TSTP Solution File: LAT297+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 04:46:36 EDT 2022
% Result : Theorem 0.23s 2.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 7 unt; 0 def)
% Number of atoms : 394 ( 17 equ)
% Maximal formula atoms : 51 ( 6 avg)
% Number of connectives : 547 ( 215 ~; 239 |; 62 &)
% ( 4 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 116 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_filter_2) ).
fof(commutativity_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_lattices) ).
fof(redefinition_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k3_lattices) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t4_subset) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> ( r2_hidden(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_lattice4) ).
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.mepo_128.in',cc1_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.mepo_128.in',dt_l3_lattices) ).
fof(commutativity_k4_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k4_lattices) ).
fof(redefinition_k4_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_lattices) ).
fof(d9_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( v9_lattices(X1)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,k1_lattices(X1,X2,X3)) = X2 ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d9_lattices) ).
fof(dt_k1_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k1_lattices(X1,X2,X3),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_lattices) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[t13_filter_2]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v4_lattices(X4)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k3_lattices(X4,X5,X6) = k3_lattices(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k3_lattices])])]) ).
fof(c_0_13,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v4_lattices(X4)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k3_lattices(X4,X5,X6) = k1_lattices(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k3_lattices])])]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_15,negated_conjecture,
! [X7,X8] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( ~ r2_hidden(X7,esk2_0)
| ~ r2_hidden(X8,esk2_0)
| r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ( r2_hidden(X7,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ( r2_hidden(X8,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ~ m2_lattice4(esk2_0,esk1_0) ),
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)],[c_0_11])])])])])])])]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X8] :
( ( r2_hidden(k4_lattices(X5,X7,X8),X6)
| ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(k3_lattices(X5,X7,X8),X6)
| ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk3_2(X5,X6),u1_struct_0(X5))
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk3_2(X5,X6),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk4_2(X5,X6),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r2_hidden(k4_lattices(X5,esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| ~ r2_hidden(k3_lattices(X5,esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(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)],[d10_lattice4])])])])])])])]) ).
cnf(c_0_17,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,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])])])]) ).
fof(c_0_20,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])])]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k4_lattices(X4,X5,X6) = k4_lattices(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k4_lattices])])]) ).
cnf(c_0_22,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k4_lattices(X4,X5,X6) = k2_lattices(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])])]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ r2_hidden(k4_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( k3_lattices(X1,X2,X3) = k1_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| m1_subset_1(esk3_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| v4_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_35,negated_conjecture,
( r2_hidden(X2,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_36,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_37,plain,
! [X4,X5,X6] :
( ( ~ v9_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_lattices(X4,X5,k1_lattices(X4,X5,X6)) = X5
| v3_struct_0(X4)
| ~ l3_lattices(X4) )
& ( m1_subset_1(esk5_1(X4),u1_struct_0(X4))
| v9_lattices(X4)
| v3_struct_0(X4)
| ~ l3_lattices(X4) )
& ( m1_subset_1(esk6_1(X4),u1_struct_0(X4))
| v9_lattices(X4)
| v3_struct_0(X4)
| ~ l3_lattices(X4) )
& ( k2_lattices(X4,esk5_1(X4),k1_lattices(X4,esk5_1(X4),esk6_1(X4))) != esk5_1(X4)
| v9_lattices(X4)
| v3_struct_0(X4)
| ~ l3_lattices(X4) ) ),
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)],[d9_lattices])])])])])])])]) ).
cnf(c_0_38,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ r2_hidden(k4_lattices(X2,esk3_2(X2,X1),esk4_2(X2,X1)),X1)
| ~ r2_hidden(k1_lattices(X2,esk4_2(X2,X1),esk3_2(X2,X1)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X1,esk2_0)
| ~ r2_hidden(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_31]),c_0_31]),c_0_34]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_42,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ l1_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ r2_hidden(k2_lattices(esk1_0,X2,X1),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| k2_lattices(X1,X2,k1_lattices(X1,X2,X3)) = X2
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v9_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( ~ r2_hidden(k1_lattices(esk1_0,esk4_2(esk1_0,esk2_0),esk3_2(esk1_0,esk2_0)),esk2_0)
| ~ r2_hidden(esk3_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk4_2(esk1_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_23]),c_0_40]),c_0_41])]),c_0_42]),c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( r2_hidden(k1_lattices(esk1_0,X1,X2),esk2_0)
| ~ l1_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ r2_hidden(X1,esk2_0)
| ~ m1_subset_1(k1_lattices(esk1_0,X1,X2),u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_40])]),c_0_33]),c_0_34]) ).
fof(c_0_47,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| m1_subset_1(k1_lattices(X4,X5,X6),u1_struct_0(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k1_lattices])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ r2_hidden(esk3_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk4_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(k1_lattices(esk1_0,esk4_2(esk1_0,esk2_0),esk3_2(esk1_0,esk2_0)),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_34]) ).
cnf(c_0_49,plain,
( m1_subset_1(k1_lattices(X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ r2_hidden(esk3_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk4_2(esk1_0,esk2_0),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_33]),c_0_34]),c_0_34]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk4_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_52,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ r2_hidden(esk3_2(esk1_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_23]),c_0_40]),c_0_41])]),c_0_42]),c_0_33]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk3_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_23]),c_0_40]),c_0_41])]),c_0_42]),c_0_33]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_56,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| ~ v9_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_54,c_0_55]),c_0_40]),c_0_41])]),c_0_33]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_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_56,c_0_57]),c_0_40]),c_0_41])]),c_0_33]) ).
cnf(c_0_59,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_60,negated_conjecture,
~ l2_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_40])]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_30]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT297+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 09:08:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/2.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/2.41 # Preprocessing time : 0.022 s
% 0.23/2.41
% 0.23/2.41 # Proof found!
% 0.23/2.41 # SZS status Theorem
% 0.23/2.41 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 62
% 0.23/2.42 # Proof object clause steps : 39
% 0.23/2.42 # Proof object formula steps : 23
% 0.23/2.42 # Proof object conjectures : 23
% 0.23/2.42 # Proof object clause conjectures : 20
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 24
% 0.23/2.42 # Proof object initial formulas used : 11
% 0.23/2.42 # Proof object generating inferences : 15
% 0.23/2.42 # Proof object simplifying inferences : 48
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 85
% 0.23/2.42 # Removed by relevancy pruning/SinE : 0
% 0.23/2.42 # Initial clauses : 147
% 0.23/2.42 # Removed in clause preprocessing : 17
% 0.23/2.42 # Initial clauses in saturation : 130
% 0.23/2.42 # Processed clauses : 5939
% 0.23/2.42 # ...of these trivial : 6
% 0.23/2.42 # ...subsumed : 3498
% 0.23/2.42 # ...remaining for further processing : 2435
% 0.23/2.42 # Other redundant clauses eliminated : 0
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 84
% 0.23/2.42 # Backward-rewritten : 58
% 0.23/2.42 # Generated clauses : 41203
% 0.23/2.42 # ...of the previous two non-trivial : 38671
% 0.23/2.42 # Contextual simplify-reflections : 6855
% 0.23/2.42 # Paramodulations : 41052
% 0.23/2.42 # Factorizations : 0
% 0.23/2.42 # Equation resolutions : 0
% 0.23/2.42 # Current number of processed clauses : 2233
% 0.23/2.42 # Positive orientable unit clauses : 82
% 0.23/2.42 # Positive unorientable unit clauses: 1
% 0.23/2.42 # Negative unit clauses : 41
% 0.23/2.42 # Non-unit-clauses : 2109
% 0.23/2.42 # Current number of unprocessed clauses: 31890
% 0.23/2.42 # ...number of literals in the above : 286849
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 143
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 2516034
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 424035
% 0.23/2.42 # Non-unit clause-clause subsumptions : 10191
% 0.23/2.42 # Unit Clause-clause subsumption calls : 31268
% 0.23/2.42 # Rewrite failures with RHS unbound : 0
% 0.23/2.42 # BW rewrite match attempts : 174
% 0.23/2.42 # BW rewrite match successes : 32
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 1790439
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.395 s
% 0.23/2.42 # System time : 0.027 s
% 0.23/2.42 # Total time : 1.422 s
% 0.23/2.42 # Maximum resident set size: 51208 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------