TSTP Solution File: LAT295+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT295+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:46:35 EDT 2022
% Result : Theorem 0.92s 6.10s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 65 ( 22 unt; 0 def)
% Number of atoms : 264 ( 92 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 329 ( 130 ~; 127 |; 37 &)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 70 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_filter_2) ).
fof(t6_filter_2,axiom,
! [X1] :
( l3_lattices(X1)
=> ! [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))
=> k1_lattice2(X1) = k1_lattice2(X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_filter_2) ).
fof(t18_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
& u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
& u1_lattices(X1) = u2_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+253.ax',t18_lattice2) ).
fof(d3_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(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(d1_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d1_lattices) ).
fof(d2_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',d2_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',dt_l3_lattices) ).
fof(c_0_7,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]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ l3_lattices(X3)
| ~ l3_lattices(X4)
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),u1_lattices(X3)) != g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4))
| k1_lattice2(X3) = k1_lattice2(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)],[t6_filter_2])])])])]) ).
fof(c_0_9,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_7])])])])])])]) ).
cnf(c_0_10,plain,
( k1_lattice2(X1) = k1_lattice2(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))
| ~ l3_lattices(X2)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,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_9]) ).
cnf(c_0_12,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X2] :
( ( u1_struct_0(X2) = u1_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( u2_lattices(X2) = u1_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( u1_lattices(X2) = u2_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t18_lattice2])])])]) ).
cnf(c_0_14,negated_conjecture,
( k1_lattice2(X1) = k1_lattice2(esk2_0)
| 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
k1_lattice2(esk2_0) = k1_lattice2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,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_9]) ).
cnf(c_0_21,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
esk4_0 = esk6_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ( ~ r1_lattices(X4,X5,X6)
| k1_lattices(X4,X5,X6) = X6
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) )
& ( k1_lattices(X4,X5,X6) != X6
| r1_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(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)],[d3_lattices])])])])])])]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_25,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))
| k1_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u2_lattices(X4),X5,X6) ),
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_lattices])])])])])]) ).
cnf(c_0_26,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_12])]),c_0_18]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_12])]),c_0_18]) ).
cnf(c_0_29,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_9]) ).
cnf(c_0_30,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_20,c_0_21]),c_0_22]),c_0_21]),c_0_22]),c_0_22]),c_0_21]) ).
cnf(c_0_31,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ 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 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,plain,
( k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_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) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_26]),c_0_15])]),c_0_27]) ).
cnf(c_0_37,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_15])]),c_0_27]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = X3
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,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_29,c_0_22]),c_0_21]),c_0_21]),c_0_22]),c_0_21]),c_0_22]) ).
cnf(c_0_41,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)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| ~ r1_lattices(esk1_0,esk3_0,esk6_0)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]),c_0_18]) ).
cnf(c_0_42,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( k2_binop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u2_lattices(esk1_0),X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ l2_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_18]),c_0_37]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u1_lattices(X4),X5,X6) ),
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_lattices])])])])])]) ).
cnf(c_0_46,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_17]),c_0_12])]),c_0_18]) ).
cnf(c_0_47,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_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)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_32]),c_0_33])]),c_0_18]) ).
cnf(c_0_48,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)
| k1_lattices(esk2_0,esk3_0,esk6_0) != esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_0) != esk6_0
| ~ l2_lattices(esk2_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_41,c_0_31]),c_0_42]),c_0_43])]),c_0_27]) ).
cnf(c_0_49,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_27]) ).
cnf(c_0_50,plain,
( k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_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) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_15])]),c_0_27]) ).
cnf(c_0_52,negated_conjecture,
( k1_lattices(esk2_0,esk3_0,esk6_0) = esk6_0
| k1_lattices(esk1_0,esk3_0,esk6_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)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_42]),c_0_43])]),c_0_27]) ).
cnf(c_0_53,negated_conjecture,
( 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
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_42]),c_0_43])]) ).
fof(c_0_54,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_55,negated_conjecture,
( k2_binop_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_lattices(esk1_0),X1,X2) = k2_lattices(esk2_0,X1,X2)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_18]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_42]),c_0_43])]),c_0_53]) ).
cnf(c_0_57,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk1_0)
| ~ l1_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_55]),c_0_27]) ).
cnf(c_0_59,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0)
| ~ l2_lattices(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_12])]) ).
cnf(c_0_61,negated_conjecture,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_12])]) ).
cnf(c_0_62,negated_conjecture,
k2_lattices(esk2_0,esk3_0,esk6_0) != k2_lattices(esk1_0,esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_57]),c_0_15])]) ).
cnf(c_0_63,negated_conjecture,
( k2_lattices(esk2_0,X1,X2) = k2_lattices(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_15])]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_42]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT295+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 : Tue Jun 28 19:55:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/6.10 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.92/6.10 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.92/6.10 # Preprocessing time : 0.473 s
% 0.92/6.10
% 0.92/6.10 # Proof found!
% 0.92/6.10 # SZS status Theorem
% 0.92/6.10 # SZS output start CNFRefutation
% See solution above
% 0.92/6.10 # Proof object total steps : 65
% 0.92/6.10 # Proof object clause steps : 50
% 0.92/6.10 # Proof object formula steps : 15
% 0.92/6.10 # Proof object conjectures : 43
% 0.92/6.10 # Proof object clause conjectures : 40
% 0.92/6.10 # Proof object formula conjectures : 3
% 0.92/6.10 # Proof object initial clauses used : 23
% 0.92/6.10 # Proof object initial formulas used : 7
% 0.92/6.10 # Proof object generating inferences : 23
% 0.92/6.10 # Proof object simplifying inferences : 76
% 0.92/6.10 # Training examples: 0 positive, 0 negative
% 0.92/6.10 # Parsed axioms : 13583
% 0.92/6.10 # Removed by relevancy pruning/SinE : 13482
% 0.92/6.10 # Initial clauses : 314
% 0.92/6.10 # Removed in clause preprocessing : 11
% 0.92/6.10 # Initial clauses in saturation : 303
% 0.92/6.10 # Processed clauses : 4963
% 0.92/6.10 # ...of these trivial : 56
% 0.92/6.10 # ...subsumed : 2237
% 0.92/6.10 # ...remaining for further processing : 2670
% 0.92/6.10 # Other redundant clauses eliminated : 8
% 0.92/6.10 # Clauses deleted for lack of memory : 0
% 0.92/6.10 # Backward-subsumed : 664
% 0.92/6.10 # Backward-rewritten : 24
% 0.92/6.10 # Generated clauses : 65075
% 0.92/6.10 # ...of the previous two non-trivial : 61101
% 0.92/6.10 # Contextual simplify-reflections : 1717
% 0.92/6.10 # Paramodulations : 65059
% 0.92/6.10 # Factorizations : 0
% 0.92/6.10 # Equation resolutions : 20
% 0.92/6.10 # Current number of processed clauses : 1978
% 0.92/6.10 # Positive orientable unit clauses : 55
% 0.92/6.10 # Positive unorientable unit clauses: 0
% 0.92/6.10 # Negative unit clauses : 5
% 0.92/6.10 # Non-unit-clauses : 1918
% 0.92/6.10 # Current number of unprocessed clauses: 55466
% 0.92/6.10 # ...number of literals in the above : 490216
% 0.92/6.10 # Current number of archived formulas : 0
% 0.92/6.10 # Current number of archived clauses : 688
% 0.92/6.10 # Clause-clause subsumption calls (NU) : 1224024
% 0.92/6.10 # Rec. Clause-clause subsumption calls : 93890
% 0.92/6.10 # Non-unit clause-clause subsumptions : 4611
% 0.92/6.10 # Unit Clause-clause subsumption calls : 2244
% 0.92/6.10 # Rewrite failures with RHS unbound : 0
% 0.92/6.10 # BW rewrite match attempts : 19
% 0.92/6.10 # BW rewrite match successes : 13
% 0.92/6.10 # Condensation attempts : 0
% 0.92/6.10 # Condensation successes : 0
% 0.92/6.10 # Termbank termtop insertions : 3133860
% 0.92/6.10
% 0.92/6.10 # -------------------------------------------------
% 0.92/6.10 # User time : 4.153 s
% 0.92/6.10 # System time : 0.069 s
% 0.92/6.10 # Total time : 4.222 s
% 0.92/6.10 # Maximum resident set size: 99132 pages
% 0.92/24.08 eprover: CPU time limit exceeded, terminating
% 0.92/24.08 eprover: CPU time limit exceeded, terminating
% 0.92/24.09 eprover: CPU time limit exceeded, terminating
% 0.92/24.09 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.09 eprover: No such file or directory
% 0.92/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.10 eprover: No such file or directory
% 0.92/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.10 eprover: No such file or directory
% 0.92/24.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.10 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.11 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.12 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.13 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.14 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.92/24.15 eprover: No such file or directory
% 0.92/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.92/24.15 eprover: No such file or directory
%------------------------------------------------------------------------------