%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT287+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 : n006.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 01:04:42 PM UTC 2026
% Result : Theorem 4.42s 1.43s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 108 ( 24 unt; 0 def)
% Number of atoms : 414 ( 27 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 499 ( 193 ~; 183 |; 95 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 148 ( 7 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_subset_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(dt_k1_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(fc1_finsub_1,axiom,
! [X1] :
( v4_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& ~ v1_xboole_0(k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_finsub_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(t7_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lopclset) ).
fof(fc1_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(fc1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v5_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v1_membered(k1_pre_topc(X1))
& v1_xboole_0(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(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(t16_lopclset,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lopclset) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(dt_k5_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_1(k5_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lopclset) ).
fof(dt_k4_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_1(k4_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(d4_lopclset,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lopclset) ).
fof(existence_l1_pre_topc,axiom,
? [X1] : l1_pre_topc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
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(dt_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) )
=> ( l3_lattices(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
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(fc6_membered,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(c_0_21,plain,
! [X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1]) ).
fof(c_0_22,plain,
! [X1] :
( ( l1_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k1_lopclset]) ).
fof(c_0_23,plain,
! [X1] :
( v4_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& ~ v1_xboole_0(k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_finsub_1]) ).
fof(c_0_24,plain,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& X1 != X2
& v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[t8_boole]) ).
fof(c_0_25,plain,
! [X145,X146,X147] :
( ( ~ m1_subset_1(X146,k1_zfmisc_1(X145))
| v1_xboole_0(X146)
| v1_xboole_0(X145)
| m2_subset_1(X147,X145,X146)
| ~ m1_subset_1(X147,X146) )
& ( ~ m1_subset_1(X146,k1_zfmisc_1(X145))
| v1_xboole_0(X146)
| v1_xboole_0(X145)
| m1_subset_1(X147,X146)
| ~ m2_subset_1(X147,X145,X146) ) ),
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_21])])])])]) ).
fof(c_0_26,plain,
! [X148] :
( m1_subset_1(k1_lopclset(X148),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X148))))
| ~ l1_pre_topc(X148)
| v3_struct_0(X148) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_27,plain,
! [X155] :
( v4_finsub_1(k1_zfmisc_1(X155))
& v3_finsub_1(k1_zfmisc_1(X155))
& v1_finsub_1(k1_zfmisc_1(X155))
& ~ v1_xboole_0(k1_zfmisc_1(X155)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_23])]) ).
fof(c_0_28,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t7_lopclset]) ).
fof(c_0_29,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_lopclset]) ).
fof(c_0_30,plain,
! [X130,X131] :
( ~ v1_xboole_0(X131)
| X130 = X131
| ~ v1_xboole_0(X130) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_31,plain,
! [X120] :
( ( ~ l1_struct_0(X120)
| v5_membered(k1_pre_topc(X120)) )
& ( ~ l1_struct_0(X120)
| v4_membered(k1_pre_topc(X120)) )
& ( ~ l1_struct_0(X120)
| v3_membered(k1_pre_topc(X120)) )
& ( ~ l1_struct_0(X120)
| v2_membered(k1_pre_topc(X120)) )
& ( ~ l1_struct_0(X120)
| v1_membered(k1_pre_topc(X120)) )
& ( ~ l1_struct_0(X120)
| v1_xboole_0(k1_pre_topc(X120)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])])]) ).
fof(c_0_32,plain,
! [X97,X98,X99] :
( ~ v1_xboole_0(X99)
| ~ m1_subset_1(X98,k1_zfmisc_1(X99))
| ~ r2_hidden(X97,X98) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
fof(c_0_33,plain,
! [X140] : m1_subset_1(esk24_1(X140),X140),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_34,plain,
! [X125,X126] :
( r2_hidden(X125,X126)
| v1_xboole_0(X126)
| ~ m1_subset_1(X125,X126) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(assume_negation,[status(cth)],[t16_lopclset]) ).
cnf(c_0_36,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m2_subset_1(X1,X2,X3)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| m1_subset_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( ~ l1_pre_topc(X1)
| m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_39,plain,
! [X161] :
( m2_subset_1(k1_pre_topc(X161),k1_zfmisc_1(u1_struct_0(X161)),k1_lopclset(X161))
| ~ l1_pre_topc(X161)
| ~ v2_pre_topc(X161)
| v3_struct_0(X161) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_40,plain,
! [X156] :
( ~ v1_xboole_0(k1_lopclset(X156))
| ~ l1_pre_topc(X156)
| ~ v2_pre_topc(X156)
| v3_struct_0(X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_41,plain,
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( ~ l1_struct_0(X1)
| v1_xboole_0(k1_pre_topc(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
m1_subset_1(esk24_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_46,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k1_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( ~ l1_pre_topc(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| m1_subset_1(X2,k1_lopclset(X1))
| v1_xboole_0(k1_lopclset(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_48,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
( ~ v1_xboole_0(k1_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( ~ l1_struct_0(X2)
| ~ v1_xboole_0(X1)
| X1 = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_51,plain,
! [X151] :
( l1_struct_0(X151)
| ~ l1_pre_topc(X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])]) ).
cnf(c_0_52,plain,
( ~ r2_hidden(X2,esk24_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,plain,
( r2_hidden(esk24_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
fof(c_0_54,negated_conjecture,
( ~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0)))
& l1_pre_topc(esk1_0)
& v2_pre_topc(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_46])])])]) ).
fof(c_0_55,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_1(k5_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_lopclset]) ).
fof(c_0_56,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& v1_funct_1(k4_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_lopclset]) ).
cnf(c_0_57,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| v3_struct_0(X1)
| m1_subset_1(k1_pre_topc(X1),k1_lopclset(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_58,plain,
( ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| k1_pre_topc(X1) = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_42]) ).
cnf(c_0_59,plain,
( ~ l1_pre_topc(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( ~ v1_xboole_0(X1)
| v1_xboole_0(esk24_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_62,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[d4_lopclset]) ).
fof(c_0_63,plain,
! [X113] :
( ( ~ l1_pre_topc(X113)
| ~ v2_pre_topc(X113)
| v3_struct_0(X113)
| m2_relset_1(k5_lopclset(X113),k2_zfmisc_1(k1_lopclset(X113),k1_lopclset(X113)),k1_lopclset(X113)) )
& ( ~ l1_pre_topc(X113)
| ~ v2_pre_topc(X113)
| v3_struct_0(X113)
| v1_funct_2(k5_lopclset(X113),k2_zfmisc_1(k1_lopclset(X113),k1_lopclset(X113)),k1_lopclset(X113)) )
& ( ~ l1_pre_topc(X113)
| ~ v2_pre_topc(X113)
| v3_struct_0(X113)
| v1_funct_1(k5_lopclset(X113)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).
fof(c_0_64,plain,
! [X112] :
( ( ~ l1_pre_topc(X112)
| ~ v2_pre_topc(X112)
| v3_struct_0(X112)
| m2_relset_1(k4_lopclset(X112),k2_zfmisc_1(k1_lopclset(X112),k1_lopclset(X112)),k1_lopclset(X112)) )
& ( ~ l1_pre_topc(X112)
| ~ v2_pre_topc(X112)
| v3_struct_0(X112)
| v1_funct_2(k4_lopclset(X112),k2_zfmisc_1(k1_lopclset(X112),k1_lopclset(X112)),k1_lopclset(X112)) )
& ( ~ l1_pre_topc(X112)
| ~ v2_pre_topc(X112)
| v3_struct_0(X112)
| v1_funct_1(k4_lopclset(X112)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
cnf(c_0_65,plain,
( ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X2)
| m1_subset_1(k1_pre_topc(X1),k1_lopclset(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_66,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_68,plain,
l1_pre_topc(esk23_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).
cnf(c_0_69,negated_conjecture,
~ m1_subset_1(k1_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_70,plain,
( ~ l1_struct_0(X2)
| ~ v1_xboole_0(X1)
| esk24_1(k1_zfmisc_1(X1)) = k1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_59,c_0_61]) ).
fof(c_0_72,plain,
! [X160] :
( k6_lopclset(X160) = g3_lattices(k1_lopclset(X160),k4_lopclset(X160),k5_lopclset(X160))
| ~ l1_pre_topc(X160)
| ~ v2_pre_topc(X160)
| v3_struct_0(X160) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
fof(c_0_73,plain,
! [X100,X101,X102,X103,X104,X105] :
( ( ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X102)
| ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X101)
| g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
| X102 = X105 )
& ( ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X102)
| ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X101)
| g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
| X101 = X104 )
& ( ~ m1_relset_1(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X102,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X102)
| ~ m1_relset_1(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_2(X101,k2_zfmisc_1(X100,X100),X100)
| ~ v1_funct_1(X101)
| g3_lattices(X100,X101,X102) != g3_lattices(X103,X104,X105)
| X100 = X103 ) ),
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_74,plain,
! [X21] :
( X21 = g3_lattices(u1_struct_0(X21),u2_lattices(X21),u1_lattices(X21))
| ~ v3_lattices(X21)
| ~ l3_lattices(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_75,plain,
! [X109,X110,X111] :
( ( ~ m1_relset_1(X111,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_2(X111,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_1(X111)
| ~ m1_relset_1(X110,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_2(X110,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_1(X110)
| l3_lattices(g3_lattices(X109,X110,X111)) )
& ( ~ m1_relset_1(X111,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_2(X111,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_1(X111)
| ~ m1_relset_1(X110,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_2(X110,k2_zfmisc_1(X109,X109),X109)
| ~ v1_funct_1(X110)
| v3_lattices(g3_lattices(X109,X110,X111)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])]) ).
fof(c_0_76,plain,
! [X30,X31,X32] :
( ( m2_relset_1(X32,X30,X31)
| ~ m1_relset_1(X32,X30,X31) )
& ( m1_relset_1(X32,X30,X31)
| ~ m2_relset_1(X32,X30,X31) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_77,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_78,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( ~ l1_struct_0(X1)
| m1_subset_1(k1_pre_topc(X1),k1_lopclset(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_61])]),c_0_67]) ).
cnf(c_0_80,plain,
l1_pre_topc(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,negated_conjecture,
( ~ m1_subset_1(esk24_1(k1_zfmisc_1(X1)),u1_struct_0(k6_lopclset(esk1_0)))
| ~ v1_xboole_0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_82,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,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_73]) ).
cnf(c_0_84,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_74]) ).
cnf(c_0_85,plain,
( ~ 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)
| l3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,plain,
( ~ 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)
| v3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_87,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_88,negated_conjecture,
m2_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_89,negated_conjecture,
m2_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_90,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_91,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_92,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v1_funct_1(k5_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_93,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1)
| v1_funct_1(k4_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_94,negated_conjecture,
( ~ l1_struct_0(X2)
| ~ v1_xboole_0(X1)
| m1_subset_1(esk24_1(k1_zfmisc_1(X1)),k1_lopclset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
cnf(c_0_95,plain,
l1_struct_0(esk23_0),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
cnf(c_0_96,negated_conjecture,
( ~ m1_subset_1(esk24_1(k1_zfmisc_1(X1)),u1_struct_0(g3_lattices(k1_lopclset(esk1_0),k4_lopclset(esk1_0),k5_lopclset(esk1_0))))
| ~ v1_xboole_0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_61]),c_0_66])]),c_0_67]) ).
cnf(c_0_97,plain,
( ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| u1_struct_0(g3_lattices(X1,X2,X3)) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84])]),c_0_85]),c_0_86]) ).
cnf(c_0_98,negated_conjecture,
m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_87,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
v1_funct_2(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_101,negated_conjecture,
v1_funct_2(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_102,negated_conjecture,
v1_funct_1(k5_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_103,negated_conjecture,
v1_funct_1(k4_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_66]),c_0_61])]),c_0_67]) ).
cnf(c_0_104,negated_conjecture,
( ~ v1_xboole_0(X1)
| m1_subset_1(esk24_1(k1_zfmisc_1(X1)),k1_lopclset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_105,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_106,negated_conjecture,
~ v1_xboole_0(X1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103])]),c_0_104]) ).
cnf(c_0_107,plain,
$false,
inference(sr,[status(thm)],[c_0_105,c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT287+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.79 % Computer : n006.cluster.edu
% 0.11/0.79 % Model : x86_64 x86_64
% 0.11/0.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.79 % Memory : 8046.5625MB
% 0.11/0.79 % OS : Linux 6.8.0-71-generic
% 0.11/0.79 % CPULimit : 300
% 0.11/0.79 % WCLimit : 300
% 0.11/0.79 % DateTime : Sun Sep 20 23:25:58 UTC 2026
% 0.11/0.79 % CPUTime :
% 0.11/0.79 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.83 Running first-order theorem proving
% 0.15/0.83 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
% 4.42/1.43 % Version: 3.5.1
% 4.42/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.42/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.42/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.42/1.43 % Starting new_bool_3 with 300s (1) cores
% 4.42/1.43 % Starting new_bool_1 with 300s (1) cores
% 4.42/1.43 % Starting sh5l with 300s (1) cores
% 4.42/1.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1476165 completed with status 0
% 4.42/1.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.42/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.42/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.42/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.42/1.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.42/1.43 % No SInE strategy applied
% 4.42/1.43 % Search class: FGHSM-FSMM31-MFFFFFNN
% 4.42/1.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.42/1.43 % Starting SubtermCWHack with 136s (1) cores
% 4.42/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.42/1.43 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 4.42/1.43 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 4.42/1.43 % Starting new_bool_3 with 136s (1) cores
% 4.42/1.43 % G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with pid 1476175 completed with status 0
% 4.42/1.43 % Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 4.42/1.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.42/1.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.42/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.42/1.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.42/1.43 % No SInE strategy applied
% 4.42/1.43 % Search class: FGHSM-FSMM31-MFFFFFNN
% 4.42/1.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.42/1.43 % Starting SubtermCWHack with 136s (1) cores
% 4.42/1.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.42/1.43 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 4.42/1.43 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 4.42/1.43 % Preprocessing time : 0.004 s
% 4.42/1.43 % Presaturation interreduction done
% 4.42/1.43
% 4.42/1.43 % Proof found!
% 4.42/1.43 % SZS status Theorem
% 4.42/1.43 % SZS output start CNFRefutation
% See solution above
% 4.42/1.44 % Parsed axioms : 95
% 4.42/1.44 % Removed by relevancy pruning/SinE : 0
% 4.42/1.44 % Initial clauses : 204
% 4.42/1.44 % Removed in clause preprocessing : 14
% 4.42/1.44 % Initial clauses in saturation : 190
% 4.42/1.44 % Processed clauses : 6274
% 4.42/1.44 % ...of these trivial : 9
% 4.42/1.44 % ...subsumed : 3901
% 4.42/1.44 % ...remaining for further processing : 2364
% 4.42/1.44 % Other redundant clauses eliminated : 7
% 4.42/1.44 % Clauses deleted for lack of memory : 0
% 4.42/1.44 % Backward-subsumed : 423
% 4.42/1.44 % Backward-rewritten : 5
% 4.42/1.44 % Generated clauses : 15902
% 4.42/1.44 % ...of the previous two non-redundant : 15278
% 4.42/1.44 % ...aggressively subsumed : 0
% 4.42/1.44 % Contextual simplify-reflections : 82
% 4.42/1.44 % Paramodulations : 15845
% 4.42/1.44 % Factorizations : 2
% 4.42/1.44 % NegExts : 0
% 4.42/1.44 % Equation resolutions : 10
% 4.42/1.44 % Disequality decompositions : 0
% 4.42/1.44 % Total rewrite steps : 1347
% 4.42/1.44 % ...of those cached : 1254
% 4.42/1.44 % Propositional unsat checks : 0
% 4.42/1.44 % Propositional check models : 0
% 4.42/1.44 % Propositional check unsatisfiable : 0
% 4.42/1.44 % Propositional clauses : 0
% 4.42/1.44 % Propositional clauses after purity: 0
% 4.42/1.44 % Propositional unsat core size : 0
% 4.42/1.44 % Propositional preprocessing time : 0.000
% 4.42/1.44 % Propositional encoding time : 0.000
% 4.42/1.44 % Propositional solver time : 0.000
% 4.42/1.44 % Success case prop preproc time : 0.000
% 4.42/1.44 % Success case prop encoding time : 0.000
% 4.42/1.44 % Success case prop solver time : 0.000
% 4.42/1.44 % Current number of processed clauses : 1705
% 4.42/1.44 % Positive orientable unit clauses : 105
% 4.42/1.44 % Positive unorientable unit clauses: 0
% 4.42/1.44 % Negative unit clauses : 37
% 4.42/1.44 % Non-unit-clauses : 1563
% 4.42/1.44 % Current number of unprocessed clauses: 9131
% 4.42/1.44 % ...number of literals in the above : 39193
% 4.42/1.44 % Current number of archived formulas : 0
% 4.42/1.44 % Current number of archived clauses : 656
% 4.42/1.44 % Clause-clause subsumption calls (NU) : 630506
% 4.42/1.44 % Rec. Clause-clause subsumption calls : 427145
% 4.42/1.44 % Non-unit clause-clause subsumptions : 3676
% 4.42/1.44 % Unit Clause-clause subsumption calls : 7408
% 4.42/1.44 % Rewrite failures with RHS unbound : 0
% 4.42/1.44 % BW rewrite match attempts : 47
% 4.42/1.44 % BW rewrite match successes : 4
% 4.42/1.44 % Condensation attempts : 0
% 4.42/1.44 % Condensation successes : 0
% 4.42/1.44 % Termbank termtop insertions : 245633
% 4.42/1.44 % Search garbage collected termcells : 1959
% 4.42/1.44
% 4.42/1.44 % -------------------------------------------------
% 4.42/1.44 % User time : 0.557 s
% 4.42/1.44 % System time : 0.014 s
% 4.42/1.44 % Total time : 0.572 s
% 4.42/1.44 % Maximum resident set size: 3940 pages
% 4.42/1.44
% 4.42/1.44 % -------------------------------------------------
% 4.42/1.44 % User time : 2.756 s
% 4.42/1.44 % System time : 0.088 s
% 4.42/1.44 % Total time : 2.844 s
% 4.42/1.44 % Maximum resident set size: 4864 pages
% 4.42/1.44 % E exiting
%------------------------------------------------------------------------------