%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:55 PM UTC 2026
% Result : Theorem 2.06s 0.74s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 127 ( 27 unt; 0 def)
% Number of atoms : 801 ( 49 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 1052 ( 378 ~; 405 |; 198 &)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t62_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) )
=> ( ( X4 = k1_realset1(u1_lattices(X1),X2)
& X3 = k1_realset1(u2_lattices(X1),X2) )
=> ( r1_lattice2(X2,X4,X3)
& r1_lattice2(X2,X3,X4)
& v2_binop_1(X4,X2)
& v1_binop_1(X4,X2)
& v2_binop_1(X3,X2)
& v1_binop_1(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_filter_2) ).
fof(t5_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( r1_lattice2(X1,X3,X4)
& X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> r1_lattice2(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(t1_filter_2,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) )
=> ( X4 = k1_realset1(X3,X2)
=> ( ( v2_binop_1(X3,X1)
=> v2_binop_1(X4,X2) )
& ( v3_binop_1(X3,X1)
=> v3_binop_1(X4,X2) )
& ( v1_binop_1(X3,X1)
=> v1_binop_1(X4,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_filter_2) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(fc4_lattice2,axiom,
! [X1] :
( ( l1_lattices(X1)
& v6_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1))
& v1_relat_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(fc2_lattice2,axiom,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(fc5_lattice2,axiom,
! [X1] :
( ( l1_lattices(X1)
& v7_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1))
& v1_relat_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(fc3_lattice2,axiom,
! [X1] :
( ( l2_lattices(X1)
& v5_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(t41_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_lattice2) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(t40_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_lattice2) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) )
=> ( ( X4 = k1_realset1(u1_lattices(X1),X2)
& X3 = k1_realset1(u2_lattices(X1),X2) )
=> ( r1_lattice2(X2,X4,X3)
& r1_lattice2(X2,X3,X4)
& v2_binop_1(X4,X2)
& v1_binop_1(X4,X2)
& v2_binop_1(X3,X2)
& v1_binop_1(X3,X2) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t62_filter_2]) ).
fof(c_0_17,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X6) )
=> ( ( r1_lattice2(X1,X3,X4)
& X6 = k1_realset1(X4,X2)
& X5 = k1_realset1(X3,X2) )
=> r1_lattice2(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_filter_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) )
=> ( ( X4 = k1_realset1(u1_lattices(X1),X2)
& X3 = k1_realset1(u2_lattices(X1),X2) )
=> ( r1_lattice2(X2,X4,X3)
& r1_lattice2(X2,X3,X4)
& v2_binop_1(X4,X2)
& v1_binop_1(X4,X2)
& v2_binop_1(X3,X2)
& v1_binop_1(X3,X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_19,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_20,plain,
! [X95,X96,X97,X98,X99,X100] :
( r1_lattice2(X96,X99,X100)
| ~ r1_lattice2(X95,X97,X98)
| X100 != k1_realset1(X98,X96)
| X99 != k1_realset1(X97,X96)
| ~ m2_relset_1(X100,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X100,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X100)
| ~ m2_relset_1(X99,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X99,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X99)
| ~ m2_relset_1(X98,k2_zfmisc_1(X95,X95),X95)
| ~ v1_funct_2(X98,k2_zfmisc_1(X95,X95),X95)
| ~ v1_funct_1(X98)
| ~ m2_relset_1(X97,k2_zfmisc_1(X95,X95),X95)
| ~ v1_funct_2(X97,k2_zfmisc_1(X95,X95),X95)
| ~ v1_funct_1(X97)
| ~ m1_subset_1(X96,k1_zfmisc_1(X95))
| v1_xboole_0(X96)
| v1_xboole_0(X95) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_21,negated_conjecture,
( ( ~ r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk3_0,esk2_0) )
& esk4_0 = k1_realset1(u1_lattices(esk1_0),esk2_0)
& esk3_0 = k1_realset1(u2_lattices(esk1_0),esk2_0)
& m2_relset_1(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_2(esk4_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk4_0)
& m2_relset_1(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_2(esk3_0,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
& v1_funct_1(esk3_0)
& m2_lattice4(esk2_0,esk1_0)
& ~ v1_xboole_0(esk2_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_22,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) )
=> ( X4 = k1_realset1(X3,X2)
=> ( ( v2_binop_1(X3,X1)
=> v2_binop_1(X4,X2) )
& ( v3_binop_1(X3,X1)
=> v3_binop_1(X4,X2) )
& ( v1_binop_1(X3,X1)
=> v1_binop_1(X4,X2) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t1_filter_2]) ).
fof(c_0_23,plain,
! [X50] :
( ~ v1_xboole_0(u1_struct_0(X50))
| ~ l1_struct_0(X50)
| v3_struct_0(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_24,plain,
! [X24] :
( l1_struct_0(X24)
| ~ l1_lattices(X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
cnf(c_0_25,plain,
( ~ r1_lattice2(X1,X3,X4)
| X6 != k1_realset1(X4,X2)
| X5 != k1_realset1(X3,X2)
| ~ m2_relset_1(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X6,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_lattice2(X2,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,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_27,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_28,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_30,plain,
! [X80,X81,X82,X83] :
( ( v1_xboole_0(X80)
| ~ m1_subset_1(X81,k1_zfmisc_1(X80))
| v1_xboole_0(X81)
| ~ m2_relset_1(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_2(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_1(X82)
| ~ m2_relset_1(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_1(X83)
| X83 != k1_realset1(X82,X81)
| v2_binop_1(X83,X81)
| ~ v2_binop_1(X82,X80) )
& ( v1_xboole_0(X80)
| ~ m1_subset_1(X81,k1_zfmisc_1(X80))
| v1_xboole_0(X81)
| ~ m2_relset_1(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_2(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_1(X82)
| ~ m2_relset_1(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_1(X83)
| X83 != k1_realset1(X82,X81)
| v3_binop_1(X83,X81)
| ~ v3_binop_1(X82,X80) )
& ( v1_xboole_0(X80)
| ~ m1_subset_1(X81,k1_zfmisc_1(X80))
| v1_xboole_0(X81)
| ~ m2_relset_1(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_2(X82,k2_zfmisc_1(X80,X80),X80)
| ~ v1_funct_1(X82)
| ~ m2_relset_1(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)
| ~ v1_funct_1(X83)
| X83 != k1_realset1(X82,X81)
| v1_binop_1(X83,X81)
| ~ v1_binop_1(X82,X80) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).
fof(c_0_31,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
cnf(c_0_32,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_34,plain,
! [X26] :
( ( ~ l3_lattices(X26)
| l2_lattices(X26) )
& ( ~ l3_lattices(X26)
| l1_lattices(X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_35,plain,
! [X1] :
( ( l1_lattices(X1)
& v6_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1))
& v1_relat_1(u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lattice2]) ).
fof(c_0_36,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_37,plain,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_lattice2]) ).
fof(c_0_38,plain,
! [X1] :
( ( l1_lattices(X1)
& v7_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1))
& v1_relat_1(u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_lattice2]) ).
fof(c_0_39,plain,
! [X1] :
( ( l2_lattices(X1)
& v5_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(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_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1))
& v1_relat_1(u2_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc3_lattice2]) ).
cnf(c_0_40,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_41,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_42,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_43,negated_conjecture,
( ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r1_lattice2(X2,X4,X3)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| X1 != k1_realset1(X4,esk2_0)
| k1_realset1(X3,esk2_0) != esk3_0
| v1_xboole_0(X2)
| r1_lattice2(esk2_0,X1,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_44,plain,
! [X33] :
( ( ~ l2_lattices(X33)
| m2_relset_1(u2_lattices(X33),k2_zfmisc_1(u1_struct_0(X33),u1_struct_0(X33)),u1_struct_0(X33)) )
& ( ~ l2_lattices(X33)
| v1_funct_2(u2_lattices(X33),k2_zfmisc_1(u1_struct_0(X33),u1_struct_0(X33)),u1_struct_0(X33)) )
& ( ~ l2_lattices(X33)
| v1_funct_1(u2_lattices(X33)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
fof(c_0_45,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(fof_simplification,[status(thm)],[t41_lattice2]) ).
cnf(c_0_46,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| X3 != k1_realset1(X1,X4)
| ~ v1_binop_1(X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4)
| v1_binop_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_47,plain,
! [X32] :
( ( ~ l1_lattices(X32)
| m2_relset_1(u1_lattices(X32),k2_zfmisc_1(u1_struct_0(X32),u1_struct_0(X32)),u1_struct_0(X32)) )
& ( ~ l1_lattices(X32)
| v1_funct_2(u1_lattices(X32),k2_zfmisc_1(u1_struct_0(X32),u1_struct_0(X32)),u1_struct_0(X32)) )
& ( ~ l1_lattices(X32)
| v1_funct_1(u1_lattices(X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
fof(c_0_48,plain,
! [X27,X28] :
( m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X27)))
| ~ m2_lattice4(X28,X27)
| ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_49,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_50,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_51,plain,
! [X58] :
( ( ~ l1_lattices(X58)
| ~ v6_lattices(X58)
| v3_struct_0(X58)
| v1_partfun1(u1_lattices(X58),k2_zfmisc_1(u1_struct_0(X58),u1_struct_0(X58)),u1_struct_0(X58)) )
& ( ~ l1_lattices(X58)
| ~ v6_lattices(X58)
| v3_struct_0(X58)
| v1_binop_1(u1_lattices(X58),u1_struct_0(X58)) )
& ( ~ l1_lattices(X58)
| ~ v6_lattices(X58)
| v3_struct_0(X58)
| v1_funct_2(u1_lattices(X58),k2_zfmisc_1(u1_struct_0(X58),u1_struct_0(X58)),u1_struct_0(X58)) )
& ( ~ l1_lattices(X58)
| ~ v6_lattices(X58)
| v3_struct_0(X58)
| v1_funct_1(u1_lattices(X58)) )
& ( ~ l1_lattices(X58)
| ~ v6_lattices(X58)
| v3_struct_0(X58)
| v1_relat_1(u1_lattices(X58)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_52,plain,
! [X14] :
( ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v9_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v8_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v7_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v6_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v5_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v4_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ v3_struct_0(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_53,plain,
! [X52] :
( ( ~ l2_lattices(X52)
| ~ v4_lattices(X52)
| v3_struct_0(X52)
| v1_partfun1(u2_lattices(X52),k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52)),u1_struct_0(X52)) )
& ( ~ l2_lattices(X52)
| ~ v4_lattices(X52)
| v3_struct_0(X52)
| v1_binop_1(u2_lattices(X52),u1_struct_0(X52)) )
& ( ~ l2_lattices(X52)
| ~ v4_lattices(X52)
| v3_struct_0(X52)
| v1_funct_2(u2_lattices(X52),k2_zfmisc_1(u1_struct_0(X52),u1_struct_0(X52)),u1_struct_0(X52)) )
& ( ~ l2_lattices(X52)
| ~ v4_lattices(X52)
| v3_struct_0(X52)
| v1_funct_1(u2_lattices(X52)) )
& ( ~ l2_lattices(X52)
| ~ v4_lattices(X52)
| v3_struct_0(X52)
| v1_relat_1(u2_lattices(X52)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_54,plain,
! [X61] :
( ( ~ l1_lattices(X61)
| ~ v7_lattices(X61)
| v3_struct_0(X61)
| v1_partfun1(u1_lattices(X61),k2_zfmisc_1(u1_struct_0(X61),u1_struct_0(X61)),u1_struct_0(X61)) )
& ( ~ l1_lattices(X61)
| ~ v7_lattices(X61)
| v3_struct_0(X61)
| v2_binop_1(u1_lattices(X61),u1_struct_0(X61)) )
& ( ~ l1_lattices(X61)
| ~ v7_lattices(X61)
| v3_struct_0(X61)
| v1_funct_2(u1_lattices(X61),k2_zfmisc_1(u1_struct_0(X61),u1_struct_0(X61)),u1_struct_0(X61)) )
& ( ~ l1_lattices(X61)
| ~ v7_lattices(X61)
| v3_struct_0(X61)
| v1_funct_1(u1_lattices(X61)) )
& ( ~ l1_lattices(X61)
| ~ v7_lattices(X61)
| v3_struct_0(X61)
| v1_relat_1(u1_lattices(X61)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_55,plain,
! [X55] :
( ( ~ l2_lattices(X55)
| ~ v5_lattices(X55)
| v3_struct_0(X55)
| v1_partfun1(u2_lattices(X55),k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55)),u1_struct_0(X55)) )
& ( ~ l2_lattices(X55)
| ~ v5_lattices(X55)
| v3_struct_0(X55)
| v2_binop_1(u2_lattices(X55),u1_struct_0(X55)) )
& ( ~ l2_lattices(X55)
| ~ v5_lattices(X55)
| v3_struct_0(X55)
| v1_funct_2(u2_lattices(X55),k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55)),u1_struct_0(X55)) )
& ( ~ l2_lattices(X55)
| ~ v5_lattices(X55)
| v3_struct_0(X55)
| v1_funct_1(u2_lattices(X55)) )
& ( ~ l2_lattices(X55)
| ~ v5_lattices(X55)
| v3_struct_0(X55)
| v1_relat_1(u2_lattices(X55)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
cnf(c_0_56,negated_conjecture,
( ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X1,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ r1_lattice2(X2,X4,X3)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X2))
| X1 != k1_realset1(X4,esk2_0)
| k1_realset1(X3,esk2_0) != esk4_0
| v1_xboole_0(X2)
| r1_lattice2(esk2_0,X1,esk4_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_40]),c_0_41]),c_0_42])]),c_0_29]) ).
fof(c_0_57,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(fof_simplification,[status(thm)],[t40_lattice2]) ).
cnf(c_0_58,negated_conjecture,
( ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r1_lattice2(X1,X3,X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X3,esk2_0) != esk4_0
| k1_realset1(X2,esk2_0) != esk3_0
| v1_xboole_0(X1)
| r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_59,plain,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_61,plain,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_62,plain,
! [X91] :
( r1_lattice2(u1_struct_0(X91),u1_lattices(X91),u2_lattices(X91))
| ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_63,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X2,esk2_0) != esk4_0
| v1_xboole_0(X1)
| v1_binop_1(esk4_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_46,c_0_40]),c_0_41]),c_0_42])]),c_0_29]) ).
cnf(c_0_64,plain,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_68,negated_conjecture,
m2_lattice4(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_69,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_70,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_71,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_72,plain,
( ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_73,plain,
( ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_74,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_75,plain,
( ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_76,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_77,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_78,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X4,X4),X4)
| ~ v1_funct_1(X3)
| X3 != k1_realset1(X1,X4)
| ~ v2_binop_1(X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X4)
| v2_binop_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_79,plain,
( ~ l1_lattices(X1)
| ~ v7_lattices(X1)
| v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_80,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v7_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_81,plain,
( ~ l2_lattices(X1)
| ~ v5_lattices(X1)
| v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v5_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_83,negated_conjecture,
( ~ v1_funct_1(X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ r1_lattice2(X1,X3,X2)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X3,esk2_0) != esk3_0
| k1_realset1(X2,esk2_0) != esk4_0
| v1_xboole_0(X1)
| r1_lattice2(esk2_0,esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_26]),c_0_27]),c_0_28])]) ).
fof(c_0_84,plain,
! [X90] :
( r1_lattice2(u1_struct_0(X90),u2_lattices(X90),u1_lattices(X90))
| ~ l3_lattices(X90)
| ~ v10_lattices(X90)
| v3_struct_0(X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
cnf(c_0_85,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ r1_lattice2(u1_struct_0(X1),X2,u2_lattices(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l2_lattices(X1)
| k1_realset1(X2,esk2_0) != esk4_0
| k1_realset1(u2_lattices(X1),esk2_0) != esk3_0
| v1_xboole_0(u1_struct_0(X1))
| r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_86,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_87,negated_conjecture,
( ~ v1_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1)
| k1_realset1(u1_lattices(X1),esk2_0) != esk4_0
| v1_xboole_0(u1_struct_0(X1))
| v1_binop_1(esk4_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_88,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_67,c_0_68]),c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_89,negated_conjecture,
esk4_0 = k1_realset1(u1_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_90,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_69]),c_0_71]) ).
cnf(c_0_91,plain,
( ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| v1_binop_1(u1_lattices(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_50]) ).
cnf(c_0_92,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_93,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_binop_1(X2,X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X2,esk2_0) != esk3_0
| v1_xboole_0(X1)
| v1_binop_1(esk3_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_46,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_94,plain,
( ~ l3_lattices(X1)
| ~ v4_lattices(X1)
| v3_struct_0(X1)
| v1_binop_1(u2_lattices(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
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_77,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_96,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v2_binop_1(X2,X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X2,esk2_0) != esk4_0
| v1_xboole_0(X1)
| v2_binop_1(esk4_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_78,c_0_40]),c_0_41]),c_0_42])]),c_0_29]) ).
cnf(c_0_97,plain,
( ~ l3_lattices(X1)
| ~ v7_lattices(X1)
| v3_struct_0(X1)
| v2_binop_1(u1_lattices(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_50]) ).
cnf(c_0_98,negated_conjecture,
v7_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_99,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v2_binop_1(X2,X1)
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(X1))
| k1_realset1(X2,esk2_0) != esk3_0
| v1_xboole_0(X1)
| v2_binop_1(esk3_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_78,c_0_26]),c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_100,plain,
( ~ l3_lattices(X1)
| ~ v5_lattices(X1)
| v3_struct_0(X1)
| v2_binop_1(u2_lattices(X1),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
cnf(c_0_101,negated_conjecture,
v5_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_102,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m2_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ r1_lattice2(u1_struct_0(X1),X2,u1_lattices(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1)
| k1_realset1(X2,esk2_0) != esk3_0
| k1_realset1(u1_lattices(X1),esk2_0) != esk4_0
| v1_xboole_0(u1_struct_0(X1))
| r1_lattice2(esk2_0,esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_103,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_104,negated_conjecture,
( ~ r1_lattice2(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| k1_realset1(u1_lattices(X1),esk2_0) != esk4_0
| k1_realset1(u2_lattices(X1),esk2_0) != esk3_0
| v1_xboole_0(u1_struct_0(X1))
| r1_lattice2(esk2_0,esk4_0,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_105,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_86,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_106,negated_conjecture,
esk3_0 = k1_realset1(u2_lattices(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_107,negated_conjecture,
( ~ v1_binop_1(u1_lattices(esk1_0),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| v1_binop_1(esk4_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),c_0_90]) ).
cnf(c_0_108,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_91,c_0_92]),c_0_69])]),c_0_71]) ).
cnf(c_0_109,negated_conjecture,
( ~ v1_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l2_lattices(X1)
| k1_realset1(u2_lattices(X1),esk2_0) != esk3_0
| v1_xboole_0(u1_struct_0(X1))
| v1_binop_1(esk3_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_110,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_95]),c_0_69])]),c_0_71]) ).
cnf(c_0_111,negated_conjecture,
( ~ v2_binop_1(u1_lattices(X1),u1_struct_0(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1)
| k1_realset1(u1_lattices(X1),esk2_0) != esk4_0
| v1_xboole_0(u1_struct_0(X1))
| v2_binop_1(esk4_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_64]),c_0_65]),c_0_66]) ).
cnf(c_0_112,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_97,c_0_98]),c_0_69])]),c_0_71]) ).
cnf(c_0_113,negated_conjecture,
( ~ v2_binop_1(u2_lattices(X1),u1_struct_0(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l2_lattices(X1)
| k1_realset1(u2_lattices(X1),esk2_0) != esk3_0
| v1_xboole_0(u1_struct_0(X1))
| v2_binop_1(esk3_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_114,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_100,c_0_101]),c_0_69])]),c_0_71]) ).
cnf(c_0_115,negated_conjecture,
( ~ r1_lattice2(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| k1_realset1(u2_lattices(X1),esk2_0) != esk3_0
| k1_realset1(u1_lattices(X1),esk2_0) != esk4_0
| v1_xboole_0(u1_struct_0(X1))
| r1_lattice2(esk2_0,esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_116,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_103,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_117,negated_conjecture,
( ~ r1_lattice2(esk2_0,esk4_0,esk3_0)
| ~ r1_lattice2(esk2_0,esk3_0,esk4_0)
| ~ v2_binop_1(esk4_0,esk2_0)
| ~ v1_binop_1(esk4_0,esk2_0)
| ~ v2_binop_1(esk3_0,esk2_0)
| ~ v1_binop_1(esk3_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_118,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| r1_lattice2(esk2_0,esk4_0,esk3_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_106]),c_0_89]),c_0_88])]),c_0_90]) ).
cnf(c_0_119,negated_conjecture,
( ~ l1_lattices(esk1_0)
| v1_binop_1(esk4_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_120,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v1_binop_1(esk3_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_109,c_0_88]),c_0_106]),c_0_110])]),c_0_90]) ).
cnf(c_0_121,negated_conjecture,
( ~ l1_lattices(esk1_0)
| v2_binop_1(esk4_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_111,c_0_88]),c_0_89]),c_0_112])]),c_0_90]) ).
cnf(c_0_122,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v2_binop_1(esk3_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_113,c_0_88]),c_0_106]),c_0_114])]),c_0_90]) ).
cnf(c_0_123,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| r1_lattice2(esk2_0,esk3_0,esk4_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_115,c_0_116]),c_0_89]),c_0_106]),c_0_88])]),c_0_90]) ).
cnf(c_0_124,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]),c_0_121]),c_0_122]),c_0_123]) ).
cnf(c_0_125,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_76]),c_0_69])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_50]),c_0_69])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:39:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.06/0.74 % Version: 3.5.1
% 2.06/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.06/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.06/0.74 % Starting new_bool_3 with 300s (1) cores
% 2.06/0.74 % Starting new_bool_1 with 300s (1) cores
% 2.06/0.74 % Starting sh5l with 300s (1) cores
% 2.06/0.74 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3855257 completed with status 0
% 2.06/0.74 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.06/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.06/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.06/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.06/0.74 % No SInE strategy applied
% 2.06/0.74 % Search class: FGHSM-FFMM21-SFFFFFNN
% 2.06/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.06/0.74 % Starting SubtermCWHack with 136s (1) cores
% 2.06/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.06/0.74 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 2.06/0.74 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 2.06/0.74 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 2.06/0.74 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 3855265 completed with status 0
% 2.06/0.74 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 2.06/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.06/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.06/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.06/0.74 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.06/0.74 % No SInE strategy applied
% 2.06/0.74 % Search class: FGHSM-FFMM21-SFFFFFNN
% 2.06/0.74 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.06/0.74 % Starting SubtermCWHack with 136s (1) cores
% 2.06/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.06/0.74 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 2.06/0.74 % Preprocessing time : 0.003 s
% 2.06/0.74
% 2.06/0.74 % Proof found!
% 2.06/0.74 % SZS status Theorem
% 2.06/0.74 % SZS output start CNFRefutation
% See solution above
% 2.06/0.74 % Parsed axioms : 67
% 2.06/0.74 % Removed by relevancy pruning/SinE : 0
% 2.06/0.74 % Initial clauses : 126
% 2.06/0.74 % Removed in clause preprocessing : 12
% 2.06/0.74 % Initial clauses in saturation : 114
% 2.06/0.74 % Processed clauses : 2349
% 2.06/0.74 % ...of these trivial : 4
% 2.06/0.74 % ...subsumed : 779
% 2.06/0.74 % ...remaining for further processing : 1566
% 2.06/0.74 % Other redundant clauses eliminated : 0
% 2.06/0.74 % Clauses deleted for lack of memory : 0
% 2.06/0.74 % Backward-subsumed : 80
% 2.06/0.74 % Backward-rewritten : 31
% 2.06/0.74 % Generated clauses : 8138
% 2.06/0.74 % ...of the previous two non-redundant : 7291
% 2.06/0.74 % ...aggressively subsumed : 0
% 2.06/0.74 % Contextual simplify-reflections : 237
% 2.06/0.74 % Paramodulations : 8138
% 2.06/0.74 % Factorizations : 0
% 2.06/0.74 % NegExts : 0
% 2.06/0.74 % Equation resolutions : 0
% 2.06/0.74 % Disequality decompositions : 0
% 2.06/0.74 % Total rewrite steps : 1196
% 2.06/0.74 % ...of those cached : 1110
% 2.06/0.74 % Propositional unsat checks : 0
% 2.06/0.74 % Propositional check models : 0
% 2.06/0.74 % Propositional check unsatisfiable : 0
% 2.06/0.74 % Propositional clauses : 0
% 2.06/0.74 % Propositional clauses after purity: 0
% 2.06/0.74 % Propositional unsat core size : 0
% 2.06/0.74 % Propositional preprocessing time : 0.000
% 2.06/0.74 % Propositional encoding time : 0.000
% 2.06/0.74 % Propositional solver time : 0.000
% 2.06/0.74 % Success case prop preproc time : 0.000
% 2.06/0.74 % Success case prop encoding time : 0.000
% 2.06/0.74 % Success case prop solver time : 0.000
% 2.06/0.74 % Current number of processed clauses : 1455
% 2.06/0.74 % Positive orientable unit clauses : 103
% 2.06/0.74 % Positive unorientable unit clauses: 0
% 2.06/0.74 % Negative unit clauses : 26
% 2.06/0.74 % Non-unit-clauses : 1326
% 2.06/0.74 % Current number of unprocessed clauses: 5019
% 2.06/0.74 % ...number of literals in the above : 18619
% 2.06/0.74 % Current number of archived formulas : 0
% 2.06/0.74 % Current number of archived clauses : 111
% 2.06/0.74 % Clause-clause subsumption calls (NU) : 404506
% 2.06/0.74 % Rec. Clause-clause subsumption calls : 115705
% 2.06/0.74 % Non-unit clause-clause subsumptions : 947
% 2.06/0.74 % Unit Clause-clause subsumption calls : 6281
% 2.06/0.74 % Rewrite failures with RHS unbound : 0
% 2.06/0.74 % BW rewrite match attempts : 194
% 2.06/0.74 % BW rewrite match successes : 17
% 2.06/0.74 % Condensation attempts : 0
% 2.06/0.74 % Condensation successes : 0
% 2.06/0.74 % Termbank termtop insertions : 264011
% 2.06/0.74 % Search garbage collected termcells : 1409
% 2.06/0.74
% 2.06/0.74 % -------------------------------------------------
% 2.06/0.74 % User time : 0.286 s
% 2.06/0.74 % System time : 0.012 s
% 2.06/0.74 % Total time : 0.298 s
% 2.06/0.74 % Maximum resident set size: 3652 pages
% 2.06/0.74
% 2.06/0.74 % -------------------------------------------------
% 2.06/0.74 % User time : 1.346 s
% 2.06/0.74 % System time : 0.047 s
% 2.06/0.74 % Total time : 1.394 s
% 2.06/0.74 % Maximum resident set size: 4864 pages
% 2.06/0.74 % E exiting
%------------------------------------------------------------------------------