%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT295+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:44 PM UTC 2026
% Result : Theorem 2.15s 0.72s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 102 ( 15 unt; 0 def)
% Number of atoms : 466 ( 111 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 609 ( 245 ~; 229 |; 73 &)
% ( 3 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 198 ( 24 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(t8_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( m2_relset_1(u2_lattices(X1),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_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X3 = X6
& X2 = X5
& X1 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(d2_lattices,axiom,
! [X1] :
( ( l1_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
fof(redefinition_k2_binop_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X6,X2)
& m1_subset_1(X5,X1)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(d1_lattices,axiom,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(d3_lattices,axiom,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(c_0_13,plain,
! [X112,X113,X114] :
( ( m2_relset_1(X114,X112,X113)
| ~ m1_relset_1(X114,X112,X113) )
& ( m1_relset_1(X114,X112,X113)
| ~ m2_relset_1(X114,X112,X113) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_14,plain,
! [X59] :
( ( ~ l1_lattices(X59)
| m2_relset_1(u1_lattices(X59),k2_zfmisc_1(u1_struct_0(X59),u1_struct_0(X59)),u1_struct_0(X59)) )
& ( ~ l1_lattices(X59)
| v1_funct_2(u1_lattices(X59),k2_zfmisc_1(u1_struct_0(X59),u1_struct_0(X59)),u1_struct_0(X59)) )
& ( ~ l1_lattices(X59)
| v1_funct_1(u1_lattices(X59)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_filter_2]) ).
fof(c_0_16,plain,
! [X60] :
( ( ~ l2_lattices(X60)
| m2_relset_1(u2_lattices(X60),k2_zfmisc_1(u1_struct_0(X60),u1_struct_0(X60)),u1_struct_0(X60)) )
& ( ~ l2_lattices(X60)
| v1_funct_2(u2_lattices(X60),k2_zfmisc_1(u1_struct_0(X60),u1_struct_0(X60)),u1_struct_0(X60)) )
& ( ~ l2_lattices(X60)
| v1_funct_1(u2_lattices(X60)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
fof(c_0_17,plain,
! [X84,X85,X86,X87,X88,X89] :
( ( ~ m1_relset_1(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X86)
| ~ m1_relset_1(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X85)
| g3_lattices(X84,X85,X86) != g3_lattices(X87,X88,X89)
| X86 = X89 )
& ( ~ m1_relset_1(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X86)
| ~ m1_relset_1(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X85)
| g3_lattices(X84,X85,X86) != g3_lattices(X87,X88,X89)
| X85 = X88 )
& ( ~ m1_relset_1(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X86,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X86)
| ~ m1_relset_1(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_2(X85,k2_zfmisc_1(X84,X84),X84)
| ~ v1_funct_1(X85)
| g3_lattices(X84,X85,X86) != g3_lattices(X87,X88,X89)
| X84 = X87 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])]) ).
cnf(c_0_18,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( ~ 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(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
( ~ l1_lattices(X1)
| m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_26,plain,
! [X55] :
( ( ~ l3_lattices(X55)
| l2_lattices(X55) )
& ( ~ l3_lattices(X55)
| l1_lattices(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_27,negated_conjecture,
( ( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0) )
& ( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk2_0,esk5_0,esk6_0) )
& ( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0) )
& ( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0) )
& esk4_0 = esk6_0
& esk3_0 = esk5_0
& m1_subset_1(esk6_0,u1_struct_0(esk2_0))
& m1_subset_1(esk5_0,u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& l3_lattices(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_28,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_29,plain,
( ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_31,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,plain,
( ~ l2_lattices(X1)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_33,plain,
( ~ v1_funct_1(X3)
| ~ l1_lattices(X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_36,plain,
! [X1] :
( ( l1_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d2_lattices]) ).
fof(c_0_37,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X6,X2)
& m1_subset_1(X5,X1)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_binop_1]) ).
fof(c_0_38,plain,
! [X73] :
( ~ v1_xboole_0(u1_struct_0(X73))
| ~ l1_struct_0(X73)
| v3_struct_0(X73) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_39,plain,
! [X53] :
( l1_struct_0(X53)
| ~ l1_lattices(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
cnf(c_0_40,plain,
( ~ v1_funct_1(X1)
| ~ l2_lattices(X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_41,plain,
( ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_42,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,negated_conjecture,
l2_lattices(esk2_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_44,plain,
! [X30,X31,X32] :
( k2_lattices(X30,X31,X32) = k2_binop_1(u1_struct_0(X30),u1_struct_0(X30),u1_struct_0(X30),u1_lattices(X30),X31,X32)
| ~ m1_subset_1(X32,u1_struct_0(X30))
| ~ m1_subset_1(X31,u1_struct_0(X30))
| ~ l1_lattices(X30)
| v3_struct_0(X30) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_45,plain,
! [X106,X107,X108,X109,X110,X111] :
( k2_binop_1(X106,X107,X108,X109,X110,X111) = k1_binop_1(X109,X110,X111)
| ~ m1_subset_1(X111,X107)
| ~ m1_subset_1(X110,X106)
| ~ m1_relset_1(X109,k2_zfmisc_1(X106,X107),X108)
| ~ v1_funct_2(X109,k2_zfmisc_1(X106,X107),X108)
| ~ v1_funct_1(X109)
| v1_xboole_0(X107)
| v1_xboole_0(X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_46,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| u1_lattices(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_49,negated_conjecture,
( ~ l1_lattices(esk2_0)
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk2_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_50,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_1(X3)
| k2_binop_1(X1,X2,X4,X3,X5,X6) = k1_binop_1(X3,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( ~ l1_lattices(esk2_0)
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| u1_lattices(esk2_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_42]),c_0_43])]) ).
cnf(c_0_54,negated_conjecture,
( ~ l1_lattices(esk2_0)
| u1_struct_0(esk2_0) = u1_struct_0(esk1_0) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_56,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1)
| k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_24]),c_0_23]),c_0_25]),c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( ~ l1_lattices(esk2_0)
| u1_lattices(esk2_0) = u1_lattices(esk1_0) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_60,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_35])]) ).
fof(c_0_61,plain,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d1_lattices]) ).
fof(c_0_62,plain,
! [X54] :
( l1_struct_0(X54)
| ~ l2_lattices(X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])])]) ).
cnf(c_0_63,plain,
( ~ v1_funct_1(X1)
| ~ l1_lattices(X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| g3_lattices(u1_struct_0(X3),X1,u1_lattices(X3)) != g3_lattices(X4,X2,X5)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_64,negated_conjecture,
( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_66,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_67,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ l1_lattices(esk2_0)
| k1_binop_1(u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),c_0_60]) ).
cnf(c_0_68,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_69,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_70,plain,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_lattices]) ).
fof(c_0_71,plain,
! [X27,X28,X29] :
( k1_lattices(X27,X28,X29) = k2_binop_1(u1_struct_0(X27),u1_struct_0(X27),u1_struct_0(X27),u2_lattices(X27),X28,X29)
| ~ m1_subset_1(X29,u1_struct_0(X27))
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l2_lattices(X27)
| v3_struct_0(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_72,plain,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,plain,
( ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| u2_lattices(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_74,negated_conjecture,
( ~ r1_lattices(esk2_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_65]),c_0_66]),c_0_66]),c_0_65]) ).
cnf(c_0_75,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_67]),c_0_68]) ).
cnf(c_0_76,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_69,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_78,plain,
! [X33,X34,X35] :
( ( ~ l2_lattices(X33)
| v3_struct_0(X33)
| ~ m1_subset_1(X34,u1_struct_0(X33))
| ~ m1_subset_1(X35,u1_struct_0(X33))
| r1_lattices(X33,X34,X35)
| k1_lattices(X33,X34,X35) != X35 )
& ( ~ l2_lattices(X33)
| v3_struct_0(X33)
| ~ m1_subset_1(X34,u1_struct_0(X33))
| ~ m1_subset_1(X35,u1_struct_0(X33))
| k1_lattices(X33,X34,X35) = X35
| ~ r1_lattices(X33,X34,X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])]) ).
cnf(c_0_79,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( ~ l1_lattices(esk2_0)
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| u2_lattices(esk2_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_42]),c_0_43])]) ).
cnf(c_0_82,negated_conjecture,
( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_83,negated_conjecture,
( ~ r1_lattices(esk2_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_84,plain,
( ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_lattices(X1,X2,X3) != X3
| v3_struct_0(X1)
| r1_lattices(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_86,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_struct_0(X1)
| k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_51]),c_0_31]),c_0_30]),c_0_32]),c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( ~ l1_lattices(esk2_0)
| u2_lattices(esk2_0) = u2_lattices(esk1_0) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
( k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_66]),c_0_65]),c_0_65]),c_0_66]),c_0_65]),c_0_66]) ).
cnf(c_0_89,negated_conjecture,
( ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_43]),c_0_60]),c_0_76]),c_0_60]),c_0_77])]),c_0_59]) ).
cnf(c_0_90,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ l1_lattices(esk2_0)
| k1_binop_1(u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_43])]),c_0_59]),c_0_60]),c_0_60]) ).
cnf(c_0_92,plain,
( ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_93,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_94,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_84]),c_0_90]),c_0_76]),c_0_77])]),c_0_68]) ).
cnf(c_0_95,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ l1_lattices(esk2_0)
| k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_91]),c_0_90])]),c_0_68]) ).
cnf(c_0_96,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_43]),c_0_60]),c_0_76]),c_0_60]),c_0_77])]),c_0_59]) ).
cnf(c_0_97,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_76]),c_0_77])]) ).
cnf(c_0_98,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_96]),c_0_90]),c_0_76]),c_0_77])]),c_0_68]),c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( ~ l1_lattices(esk2_0)
| ~ l1_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_95]),c_0_76]),c_0_77])]),c_0_97]) ).
cnf(c_0_100,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_55]),c_0_35])]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_55]),c_0_85])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT295+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Sun Sep 20 23:32:07 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.41 Running first-order theorem proving
% 0.03/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.15/0.72 % Version: 3.5.1
% 2.15/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.15/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.15/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.15/0.72 % Starting new_bool_3 with 300s (1) cores
% 2.15/0.72 % Starting new_bool_1 with 300s (1) cores
% 2.15/0.72 % Starting sh5l with 300s (1) cores
% 2.15/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4186944 completed with status 0
% 2.15/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.15/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.15/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.15/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.15/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.15/0.72 % No SInE strategy applied
% 2.15/0.72 % Search class: FGHSM-FFMM31-MFFFFFNN
% 2.15/0.72 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.15/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.15/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.15/0.72 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 2.15/0.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 2.15/0.72 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 2.15/0.72 % G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 4186957 completed with status 0
% 2.15/0.72 % Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 2.15/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.15/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.15/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.15/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.15/0.72 % No SInE strategy applied
% 2.15/0.72 % Search class: FGHSM-FFMM31-MFFFFFNN
% 2.15/0.72 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.15/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.15/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.15/0.72 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 113s (1) cores
% 2.15/0.72 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 113s (1) cores
% 2.15/0.72 % Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 113s (1) cores
% 2.15/0.72 % Preprocessing time : 0.003 s
% 2.15/0.72
% 2.15/0.72 % Proof found!
% 2.15/0.72 % SZS status Theorem
% 2.15/0.72 % SZS output start CNFRefutation
% See solution above
% 2.15/0.73 % Parsed axioms : 75
% 2.15/0.73 % Removed by relevancy pruning/SinE : 0
% 2.15/0.73 % Initial clauses : 119
% 2.15/0.73 % Removed in clause preprocessing : 17
% 2.15/0.73 % Initial clauses in saturation : 102
% 2.15/0.73 % Processed clauses : 2044
% 2.15/0.73 % ...of these trivial : 23
% 2.15/0.73 % ...subsumed : 1243
% 2.15/0.73 % ...remaining for further processing : 778
% 2.15/0.73 % Other redundant clauses eliminated : 3
% 2.15/0.73 % Clauses deleted for lack of memory : 0
% 2.15/0.73 % Backward-subsumed : 71
% 2.15/0.73 % Backward-rewritten : 48
% 2.15/0.73 % Generated clauses : 8002
% 2.15/0.73 % ...of the previous two non-redundant : 7649
% 2.15/0.73 % ...aggressively subsumed : 0
% 2.15/0.73 % Contextual simplify-reflections : 143
% 2.15/0.73 % Paramodulations : 7911
% 2.15/0.73 % Factorizations : 0
% 2.15/0.73 % NegExts : 0
% 2.15/0.73 % Equation resolutions : 88
% 2.15/0.73 % Disequality decompositions : 0
% 2.15/0.73 % Total rewrite steps : 2721
% 2.15/0.73 % ...of those cached : 2681
% 2.15/0.73 % Propositional unsat checks : 0
% 2.15/0.73 % Propositional check models : 0
% 2.15/0.73 % Propositional check unsatisfiable : 0
% 2.15/0.73 % Propositional clauses : 0
% 2.15/0.73 % Propositional clauses after purity: 0
% 2.15/0.73 % Propositional unsat core size : 0
% 2.15/0.73 % Propositional preprocessing time : 0.000
% 2.15/0.73 % Propositional encoding time : 0.000
% 2.15/0.73 % Propositional solver time : 0.000
% 2.15/0.73 % Success case prop preproc time : 0.000
% 2.15/0.73 % Success case prop encoding time : 0.000
% 2.15/0.73 % Success case prop solver time : 0.000
% 2.15/0.73 % Current number of processed clauses : 658
% 2.15/0.73 % Positive orientable unit clauses : 61
% 2.15/0.73 % Positive unorientable unit clauses: 1
% 2.15/0.73 % Negative unit clauses : 21
% 2.15/0.73 % Non-unit-clauses : 575
% 2.15/0.73 % Current number of unprocessed clauses: 5553
% 2.15/0.73 % ...number of literals in the above : 31839
% 2.15/0.73 % Current number of archived formulas : 0
% 2.15/0.73 % Current number of archived clauses : 120
% 2.15/0.73 % Clause-clause subsumption calls (NU) : 121556
% 2.15/0.73 % Rec. Clause-clause subsumption calls : 26550
% 2.15/0.73 % Non-unit clause-clause subsumptions : 1338
% 2.15/0.73 % Unit Clause-clause subsumption calls : 1214
% 2.15/0.73 % Rewrite failures with RHS unbound : 0
% 2.15/0.73 % BW rewrite match attempts : 36
% 2.15/0.73 % BW rewrite match successes : 10
% 2.15/0.73 % Condensation attempts : 0
% 2.15/0.73 % Condensation successes : 0
% 2.15/0.73 % Termbank termtop insertions : 254623
% 2.15/0.73 % Search garbage collected termcells : 1270
% 2.15/0.73
% 2.15/0.73 % -------------------------------------------------
% 2.15/0.73 % User time : 0.269 s
% 2.15/0.73 % System time : 0.013 s
% 2.15/0.73 % Total time : 0.282 s
% 2.15/0.73 % Maximum resident set size: 3964 pages
% 2.15/0.73
% 2.15/0.73 % -------------------------------------------------
% 2.15/0.73 % User time : 1.242 s
% 2.15/0.73 % System time : 0.067 s
% 2.15/0.73 % Total time : 1.309 s
% 2.15/0.73 % Maximum resident set size: 4864 pages
% 2.15/0.73 % E exiting
%------------------------------------------------------------------------------