TSTP Solution File: LAT324+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : LAT324+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 18:10:41 EDT 2023
% Result : Theorem 89.73s 12.04s
% Output : CNFRefutation 89.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 119 ( 15 unt; 0 def)
% Number of atoms : 726 ( 51 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 924 ( 317 ~; 358 |; 187 &)
% ( 3 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn; 101 !; 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.YulakUdUMU/E---3.1_2158.p',d4_filter_2) ).
fof(t60_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',t60_filter_2) ).
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.YulakUdUMU/E---3.1_2158.p',dt_k5_filter_2) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',fc4_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.YulakUdUMU/E---3.1_2158.p',fc6_lattice2) ).
fof(t60_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',t60_filter_0) ).
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.YulakUdUMU/E---3.1_2158.p',dt_k1_lattice2) ).
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.YulakUdUMU/E---3.1_2158.p',dt_k14_filter_2) ).
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.YulakUdUMU/E---3.1_2158.p',dt_m1_filter_0) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',dt_m2_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',dt_m2_lattice4) ).
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.YulakUdUMU/E---3.1_2158.p',redefinition_k14_filter_2) ).
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.YulakUdUMU/E---3.1_2158.p',d7_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.YulakUdUMU/E---3.1_2158.p',d6_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.YulakUdUMU/E---3.1_2158.p',t3_subset) ).
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.YulakUdUMU/E---3.1_2158.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.YulakUdUMU/E---3.1_2158.p',t33_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/tmp/tmp.YulakUdUMU/E---3.1_2158.p',fc1_lattice2) ).
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)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t60_filter_2])]) ).
fof(c_0_20,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_21,plain,
! [X27,X28] :
( v3_struct_0(X27)
| ~ v10_lattices(X27)
| ~ l3_lattices(X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| k5_filter_2(X27,X28) = X28 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_22,negated_conjecture,
! [X10] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& esk2_0 != esk3_0
& ( ~ r2_hidden(esk2_0,X10)
| r2_hidden(esk3_0,X10)
| ~ r2_filter_2(esk1_0,X10)
| ~ m2_filter_2(X10,esk1_0) )
& ( r2_hidden(esk2_0,X10)
| ~ r2_hidden(esk3_0,X10)
| ~ r2_filter_2(esk1_0,X10)
| ~ m2_filter_2(X10,esk1_0) ) ),
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_19])])])])]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
fof(c_0_24,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_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_filter_0]) ).
fof(c_0_26,plain,
! [X41,X42] :
( v3_struct_0(X41)
| ~ v10_lattices(X41)
| ~ l3_lattices(X41)
| ~ m1_subset_1(X42,u1_struct_0(X41))
| m1_subset_1(k5_filter_2(X41,X42),u1_struct_0(k1_lattice2(X41))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_27,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_21]) ).
cnf(c_0_28,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_32,plain,
! [X95] :
( ( ~ v3_struct_0(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v3_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v4_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v5_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v6_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v7_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v8_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v9_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v10_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v11_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v12_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v13_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v14_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v15_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v16_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v17_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_33,plain,
! [X100] :
( ( ~ v3_struct_0(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v3_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v4_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v5_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v6_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v7_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v8_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v9_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v10_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_34,plain,
! [X152,X153,X154] :
( ( m1_filter_0(esk32_3(X152,X153,X154),X152)
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( v1_filter_0(esk32_3(X152,X153,X154),X152)
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( ~ r2_hidden(X153,esk32_3(X152,X153,X154))
| r2_hidden(X153,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( r2_hidden(X154,esk32_3(X152,X153,X154))
| r2_hidden(X153,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( ~ r2_hidden(X153,esk32_3(X152,X153,X154))
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( r2_hidden(X154,esk32_3(X152,X153,X154))
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) ) ),
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_25])])])])]) ).
cnf(c_0_35,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_26]) ).
cnf(c_0_36,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_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_37,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( m1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,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_35,c_0_28]),c_0_29]),c_0_30])]),c_0_31]),c_0_36]) ).
cnf(c_0_42,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_37,c_0_29]),c_0_38]),c_0_30])]),c_0_31]) ).
cnf(c_0_43,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_39,c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_44,plain,
! [X40] :
( ( v3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) )
& ( l3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_45,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_46,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]) ).
cnf(c_0_47,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_48,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
k5_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_27,c_0_45]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_50,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_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_52,plain,
! [X36,X37] :
( v3_struct_0(X36)
| ~ v10_lattices(X36)
| ~ l3_lattices(X36)
| ~ m1_filter_0(X37,k1_lattice2(X36))
| m2_filter_2(k14_filter_2(X36,X37),X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
cnf(c_0_53,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_29])]) ).
cnf(c_0_54,negated_conjecture,
m1_subset_1(esk3_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_35,c_0_45]),c_0_29]),c_0_30])]),c_0_31]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_56,plain,
! [X50,X51] :
( ( ~ v1_xboole_0(X51)
| ~ m1_filter_0(X51,X50)
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| ~ m1_filter_0(X51,X50)
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_58,plain,
! [X54,X55] :
( ( ~ v1_xboole_0(X55)
| ~ m2_filter_2(X55,X54)
| v3_struct_0(X54)
| ~ v10_lattices(X54)
| ~ l3_lattices(X54) )
& ( m2_lattice4(X55,X54)
| ~ m2_filter_2(X55,X54)
| v3_struct_0(X54)
| ~ v10_lattices(X54)
| ~ l3_lattices(X54) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).
cnf(c_0_59,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_52]) ).
cnf(c_0_60,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
fof(c_0_61,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]) ).
fof(c_0_62,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_63,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]) ).
fof(c_0_64,plain,
! [X56,X57] :
( v3_struct_0(X56)
| ~ v10_lattices(X56)
| ~ l3_lattices(X56)
| ~ m2_lattice4(X57,X56)
| m1_subset_1(X57,k1_zfmisc_1(u1_struct_0(X56))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
cnf(c_0_65,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
( m2_filter_2(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),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_59,c_0_60]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_67,plain,
! [X128,X129] :
( v3_struct_0(X128)
| ~ v10_lattices(X128)
| ~ l3_lattices(X128)
| ~ m1_filter_0(X129,k1_lattice2(X128))
| k14_filter_2(X128,X129) = k8_filter_2(X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).
fof(c_0_68,plain,
! [X31,X32] :
( v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31)
| ~ m1_subset_1(X32,k1_zfmisc_1(u1_struct_0(k1_lattice2(X31))))
| k8_filter_2(X31,X32) = X32 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
cnf(c_0_69,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_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)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_60]),c_0_43])]) ).
fof(c_0_70,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_71,plain,
! [X144,X145] :
( ( ~ m1_subset_1(X144,k1_zfmisc_1(X145))
| r1_tarski(X144,X145) )
& ( ~ r1_tarski(X144,X145)
| m1_subset_1(X144,k1_zfmisc_1(X145)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_72,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( m2_lattice4(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),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_65,c_0_66]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_74,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_67]) ).
cnf(c_0_75,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_68]) ).
cnf(c_0_76,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_48]),c_0_29])]) ).
fof(c_0_77,plain,
! [X29,X30] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| ~ m1_subset_1(X30,k1_zfmisc_1(u1_struct_0(X29)))
| k7_filter_2(X29,X30) = X30 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])]) ).
cnf(c_0_78,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( m1_subset_1(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),k1_zfmisc_1(u1_struct_0(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_72,c_0_73]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_80,negated_conjecture,
( k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_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_74,c_0_60]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_81,negated_conjecture,
( k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_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_75,c_0_76]),c_0_29]),c_0_30])]),c_0_31]) ).
fof(c_0_82,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_83,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_77]) ).
cnf(c_0_84,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( r1_tarski(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
fof(c_0_87,plain,
! [X130,X131] :
( v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130)
| ~ m2_filter_2(X131,X130)
| k15_filter_2(X130,X131) = k7_filter_2(X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])]) ).
cnf(c_0_88,plain,
( v1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_89,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]) ).
cnf(c_0_90,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ r1_tarski(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( r1_tarski(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,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_87]) ).
cnf(c_0_93,negated_conjecture,
( m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_41]),c_0_42]),c_0_43])]) ).
fof(c_0_95,plain,
! [X142,X143] :
( ( ~ r2_filter_2(X142,X143)
| v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142))
| ~ m2_filter_2(X143,X142)
| v3_struct_0(X142)
| ~ v10_lattices(X142)
| ~ l3_lattices(X142) )
& ( ~ v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142))
| r2_filter_2(X142,X143)
| ~ m2_filter_2(X143,X142)
| v3_struct_0(X142)
| ~ v10_lattices(X142)
| ~ l3_lattices(X142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
cnf(c_0_96,negated_conjecture,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_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_90,c_0_91]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_97,negated_conjecture,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_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_92,c_0_93]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_98,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_48]),c_0_29])]) ).
cnf(c_0_99,plain,
( r2_hidden(X1,esk32_3(X2,X3,X1))
| r2_hidden(X3,esk32_3(X2,X3,X1))
| X3 = X1
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_100,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_95]) ).
cnf(c_0_101,negated_conjecture,
( k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_54]),c_0_55]) ).
cnf(c_0_103,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_54]),c_0_42]),c_0_43])]) ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_105,negated_conjecture,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_101]),c_0_29]),c_0_30])]),c_0_31]),c_0_93]),c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( r2_hidden(esk2_0,X1)
| ~ r2_hidden(esk3_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_107,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_48]),c_0_29])]) ).
cnf(c_0_108,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_93]) ).
fof(c_0_109,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_110,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_105]),c_0_93]) ).
cnf(c_0_111,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_41]),c_0_55]),c_0_108]) ).
fof(c_0_112,plain,
! [X85] :
( ( ~ v3_struct_0(k1_lattice2(X85))
| v3_struct_0(X85)
| ~ l3_lattices(X85) )
& ( v3_lattices(k1_lattice2(X85))
| v3_struct_0(X85)
| ~ l3_lattices(X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])]) ).
cnf(c_0_113,plain,
( X1 = X3
| v3_struct_0(X2)
| ~ r2_hidden(X1,esk32_3(X2,X1,X3))
| ~ r2_hidden(X3,esk32_3(X2,X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_114,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[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_113,c_0_114]),c_0_41]),c_0_54]),c_0_42]),c_0_43])]),c_0_55]),c_0_111]) ).
cnf(c_0_117,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_29])]),c_0_31]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_48]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT324+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 10:16:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.48 Running first-order model finding
% 0.18/0.48 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.YulakUdUMU/E---3.1_2158.p
% 89.73/12.04 # Version: 3.1pre001
% 89.73/12.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 89.73/12.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.73/12.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 89.73/12.04 # Starting new_bool_3 with 300s (1) cores
% 89.73/12.04 # Starting new_bool_1 with 300s (1) cores
% 89.73/12.04 # Starting sh5l with 300s (1) cores
% 89.73/12.04 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2244 completed with status 0
% 89.73/12.04 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 89.73/12.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 89.73/12.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.73/12.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 89.73/12.04 # No SInE strategy applied
% 89.73/12.04 # Search class: FGHSM-FSLM31-MFFFFFNN
% 89.73/12.04 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 89.73/12.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 89.73/12.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 89.73/12.04 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 89.73/12.04 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 89.73/12.04 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 89.73/12.04 # U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 2254 completed with status 0
% 89.73/12.04 # Result found by U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 89.73/12.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 89.73/12.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 89.73/12.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 89.73/12.04 # No SInE strategy applied
% 89.73/12.04 # Search class: FGHSM-FSLM31-MFFFFFNN
% 89.73/12.04 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 89.73/12.04 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 89.73/12.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 89.73/12.04 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 89.73/12.04 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 89.73/12.04 # Preprocessing time : 0.003 s
% 89.73/12.04 # Presaturation interreduction done
% 89.73/12.04
% 89.73/12.04 # Proof found!
% 89.73/12.04 # SZS status Theorem
% 89.73/12.04 # SZS output start CNFRefutation
% See solution above
% 89.73/12.04 # Parsed axioms : 99
% 89.73/12.04 # Removed by relevancy pruning/SinE : 0
% 89.73/12.04 # Initial clauses : 270
% 89.73/12.04 # Removed in clause preprocessing : 19
% 89.73/12.04 # Initial clauses in saturation : 251
% 89.73/12.04 # Processed clauses : 61896
% 89.73/12.04 # ...of these trivial : 290
% 89.73/12.04 # ...subsumed : 39585
% 89.73/12.04 # ...remaining for further processing : 22021
% 89.73/12.04 # Other redundant clauses eliminated : 0
% 89.73/12.04 # Clauses deleted for lack of memory : 0
% 89.73/12.04 # Backward-subsumed : 1076
% 89.73/12.04 # Backward-rewritten : 312
% 89.73/12.04 # Generated clauses : 187961
% 89.73/12.04 # ...of the previous two non-redundant : 172481
% 89.73/12.04 # ...aggressively subsumed : 0
% 89.73/12.04 # Contextual simplify-reflections : 410
% 89.73/12.04 # Paramodulations : 187957
% 89.73/12.04 # Factorizations : 0
% 89.73/12.04 # NegExts : 0
% 89.73/12.04 # Equation resolutions : 0
% 89.73/12.04 # Total rewrite steps : 99396
% 89.73/12.04 # Propositional unsat checks : 4
% 89.73/12.04 # Propositional check models : 3
% 89.73/12.04 # Propositional check unsatisfiable : 0
% 89.73/12.04 # Propositional clauses : 0
% 89.73/12.04 # Propositional clauses after purity: 0
% 89.73/12.04 # Propositional unsat core size : 0
% 89.73/12.04 # Propositional preprocessing time : 0.000
% 89.73/12.04 # Propositional encoding time : 0.180
% 89.73/12.04 # Propositional solver time : 0.082
% 89.73/12.04 # Success case prop preproc time : 0.000
% 89.73/12.04 # Success case prop encoding time : 0.000
% 89.73/12.04 # Success case prop solver time : 0.000
% 89.73/12.04 # Current number of processed clauses : 20405
% 89.73/12.04 # Positive orientable unit clauses : 2150
% 89.73/12.04 # Positive unorientable unit clauses: 0
% 89.73/12.04 # Negative unit clauses : 787
% 89.73/12.04 # Non-unit-clauses : 17468
% 89.73/12.04 # Current number of unprocessed clauses: 109348
% 89.73/12.04 # ...number of literals in the above : 421922
% 89.73/12.04 # Current number of archived formulas : 0
% 89.73/12.04 # Current number of archived clauses : 1616
% 89.73/12.04 # Clause-clause subsumption calls (NU) : 14452762
% 89.73/12.04 # Rec. Clause-clause subsumption calls : 9983753
% 89.73/12.04 # Non-unit clause-clause subsumptions : 32424
% 89.73/12.04 # Unit Clause-clause subsumption calls : 107506
% 89.73/12.04 # Rewrite failures with RHS unbound : 0
% 89.73/12.04 # BW rewrite match attempts : 62095
% 89.73/12.04 # BW rewrite match successes : 144
% 89.73/12.04 # Condensation attempts : 0
% 89.73/12.04 # Condensation successes : 0
% 89.73/12.04 # Termbank termtop insertions : 5314960
% 89.73/12.04
% 89.73/12.04 # -------------------------------------------------
% 89.73/12.04 # User time : 11.176 s
% 89.73/12.04 # System time : 0.155 s
% 89.73/12.04 # Total time : 11.331 s
% 89.73/12.04 # Maximum resident set size: 2460 pages
% 89.73/12.04
% 89.73/12.04 # -------------------------------------------------
% 89.73/12.04 # User time : 54.384 s
% 89.73/12.04 # System time : 0.996 s
% 89.73/12.04 # Total time : 55.380 s
% 89.73/12.04 # Maximum resident set size: 1780 pages
% 89.73/12.04 % E---3.1 exiting
%------------------------------------------------------------------------------