TSTP Solution File: LAT304+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT304+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 04:46:45 EDT 2022
% Result : Theorem 1.60s 132.77s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 8 unt; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 472 ( 184 ~; 229 |; 39 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 94 ( 3 sgn 46 !; 2 ?)
% 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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(rc1_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',rc1_lattice4) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',existence_m1_subset_1) ).
fof(d3_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( m2_filter_2(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(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',d3_filter_2) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(t28_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t28_filter_2) ).
fof(c_0_11,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_12,plain,
! [X3] :
( ( m2_lattice4(esk9_1(X3),X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_xboole_0(esk9_1(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(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_lattice4])])])])])])]) ).
fof(c_0_13,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(esk10_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(esk11_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(esk10_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(esk11_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,esk10_2(X5,X6),esk11_2(X5,X6)),X6)
| ~ r2_hidden(k3_lattices(X5,esk10_2(X5,X6),esk11_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])])])])])])])]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| m2_lattice4(esk9_1(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,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])]) ).
fof(c_0_18,plain,
! [X3] : m1_subset_1(esk35_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_19,plain,
! [X5,X6,X7,X8] :
( ( ~ r2_hidden(X7,X6)
| ~ r2_hidden(X8,X6)
| r2_hidden(k3_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(X7,X6)
| ~ r2_hidden(k3_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(X8,X6)
| ~ r2_hidden(k3_lattices(X5,X7,X8),X6)
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk3_2(X5,X6),u1_struct_0(X5))
| m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( m1_subset_1(esk4_2(X5,X6),u1_struct_0(X5))
| m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( ~ r2_hidden(esk3_2(X5,X6),X6)
| ~ r2_hidden(esk4_2(X5,X6),X6)
| ~ r2_hidden(k3_lattices(X5,esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk3_2(X5,X6),X6)
| r2_hidden(k3_lattices(X5,esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,X5)
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(esk4_2(X5,X6),X6)
| r2_hidden(k3_lattices(X5,esk3_2(X5,X6),esk4_2(X5,X6)),X6)
| m2_filter_2(X6,X5)
| v1_xboole_0(X6)
| ~ m2_lattice4(X6,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)],[d3_filter_2])])])])])])])]) ).
fof(c_0_20,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_21,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X3,X4),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ r2_hidden(X4,X2)
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,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_23,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_24,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,plain,
( v3_struct_0(X1)
| m1_subset_1(esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_26,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
m1_subset_1(esk35_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ r2_hidden(esk4_2(X1,X2),X2)
| ~ r2_hidden(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_31,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_22]) ).
cnf(c_0_32,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,esk9_1(X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
( v1_xboole_0(X1)
| r2_hidden(esk35_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ r2_hidden(k3_lattices(X2,esk3_2(X2,X1),esk4_2(X2,X1)),X1)
| ~ r2_hidden(esk3_2(X2,X1),X1)
| ~ r2_hidden(esk4_2(X2,X1),X1) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r2_hidden(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_32]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
fof(c_0_40,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(assume_negation,[status(cth)],[t28_filter_2]) ).
cnf(c_0_41,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(esk3_2(X1,u1_struct_0(X1)),u1_struct_0(X1))
| ~ r2_hidden(esk4_2(X1,u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_31]) ).
cnf(c_0_42,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| r2_hidden(esk4_2(X2,X1),u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_38]),c_0_39]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk3_2(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_44,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_40])])])]) ).
cnf(c_0_45,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(esk3_2(X1,u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_31]),c_0_29]) ).
cnf(c_0_46,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| v1_xboole_0(X1)
| r2_hidden(esk3_2(X2,X1),u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_43]),c_0_39]) ).
cnf(c_0_47,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_31]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,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_47,c_0_48]),c_0_49]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT304+3 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n029.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 : Tue Jun 28 22:33:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.02/24.09 eprover: CPU time limit exceeded, terminating
% 1.02/24.09 eprover: CPU time limit exceeded, terminating
% 1.02/24.09 eprover: CPU time limit exceeded, terminating
% 1.02/24.10 eprover: CPU time limit exceeded, terminating
% 1.14/47.11 eprover: CPU time limit exceeded, terminating
% 1.14/47.12 eprover: CPU time limit exceeded, terminating
% 1.14/47.13 eprover: CPU time limit exceeded, terminating
% 1.14/47.49 eprover: CPU time limit exceeded, terminating
% 1.26/70.13 eprover: CPU time limit exceeded, terminating
% 1.26/70.17 eprover: CPU time limit exceeded, terminating
% 1.26/70.18 eprover: CPU time limit exceeded, terminating
% 1.26/70.50 eprover: CPU time limit exceeded, terminating
% 1.39/93.17 eprover: CPU time limit exceeded, terminating
% 1.39/93.19 eprover: CPU time limit exceeded, terminating
% 1.39/93.20 eprover: CPU time limit exceeded, terminating
% 1.39/93.52 eprover: CPU time limit exceeded, terminating
% 1.50/116.21 eprover: CPU time limit exceeded, terminating
% 1.50/116.21 eprover: CPU time limit exceeded, terminating
% 1.50/116.22 eprover: CPU time limit exceeded, terminating
% 1.50/116.53 eprover: CPU time limit exceeded, terminating
% 1.60/132.77 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.60/132.77
% 1.60/132.77 # Failure: Resource limit exceeded (time)
% 1.60/132.77 # OLD status Res
% 1.60/132.77 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.60/132.77 # Preprocessing time : 0.470 s
% 1.60/132.77 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.60/132.77 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.60/132.77 # Preprocessing time : 0.369 s
% 1.60/132.77
% 1.60/132.77 # Failure: Out of unprocessed clauses!
% 1.60/132.77 # OLD status GaveUp
% 1.60/132.77 # Parsed axioms : 13611
% 1.60/132.77 # Removed by relevancy pruning/SinE : 13598
% 1.60/132.77 # Initial clauses : 58
% 1.60/132.77 # Removed in clause preprocessing : 0
% 1.60/132.77 # Initial clauses in saturation : 58
% 1.60/132.77 # Processed clauses : 77
% 1.60/132.77 # ...of these trivial : 0
% 1.60/132.77 # ...subsumed : 3
% 1.60/132.77 # ...remaining for further processing : 74
% 1.60/132.77 # Other redundant clauses eliminated : 0
% 1.60/132.77 # Clauses deleted for lack of memory : 0
% 1.60/132.77 # Backward-subsumed : 1
% 1.60/132.77 # Backward-rewritten : 0
% 1.60/132.77 # Generated clauses : 68
% 1.60/132.77 # ...of the previous two non-trivial : 23
% 1.60/132.77 # Contextual simplify-reflections : 42
% 1.60/132.77 # Paramodulations : 66
% 1.60/132.77 # Factorizations : 0
% 1.60/132.77 # Equation resolutions : 2
% 1.60/132.77 # Current number of processed clauses : 73
% 1.60/132.77 # Positive orientable unit clauses : 3
% 1.60/132.77 # Positive unorientable unit clauses: 0
% 1.60/132.77 # Negative unit clauses : 2
% 1.60/132.77 # Non-unit-clauses : 68
% 1.60/132.77 # Current number of unprocessed clauses: 0
% 1.60/132.77 # ...number of literals in the above : 0
% 1.60/132.77 # Current number of archived formulas : 0
% 1.60/132.77 # Current number of archived clauses : 1
% 1.60/132.77 # Clause-clause subsumption calls (NU) : 1692
% 1.60/132.77 # Rec. Clause-clause subsumption calls : 130
% 1.60/132.77 # Non-unit clause-clause subsumptions : 46
% 1.60/132.77 # Unit Clause-clause subsumption calls : 3
% 1.60/132.77 # Rewrite failures with RHS unbound : 0
% 1.60/132.77 # BW rewrite match attempts : 0
% 1.60/132.77 # BW rewrite match successes : 0
% 1.60/132.77 # Condensation attempts : 0
% 1.60/132.77 # Condensation successes : 0
% 1.60/132.77 # Termbank termtop insertions : 339249
% 1.60/132.77
% 1.60/132.77 # -------------------------------------------------
% 1.60/132.77 # User time : 0.352 s
% 1.60/132.77 # System time : 0.021 s
% 1.60/132.77 # Total time : 0.373 s
% 1.60/132.77 # Maximum resident set size: 30520 pages
% 1.60/132.77 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 1.60/132.77
% 1.60/132.77 # Failure: Resource limit exceeded (time)
% 1.60/132.77 # OLD status Res
% 1.60/132.77 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 1.60/132.77 # Preprocessing time : 0.384 s
% 1.60/132.77 # Running protocol protocol_eprover_33aa8a325940064c53b389b41203bb48a5cb5006 for 23 seconds:
% 1.60/132.77
% 1.60/132.77 # Failure: Resource limit exceeded (time)
% 1.60/132.77 # OLD status Res
% 1.60/132.77 # Preprocessing time : 2.366 s
% 1.60/132.77 # Running protocol protocol_eprover_260890dcdd2d907655d788d68835201aeffdef4a for 23 seconds:
% 1.60/132.77
% 1.60/132.77 # Failure: Resource limit exceeded (time)
% 1.60/132.77 # OLD status Res
% 1.60/132.77 # SinE strategy is GSinE(CountFormulas,,1.5,,03,100,1.0)
% 1.60/132.77 # Preprocessing time : 0.371 s
% 1.60/132.77 # Running protocol protocol_eprover_9a428cb4e1feff5dec19b8494e78e7f0e8ede446 for 23 seconds:
% 1.60/132.77
% 1.60/132.77 # Failure: Resource limit exceeded (time)
% 1.60/132.77 # OLD status Res
% 1.60/132.77 # Preprocessing time : 2.435 s
% 1.60/132.77 # Running protocol protocol_eprover_e6b386026570787d4ac06e541c4634c5e3f09cc5 for 23 seconds:
% 1.60/132.77 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,100,1.0)
% 1.60/132.77 # Preprocessing time : 0.407 s
% 1.60/132.77
% 1.60/132.77 # Proof found!
% 1.60/132.77 # SZS status Theorem
% 1.60/132.77 # SZS output start CNFRefutation
% See solution above
% 1.60/132.78 # Proof object total steps : 53
% 1.60/132.78 # Proof object clause steps : 30
% 1.60/132.78 # Proof object formula steps : 23
% 1.60/132.78 # Proof object conjectures : 8
% 1.60/132.78 # Proof object clause conjectures : 5
% 1.60/132.78 # Proof object formula conjectures : 3
% 1.60/132.78 # Proof object initial clauses used : 17
% 1.60/132.78 # Proof object initial formulas used : 11
% 1.60/132.78 # Proof object generating inferences : 11
% 1.60/132.78 # Proof object simplifying inferences : 16
% 1.60/132.78 # Training examples: 0 positive, 0 negative
% 1.60/132.78 # Parsed axioms : 13611
% 1.60/132.78 # Removed by relevancy pruning/SinE : 13520
% 1.60/132.78 # Initial clauses : 233
% 1.60/132.78 # Removed in clause preprocessing : 3
% 1.60/132.78 # Initial clauses in saturation : 230
% 1.60/132.78 # Processed clauses : 31513
% 1.60/132.78 # ...of these trivial : 17
% 1.60/132.78 # ...subsumed : 26787
% 1.60/132.78 # ...remaining for further processing : 4709
% 1.60/132.78 # Other redundant clauses eliminated : 1
% 1.60/132.78 # Clauses deleted for lack of memory : 64403
% 1.60/132.78 # Backward-subsumed : 619
% 1.60/132.78 # Backward-rewritten : 93
% 1.60/132.78 # Generated clauses : 216971
% 1.60/132.78 # ...of the previous two non-trivial : 206700
% 1.60/132.78 # Contextual simplify-reflections : 36792
% 1.60/132.78 # Paramodulations : 216892
% 1.60/132.78 # Factorizations : 4
% 1.60/132.78 # Equation resolutions : 75
% 1.60/132.78 # Current number of processed clauses : 3997
% 1.60/132.78 # Positive orientable unit clauses : 20
% 1.60/132.78 # Positive unorientable unit clauses: 0
% 1.60/132.78 # Negative unit clauses : 11
% 1.60/132.78 # Non-unit-clauses : 3966
% 1.60/132.78 # Current number of unprocessed clauses: 82139
% 1.60/132.78 # ...number of literals in the above : 671143
% 1.60/132.78 # Current number of archived formulas : 0
% 1.60/132.78 # Current number of archived clauses : 712
% 1.60/132.78 # Clause-clause subsumption calls (NU) : 30184727
% 1.60/132.78 # Rec. Clause-clause subsumption calls : 2366403
% 1.60/132.78 # Non-unit clause-clause subsumptions : 62046
% 1.60/132.78 # Unit Clause-clause subsumption calls : 7651
% 1.60/132.78 # Rewrite failures with RHS unbound : 0
% 1.60/132.78 # BW rewrite match attempts : 12
% 1.60/132.78 # BW rewrite match successes : 11
% 1.60/132.78 # Condensation attempts : 0
% 1.60/132.78 # Condensation successes : 0
% 1.60/132.78 # Termbank termtop insertions : 6247037
% 1.60/132.78
% 1.60/132.78 # -------------------------------------------------
% 1.60/132.78 # User time : 15.906 s
% 1.60/132.78 # System time : 0.137 s
% 1.60/132.78 # Total time : 16.043 s
% 1.60/132.78 # Maximum resident set size: 153972 pages
% 1.60/139.22 eprover: CPU time limit exceeded, terminating
% 1.60/139.25 eprover: CPU time limit exceeded, terminating
% 1.60/139.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.25 eprover: No such file or directory
% 1.60/139.25 eprover: CPU time limit exceeded, terminating
% 1.60/139.25 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.25 eprover: No such file or directory
% 1.60/139.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.26 eprover: No such file or directory
% 1.60/139.26 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.26 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.27 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.27 eprover: No such file or directory
% 1.60/139.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.28 eprover: No such file or directory
% 1.60/139.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.28 eprover: No such file or directory
% 1.60/139.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.28 eprover: No such file or directory
% 1.60/139.28 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.28 eprover: No such file or directory
% 1.60/139.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.29 eprover: No such file or directory
% 1.60/139.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.29 eprover: No such file or directory
% 1.60/139.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.29 eprover: No such file or directory
% 1.60/139.29 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.60/139.29 eprover: No such file or directory
%------------------------------------------------------------------------------