%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT340+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:47:25 EDT 2022
% Result : Theorem 0.20s 1.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 116 ( 12 unt; 0 def)
% Number of atoms : 706 ( 52 equ)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 933 ( 343 ~; 428 |; 121 &)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-3 aty)
% Number of variables : 190 ( 3 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k1_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k1_conlat_2) ).
fof(d1_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k1_conlat_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_conlat_2) ).
fof(d16_lattice3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( r3_lattice3(X1,X2,X3)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r2_hidden(X4,X3)
=> r1_lattices(X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d16_lattice3) ).
fof(t34_lattice3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v4_lattice3(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( X2 = k16_lattice3(X1,X3)
<=> ( r3_lattice3(X1,X2,X3)
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r3_lattice3(X1,X4,X3)
=> r3_lattices(X1,X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t34_lattice3) ).
fof(t47_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
=> ( r3_lattices(k11_conlat_1(X1),X2,X3)
<=> r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t47_conlat_1) ).
fof(d24_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
=> k12_conlat_1(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d24_conlat_1) ).
fof(dt_k6_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( v6_conlat_1(k6_conlat_1(X1),X1)
& ~ v7_conlat_1(k6_conlat_1(X1),X1)
& v9_conlat_1(k6_conlat_1(X1),X1)
& v11_conlat_1(k6_conlat_1(X1),X1)
& l3_conlat_1(k6_conlat_1(X1),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k6_conlat_1) ).
fof(redefinition_r3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_r3_lattices) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',cc1_lattices) ).
fof(t34_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( r2_conlat_1(X1,X2,k5_conlat_1(X1))
& r2_conlat_1(X1,k6_conlat_1(X1),X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t34_conlat_1) ).
fof(dt_k12_conlat_1,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) )
=> ( v6_conlat_1(k12_conlat_1(X1,X2),X1)
& ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
& v9_conlat_1(k12_conlat_1(X1,X2),X1)
& l3_conlat_1(k12_conlat_1(X1,X2),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k12_conlat_1) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& l3_lattices(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k11_conlat_1) ).
fof(fc1_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_struct_0(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v4_lattice3(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_conlat_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t2_subset) ).
fof(t6_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1)))) = k5_conlat_1(X1)
& k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1)))) = k6_conlat_1(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t6_conlat_2) ).
fof(d2_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k2_conlat_2(X1,X2) = k16_lattice3(k11_conlat_1(X1),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d2_conlat_2) ).
fof(dt_k2_subset_1,axiom,
! [X1] : m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_k2_subset_1) ).
fof(d4_subset_1,axiom,
! [X1] : k2_subset_1(X1) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_subset_1) ).
fof(t51_lattice3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v4_lattice3(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1)
& k6_lattices(X1) = k15_lattice3(X1,u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t51_lattice3) ).
fof(d3_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
=> k3_conlat_2(X1,X2) = k15_lattice3(k11_conlat_1(X1),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d3_conlat_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_l3_lattices) ).
fof(t1_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( k5_lattices(k11_conlat_1(X1)) = k6_conlat_1(X1)
& k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t1_conlat_2) ).
fof(c_0_24,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ v6_conlat_1(X4,X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| m1_subset_1(k1_conlat_2(X3,X4),u1_struct_0(k11_conlat_1(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_conlat_2])])]) ).
fof(c_0_25,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ v6_conlat_1(X4,X3)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| k1_conlat_2(X3,X4) = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_conlat_2])])])])])]) ).
fof(c_0_26,plain,
! [X5,X6,X7,X8,X7] :
( ( ~ r3_lattice3(X5,X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ r2_hidden(X8,X7)
| r1_lattices(X5,X6,X8)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk2_3(X5,X6,X7),u1_struct_0(X5))
| r3_lattice3(X5,X6,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk2_3(X5,X6,X7),X7)
| r3_lattice3(X5,X6,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l3_lattices(X5) )
& ( ~ r1_lattices(X5,X6,esk2_3(X5,X6,X7))
| r3_lattice3(X5,X6,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d16_lattice3])])])])])])])]) ).
fof(c_0_27,plain,
! [X5,X6,X7,X8,X7] :
( ( r3_lattice3(X5,X6,X7)
| X6 != k16_lattice3(X5,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v4_lattice3(X5)
| ~ l3_lattices(X5) )
& ( ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ r3_lattice3(X5,X8,X7)
| r3_lattices(X5,X8,X6)
| X6 != k16_lattice3(X5,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v4_lattice3(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk36_3(X5,X6,X7),u1_struct_0(X5))
| ~ r3_lattice3(X5,X6,X7)
| X6 = k16_lattice3(X5,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v4_lattice3(X5)
| ~ l3_lattices(X5) )
& ( r3_lattice3(X5,esk36_3(X5,X6,X7),X7)
| ~ r3_lattice3(X5,X6,X7)
| X6 = k16_lattice3(X5,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v4_lattice3(X5)
| ~ l3_lattices(X5) )
& ( ~ r3_lattices(X5,esk36_3(X5,X6,X7),X6)
| ~ r3_lattice3(X5,X6,X7)
| X6 = k16_lattice3(X5,X7)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ v4_lattice3(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t34_lattice3])])])])])])])]) ).
fof(c_0_28,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(k11_conlat_1(X4),X5,X6)
| r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6))
| ~ m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4)))
| ~ m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4)))
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) )
& ( ~ r2_conlat_1(X4,k12_conlat_1(X4,X5),k12_conlat_1(X4,X6))
| r3_lattices(k11_conlat_1(X4),X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(k11_conlat_1(X4)))
| ~ m1_subset_1(X5,u1_struct_0(k11_conlat_1(X4)))
| v3_conlat_1(X4)
| ~ l2_conlat_1(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t47_conlat_1])])])])])])]) ).
fof(c_0_29,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3)))
| k12_conlat_1(X3,X4) = X4 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d24_conlat_1])])])])])]) ).
cnf(c_0_30,plain,
( m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( k1_conlat_2(X1,X2) = X2
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X2] :
( ( v6_conlat_1(k6_conlat_1(X2),X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( ~ v7_conlat_1(k6_conlat_1(X2),X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v9_conlat_1(k6_conlat_1(X2),X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v11_conlat_1(k6_conlat_1(X2),X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l3_conlat_1(k6_conlat_1(X2),X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_conlat_1])])])]) ).
fof(c_0_33,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r3_lattices])])])]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| X2 = k16_lattice3(X1,X3)
| r3_lattice3(X1,esk36_3(X1,X2,X3),X3)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| X2 = k16_lattice3(X1,X3)
| m1_subset_1(esk36_3(X1,X2,X3),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_37,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc1_lattices])])])]) ).
cnf(c_0_38,plain,
( v3_conlat_1(X1)
| r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( k12_conlat_1(X1,X2) = X2
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ( r2_conlat_1(X3,X4,k5_conlat_1(X3))
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) )
& ( r2_conlat_1(X3,k6_conlat_1(X3),X4)
| v7_conlat_1(X4,X3)
| ~ v9_conlat_1(X4,X3)
| ~ l3_conlat_1(X4,X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t34_conlat_1])])])])])])]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ( v6_conlat_1(k12_conlat_1(X3,X4),X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))) )
& ( ~ v7_conlat_1(k12_conlat_1(X3,X4),X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))) )
& ( v9_conlat_1(k12_conlat_1(X3,X4),X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))) )
& ( l3_conlat_1(k12_conlat_1(X3,X4),X3)
| v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(k11_conlat_1(X3))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k12_conlat_1])])])]) ).
cnf(c_0_42,plain,
( v7_conlat_1(X1,X2)
| m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
| v3_conlat_1(X2)
| ~ v9_conlat_1(X1,X2)
| ~ v6_conlat_1(X1,X2)
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
( v3_conlat_1(X1)
| v9_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k6_conlat_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_47,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_48,plain,
( X1 = k16_lattice3(X2,X3)
| r1_lattices(X2,esk36_3(X2,X1,X3),X4)
| v3_struct_0(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,esk2_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_53,plain,
( v3_struct_0(X2)
| r1_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r3_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| m1_subset_1(esk2_3(X1,X2,X3),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_55,plain,
( r3_lattices(k11_conlat_1(X1),X2,X3)
| v3_conlat_1(X1)
| ~ r2_conlat_1(X1,X2,k12_conlat_1(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_56,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| r2_conlat_1(X1,k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_57,plain,
( v3_conlat_1(X2)
| l3_conlat_1(k12_conlat_1(X2,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_58,plain,
( v3_conlat_1(X2)
| v9_conlat_1(k12_conlat_1(X2,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ l2_conlat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_59,plain,
( m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_60,plain,
( v3_conlat_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ l2_conlat_1(X2)
| ~ v7_conlat_1(k12_conlat_1(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_61,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( l3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k11_conlat_1])])])]) ).
fof(c_0_62,plain,
! [X2] :
( ( ~ v3_struct_0(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v3_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v5_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v6_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v7_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v8_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v9_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v10_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v13_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v14_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v15_lattices(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( v4_lattice3(k11_conlat_1(X2))
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_conlat_2])])])]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| X2 = k16_lattice3(X1,X3)
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r3_lattice3(X1,X2,X3)
| ~ r3_lattices(X1,esk36_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_64,plain,
( X1 = k16_lattice3(X2,X3)
| r3_lattices(X2,esk36_3(X2,X1,X3),X4)
| v3_struct_0(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ r2_hidden(X4,X3)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_36]) ).
cnf(c_0_65,plain,
( r3_lattice3(X1,X2,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,esk2_3(X1,X2,X3))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_66,plain,
( r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]) ).
cnf(c_0_67,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ r2_hidden(X1,X3)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,plain,
( r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_54]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_59]),c_0_71]) ).
cnf(c_0_74,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_75,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_76,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_77,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( k3_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1)))) = k5_conlat_1(X1)
& k2_conlat_2(X1,k2_subset_1(u1_struct_0(k11_conlat_1(X1)))) = k6_conlat_1(X1) ) ),
inference(assume_negation,[status(cth)],[t6_conlat_2]) ).
fof(c_0_78,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3))))
| k2_conlat_2(X3,X4) = k16_lattice3(k11_conlat_1(X3),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_conlat_2])])])])])]) ).
cnf(c_0_79,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k6_conlat_1(X1)
| v3_conlat_1(X1)
| ~ r2_hidden(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_67]),c_0_74]),c_0_59]),c_0_75]),c_0_71]) ).
cnf(c_0_80,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_81,plain,
! [X2] : m1_subset_1(k2_subset_1(X2),k1_zfmisc_1(X2)),
inference(variable_rename,[status(thm)],[dt_k2_subset_1]) ).
fof(c_0_82,plain,
! [X2] : k2_subset_1(X2) = X2,
inference(variable_rename,[status(thm)],[d4_subset_1]) ).
fof(c_0_83,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& ( k3_conlat_2(esk1_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk1_0)))) != k5_conlat_1(esk1_0)
| k2_conlat_2(esk1_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk1_0)))) != k6_conlat_1(esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_77])])])]) ).
cnf(c_0_84,plain,
( k2_conlat_2(X1,X2) = k16_lattice3(k11_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k6_conlat_1(X1)
| v1_xboole_0(X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
m1_subset_1(k2_subset_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
k2_subset_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( k2_conlat_2(esk1_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk1_0)))) != k6_conlat_1(esk1_0)
| k3_conlat_2(esk1_0,k2_subset_1(u1_struct_0(k11_conlat_1(esk1_0)))) != k5_conlat_1(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,plain,
( k2_conlat_2(X1,X2) = k6_conlat_1(X1)
| v1_xboole_0(X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ m1_subset_1(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) )
& ( k6_lattices(X2) = k15_lattice3(X2,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t51_lattice3])])])]) ).
fof(c_0_92,plain,
! [X3,X4] :
( v3_conlat_1(X3)
| ~ l2_conlat_1(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X3))))
| k3_conlat_2(X3,X4) = k15_lattice3(k11_conlat_1(X3),X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d3_conlat_2])])])])])]) ).
fof(c_0_93,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_94,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_95,negated_conjecture,
( k3_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0)
| k2_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_87]),c_0_87]) ).
cnf(c_0_96,plain,
( k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))) = k6_conlat_1(X1)
| v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_59]),c_0_90])]) ).
cnf(c_0_97,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_98,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| k6_lattices(X1) = k15_lattice3(X1,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v4_lattice3(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
( k3_conlat_2(X1,X2) = k15_lattice3(k11_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_101,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_102,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_103,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| k3_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]),c_0_98]) ).
cnf(c_0_105,plain,
( k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))) = k6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_90])]),c_0_67]),c_0_74]),c_0_75]),c_0_71]) ).
fof(c_0_106,plain,
! [X2] :
( ( k5_lattices(k11_conlat_1(X2)) = k6_conlat_1(X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) )
& ( k6_lattices(k11_conlat_1(X2)) = k5_conlat_1(X2)
| v3_conlat_1(X2)
| ~ l2_conlat_1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t1_conlat_2])])])]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| k6_lattices(k11_conlat_1(esk1_0)) != k5_conlat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_97])]),c_0_98]) ).
cnf(c_0_110,plain,
( v3_conlat_1(X1)
| k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_111,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_97])]),c_0_98]) ).
cnf(c_0_113,negated_conjecture,
( v3_struct_0(k11_conlat_1(esk1_0))
| ~ l3_lattices(k11_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
v3_struct_0(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_67]),c_0_97])]),c_0_98]) ).
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_71,c_0_114]),c_0_97])]),c_0_98]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT340+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 10:17:09 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.20/1.39 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.20/1.39 # Preprocessing time : 0.028 s
% 0.20/1.39
% 0.20/1.39 # Proof found!
% 0.20/1.39 # SZS status Theorem
% 0.20/1.39 # SZS output start CNFRefutation
% See solution above
% 0.20/1.40 # Proof object total steps : 116
% 0.20/1.40 # Proof object clause steps : 67
% 0.20/1.40 # Proof object formula steps : 49
% 0.20/1.40 # Proof object conjectures : 13
% 0.20/1.40 # Proof object clause conjectures : 10
% 0.20/1.40 # Proof object formula conjectures : 3
% 0.20/1.40 # Proof object initial clauses used : 43
% 0.20/1.40 # Proof object initial formulas used : 24
% 0.20/1.40 # Proof object generating inferences : 22
% 0.20/1.40 # Proof object simplifying inferences : 51
% 0.20/1.40 # Training examples: 0 positive, 0 negative
% 0.20/1.40 # Parsed axioms : 120
% 0.20/1.40 # Removed by relevancy pruning/SinE : 0
% 0.20/1.40 # Initial clauses : 286
% 0.20/1.40 # Removed in clause preprocessing : 24
% 0.20/1.40 # Initial clauses in saturation : 262
% 0.20/1.40 # Processed clauses : 3848
% 0.20/1.40 # ...of these trivial : 0
% 0.20/1.40 # ...subsumed : 2475
% 0.20/1.40 # ...remaining for further processing : 1373
% 0.20/1.40 # Other redundant clauses eliminated : 6
% 0.20/1.40 # Clauses deleted for lack of memory : 0
% 0.20/1.40 # Backward-subsumed : 89
% 0.20/1.40 # Backward-rewritten : 13
% 0.20/1.40 # Generated clauses : 20493
% 0.20/1.40 # ...of the previous two non-trivial : 19473
% 0.20/1.40 # Contextual simplify-reflections : 4138
% 0.20/1.40 # Paramodulations : 20307
% 0.20/1.40 # Factorizations : 36
% 0.20/1.40 # Equation resolutions : 150
% 0.20/1.40 # Current number of processed clauses : 1270
% 0.20/1.40 # Positive orientable unit clauses : 62
% 0.20/1.40 # Positive unorientable unit clauses: 0
% 0.20/1.40 # Negative unit clauses : 12
% 0.20/1.40 # Non-unit-clauses : 1196
% 0.20/1.40 # Current number of unprocessed clauses: 14584
% 0.20/1.40 # ...number of literals in the above : 80320
% 0.20/1.40 # Current number of archived formulas : 0
% 0.20/1.40 # Current number of archived clauses : 103
% 0.20/1.40 # Clause-clause subsumption calls (NU) : 493651
% 0.20/1.40 # Rec. Clause-clause subsumption calls : 107703
% 0.20/1.40 # Non-unit clause-clause subsumptions : 6539
% 0.20/1.40 # Unit Clause-clause subsumption calls : 2580
% 0.20/1.40 # Rewrite failures with RHS unbound : 0
% 0.20/1.40 # BW rewrite match attempts : 11
% 0.20/1.40 # BW rewrite match successes : 6
% 0.20/1.40 # Condensation attempts : 0
% 0.20/1.40 # Condensation successes : 0
% 0.20/1.40 # Termbank termtop insertions : 427839
% 0.20/1.40
% 0.20/1.40 # -------------------------------------------------
% 0.20/1.40 # User time : 0.527 s
% 0.20/1.40 # System time : 0.013 s
% 0.20/1.40 # Total time : 0.540 s
% 0.20/1.40 # Maximum resident set size: 20148 pages
% 0.20/23.39 eprover: CPU time limit exceeded, terminating
% 0.20/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.41 eprover: No such file or directory
% 0.20/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.41 eprover: No such file or directory
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.42 eprover: CPU time limit exceeded, terminating
% 0.20/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.42 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.43 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.44 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.45 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.46 eprover: No such file or directory
% 0.20/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.47 eprover: No such file or directory
% 0.20/23.47 eprover: CPU time limit exceeded, terminating
% 0.20/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.47 eprover: No such file or directory
% 0.20/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.48 eprover: No such file or directory
% 0.20/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.48 eprover: No such file or directory
% 0.20/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.48 eprover: No such file or directory
% 0.20/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.48 eprover: No such file or directory
% 0.20/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.20/23.49 eprover: No such file or directory
% 0.20/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.49 eprover: No such file or directory
% 0.20/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.49 eprover: No such file or directory
% 0.20/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.49 eprover: No such file or directory
% 0.20/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.50 eprover: No such file or directory
% 0.20/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.50 eprover: No such file or directory
% 0.20/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.20/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------