%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:06:06 PM UTC 2026
% Result : Theorem 42.15s 6.97s
% Output : CNFRefutation 42.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 12 unt; 0 def)
% Number of atoms : 361 ( 0 equ)
% Maximal formula atoms : 70 ( 6 avg)
% Number of connectives : 480 ( 173 ~; 195 |; 64 &)
% ( 10 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-3 aty)
% Number of variables : 90 ( 1 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(t15_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',t15_filter_0) ).
fof(t10_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',t10_lattice4) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+242.ax',dt_m1_filter_0) ).
fof(d10_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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(X4,X2)
& r2_hidden(X3,X2) )
=> ( r2_hidden(k3_lattices(X1,X3,X4),X2)
& r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',d10_lattice4) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+375.ax',dt_m2_lattice4) ).
fof(d3_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_2) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t4_subset) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(assume_negation,[status(cth)],[t28_filter_2]) ).
fof(c_0_11,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t15_filter_0]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_lattice4(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[t10_lattice4]) ).
fof(c_0_14,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_15,plain,
! [X51] :
( m1_filter_0(u1_struct_0(X51),X51)
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,negated_conjecture,
( ~ m2_filter_2(u1_struct_0(esk1_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_12])])])]) ).
fof(c_0_17,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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(X4,X2)
& r2_hidden(X3,X2) )
=> ( r2_hidden(k3_lattices(X1,X3,X4),X2)
& r2_hidden(k4_lattices(X1,X3,X4),X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d10_lattice4]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_19,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_filter_2]) ).
fof(c_0_20,plain,
! [X65] :
( m2_lattice4(u1_struct_0(X65),X65)
| ~ l3_lattices(X65)
| ~ v10_lattices(X65)
| v3_struct_0(X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_21,plain,
! [X52,X53] :
( ( ~ l3_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ m1_filter_0(X53,X52)
| m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(X52))) )
& ( ~ l3_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ m1_filter_0(X53,X52)
| ~ v1_xboole_0(X53) ) ),
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_14])])])])]) ).
cnf(c_0_22,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_26,plain,
! [X59,X60,X61,X62] :
( ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| m2_lattice4(X60,X59)
| ~ r2_hidden(k3_lattices(X59,esk12_2(X59,X60),esk13_2(X59,X60)),X60)
| ~ r2_hidden(k4_lattices(X59,esk12_2(X59,X60),esk13_2(X59,X60)),X60) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| m2_lattice4(X60,X59)
| r2_hidden(esk13_2(X59,X60),X60) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| m2_lattice4(X60,X59)
| r2_hidden(esk12_2(X59,X60),X60) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| m2_lattice4(X60,X59)
| m1_subset_1(esk13_2(X59,X60),u1_struct_0(X59)) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| m2_lattice4(X60,X59)
| m1_subset_1(esk12_2(X59,X60),u1_struct_0(X59)) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| ~ m2_lattice4(X60,X59)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X62,u1_struct_0(X59))
| ~ r2_hidden(X62,X60)
| ~ r2_hidden(X61,X60)
| r2_hidden(k3_lattices(X59,X61,X62),X60) )
& ( ~ l3_lattices(X59)
| ~ v10_lattices(X59)
| v3_struct_0(X59)
| ~ m1_subset_1(X60,k1_zfmisc_1(u1_struct_0(X59)))
| ~ m2_lattice4(X60,X59)
| ~ m1_subset_1(X61,u1_struct_0(X59))
| ~ m1_subset_1(X62,u1_struct_0(X59))
| ~ r2_hidden(X62,X60)
| ~ r2_hidden(X61,X60)
| r2_hidden(k4_lattices(X59,X61,X62),X60) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
fof(c_0_27,plain,
! [X364,X365,X366] :
( m1_subset_1(X364,X366)
| ~ m1_subset_1(X365,k1_zfmisc_1(X366))
| ~ r2_hidden(X364,X365) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
fof(c_0_28,plain,
! [X80,X81] :
( m1_subset_1(X81,k1_zfmisc_1(u1_struct_0(X80)))
| ~ m2_lattice4(X81,X80)
| ~ l3_lattices(X80)
| ~ v10_lattices(X80)
| v3_struct_0(X80) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_29,plain,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_30,plain,
! [X19,X20,X21,X22] :
( ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| m2_filter_2(X20,X19)
| r2_hidden(k3_lattices(X19,esk3_2(X19,X20),esk4_2(X19,X20)),X20)
| r2_hidden(esk4_2(X19,X20),X20) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| m2_filter_2(X20,X19)
| r2_hidden(k3_lattices(X19,esk3_2(X19,X20),esk4_2(X19,X20)),X20)
| r2_hidden(esk3_2(X19,X20),X20) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| m2_filter_2(X20,X19)
| ~ r2_hidden(k3_lattices(X19,esk3_2(X19,X20),esk4_2(X19,X20)),X20)
| ~ r2_hidden(esk4_2(X19,X20),X20)
| ~ r2_hidden(esk3_2(X19,X20),X20) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| m2_filter_2(X20,X19)
| m1_subset_1(esk4_2(X19,X20),u1_struct_0(X19)) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| m2_filter_2(X20,X19)
| m1_subset_1(esk3_2(X19,X20),u1_struct_0(X19)) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ m2_filter_2(X20,X19)
| ~ m1_subset_1(X21,u1_struct_0(X19))
| ~ m1_subset_1(X22,u1_struct_0(X19))
| ~ r2_hidden(k3_lattices(X19,X21,X22),X20)
| r2_hidden(X22,X20) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ m2_filter_2(X20,X19)
| ~ m1_subset_1(X21,u1_struct_0(X19))
| ~ m1_subset_1(X22,u1_struct_0(X19))
| ~ r2_hidden(k3_lattices(X19,X21,X22),X20)
| r2_hidden(X21,X20) )
& ( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ m2_lattice4(X20,X19)
| v1_xboole_0(X20)
| ~ m2_filter_2(X20,X19)
| ~ m1_subset_1(X21,u1_struct_0(X19))
| ~ m1_subset_1(X22,u1_struct_0(X19))
| r2_hidden(k3_lattices(X19,X21,X22),X20)
| ~ r2_hidden(X22,X20)
| ~ r2_hidden(X21,X20) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).
cnf(c_0_31,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(u1_struct_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,negated_conjecture,
m1_filter_0(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_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_34,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X102,X103] :
( ~ v1_xboole_0(X103)
| ~ r2_hidden(X102,X103) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_38,plain,
! [X127,X128] :
( ( ~ v1_xboole_0(X127)
| m1_subset_1(X128,X127)
| ~ v1_xboole_0(X128) )
& ( ~ v1_xboole_0(X127)
| v1_xboole_0(X128)
| ~ m1_subset_1(X128,X127) )
& ( v1_xboole_0(X127)
| m1_subset_1(X128,X127)
| ~ r2_hidden(X128,X127) )
& ( v1_xboole_0(X127)
| r2_hidden(X128,X127)
| ~ m1_subset_1(X128,X127) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_39,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk3_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,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_31,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_41,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,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_32,c_0_33]),c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_43,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ r2_hidden(k3_lattices(X1,esk3_2(X1,X2),esk4_2(X1,X2)),X2)
| ~ r2_hidden(esk4_2(X1,X2),X2)
| ~ r2_hidden(esk3_2(X1,X2),X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
( ~ r2_hidden(X2,X4)
| ~ r2_hidden(X3,X4)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X4,X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4)
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_34,c_0_35]),c_0_35]),c_0_36]) ).
cnf(c_0_45,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,negated_conjecture,
m1_subset_1(esk3_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_39,c_0_40]),c_0_23]),c_0_24])]),c_0_41]),c_0_25]),c_0_42]) ).
cnf(c_0_48,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_49,plain,
( ~ r2_hidden(esk4_2(X2,X1),X1)
| ~ r2_hidden(esk3_2(X2,X1),X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_lattice4(X1,X2)
| v3_struct_0(X2)
| m2_filter_2(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
r2_hidden(esk3_2(esk1_0,u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_42]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk4_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_48,c_0_40]),c_0_23]),c_0_24])]),c_0_41]),c_0_25]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
~ r2_hidden(esk4_2(esk1_0,u1_struct_0(esk1_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_49,c_0_50]),c_0_40]),c_0_23]),c_0_24])]),c_0_41]),c_0_25]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_51]),c_0_42]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n026.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 23:34:22 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 Running first-order theorem proving
% 0.24/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 42.15/6.97 % Version: 3.5.1
% 42.15/6.97 % Preprocessing class: FMLMSMSLSSSNFFN.
% 42.15/6.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.15/6.97 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 42.15/6.97 % Starting new_bool_3 with 600s (2) cores
% 42.15/6.97 % Starting new_bool_1 with 600s (2) cores
% 42.15/6.97 % Starting sh5l with 300s (1) cores
% 42.15/6.97 % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 838173 completed with status 0
% 42.15/6.97 % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 42.15/6.97 % Preprocessing class: FMLMSMSLSSSNFFN.
% 42.15/6.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.15/6.97 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 42.15/6.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 42.15/6.97 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 42.15/6.97 % Search class: FGHSM-SMLM32-DFFFFFNN
% 42.15/6.97 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 42.15/6.97 % Starting SubtermCWHack with 82s (1) cores
% 42.15/6.97 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 42.15/6.97 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 42.15/6.97 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 838184 completed with status 0
% 42.15/6.97 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 42.15/6.97 % Preprocessing class: FMLMSMSLSSSNFFN.
% 42.15/6.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.15/6.97 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 42.15/6.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 42.15/6.97 % SinE strategy is gf600_h_gu_R05_F100_L20000
% 42.15/6.97 % Search class: FGHSM-SMLM32-DFFFFFNN
% 42.15/6.97 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 42.15/6.97 % Starting SubtermCWHack with 82s (1) cores
% 42.15/6.97 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 42.15/6.97 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 42.15/6.97 % Preprocessing time : 0.074 s
% 42.15/6.97
% 42.15/6.97 % Proof found!
% 42.15/6.97 % SZS status Theorem
% 42.15/6.97 % SZS output start CNFRefutation
% See solution above
% 42.15/6.97 % Parsed axioms : 2952
% 42.15/6.97 % Removed by relevancy pruning/SinE : 890
% 42.15/6.97 % Initial clauses : 4408
% 42.15/6.97 % Removed in clause preprocessing : 138
% 42.15/6.97 % Initial clauses in saturation : 4270
% 42.15/6.97 % Processed clauses : 4650
% 42.15/6.97 % ...of these trivial : 64
% 42.15/6.97 % ...subsumed : 300
% 42.15/6.97 % ...remaining for further processing : 4285
% 42.15/6.97 % Other redundant clauses eliminated : 857
% 42.15/6.97 % Clauses deleted for lack of memory : 0
% 42.15/6.97 % Backward-subsumed : 2
% 42.15/6.97 % Backward-rewritten : 26
% 42.15/6.97 % Generated clauses : 135634
% 42.15/6.97 % ...of the previous two non-redundant : 118910
% 42.15/6.97 % ...aggressively subsumed : 0
% 42.15/6.97 % Contextual simplify-reflections : 200
% 42.15/6.97 % Paramodulations : 134481
% 42.15/6.97 % Factorizations : 338
% 42.15/6.97 % NegExts : 0
% 42.15/6.97 % Equation resolutions : 922
% 42.15/6.97 % Disequality decompositions : 0
% 42.15/6.97 % Total rewrite steps : 209009
% 42.15/6.97 % ...of those cached : 200290
% 42.15/6.97 % Propositional unsat checks : 0
% 42.15/6.97 % Propositional check models : 0
% 42.15/6.97 % Propositional check unsatisfiable : 0
% 42.15/6.97 % Propositional clauses : 0
% 42.15/6.97 % Propositional clauses after purity: 0
% 42.15/6.97 % Propositional unsat core size : 0
% 42.15/6.97 % Propositional preprocessing time : 0.000
% 42.15/6.97 % Propositional encoding time : 0.000
% 42.15/6.97 % Propositional solver time : 0.000
% 42.15/6.97 % Success case prop preproc time : 0.000
% 42.15/6.97 % Success case prop encoding time : 0.000
% 42.15/6.97 % Success case prop solver time : 0.000
% 42.15/6.97 % Current number of processed clauses : 3729
% 42.15/6.97 % Positive orientable unit clauses : 567
% 42.15/6.97 % Positive unorientable unit clauses: 58
% 42.15/6.97 % Negative unit clauses : 101
% 42.15/6.97 % Non-unit-clauses : 3003
% 42.15/6.97 % Current number of unprocessed clauses: 118528
% 42.15/6.97 % ...number of literals in the above : 369041
% 42.15/6.97 % Current number of archived formulas : 0
% 42.15/6.97 % Current number of archived clauses : 48
% 42.15/6.97 % Clause-clause subsumption calls (NU) : 3321485
% 42.15/6.97 % Rec. Clause-clause subsumption calls : 228192
% 42.15/6.97 % Non-unit clause-clause subsumptions : 430
% 42.15/6.97 % Unit Clause-clause subsumption calls : 162455
% 42.15/6.97 % Rewrite failures with RHS unbound : 0
% 42.15/6.97 % BW rewrite match attempts : 7261
% 42.15/6.97 % BW rewrite match successes : 4472
% 42.15/6.97 % Condensation attempts : 0
% 42.15/6.97 % Condensation successes : 0
% 42.15/6.97 % Termbank termtop insertions : 5570128
% 42.15/6.97 % Search garbage collected termcells : 89654
% 42.15/6.97
% 42.15/6.97 % -------------------------------------------------
% 42.15/6.97 % User time : 5.958 s
% 42.15/6.97 % System time : 0.166 s
% 42.15/6.97 % Total time : 6.124 s
% 42.15/6.97 % Maximum resident set size: 24276 pages
% 42.15/6.97
% 42.15/6.97 % -------------------------------------------------
% 42.15/6.97 % User time : 16.727 s
% 42.15/6.97 % System time : 0.408 s
% 42.15/6.97 % Total time : 17.134 s
% 42.15/6.97 % Maximum resident set size: 8448 pages
% 42.15/6.97 % E exiting
%------------------------------------------------------------------------------