TSTP Solution File: LAT322+4 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT322+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:10:40 EDT 2023
% Result : Theorem 19.14s 7.99s
% Output : CNFRefutation 19.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 145 ( 36 unt; 0 def)
% Number of atoms : 751 ( 52 equ)
% Maximal formula atoms : 64 ( 5 avg)
% Number of connectives : 940 ( 334 ~; 346 |; 181 &)
% ( 16 <=>; 63 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn; 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t21_filter_2) ).
fof(t58_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t58_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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',fc1_lattice2) ).
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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',redefinition_m1_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/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',dt_k1_lattice2) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t18_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',dt_m1_filter_0) ).
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/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',d6_filter_2) ).
fof(t54_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t54_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',redefinition_k15_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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',d2_filter_0) ).
fof(t44_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t44_filter_2) ).
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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',d8_filter_2) ).
fof(t58_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t58_filter_0) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t33_filter_2) ).
fof(t40_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> v3_filter_0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t40_filter_0) ).
fof(t37_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v3_filter_0(X1)
& l3_lattices(X1) )
=> v14_lattices(X1) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t37_filter_0) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t63_lattice2) ).
fof(t79_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t79_lattice2) ).
fof(t12_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> r2_hidden(k6_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t12_filter_0) ).
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/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t15_filter_0) ).
fof(t35_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( v1_filter_0(X2,X1)
& r2_hidden(k5_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p',t35_lopclset) ).
fof(c_0_23,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_24,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_filter_2])]) ).
fof(c_0_25,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_26,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]) ).
fof(c_0_27,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_28,plain,
! [X896,X897] :
( ( ~ m2_filter_2(X897,X896)
| m1_filter_2(X897,k1_lattice2(X896))
| v3_struct_0(X896)
| ~ v10_lattices(X896)
| ~ l3_lattices(X896) )
& ( ~ m1_filter_2(X897,k1_lattice2(X896))
| m2_filter_2(X897,X896)
| v3_struct_0(X896)
| ~ v10_lattices(X896)
| ~ l3_lattices(X896) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_29,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) )
& ( esk2_0 != k17_filter_2(esk1_0)
| r2_filter_2(esk1_0,esk2_0) )
& ( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_30,plain,
! [X273] :
( ( ~ v3_struct_0(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v3_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v4_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v5_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v6_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v7_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v8_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v9_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) )
& ( v10_lattices(k1_lattice2(X273))
| v3_struct_0(X273)
| ~ v10_lattices(X273)
| ~ l3_lattices(X273) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_31,plain,
! [X298] :
( ( v3_lattices(k1_lattice2(X298))
| ~ l3_lattices(X298) )
& ( l3_lattices(k1_lattice2(X298))
| ~ l3_lattices(X298) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_32,plain,
! [X272] :
( ( ~ v3_struct_0(k1_lattice2(X272))
| v3_struct_0(X272)
| ~ l3_lattices(X272) )
& ( v3_lattices(k1_lattice2(X272))
| v3_struct_0(X272)
| ~ l3_lattices(X272) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_33,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t18_lattice2]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_35,plain,
! [X891,X892] :
( ( ~ m1_filter_2(X892,X891)
| m1_filter_0(X892,X891)
| v3_struct_0(X891)
| ~ v10_lattices(X891)
| ~ l3_lattices(X891) )
& ( ~ m1_filter_0(X892,X891)
| m1_filter_2(X892,X891)
| v3_struct_0(X891)
| ~ v10_lattices(X891)
| ~ l3_lattices(X891) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_36,plain,
( m1_filter_2(X1,k1_lattice2(X2))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_44,plain,
! [X275] :
( ( u1_struct_0(X275) = u1_struct_0(k1_lattice2(X275))
| v3_struct_0(X275)
| ~ l3_lattices(X275) )
& ( u2_lattices(X275) = u1_lattices(k1_lattice2(X275))
| v3_struct_0(X275)
| ~ l3_lattices(X275) )
& ( u1_lattices(X275) = u2_lattices(k1_lattice2(X275))
| v3_struct_0(X275)
| ~ l3_lattices(X275) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_45,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_46,plain,
! [X849,X850] :
( ( ~ v1_xboole_0(X850)
| ~ m1_filter_0(X850,X849)
| v3_struct_0(X849)
| ~ v10_lattices(X849)
| ~ l3_lattices(X849) )
& ( m1_subset_1(X850,k1_zfmisc_1(u1_struct_0(X849)))
| ~ m1_filter_0(X850,X849)
| v3_struct_0(X849)
| ~ v10_lattices(X849)
| ~ l3_lattices(X849) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
cnf(c_0_47,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_49,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_38])]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_51,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_40]) ).
cnf(c_0_52,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
<=> ( ~ v3_struct_0(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t54_filter_2]) ).
fof(c_0_54,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_55,plain,
! [X900,X901] :
( v3_struct_0(X900)
| ~ v10_lattices(X900)
| ~ l3_lattices(X900)
| ~ m1_subset_1(X901,k1_zfmisc_1(u1_struct_0(X900)))
| k7_filter_2(X900,X901) = X901 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_56,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
m1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_58,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_40]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_60,plain,
! [X302] :
( ( ~ v3_struct_0(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ v17_lattices(X302)
| ~ l3_lattices(X302)
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( v10_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ v17_lattices(X302)
| ~ l3_lattices(X302)
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( v17_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ v17_lattices(X302)
| ~ l3_lattices(X302)
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( l3_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ v17_lattices(X302)
| ~ l3_lattices(X302)
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( ~ v3_struct_0(X302)
| v3_struct_0(k1_lattice2(X302))
| ~ v10_lattices(k1_lattice2(X302))
| ~ v17_lattices(k1_lattice2(X302))
| ~ l3_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( v10_lattices(X302)
| v3_struct_0(k1_lattice2(X302))
| ~ v10_lattices(k1_lattice2(X302))
| ~ v17_lattices(k1_lattice2(X302))
| ~ l3_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( v17_lattices(X302)
| v3_struct_0(k1_lattice2(X302))
| ~ v10_lattices(k1_lattice2(X302))
| ~ v17_lattices(k1_lattice2(X302))
| ~ l3_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) )
& ( l3_lattices(X302)
| v3_struct_0(k1_lattice2(X302))
| ~ v10_lattices(k1_lattice2(X302))
| ~ v17_lattices(k1_lattice2(X302))
| ~ l3_lattices(k1_lattice2(X302))
| v3_struct_0(X302)
| ~ v10_lattices(X302)
| ~ l3_lattices(X302) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_61,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t44_filter_2]) ).
fof(c_0_62,plain,
! [X305,X306] :
( v3_struct_0(X305)
| ~ v10_lattices(X305)
| ~ l3_lattices(X305)
| ~ m2_filter_2(X306,X305)
| k15_filter_2(X305,X306) = k7_filter_2(X305,X306) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
cnf(c_0_63,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_55]) ).
cnf(c_0_64,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(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_56,c_0_57]),c_0_58]),c_0_49]),c_0_50])]),c_0_51]) ).
fof(c_0_65,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t58_filter_0]) ).
fof(c_0_67,plain,
! [X1467] :
( v3_struct_0(X1467)
| ~ v10_lattices(X1467)
| ~ l3_lattices(X1467)
| k1_filter_0(X1467) = u1_struct_0(X1467) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
cnf(c_0_68,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_69,plain,
! [X76,X77] :
( ( ~ v1_filter_2(X77,X76)
| v2_filter_0(k15_filter_2(X76,X77),k1_lattice2(X76))
| ~ m2_filter_2(X77,X76)
| v3_struct_0(X76)
| ~ v10_lattices(X76)
| ~ l3_lattices(X76) )
& ( ~ v2_filter_0(k15_filter_2(X76,X77),k1_lattice2(X76))
| v1_filter_2(X77,X76)
| ~ m2_filter_2(X77,X76)
| v3_struct_0(X76)
| ~ v10_lattices(X76)
| ~ l3_lattices(X76) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
k7_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_63,c_0_64]),c_0_38]),c_0_39])]),c_0_40]) ).
fof(c_0_72,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
fof(c_0_73,plain,
! [X79] :
( v3_struct_0(X79)
| ~ v10_lattices(X79)
| ~ l3_lattices(X79)
| k17_filter_2(X79) = u1_struct_0(X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
fof(c_0_74,plain,
! [X500,X501] :
( ( X501 = k1_filter_0(X500)
| ~ v2_filter_0(X501,X500)
| v1_filter_0(X501,X500)
| ~ m1_filter_0(X501,X500)
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| ~ l3_lattices(X500) )
& ( X501 != k1_filter_0(X500)
| ~ v1_filter_0(X501,X500)
| ~ m1_filter_0(X501,X500)
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| ~ l3_lattices(X500) )
& ( v2_filter_0(X501,X500)
| ~ v1_filter_0(X501,X500)
| ~ m1_filter_0(X501,X500)
| v3_struct_0(X500)
| ~ v10_lattices(X500)
| ~ v17_lattices(X500)
| ~ l3_lattices(X500) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
inference(cn,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_78,plain,
( v2_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v1_filter_2(X1,X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
k15_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_37]),c_0_71]),c_0_38]),c_0_39])]),c_0_40]) ).
fof(c_0_80,plain,
! [X58,X59] :
( ( ~ r2_filter_2(X58,X59)
| v1_filter_0(k15_filter_2(X58,X59),k1_lattice2(X58))
| ~ m2_filter_2(X59,X58)
| v3_struct_0(X58)
| ~ v10_lattices(X58)
| ~ l3_lattices(X58) )
& ( ~ v1_filter_0(k15_filter_2(X58,X59),k1_lattice2(X58))
| r2_filter_2(X58,X59)
| ~ m2_filter_2(X59,X58)
| v3_struct_0(X58)
| ~ v10_lattices(X58)
| ~ l3_lattices(X58) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_82,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> v3_filter_0(X1) ),
inference(fof_simplification,[status(thm)],[t40_filter_0]) ).
cnf(c_0_83,plain,
( X1 = k1_filter_0(X2)
| v1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v2_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,negated_conjecture,
k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_50]),c_0_58]),c_0_49])]),c_0_51]) ).
cnf(c_0_85,negated_conjecture,
v17_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_39]),c_0_77]),c_0_38])]),c_0_40]) ).
cnf(c_0_86,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v1_filter_2(esk2_0,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_78,c_0_37]),c_0_79]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_87,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_88,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| esk2_0 != k17_filter_2(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_90,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_81,c_0_39]),c_0_38])]),c_0_40]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v3_filter_0(X1)
& l3_lattices(X1) )
=> v14_lattices(X1) ),
inference(fof_simplification,[status(thm)],[t37_filter_0]) ).
fof(c_0_92,plain,
! [X905] :
( v3_struct_0(X905)
| ~ v10_lattices(X905)
| ~ v17_lattices(X905)
| ~ l3_lattices(X905)
| v3_filter_0(X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])]) ).
cnf(c_0_93,plain,
( v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_94,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_57]),c_0_84]),c_0_85]),c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_95,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_37]),c_0_79]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_97,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
inference(rw,[status(thm)],[c_0_89,c_0_90]) ).
fof(c_0_98,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
fof(c_0_99,plain,
! [X318] :
( v3_struct_0(X318)
| ~ v10_lattices(X318)
| ~ v3_filter_0(X318)
| ~ l3_lattices(X318)
| v14_lattices(X318) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| v3_filter_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_101,negated_conjecture,
l3_lattices(k1_lattice2(k1_lattice2(esk1_0))),
inference(spm,[status(thm)],[c_0_42,c_0_50]) ).
cnf(c_0_102,negated_conjecture,
v10_lattices(k1_lattice2(k1_lattice2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_50]),c_0_51]),c_0_49])]) ).
cnf(c_0_103,negated_conjecture,
~ v3_struct_0(k1_lattice2(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_50]),c_0_51]) ).
cnf(c_0_104,negated_conjecture,
v17_lattices(k1_lattice2(k1_lattice2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_50]),c_0_49])]),c_0_51]),c_0_85])]) ).
fof(c_0_105,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t79_lattice2]) ).
fof(c_0_106,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> r2_hidden(k6_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[t12_filter_0]) ).
fof(c_0_107,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_108,plain,
( v2_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_109,negated_conjecture,
( v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_filter_2(esk1_0,esk2_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_93,c_0_37]),c_0_79]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_110,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_97]) ).
fof(c_0_111,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( v1_filter_0(X2,X1)
& r2_hidden(k5_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[t35_lopclset]) ).
fof(c_0_112,plain,
! [X292] :
( ( ~ v13_lattices(X292)
| v14_lattices(k1_lattice2(X292))
| v3_struct_0(X292)
| ~ v10_lattices(X292)
| ~ l3_lattices(X292) )
& ( ~ v14_lattices(k1_lattice2(X292))
| v13_lattices(X292)
| v3_struct_0(X292)
| ~ v10_lattices(X292)
| ~ l3_lattices(X292) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_filter_0(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_114,negated_conjecture,
v3_filter_0(k1_lattice2(k1_lattice2(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]),c_0_103]),c_0_104])]) ).
fof(c_0_115,plain,
! [X296] :
( v3_struct_0(X296)
| ~ v10_lattices(X296)
| ~ v14_lattices(X296)
| ~ l3_lattices(X296)
| k6_lattices(X296) = k5_lattices(k1_lattice2(X296)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])]) ).
cnf(c_0_116,negated_conjecture,
v3_filter_0(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_39]),c_0_77]),c_0_38])]),c_0_40]) ).
fof(c_0_117,plain,
! [X313,X314] :
( v3_struct_0(X313)
| ~ v10_lattices(X313)
| ~ l3_lattices(X313)
| ~ m1_filter_0(X314,X313)
| v3_struct_0(X313)
| ~ v10_lattices(X313)
| ~ v14_lattices(X313)
| ~ l3_lattices(X313)
| r2_hidden(k6_lattices(X313),X314) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])]) ).
fof(c_0_118,plain,
! [X848] :
( v3_struct_0(X848)
| ~ v10_lattices(X848)
| ~ l3_lattices(X848)
| m1_filter_0(u1_struct_0(X848),X848) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])]) ).
cnf(c_0_119,negated_conjecture,
( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_120,plain,
( v1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_121,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_57]),c_0_85]),c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_122,negated_conjecture,
v1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
fof(c_0_123,plain,
! [X270,X271] :
( v3_struct_0(X270)
| ~ v10_lattices(X270)
| ~ v13_lattices(X270)
| ~ l3_lattices(X270)
| ~ m1_filter_0(X271,X270)
| ~ v1_filter_0(X271,X270)
| ~ r2_hidden(k5_lattices(X270),X271) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])]) ).
cnf(c_0_124,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_125,negated_conjecture,
v14_lattices(k1_lattice2(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_113,c_0_101]),c_0_114]),c_0_102])]),c_0_103]) ).
cnf(c_0_126,plain,
( v3_struct_0(X1)
| k6_lattices(X1) = k5_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_127,negated_conjecture,
v14_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_113,c_0_39]),c_0_116]),c_0_38])]),c_0_40]) ).
cnf(c_0_128,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_129,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_118]) ).
cnf(c_0_130,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_119,c_0_90]) ).
cnf(c_0_131,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| ~ v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_37]),c_0_79]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_132,negated_conjecture,
v2_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).
cnf(c_0_133,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| ~ r2_hidden(k5_lattices(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_134,negated_conjecture,
v13_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_50]),c_0_125]),c_0_49])]),c_0_51]) ).
cnf(c_0_135,negated_conjecture,
k5_lattices(k1_lattice2(esk1_0)) = k6_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_126,c_0_39]),c_0_127]),c_0_38])]),c_0_40]) ).
cnf(c_0_136,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(cn,[status(thm)],[c_0_128]) ).
cnf(c_0_137,negated_conjecture,
m1_filter_0(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_39]),c_0_38])]),c_0_40]) ).
cnf(c_0_138,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_110])]) ).
cnf(c_0_139,negated_conjecture,
v1_filter_2(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).
cnf(c_0_140,negated_conjecture,
( ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| ~ r2_hidden(k6_lattices(esk1_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_57]),c_0_134]),c_0_49]),c_0_50]),c_0_135])]),c_0_51]) ).
cnf(c_0_141,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),u1_struct_0(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_136,c_0_137]),c_0_127]),c_0_38]),c_0_39])]),c_0_40]) ).
cnf(c_0_142,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]) ).
cnf(c_0_143,negated_conjecture,
~ r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_122])]) ).
cnf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LAT322+4 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 10:49:44 EDT 2023
% 0.11/0.31 % CPUTime :
% 4.22/4.44 Running first-order model finding
% 4.22/4.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.bVQ6uFOq5c/E---3.1_18517.p
% 19.14/7.99 # Version: 3.1pre001
% 19.14/7.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 19.14/7.99 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 19.14/7.99 # Starting new_bool_3 with 897s (3) cores
% 19.14/7.99 # Starting new_bool_1 with 897s (3) cores
% 19.14/7.99 # Starting sh5l with 299s (1) cores
% 19.14/7.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 19.14/7.99 # new_bool_3 with pid 18595 completed with status 0
% 19.14/7.99 # Result found by new_bool_3
% 19.14/7.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 19.14/7.99 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 19.14/7.99 # Starting new_bool_3 with 897s (3) cores
% 19.14/7.99 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.14/7.99 # Search class: FGHSM-SMLM32-MFFFFFNN
% 19.14/7.99 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 19.14/7.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 19.14/7.99 # Starting new_bool_3 with 90s (1) cores
% 19.14/7.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 19.14/7.99 # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 18603 completed with status 0
% 19.14/7.99 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 19.14/7.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 19.14/7.99 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 19.14/7.99 # Starting new_bool_3 with 897s (3) cores
% 19.14/7.99 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.14/7.99 # Search class: FGHSM-SMLM32-MFFFFFNN
% 19.14/7.99 # Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 19.14/7.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 19.14/7.99 # Starting new_bool_3 with 90s (1) cores
% 19.14/7.99 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 19.14/7.99 # Preprocessing time : 0.046 s
% 19.14/7.99 # Presaturation interreduction done
% 19.14/7.99
% 19.14/7.99 # Proof found!
% 19.14/7.99 # SZS status Theorem
% 19.14/7.99 # SZS output start CNFRefutation
% See solution above
% 19.14/7.99 # Parsed axioms : 34727
% 19.14/7.99 # Removed by relevancy pruning/SinE : 34161
% 19.14/7.99 # Initial clauses : 1395
% 19.14/7.99 # Removed in clause preprocessing : 51
% 19.14/7.99 # Initial clauses in saturation : 1344
% 19.14/7.99 # Processed clauses : 6691
% 19.14/7.99 # ...of these trivial : 160
% 19.14/7.99 # ...subsumed : 1730
% 19.14/7.99 # ...remaining for further processing : 4801
% 19.14/7.99 # Other redundant clauses eliminated : 213
% 19.14/7.99 # Clauses deleted for lack of memory : 0
% 19.14/7.99 # Backward-subsumed : 17
% 19.14/7.99 # Backward-rewritten : 555
% 19.14/7.99 # Generated clauses : 24499
% 19.14/7.99 # ...of the previous two non-redundant : 23424
% 19.14/7.99 # ...aggressively subsumed : 0
% 19.14/7.99 # Contextual simplify-reflections : 78
% 19.14/7.99 # Paramodulations : 24284
% 19.14/7.99 # Factorizations : 2
% 19.14/7.99 # NegExts : 0
% 19.14/7.99 # Equation resolutions : 221
% 19.14/7.99 # Total rewrite steps : 12604
% 19.14/7.99 # Propositional unsat checks : 0
% 19.14/7.99 # Propositional check models : 0
% 19.14/7.99 # Propositional check unsatisfiable : 0
% 19.14/7.99 # Propositional clauses : 0
% 19.14/7.99 # Propositional clauses after purity: 0
% 19.14/7.99 # Propositional unsat core size : 0
% 19.14/7.99 # Propositional preprocessing time : 0.000
% 19.14/7.99 # Propositional encoding time : 0.000
% 19.14/7.99 # Propositional solver time : 0.000
% 19.14/7.99 # Success case prop preproc time : 0.000
% 19.14/7.99 # Success case prop encoding time : 0.000
% 19.14/7.99 # Success case prop solver time : 0.000
% 19.14/7.99 # Current number of processed clauses : 2898
% 19.14/7.99 # Positive orientable unit clauses : 694
% 19.14/7.99 # Positive unorientable unit clauses: 0
% 19.14/7.99 # Negative unit clauses : 549
% 19.14/7.99 # Non-unit-clauses : 1655
% 19.14/7.99 # Current number of unprocessed clauses: 19054
% 19.14/7.99 # ...number of literals in the above : 53577
% 19.14/7.99 # Current number of archived formulas : 0
% 19.14/7.99 # Current number of archived clauses : 1787
% 19.14/7.99 # Clause-clause subsumption calls (NU) : 851328
% 19.14/7.99 # Rec. Clause-clause subsumption calls : 206262
% 19.14/7.99 # Non-unit clause-clause subsumptions : 632
% 19.14/7.99 # Unit Clause-clause subsumption calls : 64660
% 19.14/7.99 # Rewrite failures with RHS unbound : 0
% 19.14/7.99 # BW rewrite match attempts : 432
% 19.14/7.99 # BW rewrite match successes : 72
% 19.14/7.99 # Condensation attempts : 0
% 19.14/7.99 # Condensation successes : 0
% 19.14/7.99 # Termbank termtop insertions : 1546110
% 19.14/7.99
% 19.14/7.99 # -------------------------------------------------
% 19.14/7.99 # User time : 1.680 s
% 19.14/7.99 # System time : 0.129 s
% 19.14/7.99 # Total time : 1.809 s
% 19.14/7.99 # Maximum resident set size: 68128 pages
% 19.14/7.99
% 19.14/7.99 # -------------------------------------------------
% 19.14/7.99 # User time : 6.098 s
% 19.14/7.99 # System time : 0.283 s
% 19.14/7.99 # Total time : 6.381 s
% 19.14/7.99 # Maximum resident set size: 53848 pages
% 19.14/7.99 % E---3.1 exiting
%------------------------------------------------------------------------------