%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:48 PM UTC 2026
% Result : Theorem 0.17s 0.79s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 70 ( 8 unt; 0 def)
% Number of atoms : 336 ( 8 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 409 ( 143 ~; 141 |; 81 &)
% ( 6 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(t14_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_filter_0) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t27_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_filter_2) ).
fof(t21_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(t63_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(c_0_14,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_15,plain,
! [X70] :
( ~ v1_xboole_0(u1_struct_0(X70))
| ~ l1_struct_0(X70)
| v3_struct_0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_16,plain,
! [X33] :
( l1_struct_0(X33)
| ~ l1_lattices(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_17,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[t14_filter_0]) ).
fof(c_0_18,plain,
! [X1,X2] :
( ( m1_subset_1(X2,X1)
& ~ v1_xboole_0(X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
cnf(c_0_19,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X35] :
( ( ~ l3_lattices(X35)
| l2_lattices(X35) )
& ( ~ l3_lattices(X35)
| l1_lattices(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_22,plain,
! [X118,X119] :
( v14_lattices(X118)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X118),X119),X118)
| ~ m1_subset_1(X119,u1_struct_0(X118))
| ~ l3_lattices(X118)
| ~ v10_lattices(X118)
| v3_struct_0(X118) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_23,plain,
! [X110,X111] :
( k6_domain_1(X110,X111) = k1_tarski(X111)
| ~ m1_subset_1(X111,X110)
| v1_xboole_0(X110) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_24,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
inference(assume_negation,[status(cth)],[t27_filter_2]) ).
cnf(c_0_28,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v14_lattices(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ m1_subset_1(X2,X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,plain,
! [X112,X113] :
( ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| m1_filter_2(X113,X112)
| ~ m1_filter_0(X113,X112) )
& ( ~ l3_lattices(X112)
| ~ v10_lattices(X112)
| v3_struct_0(X112)
| m1_filter_0(X113,X112)
| ~ m1_filter_2(X113,X112) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])]) ).
fof(c_0_32,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_33,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_34,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k1_tarski(X2),X1)
| v3_struct_0(X1)
| v14_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_37,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X122,X123] :
( ( ~ l3_lattices(X122)
| ~ v10_lattices(X122)
| v3_struct_0(X122)
| m2_filter_2(X123,X122)
| ~ m1_filter_2(X123,k1_lattice2(X122)) )
& ( ~ l3_lattices(X122)
| ~ v10_lattices(X122)
| v3_struct_0(X122)
| m1_filter_2(X123,k1_lattice2(X122))
| ~ m2_filter_2(X123,X122) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])]) ).
fof(c_0_39,plain,
! [X83] :
( ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v10_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v9_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v8_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v7_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v6_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v5_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v4_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| v3_lattices(k1_lattice2(X83)) )
& ( ~ l3_lattices(X83)
| ~ v10_lattices(X83)
| v3_struct_0(X83)
| ~ v3_struct_0(k1_lattice2(X83)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_40,plain,
! [X28] :
( ( ~ l3_lattices(X28)
| l3_lattices(k1_lattice2(X28)) )
& ( ~ l3_lattices(X28)
| v3_lattices(k1_lattice2(X28)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_41,plain,
! [X69] :
( ( ~ l3_lattices(X69)
| v3_struct_0(X69)
| v3_lattices(k1_lattice2(X69)) )
& ( ~ l3_lattices(X69)
| v3_struct_0(X69)
| ~ v3_struct_0(k1_lattice2(X69)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_42,negated_conjecture,
( ~ v13_lattices(esk1_0)
& m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_43,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t63_lattice2]) ).
cnf(c_0_44,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_2(k1_tarski(X2),X1)
| v3_struct_0(X1)
| v14_lattices(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_2(X1,k1_lattice2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
m2_filter_2(k6_domain_1(u1_struct_0(esk1_0),esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_51,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_52,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_53,plain,
! [X134] :
( ( ~ l3_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| v13_lattices(X134)
| ~ v14_lattices(k1_lattice2(X134)) )
& ( ~ l3_lattices(X134)
| ~ v10_lattices(X134)
| v3_struct_0(X134)
| v14_lattices(k1_lattice2(X134))
| ~ v13_lattices(X134) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_54,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ m2_filter_2(k1_tarski(X2),X1)
| v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( m2_filter_2(k1_tarski(esk2_0),esk1_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_29]),c_0_50])]) ).
cnf(c_0_56,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_57,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_59,plain,
! [X29,X30] :
( m1_subset_1(k5_filter_2(X29,X30),u1_struct_0(k1_lattice2(X29)))
| ~ m1_subset_1(X30,u1_struct_0(X29))
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_60,plain,
! [X23,X24] :
( k5_filter_2(X23,X24) = X24
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_61,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0))
| v14_lattices(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_54,c_0_55]),c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
~ v13_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0)))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_56]),c_0_57])]),c_0_63]),c_0_58]) ).
cnf(c_0_67,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(k1_lattice2(X2))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
v1_xboole_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_66,c_0_67]),c_0_50]),c_0_56]),c_0_57])]),c_0_58]) ).
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_30,c_0_68]),c_0_56])]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT303+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.52 % Computer : n008.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sun Sep 20 23:31:40 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.56 Running first-order theorem proving
% 0.16/0.56 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/benchmark/theBenchmark.p
% 0.17/0.79 % Version: 3.5.1
% 0.17/0.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.79 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.79 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.79 % Starting sh5l with 300s (1) cores
% 0.17/0.79 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3832857 completed with status 0
% 0.17/0.79 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.79 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.79 % No SInE strategy applied
% 0.17/0.79 % Search class: FGHSM-FSMM31-SFFFFFNN
% 0.17/0.79 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.79 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 0.17/0.79 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.79 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.79 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 3832865 completed with status 0
% 0.17/0.79 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 0.17/0.79 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.79 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.79 % No SInE strategy applied
% 0.17/0.79 % Search class: FGHSM-FSMM31-SFFFFFNN
% 0.17/0.79 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.79 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.79 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 136s (1) cores
% 0.17/0.79 % Preprocessing time : 0.003 s
% 0.17/0.79 % Presaturation interreduction done
% 0.17/0.79
% 0.17/0.79 % Proof found!
% 0.17/0.79 % SZS status Theorem
% 0.17/0.79 % SZS output start CNFRefutation
% See solution above
% 0.17/0.79 % Parsed axioms : 91
% 0.17/0.79 % Removed by relevancy pruning/SinE : 0
% 0.17/0.79 % Initial clauses : 189
% 0.17/0.79 % Removed in clause preprocessing : 14
% 0.17/0.79 % Initial clauses in saturation : 175
% 0.17/0.79 % Processed clauses : 1945
% 0.17/0.79 % ...of these trivial : 3
% 0.17/0.79 % ...subsumed : 1162
% 0.17/0.79 % ...remaining for further processing : 780
% 0.17/0.79 % Other redundant clauses eliminated : 0
% 0.17/0.79 % Clauses deleted for lack of memory : 0
% 0.17/0.79 % Backward-subsumed : 25
% 0.17/0.79 % Backward-rewritten : 52
% 0.17/0.79 % Generated clauses : 5014
% 0.17/0.79 % ...of the previous two non-redundant : 4494
% 0.17/0.79 % ...aggressively subsumed : 0
% 0.17/0.79 % Contextual simplify-reflections : 57
% 0.17/0.79 % Paramodulations : 5014
% 0.17/0.79 % Factorizations : 0
% 0.17/0.79 % NegExts : 0
% 0.17/0.79 % Equation resolutions : 0
% 0.17/0.79 % Disequality decompositions : 0
% 0.17/0.79 % Total rewrite steps : 1107
% 0.17/0.79 % ...of those cached : 1042
% 0.17/0.79 % Propositional unsat checks : 0
% 0.17/0.79 % Propositional check models : 0
% 0.17/0.79 % Propositional check unsatisfiable : 0
% 0.17/0.79 % Propositional clauses : 0
% 0.17/0.79 % Propositional clauses after purity: 0
% 0.17/0.79 % Propositional unsat core size : 0
% 0.17/0.79 % Propositional preprocessing time : 0.000
% 0.17/0.79 % Propositional encoding time : 0.000
% 0.17/0.79 % Propositional solver time : 0.000
% 0.17/0.79 % Success case prop preproc time : 0.000
% 0.17/0.79 % Success case prop encoding time : 0.000
% 0.17/0.79 % Success case prop solver time : 0.000
% 0.17/0.79 % Current number of processed clauses : 541
% 0.17/0.79 % Positive orientable unit clauses : 82
% 0.17/0.79 % Positive unorientable unit clauses: 0
% 0.17/0.79 % Negative unit clauses : 16
% 0.17/0.79 % Non-unit-clauses : 443
% 0.17/0.79 % Current number of unprocessed clauses: 2789
% 0.17/0.79 % ...number of literals in the above : 13104
% 0.17/0.79 % Current number of archived formulas : 0
% 0.17/0.79 % Current number of archived clauses : 239
% 0.17/0.79 % Clause-clause subsumption calls (NU) : 102996
% 0.17/0.79 % Rec. Clause-clause subsumption calls : 46450
% 0.17/0.79 % Non-unit clause-clause subsumptions : 1239
% 0.17/0.79 % Unit Clause-clause subsumption calls : 996
% 0.17/0.79 % Rewrite failures with RHS unbound : 0
% 0.17/0.79 % BW rewrite match attempts : 156
% 0.17/0.79 % BW rewrite match successes : 6
% 0.17/0.79 % Condensation attempts : 0
% 0.17/0.79 % Condensation successes : 0
% 0.17/0.79 % Termbank termtop insertions : 95077
% 0.17/0.79 % Search garbage collected termcells : 1736
% 0.17/0.79
% 0.17/0.79 % -------------------------------------------------
% 0.17/0.79 % User time : 0.193 s
% 0.17/0.79 % System time : 0.010 s
% 0.17/0.79 % Total time : 0.202 s
% 0.17/0.79 % Maximum resident set size: 3976 pages
% 0.17/0.79
% 0.17/0.79 % -------------------------------------------------
% 0.17/0.79 % User time : 0.941 s
% 0.17/0.79 % System time : 0.044 s
% 0.17/0.79 % Total time : 0.986 s
% 0.17/0.79 % Maximum resident set size: 4608 pages
% 0.17/0.79 % E exiting
%------------------------------------------------------------------------------