TSTP Solution File: LAT313+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT313+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 1.80s 140.97s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 21 unt; 0 def)
% Number of atoms : 304 ( 23 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 355 ( 136 ~; 138 |; 47 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 131 ( 9 sgn 78 !; 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/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.mepo_128.in',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.mepo_128.in',t43_filter_2) ).
fof(t23_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m2_filter_2(X4,X1)
=> ( r2_hidden(X2,X4)
=> ( r2_hidden(k4_lattices(X1,X2,X3),X4)
& r2_hidden(k4_lattices(X1,X3,X2),X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_filter_2) ).
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(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',existence_m1_subset_1) ).
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(t43_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k4_lattices(X1,k6_lattices(X1),X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+205.ax',t43_lattices) ).
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(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(rc2_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+11.ax',rc2_funct_1) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(t49_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( ! [X3] :
( m1_subset_1(X3,X1)
=> r2_hidden(X3,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',t49_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.mepo_128.in',d8_filter_2) ).
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(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.mepo_128.in',reflexivity_r1_filter_2) ).
fof(c_0_17,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_18,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_19,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]) ).
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_17]) ).
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_18]) ).
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_19])])])])])]) ).
fof(c_0_23,plain,
! [X5,X6,X7,X8] :
( ( r2_hidden(k4_lattices(X5,X6,X7),X8)
| ~ r2_hidden(X6,X8)
| ~ m2_filter_2(X8,X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) )
& ( r2_hidden(k4_lattices(X5,X7,X6),X8)
| ~ r2_hidden(X6,X8)
| ~ m2_filter_2(X8,X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X6,u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v10_lattices(X5)
| ~ l3_lattices(X5) ) ),
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)],[t23_filter_2])])])])])])]) ).
fof(c_0_24,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])]) ).
cnf(c_0_25,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(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,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_31,plain,
! [X3] : m1_subset_1(esk18_1(X3),X3),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_32,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_33,plain,
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_filter_2(X4,X1)
| ~ r2_hidden(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_34,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v14_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k4_lattices(X3,k6_lattices(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)],[t43_lattices])])])])])]) ).
cnf(c_0_35,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_24]) ).
cnf(c_0_36,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(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
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_30]) ).
cnf(c_0_38,plain,
m1_subset_1(esk18_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
r2_hidden(k6_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_42,plain,
( k4_lattices(X1,k6_lattices(X1),X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_45,plain,
! [X5,X6,X7] :
( ( m1_subset_1(esk22_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(esk22_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(esk22_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_46,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_47,plain,
( v1_relat_1(esk28_0)
& v1_xboole_0(esk28_0)
& v1_funct_1(esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(c_0_48,plain,
! [X3,X4,X4,X3,X4,X4] :
( ( ~ m1_subset_1(X4,X3)
| r2_hidden(X4,X3)
| v1_xboole_0(X3) )
& ( ~ r2_hidden(X4,X3)
| m1_subset_1(X4,X3)
| v1_xboole_0(X3) )
& ( ~ m1_subset_1(X4,X3)
| v1_xboole_0(X4)
| ~ v1_xboole_0(X3) )
& ( ~ v1_xboole_0(X4)
| m1_subset_1(X4,X3)
| ~ v1_xboole_0(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_subset_1])])])])])]) ).
cnf(c_0_49,plain,
( v1_xboole_0(X1)
| r2_hidden(esk18_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_51,plain,
! [X4,X5] :
( ( m1_subset_1(esk7_2(X4,X5),X4)
| X4 = X5
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
& ( ~ r2_hidden(esk7_2(X4,X5),X5)
| X4 = X5
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
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)],[t49_subset_1])])])])])]) ).
cnf(c_0_52,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,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(spm,[status(thm)],[c_0_41,c_0_42]),c_0_40]),c_0_43]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_44,c_0_40]) ).
cnf(c_0_54,plain,
( r1_tarski(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(esk22_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( r1_tarski(X1,X3)
| r2_hidden(esk22_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_45]) ).
cnf(c_0_56,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
v1_xboole_0(esk28_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
m1_subset_1(esk18_1(esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_49]),c_0_50]) ).
fof(c_0_60,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_61,plain,
( X2 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(esk7_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
fof(c_0_63,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_64,plain,
( r1_tarski(X1,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
( X1 = esk28_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( v1_xboole_0(esk18_1(esk2_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,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_68,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_60]) ).
cnf(c_0_69,negated_conjecture,
( esk2_0 = X1
| ~ m1_subset_1(esk7_2(X1,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( X2 = X1
| m1_subset_1(esk7_2(X2,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_71,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])])])])]) ).
cnf(c_0_72,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
r1_tarski(esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_64,c_0_36]) ).
cnf(c_0_74,negated_conjecture,
( esk18_1(esk2_0) = esk28_0
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
( esk2_0 != u1_struct_0(esk1_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(spm,[status(thm)],[c_0_67,c_0_68]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_76,negated_conjecture,
esk2_0 = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_36])]) ).
cnf(c_0_77,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_71]) ).
cnf(c_0_78,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( r2_hidden(esk28_0,esk2_0)
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_74]),c_0_50]) ).
cnf(c_0_80,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_76])]) ).
cnf(c_0_81,negated_conjecture,
( r1_filter_2(u1_struct_0(esk1_0),X1,X1)
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_77,c_0_36]) ).
cnf(c_0_82,negated_conjecture,
m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_76]),c_0_76]) ).
cnf(c_0_83,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_76]),c_0_39]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT313+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 23:26:58 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.01/24.06 eprover: CPU time limit exceeded, terminating
% 1.01/24.06 eprover: CPU time limit exceeded, terminating
% 1.01/24.06 eprover: CPU time limit exceeded, terminating
% 1.01/24.07 eprover: CPU time limit exceeded, terminating
% 1.17/47.08 eprover: CPU time limit exceeded, terminating
% 1.17/47.08 eprover: CPU time limit exceeded, terminating
% 1.17/47.09 eprover: CPU time limit exceeded, terminating
% 1.17/47.10 eprover: CPU time limit exceeded, terminating
% 1.34/70.09 eprover: CPU time limit exceeded, terminating
% 1.34/70.11 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.34/70.11
% 1.34/70.11 eprover: CPU time limit exceeded, terminating
% 1.48/93.13 eprover: CPU time limit exceeded, terminating
% 1.48/93.13 eprover: CPU time limit exceeded, terminating
% 1.48/93.13 eprover: CPU time limit exceeded, terminating
% 1.48/93.14 eprover: CPU time limit exceeded, terminating
% 1.63/116.15 eprover: CPU time limit exceeded, terminating
% 1.63/116.15 eprover: CPU time limit exceeded, terminating
% 1.63/116.16 eprover: CPU time limit exceeded, terminating
% 1.63/116.17 eprover: CPU time limit exceeded, terminating
% 1.78/139.17 eprover: CPU time limit exceeded, terminating
% 1.78/139.17 eprover: CPU time limit exceeded, terminating
% 1.78/139.19 eprover: CPU time limit exceeded, terminating
% 1.78/139.21 eprover: CPU time limit exceeded, terminating
% 1.80/140.97 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # Preprocessing time : 2.260 s
% 1.80/140.97 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.80/140.97 # Preprocessing time : 0.465 s
% 1.80/140.97 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # Preprocessing time : 2.245 s
% 1.80/140.97 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # Preprocessing time : 2.290 s
% 1.80/140.97 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # Preprocessing time : 2.412 s
% 1.80/140.97 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.80/140.97
% 1.80/140.97 # Failure: Resource limit exceeded (time)
% 1.80/140.97 # OLD status Res
% 1.80/140.97 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.80/140.97 # Preprocessing time : 0.343 s
% 1.80/140.97 # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.80/140.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.80/140.97 # Preprocessing time : 0.348 s
% 1.80/140.97
% 1.80/140.97 # Proof found!
% 1.80/140.97 # SZS status Theorem
% 1.80/140.97 # SZS output start CNFRefutation
% See solution above
% 1.80/140.97 # Proof object total steps : 85
% 1.80/140.97 # Proof object clause steps : 50
% 1.80/140.97 # Proof object formula steps : 35
% 1.80/140.97 # Proof object conjectures : 31
% 1.80/140.97 # Proof object clause conjectures : 28
% 1.80/140.97 # Proof object formula conjectures : 3
% 1.80/140.97 # Proof object initial clauses used : 25
% 1.80/140.97 # Proof object initial formulas used : 17
% 1.80/140.97 # Proof object generating inferences : 21
% 1.80/140.97 # Proof object simplifying inferences : 34
% 1.80/140.97 # Training examples: 0 positive, 0 negative
% 1.80/140.97 # Parsed axioms : 13631
% 1.80/140.97 # Removed by relevancy pruning/SinE : 13422
% 1.80/140.97 # Initial clauses : 564
% 1.80/140.97 # Removed in clause preprocessing : 17
% 1.80/140.97 # Initial clauses in saturation : 547
% 1.80/140.97 # Processed clauses : 6572
% 1.80/140.97 # ...of these trivial : 32
% 1.80/140.97 # ...subsumed : 4284
% 1.80/140.97 # ...remaining for further processing : 2256
% 1.80/140.97 # Other redundant clauses eliminated : 10
% 1.80/140.97 # Clauses deleted for lack of memory : 0
% 1.80/140.97 # Backward-subsumed : 123
% 1.80/140.97 # Backward-rewritten : 728
% 1.80/140.97 # Generated clauses : 30636
% 1.80/140.97 # ...of the previous two non-trivial : 28980
% 1.80/140.97 # Contextual simplify-reflections : 2480
% 1.80/140.97 # Paramodulations : 30579
% 1.80/140.97 # Factorizations : 6
% 1.80/140.97 # Equation resolutions : 55
% 1.80/140.97 # Current number of processed clauses : 1399
% 1.80/140.97 # Positive orientable unit clauses : 166
% 1.80/140.97 # Positive unorientable unit clauses: 0
% 1.80/140.97 # Negative unit clauses : 65
% 1.80/140.97 # Non-unit-clauses : 1168
% 1.80/140.97 # Current number of unprocessed clauses: 10719
% 1.80/140.97 # ...number of literals in the above : 56529
% 1.80/140.97 # Current number of archived formulas : 0
% 1.80/140.97 # Current number of archived clauses : 851
% 1.80/140.97 # Clause-clause subsumption calls (NU) : 1598870
% 1.80/140.97 # Rec. Clause-clause subsumption calls : 977203
% 1.80/140.97 # Non-unit clause-clause subsumptions : 6305
% 1.80/140.97 # Unit Clause-clause subsumption calls : 56877
% 1.80/140.97 # Rewrite failures with RHS unbound : 0
% 1.80/140.97 # BW rewrite match attempts : 616
% 1.80/140.97 # BW rewrite match successes : 15
% 1.80/140.97 # Condensation attempts : 0
% 1.80/140.97 # Condensation successes : 0
% 1.80/140.97 # Termbank termtop insertions : 834749
% 1.80/140.97
% 1.80/140.97 # -------------------------------------------------
% 1.80/140.97 # User time : 1.175 s
% 1.80/140.97 # System time : 0.036 s
% 1.80/140.97 # Total time : 1.211 s
% 1.80/140.97 # Maximum resident set size: 54788 pages
% 1.80/162.19 eprover: CPU time limit exceeded, terminating
% 1.80/162.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.80/162.21 eprover: No such file or directory
% 1.80/162.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.80/162.21 eprover: No such file or directory
% 1.80/162.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.80/162.22 eprover: No such file or directory
% 1.80/162.22 eprover: CPU time limit exceeded, terminating
% 1.80/162.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.80/162.22 eprover: No such file or directory
% 1.80/162.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.80/162.23 eprover: No such file or directory
% 1.80/162.24 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.80/162.24 eprover: No such file or directory
% 1.80/162.25 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.80/162.25 eprover: No such file or directory
% 1.80/162.25 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.80/162.25 eprover: No such file or directory
% 1.80/162.26 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.80/162.26 eprover: No such file or directory
% 1.80/162.26 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.80/162.26 eprover: No such file or directory
%------------------------------------------------------------------------------