%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT297+4 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 04:37:58 PM UTC 2026
% Result : Theorem 53.62s 52.87s
% Output : CNFRefutation 53.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 376 ( 6 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 496 ( 184 ~; 217 |; 54 &)
% ( 8 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 108 ( 8 sgn 62 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_filter_0,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))) )
=> ( m1_filter_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',d1_filter_0) ).
fof(t13_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_2) ).
fof(t11_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> m2_lattice4(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t11_lattice4) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',rc1_xboole_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> ( r2_hidden(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(c_0_10,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))) )
=> ( m1_filter_0(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_filter_0]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) )
=> m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_filter_2])]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> m2_lattice4(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t11_lattice4]) ).
fof(c_0_13,plain,
! [X363,X364] :
( ~ v1_xboole_0(X363)
| X363 = X364
| ~ v1_xboole_0(X364) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_14,plain,
v1_xboole_0(esk26_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_15,plain,
! [X312,X313,X314,X315] :
( ( ~ r2_hidden(X314,X313)
| ~ r2_hidden(X315,X313)
| r2_hidden(k4_lattices(X312,X314,X315),X313)
| ~ m1_subset_1(X315,u1_struct_0(X312))
| ~ m1_subset_1(X314,u1_struct_0(X312))
| ~ m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( r2_hidden(X314,X313)
| ~ r2_hidden(k4_lattices(X312,X314,X315),X313)
| ~ m1_subset_1(X315,u1_struct_0(X312))
| ~ m1_subset_1(X314,u1_struct_0(X312))
| ~ m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( r2_hidden(X315,X313)
| ~ r2_hidden(k4_lattices(X312,X314,X315),X313)
| ~ m1_subset_1(X315,u1_struct_0(X312))
| ~ m1_subset_1(X314,u1_struct_0(X312))
| ~ m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( m1_subset_1(esk15_2(X312,X313),u1_struct_0(X312))
| m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( m1_subset_1(esk16_2(X312,X313),u1_struct_0(X312))
| m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( ~ r2_hidden(esk15_2(X312,X313),X313)
| ~ r2_hidden(esk16_2(X312,X313),X313)
| ~ r2_hidden(k4_lattices(X312,esk15_2(X312,X313),esk16_2(X312,X313)),X313)
| m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( r2_hidden(esk15_2(X312,X313),X313)
| r2_hidden(k4_lattices(X312,esk15_2(X312,X313),esk16_2(X312,X313)),X313)
| m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) )
& ( r2_hidden(esk16_2(X312,X313),X313)
| r2_hidden(k4_lattices(X312,esk15_2(X312,X313),esk16_2(X312,X313)),X313)
| m1_filter_0(X313,X312)
| v1_xboole_0(X313)
| ~ m1_subset_1(X313,k1_zfmisc_1(u1_struct_0(X312)))
| v3_struct_0(X312)
| ~ v10_lattices(X312)
| ~ l3_lattices(X312) ) ),
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_10])])])])]) ).
fof(c_0_16,plain,
! [X260,X261] :
( ~ r2_hidden(X260,X261)
| ~ v1_xboole_0(X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_17,negated_conjecture,
! [X234,X235] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( ~ r2_hidden(X234,esk2_0)
| ~ r2_hidden(X235,esk2_0)
| r2_hidden(k4_lattices(esk1_0,X234,X235),esk2_0)
| ~ m1_subset_1(X235,u1_struct_0(esk1_0))
| ~ m1_subset_1(X234,u1_struct_0(esk1_0)) )
& ( r2_hidden(X234,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X234,X235),esk2_0)
| ~ m1_subset_1(X235,u1_struct_0(esk1_0))
| ~ m1_subset_1(X234,u1_struct_0(esk1_0)) )
& ( r2_hidden(X235,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X234,X235),esk2_0)
| ~ m1_subset_1(X235,u1_struct_0(esk1_0))
| ~ m1_subset_1(X234,u1_struct_0(esk1_0)) )
& ~ m2_lattice4(esk2_0,esk1_0) ),
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_11])])])])]) ).
fof(c_0_18,plain,
! [X245,X246] :
( v3_struct_0(X245)
| ~ v10_lattices(X245)
| ~ l3_lattices(X245)
| ~ m1_filter_0(X246,X245)
| m2_lattice4(X246,X245) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_19,plain,
! [X351,X352,X353] :
( ~ r2_hidden(X351,X352)
| ~ m1_subset_1(X352,k1_zfmisc_1(X353))
| m1_subset_1(X351,X353) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_20,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
v1_xboole_0(esk26_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X329] :
( m1_subset_1(esk19_1(X329),k1_zfmisc_1(X329))
& v1_xboole_0(esk19_1(X329)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_23,plain,
( m1_filter_0(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ r2_hidden(esk15_2(X1,X2),X2)
| ~ r2_hidden(esk16_2(X1,X2),X2)
| ~ r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
~ m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,plain,
( X1 = esk26_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_33,plain,
v1_xboole_0(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(k4_lattices(X2,esk15_2(X2,X1),esk16_2(X2,X1)),X1)
| ~ r2_hidden(esk15_2(X2,X1),X1)
| ~ r2_hidden(esk16_2(X2,X1),X1) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ r2_hidden(X1,esk2_0)
| ~ r2_hidden(X2,esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,negated_conjecture,
~ m1_filter_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_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X2,X1),esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39,plain,
( r2_hidden(esk16_2(X1,X2),X2)
| r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
| m1_filter_0(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_40,negated_conjecture,
( r2_hidden(X1,esk2_0)
| ~ r2_hidden(k4_lattices(esk1_0,X1,X2),esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_41,plain,
( r2_hidden(esk15_2(X1,X2),X2)
| r2_hidden(k4_lattices(X1,esk15_2(X1,X2),esk16_2(X1,X2)),X2)
| m1_filter_0(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_42,plain,
! [X354,X355,X356] :
( ~ r2_hidden(X354,X355)
| ~ m1_subset_1(X355,k1_zfmisc_1(X356))
| ~ v1_xboole_0(X356) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_43,plain,
m1_subset_1(esk19_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
esk19_1(X1) = esk26_0,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( m2_lattice4(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
=> ( r2_hidden(k4_lattices(X1,X3,X4),X2)
& r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_lattice4]) ).
cnf(c_0_46,negated_conjecture,
( ~ r2_hidden(esk15_2(esk1_0,esk2_0),esk2_0)
| ~ r2_hidden(esk16_2(esk1_0,esk2_0),esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_34,c_0_35]),c_0_27]),c_0_28]),c_0_31])]),c_0_36]),c_0_29]),c_0_37]),c_0_37]) ).
cnf(c_0_47,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk16_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk16_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(spm,[status(thm)],[c_0_38,c_0_39]),c_0_27]),c_0_28]),c_0_31])]),c_0_36]),c_0_29]) ).
cnf(c_0_48,negated_conjecture,
( v1_xboole_0(esk2_0)
| r2_hidden(esk15_2(esk1_0,esk2_0),esk2_0)
| ~ m1_subset_1(esk16_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk15_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(spm,[status(thm)],[c_0_40,c_0_41]),c_0_27]),c_0_28]),c_0_31])]),c_0_36]),c_0_29]) ).
cnf(c_0_49,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
m1_subset_1(esk26_0,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_51,plain,
! [X238,X239,X240,X241] :
( ( r2_hidden(k4_lattices(X238,X240,X241),X239)
| ~ r2_hidden(X240,X239)
| ~ r2_hidden(X241,X239)
| ~ m1_subset_1(X241,u1_struct_0(X238))
| ~ m1_subset_1(X240,u1_struct_0(X238))
| ~ m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( r2_hidden(k3_lattices(X238,X240,X241),X239)
| ~ r2_hidden(X240,X239)
| ~ r2_hidden(X241,X239)
| ~ m1_subset_1(X241,u1_struct_0(X238))
| ~ m1_subset_1(X240,u1_struct_0(X238))
| ~ m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( m1_subset_1(esk4_2(X238,X239),u1_struct_0(X238))
| m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( m1_subset_1(esk5_2(X238,X239),u1_struct_0(X238))
| m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( r2_hidden(esk4_2(X238,X239),X239)
| m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( r2_hidden(esk5_2(X238,X239),X239)
| m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) )
& ( ~ r2_hidden(k4_lattices(X238,esk4_2(X238,X239),esk5_2(X238,X239)),X239)
| ~ r2_hidden(k3_lattices(X238,esk4_2(X238,X239),esk5_2(X238,X239)),X239)
| m2_lattice4(X239,X238)
| ~ m1_subset_1(X239,k1_zfmisc_1(u1_struct_0(X238)))
| v3_struct_0(X238)
| ~ v10_lattices(X238)
| ~ l3_lattices(X238) ) ),
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_45])])])])]) ).
cnf(c_0_52,negated_conjecture,
( v1_xboole_0(esk2_0)
| ~ m1_subset_1(esk15_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk16_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_53,plain,
( m1_subset_1(esk16_2(X1,X2),u1_struct_0(X1))
| m1_filter_0(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_54,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk26_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( r2_hidden(esk4_2(X1,X2),X2)
| m2_lattice4(X2,X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( v1_xboole_0(esk2_0)
| ~ m1_subset_1(esk15_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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27]),c_0_28]),c_0_31])]),c_0_36]),c_0_29]) ).
cnf(c_0_57,plain,
( m1_subset_1(esk15_2(X1,X2),u1_struct_0(X1))
| m1_filter_0(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,plain,
( m2_lattice4(esk26_0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_50])]) ).
cnf(c_0_59,negated_conjecture,
v1_xboole_0(esk2_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(spm,[status(thm)],[c_0_56,c_0_57]),c_0_27]),c_0_28]),c_0_31])]),c_0_36]),c_0_29]) ).
cnf(c_0_60,plain,
( m2_lattice4(esk26_0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_21]) ).
cnf(c_0_61,negated_conjecture,
esk26_0 = esk2_0,
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
cnf(c_0_62,plain,
( m2_lattice4(esk2_0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_62]),c_0_27]),c_0_28])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : LAT297+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 16:06:30 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 53.62/52.87 % Version : CSE_E---1.7
% 53.62/52.87 % Problem : theBenchmark.p
% 53.62/52.87 % SZS status Theorem for theBenchmark.p
% 53.62/52.87 % SZS output start CNFRefutation
% See solution above
% 53.62/52.87 % Total time : 52.571s
%------------------------------------------------------------------------------