%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT378+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 01:05:12 PM UTC 2026
% Result : Theorem 14.82s 2.35s
% Output : CNFRefutation 14.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 102 ( 26 unt; 0 def)
% Number of atoms : 560 ( 8 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 758 ( 300 ~; 293 |; 110 &)
% ( 3 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 215 ( 5 sgn 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t63_waybel34,conjecture,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_1(X5) )
=> ( ( v4_waybel34(X5,X2,X3)
& v4_waybel34(X4,X1,X2) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_waybel34) ).
fof(d15_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v1_finset_1(X4) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15_waybel34) ).
fof(t62_waybel34,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_1(X6) )
=> ( ( r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4))
& r4_waybel_0(X1,X2,X5,X4) )
=> r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_waybel34) ).
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(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& l1_struct_0(X1) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(dt_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> ( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& l1_struct_0(X1) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( v1_finset_1(X2)
& v1_funct_1(X1)
& v1_relat_1(X1) )
=> v1_finset_1(k9_relat_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_1(X5) )
=> ( ( v4_waybel34(X5,X2,X3)
& v4_waybel34(X4,X1,X2) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t63_waybel34]) ).
fof(c_0_14,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v1_finset_1(X4) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d15_waybel34]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( ( m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X4) )
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_1(X5) )
=> ( ( v4_waybel34(X5,X2,X3)
& v4_waybel34(X4,X1,X2) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( l1_orders_2(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X5] :
( ( m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X5) )
=> ! [X6] :
( ( m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
& v1_funct_1(X6) )
=> ( ( r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4))
& r4_waybel_0(X1,X2,X5,X4) )
=> r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t62_waybel34]) ).
fof(c_0_17,plain,
! [X47,X48,X49,X50] :
( ( ~ l1_orders_2(X47)
| v3_struct_0(X47)
| ~ l1_orders_2(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_2(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v4_waybel34(X49,X47,X48)
| ~ r4_waybel_0(X47,X48,X49,esk6_3(X47,X48,X49)) )
& ( ~ l1_orders_2(X47)
| v3_struct_0(X47)
| ~ l1_orders_2(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_2(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v4_waybel34(X49,X47,X48)
| m1_subset_1(esk6_3(X47,X48,X49),k1_zfmisc_1(u1_struct_0(X47))) )
& ( ~ l1_orders_2(X47)
| v3_struct_0(X47)
| ~ l1_orders_2(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_2(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| v4_waybel34(X49,X47,X48)
| v1_finset_1(esk6_3(X47,X48,X49)) )
& ( ~ l1_orders_2(X47)
| v3_struct_0(X47)
| ~ l1_orders_2(X48)
| v3_struct_0(X48)
| ~ m2_relset_1(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_2(X49,u1_struct_0(X47),u1_struct_0(X48))
| ~ v1_funct_1(X49)
| r4_waybel_0(X47,X48,X49,X50)
| ~ m1_subset_1(X50,k1_zfmisc_1(u1_struct_0(X47)))
| ~ v1_finset_1(X50)
| ~ v4_waybel34(X49,X47,X48) ) ),
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_14])])])])])]) ).
fof(c_0_18,negated_conjecture,
( ~ v4_waybel34(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_0)
& v4_waybel34(esk5_0,esk2_0,esk3_0)
& v4_waybel34(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v1_funct_1(esk5_0)
& m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk4_0)
& l1_orders_2(esk3_0)
& ~ v3_struct_0(esk3_0)
& l1_orders_2(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(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_15])])])]) ).
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,
! [X125,X126,X127,X128,X129,X130] :
( r4_waybel_0(X125,X127,k7_funct_2(u1_struct_0(X125),u1_struct_0(X126),u1_struct_0(X127),X129,X130),X128)
| ~ r4_waybel_0(X126,X127,X130,k4_pre_topc(X125,X126,X129,X128))
| ~ r4_waybel_0(X125,X126,X129,X128)
| ~ m2_relset_1(X130,u1_struct_0(X126),u1_struct_0(X127))
| ~ v1_funct_2(X130,u1_struct_0(X126),u1_struct_0(X127))
| ~ v1_funct_1(X130)
| ~ m2_relset_1(X129,u1_struct_0(X125),u1_struct_0(X126))
| ~ v1_funct_2(X129,u1_struct_0(X125),u1_struct_0(X126))
| ~ v1_funct_1(X129)
| ~ m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(X125)))
| ~ l1_orders_2(X127)
| v3_struct_0(X127)
| ~ l1_orders_2(X126)
| v3_struct_0(X126)
| ~ l1_orders_2(X125)
| v3_struct_0(X125) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_21,plain,
( ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_finset_1(X4)
| ~ v4_waybel34(X1,X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| r4_waybel_0(X2,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
v4_waybel34(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_30,plain,
! [X83] :
( ~ v1_xboole_0(u1_struct_0(X83))
| ~ l1_struct_0(X83)
| v3_struct_0(X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_31,plain,
! [X63] :
( l1_struct_0(X63)
| ~ l1_orders_2(X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_32,plain,
( ~ r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4))
| ~ r4_waybel_0(X1,X2,X5,X4)
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v1_finset_1(X1)
| r4_waybel_0(esk2_0,esk3_0,esk5_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[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(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).
fof(c_0_34,plain,
! [X52,X53,X54,X55] :
( m1_subset_1(k4_pre_topc(X52,X53,X54,X55),k1_zfmisc_1(u1_struct_0(X53)))
| ~ m1_relset_1(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ v1_funct_2(X54,u1_struct_0(X52),u1_struct_0(X53))
| ~ v1_funct_1(X54)
| ~ l1_struct_0(X53)
| ~ l1_struct_0(X52) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])]) ).
fof(c_0_35,plain,
! [X109,X110,X111] :
( ( m2_relset_1(X111,X109,X110)
| ~ m1_relset_1(X111,X109,X110) )
& ( m1_relset_1(X111,X109,X110)
| ~ m2_relset_1(X111,X109,X110) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_36,plain,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
cnf(c_0_37,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(k4_pre_topc(X1,esk2_0,X2,X3),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v1_finset_1(k4_pre_topc(X1,esk2_0,X2,X3))
| ~ r4_waybel_0(X1,esk2_0,X2,X3)
| v3_struct_0(X1)
| r4_waybel_0(X1,esk3_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X3) ),
inference(sr,[status(thm)],[inference(sr,[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(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22]),c_0_24]),c_0_25]),c_0_26]),c_0_27])]),c_0_28]),c_0_29]) ).
cnf(c_0_40,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& v1_funct_2(X5,X2,X3)
& v1_funct_1(X5)
& m1_relset_1(X4,X1,X2)
& v1_funct_2(X4,X1,X2)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2) )
=> ( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
fof(c_0_43,plain,
! [X104,X105,X106,X107,X108] :
( k7_funct_2(X104,X105,X106,X107,X108) = k5_relat_1(X107,X108)
| ~ m1_relset_1(X108,X105,X106)
| ~ v1_funct_2(X108,X105,X106)
| ~ v1_funct_1(X108)
| ~ m1_relset_1(X107,X104,X105)
| ~ v1_funct_2(X107,X104,X105)
| ~ v1_funct_1(X107)
| v1_xboole_0(X105) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_44,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( ~ l1_orders_2(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_finset_1(k4_pre_topc(X1,esk2_0,X2,X3))
| ~ r4_waybel_0(X1,esk2_0,X2,X3)
| ~ l1_struct_0(esk2_0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| v3_struct_0(X1)
| r4_waybel_0(X1,esk3_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_38]) ).
cnf(c_0_47,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_48,plain,
! [X58,X59,X60,X61,X62] :
( ( ~ m1_relset_1(X62,X59,X60)
| ~ v1_funct_2(X62,X59,X60)
| ~ v1_funct_1(X62)
| ~ m1_relset_1(X61,X58,X59)
| ~ v1_funct_2(X61,X58,X59)
| ~ v1_funct_1(X61)
| v1_xboole_0(X59)
| m2_relset_1(k7_funct_2(X58,X59,X60,X61,X62),X58,X60) )
& ( ~ m1_relset_1(X62,X59,X60)
| ~ v1_funct_2(X62,X59,X60)
| ~ v1_funct_1(X62)
| ~ m1_relset_1(X61,X58,X59)
| ~ v1_funct_2(X61,X58,X59)
| ~ v1_funct_1(X61)
| v1_xboole_0(X59)
| v1_funct_2(k7_funct_2(X58,X59,X60,X61,X62),X58,X60) )
& ( ~ m1_relset_1(X62,X59,X60)
| ~ v1_funct_2(X62,X59,X60)
| ~ v1_funct_1(X62)
| ~ m1_relset_1(X61,X58,X59)
| ~ v1_funct_2(X61,X58,X59)
| ~ v1_funct_1(X61)
| v1_xboole_0(X59)
| v1_funct_1(k7_funct_2(X58,X59,X60,X61,X62)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).
cnf(c_0_49,plain,
( ~ m1_relset_1(X4,X1,X5)
| ~ v1_funct_2(X4,X1,X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_2(X2,X3,X1)
| ~ v1_funct_1(X2)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_44,c_0_22]) ).
cnf(c_0_51,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_27]),c_0_28]) ).
cnf(c_0_52,negated_conjecture,
( ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_finset_1(k4_pre_topc(X1,esk2_0,X2,X3))
| ~ r4_waybel_0(X1,esk2_0,X2,X3)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| v3_struct_0(X1)
| r4_waybel_0(X1,esk3_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_38]),c_0_27])]) ).
cnf(c_0_53,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_55,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_58,plain,
( ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0) = k5_relat_1(X2,esk5_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_60,plain,
( ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
( ~ m1_relset_1(X5,X2,X3)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_1(X5)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X4,X1,X2)
| ~ v1_funct_1(X4)
| v1_xboole_0(X2)
| v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_62,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ r4_waybel_0(X1,X2,X3,esk6_3(X1,X2,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v4_waybel34(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_63,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k4_pre_topc(esk1_0,esk2_0,esk4_0,X1))
| ~ r4_waybel_0(esk1_0,esk2_0,esk4_0,X1)
| r4_waybel_0(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_56])]),c_0_57]) ).
cnf(c_0_64,negated_conjecture,
~ v4_waybel34(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| v1_funct_1(k5_relat_1(X1,esk5_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_58,c_0_59]),c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
fof(c_0_66,plain,
! [X36,X37,X38] :
( v1_relat_1(X38)
| ~ m1_subset_1(X38,k1_zfmisc_1(k2_zfmisc_1(X36,X37))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_67,plain,
! [X64,X65,X66] :
( m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(X64,X65)))
| ~ m2_relset_1(X66,X64,X65) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_68,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v4_waybel34(X3,X1,X2)
| v1_finset_1(esk6_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_69,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_70,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_71,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
( ~ v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_3(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k4_pre_topc(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0))))
| ~ r4_waybel_0(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_26]),c_0_56])]),c_0_64]),c_0_57]),c_0_29]) ).
cnf(c_0_73,negated_conjecture,
v1_funct_1(k5_relat_1(esk4_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_53]),c_0_54]),c_0_55])]) ).
fof(c_0_74,plain,
! [X100,X101,X102,X103] :
( k4_pre_topc(X100,X101,X102,X103) = k9_relat_1(X102,X103)
| ~ m1_relset_1(X102,u1_struct_0(X100),u1_struct_0(X101))
| ~ v1_funct_2(X102,u1_struct_0(X100),u1_struct_0(X101))
| ~ v1_funct_1(X102)
| ~ l1_struct_0(X101)
| ~ l1_struct_0(X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])])]) ).
cnf(c_0_75,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| v3_struct_0(X1)
| v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,esk3_0)
| v1_finset_1(esk6_3(X1,esk3_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_26])]),c_0_29]),c_0_70]),c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k4_pre_topc(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0))))
| ~ r4_waybel_0(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_59]),c_0_73]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_79,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_80,plain,
! [X77,X78] :
( v1_finset_1(k9_relat_1(X77,X78))
| ~ v1_finset_1(X78)
| ~ v1_funct_1(X77)
| ~ v1_relat_1(X77) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])])]) ).
cnf(c_0_81,plain,
( ~ m2_relset_1(X1,X2,X3)
| v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
v1_finset_1(esk6_3(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0))),
inference(sr,[status(thm)],[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_77,c_0_53]),c_0_54]),c_0_55]),c_0_56])]),c_0_64]),c_0_57]) ).
cnf(c_0_83,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k9_relat_1(esk4_0,esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0))))
| ~ r4_waybel_0(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_84,plain,
( ~ v1_finset_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| v1_finset_1(k9_relat_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_85,negated_conjecture,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_81,c_0_47]) ).
cnf(c_0_86,negated_conjecture,
v1_finset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_59]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_87,negated_conjecture,
v4_waybel34(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_88,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v3_struct_0(X1)
| v3_struct_0(X2)
| v4_waybel34(X3,X1,X2)
| m1_subset_1(esk6_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_89,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| m2_relset_1(k5_relat_1(X1,esk5_0),X2,u1_struct_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_60,c_0_59]),c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_90,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| v1_funct_2(k5_relat_1(X1,esk5_0),X2,u1_struct_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_61,c_0_59]),c_0_50]),c_0_24]),c_0_25])]),c_0_51]) ).
cnf(c_0_91,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ r4_waybel_0(esk1_0,esk2_0,esk4_0,esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86]),c_0_55])]) ).
cnf(c_0_92,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(X1)
| r4_waybel_0(esk1_0,esk2_0,esk4_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[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(spm,[status(thm)],[c_0_21,c_0_47]),c_0_87]),c_0_54]),c_0_55]),c_0_27]),c_0_56])]),c_0_57]),c_0_28]) ).
cnf(c_0_93,negated_conjecture,
( ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| v3_struct_0(X1)
| v4_waybel34(k5_relat_1(X2,esk5_0),X1,esk3_0)
| m1_subset_1(esk6_3(X1,esk3_0,k5_relat_1(X2,esk5_0)),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_26])]),c_0_29]),c_0_65]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
~ v4_waybel34(k5_relat_1(esk4_0,esk5_0),esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_59]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_95,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m1_subset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_86])]) ).
cnf(c_0_96,negated_conjecture,
m1_subset_1(esk6_3(esk1_0,esk3_0,k5_relat_1(esk4_0,esk5_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[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_93,c_0_53]),c_0_54]),c_0_55]),c_0_56])]),c_0_94]),c_0_57]) ).
cnf(c_0_97,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).
cnf(c_0_98,negated_conjecture,
( ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_89]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_99,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_90]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_100,negated_conjecture,
~ l1_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_38]),c_0_56])]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_38]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT378+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 23:56:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 14.82/2.35 % Version: 3.5.1
% 14.82/2.35 % Preprocessing class: FSLSSMSSSSSNFFN.
% 14.82/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.82/2.35 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 14.82/2.35 % Starting new_bool_3 with 300s (1) cores
% 14.82/2.35 % Starting new_bool_1 with 300s (1) cores
% 14.82/2.35 % Starting sh5l with 300s (1) cores
% 14.82/2.35 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3912599 completed with status 0
% 14.82/2.35 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 14.82/2.35 % Preprocessing class: FSLSSMSSSSSNFFN.
% 14.82/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.82/2.35 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 14.82/2.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.82/2.35 % No SInE strategy applied
% 14.82/2.35 % Search class: FGHSM-FFMM32-SFFFFFNN
% 14.82/2.35 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.82/2.35 % Starting SubtermCWHack with 136s (1) cores
% 14.82/2.35 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 14.82/2.35 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 14.82/2.35 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 14.82/2.35 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 14.82/2.35 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 3912609 completed with status 0
% 14.82/2.35 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN
% 14.82/2.35 % Preprocessing class: FSLSSMSSSSSNFFN.
% 14.82/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.82/2.35 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 14.82/2.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 14.82/2.35 % No SInE strategy applied
% 14.82/2.35 % Search class: FGHSM-FFMM32-SFFFFFNN
% 14.82/2.35 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 14.82/2.35 % Starting SubtermCWHack with 136s (1) cores
% 14.82/2.35 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 14.82/2.35 % Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 316s (1) cores
% 14.82/2.35 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 14.82/2.35 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 14.82/2.35 % Preprocessing time : 0.015 s
% 14.82/2.35
% 14.82/2.35 % Proof found!
% 14.82/2.35 % SZS status Theorem
% 14.82/2.35 % SZS output start CNFRefutation
% See solution above
% 14.82/2.35 % Parsed axioms : 69
% 14.82/2.35 % Removed by relevancy pruning/SinE : 0
% 14.82/2.35 % Initial clauses : 139
% 14.82/2.35 % Removed in clause preprocessing : 10
% 14.82/2.35 % Initial clauses in saturation : 129
% 14.82/2.35 % Processed clauses : 6045
% 14.82/2.35 % ...of these trivial : 2
% 14.82/2.35 % ...subsumed : 3204
% 14.82/2.35 % ...remaining for further processing : 2839
% 14.82/2.35 % Other redundant clauses eliminated : 0
% 14.82/2.35 % Clauses deleted for lack of memory : 0
% 14.82/2.35 % Backward-subsumed : 638
% 14.82/2.35 % Backward-rewritten : 6
% 14.82/2.35 % Generated clauses : 17911
% 14.82/2.35 % ...of the previous two non-redundant : 17370
% 14.82/2.35 % ...aggressively subsumed : 0
% 14.82/2.35 % Contextual simplify-reflections : 384
% 14.82/2.35 % Paramodulations : 17899
% 14.82/2.35 % Factorizations : 12
% 14.82/2.35 % NegExts : 0
% 14.82/2.35 % Equation resolutions : 0
% 14.82/2.35 % Disequality decompositions : 0
% 14.82/2.35 % Total rewrite steps : 2514
% 14.82/2.35 % ...of those cached : 2444
% 14.82/2.35 % Propositional unsat checks : 0
% 14.82/2.35 % Propositional check models : 0
% 14.82/2.35 % Propositional check unsatisfiable : 0
% 14.82/2.35 % Propositional clauses : 0
% 14.82/2.35 % Propositional clauses after purity: 0
% 14.82/2.35 % Propositional unsat core size : 0
% 14.82/2.35 % Propositional preprocessing time : 0.000
% 14.82/2.35 % Propositional encoding time : 0.000
% 14.82/2.35 % Propositional solver time : 0.000
% 14.82/2.35 % Success case prop preproc time : 0.000
% 14.82/2.35 % Success case prop encoding time : 0.000
% 14.82/2.35 % Success case prop solver time : 0.000
% 14.82/2.35 % Current number of processed clauses : 2195
% 14.82/2.35 % Positive orientable unit clauses : 78
% 14.82/2.35 % Positive unorientable unit clauses: 0
% 14.82/2.35 % Negative unit clauses : 13
% 14.82/2.35 % Non-unit-clauses : 2104
% 14.82/2.35 % Current number of unprocessed clauses: 11416
% 14.82/2.35 % ...number of literals in the above : 54724
% 14.82/2.35 % Current number of archived formulas : 0
% 14.82/2.35 % Current number of archived clauses : 644
% 14.82/2.35 % Clause-clause subsumption calls (NU) : 3763501
% 14.82/2.35 % Rec. Clause-clause subsumption calls : 546233
% 14.82/2.35 % Non-unit clause-clause subsumptions : 3504
% 14.82/2.35 % Unit Clause-clause subsumption calls : 9889
% 14.82/2.35 % Rewrite failures with RHS unbound : 0
% 14.82/2.35 % BW rewrite match attempts : 30
% 14.82/2.35 % BW rewrite match successes : 3
% 14.82/2.35 % Condensation attempts : 0
% 14.82/2.35 % Condensation successes : 0
% 14.82/2.35 % Termbank termtop insertions : 465703
% 14.82/2.35 % Search garbage collected termcells : 1662
% 14.82/2.35
% 14.82/2.35 % -------------------------------------------------
% 14.82/2.35 % User time : 1.866 s
% 14.82/2.35 % System time : 0.025 s
% 14.82/2.35 % Total time : 1.891 s
% 14.82/2.35 % Maximum resident set size: 3968 pages
% 14.82/2.35
% 14.82/2.35 % -------------------------------------------------
% 14.82/2.35 % User time : 9.251 s
% 14.82/2.35 % System time : 0.152 s
% 14.82/2.35 % Total time : 9.403 s
% 14.82/2.35 % Maximum resident set size: 4864 pages
% 14.82/2.35 % E exiting
%------------------------------------------------------------------------------