%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT313+2 : 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 04:46:55 EDT 2022
% Result : Theorem 1.11s 139.29s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 14 unt; 0 def)
% Number of atoms : 281 ( 20 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 346 ( 133 ~; 140 |; 45 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 100 ( 5 sgn 57 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',dt_m2_filter_2) ).
fof(t43_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t43_filter_2) ).
fof(t28_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t28_filter_2) ).
fof(t42_filter_2,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))) )
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),k17_filter_2(X1))
& k19_filter_2(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t42_filter_2) ).
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(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',redefinition_r1_filter_2) ).
fof(t38_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t38_filter_2) ).
fof(t10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
fof(t7_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ( ! [X4] :
( m1_subset_1(X4,X1)
=> ( r2_hidden(X4,X2)
=> r2_hidden(X4,X3) ) )
=> r1_tarski(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t7_subset_1) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d8_filter_2) ).
fof(reflexivity_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> r1_filter_2(X1,X2,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity_r1_filter_2) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc1_subset_1) ).
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(c_0_14,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[dt_m2_lattice4])])])])])]) ).
fof(c_0_15,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_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)],[dt_m2_filter_2])])])])])])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v14_lattices(X1)
& r2_hidden(k6_lattices(X1),X2) )
=> ( r1_filter_2(u1_struct_0(X1),X2,k17_filter_2(X1))
& X2 = u1_struct_0(X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t43_filter_2]) ).
fof(c_0_17,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m2_filter_2(u1_struct_0(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t28_filter_2])])]) ).
fof(c_0_18,plain,
! [X3,X4] :
( ( r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),k17_filter_2(X3))
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( k19_filter_2(X3,X4) = u1_struct_0(X3)
| ~ v14_lattices(X3)
| ~ r2_hidden(k6_lattices(X3),X4)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(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)],[t42_filter_2])])])])])])]) ).
fof(c_0_19,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_20,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& v14_lattices(esk1_0)
& r2_hidden(k6_lattices(esk1_0),esk2_0)
& ( ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0))
| esk2_0 != u1_struct_0(esk1_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_16])])])])])]) ).
fof(c_0_23,plain,
! [X4,X5,X6] :
( ( ~ r1_filter_2(X4,X5,X6)
| X5 = X6
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) )
& ( X5 != X6
| r1_filter_2(X4,X5,X6)
| v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2])])])]) ).
fof(c_0_24,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| r1_filter_2(u1_struct_0(X3),k19_filter_2(X3,X4),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)],[inference(fof_simplification,[status(thm)],[t38_filter_2])])])])])]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| k19_filter_2(X1,X2) = u1_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2)
| ~ v14_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(pm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( v1_xboole_0(X2)
| X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_filter_2(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X2),X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(pm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_37,plain,
( k19_filter_2(X1,X2) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k6_lattices(X1),X2) ),
inference(csr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_39,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
fof(c_0_41,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m2_lattice4(u1_struct_0(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t10_lattice4])])]) ).
fof(c_0_42,plain,
! [X5,X6,X7] :
( ( m1_subset_1(esk19_3(X5,X6,X7),X5)
| r1_tarski(X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) )
& ( r2_hidden(esk19_3(X5,X6,X7),X6)
| r1_tarski(X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) )
& ( ~ r2_hidden(esk19_3(X5,X6,X7),X7)
| r1_tarski(X6,X7)
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X6,k1_zfmisc_1(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)],[t7_subset_1])])])])])])]) ).
fof(c_0_43,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| k17_filter_2(X2) = u1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_filter_2])])]) ).
cnf(c_0_44,plain,
( k19_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(k19_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_34,c_0_35]),c_0_29]),c_0_36]) ).
cnf(c_0_45,negated_conjecture,
k19_filter_2(esk1_0,esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[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(pm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_31]),c_0_32])]),c_0_33]),c_0_40])]) ).
cnf(c_0_46,plain,
( m2_lattice4(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( r1_tarski(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(esk19_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( r1_tarski(X1,X3)
| r2_hidden(esk19_3(X2,X1,X3),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( esk2_0 != u1_struct_0(esk1_0)
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,k17_filter_2(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_50,plain,
( k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_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(pm,[status(thm)],[c_0_44,c_0_45]),c_0_45]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(pm,[status(thm)],[c_0_20,c_0_46]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( v1_xboole_0(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| r1_filter_2(X4,X5,X5) ),
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)],[reflexivity_r1_filter_2])])])])]) ).
fof(c_0_54,plain,
! [X3] :
( ( m1_subset_1(esk17_1(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
& ( ~ v1_xboole_0(esk17_1(X3))
| v1_xboole_0(X3) ) ),
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)],[rc1_subset_1])])])])])])]) ).
fof(c_0_55,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_56,plain,
( r1_tarski(X1,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(pm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| ~ r1_filter_2(u1_struct_0(esk1_0),esk2_0,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_49,c_0_50]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_58,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_59,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,negated_conjecture,
r1_tarski(esk2_0,esk2_0),
inference(pm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_63,negated_conjecture,
~ r1_filter_2(esk2_0,esk2_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58]),c_0_58]),c_0_58])]) ).
cnf(c_0_64,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(pm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk2_0)),
inference(pm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(pm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT313+2 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 08:49:01 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.50/23.57 eprover: CPU time limit exceeded, terminating
% 0.50/23.57 eprover: CPU time limit exceeded, terminating
% 0.50/23.57 eprover: CPU time limit exceeded, terminating
% 0.50/23.65 eprover: CPU time limit exceeded, terminating
% 0.62/46.59 eprover: CPU time limit exceeded, terminating
% 0.62/46.59 eprover: CPU time limit exceeded, terminating
% 0.62/46.61 eprover: CPU time limit exceeded, terminating
% 0.62/46.66 eprover: CPU time limit exceeded, terminating
% 0.74/69.60 eprover: CPU time limit exceeded, terminating
% 0.74/69.63 eprover: CPU time limit exceeded, terminating
% 0.74/69.63 eprover: CPU time limit exceeded, terminating
% 0.74/69.68 eprover: CPU time limit exceeded, terminating
% 0.87/92.64 eprover: CPU time limit exceeded, terminating
% 0.87/92.65 eprover: CPU time limit exceeded, terminating
% 0.87/92.65 eprover: CPU time limit exceeded, terminating
% 0.87/92.69 eprover: CPU time limit exceeded, terminating
% 1.00/115.66 eprover: CPU time limit exceeded, terminating
% 1.00/115.67 eprover: CPU time limit exceeded, terminating
% 1.00/115.67 eprover: CPU time limit exceeded, terminating
% 1.00/115.71 eprover: CPU time limit exceeded, terminating
% 1.11/138.68 eprover: CPU time limit exceeded, terminating
% 1.11/138.69 eprover: CPU time limit exceeded, terminating
% 1.11/138.70 eprover: CPU time limit exceeded, terminating
% 1.11/138.72 eprover: CPU time limit exceeded, terminating
% 1.11/139.29 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # Preprocessing time : 0.731 s
% 1.11/139.29 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.11/139.29 # Preprocessing time : 0.075 s
% 1.11/139.29 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # Preprocessing time : 0.577 s
% 1.11/139.29 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # Preprocessing time : 0.534 s
% 1.11/139.29 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.11/139.29 # Preprocessing time : 0.066 s
% 1.11/139.29 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.11/139.29
% 1.11/139.29 # Failure: Resource limit exceeded (time)
% 1.11/139.29 # OLD status Res
% 1.11/139.29 # Preprocessing time : 0.590 s
% 1.11/139.29 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.11/139.29 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.11/139.29 # Preprocessing time : 0.130 s
% 1.11/139.29
% 1.11/139.29 # Proof found!
% 1.11/139.29 # SZS status Theorem
% 1.11/139.29 # SZS output start CNFRefutation
% See solution above
% 1.11/139.29 # Proof object total steps : 68
% 1.11/139.29 # Proof object clause steps : 39
% 1.11/139.29 # Proof object formula steps : 29
% 1.11/139.29 # Proof object conjectures : 20
% 1.11/139.29 # Proof object clause conjectures : 17
% 1.11/139.29 # Proof object formula conjectures : 3
% 1.11/139.29 # Proof object initial clauses used : 22
% 1.11/139.29 # Proof object initial formulas used : 14
% 1.11/139.29 # Proof object generating inferences : 15
% 1.11/139.29 # Proof object simplifying inferences : 35
% 1.11/139.29 # Training examples: 0 positive, 0 negative
% 1.11/139.29 # Parsed axioms : 2972
% 1.11/139.29 # Removed by relevancy pruning/SinE : 2809
% 1.11/139.29 # Initial clauses : 354
% 1.11/139.29 # Removed in clause preprocessing : 3
% 1.11/139.29 # Initial clauses in saturation : 351
% 1.11/139.29 # Processed clauses : 2148
% 1.11/139.29 # ...of these trivial : 11
% 1.11/139.29 # ...subsumed : 1027
% 1.11/139.29 # ...remaining for further processing : 1110
% 1.11/139.29 # Other redundant clauses eliminated : 10
% 1.11/139.29 # Clauses deleted for lack of memory : 0
% 1.11/139.29 # Backward-subsumed : 16
% 1.11/139.29 # Backward-rewritten : 250
% 1.11/139.29 # Generated clauses : 12475
% 1.11/139.29 # ...of the previous two non-trivial : 12196
% 1.11/139.29 # Contextual simplify-reflections : 867
% 1.11/139.29 # Paramodulations : 12362
% 1.11/139.29 # Factorizations : 2
% 1.11/139.29 # Equation resolutions : 70
% 1.11/139.29 # Current number of processed clauses : 838
% 1.11/139.29 # Positive orientable unit clauses : 40
% 1.11/139.29 # Positive unorientable unit clauses: 0
% 1.11/139.29 # Negative unit clauses : 21
% 1.11/139.29 # Non-unit-clauses : 777
% 1.11/139.29 # Current number of unprocessed clauses: 7613
% 1.11/139.29 # ...number of literals in the above : 52957
% 1.11/139.29 # Current number of archived formulas : 0
% 1.11/139.29 # Current number of archived clauses : 266
% 1.11/139.29 # Clause-clause subsumption calls (NU) : 224322
% 1.11/139.29 # Rec. Clause-clause subsumption calls : 50763
% 1.11/139.29 # Non-unit clause-clause subsumptions : 1533
% 1.11/139.29 # Unit Clause-clause subsumption calls : 9345
% 1.11/139.29 # Rewrite failures with RHS unbound : 0
% 1.11/139.29 # BW rewrite match attempts : 14
% 1.11/139.29 # BW rewrite match successes : 13
% 1.11/139.29 # Condensation attempts : 0
% 1.11/139.29 # Condensation successes : 0
% 1.11/139.29 # Termbank termtop insertions : 250943
% 1.11/139.29
% 1.11/139.29 # -------------------------------------------------
% 1.11/139.29 # User time : 0.463 s
% 1.11/139.29 # System time : 0.021 s
% 1.11/139.29 # Total time : 0.484 s
% 1.11/139.29 # Maximum resident set size: 21556 pages
% 1.11/161.70 eprover: CPU time limit exceeded, terminating
% 1.11/161.71 eprover: CPU time limit exceeded, terminating
% 1.11/161.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.11/161.72 eprover: No such file or directory
% 1.11/161.72 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.11/161.72 eprover: No such file or directory
% 1.11/161.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.11/161.73 eprover: No such file or directory
% 1.11/161.73 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.11/161.73 eprover: No such file or directory
% 1.11/161.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.11/161.74 eprover: No such file or directory
% 1.11/161.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.11/161.74 eprover: No such file or directory
% 1.11/161.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.11/161.74 eprover: No such file or directory
% 1.11/161.74 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.11/161.74 eprover: No such file or directory
% 1.11/161.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.11/161.75 eprover: No such file or directory
% 1.11/161.75 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.11/161.75 eprover: No such file or directory
%------------------------------------------------------------------------------