%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT307+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 01:04:49 PM UTC 2026
% Result : Theorem 43.96s 6.10s
% Output : CNFRefutation 43.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 130 ( 10 unt; 0 def)
% Number of atoms : 685 ( 65 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 889 ( 334 ~; 331 |; 148 &)
% ( 7 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 211 ( 8 sgn 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(t34_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r1_tarski(X2,X3) ) )
& X2 != u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(t22_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& r1_tarski(X2,X3) ) )
& X2 != u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_filter_0) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
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/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(c_0_24,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_25,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_26,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_28,plain,
! [X48,X49] :
( m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48)))
| ~ m2_lattice4(X49,X48)
| ~ l3_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_29,plain,
! [X46,X47] :
( ( ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ m2_filter_2(X47,X46)
| m2_lattice4(X47,X46) )
& ( ~ l3_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ m2_filter_2(X47,X46)
| ~ v1_xboole_0(X47) ) ),
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_25])])])])]) ).
fof(c_0_30,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
fof(c_0_31,plain,
! [X23,X24] :
( k7_filter_2(X23,X24) = X24
| ~ m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))
| ~ l3_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_32,plain,
! [X118,X119] :
( k15_filter_2(X118,X119) = k7_filter_2(X118,X119)
| ~ m2_filter_2(X119,X118)
| ~ l3_lattices(X118)
| ~ v10_lattices(X118)
| v3_struct_0(X118) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_33,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r1_tarski(X2,X3) ) )
& X2 != u1_struct_0(X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t34_filter_2]) ).
fof(c_0_36,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_37,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_filter_2]) ).
fof(c_0_38,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_39,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_40,plain,
! [X133,X134] :
( ( ~ l3_lattices(X133)
| ~ v10_lattices(X133)
| v3_struct_0(X133)
| ~ m2_filter_2(X134,X133)
| r2_filter_2(X133,X134)
| ~ v1_filter_0(k15_filter_2(X133,X134),k1_lattice2(X133)) )
& ( ~ l3_lattices(X133)
| ~ v10_lattices(X133)
| v3_struct_0(X133)
| ~ m2_filter_2(X134,X133)
| v1_filter_0(k15_filter_2(X133,X134),k1_lattice2(X133))
| ~ r2_filter_2(X133,X134) ) ),
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_30])])])])]) ).
cnf(c_0_41,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_44,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& r1_tarski(X2,X3) ) )
& X2 != u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t22_filter_0]) ).
fof(c_0_45,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
fof(c_0_46,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_filter_2(X1,X3)
& r1_tarski(X2,X3) ) )
& X2 != u1_struct_0(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_47,plain,
! [X120,X121] :
( ( ~ l3_lattices(X120)
| ~ v10_lattices(X120)
| v3_struct_0(X120)
| m1_filter_2(X121,X120)
| ~ m1_filter_0(X121,X120) )
& ( ~ l3_lattices(X120)
| ~ v10_lattices(X120)
| v3_struct_0(X120)
| m1_filter_0(X121,X120)
| ~ m1_filter_2(X121,X120) ) ),
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_36])])])])]) ).
fof(c_0_48,plain,
! [X32,X33] :
( m1_filter_2(k15_filter_2(X32,X33),k1_lattice2(X32))
| ~ m2_filter_2(X33,X32)
| ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_49,plain,
! [X91] :
( ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v10_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v9_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v8_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v7_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v6_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v5_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v4_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v3_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| ~ v3_struct_0(k1_lattice2(X91)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_50,plain,
! [X34] :
( ( ~ l3_lattices(X34)
| l3_lattices(k1_lattice2(X34)) )
& ( ~ l3_lattices(X34)
| v3_lattices(k1_lattice2(X34)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_51,plain,
! [X77] :
( ( ~ l3_lattices(X77)
| v3_struct_0(X77)
| v3_lattices(k1_lattice2(X77)) )
& ( ~ l3_lattices(X77)
| v3_struct_0(X77)
| ~ v3_struct_0(k1_lattice2(X77)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
cnf(c_0_52,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| r2_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_53,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| v3_struct_0(X1)
| k15_filter_2(X1,X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
fof(c_0_54,plain,
! [X128,X129] :
( ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ v13_lattices(X128)
| ~ m1_filter_0(X129,X128)
| X129 = u1_struct_0(X128)
| v1_filter_0(esk28_2(X128,X129),X128) )
& ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ v13_lattices(X128)
| ~ m1_filter_0(X129,X128)
| X129 = u1_struct_0(X128)
| r1_tarski(X129,esk28_2(X128,X129)) )
& ( ~ l3_lattices(X128)
| ~ v10_lattices(X128)
| v3_struct_0(X128)
| ~ v13_lattices(X128)
| ~ m1_filter_0(X129,X128)
| X129 = u1_struct_0(X128)
| m1_filter_0(esk28_2(X128,X129),X128) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])])]) ).
fof(c_0_55,plain,
! [X143] :
( ( ~ l3_lattices(X143)
| ~ v10_lattices(X143)
| v3_struct_0(X143)
| v14_lattices(X143)
| ~ v13_lattices(k1_lattice2(X143)) )
& ( ~ l3_lattices(X143)
| ~ v10_lattices(X143)
| v3_struct_0(X143)
| v13_lattices(k1_lattice2(X143))
| ~ v14_lattices(X143) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
fof(c_0_56,negated_conjecture,
! [X9] :
( ( ~ r2_filter_2(esk1_0,X9)
| ~ r1_tarski(esk2_0,X9)
| ~ m2_filter_2(X9,esk1_0) )
& esk2_0 != u1_struct_0(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& v14_lattices(esk1_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])]) ).
cnf(c_0_57,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_62,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_63,plain,
! [X1,X2] :
( ( m1_filter_0(X2,k1_lattice2(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
cnf(c_0_64,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| r2_filter_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| X2 = u1_struct_0(X1)
| v1_filter_0(esk28_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_70,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_71,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| v3_struct_0(X1)
| m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),c_0_61]) ).
fof(c_0_72,plain,
! [X30,X31] :
( m2_filter_2(k14_filter_2(X30,X31),X30)
| ~ m1_filter_0(X31,k1_lattice2(X30))
| ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_73,plain,
! [X116,X117] :
( k14_filter_2(X116,X117) = k8_filter_2(X116,X117)
| ~ m1_filter_0(X117,k1_lattice2(X116))
| ~ l3_lattices(X116)
| ~ v10_lattices(X116)
| v3_struct_0(X116) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_74,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
cnf(c_0_75,negated_conjecture,
( ~ r2_filter_2(esk1_0,X1)
| ~ r1_tarski(esk2_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_76,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(esk28_2(k1_lattice2(X2),X1),X2)
| ~ v13_lattices(k1_lattice2(X2))
| ~ m1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| r2_filter_2(X2,esk28_2(k1_lattice2(X2),X1))
| X1 = u1_struct_0(k1_lattice2(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_77,negated_conjecture,
v13_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69])]),c_0_70]) ).
cnf(c_0_78,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,k1_lattice2(X2)) ),
inference(spm,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_79,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_80,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,plain,
( ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_82,plain,
! [X25,X26] :
( k8_filter_2(X25,X26) = X26
| ~ m1_subset_1(X26,k1_zfmisc_1(u1_struct_0(k1_lattice2(X25))))
| ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).
fof(c_0_83,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_84,plain,
! [X92,X93,X94,X95,X96,X97] :
( ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X94 = X97 )
& ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X93 = X96 )
& ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X92 = X95 ) ),
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])])])])]) ).
fof(c_0_85,plain,
! [X22] :
( k1_lattice2(X22) = g3_lattices(u1_struct_0(X22),u1_lattices(X22),u2_lattices(X22))
| ~ l3_lattices(X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])])]) ).
fof(c_0_86,plain,
! [X122,X123,X124] :
( ( m2_relset_1(X124,X122,X123)
| ~ m1_relset_1(X124,X122,X123) )
& ( m1_relset_1(X124,X122,X123)
| ~ m2_relset_1(X124,X122,X123) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_87,plain,
! [X53] :
( ( ~ l1_lattices(X53)
| m2_relset_1(u1_lattices(X53),k2_zfmisc_1(u1_struct_0(X53),u1_struct_0(X53)),u1_struct_0(X53)) )
& ( ~ l1_lattices(X53)
| v1_funct_2(u1_lattices(X53),k2_zfmisc_1(u1_struct_0(X53),u1_struct_0(X53)),u1_struct_0(X53)) )
& ( ~ l1_lattices(X53)
| v1_funct_1(u1_lattices(X53)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),X1),esk1_0)
| ~ r1_tarski(esk2_0,esk28_2(k1_lattice2(esk1_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk1_0))
| X1 = u1_struct_0(k1_lattice2(esk1_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_75,c_0_76]),c_0_77]),c_0_68]),c_0_69])]),c_0_70]) ).
cnf(c_0_89,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| X1 = u1_struct_0(X2)
| r1_tarski(X1,esk28_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_90,negated_conjecture,
m1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_68]),c_0_69])]),c_0_70]) ).
cnf(c_0_91,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| m2_filter_2(k8_filter_2(X1,X2),X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_92,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_93,plain,
! [X42,X43] :
( ( ~ l3_lattices(X42)
| ~ v10_lattices(X42)
| v3_struct_0(X42)
| ~ m1_filter_0(X43,X42)
| m1_subset_1(X43,k1_zfmisc_1(u1_struct_0(X42))) )
& ( ~ l3_lattices(X42)
| ~ v10_lattices(X42)
| v3_struct_0(X42)
| ~ m1_filter_0(X43,X42)
| ~ v1_xboole_0(X43) ) ),
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_83])])])])]) ).
cnf(c_0_94,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_84]) ).
cnf(c_0_95,plain,
( ~ l3_lattices(X1)
| k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,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_87]) ).
fof(c_0_98,plain,
! [X41] :
( ( ~ l3_lattices(X41)
| l2_lattices(X41) )
& ( ~ l3_lattices(X41)
| l1_lattices(X41) ) ),
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_99,plain,
! [X54] :
( ( ~ l2_lattices(X54)
| m2_relset_1(u2_lattices(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54)),u1_struct_0(X54)) )
& ( ~ l2_lattices(X54)
| v1_funct_2(u2_lattices(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54)),u1_struct_0(X54)) )
& ( ~ l2_lattices(X54)
| v1_funct_1(u2_lattices(X54)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
cnf(c_0_100,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0))
| esk2_0 = u1_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_77])]) ).
cnf(c_0_101,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X2))))
| ~ m1_filter_0(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| m2_filter_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_102,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,plain,
( ~ l3_lattices(X1)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_1(u2_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_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_104,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_96,c_0_97]) ).
cnf(c_0_105,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_106,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_87]) ).
cnf(c_0_107,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,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_99]) ).
fof(c_0_109,plain,
! [X10] :
( X10 = g3_lattices(u1_struct_0(X10),u2_lattices(X10),u1_lattices(X10))
| ~ v3_lattices(X10)
| ~ l3_lattices(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_110,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| esk2_0 = u1_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_68]),c_0_69])]),c_0_70]),c_0_102]) ).
cnf(c_0_111,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| X2 = u1_struct_0(X1)
| m1_filter_0(esk28_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_112,plain,
( ~ l3_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))
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_106]),c_0_107]) ).
cnf(c_0_113,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_96,c_0_108]) ).
cnf(c_0_114,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_115,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_99]) ).
cnf(c_0_116,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_117,plain,
( ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_118,plain,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_119,negated_conjecture,
esk2_0 != u1_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_120,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| esk2_0 = u1_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_90]),c_0_77])]) ).
cnf(c_0_121,plain,
( ~ l3_lattices(X1)
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]),c_0_116]) ).
cnf(c_0_122,plain,
( ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(k1_lattice2(X1)),u2_lattices(k1_lattice2(X1)),u1_lattices(k1_lattice2(X1))) = k1_lattice2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_60]) ).
cnf(c_0_123,negated_conjecture,
( ~ v10_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| u1_struct_0(k1_lattice2(esk1_0)) != u1_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,plain,
( ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| k1_lattice2(X1) != k1_lattice2(X2)
| u1_struct_0(X1) = u1_struct_0(k1_lattice2(X2)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| u1_struct_0(k1_lattice2(esk1_0)) != u1_struct_0(esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_59]),c_0_68]),c_0_69])]),c_0_70]) ).
cnf(c_0_126,plain,
( ~ l3_lattices(X1)
| u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1) ),
inference(er,[status(thm)],[c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_68])]) ).
cnf(c_0_128,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_60]),c_0_68])]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_128]),c_0_68])]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT307+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n015.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 20 23:36:05 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 43.96/6.10 % Version: 3.5.1
% 43.96/6.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 43.96/6.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.96/6.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 43.96/6.10 % Starting new_bool_3 with 300s (1) cores
% 43.96/6.10 % Starting new_bool_1 with 300s (1) cores
% 43.96/6.10 % Starting sh5l with 300s (1) cores
% 43.96/6.10 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5896 completed with status 0
% 43.96/6.10 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 43.96/6.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 43.96/6.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.96/6.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 43.96/6.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.96/6.10 % No SInE strategy applied
% 43.96/6.10 % Search class: FGHSM-FSLM31-MFFFFFNN
% 43.96/6.10 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 43.96/6.10 % Starting SubtermCWHack with 136s (1) cores
% 43.96/6.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 43.96/6.10 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 43.96/6.10 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 43.96/6.10 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 43.96/6.10 % G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 5905 completed with status 0
% 43.96/6.10 % Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 43.96/6.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 43.96/6.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.96/6.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 43.96/6.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.96/6.10 % No SInE strategy applied
% 43.96/6.10 % Search class: FGHSM-FSLM31-MFFFFFNN
% 43.96/6.10 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 43.96/6.10 % Starting SubtermCWHack with 136s (1) cores
% 43.96/6.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 43.96/6.10 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 43.96/6.10 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 43.96/6.10 % Preprocessing time : 0.005 s
% 43.96/6.10 % Presaturation interreduction done
% 43.96/6.10
% 43.96/6.10 % Proof found!
% 43.96/6.10 % SZS status Theorem
% 43.96/6.10 % SZS output start CNFRefutation
% See solution above
% 43.96/6.10 % Parsed axioms : 91
% 43.96/6.10 % Removed by relevancy pruning/SinE : 0
% 43.96/6.10 % Initial clauses : 188
% 43.96/6.10 % Removed in clause preprocessing : 13
% 43.96/6.10 % Initial clauses in saturation : 175
% 43.96/6.10 % Processed clauses : 13176
% 43.96/6.10 % ...of these trivial : 182
% 43.96/6.10 % ...subsumed : 8995
% 43.96/6.10 % ...remaining for further processing : 3999
% 43.96/6.10 % Other redundant clauses eliminated : 0
% 43.96/6.10 % Clauses deleted for lack of memory : 0
% 43.96/6.10 % Backward-subsumed : 974
% 43.96/6.10 % Backward-rewritten : 7
% 43.96/6.10 % Generated clauses : 91158
% 43.96/6.10 % ...of the previous two non-redundant : 55980
% 43.96/6.10 % ...aggressively subsumed : 0
% 43.96/6.10 % Contextual simplify-reflections : 666
% 43.96/6.10 % Paramodulations : 91148
% 43.96/6.10 % Factorizations : 0
% 43.96/6.10 % NegExts : 0
% 43.96/6.10 % Equation resolutions : 10
% 43.96/6.10 % Disequality decompositions : 0
% 43.96/6.10 % Total rewrite steps : 34951
% 43.96/6.10 % ...of those cached : 34861
% 43.96/6.10 % Propositional unsat checks : 0
% 43.96/6.10 % Propositional check models : 0
% 43.96/6.10 % Propositional check unsatisfiable : 0
% 43.96/6.10 % Propositional clauses : 0
% 43.96/6.10 % Propositional clauses after purity: 0
% 43.96/6.10 % Propositional unsat core size : 0
% 43.96/6.10 % Propositional preprocessing time : 0.000
% 43.96/6.10 % Propositional encoding time : 0.000
% 43.96/6.10 % Propositional solver time : 0.000
% 43.96/6.10 % Success case prop preproc time : 0.000
% 43.96/6.10 % Success case prop encoding time : 0.000
% 43.96/6.10 % Success case prop solver time : 0.000
% 43.96/6.10 % Current number of processed clauses : 2855
% 43.96/6.10 % Positive orientable unit clauses : 99
% 43.96/6.10 % Positive unorientable unit clauses: 0
% 43.96/6.10 % Negative unit clauses : 14
% 43.96/6.10 % Non-unit-clauses : 2742
% 43.96/6.10 % Current number of unprocessed clauses: 42329
% 43.96/6.10 % ...number of literals in the above : 321532
% 43.96/6.10 % Current number of archived formulas : 0
% 43.96/6.10 % Current number of archived clauses : 1144
% 43.96/6.10 % Clause-clause subsumption calls (NU) : 1473417
% 43.96/6.10 % Rec. Clause-clause subsumption calls : 172410
% 43.96/6.10 % Non-unit clause-clause subsumptions : 9669
% 43.96/6.10 % Unit Clause-clause subsumption calls : 1615
% 43.96/6.10 % Rewrite failures with RHS unbound : 0
% 43.96/6.10 % BW rewrite match attempts : 760
% 43.96/6.10 % BW rewrite match successes : 13
% 43.96/6.10 % Condensation attempts : 0
% 43.96/6.10 % Condensation successes : 0
% 43.96/6.10 % Termbank termtop insertions : 2617394
% 43.96/6.10 % Search garbage collected termcells : 1994
% 43.96/6.10
% 43.96/6.10 % -------------------------------------------------
% 43.96/6.10 % User time : 5.403 s
% 43.96/6.10 % System time : 0.084 s
% 43.96/6.10 % Total time : 5.488 s
% 43.96/6.10 % Maximum resident set size: 3984 pages
% 43.96/6.10
% 43.96/6.10 % -------------------------------------------------
% 43.96/6.10 % User time : 27.023 s
% 43.96/6.10 % System time : 0.459 s
% 43.96/6.10 % Total time : 27.481 s
% 43.96/6.10 % Maximum resident set size: 4608 pages
% 43.96/6.10 % E exiting
%------------------------------------------------------------------------------