%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT304+4 : 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 : n006.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 04:38:01 PM UTC 2026
% Result : Theorem 56.61s 54.68s
% Output : CNFRefutation 56.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 333 ( 0 equ)
% Maximal formula atoms : 51 ( 5 avg)
% Number of connectives : 425 ( 154 ~; 171 |; 57 &)
% ( 8 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 99 ( 3 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rc1_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',rc1_lattice4) ).
fof(t28_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_filter_2) ).
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/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(t10_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',existence_m1_subset_1) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(t15_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] :
( 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(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ? [X2] :
( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_lattice4]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_filter_2])]) ).
fof(c_0_13,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]) ).
fof(c_0_14,plain,
! [X331] :
( ( m2_lattice4(esk9_1(X331),X331)
| v3_struct_0(X331)
| ~ v10_lattices(X331)
| ~ l3_lattices(X331) )
& ( ~ v1_xboole_0(esk9_1(X331))
| v3_struct_0(X331)
| ~ v10_lattices(X331)
| ~ l3_lattices(X331) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_15,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_16,plain,
! [X342,X343] :
( v3_struct_0(X342)
| ~ v10_lattices(X342)
| ~ l3_lattices(X342)
| ~ m2_lattice4(X343,X342)
| m1_subset_1(X343,k1_zfmisc_1(u1_struct_0(X342))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
cnf(c_0_17,plain,
( m2_lattice4(esk9_1(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t10_lattice4]) ).
fof(c_0_23,plain,
! [X483,X484,X485] :
( ~ r2_hidden(X483,X484)
| ~ m1_subset_1(X484,k1_zfmisc_1(X485))
| ~ v1_xboole_0(X485) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_24,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_16]) ).
cnf(c_0_25,negated_conjecture,
m2_lattice4(esk9_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]) ).
fof(c_0_26,plain,
! [X360,X361] :
( ( ~ m1_subset_1(X361,X360)
| r2_hidden(X361,X360)
| v1_xboole_0(X360) )
& ( ~ r2_hidden(X361,X360)
| m1_subset_1(X361,X360)
| v1_xboole_0(X360) )
& ( ~ m1_subset_1(X361,X360)
| v1_xboole_0(X361)
| ~ v1_xboole_0(X360) )
& ( ~ v1_xboole_0(X361)
| m1_subset_1(X361,X360)
| ~ v1_xboole_0(X360) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_27,plain,
! [X453] : m1_subset_1(esk31_1(X453),X453),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_28,plain,
! [X339] :
( v3_struct_0(X339)
| ~ v10_lattices(X339)
| ~ l3_lattices(X339)
| m2_lattice4(u1_struct_0(X339),X339) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
cnf(c_0_29,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk9_1(esk1_0),k1_zfmisc_1(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_24,c_0_25]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_31,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
m1_subset_1(esk31_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,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]) ).
fof(c_0_34,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] :
( 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(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t15_filter_2]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| m2_lattice4(u1_struct_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk9_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( v1_xboole_0(X1)
| r2_hidden(esk31_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_38,plain,
! [X333,X334,X335,X336] :
( ( r2_hidden(k4_lattices(X333,X335,X336),X334)
| ~ r2_hidden(X335,X334)
| ~ r2_hidden(X336,X334)
| ~ m1_subset_1(X336,u1_struct_0(X333))
| ~ m1_subset_1(X335,u1_struct_0(X333))
| ~ m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( r2_hidden(k3_lattices(X333,X335,X336),X334)
| ~ r2_hidden(X335,X334)
| ~ r2_hidden(X336,X334)
| ~ m1_subset_1(X336,u1_struct_0(X333))
| ~ m1_subset_1(X335,u1_struct_0(X333))
| ~ m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( m1_subset_1(esk10_2(X333,X334),u1_struct_0(X333))
| m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( m1_subset_1(esk11_2(X333,X334),u1_struct_0(X333))
| m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( r2_hidden(esk10_2(X333,X334),X334)
| m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( r2_hidden(esk11_2(X333,X334),X334)
| m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) )
& ( ~ r2_hidden(k4_lattices(X333,esk10_2(X333,X334),esk11_2(X333,X334)),X334)
| ~ r2_hidden(k3_lattices(X333,esk10_2(X333,X334),esk11_2(X333,X334)),X334)
| m2_lattice4(X334,X333)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X333)))
| v3_struct_0(X333)
| ~ v10_lattices(X333)
| ~ l3_lattices(X333) ) ),
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_33])])])])]) ).
fof(c_0_39,plain,
! [X480,X481,X482] :
( ~ r2_hidden(X480,X481)
| ~ m1_subset_1(X481,k1_zfmisc_1(X482))
| m1_subset_1(X480,X482) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_40,plain,
! [X309,X310] :
( ( m1_subset_1(esk5_2(X309,X310),u1_struct_0(X309))
| m2_filter_2(X310,X309)
| v1_xboole_0(X310)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( m1_subset_1(esk6_2(X309,X310),u1_struct_0(X309))
| m2_filter_2(X310,X309)
| v1_xboole_0(X310)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( ~ r2_hidden(esk5_2(X309,X310),X310)
| ~ r2_hidden(esk6_2(X309,X310),X310)
| ~ r2_hidden(k3_lattices(X309,esk5_2(X309,X310),esk6_2(X309,X310)),X310)
| m2_filter_2(X310,X309)
| v1_xboole_0(X310)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( r2_hidden(esk5_2(X309,X310),X310)
| r2_hidden(k3_lattices(X309,esk5_2(X309,X310),esk6_2(X309,X310)),X310)
| m2_filter_2(X310,X309)
| v1_xboole_0(X310)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) )
& ( r2_hidden(esk6_2(X309,X310),X310)
| r2_hidden(k3_lattices(X309,esk5_2(X309,X310),esk6_2(X309,X310)),X310)
| m2_filter_2(X310,X309)
| v1_xboole_0(X310)
| ~ m1_subset_1(X310,k1_zfmisc_1(u1_struct_0(X309)))
| v3_struct_0(X309)
| ~ v10_lattices(X309)
| ~ l3_lattices(X309) ) ),
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_34])])])])]) ).
cnf(c_0_41,negated_conjecture,
m2_lattice4(u1_struct_0(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk9_1(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,negated_conjecture,
( v1_xboole_0(esk9_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_44,plain,
! [X356,X357] :
( ~ r2_hidden(X356,X357)
| ~ v1_xboole_0(X357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_45,plain,
( r2_hidden(k3_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X4)
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,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_39]) ).
cnf(c_0_47,plain,
( m1_subset_1(esk5_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(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_40]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(u1_struct_0(esk1_0),k1_zfmisc_1(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_24,c_0_41]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_49,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_50,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(spm,[status(thm)],[c_0_42,c_0_43]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_51,plain,
( m1_subset_1(esk6_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(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_40]) ).
cnf(c_0_52,plain,
( m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ r2_hidden(esk5_2(X1,X2),X2)
| ~ r2_hidden(esk6_2(X1,X2),X2)
| ~ r2_hidden(k3_lattices(X1,esk5_2(X1,X2),esk6_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_40]) ).
cnf(c_0_53,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| ~ m2_lattice4(X4,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_45,c_0_46]),c_0_46]),c_0_24]) ).
cnf(c_0_55,negated_conjecture,
m1_subset_1(esk5_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_47,c_0_48]),c_0_18]),c_0_19])]),c_0_49]),c_0_20]),c_0_50]) ).
cnf(c_0_56,negated_conjecture,
m1_subset_1(esk6_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_51,c_0_48]),c_0_18]),c_0_19])]),c_0_49]),c_0_20]),c_0_50]) ).
cnf(c_0_57,plain,
( m2_filter_2(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(k3_lattices(X2,esk5_2(X2,X1),esk6_2(X2,X1)),X1)
| ~ r2_hidden(esk5_2(X2,X1),X1)
| ~ r2_hidden(esk6_2(X2,X1),X1) ),
inference(csr,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( r2_hidden(k3_lattices(esk1_0,X1,X2),u1_struct_0(esk1_0))
| ~ r2_hidden(X2,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,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_54,c_0_41]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_59,negated_conjecture,
r2_hidden(esk5_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_50]) ).
cnf(c_0_60,negated_conjecture,
r2_hidden(esk6_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_50]) ).
cnf(c_0_61,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_18]),c_0_19]),c_0_48]),c_0_59]),c_0_60])]),c_0_49]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT304+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n006.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 21:09:21 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 56.61/54.68 % Version : CSE_E---1.7
% 56.61/54.68 % Problem : theBenchmark.p
% 56.61/54.68 % SZS status Theorem for theBenchmark.p
% 56.61/54.68 % SZS output start CNFRefutation
% See solution above
% 56.61/54.69 % Total time : 53.729s
%------------------------------------------------------------------------------