%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT346+1 : 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 : n010.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 01:05:02 PM UTC 2026
% Result : Theorem 2.90s 0.80s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 11 unt; 0 def)
% Number of atoms : 375 ( 0 equ)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 449 ( 140 ~; 161 |; 120 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 39 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_conlat_2,conjecture,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_conlat_2) ).
fof(fc1_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( v4_lattice3(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(t21_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_conlat_2) ).
fof(dt_k10_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(d5_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( r1_filter_1(X1,X2)
<=> ? [X3] :
( v3_lattice4(X3,X1,X2)
& m1_lattice4(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).
fof(symmetry_r1_filter_1,axiom,
! [X1,X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r1_filter_1(X1,X2)
=> r1_filter_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_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/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
inference(assume_negation,[status(cth)],[t22_conlat_2]) ).
fof(c_0_12,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( v4_lattice3(k11_conlat_1(X1))
& v15_lattices(k11_conlat_1(X1))
& v14_lattices(k11_conlat_1(X1))
& v13_lattices(k11_conlat_1(X1))
& v10_lattices(k11_conlat_1(X1))
& v9_lattices(k11_conlat_1(X1))
& v8_lattices(k11_conlat_1(X1))
& v7_lattices(k11_conlat_1(X1))
& v6_lattices(k11_conlat_1(X1))
& v5_lattices(k11_conlat_1(X1))
& v4_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_conlat_2]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1))) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_conlat_1]) ).
fof(c_0_15,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_16,plain,
! [X78] :
( ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v4_lattice3(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v15_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v14_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v13_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v10_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v9_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v8_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v7_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v6_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v5_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v4_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| v3_lattices(k11_conlat_1(X78)) )
& ( ~ l2_conlat_1(X78)
| v3_conlat_1(X78)
| ~ v3_struct_0(k11_conlat_1(X78)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_17,negated_conjecture,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0)))
& l2_conlat_1(esk1_0)
& ~ v3_conlat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_18,plain,
! [X40] :
( ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| l3_lattices(k11_conlat_1(X40)) )
& ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| v3_lattices(k11_conlat_1(X40)) )
& ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| ~ v3_struct_0(k11_conlat_1(X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
inference(fof_simplification,[status(thm)],[t21_conlat_2]) ).
fof(c_0_20,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k10_conlat_2]) ).
fof(c_0_21,plain,
! [X95] :
( ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v10_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v9_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v8_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v7_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v6_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v5_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v4_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| v3_lattices(k1_lattice2(X95)) )
& ( ~ l3_lattices(X95)
| ~ v10_lattices(X95)
| v3_struct_0(X95)
| ~ v3_struct_0(k1_lattice2(X95)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_22,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l2_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& ~ v3_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
fof(c_0_27,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) )
=> ( r1_filter_1(X1,X2)
<=> ? [X3] :
( v3_lattice4(X3,X1,X2)
& m1_lattice4(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_lattice4]) ).
fof(c_0_28,plain,
! [X150] :
( v3_lattice4(k10_conlat_2(X150),k1_lattice2(k11_conlat_1(X150)),k11_conlat_1(k7_conlat_2(X150)))
| ~ l2_conlat_1(X150)
| v3_conlat_1(X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_29,plain,
! [X39] :
( m1_lattice4(k10_conlat_2(X39),k1_lattice2(k11_conlat_1(X39)),k11_conlat_1(k7_conlat_2(X39)))
| ~ l2_conlat_1(X39)
| v3_conlat_1(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_30,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
v10_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_32,negated_conjecture,
l3_lattices(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24]) ).
fof(c_0_33,plain,
! [X46] :
( ( ~ l2_conlat_1(X46)
| v3_conlat_1(X46)
| l2_conlat_1(k7_conlat_2(X46)) )
& ( ~ l2_conlat_1(X46)
| v3_conlat_1(X46)
| v4_conlat_1(k7_conlat_2(X46)) )
& ( ~ l2_conlat_1(X46)
| v3_conlat_1(X46)
| ~ v3_conlat_1(k7_conlat_2(X46)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_34,plain,
! [X28,X29,X31] :
( ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| r1_filter_1(X28,X29)
| ~ v3_lattice4(X31,X28,X29)
| ~ m1_lattice4(X31,X28,X29) )
& ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| ~ r1_filter_1(X28,X29)
| v3_lattice4(esk2_2(X28,X29),X28,X29) )
& ( ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ l3_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| ~ r1_filter_1(X28,X29)
| m1_lattice4(esk2_2(X28,X29),X28,X29) ) ),
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_27])])])])])]) ).
cnf(c_0_35,plain,
( ~ l2_conlat_1(X1)
| v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( ~ l2_conlat_1(X1)
| m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,negated_conjecture,
( v3_struct_0(k11_conlat_1(esk1_0))
| v10_lattices(k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_39,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l2_conlat_1(k7_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ v3_lattice4(X1,X2,X3)
| ~ m1_lattice4(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| r1_filter_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
v3_lattice4(k10_conlat_2(esk1_0),k1_lattice2(k11_conlat_1(esk1_0)),k11_conlat_1(k7_conlat_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_24]) ).
cnf(c_0_42,negated_conjecture,
m1_lattice4(k10_conlat_2(esk1_0),k1_lattice2(k11_conlat_1(esk1_0)),k11_conlat_1(k7_conlat_2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_23]),c_0_24]) ).
cnf(c_0_43,negated_conjecture,
v10_lattices(k1_lattice2(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23])]),c_0_24]) ).
cnf(c_0_44,negated_conjecture,
l2_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_24]) ).
fof(c_0_45,plain,
! [X1,X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r1_filter_1(X1,X2)
=> r1_filter_1(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[symmetry_r1_filter_1]) ).
cnf(c_0_46,negated_conjecture,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(esk1_0)),k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_47,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v10_lattices(k11_conlat_1(k7_conlat_2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_44]) ).
fof(c_0_49,plain,
! [X41] :
( ( ~ l3_lattices(X41)
| l3_lattices(k1_lattice2(X41)) )
& ( ~ l3_lattices(X41)
| v3_lattices(k1_lattice2(X41)) ) ),
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_50,plain,
! [X146,X147] :
( r1_filter_1(X147,X146)
| ~ r1_filter_1(X146,X147)
| ~ l3_lattices(X147)
| ~ v10_lattices(X147)
| v3_struct_0(X147)
| ~ l3_lattices(X146)
| ~ v10_lattices(X146)
| v3_struct_0(X146) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_51,negated_conjecture,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0))
| r1_filter_1(k1_lattice2(k11_conlat_1(esk1_0)),k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_52,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
( ~ r1_filter_1(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_filter_1(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| r1_filter_1(k1_lattice2(k11_conlat_1(esk1_0)),k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32])]) ).
cnf(c_0_55,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_56,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]) ).
cnf(c_0_57,negated_conjecture,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0))
| v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_43])]),c_0_55]),c_0_48]),c_0_47]) ).
fof(c_0_58,plain,
! [X79] :
( ( ~ l3_lattices(X79)
| v3_struct_0(X79)
| v3_lattices(k1_lattice2(X79)) )
& ( ~ l3_lattices(X79)
| v3_struct_0(X79)
| ~ v3_struct_0(k1_lattice2(X79)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
cnf(c_0_59,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_32])]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v3_struct_0(k1_lattice2(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_59]),c_0_44])]) ).
cnf(c_0_62,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| v3_struct_0(k11_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_32])]) ).
cnf(c_0_63,plain,
( ~ l2_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_64,negated_conjecture,
v3_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_23])]),c_0_24]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT346+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 23:44:54 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 2.90/0.80 % Version: 3.5.1
% 2.90/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.90/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.90/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.90/0.80 % Starting new_bool_3 with 300s (1) cores
% 2.90/0.80 % Starting new_bool_1 with 300s (1) cores
% 2.90/0.80 % Starting sh5l with 300s (1) cores
% 2.90/0.80 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3788166 completed with status 0
% 2.90/0.80 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.90/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.90/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.90/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.90/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.90/0.80 % No SInE strategy applied
% 2.90/0.80 % Search class: FGHSM-FSLM31-MFFFFFNN
% 2.90/0.80 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.90/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.90/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.90/0.80 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 2.90/0.80 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 2.90/0.80 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.90/0.80 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 3788181 completed with status 0
% 2.90/0.80 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 2.90/0.80 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.90/0.80 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.90/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.90/0.80 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.90/0.80 % No SInE strategy applied
% 2.90/0.80 % Search class: FGHSM-FSLM31-MFFFFFNN
% 2.90/0.80 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.90/0.80 % Starting SubtermCWHack with 136s (1) cores
% 2.90/0.80 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.90/0.80 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 2.90/0.80 % Preprocessing time : 0.004 s
% 2.90/0.80 % Presaturation interreduction done
% 2.90/0.80
% 2.90/0.80 % Proof found!
% 2.90/0.80 % SZS status Theorem
% 2.90/0.80 % SZS output start CNFRefutation
% See solution above
% 2.90/0.80 % Parsed axioms : 102
% 2.90/0.80 % Removed by relevancy pruning/SinE : 0
% 2.90/0.80 % Initial clauses : 244
% 2.90/0.80 % Removed in clause preprocessing : 19
% 2.90/0.80 % Initial clauses in saturation : 225
% 2.90/0.80 % Processed clauses : 2089
% 2.90/0.80 % ...of these trivial : 58
% 2.90/0.80 % ...subsumed : 229
% 2.90/0.80 % ...remaining for further processing : 1802
% 2.90/0.80 % Other redundant clauses eliminated : 6
% 2.90/0.80 % Clauses deleted for lack of memory : 0
% 2.90/0.80 % Backward-subsumed : 475
% 2.90/0.80 % Backward-rewritten : 308
% 2.90/0.80 % Generated clauses : 2789
% 2.90/0.80 % ...of the previous two non-redundant : 2688
% 2.90/0.80 % ...aggressively subsumed : 0
% 2.90/0.80 % Contextual simplify-reflections : 197
% 2.90/0.80 % Paramodulations : 2764
% 2.90/0.80 % Factorizations : 16
% 2.90/0.80 % NegExts : 0
% 2.90/0.80 % Equation resolutions : 9
% 2.90/0.80 % Disequality decompositions : 0
% 2.90/0.80 % Total rewrite steps : 1320
% 2.90/0.80 % ...of those cached : 1144
% 2.90/0.80 % Propositional unsat checks : 0
% 2.90/0.80 % Propositional check models : 0
% 2.90/0.80 % Propositional check unsatisfiable : 0
% 2.90/0.80 % Propositional clauses : 0
% 2.90/0.80 % Propositional clauses after purity: 0
% 2.90/0.80 % Propositional unsat core size : 0
% 2.90/0.80 % Propositional preprocessing time : 0.000
% 2.90/0.80 % Propositional encoding time : 0.000
% 2.90/0.80 % Propositional solver time : 0.000
% 2.90/0.80 % Success case prop preproc time : 0.000
% 2.90/0.80 % Success case prop encoding time : 0.000
% 2.90/0.80 % Success case prop solver time : 0.000
% 2.90/0.80 % Current number of processed clauses : 837
% 2.90/0.80 % Positive orientable unit clauses : 211
% 2.90/0.80 % Positive unorientable unit clauses: 0
% 2.90/0.80 % Negative unit clauses : 17
% 2.90/0.80 % Non-unit-clauses : 609
% 2.90/0.80 % Current number of unprocessed clauses: 986
% 2.90/0.80 % ...number of literals in the above : 5164
% 2.90/0.80 % Current number of archived formulas : 0
% 2.90/0.80 % Current number of archived clauses : 965
% 2.90/0.80 % Clause-clause subsumption calls (NU) : 241529
% 2.90/0.80 % Rec. Clause-clause subsumption calls : 72932
% 2.90/0.80 % Non-unit clause-clause subsumptions : 888
% 2.90/0.80 % Unit Clause-clause subsumption calls : 3810
% 2.90/0.80 % Rewrite failures with RHS unbound : 0
% 2.90/0.80 % BW rewrite match attempts : 196
% 2.90/0.80 % BW rewrite match successes : 69
% 2.90/0.80 % Condensation attempts : 0
% 2.90/0.80 % Condensation successes : 0
% 2.90/0.80 % Termbank termtop insertions : 74874
% 2.90/0.80 % Search garbage collected termcells : 2144
% 2.90/0.80
% 2.90/0.80 % -------------------------------------------------
% 2.90/0.80 % User time : 0.263 s
% 2.90/0.80 % System time : 0.010 s
% 2.90/0.80 % Total time : 0.273 s
% 2.90/0.80 % Maximum resident set size: 4256 pages
% 2.90/0.80
% 2.90/0.80 % -------------------------------------------------
% 2.90/0.80 % User time : 1.579 s
% 2.90/0.80 % System time : 0.070 s
% 2.90/0.80 % Total time : 1.650 s
% 2.90/0.80 % Maximum resident set size: 4864 pages
% 2.90/0.80 % E exiting
%------------------------------------------------------------------------------