%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT310+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 : 300s
% DateTime : Tue May 5 04:38:02 PM UTC 2026
% Result : Theorem 1.18s 1.64s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 20 unt; 0 def)
% Number of atoms : 280 ( 9 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 358 ( 138 ~; 131 |; 55 &)
% ( 3 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 85 ( 1 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(dt_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(t39_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_filter_2) ).
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/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_filter_2(X3,X1)
=> ( X3 = k19_filter_2(X1,X2)
<=> ( r1_tarski(X2,X3)
& ! [X4] :
( m2_filter_2(X4,X1)
=> ( r1_tarski(X2,X4)
=> r1_tarski(X3,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d11_filter_2]) ).
fof(c_0_9,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ( r1_tarski(X3,X4)
=> r1_tarski(k19_filter_2(X1,X3),k19_filter_2(X1,X4)) )
& r1_tarski(k19_filter_2(X1,k19_filter_2(X1,X2)),k19_filter_2(X1,X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t39_filter_2])]) ).
fof(c_0_11,plain,
! [X81,X82,X83,X84] :
( ( r1_tarski(X82,X83)
| X83 != k19_filter_2(X81,X82)
| ~ m2_filter_2(X83,X81)
| v1_xboole_0(X82)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( ~ m2_filter_2(X84,X81)
| ~ r1_tarski(X82,X84)
| r1_tarski(X83,X84)
| X83 != k19_filter_2(X81,X82)
| ~ m2_filter_2(X83,X81)
| v1_xboole_0(X82)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( m2_filter_2(esk5_3(X81,X82,X83),X81)
| ~ r1_tarski(X82,X83)
| X83 = k19_filter_2(X81,X82)
| ~ m2_filter_2(X83,X81)
| v1_xboole_0(X82)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( r1_tarski(X82,esk5_3(X81,X82,X83))
| ~ r1_tarski(X82,X83)
| X83 = k19_filter_2(X81,X82)
| ~ m2_filter_2(X83,X81)
| v1_xboole_0(X82)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) )
& ( ~ r1_tarski(X83,esk5_3(X81,X82,X83))
| ~ r1_tarski(X82,X83)
| X83 = k19_filter_2(X81,X82)
| ~ m2_filter_2(X83,X81)
| v1_xboole_0(X82)
| ~ m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81)))
| v3_struct_0(X81)
| ~ v10_lattices(X81)
| ~ l3_lattices(X81) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_12,plain,
! [X86,X87] :
( v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ l3_lattices(X86)
| v1_xboole_0(X87)
| ~ m1_subset_1(X87,k1_zfmisc_1(u1_struct_0(X86)))
| m2_filter_2(k19_filter_2(X86,X87),X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_13,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_14,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ~ v1_xboole_0(esk4_0)
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) )
& ( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_15,plain,
( r1_tarski(X4,X1)
| v1_xboole_0(X3)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ r1_tarski(X3,X1)
| X4 != k19_filter_2(X2,X3)
| ~ m2_filter_2(X4,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X126,X127] :
( ( ~ m1_subset_1(X126,k1_zfmisc_1(X127))
| r1_tarski(X126,X127) )
& ( ~ r1_tarski(X126,X127)
| m1_subset_1(X126,k1_zfmisc_1(X127)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_18,plain,
! [X91,X92] :
( ( ~ v1_xboole_0(X92)
| ~ m2_filter_2(X92,X91)
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( m2_lattice4(X92,X91)
| ~ m2_filter_2(X92,X91)
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_16]) ).
cnf(c_0_25,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X118] : r1_tarski(X118,X118),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_27,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk2_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_16,c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
fof(c_0_29,plain,
! [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))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
cnf(c_0_30,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_31,plain,
( r1_tarski(k19_filter_2(X1,X2),X3)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,u1_struct_0(X1))
| ~ r1_tarski(X2,X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
~ v1_xboole_0(k19_filter_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,negated_conjecture,
~ v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_38,plain,
! [X93,X94] :
( v3_struct_0(X93)
| ~ v10_lattices(X93)
| ~ l3_lattices(X93)
| ~ m2_lattice4(X94,X93)
| m1_subset_1(X94,k1_zfmisc_1(u1_struct_0(X93))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(k19_filter_2(esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_28]),c_0_32]),c_0_20]),c_0_21])]),c_0_33]),c_0_23]) ).
cnf(c_0_40,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk4_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_16,c_0_34]),c_0_20]),c_0_21])]),c_0_35]),c_0_23]) ).
cnf(c_0_41,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( r1_tarski(X1,X2)
| v1_xboole_0(X1)
| v3_struct_0(X3)
| X2 != k19_filter_2(X3,X1)
| ~ m2_filter_2(X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,k19_filter_2(esk1_0,esk2_0)),k19_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_46,negated_conjecture,
( ~ r1_tarski(k19_filter_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[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_39,c_0_31]),c_0_40]),c_0_41]),c_0_20]),c_0_21])]),c_0_42]),c_0_23]) ).
cnf(c_0_47,plain,
( r1_tarski(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
fof(c_0_48,plain,
! [X121,X122,X123] :
( ~ r1_tarski(X121,X122)
| ~ r1_tarski(X122,X123)
| r1_tarski(X121,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_49,plain,
( r1_tarski(X1,k19_filter_2(X2,X1))
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_16]) ).
cnf(c_0_50,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ r1_tarski(k19_filter_2(esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_28]),c_0_32]),c_0_20]),c_0_21])]),c_0_33]),c_0_23]) ).
cnf(c_0_51,negated_conjecture,
( ~ m2_lattice4(k19_filter_2(esk1_0,esk2_0),esk1_0)
| ~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_52,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_53,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
r1_tarski(esk4_0,k19_filter_2(esk1_0,esk4_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_49,c_0_34]),c_0_20]),c_0_21])]),c_0_35]),c_0_23]) ).
cnf(c_0_55,negated_conjecture,
( r1_tarski(esk3_0,esk4_0)
| ~ m2_lattice4(k19_filter_2(esk1_0,esk2_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_47]),c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_56,negated_conjecture,
~ r1_tarski(esk3_0,k19_filter_2(esk1_0,esk4_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_51,c_0_52]),c_0_28]),c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_57,negated_conjecture,
( r1_tarski(X1,k19_filter_2(esk1_0,esk4_0))
| ~ r1_tarski(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
r1_tarski(esk3_0,esk4_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_55,c_0_52]),c_0_28]),c_0_20]),c_0_21])]),c_0_23]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LAT310+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 16:11:26 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.18/1.64 % Version : CSE_E---1.7
% 1.18/1.64 % Problem : theBenchmark.p
% 1.18/1.64 % SZS status Theorem for theBenchmark.p
% 1.18/1.64 % SZS output start CNFRefutation
% See solution above
% 1.18/1.64 % Total time : 1.362s
%------------------------------------------------------------------------------