%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT326+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 : n029.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 04:38:07 PM UTC 2026
% Result : Theorem 31.44s 18.65s
% Output : CNFRefutation 31.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 152 ( 40 unt; 0 def)
% Number of atoms : 855 ( 23 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 1122 ( 419 ~; 446 |; 190 &)
% ( 0 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 166 ( 2 sgn 88 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t62_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X3 = k1_realset1(u2_lattices(X1),X2)
& X4 = k1_realset1(u1_lattices(X1),X2) )
=> ( v1_binop_1(X3,X2)
& v2_binop_1(X3,X2)
& v1_binop_1(X4,X2)
& v2_binop_1(X4,X2)
& r1_lattice2(X2,X3,X4)
& r1_lattice2(X2,X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_filter_2) ).
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(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(t5_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r1_lattice2(X1,X3,X4) )
=> r1_lattice2(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_filter_2) ).
fof(t1_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) )
=> ( X4 = k1_realset1(X3,X2)
=> ( ( v1_binop_1(X3,X1)
=> v1_binop_1(X4,X2) )
& ( v3_binop_1(X3,X1)
=> v3_binop_1(X4,X2) )
& ( v2_binop_1(X3,X1)
=> v2_binop_1(X4,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_2) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
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(fc4_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(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',fc4_lattice2) ).
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(fc2_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(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',fc2_lattice2) ).
fof(t40_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lattice2) ).
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(fc5_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(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',fc5_lattice2) ).
fof(fc3_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(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',fc3_lattice2) ).
fof(t41_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattice2) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X3 = k1_realset1(u2_lattices(X1),X2)
& X4 = k1_realset1(u1_lattices(X1),X2) )
=> ( v1_binop_1(X3,X2)
& v2_binop_1(X3,X2)
& v1_binop_1(X4,X2)
& v2_binop_1(X4,X2)
& r1_lattice2(X2,X3,X4)
& r1_lattice2(X2,X4,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t62_filter_2])]) ).
fof(c_0_20,plain,
! [X129] :
( ( l1_lattices(X129)
| ~ l3_lattices(X129) )
& ( l2_lattices(X129)
| ~ l3_lattices(X129) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_21,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v1_xboole_0(esk2_0)
& m2_lattice4(esk2_0,esk1_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& esk3_0 = k1_realset1(u2_lattices(esk1_0),esk2_0)
& esk4_0 = k1_realset1(u1_lattices(esk1_0),esk2_0)
& ( ~ v1_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(c_0_23,plain,
! [X128] :
( ~ l2_lattices(X128)
| l1_struct_0(X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])]) ).
cnf(c_0_24,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2) )
=> ( ( X5 = k1_realset1(X3,X2)
& X6 = k1_realset1(X4,X2)
& r1_lattice2(X1,X3,X4) )
=> r1_lattice2(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_filter_2]) ).
fof(c_0_27,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2) )
=> ( X4 = k1_realset1(X3,X2)
=> ( ( v1_binop_1(X3,X1)
=> v1_binop_1(X4,X2) )
& ( v3_binop_1(X3,X1)
=> v3_binop_1(X4,X2) )
& ( v2_binop_1(X3,X1)
=> v2_binop_1(X4,X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t1_filter_2]) ).
fof(c_0_28,plain,
! [X177] :
( ( m1_subset_1(esk22_1(X177),k1_zfmisc_1(u1_struct_0(X177)))
| v3_struct_0(X177)
| ~ l1_struct_0(X177) )
& ( ~ v1_xboole_0(esk22_1(X177))
| v3_struct_0(X177)
| ~ l1_struct_0(X177) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_29,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_31,plain,
! [X198,X199,X200,X201,X202,X203] :
( v1_xboole_0(X198)
| v1_xboole_0(X199)
| ~ m1_subset_1(X199,k1_zfmisc_1(X198))
| ~ v1_funct_1(X200)
| ~ v1_funct_2(X200,k2_zfmisc_1(X198,X198),X198)
| ~ m2_relset_1(X200,k2_zfmisc_1(X198,X198),X198)
| ~ v1_funct_1(X201)
| ~ v1_funct_2(X201,k2_zfmisc_1(X198,X198),X198)
| ~ m2_relset_1(X201,k2_zfmisc_1(X198,X198),X198)
| ~ v1_funct_1(X202)
| ~ v1_funct_2(X202,k2_zfmisc_1(X199,X199),X199)
| ~ m2_relset_1(X202,k2_zfmisc_1(X199,X199),X199)
| ~ v1_funct_1(X203)
| ~ v1_funct_2(X203,k2_zfmisc_1(X199,X199),X199)
| ~ m2_relset_1(X203,k2_zfmisc_1(X199,X199),X199)
| X202 != k1_realset1(X200,X199)
| X203 != k1_realset1(X201,X199)
| ~ r1_lattice2(X198,X200,X201)
| r1_lattice2(X199,X202,X203) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
fof(c_0_32,plain,
! [X183,X184,X185,X186] :
( ( ~ v1_binop_1(X185,X183)
| v1_binop_1(X186,X184)
| X186 != k1_realset1(X185,X184)
| ~ v1_funct_1(X186)
| ~ v1_funct_2(X186,k2_zfmisc_1(X184,X184),X184)
| ~ m2_relset_1(X186,k2_zfmisc_1(X184,X184),X184)
| ~ v1_funct_1(X185)
| ~ v1_funct_2(X185,k2_zfmisc_1(X183,X183),X183)
| ~ m2_relset_1(X185,k2_zfmisc_1(X183,X183),X183)
| v1_xboole_0(X184)
| ~ m1_subset_1(X184,k1_zfmisc_1(X183))
| v1_xboole_0(X183) )
& ( ~ v3_binop_1(X185,X183)
| v3_binop_1(X186,X184)
| X186 != k1_realset1(X185,X184)
| ~ v1_funct_1(X186)
| ~ v1_funct_2(X186,k2_zfmisc_1(X184,X184),X184)
| ~ m2_relset_1(X186,k2_zfmisc_1(X184,X184),X184)
| ~ v1_funct_1(X185)
| ~ v1_funct_2(X185,k2_zfmisc_1(X183,X183),X183)
| ~ m2_relset_1(X185,k2_zfmisc_1(X183,X183),X183)
| v1_xboole_0(X184)
| ~ m1_subset_1(X184,k1_zfmisc_1(X183))
| v1_xboole_0(X183) )
& ( ~ v2_binop_1(X185,X183)
| v2_binop_1(X186,X184)
| X186 != k1_realset1(X185,X184)
| ~ v1_funct_1(X186)
| ~ v1_funct_2(X186,k2_zfmisc_1(X184,X184),X184)
| ~ m2_relset_1(X186,k2_zfmisc_1(X184,X184),X184)
| ~ v1_funct_1(X185)
| ~ v1_funct_2(X185,k2_zfmisc_1(X183,X183),X183)
| ~ m2_relset_1(X185,k2_zfmisc_1(X183,X183),X183)
| v1_xboole_0(X184)
| ~ m1_subset_1(X184,k1_zfmisc_1(X183))
| v1_xboole_0(X183) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_33,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_34,plain,
! [X204,X205,X206] :
( ~ r2_hidden(X204,X205)
| ~ m1_subset_1(X205,k1_zfmisc_1(X206))
| ~ v1_xboole_0(X206) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_35,plain,
( m1_subset_1(esk22_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_38,plain,
! [X189,X190] :
( ~ m1_subset_1(X189,X190)
| v1_xboole_0(X190)
| r2_hidden(X189,X190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_39,plain,
! [X144] : m1_subset_1(esk10_1(X144),X144),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_40,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| r1_lattice2(X2,X5,X6)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
| X5 != k1_realset1(X3,X2)
| X6 != k1_realset1(X4,X2)
| ~ r1_lattice2(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( v1_binop_1(X3,X4)
| v1_xboole_0(X4)
| v1_xboole_0(X2)
| ~ v1_binop_1(X1,X2)
| X3 != k1_realset1(X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_42,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_43,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lattice2]) ).
fof(c_0_44,plain,
! [X117] :
( ( ~ v3_struct_0(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v4_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v5_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v6_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v7_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v8_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) )
& ( v9_lattices(X117)
| v3_struct_0(X117)
| ~ v10_lattices(X117)
| ~ l3_lattices(X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_45,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
m1_subset_1(esk22_1(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_47,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
( r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(X4))
| ~ r1_lattice2(X4,X2,X3)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X2,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_50,negated_conjecture,
esk4_0 = k1_realset1(u1_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_51,negated_conjecture,
m2_relset_1(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_52,negated_conjecture,
v1_funct_2(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_54,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_55,plain,
! [X135] :
( ( v1_funct_1(u1_lattices(X135))
| ~ l1_lattices(X135) )
& ( v1_funct_2(u1_lattices(X135),k2_zfmisc_1(u1_struct_0(X135),u1_struct_0(X135)),u1_struct_0(X135))
| ~ l1_lattices(X135) )
& ( m2_relset_1(u1_lattices(X135),k2_zfmisc_1(u1_struct_0(X135),u1_struct_0(X135)),u1_struct_0(X135))
| ~ l1_lattices(X135) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_56,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_57,plain,
( v1_binop_1(k1_realset1(X1,X2),X2)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_binop_1(X1,X3)
| ~ m2_relset_1(k1_realset1(X1,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(k1_realset1(X1,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(k1_realset1(X1,X2))
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_41]) ).
fof(c_0_58,plain,
! [X130,X131] :
( v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130)
| ~ m2_lattice4(X131,X130)
| m1_subset_1(X131,k1_zfmisc_1(u1_struct_0(X130))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
fof(c_0_59,plain,
! [X161] :
( ( v1_relat_1(u1_lattices(X161))
| v3_struct_0(X161)
| ~ v6_lattices(X161)
| ~ l1_lattices(X161) )
& ( v1_funct_1(u1_lattices(X161))
| v3_struct_0(X161)
| ~ v6_lattices(X161)
| ~ l1_lattices(X161) )
& ( v1_funct_2(u1_lattices(X161),k2_zfmisc_1(u1_struct_0(X161),u1_struct_0(X161)),u1_struct_0(X161))
| v3_struct_0(X161)
| ~ v6_lattices(X161)
| ~ l1_lattices(X161) )
& ( v1_binop_1(u1_lattices(X161),u1_struct_0(X161))
| v3_struct_0(X161)
| ~ v6_lattices(X161)
| ~ l1_lattices(X161) )
& ( v1_partfun1(u1_lattices(X161),k2_zfmisc_1(u1_struct_0(X161),u1_struct_0(X161)),u1_struct_0(X161))
| v3_struct_0(X161)
| ~ v6_lattices(X161)
| ~ l1_lattices(X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
cnf(c_0_60,plain,
( v6_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_61,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_62,negated_conjecture,
( ~ r2_hidden(X1,esk22_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_63,plain,
( r2_hidden(esk10_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_64,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_lattice2]) ).
cnf(c_0_65,negated_conjecture,
( r1_lattice2(esk2_0,k1_realset1(X1,esk2_0),esk4_0)
| v1_xboole_0(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ r1_lattice2(X2,X1,u1_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(X1) ),
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_51]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_66,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_56,c_0_25]) ).
fof(c_0_68,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(fof_simplification,[status(thm)],[t40_lattice2]) ).
cnf(c_0_69,negated_conjecture,
( v1_binop_1(esk4_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(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_57,c_0_50]),c_0_51]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_70,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_58]) ).
cnf(c_0_71,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_72,plain,
( v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_73,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk22_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_75,negated_conjecture,
( v1_xboole_0(esk22_1(esk1_0))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_76,negated_conjecture,
esk3_0 = k1_realset1(u2_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77,negated_conjecture,
m2_relset_1(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_78,negated_conjecture,
v1_funct_2(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_79,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_80,plain,
! [X136] :
( ( v1_funct_1(u2_lattices(X136))
| ~ l2_lattices(X136) )
& ( v1_funct_2(u2_lattices(X136),k2_zfmisc_1(u1_struct_0(X136),u1_struct_0(X136)),u1_struct_0(X136))
| ~ l2_lattices(X136) )
& ( m2_relset_1(u2_lattices(X136),k2_zfmisc_1(u1_struct_0(X136),u1_struct_0(X136)),u1_struct_0(X136))
| ~ l2_lattices(X136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_81,plain,
! [X155] :
( ( v1_relat_1(u2_lattices(X155))
| v3_struct_0(X155)
| ~ v4_lattices(X155)
| ~ l2_lattices(X155) )
& ( v1_funct_1(u2_lattices(X155))
| v3_struct_0(X155)
| ~ v4_lattices(X155)
| ~ l2_lattices(X155) )
& ( v1_funct_2(u2_lattices(X155),k2_zfmisc_1(u1_struct_0(X155),u1_struct_0(X155)),u1_struct_0(X155))
| v3_struct_0(X155)
| ~ v4_lattices(X155)
| ~ l2_lattices(X155) )
& ( v1_binop_1(u2_lattices(X155),u1_struct_0(X155))
| v3_struct_0(X155)
| ~ v4_lattices(X155)
| ~ l2_lattices(X155) )
& ( v1_partfun1(u2_lattices(X155),k2_zfmisc_1(u1_struct_0(X155),u1_struct_0(X155)),u1_struct_0(X155))
| v3_struct_0(X155)
| ~ v4_lattices(X155)
| ~ l2_lattices(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_82,plain,
( v4_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_83,plain,
( v2_binop_1(X3,X4)
| v1_xboole_0(X4)
| v1_xboole_0(X2)
| ~ v2_binop_1(X1,X2)
| X3 != k1_realset1(X1,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_84,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v7_lattices(X1)
& l1_lattices(X1) )
=> ( v1_relat_1(u1_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))
& v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_lattice2]) ).
cnf(c_0_85,negated_conjecture,
( r1_lattice2(esk2_0,k1_realset1(X1,esk2_0),esk4_0)
| v1_xboole_0(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ r1_lattice2(X2,X1,u1_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
fof(c_0_86,plain,
! [X193] :
( v3_struct_0(X193)
| ~ v10_lattices(X193)
| ~ l3_lattices(X193)
| r1_lattice2(u1_struct_0(X193),u2_lattices(X193),u1_lattices(X193)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
cnf(c_0_87,negated_conjecture,
( v1_binop_1(esk4_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_66]),c_0_67])]) ).
cnf(c_0_88,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_55]) ).
cnf(c_0_89,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_70,c_0_71]),c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_90,negated_conjecture,
v1_binop_1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_73])]),c_0_37]) ).
cnf(c_0_91,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_36])]),c_0_37]) ).
cnf(c_0_92,negated_conjecture,
( v1_binop_1(esk3_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(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_57,c_0_76]),c_0_77]),c_0_78]),c_0_79])]),c_0_54]) ).
cnf(c_0_93,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_94,plain,
( v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_95,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_96,plain,
( v2_binop_1(k1_realset1(X1,X2),X2)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v2_binop_1(X1,X3)
| ~ m2_relset_1(k1_realset1(X1,X2),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(k1_realset1(X1,X2),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(k1_realset1(X1,X2))
| ~ v1_funct_1(X1) ),
inference(er,[status(thm)],[c_0_83]) ).
fof(c_0_97,plain,
! [X164] :
( ( v1_relat_1(u1_lattices(X164))
| v3_struct_0(X164)
| ~ v7_lattices(X164)
| ~ l1_lattices(X164) )
& ( v1_funct_1(u1_lattices(X164))
| v3_struct_0(X164)
| ~ v7_lattices(X164)
| ~ l1_lattices(X164) )
& ( v1_funct_2(u1_lattices(X164),k2_zfmisc_1(u1_struct_0(X164),u1_struct_0(X164)),u1_struct_0(X164))
| v3_struct_0(X164)
| ~ v7_lattices(X164)
| ~ l1_lattices(X164) )
& ( v2_binop_1(u1_lattices(X164),u1_struct_0(X164))
| v3_struct_0(X164)
| ~ v7_lattices(X164)
| ~ l1_lattices(X164) )
& ( v1_partfun1(u1_lattices(X164),k2_zfmisc_1(u1_struct_0(X164),u1_struct_0(X164)),u1_struct_0(X164))
| v3_struct_0(X164)
| ~ v7_lattices(X164)
| ~ l1_lattices(X164) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])]) ).
cnf(c_0_98,plain,
( v7_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_99,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v5_lattices(X1)
& l2_lattices(X1) )
=> ( v1_relat_1(u2_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))
& v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
& v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc3_lattice2]) ).
cnf(c_0_100,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_76]),c_0_77]),c_0_78]),c_0_79])]) ).
cnf(c_0_101,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_102,negated_conjecture,
( v1_binop_1(esk4_0,esk2_0)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(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_87,c_0_88]),c_0_89]),c_0_90]),c_0_67])]),c_0_91]) ).
cnf(c_0_103,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_55]) ).
cnf(c_0_104,negated_conjecture,
( v1_binop_1(esk3_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v1_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_30])]) ).
cnf(c_0_105,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_80]) ).
cnf(c_0_106,negated_conjecture,
v1_binop_1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_30]),c_0_95])]),c_0_37]) ).
cnf(c_0_107,negated_conjecture,
( v2_binop_1(esk4_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(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_96,c_0_50]),c_0_51]),c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_108,plain,
( v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v7_lattices(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_109,negated_conjecture,
v7_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_25]),c_0_61])]),c_0_37]) ).
fof(c_0_110,plain,
! [X158] :
( ( v1_relat_1(u2_lattices(X158))
| v3_struct_0(X158)
| ~ v5_lattices(X158)
| ~ l2_lattices(X158) )
& ( v1_funct_1(u2_lattices(X158))
| v3_struct_0(X158)
| ~ v5_lattices(X158)
| ~ l2_lattices(X158) )
& ( v1_funct_2(u2_lattices(X158),k2_zfmisc_1(u1_struct_0(X158),u1_struct_0(X158)),u1_struct_0(X158))
| v3_struct_0(X158)
| ~ v5_lattices(X158)
| ~ l2_lattices(X158) )
& ( v2_binop_1(u2_lattices(X158),u1_struct_0(X158))
| v3_struct_0(X158)
| ~ v5_lattices(X158)
| ~ l2_lattices(X158) )
& ( v1_partfun1(u2_lattices(X158),k2_zfmisc_1(u1_struct_0(X158),u1_struct_0(X158)),u1_struct_0(X158))
| v3_struct_0(X158)
| ~ v5_lattices(X158)
| ~ l2_lattices(X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])])]) ).
cnf(c_0_111,plain,
( v5_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_112,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_30])]) ).
cnf(c_0_113,negated_conjecture,
r1_lattice2(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_114,negated_conjecture,
( ~ v1_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_115,negated_conjecture,
v1_binop_1(esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_67])]) ).
cnf(c_0_116,negated_conjecture,
( v1_binop_1(esk3_0,esk2_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(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_104,c_0_105]),c_0_89]),c_0_106]),c_0_30])]),c_0_91]) ).
cnf(c_0_117,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_80]) ).
cnf(c_0_118,negated_conjecture,
( v2_binop_1(esk4_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u1_lattices(esk1_0),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_66]),c_0_67])]) ).
cnf(c_0_119,negated_conjecture,
v2_binop_1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_67]),c_0_109])]),c_0_37]) ).
cnf(c_0_120,negated_conjecture,
( v2_binop_1(esk3_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(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_96,c_0_76]),c_0_77]),c_0_78]),c_0_79])]),c_0_54]) ).
cnf(c_0_121,plain,
( v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v5_lattices(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_122,negated_conjecture,
v5_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_123,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_89])]),c_0_91]) ).
cnf(c_0_124,negated_conjecture,
( ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ v1_binop_1(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_125,negated_conjecture,
v1_binop_1(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_30])]) ).
cnf(c_0_126,negated_conjecture,
( v2_binop_1(esk4_0,esk2_0)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(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_118,c_0_88]),c_0_89]),c_0_119]),c_0_67])]),c_0_91]) ).
cnf(c_0_127,negated_conjecture,
( v2_binop_1(esk3_0,esk2_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ v2_binop_1(u2_lattices(esk1_0),X1)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_93]),c_0_30])]) ).
cnf(c_0_128,negated_conjecture,
v2_binop_1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_30]),c_0_122])]),c_0_37]) ).
cnf(c_0_129,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_103]),c_0_67])]) ).
cnf(c_0_130,negated_conjecture,
( ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v2_binop_1(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_131,negated_conjecture,
v2_binop_1(esk4_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_103]),c_0_67])]) ).
cnf(c_0_132,negated_conjecture,
( v2_binop_1(esk3_0,esk2_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(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_127,c_0_105]),c_0_89]),c_0_128]),c_0_30])]),c_0_91]) ).
cnf(c_0_133,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_117]),c_0_30])]) ).
cnf(c_0_134,negated_conjecture,
( r1_lattice2(esk2_0,k1_realset1(X1,esk2_0),esk3_0)
| v1_xboole_0(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ r1_lattice2(X2,X1,u2_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(X1) ),
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_76]),c_0_77]),c_0_78]),c_0_79])]),c_0_54]) ).
cnf(c_0_135,negated_conjecture,
( ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ v2_binop_1(esk3_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_136,negated_conjecture,
v2_binop_1(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_117]),c_0_30])]) ).
cnf(c_0_137,negated_conjecture,
( r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_88]),c_0_67])]) ).
fof(c_0_138,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(fof_simplification,[status(thm)],[t41_lattice2]) ).
cnf(c_0_139,negated_conjecture,
( r1_lattice2(esk2_0,k1_realset1(X1,esk2_0),esk3_0)
| v1_xboole_0(X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| ~ r1_lattice2(X2,X1,u2_lattices(esk1_0))
| ~ m2_relset_1(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(k1_realset1(X1,esk2_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(k1_realset1(X1,esk2_0))
| ~ v1_funct_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_93]),c_0_30])]) ).
cnf(c_0_140,negated_conjecture,
( ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_141,negated_conjecture,
r1_lattice2(esk2_0,esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_105]),c_0_30])]) ).
fof(c_0_142,plain,
! [X194] :
( v3_struct_0(X194)
| ~ v10_lattices(X194)
| ~ l3_lattices(X194)
| r1_lattice2(u1_struct_0(X194),u1_lattices(X194),u2_lattices(X194)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])]) ).
cnf(c_0_143,negated_conjecture,
( r1_lattice2(esk2_0,esk4_0,esk3_0)
| v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u1_lattices(esk1_0),u2_lattices(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_50]),c_0_51]),c_0_52]),c_0_53])]) ).
cnf(c_0_144,negated_conjecture,
~ r1_lattice2(esk2_0,esk4_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_145,plain,
( v3_struct_0(X1)
| r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( v1_xboole_0(X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| ~ r1_lattice2(X1,u1_lattices(esk1_0),u2_lattices(esk1_0))
| ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_66]),c_0_67])]),c_0_144]) ).
cnf(c_0_147,negated_conjecture,
r1_lattice2(u1_struct_0(esk1_0),u1_lattices(esk1_0),u2_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_25]),c_0_61])]),c_0_37]) ).
cnf(c_0_148,negated_conjecture,
( ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(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_146,c_0_103]),c_0_89]),c_0_147]),c_0_67])]),c_0_91]) ).
cnf(c_0_149,negated_conjecture,
( ~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_117]),c_0_30])]) ).
cnf(c_0_150,negated_conjecture,
~ m2_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_88]),c_0_67])]) ).
cnf(c_0_151,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_105]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT326+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
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 21:18:44 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 31.44/18.65 % Version : CSE_E---1.7
% 31.44/18.65 % Problem : theBenchmark.p
% 31.44/18.65 % SZS status Theorem for theBenchmark.p
% 31.44/18.65 % SZS output start CNFRefutation
% See solution above
% 31.55/18.75 % Total time : 14.391s
%------------------------------------------------------------------------------