TSTP Solution File: LAT302+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:27 EDT 2023
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 82 ( 7 unt; 0 def)
% Number of atoms : 381 ( 8 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 470 ( 171 ~; 178 |; 84 &)
% ( 6 <=>; 31 =>; 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 : 77 ( 0 sgn; 50 !; 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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',t13_filter_0) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',redefinition_m1_filter_2) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',t26_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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',redefinition_k6_domain_1) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',t21_filter_2) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',fc6_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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',fc1_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',dt_k1_lattice2) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',t78_lattice2) ).
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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',t63_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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',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/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',dt_l1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p',dt_l3_lattices) ).
fof(c_0_15,plain,
! [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) ) ),
inference(fof_simplification,[status(thm)],[t13_filter_0]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_17,plain,
! [X18] :
( v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ l3_lattices(X18)
| v3_struct_0(X18)
| ~ v10_lattices(X18)
| ~ v14_lattices(X18)
| ~ l3_lattices(X18)
| m1_filter_0(k6_domain_1(u1_struct_0(X18),k6_lattices(X18)),X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_18,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_filter_2])]) ).
fof(c_0_19,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t21_filter_2]) ).
fof(c_0_21,plain,
! [X37,X38] :
( ( ~ m1_filter_2(X38,X37)
| m1_filter_0(X38,X37)
| v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37) )
& ( ~ m1_filter_0(X38,X37)
| m1_filter_2(X38,X37)
| v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [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)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_25,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)],[c_0_18])])]) ).
fof(c_0_26,plain,
! [X16,X17] :
( v1_xboole_0(X16)
| ~ m1_subset_1(X17,X16)
| k6_domain_1(X16,X17) = k1_tarski(X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])]) ).
fof(c_0_27,plain,
! [X12,X13] :
( ( ~ m2_filter_2(X13,X12)
| m1_filter_2(X13,k1_lattice2(X12))
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) )
& ( ~ m1_filter_2(X13,k1_lattice2(X12))
| m2_filter_2(X13,X12)
| v3_struct_0(X12)
| ~ v10_lattices(X12)
| ~ l3_lattices(X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_28,plain,
( m1_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,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_22]) ).
fof(c_0_30,plain,
! [X42] :
( ( ~ v3_struct_0(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v3_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v4_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v5_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v6_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v7_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v8_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v9_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) )
& ( v10_lattices(k1_lattice2(X42))
| v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_31,plain,
! [X40] :
( ( v3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) )
& ( l3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_32,plain,
! [X41] :
( ( ~ v3_struct_0(k1_lattice2(X41))
| v3_struct_0(X41)
| ~ l3_lattices(X41) )
& ( v3_lattices(k1_lattice2(X41))
| v3_struct_0(X41)
| ~ l3_lattices(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_33,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t78_lattice2]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
cnf(c_0_35,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_25]) ).
cnf(c_0_36,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,k1_lattice2(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X20] :
( v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ v13_lattices(X20)
| ~ l3_lattices(X20)
| k5_lattices(X20) = k6_lattices(k1_lattice2(X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_43,plain,
! [X21] :
( ( ~ v13_lattices(X21)
| v14_lattices(k1_lattice2(X21))
| v3_struct_0(X21)
| ~ v10_lattices(X21)
| ~ l3_lattices(X21) )
& ( ~ v14_lattices(k1_lattice2(X21))
| v13_lattices(X21)
| v3_struct_0(X21)
| ~ v10_lattices(X21)
| ~ l3_lattices(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_lattices]) ).
cnf(c_0_45,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ m2_filter_2(k1_tarski(k5_lattices(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k6_lattices(k1_lattice2(X1))),X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(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_39]),c_0_40]),c_0_41]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( v13_lattices(X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_49,plain,
! [X58] :
( v3_struct_0(X58)
| ~ l2_lattices(X58)
| m1_subset_1(k6_lattices(X58),u1_struct_0(X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
cnf(c_0_50,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v1_xboole_0(X1)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k5_lattices(esk1_0),X1)
| ~ m2_filter_2(k6_domain_1(X1,k5_lattices(esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_51,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_52,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_56,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattices]) ).
fof(c_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_58,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ v14_lattices(k1_lattice2(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(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_59,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_55,c_0_47]),c_0_41]) ).
cnf(c_0_60,negated_conjecture,
v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_61,plain,
! [X19] :
( v3_struct_0(X19)
| ~ l1_lattices(X19)
| m1_subset_1(k5_lattices(X19),u1_struct_0(X19)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
fof(c_0_62,plain,
! [X89] :
( v3_struct_0(X89)
| ~ l1_struct_0(X89)
| ~ v1_xboole_0(u1_struct_0(X89)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
fof(c_0_63,plain,
! [X59] :
( ~ l1_lattices(X59)
| l1_struct_0(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_64,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))
| ~ v14_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_58,c_0_59]),c_0_60]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_68,plain,
! [X60] :
( ( l1_lattices(X60)
| ~ l3_lattices(X60) )
& ( l2_lattices(X60)
| ~ l3_lattices(X60) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_69,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)
| ~ v14_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_54]) ).
cnf(c_0_70,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_60]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_74,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,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_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_72]),c_0_52])]) ).
cnf(c_0_79,negated_conjecture,
( v3_struct_0(k1_lattice2(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_75,c_0_78]),c_0_52])]),c_0_54]) ).
cnf(c_0_80,negated_conjecture,
~ l3_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_79]),c_0_52])]),c_0_54]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_40]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LAT302+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n009.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 : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 10:03:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.IbaB9FkjlQ/E---3.1_20266.p
% 0.18/0.48 # Version: 3.1pre001
% 0.18/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 # Starting sh5l with 300s (1) cores
% 0.18/0.48 # new_bool_3 with pid 20345 completed with status 0
% 0.18/0.48 # Result found by new_bool_3
% 0.18/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 # Search class: FGUSM-FFMM31-SFFFFFNN
% 0.18/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.48 # SAT001_MinMin_p005000_rr_RG with pid 20348 completed with status 0
% 0.18/0.48 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 # Search class: FGUSM-FFMM31-SFFFFFNN
% 0.18/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.48 # Preprocessing time : 0.002 s
% 0.18/0.48 # Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 # Proof found!
% 0.18/0.48 # SZS status Theorem
% 0.18/0.48 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 92
% 0.18/0.48 # Removed by relevancy pruning/SinE : 32
% 0.18/0.48 # Initial clauses : 117
% 0.18/0.48 # Removed in clause preprocessing : 2
% 0.18/0.48 # Initial clauses in saturation : 115
% 0.18/0.48 # Processed clauses : 396
% 0.18/0.48 # ...of these trivial : 0
% 0.18/0.48 # ...subsumed : 84
% 0.18/0.48 # ...remaining for further processing : 312
% 0.18/0.48 # Other redundant clauses eliminated : 0
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 5
% 0.18/0.48 # Backward-rewritten : 3
% 0.18/0.48 # Generated clauses : 444
% 0.18/0.48 # ...of the previous two non-redundant : 369
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 45
% 0.18/0.48 # Paramodulations : 444
% 0.18/0.48 # Factorizations : 0
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 0
% 0.18/0.48 # Total rewrite steps : 69
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 193
% 0.18/0.48 # Positive orientable unit clauses : 34
% 0.18/0.48 # Positive unorientable unit clauses: 0
% 0.18/0.48 # Negative unit clauses : 10
% 0.18/0.48 # Non-unit-clauses : 149
% 0.18/0.48 # Current number of unprocessed clauses: 197
% 0.18/0.48 # ...number of literals in the above : 1451
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 119
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 13465
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 2259
% 0.18/0.48 # Non-unit clause-clause subsumptions : 125
% 0.18/0.48 # Unit Clause-clause subsumption calls : 115
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 2
% 0.18/0.48 # BW rewrite match successes : 2
% 0.18/0.48 # Condensation attempts : 0
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 18102
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.030 s
% 0.18/0.48 # System time : 0.003 s
% 0.18/0.48 # Total time : 0.033 s
% 0.18/0.48 # Maximum resident set size: 2084 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.032 s
% 0.18/0.48 # System time : 0.006 s
% 0.18/0.48 # Total time : 0.038 s
% 0.18/0.48 # Maximum resident set size: 1764 pages
% 0.18/0.48 % E---3.1 exiting
% 0.18/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------