TSTP Solution File: LAT311+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT311+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 23:24:32 EDT 2024
% Result : Theorem 224.03s 28.88s
% Output : CNFRefutation 224.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 109 ( 19 unt; 0 def)
% Number of atoms : 519 ( 59 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 622 ( 212 ~; 221 |; 129 &)
% ( 0 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-2 aty)
% Number of variables : 149 ( 1 sgn 103 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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(t40_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_filter_2) ).
fof(dt_k7_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(t37_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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(t29_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_filter_0) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(redefinition_k3_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(t30_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
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/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t40_filter_2])]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).
fof(c_0_23,plain,
! [X25,X26] :
( v3_struct_0(X25)
| ~ v10_lattices(X25)
| ~ l3_lattices(X25)
| ~ m1_subset_1(X26,k1_zfmisc_1(u1_struct_0(X25)))
| k7_filter_2(X25,X26) = X26 ),
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_24,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& r2_hidden(esk2_0,esk3_0)
& ~ r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t37_filter_2]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(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]) ).
fof(c_0_28,plain,
! [X49,X50] :
( v3_struct_0(X49)
| ~ v10_lattices(X49)
| ~ l3_lattices(X49)
| ~ m1_subset_1(X50,k1_zfmisc_1(u1_struct_0(X49)))
| m1_subset_1(k7_filter_2(X49,X50),k1_zfmisc_1(u1_struct_0(k1_lattice2(X49)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_34,plain,
! [X167,X168,X169] :
( ( k3_filter_2(k1_lattice2(X167),k7_filter_2(X167,X168)) = k19_filter_2(X167,X168)
| v1_xboole_0(X169)
| ~ m1_subset_1(X169,k1_zfmisc_1(u1_struct_0(k1_lattice2(X167))))
| v1_xboole_0(X168)
| ~ m1_subset_1(X168,k1_zfmisc_1(u1_struct_0(X167)))
| v3_struct_0(X167)
| ~ v10_lattices(X167)
| ~ l3_lattices(X167) )
& ( k3_filter_2(X167,X168) = k19_filter_2(k1_lattice2(X167),k7_filter_2(X167,X168))
| v1_xboole_0(X169)
| ~ m1_subset_1(X169,k1_zfmisc_1(u1_struct_0(k1_lattice2(X167))))
| v1_xboole_0(X168)
| ~ m1_subset_1(X168,k1_zfmisc_1(u1_struct_0(X167)))
| v3_struct_0(X167)
| ~ v10_lattices(X167)
| ~ l3_lattices(X167) )
& ( k3_filter_2(X167,k8_filter_2(X167,X169)) = k19_filter_2(k1_lattice2(X167),X169)
| v1_xboole_0(X169)
| ~ m1_subset_1(X169,k1_zfmisc_1(u1_struct_0(k1_lattice2(X167))))
| v1_xboole_0(X168)
| ~ m1_subset_1(X168,k1_zfmisc_1(u1_struct_0(X167)))
| v3_struct_0(X167)
| ~ v10_lattices(X167)
| ~ l3_lattices(X167) )
& ( k3_filter_2(k1_lattice2(X167),X169) = k19_filter_2(X167,k8_filter_2(X167,X169))
| v1_xboole_0(X169)
| ~ m1_subset_1(X169,k1_zfmisc_1(u1_struct_0(k1_lattice2(X167))))
| v1_xboole_0(X168)
| ~ m1_subset_1(X168,k1_zfmisc_1(u1_struct_0(X167)))
| v3_struct_0(X167)
| ~ v10_lattices(X167)
| ~ l3_lattices(X167) ) ),
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_35,plain,
! [X135] :
( ( m1_subset_1(esk27_1(X135),k1_zfmisc_1(u1_struct_0(X135)))
| v3_struct_0(X135)
| ~ l1_struct_0(X135) )
& ( ~ v1_xboole_0(esk27_1(X135))
| v3_struct_0(X135)
| ~ l1_struct_0(X135) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_36,plain,
! [X27,X28] :
( v3_struct_0(X27)
| ~ v10_lattices(X27)
| ~ l3_lattices(X27)
| ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(k1_lattice2(X27))))
| k8_filter_2(X27,X28) = X28 ),
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_37,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
k7_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t29_filter_0]) ).
cnf(c_0_40,plain,
( k3_filter_2(k1_lattice2(X1),X2) = k19_filter_2(X1,k8_filter_2(X1,X2))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( m1_subset_1(esk27_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk27_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))),
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_37,c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_38]) ).
fof(c_0_45,plain,
! [X157,X158,X159] :
( v3_struct_0(X157)
| ~ v10_lattices(X157)
| ~ l3_lattices(X157)
| ~ m1_subset_1(X158,u1_struct_0(X157))
| v1_xboole_0(X159)
| ~ m1_subset_1(X159,k1_zfmisc_1(u1_struct_0(X157)))
| ~ r2_hidden(X158,X159)
| r1_tarski(k2_filter_0(X157,X158),k3_filter_0(X157,X159)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_46,plain,
! [X172,X173,X174] :
( ~ r2_hidden(X172,X173)
| ~ m1_subset_1(X173,k1_zfmisc_1(X174))
| m1_subset_1(X172,X174) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
fof(c_0_47,plain,
! [X179,X180] :
( ~ r2_hidden(X179,X180)
| ~ v1_xboole_0(X180) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_48,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
k8_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_50,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_51,plain,
! [X53] :
( ~ l1_lattices(X53)
| l1_struct_0(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_52,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d9_filter_2]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| v1_xboole_0(X3)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_57,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_filter_2]) ).
cnf(c_0_58,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_49]),c_0_31]),c_0_32])]),c_0_50]),c_0_33]) ).
cnf(c_0_59,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_60,plain,
! [X55] :
( ( l1_lattices(X55)
| ~ l3_lattices(X55) )
& ( l2_lattices(X55)
| ~ l3_lattices(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_61,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_62,plain,
! [X23,X24] :
( v3_struct_0(X23)
| ~ v10_lattices(X23)
| ~ l3_lattices(X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| k5_filter_2(X23,X24) = X24 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_63,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_2]) ).
fof(c_0_64,plain,
! [X29,X30] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| ~ m1_subset_1(X30,u1_struct_0(X29))
| k18_filter_2(X29,X30) = a_2_0_filter_2(X29,X30) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_65,plain,
( r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| v3_struct_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
fof(c_0_66,plain,
! [X38] :
( ( v3_lattices(k1_lattice2(X38))
| ~ l3_lattices(X38) )
& ( l3_lattices(k1_lattice2(X38))
| ~ l3_lattices(X38) ) ),
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_67,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_68,plain,
! [X141,X142] :
( v3_struct_0(X141)
| ~ v10_lattices(X141)
| ~ l3_lattices(X141)
| v1_xboole_0(X142)
| ~ m1_subset_1(X142,k1_zfmisc_1(u1_struct_0(X141)))
| k3_filter_2(X141,X142) = k3_filter_0(X141,X142) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
cnf(c_0_69,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| ~ l1_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_71,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2]) ).
fof(c_0_72,plain,
! [X47,X48] :
( v3_struct_0(X47)
| ~ v10_lattices(X47)
| ~ l3_lattices(X47)
| ~ m1_subset_1(X48,u1_struct_0(X47))
| m1_subset_1(k5_filter_2(X47,X48),u1_struct_0(k1_lattice2(X47))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_73,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_74,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_75,plain,
! [X165,X166] :
( ( k18_filter_2(X165,X166) = k2_filter_2(k1_lattice2(X165),k5_filter_2(X165,X166))
| ~ m1_subset_1(X166,u1_struct_0(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) )
& ( k18_filter_2(k1_lattice2(X165),k5_filter_2(X165,X166)) = k2_filter_2(X165,X166)
| ~ m1_subset_1(X166,u1_struct_0(X165))
| v3_struct_0(X165)
| ~ v10_lattices(X165)
| ~ l3_lattices(X165) ) ),
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_63])])])])]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,negated_conjecture,
( r1_tarski(k2_filter_0(k1_lattice2(esk1_0),X1),k3_filter_0(k1_lattice2(esk1_0),esk3_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(X1,esk3_0)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_44]) ).
cnf(c_0_78,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_79,plain,
! [X105] :
( ( ~ v3_struct_0(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v3_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v4_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v5_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v6_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v7_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v8_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v9_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) )
& ( v10_lattices(k1_lattice2(X105))
| v3_struct_0(X105)
| ~ v10_lattices(X105)
| ~ l3_lattices(X105) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
cnf(c_0_80,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,negated_conjecture,
k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_31])]) ).
fof(c_0_82,plain,
! [X139,X140] :
( v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ l3_lattices(X139)
| ~ m1_subset_1(X140,u1_struct_0(X139))
| k2_filter_2(X139,X140) = k2_filter_0(X139,X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_85,plain,
( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
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_74]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_87,negated_conjecture,
( r1_tarski(k2_filter_0(k1_lattice2(esk1_0),X1),k3_filter_0(k1_lattice2(esk1_0),esk3_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(X1,esk3_0)
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_31])]) ).
cnf(c_0_88,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_89,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_50]),c_0_81]) ).
cnf(c_0_90,plain,
( v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0))),
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_83,c_0_74]),c_0_31]),c_0_32])]),c_0_33]),c_0_84]) ).
cnf(c_0_92,negated_conjecture,
k2_filter_2(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_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_85,c_0_74]),c_0_31]),c_0_32])]),c_0_33]),c_0_84]),c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( r1_tarski(k2_filter_0(k1_lattice2(esk1_0),X1),k3_filter_0(k1_lattice2(esk1_0),esk3_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_94,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_95,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_78]),c_0_31])]) ).
cnf(c_0_96,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
fof(c_0_97,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_98,negated_conjecture,
( r1_tarski(k2_filter_0(k1_lattice2(esk1_0),esk2_0),k3_filter_0(k1_lattice2(esk1_0),esk3_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_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_95,c_0_88]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_100,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_78]),c_0_31])]) ).
cnf(c_0_101,negated_conjecture,
~ r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_102,plain,
! [X91] :
( ( ~ v3_struct_0(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ l3_lattices(X91) )
& ( v3_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ l3_lattices(X91) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])]) ).
cnf(c_0_103,negated_conjecture,
( r1_tarski(k2_filter_0(k1_lattice2(esk1_0),esk2_0),k19_filter_2(esk1_0,esk3_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_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_100,c_0_88]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_105,negated_conjecture,
~ r1_tarski(a_2_0_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_101,c_0_86]) ).
cnf(c_0_106,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_107,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_31])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT311+1 : TPTP v8.2.0. Released v3.4.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 20:39:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 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
% 224.03/28.88 # Version: 3.1.0
% 224.03/28.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.03/28.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.03/28.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.03/28.88 # Starting new_bool_3 with 300s (1) cores
% 224.03/28.88 # Starting new_bool_1 with 300s (1) cores
% 224.03/28.88 # Starting sh5l with 300s (1) cores
% 224.03/28.88 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21263 completed with status 0
% 224.03/28.88 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 224.03/28.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.03/28.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.03/28.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.03/28.88 # No SInE strategy applied
% 224.03/28.88 # Search class: FGHSM-FSLM31-MFFFFFNN
% 224.03/28.88 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 224.03/28.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 224.03/28.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 224.03/28.88 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 224.03/28.88 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 224.03/28.88 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 224.03/28.88 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21270 completed with status 0
% 224.03/28.88 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 224.03/28.88 # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.03/28.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.03/28.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.03/28.88 # No SInE strategy applied
% 224.03/28.88 # Search class: FGHSM-FSLM31-MFFFFFNN
% 224.03/28.88 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 224.03/28.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 224.03/28.88 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 224.03/28.88 # Preprocessing time : 0.003 s
% 224.03/28.88 # Presaturation interreduction done
% 224.03/28.88
% 224.03/28.88 # Proof found!
% 224.03/28.88 # SZS status Theorem
% 224.03/28.88 # SZS output start CNFRefutation
% See solution above
% 224.03/28.88 # Parsed axioms : 101
% 224.03/28.88 # Removed by relevancy pruning/SinE : 0
% 224.03/28.88 # Initial clauses : 192
% 224.03/28.88 # Removed in clause preprocessing : 11
% 224.03/28.88 # Initial clauses in saturation : 181
% 224.03/28.88 # Processed clauses : 76992
% 224.03/28.88 # ...of these trivial : 574
% 224.03/28.88 # ...subsumed : 57916
% 224.03/28.88 # ...remaining for further processing : 18502
% 224.03/28.88 # Other redundant clauses eliminated : 2
% 224.03/28.88 # Clauses deleted for lack of memory : 0
% 224.03/28.88 # Backward-subsumed : 418
% 224.03/28.88 # Backward-rewritten : 1443
% 224.03/28.88 # Generated clauses : 563021
% 224.03/28.88 # ...of the previous two non-redundant : 558642
% 224.03/28.88 # ...aggressively subsumed : 0
% 224.03/28.88 # Contextual simplify-reflections : 587
% 224.03/28.88 # Paramodulations : 562803
% 224.03/28.88 # Factorizations : 216
% 224.03/28.88 # NegExts : 0
% 224.03/28.88 # Equation resolutions : 2
% 224.03/28.88 # Disequality decompositions : 0
% 224.03/28.88 # Total rewrite steps : 82363
% 224.03/28.88 # ...of those cached : 80590
% 224.03/28.88 # Propositional unsat checks : 3
% 224.03/28.88 # Propositional check models : 0
% 224.03/28.88 # Propositional check unsatisfiable : 0
% 224.03/28.88 # Propositional clauses : 0
% 224.03/28.88 # Propositional clauses after purity: 0
% 224.03/28.88 # Propositional unsat core size : 0
% 224.03/28.88 # Propositional preprocessing time : 0.000
% 224.03/28.88 # Propositional encoding time : 1.131
% 224.03/28.88 # Propositional solver time : 1.142
% 224.03/28.88 # Success case prop preproc time : 0.000
% 224.03/28.88 # Success case prop encoding time : 0.000
% 224.03/28.88 # Success case prop solver time : 0.000
% 224.03/28.88 # Current number of processed clauses : 16470
% 224.03/28.88 # Positive orientable unit clauses : 3149
% 224.03/28.88 # Positive unorientable unit clauses: 0
% 224.03/28.88 # Negative unit clauses : 996
% 224.03/28.88 # Non-unit-clauses : 12325
% 224.03/28.88 # Current number of unprocessed clauses: 475336
% 224.03/28.88 # ...number of literals in the above : 2198640
% 224.03/28.88 # Current number of archived formulas : 0
% 224.03/28.88 # Current number of archived clauses : 2030
% 224.03/28.88 # Clause-clause subsumption calls (NU) : 14656137
% 224.03/28.88 # Rec. Clause-clause subsumption calls : 3604421
% 224.03/28.88 # Non-unit clause-clause subsumptions : 20410
% 224.03/28.88 # Unit Clause-clause subsumption calls : 1717215
% 224.03/28.88 # Rewrite failures with RHS unbound : 0
% 224.03/28.88 # BW rewrite match attempts : 55913
% 224.03/28.88 # BW rewrite match successes : 189
% 224.03/28.88 # Condensation attempts : 0
% 224.03/28.88 # Condensation successes : 0
% 224.03/28.88 # Termbank termtop insertions : 21270375
% 224.03/28.88 # Search garbage collected termcells : 2327
% 224.03/28.88
% 224.03/28.88 # -------------------------------------------------
% 224.03/28.88 # User time : 27.356 s
% 224.03/28.88 # System time : 0.562 s
% 224.03/28.88 # Total time : 27.919 s
% 224.03/28.88 # Maximum resident set size: 2444 pages
% 224.03/28.88
% 224.03/28.88 # -------------------------------------------------
% 224.03/28.88 # User time : 137.039 s
% 224.03/28.88 # System time : 3.076 s
% 224.03/28.88 # Total time : 140.115 s
% 224.03/28.88 # Maximum resident set size: 1804 pages
% 224.03/28.88 % E---3.1 exiting
% 224.03/28.89 % E exiting
%------------------------------------------------------------------------------