TSTP Solution File: LAT340+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT340+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 : art06.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 11:30:20 EST 2010
% Result : Theorem 4.26s
% Output : Solution 4.26s
% 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/SystemOnTPTP22313/LAT340+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22313/LAT340+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22313/LAT340+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 22409
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% # Preprocessing time : 0.035 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:k2_subset_1(X1)=X1,file('/tmp/SRASS.s.p', d4_subset_1)).
% fof(3, 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(4, 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(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))))=>k2_conlat_2(X1,X2)=k16_lattice3(k11_conlat_1(X1),X2))),file('/tmp/SRASS.s.p', d2_conlat_2)).
% fof(6, 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(9, 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(19, 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(23, 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(26, axiom,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((v6_conlat_1(k6_conlat_1(X1),X1)&~(v7_conlat_1(k6_conlat_1(X1),X1)))&v9_conlat_1(k6_conlat_1(X1),X1))&v11_conlat_1(k6_conlat_1(X1),X1))&l3_conlat_1(k6_conlat_1(X1),X1))),file('/tmp/SRASS.s.p', dt_k6_conlat_1)).
% fof(27, 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(28, 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(33, axiom,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(38, axiom,![X1]:![X2]:((~(v3_struct_0(X1))&l3_lattices(X1))=>m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k15_lattice3)).
% fof(39, axiom,![X1]:![X2]:((~(v3_struct_0(X1))&l3_lattices(X1))=>m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))),file('/tmp/SRASS.s.p', dt_k16_lattice3)).
% fof(41, axiom,![X1]:(l3_lattices(X1)=>((~(v3_struct_0(X1))&v10_lattices(X1))=>((((((~(v3_struct_0(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))),file('/tmp/SRASS.s.p', cc1_lattices)).
% fof(43, axiom,![X1]:m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1)),file('/tmp/SRASS.s.p', dt_k2_subset_1)).
% fof(46, 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(50, axiom,![X1]:![X2]:~((r2_hidden(X1,X2)&v1_xboole_0(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(54, axiom,![X1]:~(v1_xboole_0(k1_zfmisc_1(X1))),file('/tmp/SRASS.s.p', fc1_subset_1)).
% fof(56, 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(58, axiom,![X1]:![X2]:![X3]:((~(v3_struct_0(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_2_1_lattice3(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattice3(X2,X4,X3)))),file('/tmp/SRASS.s.p', fraenkel_a_2_1_lattice3)).
% fof(72, axiom,![X1]:![X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_hidden(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(78, 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(84, 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(85, axiom,![X1]:(l1_lattices(X1)=>l1_struct_0(X1)),file('/tmp/SRASS.s.p', dt_l1_lattices)).
% fof(93, axiom,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>((((~(v3_struct_0(X1))&v10_lattices(X1))&v14_lattices(X1))&l3_lattices(X1))&k6_lattices(X1)=k15_lattice3(X1,u1_struct_0(X1)))),file('/tmp/SRASS.s.p', t51_lattice3)).
% fof(94, axiom,![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(100, 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(120, conjecture,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k5_conlat_1(X1)&k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k6_conlat_1(X1))),file('/tmp/SRASS.s.p', t6_conlat_2)).
% fof(121, negated_conjecture,~(![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k5_conlat_1(X1)&k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k6_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)],[3,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)],[4,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)],[5,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)],[6,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)],[9,theory(equality)])).
% fof(132, 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)],[19,theory(equality)])).
% fof(134, 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)],[23,theory(equality)])).
% fof(137, plain,![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>((((v6_conlat_1(k6_conlat_1(X1),X1)&~(v7_conlat_1(k6_conlat_1(X1),X1)))&v9_conlat_1(k6_conlat_1(X1),X1))&v11_conlat_1(k6_conlat_1(X1),X1))&l3_conlat_1(k6_conlat_1(X1),X1))),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(138, 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)],[27,theory(equality)])).
% fof(139, 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)],[28,theory(equality)])).
% fof(142, plain,![X1]:((~(v3_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_simplification,[status(thm)],[33,theory(equality)])).
% fof(144, plain,![X1]:![X2]:((~(v3_struct_0(X1))&l3_lattices(X1))=>m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[38,theory(equality)])).
% fof(145, plain,![X1]:![X2]:((~(v3_struct_0(X1))&l3_lattices(X1))=>m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% fof(146, 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)],[41,theory(equality)])).
% fof(149, 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)],[46,theory(equality)])).
% fof(151, plain,![X1]:~(v1_xboole_0(k1_zfmisc_1(X1))),inference(fof_simplification,[status(thm)],[54,theory(equality)])).
% fof(152, 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)],[56,theory(equality)])).
% fof(154, plain,![X1]:![X2]:![X3]:((~(v3_struct_0(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_2_1_lattice3(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattice3(X2,X4,X3)))),inference(fof_simplification,[status(thm)],[58,theory(equality)])).
% fof(162, 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)],[78,theory(equality)])).
% fof(168, 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)],[84,theory(equality)])).
% fof(172, plain,![X1]:((((~(v3_struct_0(X1))&v10_lattices(X1))&v4_lattice3(X1))&l3_lattices(X1))=>((((~(v3_struct_0(X1))&v10_lattices(X1))&v14_lattices(X1))&l3_lattices(X1))&k6_lattices(X1)=k15_lattice3(X1,u1_struct_0(X1)))),inference(fof_simplification,[status(thm)],[93,theory(equality)])).
% fof(175, 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)],[100,theory(equality)])).
% fof(182, negated_conjecture,~(![X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))=>(k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k5_conlat_1(X1)&k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k6_conlat_1(X1)))),inference(fof_simplification,[status(thm)],[121,theory(equality)])).
% fof(183, plain,![X2]:k2_subset_1(X2)=X2,inference(variable_rename,[status(thm)],[1])).
% cnf(184,plain,(k2_subset_1(X1)=X1),inference(split_conjunct,[status(thm)],[183])).
% fof(188, 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(189, 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)],[188])).
% fof(190, 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)],[189])).
% cnf(191,plain,(v3_conlat_1(X1)|k6_lattices(k11_conlat_1(X1))=k5_conlat_1(X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[190])).
% fof(193, 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(194, 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)],[193])).
% fof(195, 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)],[194])).
% cnf(196,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)],[195])).
% fof(197, 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(198, 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)],[197])).
% fof(199, 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)],[198])).
% cnf(200,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)],[199])).
% fof(201, 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(202, 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)],[201])).
% fof(203, 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)],[202])).
% cnf(204,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)],[203])).
% fof(211, 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(212, 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)],[211])).
% fof(213, 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)],[212])).
% cnf(214,plain,(v3_conlat_1(X1)|l3_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[213])).
% cnf(216,plain,(v3_conlat_1(X1)|~l2_conlat_1(X1)|~v3_struct_0(k11_conlat_1(X1))),inference(split_conjunct,[status(thm)],[213])).
% fof(253, 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)],[132])).
% fof(254, 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)],[253])).
% fof(255, 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)],[254])).
% fof(256, 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)],[255])).
% cnf(257,plain,(v3_conlat_1(X1)|v7_conlat_1(X2,X1)|r2_conlat_1(X1,k6_conlat_1(X1),X2)|~l2_conlat_1(X1)|~l3_conlat_1(X2,X1)|~v9_conlat_1(X2,X1)),inference(split_conjunct,[status(thm)],[256])).
% cnf(258,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)],[256])).
% fof(276, 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)],[134])).
% fof(277, 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)],[276])).
% cnf(278,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)],[277])).
% fof(294, plain,![X1]:((v3_conlat_1(X1)|~(l2_conlat_1(X1)))|((((v6_conlat_1(k6_conlat_1(X1),X1)&~(v7_conlat_1(k6_conlat_1(X1),X1)))&v9_conlat_1(k6_conlat_1(X1),X1))&v11_conlat_1(k6_conlat_1(X1),X1))&l3_conlat_1(k6_conlat_1(X1),X1))),inference(fof_nnf,[status(thm)],[137])).
% fof(295, plain,![X2]:((v3_conlat_1(X2)|~(l2_conlat_1(X2)))|((((v6_conlat_1(k6_conlat_1(X2),X2)&~(v7_conlat_1(k6_conlat_1(X2),X2)))&v9_conlat_1(k6_conlat_1(X2),X2))&v11_conlat_1(k6_conlat_1(X2),X2))&l3_conlat_1(k6_conlat_1(X2),X2))),inference(variable_rename,[status(thm)],[294])).
% fof(296, plain,![X2]:(((((v6_conlat_1(k6_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))&(~(v7_conlat_1(k6_conlat_1(X2),X2))|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v9_conlat_1(k6_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(v11_conlat_1(k6_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2)))))&(l3_conlat_1(k6_conlat_1(X2),X2)|(v3_conlat_1(X2)|~(l2_conlat_1(X2))))),inference(distribute,[status(thm)],[295])).
% cnf(297,plain,(v3_conlat_1(X1)|l3_conlat_1(k6_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[296])).
% cnf(299,plain,(v3_conlat_1(X1)|v9_conlat_1(k6_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[296])).
% cnf(300,plain,(v3_conlat_1(X1)|~l2_conlat_1(X1)|~v7_conlat_1(k6_conlat_1(X1),X1)),inference(split_conjunct,[status(thm)],[296])).
% cnf(301,plain,(v3_conlat_1(X1)|v6_conlat_1(k6_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[296])).
% fof(302, 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)],[138])).
% fof(303, 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)],[302])).
% fof(304, 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)],[303])).
% fof(305, 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)],[304])).
% cnf(306,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)],[305])).
% cnf(307,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)],[305])).
% fof(308, 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)],[139])).
% fof(309, 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)],[308])).
% fof(310, 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)],[309])).
% cnf(311,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)],[310])).
% fof(336, plain,![X1]:((v3_struct_0(X1)|~(l1_struct_0(X1)))|~(v1_xboole_0(u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[142])).
% fof(337, plain,![X2]:((v3_struct_0(X2)|~(l1_struct_0(X2)))|~(v1_xboole_0(u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[336])).
% cnf(338,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_struct_0(X1)),inference(split_conjunct,[status(thm)],[337])).
% fof(354, plain,![X1]:![X2]:((v3_struct_0(X1)|~(l3_lattices(X1)))|m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[144])).
% fof(355, plain,![X3]:![X4]:((v3_struct_0(X3)|~(l3_lattices(X3)))|m1_subset_1(k15_lattice3(X3,X4),u1_struct_0(X3))),inference(variable_rename,[status(thm)],[354])).
% cnf(356,plain,(m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))|v3_struct_0(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[355])).
% fof(357, plain,![X1]:![X2]:((v3_struct_0(X1)|~(l3_lattices(X1)))|m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))),inference(fof_nnf,[status(thm)],[145])).
% fof(358, plain,![X3]:![X4]:((v3_struct_0(X3)|~(l3_lattices(X3)))|m1_subset_1(k16_lattice3(X3,X4),u1_struct_0(X3))),inference(variable_rename,[status(thm)],[357])).
% cnf(359,plain,(m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))|v3_struct_0(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[358])).
% fof(363, 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)],[146])).
% fof(364, 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)],[363])).
% fof(365, 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)],[364])).
% cnf(366,plain,(v3_struct_0(X1)|v9_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[365])).
% cnf(367,plain,(v3_struct_0(X1)|v8_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[365])).
% cnf(369,plain,(v3_struct_0(X1)|v6_lattices(X1)|~l3_lattices(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[365])).
% fof(378, plain,![X2]:m1_subset_1(k2_subset_1(X2),k1_zfmisc_1(X2)),inference(variable_rename,[status(thm)],[43])).
% cnf(379,plain,(m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[378])).
% fof(396, 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)],[149])).
% fof(397, 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)],[396])).
% fof(398, 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)],[397])).
% cnf(399,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)],[398])).
% cnf(400,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)],[398])).
% cnf(401,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)],[398])).
% fof(416, plain,![X1]:![X2]:(~(r2_hidden(X1,X2))|~(v1_xboole_0(X2))),inference(fof_nnf,[status(thm)],[50])).
% fof(417, plain,![X3]:![X4]:(~(r2_hidden(X3,X4))|~(v1_xboole_0(X4))),inference(variable_rename,[status(thm)],[416])).
% cnf(418,plain,(~v1_xboole_0(X1)|~r2_hidden(X2,X1)),inference(split_conjunct,[status(thm)],[417])).
% fof(428, plain,![X2]:~(v1_xboole_0(k1_zfmisc_1(X2))),inference(variable_rename,[status(thm)],[151])).
% cnf(429,plain,(~v1_xboole_0(k1_zfmisc_1(X1))),inference(split_conjunct,[status(thm)],[428])).
% fof(434, 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)],[152])).
% fof(435, 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)],[434])).
% fof(436, 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)],[435])).
% cnf(437,plain,(v3_conlat_1(X1)|v4_lattice3(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[436])).
% cnf(441,plain,(v3_conlat_1(X1)|v10_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[436])).
% cnf(442,plain,(v3_conlat_1(X1)|v9_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[436])).
% cnf(443,plain,(v3_conlat_1(X1)|v8_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[436])).
% cnf(445,plain,(v3_conlat_1(X1)|v6_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(split_conjunct,[status(thm)],[436])).
% fof(453, plain,![X1]:![X2]:![X3]:((v3_struct_0(X2)|~(l3_lattices(X2)))|((~(r2_hidden(X1,a_2_1_lattice3(X2,X3)))|?[X4]:((m1_subset_1(X4,u1_struct_0(X2))&X1=X4)&r3_lattice3(X2,X4,X3)))&(![X4]:((~(m1_subset_1(X4,u1_struct_0(X2)))|~(X1=X4))|~(r3_lattice3(X2,X4,X3)))|r2_hidden(X1,a_2_1_lattice3(X2,X3))))),inference(fof_nnf,[status(thm)],[154])).
% fof(454, plain,![X5]:![X6]:![X7]:((v3_struct_0(X6)|~(l3_lattices(X6)))|((~(r2_hidden(X5,a_2_1_lattice3(X6,X7)))|?[X8]:((m1_subset_1(X8,u1_struct_0(X6))&X5=X8)&r3_lattice3(X6,X8,X7)))&(![X9]:((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattice3(X6,X9,X7)))|r2_hidden(X5,a_2_1_lattice3(X6,X7))))),inference(variable_rename,[status(thm)],[453])).
% fof(455, plain,![X5]:![X6]:![X7]:((v3_struct_0(X6)|~(l3_lattices(X6)))|((~(r2_hidden(X5,a_2_1_lattice3(X6,X7)))|((m1_subset_1(esk24_3(X5,X6,X7),u1_struct_0(X6))&X5=esk24_3(X5,X6,X7))&r3_lattice3(X6,esk24_3(X5,X6,X7),X7)))&(![X9]:((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattice3(X6,X9,X7)))|r2_hidden(X5,a_2_1_lattice3(X6,X7))))),inference(skolemize,[status(esa)],[454])).
% fof(456, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattice3(X6,X9,X7)))|r2_hidden(X5,a_2_1_lattice3(X6,X7)))&(~(r2_hidden(X5,a_2_1_lattice3(X6,X7)))|((m1_subset_1(esk24_3(X5,X6,X7),u1_struct_0(X6))&X5=esk24_3(X5,X6,X7))&r3_lattice3(X6,esk24_3(X5,X6,X7),X7))))|(v3_struct_0(X6)|~(l3_lattices(X6)))),inference(shift_quantors,[status(thm)],[455])).
% fof(457, plain,![X5]:![X6]:![X7]:![X9]:(((((~(m1_subset_1(X9,u1_struct_0(X6)))|~(X5=X9))|~(r3_lattice3(X6,X9,X7)))|r2_hidden(X5,a_2_1_lattice3(X6,X7)))|(v3_struct_0(X6)|~(l3_lattices(X6))))&((((m1_subset_1(esk24_3(X5,X6,X7),u1_struct_0(X6))|~(r2_hidden(X5,a_2_1_lattice3(X6,X7))))|(v3_struct_0(X6)|~(l3_lattices(X6))))&((X5=esk24_3(X5,X6,X7)|~(r2_hidden(X5,a_2_1_lattice3(X6,X7))))|(v3_struct_0(X6)|~(l3_lattices(X6)))))&((r3_lattice3(X6,esk24_3(X5,X6,X7),X7)|~(r2_hidden(X5,a_2_1_lattice3(X6,X7))))|(v3_struct_0(X6)|~(l3_lattices(X6)))))),inference(distribute,[status(thm)],[456])).
% cnf(458,plain,(v3_struct_0(X1)|r3_lattice3(X1,esk24_3(X2,X1,X3),X3)|~l3_lattices(X1)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[457])).
% cnf(459,plain,(v3_struct_0(X1)|X2=esk24_3(X2,X1,X3)|~l3_lattices(X1)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[457])).
% cnf(460,plain,(v3_struct_0(X1)|m1_subset_1(esk24_3(X2,X1,X3),u1_struct_0(X1))|~l3_lattices(X1)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[457])).
% cnf(461,plain,(v3_struct_0(X1)|r2_hidden(X2,a_2_1_lattice3(X1,X3))|~l3_lattices(X1)|~r3_lattice3(X1,X4,X3)|X2!=X4|~m1_subset_1(X4,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[457])).
% fof(525, plain,![X1]:![X2]:(~(m1_subset_1(X1,X2))|(v1_xboole_0(X2)|r2_hidden(X1,X2))),inference(fof_nnf,[status(thm)],[72])).
% fof(526, plain,![X3]:![X4]:(~(m1_subset_1(X3,X4))|(v1_xboole_0(X4)|r2_hidden(X3,X4))),inference(variable_rename,[status(thm)],[525])).
% cnf(527,plain,(r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)),inference(split_conjunct,[status(thm)],[526])).
% fof(563, 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)],[162])).
% fof(564, 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)],[563])).
% fof(565, 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(esk33_3(X5,X6,X7),u1_struct_0(X5))&(r3_lattice3(X5,esk33_3(X5,X6,X7),X7)&~(r3_lattices(X5,esk33_3(X5,X6,X7),X6)))))|X6=k16_lattice3(X5,X7))))),inference(skolemize,[status(esa)],[564])).
% fof(566, 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(esk33_3(X5,X6,X7),u1_struct_0(X5))&(r3_lattice3(X5,esk33_3(X5,X6,X7),X7)&~(r3_lattices(X5,esk33_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)],[565])).
% fof(567, 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(esk33_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,esk33_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,esk33_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)],[566])).
% cnf(568,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,esk33_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[567])).
% cnf(569,plain,(v3_struct_0(X1)|X2=k16_lattice3(X1,X3)|r3_lattice3(X1,esk33_3(X1,X2,X3),X3)|~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)],[567])).
% cnf(570,plain,(v3_struct_0(X1)|X2=k16_lattice3(X1,X3)|m1_subset_1(esk33_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)],[567])).
% cnf(571,plain,(v3_struct_0(X1)|r3_lattice3(X1,X2,X3)|~l3_lattices(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|X2!=k16_lattice3(X1,X3)),inference(split_conjunct,[status(thm)],[567])).
% fof(603, 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)],[168])).
% fof(604, 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)],[603])).
% fof(605, 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(esk34_3(X5,X6,X7),u1_struct_0(X5))&(r2_hidden(esk34_3(X5,X6,X7),X7)&~(r1_lattices(X5,X6,esk34_3(X5,X6,X7)))))|r3_lattice3(X5,X6,X7))))),inference(skolemize,[status(esa)],[604])).
% fof(606, 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(esk34_3(X5,X6,X7),u1_struct_0(X5))&(r2_hidden(esk34_3(X5,X6,X7),X7)&~(r1_lattices(X5,X6,esk34_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)],[605])).
% fof(607, 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(esk34_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(esk34_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,esk34_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)],[606])).
% cnf(608,plain,(v3_struct_0(X1)|r3_lattice3(X1,X2,X3)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~r1_lattices(X1,X2,esk34_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[607])).
% cnf(609,plain,(v3_struct_0(X1)|r3_lattice3(X1,X2,X3)|r2_hidden(esk34_3(X1,X2,X3),X3)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[607])).
% cnf(610,plain,(v3_struct_0(X1)|r3_lattice3(X1,X2,X3)|m1_subset_1(esk34_3(X1,X2,X3),u1_struct_0(X1))|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[607])).
% cnf(611,plain,(v3_struct_0(X1)|r1_lattices(X1,X2,X4)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~r3_lattice3(X1,X2,X3)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))),inference(split_conjunct,[status(thm)],[607])).
% fof(612, plain,![X1]:(~(l1_lattices(X1))|l1_struct_0(X1)),inference(fof_nnf,[status(thm)],[85])).
% fof(613, plain,![X2]:(~(l1_lattices(X2))|l1_struct_0(X2)),inference(variable_rename,[status(thm)],[612])).
% cnf(614,plain,(l1_struct_0(X1)|~l1_lattices(X1)),inference(split_conjunct,[status(thm)],[613])).
% fof(644, plain,![X1]:((((v3_struct_0(X1)|~(v10_lattices(X1)))|~(v4_lattice3(X1)))|~(l3_lattices(X1)))|((((~(v3_struct_0(X1))&v10_lattices(X1))&v14_lattices(X1))&l3_lattices(X1))&k6_lattices(X1)=k15_lattice3(X1,u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[172])).
% fof(645, plain,![X2]:((((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2)))|((((~(v3_struct_0(X2))&v10_lattices(X2))&v14_lattices(X2))&l3_lattices(X2))&k6_lattices(X2)=k15_lattice3(X2,u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[644])).
% fof(646, 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)))))&(v14_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)))))&(k6_lattices(X2)=k15_lattice3(X2,u1_struct_0(X2))|(((v3_struct_0(X2)|~(v10_lattices(X2)))|~(v4_lattice3(X2)))|~(l3_lattices(X2))))),inference(distribute,[status(thm)],[645])).
% cnf(647,plain,(v3_struct_0(X1)|k6_lattices(X1)=k15_lattice3(X1,u1_struct_0(X1))|~l3_lattices(X1)|~v4_lattice3(X1)|~v10_lattices(X1)),inference(split_conjunct,[status(thm)],[646])).
% fof(652, plain,![X1]:(~(l3_lattices(X1))|(l1_lattices(X1)&l2_lattices(X1))),inference(fof_nnf,[status(thm)],[94])).
% fof(653, plain,![X2]:(~(l3_lattices(X2))|(l1_lattices(X2)&l2_lattices(X2))),inference(variable_rename,[status(thm)],[652])).
% fof(654, plain,![X2]:((l1_lattices(X2)|~(l3_lattices(X2)))&(l2_lattices(X2)|~(l3_lattices(X2)))),inference(distribute,[status(thm)],[653])).
% cnf(656,plain,(l1_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[654])).
% fof(682, 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)],[175])).
% fof(683, 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)],[682])).
% fof(684, 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)],[683])).
% cnf(685,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)],[684])).
% cnf(686,plain,(v3_struct_0(X2)|r1_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)|~r3_lattices(X2,X3,X1)),inference(split_conjunct,[status(thm)],[684])).
% fof(755, negated_conjecture,?[X1]:((~(v3_conlat_1(X1))&l2_conlat_1(X1))&(~(k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k5_conlat_1(X1))|~(k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1))))=k6_conlat_1(X1)))),inference(fof_nnf,[status(thm)],[182])).
% fof(756, negated_conjecture,?[X2]:((~(v3_conlat_1(X2))&l2_conlat_1(X2))&(~(k3_conlat_2(X2,k2_subset_1(u1_struct_0(k11_conlat_1(X2))))=k5_conlat_1(X2))|~(k2_conlat_2(X2,k2_subset_1(u1_struct_0(k11_conlat_1(X2))))=k6_conlat_1(X2)))),inference(variable_rename,[status(thm)],[755])).
% fof(757, negated_conjecture,((~(v3_conlat_1(esk36_0))&l2_conlat_1(esk36_0))&(~(k3_conlat_2(esk36_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk36_0))))=k5_conlat_1(esk36_0))|~(k2_conlat_2(esk36_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk36_0))))=k6_conlat_1(esk36_0)))),inference(skolemize,[status(esa)],[756])).
% cnf(758,negated_conjecture,(k2_conlat_2(esk36_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk36_0))))!=k6_conlat_1(esk36_0)|k3_conlat_2(esk36_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk36_0))))!=k5_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[757])).
% cnf(759,negated_conjecture,(l2_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[757])).
% cnf(760,negated_conjecture,(~v3_conlat_1(esk36_0)),inference(split_conjunct,[status(thm)],[757])).
% cnf(761,plain,(m1_subset_1(X1,k1_zfmisc_1(X1))),inference(rw,[status(thm)],[379,184,theory(equality)]),['unfolding']).
% cnf(762,negated_conjecture,(k2_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)|k3_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k5_conlat_1(esk36_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[758,184,theory(equality)]),184,theory(equality)]),['unfolding']).
% cnf(770,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_lattices(X1)),inference(spm,[status(thm)],[338,614,theory(equality)])).
% cnf(828,plain,(v3_struct_0(k11_conlat_1(X1))|m1_subset_1(k3_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[356,204,theory(equality)])).
% cnf(837,plain,(k6_lattices(k11_conlat_1(X1))=k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|~m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_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)],[204,647,theory(equality)])).
% cnf(839,plain,(k6_lattices(k11_conlat_1(X1))=k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|$false|~l2_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))),inference(rw,[status(thm)],[837,761,theory(equality)])).
% cnf(840,plain,(k6_lattices(k11_conlat_1(X1))=k3_conlat_2(X1,u1_struct_0(k11_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(cn,[status(thm)],[839,theory(equality)])).
% cnf(880,plain,(v3_struct_0(X1)|r2_hidden(X2,a_2_1_lattice3(X1,X3))|~r3_lattice3(X1,X2,X3)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(er,[status(thm)],[461,theory(equality)])).
% cnf(893,plain,(r3_lattice3(X1,k16_lattice3(X1,X2),X2)|v3_struct_0(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))),inference(er,[status(thm)],[571,theory(equality)])).
% cnf(905,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|~v1_xboole_0(X3)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[418,609,theory(equality)])).
% cnf(932,plain,(r1_lattices(X1,esk24_3(X2,X1,X3),X4)|v3_struct_0(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(esk24_3(X2,X1,X3),u1_struct_0(X1))|~r2_hidden(X2,a_2_1_lattice3(X1,X3))),inference(spm,[status(thm)],[611,458,theory(equality)])).
% cnf(935,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)],[278,311,theory(equality)])).
% cnf(936,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)],[306,196,theory(equality)])).
% cnf(937,plain,(r3_lattices(k11_conlat_1(X1),X2,X3)|v3_conlat_1(X1)|~r2_conlat_1(X1,X2,k12_conlat_1(X1,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)],[306,196,theory(equality)])).
% cnf(941,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)],[307,196,theory(equality)])).
% cnf(943,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v9_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)|~r3_lattices(X1,X2,esk34_3(X1,X2,X3))|~m1_subset_1(esk34_3(X1,X2,X3),u1_struct_0(X1))),inference(spm,[status(thm)],[608,686,theory(equality)])).
% cnf(946,plain,(r1_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|k16_lattice3(X1,X3)=X2|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(esk33_3(X1,X2,X3),u1_struct_0(X1))|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v10_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[611,569,theory(equality)])).
% cnf(1005,plain,(v3_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l3_lattices(X1)),inference(spm,[status(thm)],[770,656,theory(equality)])).
% cnf(1316,plain,(v3_struct_0(k11_conlat_1(X1))|m1_subset_1(k3_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[828,214])).
% cnf(1317,plain,(m1_subset_1(k3_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1316,216])).
% cnf(1333,plain,(esk24_3(X1,X2,X3)=X1|v3_struct_0(X2)|~l3_lattices(X2)|~r3_lattice3(X2,X1,X3)|~m1_subset_1(X1,u1_struct_0(X2))),inference(spm,[status(thm)],[459,880,theory(equality)])).
% cnf(1352,plain,(k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_lattices(k11_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)],[840,214])).
% cnf(1353,plain,(k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_lattices(k11_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)],[1352,441])).
% cnf(1354,plain,(k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_lattices(k11_conlat_1(X1))|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1353,437])).
% cnf(1355,plain,(k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_lattices(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1354,216])).
% cnf(1356,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[762,1355,theory(equality)])).
% cnf(1360,plain,(m1_subset_1(k6_lattices(k11_conlat_1(X1)),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[1317,1355,theory(equality)])).
% cnf(1361,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|$false),inference(rw,[status(thm)],[1356,759,theory(equality)])).
% cnf(1362,negated_conjecture,(v3_conlat_1(esk36_0)|k2_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)),inference(cn,[status(thm)],[1361,theory(equality)])).
% cnf(1363,negated_conjecture,(k2_conlat_2(esk36_0,u1_struct_0(k11_conlat_1(esk36_0)))!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)),inference(sr,[status(thm)],[1362,760,theory(equality)])).
% cnf(1370,plain,(m1_subset_1(k6_lattices(k11_conlat_1(X1)),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|$false|~l2_conlat_1(X1)),inference(rw,[status(thm)],[1360,761,theory(equality)])).
% cnf(1371,plain,(m1_subset_1(k6_lattices(k11_conlat_1(X1)),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(cn,[status(thm)],[1370,theory(equality)])).
% cnf(1384,plain,(m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(spm,[status(thm)],[1371,191,theory(equality)])).
% cnf(1402,plain,(v7_conlat_1(k6_conlat_1(X1),X1)|m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~v6_conlat_1(k6_conlat_1(X1),X1)|~l3_conlat_1(k6_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(spm,[status(thm)],[935,299,theory(equality)])).
% cnf(1427,plain,(v7_conlat_1(k6_conlat_1(X1),X1)|m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~v6_conlat_1(k6_conlat_1(X1),X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1402,297])).
% cnf(1428,plain,(v7_conlat_1(k6_conlat_1(X1),X1)|m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1427,301])).
% cnf(1429,plain,(m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[1428,300])).
% cnf(1556,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)],[936,196,theory(equality)])).
% cnf(1557,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)],[936,258,theory(equality)])).
% cnf(1559,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,esk33_3(k11_conlat_1(X1),X3,X2),X3)|~m1_subset_1(esk33_3(k11_conlat_1(X1),X3,X2),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[568,1556,theory(equality)])).
% cnf(1562,plain,(r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|v7_conlat_1(k12_conlat_1(X1,X2),X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(k6_conlat_1(X1),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)],[937,257,theory(equality)])).
% cnf(1636,plain,(r3_lattice3(X1,k16_lattice3(X1,X2),X2)|v3_struct_0(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)),inference(csr,[status(thm)],[893,359])).
% cnf(1890,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)],[941,196,theory(equality)])).
% cnf(2020,plain,(r1_lattices(X1,esk24_3(X2,X1,X3),X4)|v3_struct_0(X1)|~l3_lattices(X1)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))),inference(csr,[status(thm)],[932,460])).
% cnf(2021,plain,(r3_lattice3(X1,esk24_3(X2,X1,X3),X4)|v3_struct_0(X1)|~l3_lattices(X1)|~m1_subset_1(esk24_3(X2,X1,X3),u1_struct_0(X1))|~r2_hidden(X2,a_2_1_lattice3(X1,X3))|~r2_hidden(esk34_3(X1,esk24_3(X2,X1,X3),X4),X3)|~m1_subset_1(esk34_3(X1,esk24_3(X2,X1,X3),X4),u1_struct_0(X1))),inference(spm,[status(thm)],[608,2020,theory(equality)])).
% cnf(2040,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|~v9_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)|~r3_lattices(X1,X2,esk34_3(X1,X2,X3))|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[943,610])).
% cnf(2041,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v9_lattices(k11_conlat_1(X1))|~v8_lattices(k11_conlat_1(X1))|~v6_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(esk34_3(k11_conlat_1(X1),X2,X3),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[2040,1556,theory(equality)])).
% cnf(2072,plain,(k16_lattice3(X1,X3)=X2|r1_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))),inference(csr,[status(thm)],[946,570])).
% cnf(2074,plain,(r3_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|k16_lattice3(X1,X3)=X2|~v9_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(esk33_3(X1,X2,X3),u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v10_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[685,2072,theory(equality)])).
% cnf(17668,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)],[1557,400])).
% cnf(17669,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)],[17668,399])).
% cnf(17670,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)],[17669,1384])).
% cnf(17671,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)],[17670,401])).
% cnf(17674,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)],[1890,17671,theory(equality)])).
% cnf(17675,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)],[17674,1384])).
% cnf(17943,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,esk33_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)],[1559,570])).
% cnf(17944,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,esk33_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)],[17943,214])).
% cnf(17945,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,esk33_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)],[17944,441])).
% cnf(17946,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,esk33_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)],[17945,437])).
% cnf(17947,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,esk33_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)],[17946,216])).
% cnf(17949,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(esk33_3(k11_conlat_1(X1),k5_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[17947,17675,theory(equality)])).
% cnf(17955,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(esk33_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)],[17949,1384])).
% cnf(17956,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)],[17955,570,theory(equality)])).
% cnf(17957,plain,(r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)|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(k6_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)],[1562,400])).
% cnf(17958,plain,(r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v7_conlat_1(k12_conlat_1(X1,X2),X1)|v3_conlat_1(X1)|~m1_subset_1(k6_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)],[17957,399])).
% cnf(17959,plain,(r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)|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)],[17958,1429])).
% cnf(17960,plain,(r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17959,401])).
% cnf(17962,plain,(r2_conlat_1(X1,k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[1890,17960,theory(equality)])).
% cnf(17964,plain,(r2_conlat_1(X1,k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[17962,1429])).
% cnf(25692,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)],[17956,1384])).
% cnf(25693,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)],[25692,214])).
% cnf(25694,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)],[25693,441])).
% cnf(25695,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)],[25694,437])).
% cnf(25696,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)],[25695,216])).
% cnf(25697,plain,(k16_lattice3(k11_conlat_1(X1),X2)=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))|~v1_xboole_0(X2)|~m1_subset_1(k5_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[25696,905,theory(equality)])).
% cnf(26417,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l3_lattices(k11_conlat_1(X1))|~v1_xboole_0(X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[25697,1384])).
% cnf(26418,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v1_xboole_0(X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[26417,214])).
% cnf(26419,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|~v1_xboole_0(X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[26418,216])).
% cnf(26428,plain,(k5_conlat_1(X1)=k2_conlat_2(X1,X2)|v3_conlat_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)|~v1_xboole_0(X2)),inference(spm,[status(thm)],[200,26419,theory(equality)])).
% cnf(26567,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|~m1_subset_1(u1_struct_0(k11_conlat_1(esk36_0)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(esk36_0))))|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[1363,26428,theory(equality)])).
% cnf(26581,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|$false|~l2_conlat_1(esk36_0)),inference(rw,[status(thm)],[26567,761,theory(equality)])).
% cnf(26582,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|$false|$false),inference(rw,[status(thm)],[26581,759,theory(equality)])).
% cnf(26583,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(cn,[status(thm)],[26582,theory(equality)])).
% cnf(26584,negated_conjecture,(k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(sr,[status(thm)],[26583,760,theory(equality)])).
% cnf(26585,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[26584,191,theory(equality)])).
% cnf(26586,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|$false),inference(rw,[status(thm)],[26585,759,theory(equality)])).
% cnf(26587,negated_conjecture,(v3_conlat_1(esk36_0)|k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(cn,[status(thm)],[26586,theory(equality)])).
% cnf(26588,negated_conjecture,(k5_conlat_1(esk36_0)!=k6_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(sr,[status(thm)],[26587,760,theory(equality)])).
% cnf(27840,plain,(r3_lattice3(X1,esk24_3(X2,X1,X3),X4)|v3_struct_0(X1)|~l3_lattices(X1)|~r2_hidden(esk34_3(X1,esk24_3(X2,X1,X3),X4),X3)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))|~m1_subset_1(esk24_3(X2,X1,X3),u1_struct_0(X1))),inference(csr,[status(thm)],[2021,610])).
% cnf(27841,plain,(r3_lattice3(X1,esk24_3(X2,X1,X3),X4)|v3_struct_0(X1)|~l3_lattices(X1)|~r2_hidden(esk34_3(X1,esk24_3(X2,X1,X3),X4),X3)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))),inference(csr,[status(thm)],[27840,460])).
% cnf(27858,plain,(r3_lattice3(X1,X2,X4)|v3_struct_0(X1)|~l3_lattices(X1)|~r2_hidden(esk34_3(X1,X2,X4),X3)|~r2_hidden(X2,a_2_1_lattice3(X1,X3))|~r3_lattice3(X1,X2,X3)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[27841,1333,theory(equality)])).
% cnf(27890,plain,(r3_lattice3(X1,X2,X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~l3_lattices(X1)|~r2_hidden(esk34_3(X1,X2,X4),X3)|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[27858,880])).
% cnf(27893,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|v1_xboole_0(X4)|~r3_lattice3(X1,X2,X4)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(esk34_3(X1,X2,X3),X4)),inference(spm,[status(thm)],[27890,527,theory(equality)])).
% cnf(27907,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|v1_xboole_0(u1_struct_0(X1))|~r3_lattice3(X1,X2,u1_struct_0(X1))|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(spm,[status(thm)],[27893,610,theory(equality)])).
% cnf(27989,plain,(r3_lattice3(X1,X2,X3)|v3_struct_0(X1)|~r3_lattice3(X1,X2,u1_struct_0(X1))|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[27907,1005])).
% cnf(27998,plain,(r3_lattice3(X1,k16_lattice3(X1,u1_struct_0(X1)),X2)|v3_struct_0(X1)|~l3_lattices(X1)|~m1_subset_1(k16_lattice3(X1,u1_struct_0(X1)),u1_struct_0(X1))|~v4_lattice3(X1)|~v10_lattices(X1)),inference(spm,[status(thm)],[27989,1636,theory(equality)])).
% cnf(28044,plain,(r3_lattice3(X1,k16_lattice3(X1,u1_struct_0(X1)),X2)|v3_struct_0(X1)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)),inference(csr,[status(thm)],[27998,359])).
% cnf(28049,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[28044,200,theory(equality)])).
% cnf(28052,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|$false|~l2_conlat_1(X1)),inference(rw,[status(thm)],[28049,761,theory(equality)])).
% cnf(28053,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~v10_lattices(k11_conlat_1(X1))|~l3_lattices(k11_conlat_1(X1))|~l2_conlat_1(X1)),inference(cn,[status(thm)],[28052,theory(equality)])).
% cnf(28075,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|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)],[28053,214])).
% cnf(28076,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|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)],[28075,441])).
% cnf(28077,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28076,437])).
% cnf(28078,plain,(r3_lattice3(k11_conlat_1(X1),k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))),X2)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28077,216])).
% cnf(28083,plain,(r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|v3_conlat_1(X1)|~l2_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|~m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))),inference(spm,[status(thm)],[28078,26428,theory(equality)])).
% cnf(28085,plain,(r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|v3_conlat_1(X1)|~l2_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|$false),inference(rw,[status(thm)],[28083,761,theory(equality)])).
% cnf(28086,plain,(r3_lattice3(k11_conlat_1(X1),k5_conlat_1(X1),X2)|v3_conlat_1(X1)|~l2_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))),inference(cn,[status(thm)],[28085,theory(equality)])).
% cnf(28093,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k5_conlat_1(X1)|v3_conlat_1(X1)|~l2_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[25696,28086,theory(equality)])).
% cnf(28267,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v9_lattices(k11_conlat_1(X1))|~v8_lattices(k11_conlat_1(X1))|~v6_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[2041,610])).
% cnf(28268,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v9_lattices(k11_conlat_1(X1))|~v8_lattices(k11_conlat_1(X1))|~v6_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28267,214])).
% cnf(28269,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v9_lattices(k11_conlat_1(X1))|~v8_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28268,445])).
% cnf(28270,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v9_lattices(k11_conlat_1(X1))|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28269,443])).
% cnf(28271,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28270,442])).
% cnf(28272,plain,(r3_lattice3(k11_conlat_1(X1),X2,X3)|v3_conlat_1(X1)|~r2_conlat_1(X1,X2,esk34_3(k11_conlat_1(X1),X2,X3))|~m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28271,216])).
% cnf(28281,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)|~m1_subset_1(esk34_3(k11_conlat_1(X1),k6_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[28272,17964,theory(equality)])).
% cnf(28282,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~m1_subset_1(esk34_3(k11_conlat_1(X1),k6_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28281,1429])).
% cnf(28291,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|~l2_conlat_1(X1)|~l3_lattices(k11_conlat_1(X1))|~m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))),inference(spm,[status(thm)],[28282,610,theory(equality)])).
% cnf(28294,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|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)],[28291,1429])).
% cnf(28295,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28294,214])).
% cnf(28296,plain,(r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28295,216])).
% cnf(28621,plain,(k16_lattice3(X1,X3)=X2|r3_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v9_lattices(X1)|~v8_lattices(X1)|~v6_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[2074,570])).
% cnf(28622,plain,(k16_lattice3(X1,X3)=X2|r3_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v9_lattices(X1)|~v8_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[28621,369])).
% cnf(28623,plain,(k16_lattice3(X1,X3)=X2|r3_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v9_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[28622,367])).
% cnf(28624,plain,(k16_lattice3(X1,X3)=X2|r3_lattices(X1,esk33_3(X1,X2,X3),X4)|v3_struct_0(X1)|~r3_lattice3(X1,X2,X3)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~r2_hidden(X4,X3)|~m1_subset_1(X4,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))),inference(csr,[status(thm)],[28623,366])).
% cnf(28628,plain,(k16_lattice3(X1,X2)=X3|v3_struct_0(X1)|~r3_lattice3(X1,X3,X2)|~v4_lattice3(X1)|~v10_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~r2_hidden(X3,X2)),inference(spm,[status(thm)],[568,28624,theory(equality)])).
% cnf(28636,plain,(k16_lattice3(k11_conlat_1(X1),X2)=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))|~l3_lattices(k11_conlat_1(X1))|~r2_hidden(k6_conlat_1(X1),X2)|~m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[28628,28296,theory(equality)])).
% cnf(44189,plain,(k16_lattice3(k11_conlat_1(X1),X2)=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))|~l3_lattices(k11_conlat_1(X1))|~r2_hidden(k6_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[28636,1429])).
% cnf(44190,plain,(k16_lattice3(k11_conlat_1(X1),X2)=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))|~r2_hidden(k6_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[44189,214])).
% cnf(44191,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k6_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~v4_lattice3(k11_conlat_1(X1))|~r2_hidden(k6_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[44190,441])).
% cnf(44192,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k6_conlat_1(X1)|v3_struct_0(k11_conlat_1(X1))|v3_conlat_1(X1)|~r2_hidden(k6_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[44191,437])).
% cnf(44193,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k6_conlat_1(X1)|v3_conlat_1(X1)|~r2_hidden(k6_conlat_1(X1),X2)|~l2_conlat_1(X1)),inference(csr,[status(thm)],[44192,216])).
% cnf(44195,plain,(k16_lattice3(k11_conlat_1(X1),X2)=k6_conlat_1(X1)|v3_conlat_1(X1)|v1_xboole_0(X2)|~l2_conlat_1(X1)|~m1_subset_1(k6_conlat_1(X1),X2)),inference(spm,[status(thm)],[44193,527,theory(equality)])).
% cnf(44210,plain,(k6_conlat_1(X1)=k2_conlat_2(X1,X2)|v3_conlat_1(X1)|v1_xboole_0(X2)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)|~m1_subset_1(k6_conlat_1(X1),X2)),inference(spm,[status(thm)],[200,44195,theory(equality)])).
% cnf(44215,plain,(k6_conlat_1(X1)=k5_conlat_1(X1)|v3_conlat_1(X1)|v1_xboole_0(X2)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)|~m1_subset_1(k6_conlat_1(X1),X2)),inference(spm,[status(thm)],[28093,44195,theory(equality)])).
% cnf(44228,plain,(k5_conlat_1(X1)=k6_conlat_1(X1)|v1_xboole_0(k1_zfmisc_1(k6_conlat_1(X1)))|v3_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[44215,761,theory(equality)])).
% cnf(44231,plain,(k5_conlat_1(X1)=k6_conlat_1(X1)|v3_conlat_1(X1)|~v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|~l2_conlat_1(X1)),inference(sr,[status(thm)],[44228,429,theory(equality)])).
% cnf(44232,negated_conjecture,(v3_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[26588,44231,theory(equality)])).
% cnf(44281,negated_conjecture,(v3_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|$false),inference(rw,[status(thm)],[44232,759,theory(equality)])).
% cnf(44282,negated_conjecture,(v3_conlat_1(esk36_0)|~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(cn,[status(thm)],[44281,theory(equality)])).
% cnf(44283,negated_conjecture,(~v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))),inference(sr,[status(thm)],[44282,760,theory(equality)])).
% cnf(44491,plain,(k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_conlat_1(X1)|v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))|~l2_conlat_1(X1)),inference(spm,[status(thm)],[44210,1429,theory(equality)])).
% cnf(44494,plain,(k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_conlat_1(X1)|v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|$false|~l2_conlat_1(X1)),inference(rw,[status(thm)],[44491,761,theory(equality)])).
% cnf(44495,plain,(k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1)))=k6_conlat_1(X1)|v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))|v3_conlat_1(X1)|~l2_conlat_1(X1)),inference(cn,[status(thm)],[44494,theory(equality)])).
% cnf(44499,negated_conjecture,(v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|v3_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[1363,44495,theory(equality)])).
% cnf(44528,negated_conjecture,(v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|v3_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)|$false),inference(rw,[status(thm)],[44499,759,theory(equality)])).
% cnf(44529,negated_conjecture,(v1_xboole_0(u1_struct_0(k11_conlat_1(esk36_0)))|v3_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)),inference(cn,[status(thm)],[44528,theory(equality)])).
% cnf(44530,negated_conjecture,(v3_conlat_1(esk36_0)|k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)),inference(sr,[status(thm)],[44529,44283,theory(equality)])).
% cnf(44531,negated_conjecture,(k6_lattices(k11_conlat_1(esk36_0))!=k5_conlat_1(esk36_0)),inference(sr,[status(thm)],[44530,760,theory(equality)])).
% cnf(44586,negated_conjecture,(v3_conlat_1(esk36_0)|~l2_conlat_1(esk36_0)),inference(spm,[status(thm)],[44531,191,theory(equality)])).
% cnf(44587,negated_conjecture,(v3_conlat_1(esk36_0)|$false),inference(rw,[status(thm)],[44586,759,theory(equality)])).
% cnf(44588,negated_conjecture,(v3_conlat_1(esk36_0)),inference(cn,[status(thm)],[44587,theory(equality)])).
% cnf(44589,negated_conjecture,($false),inference(sr,[status(thm)],[44588,760,theory(equality)])).
% cnf(44590,negated_conjecture,($false),44589,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4310
% # ...of these trivial : 4
% # ...subsumed : 2647
% # ...remaining for further processing: 1659
% # Other redundant clauses eliminated : 6
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 70
% # Backward-rewritten : 14
% # Generated clauses : 33761
% # ...of the previous two non-trivial : 32409
% # Contextual simplify-reflections : 3076
% # Paramodulations : 33515
% # Factorizations : 44
% # Equation resolutions : 166
% # Current number of processed clauses: 1558
% # Positive orientable unit clauses: 69
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 16
% # Non-unit-clauses : 1473
% # Current number of unprocessed clauses: 27004
% # ...number of literals in the above : 163532
% # Clause-clause subsumption calls (NU) : 273717
% # Rec. Clause-clause subsumption calls : 73270
% # Unit Clause-clause subsumption calls : 5120
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 36
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 1196 leaves, 1.76+/-2.496 terms/leaf
% # Paramod-from index: 474 leaves, 1.36+/-1.225 terms/leaf
% # Paramod-into index: 1038 leaves, 1.60+/-2.152 terms/leaf
% # -------------------------------------------------
% # User time : 2.066 s
% # System time : 0.051 s
% # Total time : 2.117 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.95 CPU 3.20 WC
% FINAL PrfWatch: 2.95 CPU 3.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP22313/LAT340+1.tptp
%
%------------------------------------------------------------------------------