TSTP Solution File: LAT331+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT331+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:47:16 EDT 2022
% Result : Theorem 1.83s 5.01s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 34 unt; 0 def)
% Number of atoms : 258 ( 55 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 303 ( 107 ~; 114 |; 60 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 1 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t68_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,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 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t68_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(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',t6_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t63_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( u1_struct_0(k8_filter_0(X1,X2)) = X2
& u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
& u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',t63_filter_0) ).
fof(fc2_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',fc2_filter_0) ).
fof(dt_k8_filter_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+242.ax',dt_k8_filter_0) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+205.ax',abstractness_v3_lattices) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,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 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t68_filter_2]) ).
fof(c_0_9,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])])])]) ).
fof(c_0_10,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& v10_lattices(esk2_0)
& l3_lattices(esk2_0)
& m1_filter_2(esk3_0,esk1_0)
& m1_filter_2(esk4_0,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))
& esk3_0 = esk4_0
& k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0) ),
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_8])])])])])]) ).
fof(c_0_11,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])])])])]) ).
cnf(c_0_12,plain,
( v3_struct_0(X1)
| u2_lattices(X1) = u1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,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_10]) ).
cnf(c_0_18,negated_conjecture,
u2_lattices(esk2_0) = u1_lattices(k1_lattice2(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
fof(c_0_19,plain,
! [X3,X4,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
m1_filter_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| u1_lattices(X1) = u2_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( k1_lattice2(X1) = k1_lattice2(esk1_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(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u1_lattices(k1_lattice2(esk2_0)),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ( u1_struct_0(k8_filter_0(X3,X4)) = X4
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( u2_lattices(k8_filter_0(X3,X4)) = k1_realset1(u2_lattices(X3),X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( u1_lattices(k8_filter_0(X3,X4)) = k1_realset1(u1_lattices(X3),X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t63_filter_0])])])])])])]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
m1_filter_2(esk3_0,esk2_0),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
u2_lattices(k1_lattice2(esk2_0)) = u1_lattices(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_13]),c_0_14]) ).
cnf(c_0_31,negated_conjecture,
k1_lattice2(esk2_0) = k1_lattice2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_13])]),c_0_24])]) ).
cnf(c_0_32,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_25]) ).
fof(c_0_33,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v4_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v5_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v6_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v7_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v8_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v9_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_filter_0])])])]) ).
cnf(c_0_34,negated_conjecture,
m1_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| u2_lattices(k8_filter_0(X1,X2)) = k1_realset1(u2_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,negated_conjecture,
m1_filter_0(esk3_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| u1_lattices(k8_filter_0(X1,X2)) = k1_realset1(u1_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( l3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k8_filter_0])])])]) ).
fof(c_0_41,plain,
! [X2] :
( ~ l3_lattices(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X2)
| v3_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| u1_struct_0(k8_filter_0(X1,X2)) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_35]),c_0_16])]),c_0_25]) ).
cnf(c_0_45,negated_conjecture,
u2_lattices(esk1_0) = u1_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_25]) ).
cnf(c_0_46,negated_conjecture,
k1_realset1(u1_lattices(k1_lattice2(esk1_0)),esk3_0) = u2_lattices(k8_filter_0(esk2_0,esk3_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_36,c_0_37]),c_0_18]),c_0_31]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_47,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),esk3_0) = u1_lattices(k8_filter_0(esk2_0,esk3_0)),
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_37]),c_0_39]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_48,plain,
( v3_struct_0(X2)
| l3_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
v3_lattices(k8_filter_0(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_51,negated_conjecture,
u1_struct_0(k8_filter_0(esk2_0,esk3_0)) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_37]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_52,negated_conjecture,
u2_lattices(k8_filter_0(esk2_0,esk3_0)) = u2_lattices(k8_filter_0(esk1_0,esk3_0)),
inference(rw,[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_36,c_0_44]),c_0_45]),c_0_35]),c_0_16])]),c_0_25]),c_0_46]) ).
cnf(c_0_53,negated_conjecture,
u1_lattices(k8_filter_0(esk2_0,esk3_0)) = u1_lattices(k8_filter_0(esk1_0,esk3_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_35]),c_0_16])]),c_0_25]),c_0_47]) ).
cnf(c_0_54,negated_conjecture,
l3_lattices(k8_filter_0(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_29]),c_0_13])]),c_0_14]) ).
cnf(c_0_55,negated_conjecture,
k8_filter_0(esk1_0,esk3_0) != k8_filter_0(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56,negated_conjecture,
v3_lattices(k8_filter_0(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_44]),c_0_35]),c_0_16])]),c_0_25]) ).
cnf(c_0_57,negated_conjecture,
u1_struct_0(k8_filter_0(esk1_0,esk3_0)) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]),c_0_16])]),c_0_25]) ).
cnf(c_0_58,negated_conjecture,
g3_lattices(esk3_0,u2_lattices(k8_filter_0(esk1_0,esk3_0)),u1_lattices(k8_filter_0(esk1_0,esk3_0))) = k8_filter_0(esk2_0,esk3_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_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_59,negated_conjecture,
l3_lattices(k8_filter_0(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_35]),c_0_16])]),c_0_25]) ).
cnf(c_0_60,negated_conjecture,
k8_filter_0(esk2_0,esk3_0) != k8_filter_0(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_61,negated_conjecture,
$false,
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_49,c_0_56]),c_0_57]),c_0_58]),c_0_59])]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT331+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 08:04:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.83/5.01 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.83/5.01 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.83/5.01 # Preprocessing time : 1.214 s
% 1.83/5.01
% 1.83/5.01 # Proof found!
% 1.83/5.01 # SZS status Theorem
% 1.83/5.01 # SZS output start CNFRefutation
% See solution above
% 1.83/5.01 # Proof object total steps : 62
% 1.83/5.01 # Proof object clause steps : 45
% 1.83/5.01 # Proof object formula steps : 17
% 1.83/5.01 # Proof object conjectures : 38
% 1.83/5.01 # Proof object clause conjectures : 35
% 1.83/5.01 # Proof object formula conjectures : 3
% 1.83/5.01 # Proof object initial clauses used : 21
% 1.83/5.01 # Proof object initial formulas used : 8
% 1.83/5.01 # Proof object generating inferences : 20
% 1.83/5.01 # Proof object simplifying inferences : 77
% 1.83/5.01 # Training examples: 0 positive, 0 negative
% 1.83/5.01 # Parsed axioms : 34738
% 1.83/5.01 # Removed by relevancy pruning/SinE : 34527
% 1.83/5.01 # Initial clauses : 726
% 1.83/5.01 # Removed in clause preprocessing : 31
% 1.83/5.01 # Initial clauses in saturation : 695
% 1.83/5.01 # Processed clauses : 4456
% 1.83/5.01 # ...of these trivial : 382
% 1.83/5.01 # ...subsumed : 423
% 1.83/5.01 # ...remaining for further processing : 3651
% 1.83/5.01 # Other redundant clauses eliminated : 16
% 1.83/5.01 # Clauses deleted for lack of memory : 0
% 1.83/5.01 # Backward-subsumed : 34
% 1.83/5.01 # Backward-rewritten : 245
% 1.83/5.01 # Generated clauses : 70173
% 1.83/5.01 # ...of the previous two non-trivial : 68944
% 1.83/5.01 # Contextual simplify-reflections : 503
% 1.83/5.01 # Paramodulations : 70104
% 1.83/5.01 # Factorizations : 0
% 1.83/5.01 # Equation resolutions : 66
% 1.83/5.01 # Current number of processed clauses : 3353
% 1.83/5.01 # Positive orientable unit clauses : 1057
% 1.83/5.01 # Positive unorientable unit clauses: 0
% 1.83/5.01 # Negative unit clauses : 79
% 1.83/5.01 # Non-unit-clauses : 2217
% 1.83/5.01 # Current number of unprocessed clauses: 60217
% 1.83/5.01 # ...number of literals in the above : 309510
% 1.83/5.01 # Current number of archived formulas : 0
% 1.83/5.01 # Current number of archived clauses : 290
% 1.83/5.01 # Clause-clause subsumption calls (NU) : 1381619
% 1.83/5.01 # Rec. Clause-clause subsumption calls : 159384
% 1.83/5.01 # Non-unit clause-clause subsumptions : 869
% 1.83/5.01 # Unit Clause-clause subsumption calls : 265330
% 1.83/5.01 # Rewrite failures with RHS unbound : 0
% 1.83/5.01 # BW rewrite match attempts : 13133
% 1.83/5.01 # BW rewrite match successes : 40
% 1.83/5.01 # Condensation attempts : 0
% 1.83/5.01 # Condensation successes : 0
% 1.83/5.01 # Termbank termtop insertions : 4085447
% 1.83/5.01
% 1.83/5.01 # -------------------------------------------------
% 1.83/5.01 # User time : 2.817 s
% 1.83/5.01 # System time : 0.086 s
% 1.83/5.01 # Total time : 2.903 s
% 1.83/5.01 # Maximum resident set size: 140936 pages
%------------------------------------------------------------------------------