%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT304+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 : n011.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 01:04:48 PM UTC 2026
% Result : Theorem 3.97s 1.05s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 5 unt; 0 def)
% Number of atoms : 318 ( 25 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 397 ( 147 ~; 145 |; 78 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 101 ( 8 sgn 54 !; 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_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_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(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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
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/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
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(t28_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
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/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(c_0_14,plain,
! [X97,X98,X99] :
( ( m2_relset_1(X99,X97,X98)
| ~ m1_relset_1(X99,X97,X98) )
& ( m1_relset_1(X99,X97,X98)
| ~ m2_relset_1(X99,X97,X98) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_15,plain,
! [X38] :
( ( ~ l2_lattices(X38)
| m2_relset_1(u2_lattices(X38),k2_zfmisc_1(u1_struct_0(X38),u1_struct_0(X38)),u1_struct_0(X38)) )
& ( ~ l2_lattices(X38)
| v1_funct_2(u2_lattices(X38),k2_zfmisc_1(u1_struct_0(X38),u1_struct_0(X38)),u1_struct_0(X38)) )
& ( ~ l2_lattices(X38)
| v1_funct_1(u2_lattices(X38)) ) ),
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_16,plain,
! [X72,X73,X74,X75,X76,X77] :
( ( ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X73)
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| X74 = X77 )
& ( ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X73)
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| X73 = X76 )
& ( ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X73)
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| X72 = X75 ) ),
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_17,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,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_15]) ).
fof(c_0_19,plain,
! [X37] :
( ( ~ l1_lattices(X37)
| m2_relset_1(u1_lattices(X37),k2_zfmisc_1(u1_struct_0(X37),u1_struct_0(X37)),u1_struct_0(X37)) )
& ( ~ l1_lattices(X37)
| v1_funct_2(u1_lattices(X37),k2_zfmisc_1(u1_struct_0(X37),u1_struct_0(X37)),u1_struct_0(X37)) )
& ( ~ l1_lattices(X37)
| v1_funct_1(u1_lattices(X37)) ) ),
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_20,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_21,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
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_16]) ).
cnf(c_0_23,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_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,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_15]) ).
cnf(c_0_26,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_19]) ).
fof(c_0_27,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t21_filter_2]) ).
fof(c_0_28,plain,
! [X95,X96] :
( ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| m1_filter_2(X96,X95)
| ~ m1_filter_0(X96,X95) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| m1_filter_0(X96,X95)
| ~ m1_filter_2(X96,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)],[c_0_20])])])])]) ).
fof(c_0_29,plain,
! [X101] :
( m1_filter_0(u1_struct_0(X101),X101)
| ~ l3_lattices(X101)
| ~ v10_lattices(X101)
| v3_struct_0(X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_30,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_31,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]) ).
cnf(c_0_32,plain,
( ~ v1_funct_1(X3)
| ~ 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))
| ~ l2_lattices(X1)
| g3_lattices(u1_struct_0(X1),X3,u2_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_33,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_17,c_0_26]) ).
cnf(c_0_34,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,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_19]) ).
fof(c_0_36,plain,
! [X18] :
( k1_lattice2(X18) = g3_lattices(u1_struct_0(X18),u1_lattices(X18),u2_lattices(X18))
| ~ l3_lattices(X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])])]) ).
fof(c_0_37,plain,
! [X25] :
( ( ~ l3_lattices(X25)
| l2_lattices(X25) )
& ( ~ l3_lattices(X25)
| l1_lattices(X25) ) ),
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_38,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(assume_negation,[status(cth)],[t28_filter_2]) ).
fof(c_0_39,plain,
! [X104,X105] :
( ( ~ l3_lattices(X104)
| ~ v10_lattices(X104)
| v3_struct_0(X104)
| m2_filter_2(X105,X104)
| ~ m1_filter_2(X105,k1_lattice2(X104)) )
& ( ~ l3_lattices(X104)
| ~ v10_lattices(X104)
| v3_struct_0(X104)
| m1_filter_2(X105,k1_lattice2(X104))
| ~ m2_filter_2(X105,X104) ) ),
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_27])])])])]) ).
cnf(c_0_40,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_42,plain,
! [X71] :
( ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v10_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v9_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v8_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v7_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v6_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v5_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v4_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| v3_lattices(k1_lattice2(X71)) )
& ( ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71)
| ~ v3_struct_0(k1_lattice2(X71)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_43,plain,
! [X22] :
( ( ~ l3_lattices(X22)
| l3_lattices(k1_lattice2(X22)) )
& ( ~ l3_lattices(X22)
| v3_lattices(k1_lattice2(X22)) ) ),
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_44,plain,
! [X59] :
( ( ~ l3_lattices(X59)
| v3_struct_0(X59)
| v3_lattices(k1_lattice2(X59)) )
& ( ~ l3_lattices(X59)
| v3_struct_0(X59)
| ~ v3_struct_0(k1_lattice2(X59)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_45,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_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_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_46,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_36]) ).
cnf(c_0_47,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_49,plain,
! [X8] :
( X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| ~ v3_lattices(X8)
| ~ l3_lattices(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_50,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
cnf(c_0_51,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| m2_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(u1_struct_0(X1),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_53,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,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(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48]) ).
cnf(c_0_57,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_49]) ).
cnf(c_0_58,plain,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_59,negated_conjecture,
( ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
cnf(c_0_60,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_61,plain,
( ~ l3_lattices(X1)
| u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57])]),c_0_54]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| m2_filter_2(u1_struct_0(X1),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 23:31:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 3.97/1.05 % Version: 3.5.1
% 3.97/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.97/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.97/1.05 % Starting new_bool_3 with 300s (1) cores
% 3.97/1.05 % Starting new_bool_1 with 300s (1) cores
% 3.97/1.05 % Starting sh5l with 300s (1) cores
% 3.97/1.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 435555 completed with status 0
% 3.97/1.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.97/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.97/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.97/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.97/1.05 % No SInE strategy applied
% 3.97/1.05 % Search class: FGHSM-FSMM31-SFFFFFNN
% 3.97/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.97/1.05 % Starting SubtermCWHack with 136s (1) cores
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 3.97/1.05 % Starting new_bool_3 with 136s (1) cores
% 3.97/1.05 % Starting new_bool_1 with 136s (1) cores
% 3.97/1.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 435562 completed with status 0
% 3.97/1.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 3.97/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.97/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.97/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.97/1.05 % No SInE strategy applied
% 3.97/1.05 % Search class: FGHSM-FSMM31-SFFFFFNN
% 3.97/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.97/1.05 % Starting SubtermCWHack with 136s (1) cores
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.97/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 3.97/1.05 % Preprocessing time : 0.005 s
% 3.97/1.05 % Presaturation interreduction done
% 3.97/1.05
% 3.97/1.05 % Proof found!
% 3.97/1.05 % SZS status Theorem
% 3.97/1.05 % SZS output start CNFRefutation
% See solution above
% 3.97/1.05 % Parsed axioms : 77
% 3.97/1.05 % Removed by relevancy pruning/SinE : 0
% 3.97/1.05 % Initial clauses : 153
% 3.97/1.05 % Removed in clause preprocessing : 11
% 3.97/1.05 % Initial clauses in saturation : 142
% 3.97/1.05 % Processed clauses : 3589
% 3.97/1.05 % ...of these trivial : 6
% 3.97/1.05 % ...subsumed : 2450
% 3.97/1.05 % ...remaining for further processing : 1133
% 3.97/1.05 % Other redundant clauses eliminated : 9
% 3.97/1.05 % Clauses deleted for lack of memory : 0
% 3.97/1.05 % Backward-subsumed : 88
% 3.97/1.05 % Backward-rewritten : 6
% 3.97/1.05 % Generated clauses : 12142
% 3.97/1.05 % ...of the previous two non-redundant : 9992
% 3.97/1.05 % ...aggressively subsumed : 0
% 3.97/1.05 % Contextual simplify-reflections : 242
% 3.97/1.05 % Paramodulations : 12121
% 3.97/1.05 % Factorizations : 0
% 3.97/1.05 % NegExts : 0
% 3.97/1.05 % Equation resolutions : 21
% 3.97/1.05 % Disequality decompositions : 0
% 3.97/1.05 % Total rewrite steps : 798
% 3.97/1.05 % ...of those cached : 759
% 3.97/1.05 % Propositional unsat checks : 0
% 3.97/1.05 % Propositional check models : 0
% 3.97/1.05 % Propositional check unsatisfiable : 0
% 3.97/1.05 % Propositional clauses : 0
% 3.97/1.05 % Propositional clauses after purity: 0
% 3.97/1.05 % Propositional unsat core size : 0
% 3.97/1.05 % Propositional preprocessing time : 0.000
% 3.97/1.05 % Propositional encoding time : 0.000
% 3.97/1.05 % Propositional solver time : 0.000
% 3.97/1.05 % Success case prop preproc time : 0.000
% 3.97/1.05 % Success case prop encoding time : 0.000
% 3.97/1.05 % Success case prop solver time : 0.000
% 3.97/1.05 % Current number of processed clauses : 909
% 3.97/1.05 % Positive orientable unit clauses : 55
% 3.97/1.05 % Positive unorientable unit clauses: 0
% 3.97/1.05 % Negative unit clauses : 11
% 3.97/1.05 % Non-unit-clauses : 843
% 3.97/1.05 % Current number of unprocessed clauses: 6444
% 3.97/1.05 % ...number of literals in the above : 42072
% 3.97/1.05 % Current number of archived formulas : 0
% 3.97/1.05 % Current number of archived clauses : 224
% 3.97/1.05 % Clause-clause subsumption calls (NU) : 185479
% 3.97/1.05 % Rec. Clause-clause subsumption calls : 48183
% 3.97/1.05 % Non-unit clause-clause subsumptions : 2606
% 3.97/1.05 % Unit Clause-clause subsumption calls : 710
% 3.97/1.05 % Rewrite failures with RHS unbound : 0
% 3.97/1.05 % BW rewrite match attempts : 60
% 3.97/1.05 % BW rewrite match successes : 3
% 3.97/1.05 % Condensation attempts : 0
% 3.97/1.05 % Condensation successes : 0
% 3.97/1.05 % Termbank termtop insertions : 265553
% 3.97/1.05 % Search garbage collected termcells : 1437
% 3.97/1.05
% 3.97/1.05 % -------------------------------------------------
% 3.97/1.05 % User time : 0.592 s
% 3.97/1.05 % System time : 0.014 s
% 3.97/1.05 % Total time : 0.606 s
% 3.97/1.05 % Maximum resident set size: 3964 pages
% 3.97/1.05
% 3.97/1.05 % -------------------------------------------------
% 3.97/1.05 % User time : 2.493 s
% 3.97/1.05 % System time : 0.087 s
% 3.97/1.05 % Total time : 2.580 s
% 3.97/1.05 % Maximum resident set size: 4864 pages
% 3.97/1.05 % E exiting
%------------------------------------------------------------------------------