TSTP Solution File: LAT331+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LAT331+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 11:08:07 EST 2010
% Result : Theorem 3.27s
% Output : Solution 3.27s
% 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/SystemOnTPTP20638/LAT331+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20638/LAT331+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20638/LAT331+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 20734
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.025 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.92 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:((((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&m1_filter_0(X2,X1))=>((~(v3_struct_0(k8_filter_0(X1,X2)))&v10_lattices(k8_filter_0(X1,X2)))&l3_lattices(k8_filter_0(X1,X2)))),file('/tmp/SRASS.s.p', dt_k8_filter_0)).
% fof(5, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_filter_2(X2,X1)<=>m1_filter_0(X2,X1))),file('/tmp/SRASS.s.p', redefinition_m1_filter_2)).
% fof(10, axiom,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_filter_0(X2,X1)=>![X3]:(((~(v3_struct_0(X3))&v10_lattices(X3))&l3_lattices(X3))=>(X3=k8_filter_0(X1,X2)<=>?[X4]:(((v1_funct_1(X4)&v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2))&?[X5]:(((((v1_funct_1(X5)&v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2))&X4=k1_realset1(u2_lattices(X1),X2))&X5=k1_realset1(u1_lattices(X1),X2))&X3=g3_lattices(X2,X4,X5))))))),file('/tmp/SRASS.s.p', d10_filter_0)).
% fof(23, axiom,![X1]:![X2]:![X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1))=>![X4]:![X5]:![X6]:(g3_lattices(X1,X2,X3)=g3_lattices(X4,X5,X6)=>((X1=X4&X2=X5)&X3=X6))),file('/tmp/SRASS.s.p', free_g3_lattices)).
% fof(25, axiom,![X1]:(l1_lattices(X1)=>((v1_funct_1(u1_lattices(X1))&v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),file('/tmp/SRASS.s.p', dt_u1_lattices)).
% fof(26, axiom,![X1]:(l2_lattices(X1)=>((v1_funct_1(u2_lattices(X1))&v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),file('/tmp/SRASS.s.p', dt_u2_lattices)).
% fof(46, axiom,![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(56, axiom,![X1]:![X2]:![X3]:(m2_relset_1(X3,X1,X2)<=>m1_relset_1(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(78, conjecture,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))=>![X3]:(m1_filter_2(X3,X1)=>![X4]:(m1_filter_2(X4,X2)=>((g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))=g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))&X3=X4)=>k8_filter_0(X1,X3)=k8_filter_0(X2,X4)))))),file('/tmp/SRASS.s.p', t68_filter_2)).
% fof(79, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))=>![X3]:(m1_filter_2(X3,X1)=>![X4]:(m1_filter_2(X4,X2)=>((g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))=g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))&X3=X4)=>k8_filter_0(X1,X3)=k8_filter_0(X2,X4))))))),inference(assume_negation,[status(cth)],[78])).
% fof(81, plain,![X1]:![X2]:((((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&m1_filter_0(X2,X1))=>((~(v3_struct_0(k8_filter_0(X1,X2)))&v10_lattices(k8_filter_0(X1,X2)))&l3_lattices(k8_filter_0(X1,X2)))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(82, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_filter_2(X2,X1)<=>m1_filter_0(X2,X1))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(87, plain,![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(m1_filter_0(X2,X1)=>![X3]:(((~(v3_struct_0(X3))&v10_lattices(X3))&l3_lattices(X3))=>(X3=k8_filter_0(X1,X2)<=>?[X4]:(((v1_funct_1(X4)&v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2))&?[X5]:(((((v1_funct_1(X5)&v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2))&X4=k1_realset1(u2_lattices(X1),X2))&X5=k1_realset1(u1_lattices(X1),X2))&X3=g3_lattices(X2,X4,X5))))))),inference(fof_simplification,[status(thm)],[10,theory(equality)])).
% fof(108, negated_conjecture,~(![X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>![X2]:(((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))=>![X3]:(m1_filter_2(X3,X1)=>![X4]:(m1_filter_2(X4,X2)=>((g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))=g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))&X3=X4)=>k8_filter_0(X1,X3)=k8_filter_0(X2,X4))))))),inference(fof_simplification,[status(thm)],[79,theory(equality)])).
% fof(119, plain,![X1]:![X2]:((((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|~(m1_filter_0(X2,X1)))|((~(v3_struct_0(k8_filter_0(X1,X2)))&v10_lattices(k8_filter_0(X1,X2)))&l3_lattices(k8_filter_0(X1,X2)))),inference(fof_nnf,[status(thm)],[81])).
% fof(120, plain,![X3]:![X4]:((((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|~(m1_filter_0(X4,X3)))|((~(v3_struct_0(k8_filter_0(X3,X4)))&v10_lattices(k8_filter_0(X3,X4)))&l3_lattices(k8_filter_0(X3,X4)))),inference(variable_rename,[status(thm)],[119])).
% fof(121, plain,![X3]:![X4]:(((~(v3_struct_0(k8_filter_0(X3,X4)))|(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|~(m1_filter_0(X4,X3))))&(v10_lattices(k8_filter_0(X3,X4))|(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|~(m1_filter_0(X4,X3)))))&(l3_lattices(k8_filter_0(X3,X4))|(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|~(m1_filter_0(X4,X3))))),inference(distribute,[status(thm)],[120])).
% cnf(122,plain,(v3_struct_0(X2)|l3_lattices(k8_filter_0(X2,X1))|~m1_filter_0(X1,X2)|~l3_lattices(X2)|~v10_lattices(X2)),inference(split_conjunct,[status(thm)],[121])).
% cnf(123,plain,(v3_struct_0(X2)|v10_lattices(k8_filter_0(X2,X1))|~m1_filter_0(X1,X2)|~l3_lattices(X2)|~v10_lattices(X2)),inference(split_conjunct,[status(thm)],[121])).
% cnf(124,plain,(v3_struct_0(X2)|~m1_filter_0(X1,X2)|~l3_lattices(X2)|~v10_lattices(X2)|~v3_struct_0(k8_filter_0(X2,X1))),inference(split_conjunct,[status(thm)],[121])).
% fof(125, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:((~(m1_filter_2(X2,X1))|m1_filter_0(X2,X1))&(~(m1_filter_0(X2,X1))|m1_filter_2(X2,X1)))),inference(fof_nnf,[status(thm)],[82])).
% fof(126, plain,![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|![X4]:((~(m1_filter_2(X4,X3))|m1_filter_0(X4,X3))&(~(m1_filter_0(X4,X3))|m1_filter_2(X4,X3)))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X3]:![X4]:(((~(m1_filter_2(X4,X3))|m1_filter_0(X4,X3))&(~(m1_filter_0(X4,X3))|m1_filter_2(X4,X3)))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))),inference(shift_quantors,[status(thm)],[126])).
% fof(128, plain,![X3]:![X4]:(((~(m1_filter_2(X4,X3))|m1_filter_0(X4,X3))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))&((~(m1_filter_0(X4,X3))|m1_filter_2(X4,X3))|((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3))))),inference(distribute,[status(thm)],[127])).
% cnf(130,plain,(v3_struct_0(X1)|m1_filter_0(X2,X1)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_filter_2(X2,X1)),inference(split_conjunct,[status(thm)],[128])).
% fof(150, plain,![X1]:(((v3_struct_0(X1)|~(v10_lattices(X1)))|~(l3_lattices(X1)))|![X2]:(~(m1_filter_0(X2,X1))|![X3]:(((v3_struct_0(X3)|~(v10_lattices(X3)))|~(l3_lattices(X3)))|((~(X3=k8_filter_0(X1,X2))|?[X4]:(((v1_funct_1(X4)&v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2))&?[X5]:(((((v1_funct_1(X5)&v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2))&m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2))&X4=k1_realset1(u2_lattices(X1),X2))&X5=k1_realset1(u1_lattices(X1),X2))&X3=g3_lattices(X2,X4,X5))))&(![X4]:(((~(v1_funct_1(X4))|~(v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)))|~(m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)))|![X5]:(((((~(v1_funct_1(X5))|~(v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)))|~(m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)))|~(X4=k1_realset1(u2_lattices(X1),X2)))|~(X5=k1_realset1(u1_lattices(X1),X2)))|~(X3=g3_lattices(X2,X4,X5))))|X3=k8_filter_0(X1,X2)))))),inference(fof_nnf,[status(thm)],[87])).
% fof(151, plain,![X6]:(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|![X7]:(~(m1_filter_0(X7,X6))|![X8]:(((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8)))|((~(X8=k8_filter_0(X6,X7))|?[X9]:(((v1_funct_1(X9)&v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7))&m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7))&?[X10]:(((((v1_funct_1(X10)&v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7))&m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7))&X9=k1_realset1(u2_lattices(X6),X7))&X10=k1_realset1(u1_lattices(X6),X7))&X8=g3_lattices(X7,X9,X10))))&(![X11]:(((~(v1_funct_1(X11))|~(v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)))|![X12]:(((((~(v1_funct_1(X12))|~(v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)))|~(X11=k1_realset1(u2_lattices(X6),X7)))|~(X12=k1_realset1(u1_lattices(X6),X7)))|~(X8=g3_lattices(X7,X11,X12))))|X8=k8_filter_0(X6,X7)))))),inference(variable_rename,[status(thm)],[150])).
% fof(152, plain,![X6]:(((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))|![X7]:(~(m1_filter_0(X7,X6))|![X8]:(((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8)))|((~(X8=k8_filter_0(X6,X7))|(((v1_funct_1(esk6_3(X6,X7,X8))&v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&(((((v1_funct_1(esk7_3(X6,X7,X8))&v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&esk6_3(X6,X7,X8)=k1_realset1(u2_lattices(X6),X7))&esk7_3(X6,X7,X8)=k1_realset1(u1_lattices(X6),X7))&X8=g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8)))))&(![X11]:(((~(v1_funct_1(X11))|~(v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)))|![X12]:(((((~(v1_funct_1(X12))|~(v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)))|~(X11=k1_realset1(u2_lattices(X6),X7)))|~(X12=k1_realset1(u1_lattices(X6),X7)))|~(X8=g3_lattices(X7,X11,X12))))|X8=k8_filter_0(X6,X7)))))),inference(skolemize,[status(esa)],[151])).
% fof(153, plain,![X6]:![X7]:![X8]:![X11]:![X12]:(((((((((((~(v1_funct_1(X12))|~(v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)))|~(X11=k1_realset1(u2_lattices(X6),X7)))|~(X12=k1_realset1(u1_lattices(X6),X7)))|~(X8=g3_lattices(X7,X11,X12)))|((~(v1_funct_1(X11))|~(v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7))))|X8=k8_filter_0(X6,X7))&(~(X8=k8_filter_0(X6,X7))|(((v1_funct_1(esk6_3(X6,X7,X8))&v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&(((((v1_funct_1(esk7_3(X6,X7,X8))&v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7))&esk6_3(X6,X7,X8)=k1_realset1(u2_lattices(X6),X7))&esk7_3(X6,X7,X8)=k1_realset1(u1_lattices(X6),X7))&X8=g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8))))))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))),inference(shift_quantors,[status(thm)],[152])).
% fof(154, plain,![X6]:![X7]:![X8]:![X11]:![X12]:(((((((((((~(v1_funct_1(X12))|~(v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)))|~(X11=k1_realset1(u2_lattices(X6),X7)))|~(X12=k1_realset1(u1_lattices(X6),X7)))|~(X8=g3_lattices(X7,X11,X12)))|((~(v1_funct_1(X11))|~(v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)))|~(m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7))))|X8=k8_filter_0(X6,X7))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6))))&(((((((v1_funct_1(esk6_3(X6,X7,X8))|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6))))&((((v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&((((m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&(((((((((v1_funct_1(esk7_3(X6,X7,X8))|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6))))&((((v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&((((m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&((((esk6_3(X6,X7,X8)=k1_realset1(u2_lattices(X6),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&((((esk7_3(X6,X7,X8)=k1_realset1(u1_lattices(X6),X7)|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6)))))&((((X8=g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8))|~(X8=k8_filter_0(X6,X7)))|((v3_struct_0(X8)|~(v10_lattices(X8)))|~(l3_lattices(X8))))|~(m1_filter_0(X7,X6)))|((v3_struct_0(X6)|~(v10_lattices(X6)))|~(l3_lattices(X6))))))),inference(distribute,[status(thm)],[153])).
% cnf(155,plain,(v3_struct_0(X1)|v3_struct_0(X3)|X3=g3_lattices(X2,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))|~l3_lattices(X1)|~v10_lattices(X1)|~m1_filter_0(X2,X1)|~l3_lattices(X3)|~v10_lattices(X3)|X3!=k8_filter_0(X1,X2)),inference(split_conjunct,[status(thm)],[154])).
% cnf(156,plain,(v3_struct_0(X1)|v3_struct_0(X3)|esk7_3(X1,X2,X3)=k1_realset1(u1_lattices(X1),X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_filter_0(X2,X1)|~l3_lattices(X3)|~v10_lattices(X3)|X3!=k8_filter_0(X1,X2)),inference(split_conjunct,[status(thm)],[154])).
% cnf(157,plain,(v3_struct_0(X1)|v3_struct_0(X3)|esk6_3(X1,X2,X3)=k1_realset1(u2_lattices(X1),X2)|~l3_lattices(X1)|~v10_lattices(X1)|~m1_filter_0(X2,X1)|~l3_lattices(X3)|~v10_lattices(X3)|X3!=k8_filter_0(X1,X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(210, plain,![X1]:![X2]:![X3]:((((((~(v1_funct_1(X2))|~(v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)))|~(m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)))|~(v1_funct_1(X3)))|~(v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)))|~(m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)))|![X4]:![X5]:![X6]:(~(g3_lattices(X1,X2,X3)=g3_lattices(X4,X5,X6))|((X1=X4&X2=X5)&X3=X6))),inference(fof_nnf,[status(thm)],[23])).
% fof(211, plain,![X7]:![X8]:![X9]:((((((~(v1_funct_1(X8))|~(v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)))|~(v1_funct_1(X9)))|~(v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7)))|![X10]:![X11]:![X12]:(~(g3_lattices(X7,X8,X9)=g3_lattices(X10,X11,X12))|((X7=X10&X8=X11)&X9=X12))),inference(variable_rename,[status(thm)],[210])).
% fof(212, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((~(g3_lattices(X7,X8,X9)=g3_lattices(X10,X11,X12))|((X7=X10&X8=X11)&X9=X12))|(((((~(v1_funct_1(X8))|~(v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)))|~(v1_funct_1(X9)))|~(v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7)))),inference(shift_quantors,[status(thm)],[211])).
% fof(213, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((((X7=X10|~(g3_lattices(X7,X8,X9)=g3_lattices(X10,X11,X12)))|(((((~(v1_funct_1(X8))|~(v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)))|~(v1_funct_1(X9)))|~(v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7))))&((X8=X11|~(g3_lattices(X7,X8,X9)=g3_lattices(X10,X11,X12)))|(((((~(v1_funct_1(X8))|~(v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)))|~(v1_funct_1(X9)))|~(v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7)))))&((X9=X12|~(g3_lattices(X7,X8,X9)=g3_lattices(X10,X11,X12)))|(((((~(v1_funct_1(X8))|~(v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)))|~(v1_funct_1(X9)))|~(v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)))|~(m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7))))),inference(distribute,[status(thm)],[212])).
% cnf(214,plain,(X1=X6|~m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X1)|~m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X3)|g3_lattices(X2,X3,X1)!=g3_lattices(X4,X5,X6)),inference(split_conjunct,[status(thm)],[213])).
% cnf(215,plain,(X3=X5|~m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X1)|~m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X3)|g3_lattices(X2,X3,X1)!=g3_lattices(X4,X5,X6)),inference(split_conjunct,[status(thm)],[213])).
% cnf(216,plain,(X2=X4|~m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X1)|~m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)|~v1_funct_1(X3)|g3_lattices(X2,X3,X1)!=g3_lattices(X4,X5,X6)),inference(split_conjunct,[status(thm)],[213])).
% fof(222, plain,![X1]:(~(l1_lattices(X1))|((v1_funct_1(u1_lattices(X1))&v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[25])).
% fof(223, plain,![X2]:(~(l1_lattices(X2))|((v1_funct_1(u1_lattices(X2))&v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))&m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[222])).
% fof(224, plain,![X2]:(((v1_funct_1(u1_lattices(X2))|~(l1_lattices(X2)))&(v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l1_lattices(X2))))&(m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l1_lattices(X2)))),inference(distribute,[status(thm)],[223])).
% cnf(225,plain,(m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_lattices(X1)),inference(split_conjunct,[status(thm)],[224])).
% cnf(226,plain,(v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_lattices(X1)),inference(split_conjunct,[status(thm)],[224])).
% cnf(227,plain,(v1_funct_1(u1_lattices(X1))|~l1_lattices(X1)),inference(split_conjunct,[status(thm)],[224])).
% fof(228, plain,![X1]:(~(l2_lattices(X1))|((v1_funct_1(u2_lattices(X1))&v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))&m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))),inference(fof_nnf,[status(thm)],[26])).
% fof(229, plain,![X2]:(~(l2_lattices(X2))|((v1_funct_1(u2_lattices(X2))&v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))&m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)))),inference(variable_rename,[status(thm)],[228])).
% fof(230, plain,![X2]:(((v1_funct_1(u2_lattices(X2))|~(l2_lattices(X2)))&(v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l2_lattices(X2))))&(m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))|~(l2_lattices(X2)))),inference(distribute,[status(thm)],[229])).
% cnf(231,plain,(m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l2_lattices(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(232,plain,(v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l2_lattices(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(233,plain,(v1_funct_1(u2_lattices(X1))|~l2_lattices(X1)),inference(split_conjunct,[status(thm)],[230])).
% fof(321, plain,![X1]:(~(l3_lattices(X1))|(l1_lattices(X1)&l2_lattices(X1))),inference(fof_nnf,[status(thm)],[46])).
% fof(322, plain,![X2]:(~(l3_lattices(X2))|(l1_lattices(X2)&l2_lattices(X2))),inference(variable_rename,[status(thm)],[321])).
% fof(323, plain,![X2]:((l1_lattices(X2)|~(l3_lattices(X2)))&(l2_lattices(X2)|~(l3_lattices(X2)))),inference(distribute,[status(thm)],[322])).
% cnf(324,plain,(l2_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[323])).
% cnf(325,plain,(l1_lattices(X1)|~l3_lattices(X1)),inference(split_conjunct,[status(thm)],[323])).
% fof(361, plain,![X1]:![X2]:![X3]:((~(m2_relset_1(X3,X1,X2))|m1_relset_1(X3,X1,X2))&(~(m1_relset_1(X3,X1,X2))|m2_relset_1(X3,X1,X2))),inference(fof_nnf,[status(thm)],[56])).
% fof(362, plain,![X4]:![X5]:![X6]:((~(m2_relset_1(X6,X4,X5))|m1_relset_1(X6,X4,X5))&(~(m1_relset_1(X6,X4,X5))|m2_relset_1(X6,X4,X5))),inference(variable_rename,[status(thm)],[361])).
% cnf(364,plain,(m1_relset_1(X1,X2,X3)|~m2_relset_1(X1,X2,X3)),inference(split_conjunct,[status(thm)],[362])).
% fof(440, negated_conjecture,?[X1]:(((~(v3_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))&?[X2]:(((~(v3_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))&?[X3]:(m1_filter_2(X3,X1)&?[X4]:(m1_filter_2(X4,X2)&((g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))=g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))&X3=X4)&~(k8_filter_0(X1,X3)=k8_filter_0(X2,X4))))))),inference(fof_nnf,[status(thm)],[108])).
% fof(441, negated_conjecture,?[X5]:(((~(v3_struct_0(X5))&v10_lattices(X5))&l3_lattices(X5))&?[X6]:(((~(v3_struct_0(X6))&v10_lattices(X6))&l3_lattices(X6))&?[X7]:(m1_filter_2(X7,X5)&?[X8]:(m1_filter_2(X8,X6)&((g3_lattices(u1_struct_0(X5),u2_lattices(X5),u1_lattices(X5))=g3_lattices(u1_struct_0(X6),u2_lattices(X6),u1_lattices(X6))&X7=X8)&~(k8_filter_0(X5,X7)=k8_filter_0(X6,X8))))))),inference(variable_rename,[status(thm)],[440])).
% fof(442, negated_conjecture,(((~(v3_struct_0(esk26_0))&v10_lattices(esk26_0))&l3_lattices(esk26_0))&(((~(v3_struct_0(esk27_0))&v10_lattices(esk27_0))&l3_lattices(esk27_0))&(m1_filter_2(esk28_0,esk26_0)&(m1_filter_2(esk29_0,esk27_0)&((g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))=g3_lattices(u1_struct_0(esk27_0),u2_lattices(esk27_0),u1_lattices(esk27_0))&esk28_0=esk29_0)&~(k8_filter_0(esk26_0,esk28_0)=k8_filter_0(esk27_0,esk29_0))))))),inference(skolemize,[status(esa)],[441])).
% cnf(443,negated_conjecture,(k8_filter_0(esk26_0,esk28_0)!=k8_filter_0(esk27_0,esk29_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(444,negated_conjecture,(esk28_0=esk29_0),inference(split_conjunct,[status(thm)],[442])).
% cnf(445,negated_conjecture,(g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))=g3_lattices(u1_struct_0(esk27_0),u2_lattices(esk27_0),u1_lattices(esk27_0))),inference(split_conjunct,[status(thm)],[442])).
% cnf(446,negated_conjecture,(m1_filter_2(esk29_0,esk27_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(447,negated_conjecture,(m1_filter_2(esk28_0,esk26_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(448,negated_conjecture,(l3_lattices(esk27_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(449,negated_conjecture,(v10_lattices(esk27_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(450,negated_conjecture,(~v3_struct_0(esk27_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(451,negated_conjecture,(l3_lattices(esk26_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(452,negated_conjecture,(v10_lattices(esk26_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(453,negated_conjecture,(~v3_struct_0(esk26_0)),inference(split_conjunct,[status(thm)],[442])).
% cnf(454,negated_conjecture,(m1_filter_2(esk28_0,esk27_0)),inference(rw,[status(thm)],[446,444,theory(equality)])).
% cnf(455,negated_conjecture,(k8_filter_0(esk27_0,esk28_0)!=k8_filter_0(esk26_0,esk28_0)),inference(rw,[status(thm)],[443,444,theory(equality)])).
% cnf(476,negated_conjecture,(l1_lattices(esk27_0)),inference(spm,[status(thm)],[325,448,theory(equality)])).
% cnf(482,negated_conjecture,(l2_lattices(esk27_0)),inference(spm,[status(thm)],[324,448,theory(equality)])).
% cnf(586,negated_conjecture,(m1_filter_0(esk28_0,esk27_0)|v3_struct_0(esk27_0)|~v10_lattices(esk27_0)|~l3_lattices(esk27_0)),inference(spm,[status(thm)],[130,454,theory(equality)])).
% cnf(587,negated_conjecture,(m1_filter_0(esk28_0,esk26_0)|v3_struct_0(esk26_0)|~v10_lattices(esk26_0)|~l3_lattices(esk26_0)),inference(spm,[status(thm)],[130,447,theory(equality)])).
% cnf(590,negated_conjecture,(m1_filter_0(esk28_0,esk27_0)|v3_struct_0(esk27_0)|$false|~l3_lattices(esk27_0)),inference(rw,[status(thm)],[586,449,theory(equality)])).
% cnf(591,negated_conjecture,(m1_filter_0(esk28_0,esk27_0)|v3_struct_0(esk27_0)|$false|$false),inference(rw,[status(thm)],[590,448,theory(equality)])).
% cnf(592,negated_conjecture,(m1_filter_0(esk28_0,esk27_0)|v3_struct_0(esk27_0)),inference(cn,[status(thm)],[591,theory(equality)])).
% cnf(593,negated_conjecture,(m1_filter_0(esk28_0,esk27_0)),inference(sr,[status(thm)],[592,450,theory(equality)])).
% cnf(594,negated_conjecture,(m1_filter_0(esk28_0,esk26_0)|v3_struct_0(esk26_0)|$false|~l3_lattices(esk26_0)),inference(rw,[status(thm)],[587,452,theory(equality)])).
% cnf(595,negated_conjecture,(m1_filter_0(esk28_0,esk26_0)|v3_struct_0(esk26_0)|$false|$false),inference(rw,[status(thm)],[594,451,theory(equality)])).
% cnf(596,negated_conjecture,(m1_filter_0(esk28_0,esk26_0)|v3_struct_0(esk26_0)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(597,negated_conjecture,(m1_filter_0(esk28_0,esk26_0)),inference(sr,[status(thm)],[596,453,theory(equality)])).
% cnf(648,plain,(m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l2_lattices(X1)),inference(spm,[status(thm)],[364,231,theory(equality)])).
% cnf(649,plain,(m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~l1_lattices(X1)),inference(spm,[status(thm)],[364,225,theory(equality)])).
% cnf(666,plain,(g3_lattices(X1,esk6_3(X2,X1,X3),k1_realset1(u1_lattices(X2),X1))=X3|v3_struct_0(X3)|v3_struct_0(X2)|k8_filter_0(X2,X1)!=X3|~m1_filter_0(X1,X2)|~v10_lattices(X3)|~v10_lattices(X2)|~l3_lattices(X3)|~l3_lattices(X2)),inference(spm,[status(thm)],[155,156,theory(equality)])).
% cnf(864,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X2,X4,X5)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u2_lattices(X1))|~v1_funct_1(X3)|~l2_lattices(X1)),inference(spm,[status(thm)],[216,648,theory(equality)])).
% cnf(865,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X4,X2,X5)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u2_lattices(X1))|~v1_funct_1(X3)|~l2_lattices(X1)),inference(spm,[status(thm)],[215,648,theory(equality)])).
% cnf(866,plain,(X1=X2|g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1)!=g3_lattices(X4,X5,X2)|~m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_2(u2_lattices(X3),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(u2_lattices(X3))|~v1_funct_1(X1)|~l2_lattices(X3)),inference(spm,[status(thm)],[214,648,theory(equality)])).
% cnf(1039,plain,(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1))=X3|v3_struct_0(X2)|v3_struct_0(X3)|k8_filter_0(X2,X1)!=X3|~m1_filter_0(X1,X2)|~v10_lattices(X3)|~v10_lattices(X2)|~l3_lattices(X3)|~l3_lattices(X2)),inference(spm,[status(thm)],[666,157,theory(equality)])).
% cnf(1698,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X2,X4,X5)|~l2_lattices(X1)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X3)),inference(csr,[status(thm)],[864,233])).
% cnf(1699,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X2,X4,X5)|~l2_lattices(X1)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X3)),inference(csr,[status(thm)],[1698,232])).
% cnf(1704,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X2,X3,X4)|~l2_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_lattices(X1))|~l1_lattices(X1)),inference(spm,[status(thm)],[1699,649,theory(equality)])).
% cnf(1712,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X4,X2,X5)|~l2_lattices(X1)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X3)),inference(csr,[status(thm)],[865,233])).
% cnf(1713,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3)!=g3_lattices(X4,X2,X5)|~l2_lattices(X1)|~m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(X3)),inference(csr,[status(thm)],[1712,232])).
% cnf(1718,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X2,X4)|~l2_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_lattices(X1))|~l1_lattices(X1)),inference(spm,[status(thm)],[1713,649,theory(equality)])).
% cnf(1752,plain,(X1=X2|g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1)!=g3_lattices(X4,X5,X2)|~l2_lattices(X3)|~m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_2(u2_lattices(X3),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(X1)),inference(csr,[status(thm)],[866,233])).
% cnf(1753,plain,(X1=X2|g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1)!=g3_lattices(X4,X5,X2)|~l2_lattices(X3)|~m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))|~v1_funct_1(X1)),inference(csr,[status(thm)],[1752,232])).
% cnf(1758,plain,(u1_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X4,X2)|~l2_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))|~v1_funct_1(u1_lattices(X1))|~l1_lattices(X1)),inference(spm,[status(thm)],[1753,649,theory(equality)])).
% cnf(2171,plain,(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1))=k8_filter_0(X2,X1)|v3_struct_0(k8_filter_0(X2,X1))|v3_struct_0(X2)|~m1_filter_0(X1,X2)|~v10_lattices(k8_filter_0(X2,X1))|~v10_lattices(X2)|~l3_lattices(k8_filter_0(X2,X1))|~l3_lattices(X2)),inference(er,[status(thm)],[1039,theory(equality)])).
% cnf(4173,plain,(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1))=k8_filter_0(X2,X1)|v3_struct_0(k8_filter_0(X2,X1))|v3_struct_0(X2)|~m1_filter_0(X1,X2)|~v10_lattices(k8_filter_0(X2,X1))|~v10_lattices(X2)|~l3_lattices(X2)),inference(csr,[status(thm)],[2171,122])).
% cnf(4174,plain,(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1))=k8_filter_0(X2,X1)|v3_struct_0(k8_filter_0(X2,X1))|v3_struct_0(X2)|~m1_filter_0(X1,X2)|~v10_lattices(X2)|~l3_lattices(X2)),inference(csr,[status(thm)],[4173,123])).
% cnf(4175,plain,(g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1))=k8_filter_0(X2,X1)|v3_struct_0(X2)|~m1_filter_0(X1,X2)|~v10_lattices(X2)|~l3_lattices(X2)),inference(csr,[status(thm)],[4174,124])).
% cnf(9216,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X2,X3,X4)|~l2_lattices(X1)|~l1_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))),inference(csr,[status(thm)],[1704,227])).
% cnf(9217,plain,(u1_struct_0(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X2,X3,X4)|~l2_lattices(X1)|~l1_lattices(X1)),inference(csr,[status(thm)],[9216,226])).
% cnf(9237,negated_conjecture,(u1_struct_0(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X1,X2,X3)|~l2_lattices(esk27_0)|~l1_lattices(esk27_0)),inference(spm,[status(thm)],[9217,445,theory(equality)])).
% cnf(9241,negated_conjecture,(u1_struct_0(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X1,X2,X3)|$false|~l1_lattices(esk27_0)),inference(rw,[status(thm)],[9237,482,theory(equality)])).
% cnf(9242,negated_conjecture,(u1_struct_0(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X1,X2,X3)|$false|$false),inference(rw,[status(thm)],[9241,476,theory(equality)])).
% cnf(9243,negated_conjecture,(u1_struct_0(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X1,X2,X3)),inference(cn,[status(thm)],[9242,theory(equality)])).
% cnf(12058,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X2,X4)|~l2_lattices(X1)|~l1_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))),inference(csr,[status(thm)],[1718,227])).
% cnf(12059,plain,(u2_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X2,X4)|~l2_lattices(X1)|~l1_lattices(X1)),inference(csr,[status(thm)],[12058,226])).
% cnf(14213,plain,(u1_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X4,X2)|~l2_lattices(X1)|~l1_lattices(X1)|~v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))),inference(csr,[status(thm)],[1758,227])).
% cnf(14214,plain,(u1_lattices(X1)=X2|g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))!=g3_lattices(X3,X4,X2)|~l2_lattices(X1)|~l1_lattices(X1)),inference(csr,[status(thm)],[14213,226])).
% cnf(24861,negated_conjecture,(u1_struct_0(esk27_0)=u1_struct_0(esk26_0)),inference(er,[status(thm)],[9243,theory(equality)])).
% cnf(24994,negated_conjecture,(u2_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X1,X3)|~l2_lattices(esk27_0)|~l1_lattices(esk27_0)),inference(spm,[status(thm)],[12059,24861,theory(equality)])).
% cnf(25001,negated_conjecture,(u1_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X3,X1)|~l2_lattices(esk27_0)|~l1_lattices(esk27_0)),inference(spm,[status(thm)],[14214,24861,theory(equality)])).
% cnf(25261,negated_conjecture,(g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))=g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))),inference(rw,[status(thm)],[445,24861,theory(equality)])).
% cnf(25507,negated_conjecture,(u2_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X1,X3)|$false|~l1_lattices(esk27_0)),inference(rw,[status(thm)],[24994,482,theory(equality)])).
% cnf(25508,negated_conjecture,(u2_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X1,X3)|$false|$false),inference(rw,[status(thm)],[25507,476,theory(equality)])).
% cnf(25509,negated_conjecture,(u2_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X1,X3)),inference(cn,[status(thm)],[25508,theory(equality)])).
% cnf(25528,negated_conjecture,(u1_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X3,X1)|$false|~l1_lattices(esk27_0)),inference(rw,[status(thm)],[25001,482,theory(equality)])).
% cnf(25529,negated_conjecture,(u1_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X3,X1)|$false|$false),inference(rw,[status(thm)],[25528,476,theory(equality)])).
% cnf(25530,negated_conjecture,(u1_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk27_0),u1_lattices(esk27_0))!=g3_lattices(X2,X3,X1)),inference(cn,[status(thm)],[25529,theory(equality)])).
% cnf(31506,negated_conjecture,(u2_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X2,X1,X3)),inference(rw,[status(thm)],[25509,25261,theory(equality)])).
% cnf(31507,negated_conjecture,(u2_lattices(esk27_0)=u2_lattices(esk26_0)),inference(er,[status(thm)],[31506,theory(equality)])).
% cnf(31630,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk27_0),X1))=k8_filter_0(esk27_0,X1)|v3_struct_0(esk27_0)|~m1_filter_0(X1,esk27_0)|~v10_lattices(esk27_0)|~l3_lattices(esk27_0)),inference(spm,[status(thm)],[4175,31507,theory(equality)])).
% cnf(31727,negated_conjecture,(g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk27_0))=g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))),inference(rw,[status(thm)],[25261,31507,theory(equality)])).
% cnf(32037,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk27_0),X1))=k8_filter_0(esk27_0,X1)|v3_struct_0(esk27_0)|~m1_filter_0(X1,esk27_0)|$false|~l3_lattices(esk27_0)),inference(rw,[status(thm)],[31630,449,theory(equality)])).
% cnf(32038,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk27_0),X1))=k8_filter_0(esk27_0,X1)|v3_struct_0(esk27_0)|~m1_filter_0(X1,esk27_0)|$false|$false),inference(rw,[status(thm)],[32037,448,theory(equality)])).
% cnf(32039,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk27_0),X1))=k8_filter_0(esk27_0,X1)|v3_struct_0(esk27_0)|~m1_filter_0(X1,esk27_0)),inference(cn,[status(thm)],[32038,theory(equality)])).
% cnf(32040,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk27_0),X1))=k8_filter_0(esk27_0,X1)|~m1_filter_0(X1,esk27_0)),inference(sr,[status(thm)],[32039,450,theory(equality)])).
% cnf(33329,negated_conjecture,(u1_lattices(esk27_0)=X1|g3_lattices(u1_struct_0(esk26_0),u2_lattices(esk26_0),u1_lattices(esk26_0))!=g3_lattices(X2,X3,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25530,31507,theory(equality)]),31727,theory(equality)])).
% cnf(33330,negated_conjecture,(u1_lattices(esk27_0)=u1_lattices(esk26_0)),inference(er,[status(thm)],[33329,theory(equality)])).
% cnf(43933,negated_conjecture,(g3_lattices(X1,k1_realset1(u2_lattices(esk26_0),X1),k1_realset1(u1_lattices(esk26_0),X1))=k8_filter_0(esk27_0,X1)|~m1_filter_0(X1,esk27_0)),inference(rw,[status(thm)],[32040,33330,theory(equality)])).
% cnf(43977,negated_conjecture,(k8_filter_0(esk27_0,X1)=k8_filter_0(esk26_0,X1)|v3_struct_0(esk26_0)|~m1_filter_0(X1,esk26_0)|~v10_lattices(esk26_0)|~l3_lattices(esk26_0)|~m1_filter_0(X1,esk27_0)),inference(spm,[status(thm)],[4175,43933,theory(equality)])).
% cnf(43986,negated_conjecture,(k8_filter_0(esk27_0,X1)=k8_filter_0(esk26_0,X1)|v3_struct_0(esk26_0)|~m1_filter_0(X1,esk26_0)|$false|~l3_lattices(esk26_0)|~m1_filter_0(X1,esk27_0)),inference(rw,[status(thm)],[43977,452,theory(equality)])).
% cnf(43987,negated_conjecture,(k8_filter_0(esk27_0,X1)=k8_filter_0(esk26_0,X1)|v3_struct_0(esk26_0)|~m1_filter_0(X1,esk26_0)|$false|$false|~m1_filter_0(X1,esk27_0)),inference(rw,[status(thm)],[43986,451,theory(equality)])).
% cnf(43988,negated_conjecture,(k8_filter_0(esk27_0,X1)=k8_filter_0(esk26_0,X1)|v3_struct_0(esk26_0)|~m1_filter_0(X1,esk26_0)|~m1_filter_0(X1,esk27_0)),inference(cn,[status(thm)],[43987,theory(equality)])).
% cnf(43989,negated_conjecture,(k8_filter_0(esk27_0,X1)=k8_filter_0(esk26_0,X1)|~m1_filter_0(X1,esk26_0)|~m1_filter_0(X1,esk27_0)),inference(sr,[status(thm)],[43988,453,theory(equality)])).
% cnf(44713,negated_conjecture,(~m1_filter_0(esk28_0,esk26_0)|~m1_filter_0(esk28_0,esk27_0)),inference(spm,[status(thm)],[455,43989,theory(equality)])).
% cnf(44769,negated_conjecture,($false|~m1_filter_0(esk28_0,esk27_0)),inference(rw,[status(thm)],[44713,597,theory(equality)])).
% cnf(44770,negated_conjecture,($false|$false),inference(rw,[status(thm)],[44769,593,theory(equality)])).
% cnf(44771,negated_conjecture,($false),inference(cn,[status(thm)],[44770,theory(equality)])).
% cnf(44772,negated_conjecture,($false),44771,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4709
% # ...of these trivial : 112
% # ...subsumed : 2881
% # ...remaining for further processing: 1716
% # Other redundant clauses eliminated : 7
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 143
% # Backward-rewritten : 210
% # Generated clauses : 21545
% # ...of the previous two non-trivial : 19603
% # Contextual simplify-reflections : 2776
% # Paramodulations : 21454
% # Factorizations : 0
% # Equation resolutions : 85
% # Current number of processed clauses: 1216
% # Positive orientable unit clauses: 156
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 31
% # Non-unit-clauses : 1029
% # Current number of unprocessed clauses: 10023
% # ...number of literals in the above : 70844
% # Clause-clause subsumption calls (NU) : 163463
% # Rec. Clause-clause subsumption calls : 75874
% # Unit Clause-clause subsumption calls : 2561
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1053
% # Indexed BW rewrite successes : 73
% # Backwards rewriting index: 667 leaves, 2.99+/-8.781 terms/leaf
% # Paramod-from index: 274 leaves, 2.29+/-5.883 terms/leaf
% # Paramod-into index: 560 leaves, 2.91+/-8.970 terms/leaf
% # -------------------------------------------------
% # User time : 1.495 s
% # System time : 0.045 s
% # Total time : 1.540 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.28 CPU 2.37 WC
% FINAL PrfWatch: 2.28 CPU 2.37 WC
% SZS output end Solution for /tmp/SystemOnTPTP20638/LAT331+1.tptp
%
%------------------------------------------------------------------------------