%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT307+1 : 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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:38:02 PM UTC 2026
% Result : Theorem 6.54s 4.32s
% Output : CNFRefutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 142 ( 15 unt; 0 def)
% Number of atoms : 682 ( 87 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 835 ( 295 ~; 324 |; 144 &)
% ( 7 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 191 ( 8 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(t34_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(t22_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_filter_0) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t34_filter_2])]) ).
fof(c_0_26,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_27,plain,
! [X189,X190] :
( ( ~ v1_xboole_0(X190)
| ~ m2_filter_2(X190,X189)
| v3_struct_0(X189)
| ~ v10_lattices(X189)
| ~ l3_lattices(X189) )
& ( m2_lattice4(X190,X189)
| ~ m2_filter_2(X190,X189)
| v3_struct_0(X189)
| ~ v10_lattices(X189)
| ~ l3_lattices(X189) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_28,negated_conjecture,
! [X152] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& v14_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& esk2_0 != u1_struct_0(esk1_0)
& ( ~ m2_filter_2(X152,esk1_0)
| ~ r1_tarski(esk2_0,X152)
| ~ r2_filter_2(esk1_0,X152) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
fof(c_0_30,plain,
! [X191,X192] :
( v3_struct_0(X191)
| ~ v10_lattices(X191)
| ~ l3_lattices(X191)
| ~ m2_lattice4(X192,X191)
| m1_subset_1(X192,k1_zfmisc_1(u1_struct_0(X191))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_31,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_37,plain,
! [X166,X167] :
( v3_struct_0(X166)
| ~ v10_lattices(X166)
| ~ l3_lattices(X166)
| ~ m1_subset_1(X167,k1_zfmisc_1(u1_struct_0(X166)))
| k7_filter_2(X166,X167) = X167 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_38,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_30]) ).
cnf(c_0_39,negated_conjecture,
m2_lattice4(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_31,c_0_32]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_40,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_filter_2]) ).
fof(c_0_41,plain,
! [X261,X262] :
( v3_struct_0(X261)
| ~ v10_lattices(X261)
| ~ l3_lattices(X261)
| ~ m2_filter_2(X262,X261)
| k15_filter_2(X261,X262) = k7_filter_2(X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk2_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_38,c_0_39]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_44,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_45,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_46,plain,
! [X175,X176] :
( v3_struct_0(X175)
| ~ v10_lattices(X175)
| ~ l3_lattices(X175)
| ~ m2_filter_2(X176,X175)
| m1_filter_2(k15_filter_2(X175,X176),k1_lattice2(X175)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
k7_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_49,plain,
! [X234] :
( ( ~ v3_struct_0(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v3_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v4_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v5_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v6_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v7_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v8_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v9_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) )
& ( v10_lattices(k1_lattice2(X234))
| v3_struct_0(X234)
| ~ v10_lattices(X234)
| ~ l3_lattices(X234) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
fof(c_0_50,plain,
! [X263,X264] :
( ( ~ m1_filter_2(X264,X263)
| m1_filter_0(X264,X263)
| v3_struct_0(X263)
| ~ v10_lattices(X263)
| ~ l3_lattices(X263) )
& ( ~ m1_filter_0(X264,X263)
| m1_filter_2(X264,X263)
| v3_struct_0(X263)
| ~ v10_lattices(X263)
| ~ l3_lattices(X263) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
k15_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_48]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_53,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t22_filter_0]) ).
cnf(c_0_56,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_32]),c_0_52]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_58,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_59,plain,
! [X177] :
( ( v3_lattices(k1_lattice2(X177))
| ~ l3_lattices(X177) )
& ( l3_lattices(k1_lattice2(X177))
| ~ l3_lattices(X177) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_60,plain,
! [X286] :
( ( ~ v14_lattices(X286)
| v13_lattices(k1_lattice2(X286))
| v3_struct_0(X286)
| ~ v10_lattices(X286)
| ~ l3_lattices(X286) )
& ( ~ v13_lattices(k1_lattice2(X286))
| v14_lattices(X286)
| v3_struct_0(X286)
| ~ v10_lattices(X286)
| ~ l3_lattices(X286) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_61,plain,
! [X271,X272] :
( ( m1_filter_0(esk28_2(X271,X272),X271)
| X272 = u1_struct_0(X271)
| ~ m1_filter_0(X272,X271)
| ~ v13_lattices(X271)
| v3_struct_0(X271)
| ~ v10_lattices(X271)
| ~ l3_lattices(X271) )
& ( r1_tarski(X272,esk28_2(X271,X272))
| X272 = u1_struct_0(X271)
| ~ m1_filter_0(X272,X271)
| ~ v13_lattices(X271)
| v3_struct_0(X271)
| ~ v10_lattices(X271)
| ~ l3_lattices(X271) )
& ( v1_filter_0(esk28_2(X271,X272),X271)
| X272 = u1_struct_0(X271)
| ~ m1_filter_0(X272,X271)
| ~ v13_lattices(X271)
| v3_struct_0(X271)
| ~ v10_lattices(X271)
| ~ l3_lattices(X271) ) ),
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_55])])])])]) ).
cnf(c_0_62,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_63,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,plain,
( v13_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
cnf(c_0_67,plain,
( m1_filter_0(esk28_2(X1,X2),X1)
| X2 = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_33])]) ).
cnf(c_0_69,negated_conjecture,
v13_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_71,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_72,plain,
! [X185,X186] :
( ( ~ v1_xboole_0(X186)
| ~ m1_filter_0(X186,X185)
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) )
& ( m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| ~ m1_filter_0(X186,X185)
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
cnf(c_0_73,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_58])]) ).
fof(c_0_74,plain,
! [X173,X174] :
( v3_struct_0(X173)
| ~ v10_lattices(X173)
| ~ l3_lattices(X173)
| ~ m1_filter_0(X174,k1_lattice2(X173))
| m2_filter_2(k14_filter_2(X173,X174),X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).
fof(c_0_75,plain,
! [X259,X260] :
( v3_struct_0(X259)
| ~ v10_lattices(X259)
| ~ l3_lattices(X259)
| ~ m1_filter_0(X260,k1_lattice2(X259))
| k14_filter_2(X259,X260) = k8_filter_2(X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])]) ).
fof(c_0_76,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
cnf(c_0_77,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_63]),c_0_33])]) ).
cnf(c_0_79,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,plain,
( v3_struct_0(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_81,plain,
! [X168,X169] :
( v3_struct_0(X168)
| ~ v10_lattices(X168)
| ~ l3_lattices(X168)
| ~ m1_subset_1(X169,k1_zfmisc_1(u1_struct_0(k1_lattice2(X168))))
| k8_filter_2(X168,X169) = X169 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_82,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_58])]) ).
cnf(c_0_83,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_84,negated_conjecture,
( k14_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_85,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_63]),c_0_33])]) ).
cnf(c_0_87,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( k8_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_89,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m2_filter_2(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m2_lattice4(esk28_2(k1_lattice2(esk1_0),esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_89]),c_0_33]),c_0_34])]),c_0_35]) ).
fof(c_0_91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_92,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| m1_subset_1(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_90]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_93,plain,
( v1_filter_0(esk28_2(X1,X2),X1)
| X2 = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_94,plain,
! [X265,X266,X267] :
( ( ~ m2_relset_1(X267,X265,X266)
| m1_relset_1(X267,X265,X266) )
& ( ~ m1_relset_1(X267,X265,X266)
| m2_relset_1(X267,X265,X266) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_95,plain,
! [X196] :
( ( v1_funct_1(u1_lattices(X196))
| ~ l1_lattices(X196) )
& ( v1_funct_2(u1_lattices(X196),k2_zfmisc_1(u1_struct_0(X196),u1_struct_0(X196)),u1_struct_0(X196))
| ~ l1_lattices(X196) )
& ( m2_relset_1(u1_lattices(X196),k2_zfmisc_1(u1_struct_0(X196),u1_struct_0(X196)),u1_struct_0(X196))
| ~ l1_lattices(X196) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
fof(c_0_96,plain,
! [X276,X277] :
( ( ~ r2_filter_2(X276,X277)
| v1_filter_0(k15_filter_2(X276,X277),k1_lattice2(X276))
| ~ m2_filter_2(X277,X276)
| v3_struct_0(X276)
| ~ v10_lattices(X276)
| ~ l3_lattices(X276) )
& ( ~ v1_filter_0(k15_filter_2(X276,X277),k1_lattice2(X276))
| r2_filter_2(X276,X277)
| ~ m2_filter_2(X277,X276)
| v3_struct_0(X276)
| ~ v10_lattices(X276)
| ~ l3_lattices(X276) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).
cnf(c_0_97,negated_conjecture,
( k7_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(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_92]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_98,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_68]),c_0_69]),c_0_58])]) ).
cnf(c_0_99,plain,
( r1_tarski(X1,esk28_2(X2,X1))
| X1 = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v13_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_100,plain,
! [X235,X236,X237,X238,X239,X240] :
( ( X235 = X238
| g3_lattices(X235,X236,X237) != g3_lattices(X238,X239,X240)
| ~ v1_funct_1(X236)
| ~ v1_funct_2(X236,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X236,k2_zfmisc_1(X235,X235),X235)
| ~ v1_funct_1(X237)
| ~ v1_funct_2(X237,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X237,k2_zfmisc_1(X235,X235),X235) )
& ( X236 = X239
| g3_lattices(X235,X236,X237) != g3_lattices(X238,X239,X240)
| ~ v1_funct_1(X236)
| ~ v1_funct_2(X236,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X236,k2_zfmisc_1(X235,X235),X235)
| ~ v1_funct_1(X237)
| ~ v1_funct_2(X237,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X237,k2_zfmisc_1(X235,X235),X235) )
& ( X237 = X240
| g3_lattices(X235,X236,X237) != g3_lattices(X238,X239,X240)
| ~ v1_funct_1(X236)
| ~ v1_funct_2(X236,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X236,k2_zfmisc_1(X235,X235),X235)
| ~ v1_funct_1(X237)
| ~ v1_funct_2(X237,k2_zfmisc_1(X235,X235),X235)
| ~ m1_relset_1(X237,k2_zfmisc_1(X235,X235),X235) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_101,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
fof(c_0_103,plain,
! [X197] :
( ( v1_funct_1(u2_lattices(X197))
| ~ l2_lattices(X197) )
& ( v1_funct_2(u2_lattices(X197),k2_zfmisc_1(u1_struct_0(X197),u1_struct_0(X197)),u1_struct_0(X197))
| ~ l2_lattices(X197) )
& ( m2_relset_1(u2_lattices(X197),k2_zfmisc_1(u1_struct_0(X197),u1_struct_0(X197)),u1_struct_0(X197))
| ~ l2_lattices(X197) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_104,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_105,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_106,negated_conjecture,
( k15_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0)) = esk28_2(k1_lattice2(esk1_0),esk2_0)
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[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_97]),c_0_33]),c_0_34])]),c_0_35]),c_0_89]) ).
cnf(c_0_107,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk28_2(k1_lattice2(esk1_0),esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_63]),c_0_33])]) ).
cnf(c_0_108,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r1_tarski(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_68]),c_0_69]),c_0_58])]) ).
cnf(c_0_109,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_110,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_112,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_113,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
fof(c_0_114,plain,
! [X220] :
( ( ~ v3_struct_0(k1_lattice2(X220))
| v3_struct_0(X220)
| ~ l3_lattices(X220) )
& ( v3_lattices(k1_lattice2(X220))
| v3_struct_0(X220)
| ~ l3_lattices(X220) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])]) ).
cnf(c_0_115,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r1_tarski(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_116,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_33]),c_0_34])]),c_0_35]),c_0_89]),c_0_107]) ).
cnf(c_0_117,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r1_tarski(esk2_0,esk28_2(k1_lattice2(esk1_0),esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_63]),c_0_33])]) ).
cnf(c_0_118,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ l1_lattices(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_119,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_113]) ).
cnf(c_0_120,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_121,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_122,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_123,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_89]),c_0_117]) ).
cnf(c_0_124,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]) ).
cnf(c_0_125,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_33])]),c_0_35]) ).
fof(c_0_126,plain,
! [X165] :
( ~ l3_lattices(X165)
| k1_lattice2(X165) = g3_lattices(u1_struct_0(X165),u1_lattices(X165),u2_lattices(X165)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
fof(c_0_127,plain,
! [X153] :
( ~ l3_lattices(X153)
| ~ v3_lattices(X153)
| X153 = g3_lattices(u1_struct_0(X153),u2_lattices(X153),u1_lattices(X153)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_128,negated_conjecture,
( esk2_0 = X1
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_130,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
fof(c_0_131,plain,
! [X184] :
( ( l1_lattices(X184)
| ~ l3_lattices(X184) )
& ( l2_lattices(X184)
| ~ l3_lattices(X184) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_132,negated_conjecture,
( esk2_0 = u1_struct_0(X1)
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != k1_lattice2(X1)
| ~ l2_lattices(k1_lattice2(esk1_0))
| ~ l1_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0)
| ~ v3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_130,c_0_125]) ).
cnf(c_0_134,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_135,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_136,negated_conjecture,
( esk2_0 = u1_struct_0(X1)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ v3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_137,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_138,negated_conjecture,
( esk2_0 = u1_struct_0(X1)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ l3_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_33])]) ).
cnf(c_0_139,negated_conjecture,
( esk2_0 = u1_struct_0(X1)
| k1_lattice2(esk1_0) != k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_63]),c_0_33])]) ).
cnf(c_0_140,negated_conjecture,
esk2_0 != u1_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_139]),c_0_33])]),c_0_140]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT307+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 21:10:51 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 6.54/4.32 % Version : CSE_E---1.7
% 6.54/4.32 % Problem : theBenchmark.p
% 6.54/4.32 % SZS status Theorem for theBenchmark.p
% 6.54/4.32 % SZS output start CNFRefutation
% See solution above
% 6.54/4.33 % Total time : 3.374s
%------------------------------------------------------------------------------