TSTP Solution File: LAT304+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT304+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:24:28 EDT 2024
% Result : Theorem 4.13s 1.00s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 6 unt; 0 def)
% Number of atoms : 402 ( 39 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 529 ( 211 ~; 208 |; 83 &)
% ( 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 : 137 ( 16 sgn 59 !; 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)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_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/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(t28_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_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_15,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_16,plain,
! [X38] :
( ( v1_funct_1(u2_lattices(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) )
& ( m2_relset_1(u2_lattices(X38),k2_zfmisc_1(u1_struct_0(X38),u1_struct_0(X38)),u1_struct_0(X38))
| ~ l2_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_17,plain,
! [X72,X73,X74,X75,X76,X77] :
( ( X72 = X75
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) )
& ( X73 = X76
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) )
& ( X74 = X77
| g3_lattices(X72,X73,X74) != g3_lattices(X75,X76,X77)
| ~ v1_funct_1(X73)
| ~ v1_funct_2(X73,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X73,k2_zfmisc_1(X72,X72),X72)
| ~ v1_funct_1(X74)
| ~ v1_funct_2(X74,k2_zfmisc_1(X72,X72),X72)
| ~ m1_relset_1(X74,k2_zfmisc_1(X72,X72),X72) ) ),
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,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X37] :
( ( v1_funct_1(u1_lattices(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) )
& ( m2_relset_1(u1_lattices(X37),k2_zfmisc_1(u1_struct_0(X37),u1_struct_0(X37)),u1_struct_0(X37))
| ~ l1_lattices(X37) ) ),
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_21,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),X1,u2_lattices(X3)) != g3_lattices(X4,X2,X5)
| ~ l2_lattices(X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_25]) ).
cnf(c_0_28,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
! [X18] :
( ~ l3_lattices(X18)
| k1_lattice2(X18) = g3_lattices(u1_struct_0(X18),u1_lattices(X18),u2_lattices(X18)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])])]) ).
fof(c_0_31,plain,
! [X25] :
( ( l1_lattices(X25)
| ~ l3_lattices(X25) )
& ( l2_lattices(X25)
| ~ l3_lattices(X25) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
cnf(c_0_32,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_33,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_filter_2])]) ).
cnf(c_0_37,plain,
( u1_lattices(X1) = X2
| k1_lattice2(X1) != g3_lattices(X3,X2,X4)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
fof(c_0_38,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_39,plain,
! [X19,X20,X21] :
( ( v3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) )
& ( l3_lattices(g3_lattices(X19,X20,X21))
| ~ v1_funct_1(X20)
| ~ v1_funct_2(X20,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X20,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,k2_zfmisc_1(X19,X19),X19)
| ~ m1_relset_1(X21,k2_zfmisc_1(X19,X19),X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
cnf(c_0_42,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
( u1_lattices(X1) = u1_lattices(X2)
| k1_lattice2(X1) != k1_lattice2(X2)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
cnf(c_0_44,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( l3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_47,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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_48,plain,
! [X95,X96] :
( ( ~ m1_filter_2(X96,X95)
| m1_filter_0(X96,X95)
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ l3_lattices(X95) )
& ( ~ m1_filter_0(X96,X95)
| m1_filter_2(X96,X95)
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ l3_lattices(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_40])])])])]) ).
fof(c_0_49,plain,
! [X101] :
( v3_struct_0(X101)
| ~ v10_lattices(X101)
| ~ l3_lattices(X101)
| m1_filter_0(u1_struct_0(X101),X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_52,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u2_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ l2_lattices(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_53,negated_conjecture,
( u1_lattices(esk1_0) = u1_lattices(X1)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_55,plain,
( v3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_22]),c_0_23]),c_0_24]) ).
fof(c_0_56,plain,
! [X104,X105] :
( ( ~ m2_filter_2(X105,X104)
| m1_filter_2(X105,k1_lattice2(X104))
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(X104) )
& ( ~ m1_filter_2(X105,k1_lattice2(X104))
| m2_filter_2(X105,X104)
| v3_struct_0(X104)
| ~ v10_lattices(X104)
| ~ l3_lattices(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_47])])])])]) ).
cnf(c_0_57,plain,
( m1_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_59,plain,
! [X71] :
( ( ~ v3_struct_0(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v3_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v4_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v5_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v6_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v7_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v8_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v9_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) )
& ( v10_lattices(k1_lattice2(X71))
| v3_struct_0(X71)
| ~ v10_lattices(X71)
| ~ l3_lattices(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_60,plain,
! [X22] :
( ( v3_lattices(k1_lattice2(X22))
| ~ l3_lattices(X22) )
& ( l3_lattices(k1_lattice2(X22))
| ~ l3_lattices(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_61,plain,
! [X59] :
( ( ~ v3_struct_0(k1_lattice2(X59))
| v3_struct_0(X59)
| ~ l3_lattices(X59) )
& ( v3_lattices(k1_lattice2(X59))
| v3_struct_0(X59)
| ~ l3_lattices(X59) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
cnf(c_0_62,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_63,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u1_lattices(X1),u2_lattices(esk1_0)) = k1_lattice2(esk1_0)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_53]),c_0_44])]) ).
fof(c_0_64,plain,
! [X8] :
( ~ l3_lattices(X8)
| ~ v3_lattices(X8)
| X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_65,plain,
( l3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_66,plain,
( v3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_67,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,k1_lattice2(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,plain,
( m1_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_70,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44])]) ).
cnf(c_0_73,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_44])]) ).
cnf(c_0_75,negated_conjecture,
( v3_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_44])]) ).
cnf(c_0_76,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73])]),c_0_74]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_80,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_81,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_44]),c_0_78])]),c_0_79]),c_0_80]) ).
cnf(c_0_82,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_35]),c_0_44])]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_34]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT304+1 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 20:32:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 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
% 4.13/1.00 # Version: 3.1.0
% 4.13/1.00 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.13/1.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.13/1.00 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.13/1.00 # Starting new_bool_3 with 300s (1) cores
% 4.13/1.00 # Starting new_bool_1 with 300s (1) cores
% 4.13/1.00 # Starting sh5l with 300s (1) cores
% 4.13/1.00 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28297 completed with status 0
% 4.13/1.00 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.13/1.00 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.13/1.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.13/1.00 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.13/1.00 # No SInE strategy applied
% 4.13/1.00 # Search class: FGHSM-FSMM31-SFFFFFNN
% 4.13/1.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.13/1.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 811s (1) cores
% 4.13/1.00 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.13/1.00 # Starting new_bool_3 with 136s (1) cores
% 4.13/1.00 # Starting new_bool_1 with 136s (1) cores
% 4.13/1.00 # Starting sh5l with 136s (1) cores
% 4.13/1.00 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 28303 completed with status 0
% 4.13/1.00 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 4.13/1.00 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.13/1.00 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.13/1.00 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.13/1.00 # No SInE strategy applied
% 4.13/1.00 # Search class: FGHSM-FSMM31-SFFFFFNN
% 4.13/1.00 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.13/1.00 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 811s (1) cores
% 4.13/1.00 # Preprocessing time : 0.002 s
% 4.13/1.00 # Presaturation interreduction done
% 4.13/1.00
% 4.13/1.00 # Proof found!
% 4.13/1.00 # SZS status Theorem
% 4.13/1.00 # SZS output start CNFRefutation
% See solution above
% 4.13/1.01 # Parsed axioms : 77
% 4.13/1.01 # Removed by relevancy pruning/SinE : 0
% 4.13/1.01 # Initial clauses : 153
% 4.13/1.01 # Removed in clause preprocessing : 11
% 4.13/1.01 # Initial clauses in saturation : 142
% 4.13/1.01 # Processed clauses : 3767
% 4.13/1.01 # ...of these trivial : 16
% 4.13/1.01 # ...subsumed : 2248
% 4.13/1.01 # ...remaining for further processing : 1503
% 4.13/1.01 # Other redundant clauses eliminated : 18
% 4.13/1.01 # Clauses deleted for lack of memory : 0
% 4.13/1.01 # Backward-subsumed : 119
% 4.13/1.01 # Backward-rewritten : 20
% 4.13/1.01 # Generated clauses : 14544
% 4.13/1.01 # ...of the previous two non-redundant : 12593
% 4.13/1.01 # ...aggressively subsumed : 0
% 4.13/1.01 # Contextual simplify-reflections : 239
% 4.13/1.01 # Paramodulations : 14480
% 4.13/1.01 # Factorizations : 0
% 4.13/1.01 # NegExts : 0
% 4.13/1.01 # Equation resolutions : 64
% 4.13/1.01 # Disequality decompositions : 0
% 4.13/1.01 # Total rewrite steps : 4480
% 4.13/1.01 # ...of those cached : 4431
% 4.13/1.01 # Propositional unsat checks : 0
% 4.13/1.01 # Propositional check models : 0
% 4.13/1.01 # Propositional check unsatisfiable : 0
% 4.13/1.01 # Propositional clauses : 0
% 4.13/1.01 # Propositional clauses after purity: 0
% 4.13/1.01 # Propositional unsat core size : 0
% 4.13/1.01 # Propositional preprocessing time : 0.000
% 4.13/1.01 # Propositional encoding time : 0.000
% 4.13/1.01 # Propositional solver time : 0.000
% 4.13/1.01 # Success case prop preproc time : 0.000
% 4.13/1.01 # Success case prop encoding time : 0.000
% 4.13/1.01 # Success case prop solver time : 0.000
% 4.13/1.01 # Current number of processed clauses : 1234
% 4.13/1.01 # Positive orientable unit clauses : 69
% 4.13/1.01 # Positive unorientable unit clauses: 0
% 4.13/1.01 # Negative unit clauses : 12
% 4.13/1.01 # Non-unit-clauses : 1153
% 4.13/1.01 # Current number of unprocessed clauses: 8961
% 4.13/1.01 # ...number of literals in the above : 50204
% 4.13/1.01 # Current number of archived formulas : 0
% 4.13/1.01 # Current number of archived clauses : 269
% 4.13/1.01 # Clause-clause subsumption calls (NU) : 249197
% 4.13/1.01 # Rec. Clause-clause subsumption calls : 51459
% 4.13/1.01 # Non-unit clause-clause subsumptions : 2442
% 4.13/1.01 # Unit Clause-clause subsumption calls : 1079
% 4.13/1.01 # Rewrite failures with RHS unbound : 0
% 4.13/1.01 # BW rewrite match attempts : 93
% 4.13/1.01 # BW rewrite match successes : 17
% 4.13/1.01 # Condensation attempts : 0
% 4.13/1.01 # Condensation successes : 0
% 4.13/1.01 # Termbank termtop insertions : 282328
% 4.13/1.01 # Search garbage collected termcells : 1438
% 4.13/1.01
% 4.13/1.01 # -------------------------------------------------
% 4.13/1.01 # User time : 0.465 s
% 4.13/1.01 # System time : 0.016 s
% 4.13/1.01 # Total time : 0.481 s
% 4.13/1.01 # Maximum resident set size: 2176 pages
% 4.13/1.01
% 4.13/1.01 # -------------------------------------------------
% 4.13/1.01 # User time : 2.338 s
% 4.13/1.01 # System time : 0.029 s
% 4.13/1.01 # Total time : 2.367 s
% 4.13/1.01 # Maximum resident set size: 1768 pages
% 4.13/1.01 % E---3.1 exiting
% 4.13/1.01 % E exiting
%------------------------------------------------------------------------------