TSTP Solution File: LAT295+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT295+4 : 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 04:46:35 EDT 2022
% Result : Theorem 1.83s 4.02s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 45 ( 18 unt; 0 def)
% Number of atoms : 296 ( 83 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 421 ( 170 ~; 186 |; 35 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_quantal1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+401.ax',t1_quantal1) ).
fof(t8_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t8_filter_2) ).
fof(c_0_2,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( k1_lattices(X7,X9,X10) = k1_lattices(X8,X11,X12)
| X9 != X11
| X10 != X12
| ~ m1_subset_1(X12,u1_struct_0(X8))
| ~ m1_subset_1(X11,u1_struct_0(X8))
| ~ m1_subset_1(X10,u1_struct_0(X7))
| ~ m1_subset_1(X9,u1_struct_0(X7))
| g3_lattices(u1_struct_0(X7),u2_lattices(X7),u1_lattices(X7)) != g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| v3_struct_0(X7)
| ~ l3_lattices(X7) )
& ( k2_lattices(X7,X9,X10) = k2_lattices(X8,X11,X12)
| X9 != X11
| X10 != X12
| ~ m1_subset_1(X12,u1_struct_0(X8))
| ~ m1_subset_1(X11,u1_struct_0(X8))
| ~ m1_subset_1(X10,u1_struct_0(X7))
| ~ m1_subset_1(X9,u1_struct_0(X7))
| g3_lattices(u1_struct_0(X7),u2_lattices(X7),u1_lattices(X7)) != g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| v3_struct_0(X7)
| ~ l3_lattices(X7) )
& ( ~ r1_lattices(X7,X9,X10)
| r1_lattices(X8,X11,X12)
| X9 != X11
| X10 != X12
| ~ m1_subset_1(X12,u1_struct_0(X8))
| ~ m1_subset_1(X11,u1_struct_0(X8))
| ~ m1_subset_1(X10,u1_struct_0(X7))
| ~ m1_subset_1(X9,u1_struct_0(X7))
| g3_lattices(u1_struct_0(X7),u2_lattices(X7),u1_lattices(X7)) != g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| v3_struct_0(X7)
| ~ l3_lattices(X7) )
& ( ~ r1_lattices(X8,X11,X12)
| r1_lattices(X7,X9,X10)
| X9 != X11
| X10 != X12
| ~ m1_subset_1(X12,u1_struct_0(X8))
| ~ m1_subset_1(X11,u1_struct_0(X8))
| ~ m1_subset_1(X10,u1_struct_0(X7))
| ~ m1_subset_1(X9,u1_struct_0(X7))
| g3_lattices(u1_struct_0(X7),u2_lattices(X7),u1_lattices(X7)) != g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| v3_struct_0(X7)
| ~ l3_lattices(X7) ) ),
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)],[t1_quantal1])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_filter_2]) ).
cnf(c_0_4,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X4 != X6
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk2_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk5_0,u1_struct_0(esk2_0))
& m1_subset_1(esk6_0,u1_struct_0(esk2_0))
& esk3_0 = esk5_0
& esk4_0 = esk6_0
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) )
& ( ~ r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0) ) ),
inference(distribute,[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_3])])])])])])]) ).
cnf(c_0_6,plain,
( k1_lattices(X1,X2,X3) = k1_lattices(X4,X2,X3)
| v3_struct_0(X4)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| ~ l3_lattices(X4)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X4 != X6
| X3 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( k1_lattices(X1,X2,esk6_0) = k1_lattices(esk2_0,X2,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_15,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( k2_lattices(X1,X2,X3) = k2_lattices(X4,X2,X3)
| v3_struct_0(X4)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| ~ l3_lattices(X4)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_lattices(X2,X5,X6)
| ~ l3_lattices(X1)
| ~ l3_lattices(X2)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X4 != X6
| X3 != X5
| ~ r1_lattices(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0)
| k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( k1_lattices(X1,esk3_0,esk6_0) = k1_lattices(esk2_0,esk3_0,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( k2_lattices(X1,X2,esk6_0) = k2_lattices(esk2_0,X2,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( k2_lattices(esk1_0,esk3_0,esk4_0) != k2_lattices(esk2_0,esk5_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk4_0) != k1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk2_0,esk5_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,plain,
( r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X4)
| g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ r1_lattices(X4,X2,X3)
| ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17]),c_0_12]),c_0_12]),c_0_17]),c_0_12]),c_0_17]) ).
cnf(c_0_30,negated_conjecture,
k1_lattices(esk2_0,esk3_0,esk6_0) = k1_lattices(esk1_0,esk3_0,esk6_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( k2_lattices(X1,esk3_0,esk6_0) = k2_lattices(esk2_0,esk3_0,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_32,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_12]),c_0_17]),c_0_12]),c_0_17]),c_0_17]),c_0_12]) ).
cnf(c_0_33,negated_conjecture,
( r1_lattices(esk1_0,X1,esk6_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r1_lattices(X2,X1,esk6_0)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk6_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23])]),c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk2_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_35,negated_conjecture,
k2_lattices(esk2_0,esk3_0,esk6_0) = k2_lattices(esk1_0,esk3_0,esk6_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_36,negated_conjecture,
( k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_30])]) ).
cnf(c_0_37,negated_conjecture,
( r1_lattices(esk1_0,esk3_0,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r1_lattices(X1,esk3_0,esk6_0)
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_24]) ).
cnf(c_0_38,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_39,negated_conjecture,
( r1_lattices(esk2_0,X1,esk6_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r1_lattices(X2,X1,esk6_0)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(esk6_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_7]),c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_40,negated_conjecture,
( ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ r1_lattices(esk2_0,esk3_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_41,negated_conjecture,
r1_lattices(esk1_0,esk3_0,esk6_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_8]),c_0_9]),c_0_7]),c_0_15])]),c_0_10]) ).
cnf(c_0_42,negated_conjecture,
( r1_lattices(esk2_0,esk3_0,esk6_0)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r1_lattices(X1,esk3_0,esk6_0)
| ~ l3_lattices(X1)
| ~ m1_subset_1(esk6_0,u1_struct_0(X1))
| ~ m1_subset_1(esk3_0,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_39,c_0_15]) ).
cnf(c_0_43,negated_conjecture,
~ r1_lattices(esk2_0,esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_44,negated_conjecture,
$false,
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_42,c_0_41]),c_0_23]),c_0_22]),c_0_24])]),c_0_25]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT295+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 06:25:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.83/4.02 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.83/4.02 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.83/4.02 # Preprocessing time : 1.237 s
% 1.83/4.02
% 1.83/4.02 # Proof found!
% 1.83/4.02 # SZS status Theorem
% 1.83/4.02 # SZS output start CNFRefutation
% See solution above
% 1.83/4.02 # Proof object total steps : 45
% 1.83/4.02 # Proof object clause steps : 40
% 1.83/4.02 # Proof object formula steps : 5
% 1.83/4.02 # Proof object conjectures : 37
% 1.83/4.02 # Proof object clause conjectures : 34
% 1.83/4.02 # Proof object formula conjectures : 3
% 1.83/4.02 # Proof object initial clauses used : 16
% 1.83/4.02 # Proof object initial formulas used : 2
% 1.83/4.02 # Proof object generating inferences : 12
% 1.83/4.02 # Proof object simplifying inferences : 65
% 1.83/4.02 # Training examples: 0 positive, 0 negative
% 1.83/4.02 # Parsed axioms : 34658
% 1.83/4.02 # Removed by relevancy pruning/SinE : 34516
% 1.83/4.02 # Initial clauses : 370
% 1.83/4.02 # Removed in clause preprocessing : 13
% 1.83/4.02 # Initial clauses in saturation : 357
% 1.83/4.02 # Processed clauses : 480
% 1.83/4.02 # ...of these trivial : 2
% 1.83/4.02 # ...subsumed : 47
% 1.83/4.02 # ...remaining for further processing : 430
% 1.83/4.02 # Other redundant clauses eliminated : 8
% 1.83/4.02 # Clauses deleted for lack of memory : 0
% 1.83/4.02 # Backward-subsumed : 0
% 1.83/4.02 # Backward-rewritten : 13
% 1.83/4.02 # Generated clauses : 2166
% 1.83/4.02 # ...of the previous two non-trivial : 2088
% 1.83/4.02 # Contextual simplify-reflections : 28
% 1.83/4.02 # Paramodulations : 2157
% 1.83/4.02 # Factorizations : 0
% 1.83/4.02 # Equation resolutions : 13
% 1.83/4.02 # Current number of processed clauses : 413
% 1.83/4.02 # Positive orientable unit clauses : 63
% 1.83/4.02 # Positive unorientable unit clauses: 0
% 1.83/4.02 # Negative unit clauses : 6
% 1.83/4.02 # Non-unit-clauses : 344
% 1.83/4.02 # Current number of unprocessed clauses: 1965
% 1.83/4.02 # ...number of literals in the above : 12503
% 1.83/4.02 # Current number of archived formulas : 0
% 1.83/4.02 # Current number of archived clauses : 13
% 1.83/4.02 # Clause-clause subsumption calls (NU) : 40594
% 1.83/4.02 # Rec. Clause-clause subsumption calls : 2285
% 1.83/4.02 # Non-unit clause-clause subsumptions : 75
% 1.83/4.02 # Unit Clause-clause subsumption calls : 2182
% 1.83/4.02 # Rewrite failures with RHS unbound : 0
% 1.83/4.02 # BW rewrite match attempts : 10
% 1.83/4.02 # BW rewrite match successes : 7
% 1.83/4.02 # Condensation attempts : 0
% 1.83/4.02 # Condensation successes : 0
% 1.83/4.02 # Termbank termtop insertions : 1119593
% 1.83/4.02
% 1.83/4.02 # -------------------------------------------------
% 1.83/4.02 # User time : 1.229 s
% 1.83/4.02 # System time : 0.066 s
% 1.83/4.02 # Total time : 1.295 s
% 1.83/4.02 # Maximum resident set size: 84544 pages
% 1.83/14.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.70 eprover: No such file or directory
% 1.83/14.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.71 eprover: No such file or directory
% 1.83/14.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.71 eprover: No such file or directory
% 1.83/14.71 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.71 eprover: No such file or directory
% 1.83/14.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.72 eprover: No such file or directory
% 1.83/14.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.72 eprover: No such file or directory
% 1.83/14.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.73 eprover: No such file or directory
% 1.83/14.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.73 eprover: No such file or directory
% 1.83/14.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.73 eprover: No such file or directory
% 1.83/14.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.74 eprover: No such file or directory
% 1.83/14.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/14.74 eprover: No such file or directory
% 1.83/15.03 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.03 eprover: No such file or directory
% 1.83/15.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.04 eprover: No such file or directory
% 1.83/15.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.04 eprover: No such file or directory
% 1.83/15.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.04 eprover: No such file or directory
% 1.83/15.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.05 eprover: No such file or directory
% 1.83/15.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.05 eprover: No such file or directory
% 1.83/15.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.05 eprover: No such file or directory
% 1.83/15.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.06 eprover: No such file or directory
% 1.83/15.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.06 eprover: No such file or directory
% 1.83/15.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.06 eprover: No such file or directory
% 1.83/15.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.83/15.07 eprover: No such file or directory
% 1.83/25.01 eprover: CPU time limit exceeded, terminating
% 1.83/25.03 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.03 eprover: No such file or directory
% 1.83/25.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.04 eprover: No such file or directory
% 1.83/25.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.04 eprover: No such file or directory
% 1.83/25.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.05 eprover: No such file or directory
% 1.83/25.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.05 eprover: No such file or directory
% 1.83/25.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.06 eprover: No such file or directory
% 1.83/25.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.06 eprover: No such file or directory
% 1.83/25.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.07 eprover: No such file or directory
% 1.83/25.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.08 eprover: No such file or directory
% 1.83/25.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.08 eprover: No such file or directory
% 1.83/25.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.83/25.09 eprover: No such file or directory
%------------------------------------------------------------------------------