%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT297+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 04:46:37 EDT 2022
% Result : Theorem 0.87s 2.05s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 18 unt; 0 def)
% Number of atoms : 370 ( 6 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 477 ( 181 ~; 222 |; 44 &)
% ( 6 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 113 ( 7 sgn 64 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_filter_2) ).
fof(t11_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> m2_lattice4(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t11_lattice4) ).
fof(d1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( m1_filter_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d1_filter_0) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t2_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(t7_ordinal1,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& r1_tarski(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> ( r2_hidden(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[t13_filter_2]) ).
fof(c_0_14,negated_conjecture,
! [X7,X8] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( ~ r2_hidden(X7,esk2_0)
| ~ r2_hidden(X8,esk2_0)
| r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ( r2_hidden(X7,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ( r2_hidden(X8,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X7,X8),esk2_0)
| ~ m1_subset_1(X8,u1_struct_0(esk1_0))
| ~ m1_subset_1(X7,u1_struct_0(esk1_0)) )
& ~ m2_lattice4(esk2_0,esk1_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])])])])])])]) ).
fof(c_0_15,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3)
| m2_lattice4(X4,X3) ),
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)],[t11_lattice4])])])])])]) ).
fof(c_0_16,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| r2_hidden(k4_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(X7,X6)
| ~ r2_hidden(k4_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(X8,X6)
| ~ r2_hidden(k4_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk18_2(X5,X6),u1_struct_0(X5))
| m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk19_2(X5,X6),u1_struct_0(X5))
| m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r2_hidden(esk18_2(X5,X6),X6)
| ~ r2_hidden(esk19_2(X5,X6),X6)
| ~ r2_hidden(k4_lattices(X5,esk18_2(X5,X6),esk19_2(X5,X6)),X6)
| m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk18_2(X5,X6),X6)
| r2_hidden(k4_lattices(X5,esk18_2(X5,X6),esk19_2(X5,X6)),X6)
| m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk19_2(X5,X6),X6)
| r2_hidden(k4_lattices(X5,esk18_2(X5,X6),esk19_2(X5,X6)),X6)
| m1_filter_0(X6,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_filter_0])])])])])])])]) ).
cnf(c_0_17,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| r2_hidden(esk18_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
~ m1_filter_0(esk2_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_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_27,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(esk19_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk18_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]),c_0_20]),c_0_24])]),c_0_21]),c_0_25]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| m1_subset_1(esk19_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(esk18_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]),c_0_20]),c_0_24])]),c_0_25]),c_0_21]) ).
fof(c_0_31,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_32,plain,
! [X3,X4] :
( ~ m1_subset_1(X3,X4)
| v1_xboole_0(X4)
| r2_hidden(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_33,negated_conjecture,
( m1_subset_1(esk18_2(esk1_0,esk2_0),esk2_0)
| v1_xboole_0(esk2_0)
| ~ m1_subset_1(esk18_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| m1_subset_1(esk18_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_35,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_36,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( m1_subset_1(esk18_2(esk1_0,esk2_0),esk2_0)
| v1_xboole_0(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19]),c_0_20]),c_0_24])]),c_0_25]),c_0_21]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| ~ r2_hidden(esk19_2(X1,X2),X2)
| ~ r2_hidden(esk18_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_40,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_42,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_43,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_44,plain,
v1_xboole_0(esk24_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(c_0_45,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(k4_lattices(X2,esk18_2(X2,X1),esk19_2(X2,X1)),X1)
| ~ r2_hidden(esk18_2(X2,X1),X1)
| ~ r2_hidden(esk19_2(X2,X1),X1) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X2,esk2_0)
| ~ r2_hidden(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,negated_conjecture,
( r2_hidden(X2,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_0(X2,X1)
| r2_hidden(k4_lattices(X1,esk18_2(X1,X2),esk19_2(X1,X2)),X2)
| r2_hidden(esk19_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_49,negated_conjecture,
( m1_subset_1(esk18_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| v1_xboole_0(esk2_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
v1_xboole_0(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_52,plain,
! [X3] :
( m1_subset_1(esk22_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk22_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_53,negated_conjecture,
( ~ r2_hidden(esk18_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk19_2(esk1_0,esk2_0),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_45,c_0_46]),c_0_19]),c_0_20]),c_0_24])]),c_0_21]),c_0_25]),c_0_41]),c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk19_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(esk19_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[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_47,c_0_48]),c_0_19]),c_0_20]),c_0_24])]),c_0_21]),c_0_25]),c_0_49]) ).
fof(c_0_55,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_ordinal1])]) ).
fof(c_0_56,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_57,plain,
( X1 = esk24_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,plain,
v1_xboole_0(esk22_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( v1_xboole_0(esk2_0)
| ~ m1_subset_1(esk19_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_42]) ).
cnf(c_0_60,plain,
( ~ r1_tarski(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
m1_subset_1(esk22_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
esk22_1(X1) = esk24_0,
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
v1_xboole_0(esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_19]),c_0_20]),c_0_24])]),c_0_25]),c_0_21]) ).
cnf(c_0_65,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
m1_subset_1(esk24_0,k1_zfmisc_1(X1)),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X5,X6,X7,X8] :
( ( r2_hidden(k4_lattices(X5,X7,X8),X6)
| ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(k3_lattices(X5,X7,X8),X6)
| ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk5_2(X5,X6),u1_struct_0(X5))
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk4_2(X5,X6),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk5_2(X5,X6),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r2_hidden(k4_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6)
| ~ r2_hidden(k3_lattices(X5,esk4_2(X5,X6),esk5_2(X5,X6)),X6)
| m2_lattice4(X6,X5)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X5)))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d10_lattice4])])])])])])])]) ).
cnf(c_0_68,negated_conjecture,
esk2_0 = esk24_0,
inference(spm,[status(thm)],[c_0_57,c_0_64]) ).
cnf(c_0_69,plain,
~ r2_hidden(X1,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| r2_hidden(esk5_2(X1,X2),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_71,negated_conjecture,
~ m2_lattice4(esk24_0,esk1_0),
inference(rw,[status(thm)],[c_0_17,c_0_68]) ).
cnf(c_0_72,plain,
( m2_lattice4(esk24_0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_66])]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT297+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 17:06:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/2.05 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.87/2.05 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.87/2.05 # Preprocessing time : 0.472 s
% 0.87/2.05
% 0.87/2.05 # Proof found!
% 0.87/2.05 # SZS status Theorem
% 0.87/2.05 # SZS output start CNFRefutation
% See solution above
% 0.87/2.05 # Proof object total steps : 74
% 0.87/2.05 # Proof object clause steps : 47
% 0.87/2.05 # Proof object formula steps : 27
% 0.87/2.05 # Proof object conjectures : 26
% 0.87/2.05 # Proof object clause conjectures : 23
% 0.87/2.05 # Proof object formula conjectures : 3
% 0.87/2.05 # Proof object initial clauses used : 25
% 0.87/2.05 # Proof object initial formulas used : 13
% 0.87/2.05 # Proof object generating inferences : 19
% 0.87/2.05 # Proof object simplifying inferences : 53
% 0.87/2.05 # Training examples: 0 positive, 0 negative
% 0.87/2.05 # Parsed axioms : 13588
% 0.87/2.05 # Removed by relevancy pruning/SinE : 13487
% 0.87/2.05 # Initial clauses : 215
% 0.87/2.05 # Removed in clause preprocessing : 4
% 0.87/2.05 # Initial clauses in saturation : 211
% 0.87/2.05 # Processed clauses : 788
% 0.87/2.05 # ...of these trivial : 35
% 0.87/2.05 # ...subsumed : 263
% 0.87/2.05 # ...remaining for further processing : 490
% 0.87/2.05 # Other redundant clauses eliminated : 8
% 0.87/2.05 # Clauses deleted for lack of memory : 0
% 0.87/2.05 # Backward-subsumed : 19
% 0.87/2.05 # Backward-rewritten : 115
% 0.87/2.05 # Generated clauses : 3957
% 0.87/2.05 # ...of the previous two non-trivial : 3466
% 0.87/2.05 # Contextual simplify-reflections : 108
% 0.87/2.05 # Paramodulations : 3932
% 0.87/2.05 # Factorizations : 6
% 0.87/2.05 # Equation resolutions : 19
% 0.87/2.05 # Current number of processed clauses : 354
% 0.87/2.05 # Positive orientable unit clauses : 59
% 0.87/2.05 # Positive unorientable unit clauses: 3
% 0.87/2.05 # Negative unit clauses : 21
% 0.87/2.05 # Non-unit-clauses : 271
% 0.87/2.05 # Current number of unprocessed clauses: 2283
% 0.87/2.05 # ...number of literals in the above : 9273
% 0.87/2.05 # Current number of archived formulas : 0
% 0.87/2.05 # Current number of archived clauses : 134
% 0.87/2.05 # Clause-clause subsumption calls (NU) : 42318
% 0.87/2.05 # Rec. Clause-clause subsumption calls : 14885
% 0.87/2.05 # Non-unit clause-clause subsumptions : 281
% 0.87/2.05 # Unit Clause-clause subsumption calls : 5577
% 0.87/2.05 # Rewrite failures with RHS unbound : 0
% 0.87/2.05 # BW rewrite match attempts : 78
% 0.87/2.05 # BW rewrite match successes : 38
% 0.87/2.05 # Condensation attempts : 0
% 0.87/2.05 # Condensation successes : 0
% 0.87/2.05 # Termbank termtop insertions : 396289
% 0.87/2.05
% 0.87/2.05 # -------------------------------------------------
% 0.87/2.05 # User time : 0.560 s
% 0.87/2.05 # System time : 0.021 s
% 0.87/2.05 # Total time : 0.581 s
% 0.87/2.05 # Maximum resident set size: 33176 pages
% 0.87/24.04 eprover: CPU time limit exceeded, terminating
% 0.87/24.04 eprover: CPU time limit exceeded, terminating
% 0.87/24.05 eprover: CPU time limit exceeded, terminating
% 0.87/24.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.06 eprover: No such file or directory
% 0.87/24.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.06 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.12 eprover: No such file or directory
%------------------------------------------------------------------------------