2_conlat_1(X3,X4,k5_conlat_1(X3))&r2_conlat_1(X3,k6_conlat_1(X3),X4)))),inference(variable_rename,[status(thm)],[239])).
% fof(241, plain,![X3]:![X4]:((((v7_conlat_1(X4,X3)|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3)))|(r2_conlat_1(X3,X4,k5_conlat_1(X3))&r2_conlat_1(X3,k6_conlat_1(X3),X4)))|(v3_conlat_1(X3)|~(l2_conlat_1(X3)))),inference(shift_quantors,[status(thm)],[240])).
% fof(242, plain,![X3]:![X4]:(((r2_conlat_1(X3,X4,k5_conlat_1(X3))|((v7_conlat_1(X4,X3)|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3))))|(v3_conlat_1(X3)|~(l2_conlat_1(X3))))&((r2_conlat_1(X3,k6_conlat_1(X3),X4)|((v7_conlat_1(X4,X3)|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3))))|(v3_conlat_1(X3)|~(l2_conlat_1(X3))))),inference(distribute,[status(thm)],[241])).
% cnf(244,plain,(v3_conlat_1(X1)|v7_conlat_1(X2,X1)|r2_conlat_1(X1,X2,k5_conlat_1(X1))|~l2_conlat_1(X1)|~l3_conlat_1(X2,X1)|~v9_conlat_1(X2,X1)),inference(split_conjunct,[status(thm)],[242])).
% fof(248, plain,![X1]:![X2]:(?[X3]:((~(r2_hidden(X3,X1))|~(r2_hidden(X3,X2)))&(r2_hidden(X3,X1)|r2_hidden(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[18])).
% fof(249, plain,![X4]:![X5]:(?[X6]:((~(r2_hidden(X6,X4))|~(r2_hidden(X6,X5)))&(r2_hidden(X6,X4)|r2_hidden(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[248])).
% fof(250, plain,![X4]:![X5]:(((~(r2_hidden(esk9_2(X4,X5),X4))|~(r2_hidden(esk9_2(X4,X5),X5)))&(r2_hidden(esk9_2(X4,X5),X4)|r2_hidden(esk9_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[249])).
% fof(251, plain,![X4]:![X5]:(((~(r2_hidden(esk9_2(X4,X5),X4))|~(r2_hidden(esk9_2(X4,X5),X5)))|X4=X5)&((r2_hidden(esk9_2(X4,X5),X4)|r2_hidden(esk9_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[250])).
% cnf(252,plain,(X1=X2|r2_hidden(esk9_2(X1,X2),X2)|r2_hidden(esk9_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[251])).
% fof(281, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|((((v6_conlat_1(k5_conlat_1(X1),X1)&~(v7_conlat_1(k5_conlat_1(X1),X1)))&v9_conlat_1(k5_conlat_1(X1),X1))&v10_conlat_1(k5_conlat_1(X1),X1))&l3_conlat_1(k5_conlat_1(X1),X1))),inference(fof_nnf,[status(thm)],[135])).
% fof(282, plain,![X2]:((v3_conlat_1(X2)|~(l2_conlat_1(X2)))|((((v6_conlat_1(k5_conlat_1(X2),X2)&~(v7_conlat_1(k5_conlat_1(X2),X2)))&v9_conlat_1(k5_conlat_1(X2),X2))&v10_conlat_1(k5_conlat_1(X2),X2))&l3_conlat_1(k5_conlat_1(X2),X2))),inference(variable_rename,[status(thm)],[281])).
% fof(283, plain,![X2]:(((((v6_conlat_1(k5_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))&(~(v7_conlat_1(k5_conlat_1(X2),X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v9_conlat_1(k5_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v10_conlat_1(k5_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(l3_conlat_1(k5_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))),inference(distribute,[status(thm)],[282])).
% cnf(284,plain,(v3_conlat_1(X1)|l3_conlat_1(k5_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[283])).
% cnf(286,plain,(v3_conlat_1(X1)|v9_conlat_1(k5_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[283])).
% cnf(287,plain,(v3_conlat_1(X1)|~l2_conlat_1(X1)|~v7_conlat_1(k5_conlat_1(X1),X1)),inference(split_conjunct,[status(thm)],[283])).
% cnf(288,plain,(v3_conlat_1(X1)|v6_conlat_1(k5_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[283])).
% fof(297, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))))|![X3]:(~(m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1))))|((~(r3_lattices(k11_conlat_1(X1),X2,X3))|r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)))&(~(r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)))|r3_lattices(k11_conlat_1(X1),X2,X3)))))),inference(fof_nnf,[status(thm)],[137])).
% fof(298, plain,![X4]:((v3_conlat_1(X4)|~(l2_conlat_1(X4)))|![X5]:(~(m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4))))|![X6]:(~(m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4))))|((~(r3_lattices(k11_conlat_1(X4),X5,X6))|r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))&(~(r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))|r3_lattices(k11_conlat_1(X4),X5,X6)))))),inference(variable_rename,[status(thm)],[297])).
% fof(299, plain,![X4]:![X5]:![X6]:(((~(m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4))))|((~(r3_lattices(k11_conlat_1(X4),X5,X6))|r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))&(~(r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))|r3_lattices(k11_conlat_1(X4),X5,X6))))|~(m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4)))))|(v3_conlat_1(X4)|~(l2_conlat_1(X4)))),inference(shift_quantors,[status(thm)],[298])).
% fof(300, plain,![X4]:![X5]:![X6]:(((((~(r3_lattices(k11_conlat_1(X4),X5,X6))|r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))|~(m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4)))))|~(m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4)))))|(v3_conlat_1(X4)|~(l2_conlat_1(X4))))&((((~(r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6)))|r3_lattices(k11_conlat_1(X4),X5,X6))|~(m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4)))))|~(m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4)))))|(v3_conlat_1(X4)|~(l2_conlat_1(X4))))),inference(distribute,[status(thm)],[299])).
% cnf(301,plain,(v3_conlat_1(X1)|r3_lattices(k11_conlat_1(X1),X2,X3)|~l2_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3))),inference(split_conjunct,[status(thm)],[300])).
% cnf(302,plain,(v3_conlat_1(X1)|r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3))|~l2_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~r3_lattices(k11_conlat_1(X1),X2,X3)),inference(split_conjunct,[status(thm)],[300])).
% fof(303, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|![X2]:((((~(v6_conlat_1(X2,X1))|v7_conlat_1(X2,X1))|~(v9_conlat_1(X2,X1)))|~(l3_conlat_1(X2,X1)))|k1_conlat_2(X1,X2)=X2)),inference(fof_nnf,[status(thm)],[138])).
% fof(304, plain,![X3]:((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|![X4]:((((~(v6_conlat_1(X4,X3))|v7_conlat_1(X4,X3))|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3)))|k1_conlat_2(X3,X4)=X4)),inference(variable_rename,[status(thm)],[303])).
% fof(305, plain,![X3]:![X4]:(((((~(v6_conlat_1(X4,X3))|v7_conlat_1(X4,X3))|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3)))|k1_conlat_2(X3,X4)=X4)|(v3_conlat_1(X3)|~(l2_conlat_1(X3)))),inference(shift_quantors,[status(thm)],[304])).
% cnf(306,plain,(v3_conlat_1(X1)|k1_conlat_2(X1,X2)=X2|v7_conlat_1(X2,X1)|~l2_conlat_1(X1)|~l3_conlat_1(X2,X1)|~v9_conlat_1(X2,X1)|~v6_conlat_1(X2,X1)),inference(split_conjunct,[status(thm)],[305])).
% fof(331, plain,![X1]:(v1_xboole_0(X1)|?[X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))&~(v1_xboole_0(X2)))),inference(fof_nnf,[status(thm)],[141])).
% fof(332, plain,![X3]:(v1_xboole_0(X3)|?[X4]:(m1_subset_1(X4,k1_zfmisc_1(X3))&~(v1_xboole_0(X4)))),inference(variable_rename,[status(thm)],[331])).
% fof(333, plain,![X3]:(v1_xboole_0(X3)|(m1_subset_1(esk16_1(X3),k1_zfmisc_1(X3))&~(v1_xboole_0(esk16_1(X3))))),inference(skolemize,[status(esa)],[332])).
% fof(334, plain,![X3]:((m1_subset_1(esk16_1(X3),k1_zfmisc_1(X3))|v1_xboole_0(X3))&(~(v1_xboole_0(esk16_1(X3)))|v1_xboole_0(X3))),inference(distribute,[status(thm)],[333])).
% cnf(335,plain,(v1_xboole_0(X1)|~v1_xboole_0(esk16_1(X1))),inference(split_conjunct,[status(thm)],[334])).
% cnf(336,plain,(v1_xboole_0(X1)|m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[334])).
% fof(337, plain,![X3]:?[X4]:(m1_subset_1(X4,k1_zfmisc_1(X3))&v1_xboole_0(X4)),inference(variable_rename,[status(thm)],[32])).
% fof(338, plain,![X3]:(m1_subset_1(esk17_1(X3),k1_zfmisc_1(X3))&v1_xboole_0(esk17_1(X3))),inference(skolemize,[status(esa)],[337])).
% cnf(339,plain,(v1_xboole_0(esk17_1(X1))),inference(split_conjunct,[status(thm)],[338])).
% cnf(340,plain,(m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[338])).
% fof(343, plain,![X1]:(~(v1_xboole_0(X1))|X1=k1_xboole_0),inference(fof_nnf,[status(thm)],[34])).
% fof(344, plain,![X2]:(~(v1_xboole_0(X2))|X2=k1_xboole_0),inference(variable_rename,[status(thm)],[343])).
% cnf(345,plain,(X1=k1_xboole_0|~v1_xboole_0(X1)),inference(split_conjunct,[status(thm)],[344])).
% fof(352, 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)],[37])).
% fof(353, 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)],[352])).
% cnf(354,plain,(m1_subset_1(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(X2))|~r2_hidden(X1,X3)),inference(split_conjunct,[status(thm)],[353])).
% fof(386, plain,![X1]:![X2]:(((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|~(m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))))|(((v6_conlat_1(k12_conlat_1(X1,X2),X1)&~(v7_conlat_1(k12_conlat_1(X1,X2),X1)))&v9_conlat_1(k12_conlat_1(X1,X2),X1))&l3_conlat_1(k12_conlat_1(X1,X2),X1))),inference(fof_nnf,[status(thm)],[147])).
% fof(387, plain,![X3]:![X4]:(((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3)))))|(((v6_conlat_1(k12_conlat_1(X3,X4),X3)&~(v7_conlat_1(k12_conlat_1(X3,X4),X3)))&v9_conlat_1(k12_conlat_1(X3,X4),X3))&l3_conlat_1(k12_conlat_1(X3,X4),X3))),inference(variable_rename,[status(thm)],[386])).
% fof(388, plain,![X3]:![X4]:((((v6_conlat_1(k12_conlat_1(X3,X4),X3)|((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))))))&(~(v7_conlat_1(k12_conlat_1(X3,X4),X3))|((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3)))))))&(v9_conlat_1(k12_conlat_1(X3,X4),X3)|((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3)))))))&(l3_conlat_1(k12_conlat_1(X3,X4),X3)|((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))))))),inference(distribute,[status(thm)],[387])).
% cnf(389,plain,(v3_conlat_1(X2)|l3_conlat_1(k12_conlat_1(X2,X1),X2)|~m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))|~l2_conlat_1(X2)),inference(split_conjunct,[status(thm)],[388])).
% cnf(390,plain,(v3_conlat_1(X2)|v9_conlat_1(k12_conlat_1(X2,X1),X2)|~m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))|~l2_conlat_1(X2)),inference(split_conjunct,[status(thm)],[388])).
% cnf(391,plain,(v3_conlat_1(X2)|~m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))|~l2_conlat_1(X2)|~v7_conlat_1(k12_conlat_1(X2,X1),X2)),inference(split_conjunct,[status(thm)],[388])).
% fof(400, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|m1_subset_1(X1,X2)),inference(fof_nnf,[status(thm)],[44])).
% fof(401, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|m1_subset_1(X3,X4)),inference(variable_rename,[status(thm)],[400])).
% cnf(402,plain,(m1_subset_1(X1,X2)|~r2_hidden(X1,X2)),inference(split_conjunct,[status(thm)],[401])).
% fof(406, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[46])).
% fof(407, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[406])).
% cnf(408,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[407])).
% fof(409, plain,![X1]:![X2]:((((((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|~(v6_conlat_1(X2,X1)))|v7_conlat_1(X2,X1))|~(v9_conlat_1(X2,X1)))|~(l3_conlat_1(X2,X1)))|m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))),inference(fof_nnf,[status(thm)],[149])).
% fof(410, plain,![X3]:![X4]:((((((v3_conlat_1(X3)|~(l2_conlat_1(X3)))|~(v6_conlat_1(X4,X3)))|v7_conlat_1(X4,X3))|~(v9_conlat_1(X4,X3)))|~(l3_conlat_1(X4,X3)))|m1_subset_1(k1_conlat_2(X3,X4),u1_struct_0(k11_conlat_1(X3)))),inference(variable_rename,[status(thm)],[409])).
% cnf(411,plain,(m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))|v7_conlat_1(X2,X1)|v3_conlat_1(X1)|~l3_conlat_1(X2,X1)|~v9_conlat_1(X2,X1)|~v6_conlat_1(X2,X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[410])).
% fof(421, plain,![X2]:~(v1_xboole_0(k1_zfmisc_1(X2))),inference(variable_rename,[status(thm)],[150])).
% cnf(422,plain,(~v1_xboole_0(k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[421])).
% fof(427, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|((((((((((((~(v3_struct_0(k11_conlat_1(X1)))&v3_lattices(k11_conlat_1(X1)))&v4_lattices(k11_conlat_1(X1)))&v5_lattices(k11_conlat_1(X1)))&v6_lattices(k11_conlat_1(X1)))&v7_lattices(k11_conlat_1(X1)))&v8_lattices(k11_conlat_1(X1)))&v9_lattices(k11_conlat_1(X1)))&v10_lattices(k11_conlat_1(X1)))&v13_lattices(k11_conlat_1(X1)))&v14_lattices(k11_conlat_1(X1)))&v15_lattices(k11_conlat_1(X1)))&v4_lattice3(k11_conlat_1(X1)))),inference(fof_nnf,[status(thm)],[151])).
% fof(428, plain,![X2]:((v3_conlat_1(X2)|~(l2_conlat_1(X2)))|((((((((((((~(v3_struct_0(k11_conlat_1(X2)))&v3_lattices(k11_conlat_1(X2)))&v4_lattices(k11_conlat_1(X2)))&v5_lattices(k11_conlat_1(X2)))&v6_lattices(k11_conlat_1(X2)))&v7_lattices(k11_conlat_1(X2)))&v8_lattices(k11_conlat_1(X2)))&v9_lattices(k11_conlat_1(X2)))&v10_lattices(k11_conlat_1(X2)))&v13_lattices(k11_conlat_1(X2)))&v14_lattices(k11_conlat_1(X2)))&v15_lattices(k11_conlat_1(X2)))&v4_lattice3(k11_conlat_1(X2)))),inference(variable_rename,[status(thm)],[427])).
% fof(429, plain,![X2]:(((((((((((((~(v3_struct_0(k11_conlat_1(X2)))|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))&(v3_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v4_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v5_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v6_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v7_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v8_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v9_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v10_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v13_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v14_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v15_lattices(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v4_lattice3(k11_conlat_1(X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))),inference(distribute,[status(thm)],[428])).
% cnf(430,plain,(v3_conlat_1(X1)|v4_lattice3(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[429])).
% cnf(434,plain,(v3_conlat_1(X1)|v10_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[429])).
% cnf(468,plain,(v1_xboole_0(k1_xboole_0)),inference(split_conjunct,[status(thm)],[61])).
% fof(469, plain,?[X2]:((((((((((((l3_lattices(X2)&~(v3_struct_0(X2)))&v3_lattices(X2))&v4_lattices(X2))&v5_lattices(X2))&v6_lattices(X2))&v7_lattices(X2))&v8_lattices(X2))&v9_lattices(X2))&v10_lattices(X2))&v13_lattices(X2))&v14_lattices(X2))&v15_lattices(X2)),inference(variable_rename,[status(thm)],[154])).
% fof(470, plain,((((((((((((l3_lattices(esk25_0)&~(v3_struct_0(esk25_0)))&v3_lattices(esk25_0))&v4_lattices(esk25_0))&v5_lattices(esk25_0))&v6_lattices(esk25_0))&v7_lattices(esk25_0))&v8_lattices(esk25_0))&v9_lattices(esk25_0))&v10_lattices(esk25_0))&v13_lattices(esk25_0))&v14_lattices(esk25_0))&v15_lattices(esk25_0)),inference(skolemize,[status(esa)],[469])).
% cnf(483,plain,(l3_lattices(esk25_0)),inference(split_conjunct,[status(thm)],[470])).
% fof(496, 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)],[65])).
% fof(497, 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)],[496])).
% cnf(498,plain,(~v1_xboole_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))|~r2_hidden(X3,X2)),inference(split_conjunct,[status(thm)],[497])).
% fof(505, plain,?[X2]:(l1_struct_0(X2)&~(v3_struct_0(X2))),inference(variable_rename,[status(thm)],[157])).
% fof(506, plain,(l1_struct_0(esk29_0)&~(v3_struct_0(esk29_0))),inference(skolemize,[status(esa)],[505])).
% cnf(508,plain,(l1_struct_0(esk29_0)),inference(split_conjunct,[status(thm)],[506])).
% fof(509, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[68])).
% fof(510, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[509])).
% cnf(511,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[510])).
% fof(547, plain,![X1]:((((v3_struct_0(X1)|~(v10_lattices(X1)))|~(v4_lattice3(X1)))|~(l3_lattices(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|![X3]:((~(X2=k16_lattice3(X1,X3))|(r3_lattice3(X1,X2,X3)&![X4]:(~(m1_subset_1(X4,u1_struct_0(X1)))|(~(r3_lattice3(X1,X4,X3))|r3_lattices(X1,X4,X2)))))&((~(r3_lattice3(X1,X2,X3))|?[X4]:(m1_subset_1(X4,u1_struct_0(X1))&(r3_lattice3(X1,X4,X3)&~(r3_lattices(X1,X4,X2)))))|X2=k16_lattice3(X1,X3))))),inference(fof_nnf,[status(thm)],[160])).
% fof(548, plain,![X5]:((((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X5)))|![X7]:((~(X6=k16_lattice3(X5,X7))|(r3_lattice3(X5,X6,X7)&![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r3_lattice3(X5,X8,X7))|r3_lattices(X5,X8,X6)))))&((~(r3_lattice3(X5,X6,X7))|?[X9]:(m1_subset_1(X9,u1_struct_0(X5))&(r3_lattice3(X5,X9,X7)&~(r3_lattices(X5,X9,X6)))))|X6=k16_lattice3(X5,X7))))),inference(variable_rename,[status(thm)],[547])).
% fof(549, plain,![X5]:((((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X5)))|![X7]:((~(X6=k16_lattice3(X5,X7))|(r3_lattice3(X5,X6,X7)&![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r3_lattice3(X5,X8,X7))|r3_lattices(X5,X8,X6)))))&((~(r3_lattice3(X5,X6,X7))|(m1_subset_1(esk32_3(X5,X6,X7),u1_struct_0(X5))&(r3_lattice3(X5,esk32_3(X5,X6,X7),X7)&~(r3_lattices(X5,esk32_3(X5,X6,X7),X6)))))|X6=k16_lattice3(X5,X7))))),inference(skolemize,[status(esa)],[548])).
% fof(550, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r3_lattice3(X5,X8,X7))|r3_lattices(X5,X8,X6)))&r3_lattice3(X5,X6,X7))|~(X6=k16_lattice3(X5,X7)))&((~(r3_lattice3(X5,X6,X7))|(m1_subset_1(esk32_3(X5,X6,X7),u1_struct_0(X5))&(r3_lattice3(X5,esk32_3(X5,X6,X7),X7)&~(r3_lattices(X5,esk32_3(X5,X6,X7),X6)))))|X6=k16_lattice3(X5,X7)))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5)))),inference(shift_quantors,[status(thm)],[549])).
% fof(551, plain,![X5]:![X6]:![X7]:![X8]:((((((~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r3_lattice3(X5,X8,X7))|r3_lattices(X5,X8,X6)))|~(X6=k16_lattice3(X5,X7)))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5))))&(((r3_lattice3(X5,X6,X7)|~(X6=k16_lattice3(X5,X7)))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5)))))&(((((m1_subset_1(esk32_3(X5,X6,X7),u1_struct_0(X5))|~(r3_lattice3(X5,X6,X7)))|X6=k16_lattice3(X5,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5))))&(((((r3_lattice3(X5,esk32_3(X5,X6,X7),X7)|~(r3_lattice3(X5,X6,X7)))|X6=k16_lattice3(X5,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5))))&((((~(r3_lattices(X5,esk32_3(X5,X6,X7),X6))|~(r3_lattice3(X5,X6,X7)))|X6=k16_lattice3(X5,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(((v3_struct_0(X5)|~(v10_lattices(X5)))|~(v4_lattice3(X5)))|~(l3_lattices(X5))))))),inference(distribute,[status(thm)],[550])).
% cnf(552,plain,(v3_struct_0(X1)|X2=k16_lattice3(X1,X3)|~l3_lattices(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~r3_lattice3(X1,X2,X3)|~r3_lattices(X1,esk32_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[551])).
% cnf(554,plain,(v3_struct_0(X1)|X2=k16_lattice3(X1,X3)|m1_subset_1(esk32_3(X1,X2,X3),u1_struct_0(X1))|~l3_lattices(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~r3_lattice3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[551])).
% fof(587, plain,![X1]:((((v3_struct_0(X1)|~(v10_lattices(X1)))|~(v4_lattice3(X1)))|~(l3_lattices(X1)))|((((~(v3_struct_0(X1))&v10_lattices(X1))&v13_lattices(X1))&l3_lattices(X1))&k5_lattices(X1)=k15_lattice3(X1,k1_xboole_0))),inference(fof_nnf,[status(thm)],[166])).
% fof(588, plain,![X2]:((((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2)))|((((~(v3_struct_0(X2))&v10_lattices(X2))&v13_lattices(X2))&l3_lattices(X2))&k5_lattices(X2)=k15_lattice3(X2,k1_xboole_0))),inference(variable_rename,[status(thm)],[587])).
% fof(589, plain,![X2]:(((((~(v3_struct_0(X2))|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2))))&(v10_lattices(X2)|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2)))))&(v13_lattices(X2)|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2)))))&(l3_lattices(X2)|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2)))))&(k5_lattices(X2)=k15_lattice3(X2,k1_xboole_0)|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2))))),inference(distribute,[status(thm)],[588])).
% cnf(590,plain,(v3_struct_0(X1)|k5_lattices(X1)=k15_lattice3(X1,k1_xboole_0)|~l3_lattices(X1)|~v4_lattice3(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[589])).
% fof(595, plain,![X1]:((v3_struct_0(X1)|~(l3_lattices(X1)))|![X2]:(~(m1_subset_1(X2,u1_struct_0(X1)))|![X3]:((~(r3_lattice3(X1,X2,X3))|![X4]:(~(m1_subset_1(X4,u1_struct_0(X1)))|(~(r2_hidden(X4,X3))|r1_lattices(X1,X2,X4))))&(?[X4]:(m1_subset_1(X4,u1_struct_0(X1))&(r2_hidden(X4,X3)&~(r1_lattices(X1,X2,X4))))|r3_lattice3(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[167])).
% fof(596, plain,![X5]:((v3_struct_0(X5)|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X5)))|![X7]:((~(r3_lattice3(X5,X6,X7))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r2_hidden(X8,X7))|r1_lattices(X5,X6,X8))))&(?[X9]:(m1_subset_1(X9,u1_struct_0(X5))&(r2_hidden(X9,X7)&~(r1_lattices(X5,X6,X9))))|r3_lattice3(X5,X6,X7))))),inference(variable_rename,[status(thm)],[595])).
% fof(597, plain,![X5]:((v3_struct_0(X5)|~(l3_lattices(X5)))|![X6]:(~(m1_subset_1(X6,u1_struct_0(X5)))|![X7]:((~(r3_lattice3(X5,X6,X7))|![X8]:(~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r2_hidden(X8,X7))|r1_lattices(X5,X6,X8))))&((m1_subset_1(esk33_3(X5,X6,X7),u1_struct_0(X5))&(r2_hidden(esk33_3(X5,X6,X7),X7)&~(r1_lattices(X5,X6,esk33_3(X5,X6,X7)))))|r3_lattice3(X5,X6,X7))))),inference(skolemize,[status(esa)],[596])).
% fof(598, plain,![X5]:![X6]:![X7]:![X8]:(((((~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r2_hidden(X8,X7))|r1_lattices(X5,X6,X8)))|~(r3_lattice3(X5,X6,X7)))&((m1_subset_1(esk33_3(X5,X6,X7),u1_struct_0(X5))&(r2_hidden(esk33_3(X5,X6,X7),X7)&~(r1_lattices(X5,X6,esk33_3(X5,X6,X7)))))|r3_lattice3(X5,X6,X7)))|~(m1_subset_1(X6,u1_struct_0(X5))))|(v3_struct_0(X5)|~(l3_lattices(X5)))),inference(shift_quantors,[status(thm)],[597])).
% fof(599, plain,![X5]:![X6]:![X7]:![X8]:(((((~(m1_subset_1(X8,u1_struct_0(X5)))|(~(r2_hidden(X8,X7))|r1_lattices(X5,X6,X8)))|~(r3_lattice3(X5,X6,X7)))|~(m1_subset_1(X6,u1_struct_0(X5))))|(v3_struct_0(X5)|~(l3_lattices(X5))))&((((m1_subset_1(esk33_3(X5,X6,X7),u1_struct_0(X5))|r3_lattice3(X5,X6,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(v3_struct_0(X5)|~(l3_lattices(X5))))&((((r2_hidden(esk33_3(X5,X6,X7),X7)|r3_lattice3(X5,X6,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(v3_struct_0(X5)|~(l3_lattices(X5))))&(((~(r1_lattices(X5,X6,esk33_3(X5,X6,X7)))|r3_lattice3(X5,X6,X7))|~(m1_subset_1(X6,u1_struct_0(X5))))|(v3_struct_0(X5)|~(l3_lattices(X5))))))),inference(distribute,[status(thm)],[598])).
% cnf(601,plain,(v3_struct_0(X1)|r3_lattice3(X1,X2,X3)|r2_hidden(esk33_3(X1,X2,X3),X3)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[599])).
% fof(604, plain,![X1]:(~(l1_lattices(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[82])).
% fof(605, plain,![X2]:(~(l1_lattices(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[604])).
% cnf(606,plain,(l1_struct_0(X1)|~l1_lattices(X1)),inference(split_conjunct,[status(thm)],[605])).
% fof(648, plain,![X1]:(~(l3_lattices(X1))|(l1_lattices(X1)&l2_lattices(X1))),inference(fof_nnf,[status(thm)],[92])).
% fof(649, plain,![X2]:(~(l3_lattices(X2))|(l1_lattices(X2)&l2_lattices(X2))),inference(variable_rename,[status(thm)],[648])).
% fof(650, plain,![X2]:((l1_lattices(X2)|~(l3_lattices(X2)))&(l2_lattices(X2)|~(l3_lattices(X2)))),inference(distribute,[status(thm)],[649])).
% cnf(652,plain,(l1_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[650])).
% fof(664, plain,![X1]:(~(l1_struct_0(X1))|(((((v1_xboole_0(k1_pre_topc(X1))&v1_membered(k1_pre_topc(X1)))&v2_membered(k1_pre_topc(X1)))&v3_membered(k1_pre_topc(X1)))&v4_membered(k1_pre_topc(X1)))&v5_membered(k1_pre_topc(X1)))),inference(fof_nnf,[status(thm)],[96])).
% fof(665, plain,![X2]:(~(l1_struct_0(X2))|(((((v1_xboole_0(k1_pre_topc(X2))&v1_membered(k1_pre_topc(X2)))&v2_membered(k1_pre_topc(X2)))&v3_membered(k1_pre_topc(X2)))&v4_membered(k1_pre_topc(X2)))&v5_membered(k1_pre_topc(X2)))),inference(variable_rename,[status(thm)],[664])).
% fof(666, plain,![X2]:((((((v1_xboole_0(k1_pre_topc(X2))|~(l1_struct_0(X2)))&(v1_membered(k1_pre_topc(X2))|~(l1_struct_0(X2))))&(v2_membered(k1_pre_topc(X2))|~(l1_struct_0(X2))))&(v3_membered(k1_pre_topc(X2))|~(l1_struct_0(X2))))&(v4_membered(k1_pre_topc(X2))|~(l1_struct_0(X2))))&(v5_membered(k1_pre_topc(X2))|~(l1_struct_0(X2)))),inference(distribute,[status(thm)],[665])).
% cnf(672,plain,(v1_xboole_0(k1_pre_topc(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[666])).
% fof(763, negated_conjecture,?[X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))&(~(k3_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k6_conlat_1(X1))|~(k2_conlat_2(X1,k1_pre_topc(k11_conlat_1(X1)))=k5_conlat_1(X1)))),inference(fof_nnf,[status(thm)],[182])).
% fof(764, negated_conjecture,?[X2]:((~(v3_conlat_1(X2))&l2_conlat_1(X2))&(~(k3_conlat_2(X2,k1_pre_topc(k11_conlat_1(X2)))=k6_conlat_1(X2))|~(k2_conlat_2(X2,k1_pre_topc(k11_conlat_1(X2)))=k5_conlat_1(X2)))),inference(variable_rename,[status(thm)],[763])).
% fof(765, negated_conjecture,((~(v3_conlat_1(esk36_0))&l2_conlat_1(esk36_0))&(~(k3_conlat_2(esk36_0,k1_pre_topc(k11_conlat_1(esk36_0)))=k6_conlat_1(esk36_0))|~(k2_conlat_2(esk36_0,k1_pre_topc(k11_conlat_1(esk36_0)))=k5_conlat_1(esk36_0)))),inference(skolemize,[status(esa)],[764])).
% cnf(766,negated_conjecture,(k2_conlat_2(esk36_0,k1_pre_topc(k11_conlat_1(esk36_0)))!=k5_conlat_1(esk36_0)|k3_conlat_2(esk36_0,k1_pre_topc(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[765])).
% cnf(767,negated_conjecture,(l2_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[765])).
% cnf(768,negated_conjecture,(~v3_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[765])).
% cnf(773,plain,(k1_xboole_0=k1_pre_topc(X1)|~l1_struct_0(X1)),inference(spm,[status(thm)],[345,672,theory(equality)])).
% cnf(774,plain,(k1_xboole_0=esk17_1(X1)),inference(spm,[status(thm)],[345,339,theory(equality)])).
% cnf(789,plain,(~r2_hidden(X1,esk4_1(k1_zfmisc_1(X2)))|~v1_xboole_0(X2)),inference(spm,[status(thm)],[498,223,theory(equality)])).
% cnf(802,plain,(m1_subset_1(X1,X2)|v1_xboole_0(X2)|~r2_hidden(X1,esk16_1(X2))),inference(spm,[status(thm)],[354,336,theory(equality)])).
% cnf(839,plain,(k15_lattice3(k11_conlat_1(X1),k1_xboole_0)=k6_conlat_1(X1)|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|~l2_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))),inference(spm,[status(thm)],[190,590,theory(equality)])).
% cnf(892,plain,(X1=X2|r2_hidden(esk9_2(X1,X2),X1)|~v1_xboole_0(X2)),inference(spm,[status(thm)],[408,252,theory(equality)])).
% cnf(897,plain,(X1=X2|r2_hidden(esk9_2(X1,X2),X2)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[408,252,theory(equality)])).
% cnf(909,plain,(r3_lattices(k11_conlat_1(X1),X2,X3)|v3_conlat_1(X1)|~r2_conlat_1(X1,k12_conlat_1(X1,X2),X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[301,194,theory(equality)])).
% cnf(911,plain,(v7_conlat_1(X1,X2)|m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))|v3_conlat_1(X2)|~v6_conlat_1(X1,X2)|~l3_conlat_1(X1,X2)|~v9_conlat_1(X1,X2)|~l2_conlat_1(X2)),inference(spm,[status(thm)],[411,306,theory(equality)])).
% cnf(923,plain,(r2_conlat_1(X1,k12_conlat_1(X1,X2),X3)|v3_conlat_1(X1)|~r3_lattices(k11_conlat_1(X1),X2,X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[302,194,theory(equality)])).
% cnf(1010,plain,(m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1))),inference(rw,[status(thm)],[340,774,theory(equality)])).
% cnf(1017,plain,(~r2_hidden(X1,k1_xboole_0)|~v1_xboole_0(X2)),inference(spm,[status(thm)],[498,1010,theory(equality)])).
% fof(1094, plain,(~(epred1_0)<=>![X1]:~(r2_hidden(X1,k1_xboole_0))),introduced(definition),['split']).
% cnf(1095,plain,(epred1_0|~r2_hidden(X1,k1_xboole_0)),inference(split_equiv,[status(thm)],[1094])).
% fof(1096, plain,(~(epred2_0)<=>![X2]:~(v1_xboole_0(X2))),introduced(definition),['split']).
% cnf(1097,plain,(epred2_0|~v1_xboole_0(X2)),inference(split_equiv,[status(thm)],[1096])).
% cnf(1098,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1017,1094,theory(equality)]),1096,theory(equality)]),['split']).
% cnf(1100,plain,(epred2_0),inference(spm,[status(thm)],[1097,468,theory(equality)])).
% cnf(1105,plain,($false|~epred1_0),inference(rw,[status(thm)],[1098,1100,theory(equality)])).
% cnf(1106,plain,(~epred1_0),inference(cn,[status(thm)],[1105,theory(equality)])).
% cnf(1108,plain,(~r2_hidden(X1,k1_xboole_0)),inference(sr,[status(thm)],[1095,1106,theory(equality)])).
% cnf(1109,plain,(r3_lattice3(X1,X2,k1_xboole_0)|v3_struct_0(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[1108,601,theory(equality)])).
% cnf(1157,plain,(v1_xboole_0(X1)|m1_subset_1(X2,X1)|v1_xboole_0(esk16_1(X1))|~m1_subset_1(X2,esk16_1(X1))),inference(spm,[status(thm)],[802,511,theory(equality)])).
% fof(1163, plain,(~(epred4_0)<=>![X3]:![X2]:(~(l1_struct_0(X3))|~(r2_hidden(X2,k1_pre_topc(X3))))),introduced(definition),['split']).
% cnf(1164,plain,(epred4_0|~r2_hidden(X2,k1_pre_topc(X3))|~l1_struct_0(X3)),inference(split_equiv,[status(thm)],[1163])).
% cnf(1177,plain,(epred4_0|X2=k1_pre_topc(X1)|r2_hidden(esk9_2(X2,k1_pre_topc(X1)),X2)|~l1_struct_0(X1)),inference(spm,[status(thm)],[1164,252,theory(equality)])).
% cnf(1322,plain,(k15_lattice3(k11_conlat_1(X1),k1_xboole_0)=k6_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[839,212])).
% cnf(1323,plain,(k15_lattice3(k11_conlat_1(X1),k1_xboole_0)=k6_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1322,434])).
% cnf(1324,plain,(k15_lattice3(k11_conlat_1(X1),k1_xboole_0)=k6_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1323,430])).
% cnf(1325,plain,(k15_lattice3(k11_conlat_1(X1),k1_xboole_0)=k6_conlat_1(X1)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1324,214])).
% cnf(1327,plain,(k6_conlat_1(X1)=k3_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|~m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[202,1325,theory(equality)])).
% cnf(1328,plain,(k6_conlat_1(X1)=k3_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|$false|~l2_conlat_1(X1)),inference(rw,[status(thm)],[1327,1010,theory(equality)])).
% cnf(1329,plain,(k6_conlat_1(X1)=k3_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(cn,[status(thm)],[1328,theory(equality)])).
% cnf(1370,plain,(v7_conlat_1(k5_conlat_1(X1),X1)|m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~v6_conlat_1(k5_conlat_1(X1),X1)|~l3_conlat_1(k5_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(spm,[status(thm)],[911,286,theory(equality)])).
% cnf(1381,plain,(esk4_1(k1_zfmisc_1(X1))=X2|~v1_xboole_0(X1)|~v1_xboole_0(X2)),inference(spm,[status(thm)],[789,892,theory(equality)])).
% cnf(1395,plain,(m1_subset_1(esk9_2(X1,X2),X1)|X1=X2|~v1_xboole_0(X2)),inference(spm,[status(thm)],[402,892,theory(equality)])).
% cnf(1401,plain,(esk4_1(k1_zfmisc_1(X1))=k1_pre_topc(X2)|~v1_xboole_0(X1)|~l1_struct_0(X2)),inference(spm,[status(thm)],[1381,672,theory(equality)])).
% cnf(1424,plain,(~r2_hidden(X1,k1_pre_topc(X3))|~v1_xboole_0(X2)|~l1_struct_0(X3)),inference(spm,[status(thm)],[789,1401,theory(equality)])).
% fof(1428, plain,(~(epred5_0)<=>![X2]:~(v1_xboole_0(X2))),introduced(definition),['split']).
% cnf(1429,plain,(epred5_0|~v1_xboole_0(X2)),inference(split_equiv,[status(thm)],[1428])).
% cnf(1430,plain,(~epred5_0|~epred4_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[1424,1163,theory(equality)]),1428,theory(equality)]),['split']).
% cnf(1432,plain,(epred5_0),inference(spm,[status(thm)],[1429,468,theory(equality)])).
% cnf(1433,plain,($false|~epred4_0),inference(rw,[status(thm)],[1430,1432,theory(equality)])).
% cnf(1434,plain,(~epred4_0),inference(cn,[status(thm)],[1433,theory(equality)])).
% cnf(1566,plain,(k1_zfmisc_1(X2)=X3|~r2_hidden(X1,esk9_2(k1_zfmisc_1(X2),X3))|~v1_xboole_0(X2)|~v1_xboole_0(X3)),inference(spm,[status(thm)],[498,1395,theory(equality)])).
% cnf(1840,plain,(v7_conlat_1(k5_conlat_1(X1),X1)|m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~v6_conlat_1(k5_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1370,284])).
% cnf(1841,plain,(v7_conlat_1(k5_conlat_1(X1),X1)|m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1840,288])).
% cnf(1842,plain,(m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1841,287])).
% cnf(1877,plain,(r3_lattices(k11_conlat_1(X1),X2,X3)|v3_conlat_1(X1)|~r2_conlat_1(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[909,194,theory(equality)])).
% cnf(1878,plain,(r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))|v3_conlat_1(X1)|v7_conlat_1(k12_conlat_1(X1,X2),X1)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)|~l3_conlat_1(k12_conlat_1(X1,X2),X1)|~v9_conlat_1(k12_conlat_1(X1,X2),X1)),inference(spm,[status(thm)],[909,244,theory(equality)])).
% cnf(1880,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(esk32_3(k11_conlat_1(X1),X3,X2),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[552,1877,theory(equality)])).
% cnf(2040,plain,(r2_conlat_1(X1,X2,X3)|v3_conlat_1(X1)|~r3_lattices(k11_conlat_1(X1),X2,X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[923,194,theory(equality)])).
% cnf(2251,plain,(X2=k1_pre_topc(X1)|r2_hidden(esk9_2(X2,k1_pre_topc(X1)),X2)|~l1_struct_0(X1)),inference(sr,[status(thm)],[1177,1434,theory(equality)])).
% cnf(2264,plain,(k1_zfmisc_1(X1)=X2|esk9_2(k1_zfmisc_1(X1),X2)=k1_pre_topc(X3)|~v1_xboole_0(X1)|~v1_xboole_0(X2)|~l1_struct_0(X3)),inference(spm,[status(thm)],[1566,2251,theory(equality)])).
% cnf(2404,plain,(v1_xboole_0(X1)|m1_subset_1(X2,X1)|~m1_subset_1(X2,esk16_1(X1))),inference(csr,[status(thm)],[1157,335])).
% cnf(2412,plain,(v1_xboole_0(X1)|m1_subset_1(esk4_1(esk16_1(X1)),X1)),inference(spm,[status(thm)],[2404,223,theory(equality)])).
% cnf(2828,plain,(k1_zfmisc_1(X1)=X2|r2_hidden(k1_pre_topc(X3),k1_zfmisc_1(X1))|~v1_xboole_0(X2)|~l1_struct_0(X3)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[892,2264,theory(equality)])).
% cnf(3415,plain,(k1_zfmisc_1(X1)=k1_pre_topc(X2)|r2_hidden(k1_pre_topc(X3),k1_zfmisc_1(X1))|~l1_struct_0(X3)|~v1_xboole_0(X1)|~l1_struct_0(X2)),inference(spm,[status(thm)],[2828,672,theory(equality)])).
% cnf(3423,plain,(k1_zfmisc_1(X1)=k1_pre_topc(X2)|r2_hidden(k1_pre_topc(X3),k1_zfmisc_1(X1))|~l1_struct_0(X2)|~v1_xboole_0(X1)|~l1_lattices(X3)),inference(spm,[status(thm)],[3415,606,theory(equality)])).
% cnf(4100,plain,(k1_zfmisc_1(X1)=k1_pre_topc(X2)|r2_hidden(k1_pre_topc(X3),k1_zfmisc_1(X1))|~l1_struct_0(X2)|~v1_xboole_0(X1)|~l3_lattices(X3)),inference(spm,[status(thm)],[3423,652,theory(equality)])).
% cnf(4101,plain,(k1_zfmisc_1(X1)=k1_pre_topc(esk29_0)|r2_hidden(k1_pre_topc(X2),k1_zfmisc_1(X1))|~l3_lattices(X2)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[4100,508,theory(equality)])).
% cnf(4111,plain,(m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(X2))|k1_zfmisc_1(X2)=k1_pre_topc(esk29_0)|~l3_lattices(X1)|~v1_xboole_0(X2)),inference(spm,[status(thm)],[402,4101,theory(equality)])).
% cnf(4139,plain,(k1_zfmisc_1(X3)=k1_pre_topc(esk29_0)|~r2_hidden(X1,k1_pre_topc(X2))|~v1_xboole_0(X3)|~l3_lattices(X2)),inference(spm,[status(thm)],[498,4111,theory(equality)])).
% cnf(4282,plain,(k1_zfmisc_1(X1)=k1_pre_topc(esk29_0)|X3=k1_pre_topc(X2)|~l3_lattices(X2)|~v1_xboole_0(X1)|~v1_xboole_0(X3)),inference(spm,[status(thm)],[4139,897,theory(equality)])).
% cnf(4292,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_pre_topc(esk29_0)|X2=k1_pre_topc(X3)|~l3_lattices(X3)|~v1_xboole_0(X2)|~l1_struct_0(X1)),inference(spm,[status(thm)],[4282,672,theory(equality)])).
% cnf(4293,plain,(k1_zfmisc_1(k1_xboole_0)=k1_pre_topc(esk29_0)|X1=k1_pre_topc(X2)|~l3_lattices(X2)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[4282,468,theory(equality)])).
% cnf(4298,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_pre_topc(esk29_0)|k1_xboole_0=k1_pre_topc(X2)|~l1_struct_0(X1)|~l3_lattices(X2)),inference(spm,[status(thm)],[4292,468,theory(equality)])).
% cnf(4305,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_pre_topc(esk29_0)|k1_pre_topc(X2)=k1_xboole_0|~l3_lattices(X2)|~l1_lattices(X1)),inference(spm,[status(thm)],[4298,606,theory(equality)])).
% cnf(4310,plain,(k1_pre_topc(esk29_0)=k1_zfmisc_1(k1_xboole_0)|k1_pre_topc(X1)=k1_pre_topc(X2)|~l3_lattices(X2)|~l1_struct_0(X1)),inference(spm,[status(thm)],[4293,672,theory(equality)])).
% cnf(4464,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_pre_topc(esk29_0)|k1_pre_topc(X2)=k1_xboole_0|~l3_lattices(X2)|~l3_lattices(X1)),inference(spm,[status(thm)],[4305,652,theory(equality)])).
% cnf(4471,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_pre_topc(esk29_0)|k1_pre_topc(esk3_0)=k1_xboole_0|~l3_lattices(X1)),inference(spm,[status(thm)],[4464,220,theory(equality)])).
% cnf(5282,plain,(k1_pre_topc(esk3_0)=k1_xboole_0|~v1_xboole_0(k1_pre_topc(esk29_0))|~l3_lattices(X1)),inference(spm,[status(thm)],[422,4471,theory(equality)])).
% cnf(5368,plain,(k1_pre_topc(esk3_0)=k1_xboole_0|~l3_lattices(X1)|~v1_xboole_0(k1_xboole_0)|~l1_struct_0(esk29_0)),inference(spm,[status(thm)],[5282,773,theory(equality)])).
% cnf(5373,plain,(k1_pre_topc(esk3_0)=k1_xboole_0|~l3_lattices(X1)|$false|~l1_struct_0(esk29_0)),inference(rw,[status(thm)],[5368,468,theory(equality)])).
% cnf(5374,plain,(k1_pre_topc(esk3_0)=k1_xboole_0|~l3_lattices(X1)|$false|$false),inference(rw,[status(thm)],[5373,508,theory(equality)])).
% cnf(5375,plain,(k1_pre_topc(esk3_0)=k1_xboole_0|~l3_lattices(X1)),inference(cn,[status(thm)],[5374,theory(equality)])).
% cnf(5380,plain,(k1_pre_topc(esk3_0)=k1_xboole_0),inference(spm,[status(thm)],[5375,483,theory(equality)])).
% cnf(5470,plain,(k1_pre_topc(esk29_0)=k1_zfmisc_1(k1_xboole_0)|k1_pre_topc(esk29_0)=k1_pre_topc(X1)|~l3_lattices(X1)),inference(spm,[status(thm)],[4310,508,theory(equality)])).
% cnf(5477,plain,(k1_pre_topc(esk29_0)=k1_xboole_0|k1_pre_topc(esk29_0)=k1_zfmisc_1(k1_xboole_0)|~l3_lattices(esk3_0)),inference(spm,[status(thm)],[5380,5470,theory(equality)])).
% cnf(5582,plain,(k1_pre_topc(esk29_0)=k1_xboole_0|k1_pre_topc(esk29_0)=k1_zfmisc_1(k1_xboole_0)|$false),inference(rw,[status(thm)],[5477,220,theory(equality)])).
% cnf(5583,plain,(k1_pre_topc(esk29_0)=k1_xboole_0|k1_pre_topc(esk29_0)=k1_zfmisc_1(k1_xboole_0)),inference(cn,[status(thm)],[5582,theory(equality)])).
% cnf(6182,plain,(v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|k1_pre_topc(esk29_0)=k1_xboole_0|~l1_struct_0(esk29_0)),inference(spm,[status(thm)],[672,5583,theory(equality)])).
% cnf(6238,plain,(v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|k1_pre_topc(esk29_0)=k1_xboole_0|$false),inference(rw,[status(thm)],[6182,508,theory(equality)])).
% cnf(6239,plain,(v1_xboole_0(k1_zfmisc_1(k1_xboole_0))|k1_pre_topc(esk29_0)=k1_xboole_0),inference(cn,[status(thm)],[6238,theory(equality)])).
% cnf(6240,plain,(k1_pre_topc(esk29_0)=k1_xboole_0),inference(sr,[status(thm)],[6239,422,theory(equality)])).
% cnf(6399,plain,(k1_zfmisc_1(X1)=k1_xboole_0|~l3_lattices(X2)|~r2_hidden(X3,k1_pre_topc(X2))|~v1_xboole_0(X1)),inference(rw,[status(thm)],[4139,6240,theory(equality)])).
% cnf(6796,plain,(k1_zfmisc_1(X1)=k1_xboole_0|v1_xboole_0(k1_pre_topc(X2))|~l3_lattices(X2)|~v1_xboole_0(X1)|~m1_subset_1(X3,k1_pre_topc(X2))),inference(spm,[status(thm)],[6399,511,theory(equality)])).
% cnf(8092,plain,(k1_zfmisc_1(X1)=k1_xboole_0|v1_xboole_0(k1_pre_topc(X2))|~l3_lattices(X2)|~v1_xboole_0(X1)),inference(spm,[status(thm)],[6796,2412,theory(equality)])).
% cnf(8119,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_xboole_0|v1_xboole_0(k1_pre_topc(X2))|~l3_lattices(X2)|~l1_struct_0(X1)),inference(spm,[status(thm)],[8092,672,theory(equality)])).
% cnf(8124,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_xboole_0|v1_xboole_0(k1_pre_topc(X2))|~l3_lattices(X2)|~l1_lattices(X1)),inference(spm,[status(thm)],[8119,606,theory(equality)])).
% cnf(8185,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_xboole_0|v1_xboole_0(k1_pre_topc(X2))|~l3_lattices(X2)|~l3_lattices(X1)),inference(spm,[status(thm)],[8124,652,theory(equality)])).
% cnf(8192,plain,(k1_zfmisc_1(k1_pre_topc(X1))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(X2)))|v3_conlat_1(X2)|~l3_lattices(X1)|~l2_conlat_1(X2)),inference(spm,[status(thm)],[8185,212,theory(equality)])).
% cnf(8356,plain,(k1_zfmisc_1(k1_pre_topc(k11_conlat_1(X1)))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(X2)))|v3_conlat_1(X2)|v3_conlat_1(X1)|~l2_conlat_1(X2)|~l2_conlat_1(X1)),inference(spm,[status(thm)],[8192,212,theory(equality)])).
% cnf(10563,negated_conjecture,(k1_zfmisc_1(k1_pre_topc(k11_conlat_1(X1)))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(esk36_0)))|v3_conlat_1(X1)|v3_conlat_1(esk36_0)|~l2_conlat_1(X1)),inference(spm,[status(thm)],[8356,767,theory(equality)])).
% cnf(10565,negated_conjecture,(k1_zfmisc_1(k1_pre_topc(k11_conlat_1(X1)))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(esk36_0)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(sr,[status(thm)],[10563,768,theory(equality)])).
% cnf(10597,negated_conjecture,(k1_zfmisc_1(k1_pre_topc(k11_conlat_1(esk36_0)))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(esk36_0)))|v3_conlat_1(esk36_0)),inference(spm,[status(thm)],[10565,767,theory(equality)])).
% cnf(10599,negated_conjecture,(k1_zfmisc_1(k1_pre_topc(k11_conlat_1(esk36_0)))=k1_xboole_0|v1_xboole_0(k1_pre_topc(k11_conlat_1(esk36_0)))),inference(sr,[status(thm)],[10597,768,theory(equality)])).
% cnf(10600,negated_conjecture,(k1_xboole_0=k1_pre_topc(k11_conlat_1(esk36_0))|k1_zfmisc_1(k1_pre_topc(k11_conlat_1(esk36_0)))=k1_xboole_0),inference(spm,[status(thm)],[345,10599,theory(equality)])).
% cnf(10648,negated_conjecture,(k1_pre_topc(k11_conlat_1(esk36_0))=k1_xboole_0|~v1_xboole_0(k1_xboole_0)),inference(spm,[status(thm)],[422,10600,theory(equality)])).
% cnf(10721,negated_conjecture,(k1_pre_topc(k11_conlat_1(esk36_0))=k1_xboole_0|$false),inference(rw,[status(thm)],[10648,468,theory(equality)])).
% cnf(10722,negated_conjecture,(k1_pre_topc(k11_conlat_1(esk36_0))=k1_xboole_0),inference(cn,[status(thm)],[10721,theory(equality)])).
% cnf(10824,negated_conjecture,(k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)|k3_conlat_2(esk36_0,k1_pre_topc(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)),inference(rw,[status(thm)],[766,10722,theory(equality)])).
% cnf(10825,negated_conjecture,(k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)|k3_conlat_2(esk36_0,k1_xboole_0)!=k6_conlat_1(esk36_0)),inference(rw,[status(thm)],[10824,10722,theory(equality)])).
% cnf(10884,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[10825,1329,theory(equality)])).
% cnf(10885,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)|$false),inference(rw,[status(thm)],[10884,767,theory(equality)])).
% cnf(10886,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)),inference(cn,[status(thm)],[10885,theory(equality)])).
% cnf(10887,negated_conjecture,(k2_conlat_2(esk36_0,k1_xboole_0)!=k5_conlat_1(esk36_0)),inference(sr,[status(thm)],[10886,768,theory(equality)])).
% cnf(17432,plain,(r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))|v7_conlat_1(k12_conlat_1(X1,X2),X1)|v3_conlat_1(X1)|~l3_conlat_1(k12_conlat_1(X1,X2),X1)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1878,390])).
% cnf(17433,plain,(r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))|v7_conlat_1(k12_conlat_1(X1,X2),X1)|v3_conlat_1(X1)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17432,389])).
% cnf(17434,plain,(r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))|v7_conlat_1(k12_conlat_1(X1,X2),X1)|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17433,1842])).
% cnf(17435,plain,(r3_lattices(k11_conlat_1(X1),X2,k5_conlat_1(X1))|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17434,391])).
% cnf(17437,plain,(r2_conlat_1(X1,X2,k5_conlat_1(X1))|v3_conlat_1(X1)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[2040,17435,theory(equality)])).
% cnf(17438,plain,(r2_conlat_1(X1,X2,k5_conlat_1(X1))|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17437,1842])).
% cnf(17501,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1880,554])).
% cnf(17502,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17501,212])).
% cnf(17503,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~v4_lattice3(k11_conlat_1(X1))|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17502,434])).
% cnf(17504,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17503,430])).
% cnf(17505,plain,(k16_lattice3(k11_conlat_1(X1),X2)=X3|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),X3,X2)|~r2_conlat_1(X1,esk32_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17504,214])).
% cnf(17507,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)|~m1_subset_1(esk32_3(k11_conlat_1(X1),k5_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[17505,17438,theory(equality)])).
% cnf(55814,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~m1_subset_1(esk32_3(k11_conlat_1(X1),k5_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17507,1842])).
% cnf(55815,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~l2_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[55814,554,theory(equality)])).
% cnf(71358,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[55815,1842])).
% cnf(71359,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71358,212])).
% cnf(71360,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~v4_lattice3(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71359,434])).
% cnf(71361,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71360,430])).
% cnf(71362,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|~r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71361,214])).
% cnf(71365,plain,(k16_lattice3(k11_conlat_1(X1),k1_xboole_0)=k5_conlat_1(X1)|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|~l2_conlat_1(X1)|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[71362,1109,theory(equality)])).
% cnf(71379,plain,(k16_lattice3(k11_conlat_1(X1),k1_xboole_0)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l3_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71365,1842])).
% cnf(71380,plain,(k16_lattice3(k11_conlat_1(X1),k1_xboole_0)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71379,212])).
% cnf(71381,plain,(k16_lattice3(k11_conlat_1(X1),k1_xboole_0)=k5_conlat_1(X1)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[71380,214])).
% cnf(71390,plain,(k5_conlat_1(X1)=k2_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|~m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[198,71381,theory(equality)])).
% cnf(71397,plain,(k5_conlat_1(X1)=k2_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|$false|~l2_conlat_1(X1)),inference(rw,[status(thm)],[71390,1010,theory(equality)])).
% cnf(71398,plain,(k5_conlat_1(X1)=k2_conlat_2(X1,k1_xboole_0)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(cn,[status(thm)],[71397,theory(equality)])).
% cnf(71401,negated_conjecture,(v3_conlat_1(esk36_0)|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[10887,71398,theory(equality)])).
% cnf(71418,negated_conjecture,(v3_conlat_1(esk36_0)|$false),inference(rw,[status(thm)],[71401,767,theory(equality)])).
% cnf(71419,negated_conjecture,(v3_conlat_1(esk36_0)),inference(cn,[status(thm)],[71418,theory(equality)])).
% cnf(71420,negated_conjecture,($false),inference(sr,[status(thm)],[71419,768,theory(equality)])).
% cnf(71421,negated_conjecture,($false),71420,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8445
% # ...of these trivial : 0
% # ...subsumed : 6223
% # ...remaining for further processing: 2222
% # Other redundant clauses eliminated : 7
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 201
% # Backward-rewritten : 75
% # Generated clauses : 52829
% # ...of the previous two non-trivial : 51429
% # Contextual simplify-reflections : 10066
% # Paramodulations : 52514
% # Factorizations : 81
% # Equation resolutions : 207
% # Current number of processed clauses: 1933
% # Positive orientable unit clauses: 83
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 16
% # Non-unit-clauses : 1834
% # Current number of unprocessed clauses: 38179
% # ...number of literals in the above : 251214
% # Clause-clause subsumption calls (NU) : 521917
% # Rec. Clause-clause subsumption calls : 117741
% # Unit Clause-clause subsumption calls : 4451
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 50
% # Indexed BW rewrite successes : 26
% # Backwards rewriting index: 1461 leaves, 1.78+/-3.107 terms/leaf
% # Paramod-from index: 592 leaves, 1.42+/-1.380 terms/leaf
% # Paramod-into index: 1233 leaves, 1.64+/-2.631 terms/leaf
% # -------------------------------------------------
% # User time : 3.453 s
% # System time : 0.094 s
% # Total time : 3.547 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.77 CPU 4.90 WC
% FINAL PrfWatch: 4.77 CPU 4.90 WC
% SZS output end Solution for /tmp/SystemOnTPTP8189/LAT339+1.tptp
%
%------------------------------------------------------------------------------