TSTP Solution File: LAT302+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 04:46:42 EDT 2022
% Result : Theorem 0.28s 1.45s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 8 unt; 0 def)
% Number of atoms : 315 ( 7 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 392 ( 147 ~; 169 |; 54 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 67 ( 2 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_filter_0) ).
fof(t26_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_filter_2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t63_lattice2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_lattice2) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t21_filter_2) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k6_domain_1) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m1_filter_2) ).
fof(t78_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t78_lattice2) ).
fof(dt_k6_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k6_lattices) ).
fof(dt_k5_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_lattices) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l3_lattices) ).
fof(c_0_15,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_0(k6_domain_1(u1_struct_0(X2),k6_lattices(X2)),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t13_filter_0])])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
inference(assume_negation,[status(cth)],[t26_filter_2]) ).
cnf(c_0_17,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X2] :
( ( ~ v13_lattices(X2)
| v14_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v14_lattices(k1_lattice2(X2))
| v13_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t63_lattice2])])])]) ).
fof(c_0_19,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc6_lattice2])])])]) ).
fof(c_0_20,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_21,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_lattice2])])])]) ).
fof(c_0_22,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& v13_lattices(esk1_0)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(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_16])])])]) ).
fof(c_0_23,plain,
! [X3,X4,X4] :
( ( ~ m2_filter_2(X4,X3)
| m1_filter_2(X4,k1_lattice2(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_2(X4,k1_lattice2(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)],[t21_filter_2])])])])])])]) ).
fof(c_0_24,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| k6_domain_1(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1])])]) ).
fof(c_0_25,plain,
! [X3,X4,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2])])])])])])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
inference(cn,[status(thm)],[c_0_17]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k6_lattices(k1_lattice2(X1))),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
fof(c_0_39,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| k5_lattices(X2) = k6_lattices(k1_lattice2(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t78_lattice2])])]) ).
cnf(c_0_40,negated_conjecture,
~ m1_filter_2(k6_domain_1(u1_struct_0(esk1_0),k5_lattices(esk1_0)),k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_41,plain,
( k6_domain_1(X1,X2) = k6_domain_1(X3,X2)
| v1_xboole_0(X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_36]) ).
cnf(c_0_42,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k6_lattices(k1_lattice2(X1))),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_28]),c_0_29]),c_0_30]) ).
cnf(c_0_43,plain,
( k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l2_lattices(X2)
| m1_subset_1(k6_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k6_lattices])])]) ).
cnf(c_0_45,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(X1)
| ~ m1_filter_2(k6_domain_1(X1,k5_lattices(esk1_0)),k1_lattice2(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_48,plain,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_subset_1(k5_lattices(esk1_0),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(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_50,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ l2_lattices(k1_lattice2(X1))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_43]),c_0_30]) ).
fof(c_0_51,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_lattices(X2)
| m1_subset_1(k5_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k5_lattices])])]) ).
fof(c_0_52,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_53,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_54,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),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(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_55,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_35]) ).
cnf(c_0_60,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_33])]) ).
cnf(c_0_66,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_66]),c_0_33])]),c_0_35]) ).
cnf(c_0_68,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_29]),c_0_33])]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_33])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 29 03:39:37 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.28/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.45 # Preprocessing time : 0.021 s
% 0.28/1.45
% 0.28/1.45 # Proof found!
% 0.28/1.45 # SZS status Theorem
% 0.28/1.45 # SZS output start CNFRefutation
% See solution above
% 0.28/1.45 # Proof object total steps : 70
% 0.28/1.45 # Proof object clause steps : 39
% 0.28/1.45 # Proof object formula steps : 31
% 0.28/1.45 # Proof object conjectures : 19
% 0.28/1.45 # Proof object clause conjectures : 16
% 0.28/1.45 # Proof object formula conjectures : 3
% 0.28/1.45 # Proof object initial clauses used : 20
% 0.28/1.45 # Proof object initial formulas used : 15
% 0.28/1.45 # Proof object generating inferences : 18
% 0.28/1.45 # Proof object simplifying inferences : 33
% 0.28/1.45 # Training examples: 0 positive, 0 negative
% 0.28/1.45 # Parsed axioms : 92
% 0.28/1.45 # Removed by relevancy pruning/SinE : 31
% 0.28/1.45 # Initial clauses : 118
% 0.28/1.45 # Removed in clause preprocessing : 2
% 0.28/1.45 # Initial clauses in saturation : 116
% 0.28/1.45 # Processed clauses : 230
% 0.28/1.45 # ...of these trivial : 0
% 0.28/1.45 # ...subsumed : 38
% 0.28/1.45 # ...remaining for further processing : 192
% 0.28/1.45 # Other redundant clauses eliminated : 3
% 0.28/1.45 # Clauses deleted for lack of memory : 0
% 0.28/1.45 # Backward-subsumed : 4
% 0.28/1.45 # Backward-rewritten : 13
% 0.28/1.45 # Generated clauses : 229
% 0.28/1.45 # ...of the previous two non-trivial : 210
% 0.28/1.45 # Contextual simplify-reflections : 64
% 0.28/1.45 # Paramodulations : 220
% 0.28/1.45 # Factorizations : 0
% 0.28/1.45 # Equation resolutions : 9
% 0.28/1.45 # Current number of processed clauses : 175
% 0.28/1.45 # Positive orientable unit clauses : 38
% 0.28/1.45 # Positive unorientable unit clauses: 0
% 0.28/1.45 # Negative unit clauses : 10
% 0.28/1.45 # Non-unit-clauses : 127
% 0.28/1.45 # Current number of unprocessed clauses: 64
% 0.28/1.45 # ...number of literals in the above : 542
% 0.28/1.45 # Current number of archived formulas : 0
% 0.28/1.45 # Current number of archived clauses : 17
% 0.28/1.45 # Clause-clause subsumption calls (NU) : 10365
% 0.28/1.45 # Rec. Clause-clause subsumption calls : 1609
% 0.28/1.45 # Non-unit clause-clause subsumptions : 105
% 0.28/1.45 # Unit Clause-clause subsumption calls : 229
% 0.28/1.45 # Rewrite failures with RHS unbound : 0
% 0.28/1.45 # BW rewrite match attempts : 3
% 0.28/1.45 # BW rewrite match successes : 3
% 0.28/1.45 # Condensation attempts : 0
% 0.28/1.45 # Condensation successes : 0
% 0.28/1.45 # Termbank termtop insertions : 13353
% 0.28/1.45
% 0.28/1.45 # -------------------------------------------------
% 0.28/1.45 # User time : 0.040 s
% 0.28/1.45 # System time : 0.001 s
% 0.28/1.45 # Total time : 0.041 s
% 0.28/1.45 # Maximum resident set size: 3808 pages
% 0.28/23.45 eprover: CPU time limit exceeded, terminating
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------