%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT343+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:01 PM UTC 2026
% Result : Theorem 0.16s 0.53s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 135 ( 6 unt; 0 def)
% Number of atoms : 618 ( 25 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 776 ( 293 ~; 332 |; 103 &)
% ( 3 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 181 ( 5 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d18_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ( m1_conlat_1(X2,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
=> ( l3_conlat_1(X3,X1)
& v9_conlat_1(X3,X1)
& ~ v7_conlat_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d18_conlat_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(dt_k8_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> m1_conlat_1(k8_conlat_1(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_1) ).
fof(t11_conlat_2,conjecture,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X1))
=> ! [X3] :
( m1_subset_1(X3,u2_conlat_1(X1))
=> ( l3_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_conlat_2) ).
fof(dt_k10_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_1(k10_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_1) ).
fof(dt_k9_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_1(k9_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_1) ).
fof(d23_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d23_conlat_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k11_conlat_1,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X3 = X6
& X2 = X5
& X1 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(dt_k5_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_1(k5_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_conlat_2) ).
fof(dt_k4_conlat_2,axiom,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_1(k4_conlat_2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_conlat_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/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(fc1_conlat_1,axiom,
! [X1] :
( ( l1_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ~ v1_xboole_0(u2_conlat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(fc2_conlat_1,axiom,
! [X1] :
( ( l1_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ~ v1_xboole_0(u1_conlat_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(c_0_21,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( ~ v1_xboole_0(X2)
=> ( m1_conlat_1(X2,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
=> ( l3_conlat_1(X3,X1)
& v9_conlat_1(X3,X1)
& ~ v7_conlat_1(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d18_conlat_1]) ).
fof(c_0_22,plain,
! [X31,X32,X33] :
( ( ~ l2_conlat_1(X31)
| v3_conlat_1(X31)
| v1_xboole_0(X32)
| m1_conlat_1(X32,X31)
| ~ l3_conlat_1(esk4_2(X31,X32),X31)
| ~ v9_conlat_1(esk4_2(X31,X32),X31)
| v7_conlat_1(esk4_2(X31,X32),X31) )
& ( ~ l2_conlat_1(X31)
| v3_conlat_1(X31)
| v1_xboole_0(X32)
| m1_conlat_1(X32,X31)
| r2_hidden(esk4_2(X31,X32),X32) )
& ( ~ l2_conlat_1(X31)
| v3_conlat_1(X31)
| v1_xboole_0(X32)
| ~ m1_conlat_1(X32,X31)
| ~ r2_hidden(X33,X32)
| l3_conlat_1(X33,X31) )
& ( ~ l2_conlat_1(X31)
| v3_conlat_1(X31)
| v1_xboole_0(X32)
| ~ m1_conlat_1(X32,X31)
| ~ r2_hidden(X33,X32)
| v9_conlat_1(X33,X31) )
& ( ~ l2_conlat_1(X31)
| v3_conlat_1(X31)
| v1_xboole_0(X32)
| ~ m1_conlat_1(X32,X31)
| ~ r2_hidden(X33,X32)
| ~ v7_conlat_1(X33,X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])]) ).
fof(c_0_23,plain,
! [X149,X150] :
( ~ v1_xboole_0(X150)
| ~ r2_hidden(X149,X150) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_24,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> m1_conlat_1(k8_conlat_1(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_1]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X1))
=> ! [X3] :
( m1_subset_1(X3,u2_conlat_1(X1))
=> ( l3_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1) ) ) ) ),
inference(assume_negation,[status(cth)],[t11_conlat_2]) ).
fof(c_0_26,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_1(k10_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_conlat_1]) ).
fof(c_0_27,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1))
& v1_funct_1(k9_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_1]) ).
cnf(c_0_28,plain,
( ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X3,X2)
| ~ r2_hidden(X1,X3)
| ~ v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X44] :
( m1_conlat_1(k8_conlat_1(X44),X44)
| ~ l2_conlat_1(X44)
| v3_conlat_1(X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_31,negated_conjecture,
~ ! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_conlat_1(X1))
=> ! [X3] :
( m1_subset_1(X3,u2_conlat_1(X1))
=> ( l3_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& v9_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& ~ v7_conlat_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X3),X1)
& l3_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& v9_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1)
& ~ v7_conlat_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1)) ),
inference(fof_simplification,[status(thm)],[d23_conlat_1]) ).
fof(c_0_33,plain,
! [X132,X133,X134] :
( ( m2_relset_1(X134,X132,X133)
| ~ m1_relset_1(X134,X132,X133) )
& ( m1_relset_1(X134,X132,X133)
| ~ m2_relset_1(X134,X132,X133) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_34,plain,
! [X39] :
( ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| m2_relset_1(k10_conlat_1(X39),k2_zfmisc_1(k8_conlat_1(X39),k8_conlat_1(X39)),k8_conlat_1(X39)) )
& ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| v1_funct_2(k10_conlat_1(X39),k2_zfmisc_1(k8_conlat_1(X39),k8_conlat_1(X39)),k8_conlat_1(X39)) )
& ( ~ l2_conlat_1(X39)
| v3_conlat_1(X39)
| v1_funct_1(k10_conlat_1(X39)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_35,plain,
! [X49] :
( ( ~ l2_conlat_1(X49)
| v3_conlat_1(X49)
| m2_relset_1(k9_conlat_1(X49),k2_zfmisc_1(k8_conlat_1(X49),k8_conlat_1(X49)),k8_conlat_1(X49)) )
& ( ~ l2_conlat_1(X49)
| v3_conlat_1(X49)
| v1_funct_2(k9_conlat_1(X49),k2_zfmisc_1(k8_conlat_1(X49),k8_conlat_1(X49)),k8_conlat_1(X49)) )
& ( ~ l2_conlat_1(X49)
| v3_conlat_1(X49)
| v1_funct_1(k9_conlat_1(X49)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_36,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( l3_lattices(k11_conlat_1(X1))
& v3_lattices(k11_conlat_1(X1))
& ~ v3_struct_0(k11_conlat_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_conlat_1]) ).
cnf(c_0_37,plain,
( ~ l2_conlat_1(X1)
| ~ v7_conlat_1(X3,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_conlat_1(X2,X1)
| v3_conlat_1(X1) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
( ~ l2_conlat_1(X1)
| m1_conlat_1(k8_conlat_1(X1),X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_39,negated_conjecture,
( ( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) )
& m1_subset_1(esk3_0,u2_conlat_1(esk1_0))
& m1_subset_1(esk2_0,u1_conlat_1(esk1_0))
& l2_conlat_1(esk1_0)
& ~ v3_conlat_1(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_40,plain,
( ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X3,X2)
| ~ r2_hidden(X1,X3)
| v3_conlat_1(X2)
| v1_xboole_0(X3)
| v9_conlat_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_41,plain,
! [X96,X97,X98,X99,X100,X101] :
( ( ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X97)
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| X98 = X101 )
& ( ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X97)
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| X97 = X100 )
& ( ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X97)
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| X96 = X99 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])]) ).
fof(c_0_42,plain,
! [X35] :
( k11_conlat_1(X35) = g3_lattices(k8_conlat_1(X35),k10_conlat_1(X35),k9_conlat_1(X35))
| ~ l2_conlat_1(X35)
| v3_conlat_1(X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
cnf(c_0_43,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m2_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m2_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,plain,
! [X10] :
( X10 = g3_lattices(u1_struct_0(X10),u2_lattices(X10),u1_lattices(X10))
| ~ v3_lattices(X10)
| ~ l3_lattices(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_47,plain,
! [X40] :
( ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| l3_lattices(k11_conlat_1(X40)) )
& ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| v3_lattices(k11_conlat_1(X40)) )
& ( ~ l2_conlat_1(X40)
| v3_conlat_1(X40)
| ~ v3_struct_0(k11_conlat_1(X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
cnf(c_0_48,plain,
( ~ l2_conlat_1(X1)
| ~ v7_conlat_1(X2,X1)
| ~ r2_hidden(X2,k8_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ m1_conlat_1(X3,X2)
| v3_conlat_1(X2)
| v9_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[c_0_40,c_0_29]) ).
cnf(c_0_53,plain,
( ~ l2_conlat_1(X2)
| ~ m1_conlat_1(X3,X2)
| ~ r2_hidden(X1,X3)
| v3_conlat_1(X2)
| v1_xboole_0(X3)
| l3_conlat_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
( ~ l2_conlat_1(X1)
| k11_conlat_1(X1) = g3_lattices(k8_conlat_1(X1),k10_conlat_1(X1),k9_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m1_relset_1(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_57,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m1_relset_1(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_58,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_1(k10_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_59,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_1(k9_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_60,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_2(k10_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_61,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_2(k9_conlat_1(X1),k2_zfmisc_1(k8_conlat_1(X1),k8_conlat_1(X1)),k8_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_62,plain,
( ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v3_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_64,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k8_conlat_1(esk1_0))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]) ).
cnf(c_0_66,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| v3_conlat_1(X2)
| v9_conlat_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_38]) ).
cnf(c_0_67,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,X3)
| ~ m1_conlat_1(X3,X2)
| v3_conlat_1(X2)
| l3_conlat_1(X1,X2) ),
inference(csr,[status(thm)],[c_0_53,c_0_29]) ).
cnf(c_0_68,plain,
( ~ l2_conlat_1(X1)
| k11_conlat_1(X1) != g3_lattices(X2,X3,X4)
| v3_conlat_1(X1)
| k8_conlat_1(X1) = X2 ),
inference(csr,[status(thm)],[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_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]) ).
cnf(c_0_69,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| g3_lattices(u1_struct_0(k11_conlat_1(X1)),u2_lattices(k11_conlat_1(X1)),u1_lattices(k11_conlat_1(X1))) = k11_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k8_conlat_1(esk1_0))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_50])]),c_0_51]) ).
cnf(c_0_71,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,k8_conlat_1(X2))
| v3_conlat_1(X2)
| l3_conlat_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_38]) ).
fof(c_0_72,plain,
! [X138,X139] :
( r2_hidden(X138,X139)
| v1_xboole_0(X139)
| ~ m1_subset_1(X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_73,plain,
( ~ l2_conlat_1(X2)
| ~ l2_conlat_1(X1)
| k11_conlat_1(X1) != k11_conlat_1(X2)
| v3_conlat_1(X1)
| v3_conlat_1(X2)
| k8_conlat_1(X1) = u1_struct_0(k11_conlat_1(X2)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k8_conlat_1(esk1_0))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_50])]),c_0_51]) ).
cnf(c_0_75,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_76,plain,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,X1)
& m1_relset_1(X3,X1,X2)
& v1_funct_2(X3,X1,X2)
& v1_funct_1(X3)
& ~ v1_xboole_0(X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
inference(fof_simplification,[status(thm)],[dt_k8_funct_2]) ).
cnf(c_0_77,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| k8_conlat_1(X1) = u1_struct_0(k11_conlat_1(X1)) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_78,negated_conjecture,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),k8_conlat_1(esk1_0))
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v1_xboole_0(k8_conlat_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
fof(c_0_79,plain,
! [X45,X46,X47,X48] :
( m1_subset_1(k8_funct_2(X45,X46,X47,X48),X46)
| ~ m1_subset_1(X48,X45)
| ~ m1_relset_1(X47,X45,X46)
| ~ v1_funct_2(X47,X45,X46)
| ~ v1_funct_1(X47)
| v1_xboole_0(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_80,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m1_conlat_1(u1_struct_0(k11_conlat_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( ~ m1_subset_1(k8_funct_2(u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k5_conlat_2(esk1_0),esk3_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_50])]),c_0_51]) ).
cnf(c_0_82,plain,
( ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| m1_subset_1(k8_funct_2(X1,X3,X2,X4),X3)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_83,negated_conjecture,
m1_subset_1(esk3_0,u2_conlat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_84,plain,
( ~ l2_conlat_1(X1)
| ~ v7_conlat_1(X2,X1)
| ~ r2_hidden(X2,u1_struct_0(k11_conlat_1(X1)))
| v3_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v7_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_86,negated_conjecture,
( ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_50])]),c_0_51]),c_0_29]) ).
cnf(c_0_87,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(X2)))
| v3_conlat_1(X2)
| v9_conlat_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),esk1_0)
| ~ r2_hidden(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_50])]),c_0_51]) ).
cnf(c_0_89,plain,
( ~ l2_conlat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(k11_conlat_1(X2)))
| v3_conlat_1(X2)
| l3_conlat_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_80]) ).
fof(c_0_90,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_1(k5_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_conlat_2]) ).
cnf(c_0_91,negated_conjecture,
( ~ r2_hidden(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_50])]),c_0_51]) ).
fof(c_0_92,plain,
! [X42] :
( ( ~ l2_conlat_1(X42)
| v3_conlat_1(X42)
| m2_relset_1(k5_conlat_2(X42),u2_conlat_1(X42),u1_struct_0(k11_conlat_1(X42))) )
& ( ~ l2_conlat_1(X42)
| v3_conlat_1(X42)
| v1_funct_2(k5_conlat_2(X42),u2_conlat_1(X42),u1_struct_0(k11_conlat_1(X42))) )
& ( ~ l2_conlat_1(X42)
| v3_conlat_1(X42)
| v1_funct_1(k5_conlat_2(X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])]) ).
cnf(c_0_93,negated_conjecture,
( ~ m1_subset_1(k8_funct_2(u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)),k4_conlat_2(esk1_0),esk2_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_91,c_0_75]) ).
cnf(c_0_94,negated_conjecture,
m1_subset_1(esk2_0,u1_conlat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_95,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_96,negated_conjecture,
( ~ m1_relset_1(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ m1_relset_1(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_82]),c_0_94])]) ).
cnf(c_0_97,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m1_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(spm,[status(thm)],[c_0_43,c_0_95]) ).
fof(c_0_98,plain,
! [X1] :
( ( l2_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ( m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
& v1_funct_1(k4_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_conlat_2]) ).
cnf(c_0_99,negated_conjecture,
( ~ m1_relset_1(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_2(k5_conlat_2(esk1_0),u2_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_50])]),c_0_51]) ).
cnf(c_0_100,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_101,plain,
! [X41] :
( ( ~ l2_conlat_1(X41)
| v3_conlat_1(X41)
| m2_relset_1(k4_conlat_2(X41),u1_conlat_1(X41),u1_struct_0(k11_conlat_1(X41))) )
& ( ~ l2_conlat_1(X41)
| v3_conlat_1(X41)
| v1_funct_2(k4_conlat_2(X41),u1_conlat_1(X41),u1_struct_0(k11_conlat_1(X41))) )
& ( ~ l2_conlat_1(X41)
| v3_conlat_1(X41)
| v1_funct_1(k4_conlat_2(X41)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])])]) ).
cnf(c_0_102,negated_conjecture,
( ~ m1_relset_1(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ v1_funct_1(k5_conlat_2(esk1_0))
| ~ v1_funct_2(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_50])]),c_0_51]) ).
cnf(c_0_103,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_1(k5_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_104,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( ~ m1_relset_1(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ v1_funct_2(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_50])]),c_0_51]) ).
cnf(c_0_106,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| m1_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(spm,[status(thm)],[c_0_43,c_0_104]) ).
fof(c_0_107,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_108,plain,
! [X1] :
( ( l1_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ~ v1_xboole_0(u2_conlat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_conlat_1]) ).
cnf(c_0_109,negated_conjecture,
( ~ v1_funct_1(k4_conlat_2(esk1_0))
| ~ v1_funct_2(k4_conlat_2(esk1_0),u1_conlat_1(esk1_0),u1_struct_0(k11_conlat_1(esk1_0)))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_50])]),c_0_51]) ).
cnf(c_0_110,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_111,plain,
! [X81] :
( ~ v1_xboole_0(u1_struct_0(X81))
| ~ l1_struct_0(X81)
| v3_struct_0(X81) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])]) ).
fof(c_0_112,plain,
! [X50] :
( l1_struct_0(X50)
| ~ l1_lattices(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])]) ).
fof(c_0_113,plain,
! [X1] :
( ( l1_conlat_1(X1)
& ~ v3_conlat_1(X1) )
=> ~ v1_xboole_0(u1_conlat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc2_conlat_1]) ).
fof(c_0_114,plain,
! [X79] :
( ~ v1_xboole_0(u2_conlat_1(X79))
| ~ l1_conlat_1(X79)
| v3_conlat_1(X79) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])]) ).
cnf(c_0_115,negated_conjecture,
( ~ v1_funct_1(k4_conlat_2(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_50])]),c_0_51]) ).
cnf(c_0_116,plain,
( ~ l2_conlat_1(X1)
| v3_conlat_1(X1)
| v1_funct_1(k4_conlat_2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_117,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_118,plain,
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
fof(c_0_119,plain,
! [X53] :
( ( ~ l3_lattices(X53)
| l2_lattices(X53) )
& ( ~ l3_lattices(X53)
| l1_lattices(X53) ) ),
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_120,plain,
! [X83] :
( ~ v1_xboole_0(u1_conlat_1(X83))
| ~ l1_conlat_1(X83)
| v3_conlat_1(X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])]) ).
cnf(c_0_121,plain,
( ~ v1_xboole_0(u2_conlat_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_122,negated_conjecture,
( v1_xboole_0(u2_conlat_1(esk1_0))
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_50])]),c_0_51]) ).
cnf(c_0_123,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_125,plain,
( ~ v1_xboole_0(u1_conlat_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_126,negated_conjecture,
( ~ l1_conlat_1(esk1_0)
| v1_xboole_0(u1_conlat_1(esk1_0))
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_51]) ).
fof(c_0_127,plain,
! [X51] :
( l1_conlat_1(X51)
| ~ l2_conlat_1(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])])]) ).
cnf(c_0_128,plain,
( ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
( ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1))
| v3_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_130,negated_conjecture,
( ~ l1_conlat_1(esk1_0)
| v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_51]) ).
cnf(c_0_131,plain,
( ~ l2_conlat_1(X1)
| l1_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_132,plain,
( ~ l2_conlat_1(X1)
| ~ v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))
| v3_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_64]),c_0_129]) ).
cnf(c_0_133,negated_conjecture,
v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_50])]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_50])]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT343+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.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 23:43:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.53 % Version: 3.5.1
% 0.16/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.53 % Starting sh5l with 300s (1) cores
% 0.16/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1769234 completed with status 0
% 0.16/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.53 % No SInE strategy applied
% 0.16/0.53 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.16/0.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.53 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.16/0.53 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.16/0.53 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.53 % G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 1769241 completed with status 0
% 0.16/0.53 % Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.16/0.53 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.53 % No SInE strategy applied
% 0.16/0.53 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.16/0.53 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.16/0.53 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 0.16/0.53 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.16/0.53 % Preprocessing time : 0.002 s
% 0.16/0.53 % Presaturation interreduction done
% 0.16/0.53
% 0.16/0.53 % Proof found!
% 0.16/0.53 % SZS status Theorem
% 0.16/0.53 % SZS output start CNFRefutation
% See solution above
% 0.16/0.53 % Parsed axioms : 97
% 0.16/0.53 % Removed by relevancy pruning/SinE : 0
% 0.16/0.53 % Initial clauses : 224
% 0.16/0.53 % Removed in clause preprocessing : 21
% 0.16/0.53 % Initial clauses in saturation : 203
% 0.16/0.53 % Processed clauses : 1009
% 0.16/0.53 % ...of these trivial : 6
% 0.16/0.53 % ...subsumed : 329
% 0.16/0.53 % ...remaining for further processing : 674
% 0.16/0.53 % Other redundant clauses eliminated : 0
% 0.16/0.53 % Clauses deleted for lack of memory : 0
% 0.16/0.53 % Backward-subsumed : 35
% 0.16/0.53 % Backward-rewritten : 10
% 0.16/0.53 % Generated clauses : 1770
% 0.16/0.53 % ...of the previous two non-redundant : 1657
% 0.16/0.53 % ...aggressively subsumed : 0
% 0.16/0.53 % Contextual simplify-reflections : 51
% 0.16/0.53 % Paramodulations : 1761
% 0.16/0.53 % Factorizations : 0
% 0.16/0.53 % NegExts : 0
% 0.16/0.53 % Equation resolutions : 9
% 0.16/0.53 % Disequality decompositions : 0
% 0.16/0.53 % Total rewrite steps : 198
% 0.16/0.53 % ...of those cached : 142
% 0.16/0.53 % Propositional unsat checks : 0
% 0.16/0.53 % Propositional check models : 0
% 0.16/0.53 % Propositional check unsatisfiable : 0
% 0.16/0.53 % Propositional clauses : 0
% 0.16/0.53 % Propositional clauses after purity: 0
% 0.16/0.53 % Propositional unsat core size : 0
% 0.16/0.53 % Propositional preprocessing time : 0.000
% 0.16/0.53 % Propositional encoding time : 0.000
% 0.16/0.53 % Propositional solver time : 0.000
% 0.16/0.53 % Success case prop preproc time : 0.000
% 0.16/0.53 % Success case prop encoding time : 0.000
% 0.16/0.53 % Success case prop solver time : 0.000
% 0.16/0.53 % Current number of processed clauses : 458
% 0.16/0.53 % Positive orientable unit clauses : 66
% 0.16/0.53 % Positive unorientable unit clauses: 0
% 0.16/0.53 % Negative unit clauses : 12
% 0.16/0.53 % Non-unit-clauses : 380
% 0.16/0.53 % Current number of unprocessed clauses: 973
% 0.16/0.53 % ...number of literals in the above : 5466
% 0.16/0.53 % Current number of archived formulas : 0
% 0.16/0.53 % Current number of archived clauses : 216
% 0.16/0.53 % Clause-clause subsumption calls (NU) : 49520
% 0.16/0.53 % Rec. Clause-clause subsumption calls : 16664
% 0.16/0.53 % Non-unit clause-clause subsumptions : 414
% 0.16/0.53 % Unit Clause-clause subsumption calls : 735
% 0.16/0.53 % Rewrite failures with RHS unbound : 0
% 0.16/0.53 % BW rewrite match attempts : 18
% 0.16/0.53 % BW rewrite match successes : 3
% 0.16/0.53 % Condensation attempts : 0
% 0.16/0.53 % Condensation successes : 0
% 0.16/0.53 % Termbank termtop insertions : 50415
% 0.16/0.53 % Search garbage collected termcells : 2020
% 0.16/0.53
% 0.16/0.53 % -------------------------------------------------
% 0.16/0.53 % User time : 0.060 s
% 0.16/0.53 % System time : 0.005 s
% 0.16/0.53 % Total time : 0.065 s
% 0.16/0.53 % Maximum resident set size: 4252 pages
% 0.16/0.53
% 0.16/0.53 % -------------------------------------------------
% 0.16/0.53 % User time : 0.344 s
% 0.16/0.53 % System time : 0.033 s
% 0.16/0.53 % Total time : 0.378 s
% 0.16/0.53 % Maximum resident set size: 4608 pages
% 0.16/0.53 % E exiting
%------------------------------------------------------------------------------