%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT295+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:06:02 PM UTC 2026
% Result : Theorem 230.19s 46.26s
% Output : CNFRefutation 230.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 339 ( 102 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 468 ( 178 ~; 179 |; 52 &)
% ( 2 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
fof(t1_quantal1,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+401.ax',t1_quantal1) ).
fof(d3_lattices,axiom,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d3_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_filter_2]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& ~ v3_struct_0(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))
=> ( ( X4 = X6
& X3 = X5 )
=> ( ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) )
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t1_quantal1]) ).
fof(c_0_7,plain,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_lattices]) ).
fof(c_0_8,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) )
& ( 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(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)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| ~ r1_lattices(esk1_0,esk3_0,esk4_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)
| r1_lattices(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0) )
& esk4_0 = esk6_0
& esk3_0 = esk5_0
& m1_subset_1(esk6_0,u1_struct_0(esk2_0))
& m1_subset_1(esk5_0,u1_struct_0(esk2_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_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))
& l3_lattices(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_9,plain,
! [X56,X57,X58,X59,X60,X61] :
( ( ~ l3_lattices(X56)
| v3_struct_0(X56)
| ~ l3_lattices(X57)
| v3_struct_0(X57)
| g3_lattices(u1_struct_0(X56),u2_lattices(X56),u1_lattices(X56)) != g3_lattices(u1_struct_0(X57),u2_lattices(X57),u1_lattices(X57))
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X59,u1_struct_0(X56))
| ~ m1_subset_1(X60,u1_struct_0(X57))
| ~ m1_subset_1(X61,u1_struct_0(X57))
| X59 != X61
| X58 != X60
| r1_lattices(X56,X58,X59)
| ~ r1_lattices(X57,X60,X61) )
& ( ~ l3_lattices(X56)
| v3_struct_0(X56)
| ~ l3_lattices(X57)
| v3_struct_0(X57)
| g3_lattices(u1_struct_0(X56),u2_lattices(X56),u1_lattices(X56)) != g3_lattices(u1_struct_0(X57),u2_lattices(X57),u1_lattices(X57))
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X59,u1_struct_0(X56))
| ~ m1_subset_1(X60,u1_struct_0(X57))
| ~ m1_subset_1(X61,u1_struct_0(X57))
| X59 != X61
| X58 != X60
| r1_lattices(X57,X60,X61)
| ~ r1_lattices(X56,X58,X59) )
& ( ~ l3_lattices(X56)
| v3_struct_0(X56)
| ~ l3_lattices(X57)
| v3_struct_0(X57)
| g3_lattices(u1_struct_0(X56),u2_lattices(X56),u1_lattices(X56)) != g3_lattices(u1_struct_0(X57),u2_lattices(X57),u1_lattices(X57))
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X59,u1_struct_0(X56))
| ~ m1_subset_1(X60,u1_struct_0(X57))
| ~ m1_subset_1(X61,u1_struct_0(X57))
| X59 != X61
| X58 != X60
| k2_lattices(X56,X58,X59) = k2_lattices(X57,X60,X61) )
& ( ~ l3_lattices(X56)
| v3_struct_0(X56)
| ~ l3_lattices(X57)
| v3_struct_0(X57)
| g3_lattices(u1_struct_0(X56),u2_lattices(X56),u1_lattices(X56)) != g3_lattices(u1_struct_0(X57),u2_lattices(X57),u1_lattices(X57))
| ~ m1_subset_1(X58,u1_struct_0(X56))
| ~ m1_subset_1(X59,u1_struct_0(X56))
| ~ m1_subset_1(X60,u1_struct_0(X57))
| ~ m1_subset_1(X61,u1_struct_0(X57))
| X59 != X61
| X58 != X60
| k1_lattices(X56,X58,X59) = k1_lattices(X57,X60,X61) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_10,plain,
! [X21,X22,X23] :
( ( ~ l2_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,u1_struct_0(X21))
| ~ m1_subset_1(X23,u1_struct_0(X21))
| r1_lattices(X21,X22,X23)
| k1_lattices(X21,X22,X23) != X23 )
& ( ~ l2_lattices(X21)
| v3_struct_0(X21)
| ~ m1_subset_1(X22,u1_struct_0(X21))
| ~ m1_subset_1(X23,u1_struct_0(X21))
| k1_lattices(X21,X22,X23) = X23
| ~ r1_lattices(X21,X22,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
cnf(c_0_11,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(esk1_0,esk3_0,esk4_0)
| r1_lattices(esk2_0,esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| X3 != X6
| X2 != X5
| v3_struct_0(X1)
| v3_struct_0(X4)
| k1_lattices(X1,X2,X3) = k1_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,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_8]) ).
cnf(c_0_17,plain,
( ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = X3 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_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_11,c_0_12]),c_0_13]),c_0_13]),c_0_12]),c_0_13]),c_0_12]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| v3_struct_0(X1)
| v3_struct_0(X4)
| k1_lattices(X1,X2,X3) = k1_lattices(X4,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])]) ).
cnf(c_0_24,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_8]) ).
cnf(c_0_25,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( ~ r1_lattices(esk2_0,esk3_0,esk6_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_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_16,c_0_13]),c_0_12]),c_0_13]),c_0_12]),c_0_12]),c_0_13]) ).
cnf(c_0_27,plain,
( ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_lattices(X1,X2,X3) != X3
| v3_struct_0(X1)
| r1_lattices(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( ~ l2_lattices(esk2_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_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_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_22,c_0_12]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,u1_struct_0(esk2_0))
| ~ l3_lattices(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))
| v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = k1_lattices(esk2_0,X2,X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_21]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| X3 != X6
| X2 != X5
| v3_struct_0(X1)
| v3_struct_0(X4)
| k2_lattices(X1,X2,X3) = k2_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| 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_26,c_0_27]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_36,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk2_0,esk3_0,esk6_0) != k1_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_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_17,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33])]),c_0_31]) ).
cnf(c_0_38,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| v3_struct_0(X1)
| v3_struct_0(X4)
| k2_lattices(X1,X2,X3) = k2_lattices(X4,X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| 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_35,c_0_27]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| k1_lattices(esk1_0,esk3_0,esk6_0) = esk6_0 ),
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_36,c_0_37]),c_0_19]),c_0_20]),c_0_29]),c_0_30])]) ).
cnf(c_0_41,negated_conjecture,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,u1_struct_0(esk2_0))
| ~ l3_lattices(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))
| v3_struct_0(X1)
| k2_lattices(X1,X2,X3) = k2_lattices(esk2_0,X2,X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_25])]),c_0_21]) ).
cnf(c_0_42,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0) ),
inference(csr,[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_39,c_0_37]),c_0_19]),c_0_20]),c_0_29]),c_0_30])]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_41]),c_0_33])]),c_0_31]) ).
fof(c_0_44,plain,
! [X159] :
( ( ~ l3_lattices(X159)
| l2_lattices(X159) )
& ( ~ l3_lattices(X159)
| l1_lattices(X159) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
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_42,c_0_43]),c_0_19]),c_0_20]),c_0_29]),c_0_30])]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_47,negated_conjecture,
~ l2_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_25])]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT295+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/10.36 % Computer : n012.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Sun Sep 20 23:29:04 UTC 2026
% 0.08/10.36 % CPUTime :
% 0.08/10.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/10.40 Running first-order theorem proving
% 0.13/10.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.19/46.26 % Version: 3.5.1
% 230.19/46.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 230.19/46.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.19/46.26 % Starting new_bool_3 with 900s (3) cores
% 230.19/46.26 % Starting new_bool_1 with 900s (3) cores
% 230.19/46.26 % Starting sh5l with 300s (1) cores
% 230.19/46.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 230.19/46.26 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1080008 completed with status 0
% 230.19/46.26 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 230.19/46.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 230.19/46.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.19/46.26 % Starting new_bool_3 with 900s (3) cores
% 230.19/46.26 % Starting new_bool_1 with 900s (3) cores
% 230.19/46.26 % Starting sh5l with 300s (1) cores
% 230.19/46.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 230.19/46.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 230.19/46.26 % SinE strategy is gf120_gu_R02_F100_L20000
% 230.19/46.26 % Search class: FGHSM-FSLM31-MFFFFFNN
% 230.19/46.26 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 230.19/46.26 % Starting SubtermCWHack with 28s (1) cores
% 230.19/46.26 % SubtermCWHack with pid 1080009 completed with status 8
% 230.19/46.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 230.19/46.26 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 1080416 completed with status 0
% 230.19/46.26 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 230.19/46.26 % Preprocessing class: FMLLSMLLSSSNFFN.
% 230.19/46.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 230.19/46.26 % Starting new_bool_3 with 900s (3) cores
% 230.19/46.26 % Starting new_bool_1 with 900s (3) cores
% 230.19/46.26 % Starting sh5l with 300s (1) cores
% 230.19/46.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 230.19/46.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 230.19/46.26 % SinE strategy is gf120_gu_R02_F100_L20000
% 230.19/46.26 % Search class: FGHSM-FSLM31-MFFFFFNN
% 230.19/46.26 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 230.19/46.26 % Starting SubtermCWHack with 28s (1) cores
% 230.19/46.26 % SubtermCWHack with pid 1080009 completed with status 8
% 230.19/46.26 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 31s (1) cores
% 230.19/46.26 % Preprocessing time : 0.028 s
% 230.19/46.26
% 230.19/46.26 % Proof found!
% 230.19/46.26 % SZS status Theorem
% 230.19/46.26 % SZS output start CNFRefutation
% See solution above
% 230.19/46.26 % Parsed axioms : 13583
% 230.19/46.26 % Removed by relevancy pruning/SinE : 13425
% 230.19/46.26 % Initial clauses : 413
% 230.19/46.26 % Removed in clause preprocessing : 17
% 230.19/46.26 % Initial clauses in saturation : 396
% 230.19/46.26 % Processed clauses : 1803
% 230.19/46.26 % ...of these trivial : 24
% 230.19/46.26 % ...subsumed : 493
% 230.19/46.26 % ...remaining for further processing : 1286
% 230.19/46.26 % Other redundant clauses eliminated : 287
% 230.19/46.26 % Clauses deleted for lack of memory : 0
% 230.19/46.26 % Backward-subsumed : 318
% 230.19/46.26 % Backward-rewritten : 80
% 230.19/46.26 % Generated clauses : 14771
% 230.19/46.26 % ...of the previous two non-redundant : 13343
% 230.19/46.26 % ...aggressively subsumed : 0
% 230.19/46.26 % Contextual simplify-reflections : 119
% 230.19/46.26 % Paramodulations : 14438
% 230.19/46.26 % Factorizations : 4
% 230.19/46.26 % NegExts : 0
% 230.19/46.26 % Equation resolutions : 333
% 230.19/46.26 % Disequality decompositions : 0
% 230.19/46.26 % Total rewrite steps : 4071
% 230.19/46.26 % ...of those cached : 3972
% 230.19/46.26 % Propositional unsat checks : 0
% 230.19/46.26 % Propositional check models : 0
% 230.19/46.26 % Propositional check unsatisfiable : 0
% 230.19/46.26 % Propositional clauses : 0
% 230.19/46.26 % Propositional clauses after purity: 0
% 230.19/46.26 % Propositional unsat core size : 0
% 230.19/46.26 % Propositional preprocessing time : 0.000
% 230.19/46.26 % Propositional encoding time : 0.000
% 230.19/46.26 % Propositional solver time : 0.000
% 230.19/46.26 % Success case prop preproc time : 0.000
% 230.19/46.26 % Success case prop encoding time : 0.000
% 230.19/46.26 % Success case prop solver time : 0.000
% 230.19/46.26 % Current number of processed clauses : 884
% 230.19/46.26 % Positive orientable unit clauses : 94
% 230.19/46.26 % Positive unorientable unit clauses: 0
% 230.19/46.26 % Negative unit clauses : 11
% 230.19/46.26 % Non-unit-clauses : 779
% 230.19/46.26 % Current number of unprocessed clauses: 11710
% 230.19/46.26 % ...number of literals in the above : 75557
% 230.19/46.26 % Current number of archived formulas : 0
% 230.19/46.26 % Current number of archived clauses : 398
% 230.19/46.26 % Clause-clause subsumption calls (NU) : 413695
% 230.19/46.26 % Rec. Clause-clause subsumption calls : 40571
% 230.19/46.26 % Non-unit clause-clause subsumptions : 872
% 230.19/46.26 % Unit Clause-clause subsumption calls : 9642
% 230.19/46.26 % Rewrite failures with RHS unbound : 0
% 230.19/46.26 % BW rewrite match attempts : 42
% 230.19/46.26 % BW rewrite match successes : 25
% 230.19/46.26 % Condensation attempts : 0
% 230.19/46.26 % Condensation successes : 0
% 230.19/46.26 % Termbank termtop insertions : 659239
% 230.19/46.26 % Search garbage collected termcells : 122415
% 230.19/46.26
% 230.19/46.26 % -------------------------------------------------
% 230.19/46.26 % User time : 27.843 s
% 230.19/46.26 % System time : 1.176 s
% 230.19/46.26 % Total time : 29.019 s
% 230.19/46.26 % Maximum resident set size: 27396 pages
% 230.19/46.26
% 230.19/46.26 % -------------------------------------------------
% 230.19/46.26 % User time : 28.365 s
% 230.19/46.26 % System time : 1.216 s
% 230.19/46.26 % Total time : 29.581 s
% 230.19/46.26 % Maximum resident set size: 23296 pages
% 230.19/46.26 % E exiting
%------------------------------------------------------------------------------