%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT332+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 : 600s
% DateTime : Sun Jul 17 04:47:17 EDT 2022
% Result : Theorem 1.88s 6.05s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 435 ( 69 equ)
% Maximal formula atoms : 98 ( 7 avg)
% Number of connectives : 606 ( 233 ~; 275 |; 79 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t72_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t72_filter_2) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',d2_filter_0) ).
fof(t75_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_nat_lat(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+297.ax',t75_nat_lat) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d8_filter_2) ).
fof(d10_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',d10_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).
fof(fc2_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).
fof(dt_k1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',dt_k1_filter_0) ).
fof(d16_nat_lat,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( m2_nat_lat(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
& u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+297.ax',d16_nat_lat) ).
fof(redefinition_k1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_k1_filter_2) ).
fof(dt_k1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_2(k1_filter_2(X1),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',dt_k1_filter_2) ).
fof(t70_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
=> k8_filter_0(X1,X2) = k23_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t70_filter_2) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(assume_negation,[status(cth)],[t72_filter_2]) ).
fof(c_0_13,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| k1_filter_0(X2) = u1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_filter_0])])]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ( k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m2_nat_lat(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t75_nat_lat])])]) ).
fof(c_0_16,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| k17_filter_2(X2) = u1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_filter_2])])]) ).
fof(c_0_17,plain,
! [X6,X7,X8,X11,X12] :
( ( v1_funct_1(esk40_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk40_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk40_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_1(esk41_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk41_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk41_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk40_3(X6,X7,X8) = k1_realset1(u2_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk41_3(X6,X7,X8) = k1_realset1(u1_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( X8 = g3_lattices(X7,esk40_3(X6,X7,X8),esk41_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12)
| X8 = k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d10_filter_0])])])])])])])]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( l3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_filter_0])])])]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v4_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v5_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v6_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v7_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v8_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v9_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_filter_0])])])]) ).
fof(c_0_20,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_0(k1_filter_0(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_filter_0])])]) ).
cnf(c_0_21,plain,
( k1_filter_0(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_25,plain,
! [X3,X4] :
( ( r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( u2_lattices(X4) = k1_realset1(u2_lattices(X3),u1_struct_0(X4))
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( u1_lattices(X4) = k1_realset1(u1_lattices(X3),u1_struct_0(X4))
| ~ m2_nat_lat(X4,X3)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ r1_tarski(u1_struct_0(X4),u1_struct_0(X3))
| u2_lattices(X4) != k1_realset1(u2_lattices(X3),u1_struct_0(X4))
| u1_lattices(X4) != k1_realset1(u1_lattices(X3),u1_struct_0(X4))
| m2_nat_lat(X4,X3)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d16_nat_lat])])])])])])]) ).
cnf(c_0_26,plain,
( m2_nat_lat(X1,X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| k1_filter_2(X2) = k1_filter_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k1_filter_2])])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk40_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| l3_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( v3_struct_0(X2)
| v10_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k8_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( m1_filter_0(k1_filter_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
k1_filter_0(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| u2_lattices(X2) = k1_realset1(u2_lattices(X1),u1_struct_0(X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
m2_nat_lat(esk1_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk41_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| u1_lattices(X2) = k1_realset1(u1_lattices(X1),u1_struct_0(X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_41,plain,
( k1_filter_2(X1) = k1_filter_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| X3 = g3_lattices(X2,esk40_3(X1,X2,X3),esk41_3(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,plain,
( esk40_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_44,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_23])]),c_0_24]),c_0_34]) ).
cnf(c_0_45,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_46,plain,
( esk41_3(X1,X2,k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_47,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_48,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_2(k1_filter_2(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_filter_2])])]) ).
cnf(c_0_49,negated_conjecture,
( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
k1_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_22]),c_0_23])]),c_0_24]),c_0_34]) ).
cnf(c_0_51,plain,
( g3_lattices(X1,esk40_3(X2,X1,k8_filter_0(X2,X1)),esk41_3(X2,X1,k8_filter_0(X2,X1))) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_52,negated_conjecture,
esk40_3(esk1_0,u1_struct_0(esk1_0),k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(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_43,c_0_44]),c_0_45]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_53,negated_conjecture,
esk41_3(esk1_0,u1_struct_0(esk1_0),k8_filter_0(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(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_46,c_0_44]),c_0_47]),c_0_22]),c_0_23])]),c_0_24]) ).
fof(c_0_54,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_2(X4,X3)
| k8_filter_0(X3,X4) = k23_filter_2(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t70_filter_2])])])])])]) ).
cnf(c_0_55,plain,
( m1_filter_2(k1_filter_2(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_57,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = k8_filter_0(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_22]),c_0_23])]),c_0_24]),c_0_52]),c_0_53]) ).
cnf(c_0_58,plain,
( k8_filter_0(X1,X2) = k23_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
m1_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_22]),c_0_23])]),c_0_24]),c_0_50]) ).
cnf(c_0_60,negated_conjecture,
k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != k8_filter_0(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
$false,
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_58,c_0_59]),c_0_22]),c_0_23])]),c_0_24]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT332+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 04:04:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.88/6.05 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.88/6.05 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.88/6.05 # Preprocessing time : 1.250 s
% 1.88/6.05
% 1.88/6.05 # Proof found!
% 1.88/6.05 # SZS status Theorem
% 1.88/6.05 # SZS output start CNFRefutation
% See solution above
% 1.88/6.05 # Proof object total steps : 62
% 1.88/6.05 # Proof object clause steps : 37
% 1.88/6.05 # Proof object formula steps : 25
% 1.88/6.05 # Proof object conjectures : 22
% 1.88/6.05 # Proof object clause conjectures : 19
% 1.88/6.05 # Proof object formula conjectures : 3
% 1.88/6.05 # Proof object initial clauses used : 19
% 1.88/6.05 # Proof object initial formulas used : 12
% 1.88/6.05 # Proof object generating inferences : 15
% 1.88/6.05 # Proof object simplifying inferences : 63
% 1.88/6.05 # Training examples: 0 positive, 0 negative
% 1.88/6.05 # Parsed axioms : 34745
% 1.88/6.05 # Removed by relevancy pruning/SinE : 34542
% 1.88/6.05 # Initial clauses : 489
% 1.88/6.05 # Removed in clause preprocessing : 13
% 1.88/6.05 # Initial clauses in saturation : 476
% 1.88/6.05 # Processed clauses : 4694
% 1.88/6.05 # ...of these trivial : 179
% 1.88/6.05 # ...subsumed : 505
% 1.88/6.05 # ...remaining for further processing : 4009
% 1.88/6.05 # Other redundant clauses eliminated : 10
% 1.88/6.05 # Clauses deleted for lack of memory : 0
% 1.88/6.05 # Backward-subsumed : 37
% 1.88/6.05 # Backward-rewritten : 172
% 1.88/6.05 # Generated clauses : 98762
% 1.88/6.05 # ...of the previous two non-trivial : 97996
% 1.88/6.05 # Contextual simplify-reflections : 1354
% 1.88/6.05 # Paramodulations : 98712
% 1.88/6.05 # Factorizations : 2
% 1.88/6.05 # Equation resolutions : 49
% 1.88/6.05 # Current number of processed clauses : 3793
% 1.88/6.05 # Positive orientable unit clauses : 1066
% 1.88/6.05 # Positive unorientable unit clauses: 2
% 1.88/6.05 # Negative unit clauses : 75
% 1.88/6.05 # Non-unit-clauses : 2650
% 1.88/6.05 # Current number of unprocessed clauses: 92330
% 1.88/6.05 # ...number of literals in the above : 588498
% 1.88/6.05 # Current number of archived formulas : 0
% 1.88/6.05 # Current number of archived clauses : 209
% 1.88/6.05 # Clause-clause subsumption calls (NU) : 4225444
% 1.88/6.05 # Rec. Clause-clause subsumption calls : 355668
% 1.88/6.05 # Non-unit clause-clause subsumptions : 1813
% 1.88/6.05 # Unit Clause-clause subsumption calls : 651748
% 1.88/6.05 # Rewrite failures with RHS unbound : 24
% 1.88/6.05 # BW rewrite match attempts : 20984
% 1.88/6.05 # BW rewrite match successes : 58
% 1.88/6.05 # Condensation attempts : 0
% 1.88/6.05 # Condensation successes : 0
% 1.88/6.05 # Termbank termtop insertions : 6829942
% 1.88/6.05
% 1.88/6.05 # -------------------------------------------------
% 1.88/6.05 # User time : 3.837 s
% 1.88/6.05 # System time : 0.094 s
% 1.88/6.05 # Total time : 3.931 s
% 1.88/6.05 # Maximum resident set size: 172616 pages
%------------------------------------------------------------------------------