TSTP Solution File: LAT309+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 18:08:30 EDT 2023
% Result : Theorem 0.65s 0.64s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 116 ( 26 unt; 0 def)
% Number of atoms : 563 ( 46 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 689 ( 242 ~; 256 |; 135 &)
% ( 5 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn; 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.hOZbS4kglF/E---3.1_456.p',d4_filter_2) ).
fof(t36_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( v14_lattices(X1)
& X2 != k6_lattices(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',t36_filter_2) ).
fof(t24_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1)
& X2 != k5_lattices(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',t24_filter_0) ).
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/tmp/tmp.hOZbS4kglF/E---3.1_456.p',dt_k5_filter_2) ).
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.hOZbS4kglF/E---3.1_456.p',t79_lattice2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',t64_lattice2) ).
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.hOZbS4kglF/E---3.1_456.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/tmp/tmp.hOZbS4kglF/E---3.1_456.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.hOZbS4kglF/E---3.1_456.p',fc1_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.hOZbS4kglF/E---3.1_456.p',dt_m1_filter_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',t3_subset) ).
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/tmp/tmp.hOZbS4kglF/E---3.1_456.p',d7_filter_2) ).
fof(dt_k8_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(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',dt_k8_filter_2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.hOZbS4kglF/E---3.1_456.p',redefinition_k14_filter_2) ).
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.hOZbS4kglF/E---3.1_456.p',d6_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.hOZbS4kglF/E---3.1_456.p',redefinition_k15_filter_2) ).
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.hOZbS4kglF/E---3.1_456.p',t33_filter_2) ).
fof(c_0_18,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_19,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( v14_lattices(X1)
& X2 != k6_lattices(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t36_filter_2])]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ~ ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1)
& X2 != k5_lattices(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r2_hidden(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t24_filter_0]) ).
fof(c_0_21,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_22,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_23,negated_conjecture,
! [X9] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& v14_lattices(esk1_0)
& esk2_0 != k6_lattices(esk1_0)
& ( ~ m2_filter_2(X9,esk1_0)
| ~ r2_hidden(esk2_0,X9)
| ~ r2_filter_2(esk1_0,X9) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_24,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_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
fof(c_0_26,plain,
! [X134,X135] :
( ( m1_filter_0(esk28_2(X134,X135),X134)
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) )
& ( r2_hidden(X135,esk28_2(X134,X135))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) )
& ( v1_filter_0(esk28_2(X134,X135),X134)
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ v13_lattices(X134)
| ~ l3_lattices(X134)
| X135 = k5_lattices(X134)
| ~ m1_subset_1(X135,u1_struct_0(X134))
| v3_struct_0(X134)
| ~ v10_lattices(X134)
| ~ l3_lattices(X134) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_27,plain,
! [X37,X38] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| ~ m1_subset_1(X38,u1_struct_0(X37))
| m1_subset_1(k5_filter_2(X37,X38),u1_struct_0(k1_lattice2(X37))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])]) ).
cnf(c_0_28,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_22]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X151] :
( v3_struct_0(X151)
| ~ v10_lattices(X151)
| ~ v14_lattices(X151)
| ~ l3_lattices(X151)
| k6_lattices(X151) = k5_lattices(k1_lattice2(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_34,plain,
! [X149] :
( ( ~ v14_lattices(X149)
| v13_lattices(k1_lattice2(X149))
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) )
& ( ~ v13_lattices(k1_lattice2(X149))
| v14_lattices(X149)
| v3_struct_0(X149)
| ~ v10_lattices(X149)
| ~ l3_lattices(X149) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_35,plain,
( m1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,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_27]) ).
cnf(c_0_37,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_28,c_0_29]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_38,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_33]) ).
cnf(c_0_39,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
( v13_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( X2 = k5_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(esk28_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_35]) ).
cnf(c_0_42,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_36,c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_37]) ).
cnf(c_0_43,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_38,c_0_39]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_44,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_40,c_0_39]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_45,negated_conjecture,
esk2_0 != k6_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_46,plain,
! [X36] :
( ( v3_lattices(k1_lattice2(X36))
| ~ l3_lattices(X36) )
& ( l3_lattices(k1_lattice2(X36))
| ~ l3_lattices(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_47,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_48,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_49,negated_conjecture,
( m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_41,c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_50,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_51,plain,
! [X97] :
( ( ~ v3_struct_0(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v3_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v4_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v5_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v6_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v7_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v8_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v9_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) )
& ( v10_lattices(k1_lattice2(X97))
| v3_struct_0(X97)
| ~ v10_lattices(X97)
| ~ l3_lattices(X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
fof(c_0_52,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_53,plain,
! [X83] :
( ( ~ v3_struct_0(k1_lattice2(X83))
| v3_struct_0(X83)
| ~ l3_lattices(X83) )
& ( v3_lattices(k1_lattice2(X83))
| v3_struct_0(X83)
| ~ l3_lattices(X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
cnf(c_0_54,negated_conjecture,
( m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_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_49,c_0_50]),c_0_30])]) ).
cnf(c_0_55,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,plain,
! [X48,X49] :
( ( ~ v1_xboole_0(X49)
| ~ m1_filter_0(X49,X48)
| v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48) )
& ( m1_subset_1(X49,k1_zfmisc_1(u1_struct_0(X48)))
| ~ m1_filter_0(X49,X48)
| v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_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_54,c_0_55]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_59,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_56]) ).
cnf(c_0_60,negated_conjecture,
m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_30])]),c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_62,plain,
! [X141,X142] :
( ( ~ m1_subset_1(X141,k1_zfmisc_1(X142))
| r1_tarski(X141,X142) )
& ( ~ r1_tarski(X141,X142)
| m1_subset_1(X141,k1_zfmisc_1(X142)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_63,negated_conjecture,
( m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_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_61,c_0_50]),c_0_30])]) ).
fof(c_0_64,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]) ).
cnf(c_0_65,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_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_63,c_0_55]),c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_67,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_68,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_69,negated_conjecture,
( r1_tarski(esk28_2(k1_lattice2(esk1_0),esk2_0),u1_struct_0(k1_lattice2(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_71,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
cnf(c_0_72,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_67]) ).
fof(c_0_73,plain,
! [X43,X44] :
( v3_struct_0(X43)
| ~ v10_lattices(X43)
| ~ l3_lattices(X43)
| ~ m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(k1_lattice2(X43))))
| m1_subset_1(k8_filter_2(X43,X44),k1_zfmisc_1(u1_struct_0(X43))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
cnf(c_0_74,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_75,negated_conjecture,
r1_tarski(esk28_2(k1_lattice2(esk1_0),esk2_0),u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_30])]),c_0_32]) ).
cnf(c_0_76,plain,
( v1_filter_0(esk28_2(X1,X2),X1)
| v3_struct_0(X1)
| X2 = k5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_77,plain,
! [X32,X33] :
( v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32)
| ~ m1_filter_0(X33,k1_lattice2(X32))
| m2_filter_2(k14_filter_2(X32,X33),X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).
fof(c_0_78,plain,
! [X122,X123] :
( v3_struct_0(X122)
| ~ v10_lattices(X122)
| ~ l3_lattices(X122)
| ~ m1_filter_0(X123,k1_lattice2(X122))
| k14_filter_2(X122,X123) = k8_filter_2(X122,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])]) ).
cnf(c_0_79,negated_conjecture,
( k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(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_72,c_0_66]),c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_80,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]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ 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_73]) ).
cnf(c_0_82,negated_conjecture,
m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( X2 = k5_lattices(X1)
| v3_struct_0(X1)
| v1_filter_0(esk28_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_76]) ).
fof(c_0_84,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]) ).
cnf(c_0_85,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_86,plain,
( v3_struct_0(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_87,negated_conjecture,
k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_79]),c_0_30])]),c_0_32]) ).
fof(c_0_88,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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])]) ).
cnf(c_0_89,negated_conjecture,
m1_subset_1(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),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(spm,[status(thm)],[c_0_81,c_0_82]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_90,negated_conjecture,
( v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_83,c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_91,plain,
( r2_hidden(X1,esk28_2(X2,X1))
| v3_struct_0(X2)
| X1 = k5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_92,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_93,plain,
! [X124,X125] :
( v3_struct_0(X124)
| ~ v10_lattices(X124)
| ~ l3_lattices(X124)
| ~ m2_filter_2(X125,X124)
| k15_filter_2(X124,X125) = k7_filter_2(X124,X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])]) ).
cnf(c_0_94,negated_conjecture,
m2_filter_2(k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_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_85,c_0_60]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_95,negated_conjecture,
k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_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_86,c_0_60]),c_0_30]),c_0_31])]),c_0_32]),c_0_87]) ).
cnf(c_0_96,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_88]) ).
cnf(c_0_97,negated_conjecture,
m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_89,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_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_90,c_0_50]),c_0_30])]) ).
cnf(c_0_99,plain,
( X1 = k5_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(X1,esk28_2(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v13_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(cn,[status(thm)],[c_0_91]) ).
fof(c_0_100,plain,
! [X139,X140] :
( ( ~ r2_filter_2(X139,X140)
| v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139))
| ~ m2_filter_2(X140,X139)
| v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ l3_lattices(X139) )
& ( ~ v1_filter_0(k15_filter_2(X139,X140),k1_lattice2(X139))
| r2_filter_2(X139,X140)
| ~ m2_filter_2(X140,X139)
| v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ l3_lattices(X139) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
cnf(c_0_101,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_93]) ).
cnf(c_0_102,negated_conjecture,
m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
k7_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(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_96,c_0_97]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_104,negated_conjecture,
( v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_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_98,c_0_55]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_105,negated_conjecture,
( r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_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_99,c_0_42]),c_0_43]),c_0_44])]),c_0_45]) ).
cnf(c_0_106,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_100]) ).
cnf(c_0_107,negated_conjecture,
k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(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_101,c_0_102]),c_0_103]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_108,negated_conjecture,
v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_104]),c_0_30])]),c_0_32]) ).
cnf(c_0_109,negated_conjecture,
( r2_hidden(esk2_0,esk28_2(k1_lattice2(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_105,c_0_50]),c_0_30])]) ).
cnf(c_0_110,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_111,negated_conjecture,
r2_filter_2(esk1_0,esk28_2(k1_lattice2(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_106,c_0_107]),c_0_108]),c_0_102]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_112,negated_conjecture,
( r2_hidden(esk2_0,esk28_2(k1_lattice2(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_109,c_0_55]),c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_113,negated_conjecture,
~ r2_hidden(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_102])]) ).
cnf(c_0_114,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_114]),c_0_30])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.16 % Command : run_E %s %d THM
% 0.14/0.38 % Computer : n017.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 2400
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Oct 2 10:01:11 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.21/0.52 Running first-order theorem proving
% 0.21/0.52 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/tmp/tmp.hOZbS4kglF/E---3.1_456.p
% 0.65/0.64 # Version: 3.1pre001
% 0.65/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.64 # Starting new_bool_3 with 300s (1) cores
% 0.65/0.64 # Starting new_bool_1 with 300s (1) cores
% 0.65/0.64 # Starting sh5l with 300s (1) cores
% 0.65/0.64 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 550 completed with status 0
% 0.65/0.64 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.65/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.64 # No SInE strategy applied
% 0.65/0.64 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.65/0.64 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.65/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.65/0.64 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.65/0.64 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.65/0.64 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.65/0.64 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 563 completed with status 0
% 0.65/0.64 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.65/0.64 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.65/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.65/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.65/0.64 # No SInE strategy applied
% 0.65/0.64 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.65/0.64 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.65/0.64 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.65/0.64 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.65/0.64 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.65/0.64 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.65/0.64 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.65/0.64 # Preprocessing time : 0.002 s
% 0.65/0.64
% 0.65/0.64 # Proof found!
% 0.65/0.64 # SZS status Theorem
% 0.65/0.64 # SZS output start CNFRefutation
% See solution above
% 0.65/0.64 # Parsed axioms : 96
% 0.65/0.64 # Removed by relevancy pruning/SinE : 0
% 0.65/0.64 # Initial clauses : 193
% 0.65/0.64 # Removed in clause preprocessing : 13
% 0.65/0.64 # Initial clauses in saturation : 180
% 0.65/0.64 # Processed clauses : 1312
% 0.65/0.64 # ...of these trivial : 43
% 0.65/0.64 # ...subsumed : 133
% 0.65/0.64 # ...remaining for further processing : 1136
% 0.65/0.64 # Other redundant clauses eliminated : 0
% 0.65/0.64 # Clauses deleted for lack of memory : 0
% 0.65/0.64 # Backward-subsumed : 80
% 0.65/0.64 # Backward-rewritten : 127
% 0.65/0.64 # Generated clauses : 2110
% 0.65/0.64 # ...of the previous two non-redundant : 1878
% 0.65/0.64 # ...aggressively subsumed : 0
% 0.65/0.64 # Contextual simplify-reflections : 34
% 0.65/0.64 # Paramodulations : 2103
% 0.65/0.64 # Factorizations : 0
% 0.65/0.64 # NegExts : 0
% 0.65/0.64 # Equation resolutions : 0
% 0.65/0.64 # Total rewrite steps : 2038
% 0.65/0.64 # Propositional unsat checks : 0
% 0.65/0.64 # Propositional check models : 0
% 0.65/0.64 # Propositional check unsatisfiable : 0
% 0.65/0.64 # Propositional clauses : 0
% 0.65/0.64 # Propositional clauses after purity: 0
% 0.65/0.64 # Propositional unsat core size : 0
% 0.65/0.64 # Propositional preprocessing time : 0.000
% 0.65/0.64 # Propositional encoding time : 0.000
% 0.65/0.64 # Propositional solver time : 0.000
% 0.65/0.64 # Success case prop preproc time : 0.000
% 0.65/0.64 # Success case prop encoding time : 0.000
% 0.65/0.64 # Success case prop solver time : 0.000
% 0.65/0.64 # Current number of processed clauses : 924
% 0.65/0.64 # Positive orientable unit clauses : 523
% 0.65/0.64 # Positive unorientable unit clauses: 0
% 0.65/0.64 # Negative unit clauses : 58
% 0.65/0.64 # Non-unit-clauses : 343
% 0.65/0.64 # Current number of unprocessed clauses: 649
% 0.65/0.64 # ...number of literals in the above : 2334
% 0.65/0.64 # Current number of archived formulas : 0
% 0.65/0.64 # Current number of archived clauses : 211
% 0.65/0.64 # Clause-clause subsumption calls (NU) : 27620
% 0.65/0.64 # Rec. Clause-clause subsumption calls : 13095
% 0.65/0.64 # Non-unit clause-clause subsumptions : 166
% 0.65/0.64 # Unit Clause-clause subsumption calls : 12765
% 0.65/0.64 # Rewrite failures with RHS unbound : 0
% 0.65/0.64 # BW rewrite match attempts : 633
% 0.65/0.64 # BW rewrite match successes : 57
% 0.65/0.64 # Condensation attempts : 0
% 0.65/0.64 # Condensation successes : 0
% 0.65/0.64 # Termbank termtop insertions : 47958
% 0.65/0.64
% 0.65/0.64 # -------------------------------------------------
% 0.65/0.64 # User time : 0.089 s
% 0.65/0.64 # System time : 0.008 s
% 0.65/0.64 # Total time : 0.097 s
% 0.65/0.64 # Maximum resident set size: 2340 pages
% 0.65/0.64
% 0.65/0.64 # -------------------------------------------------
% 0.65/0.64 # User time : 0.384 s
% 0.65/0.64 # System time : 0.024 s
% 0.65/0.64 # Total time : 0.408 s
% 0.65/0.64 # Maximum resident set size: 1776 pages
% 0.65/0.64 % E---3.1 exiting
% 0.65/0.64 % E---3.1 exiting
%------------------------------------------------------------------------------