%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT379+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 : n015.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 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 11 unt; 0 def)
% Number of atoms : 371 ( 4 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 482 ( 174 ~; 177 |; 81 &)
% ( 6 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 109 ( 2 sgn 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_waybel34,conjecture,
! [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)
=> ( v5_waybel34(X3,X1,X2)
& v20_waybel_0(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_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/sandbox/benchmark/theBenchmark.p',d15_waybel34) ).
fof(d16_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) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_waybel34) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(d35_waybel_0,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) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(dt_k1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
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(redefinition_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(fc2_finset_1,axiom,
! [X1,X2] :
( v1_finset_1(k2_tarski(X1,X2))
& ~ v1_xboole_0(k2_tarski(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(dt_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(c_0_11,negated_conjecture,
~ ! [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)
=> ( v5_waybel34(X3,X1,X2)
& v20_waybel_0(X3,X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t65_waybel34]) ).
fof(c_0_12,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_13,negated_conjecture,
~ ! [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)
=> ( v5_waybel34(X3,X1,X2)
& v20_waybel_0(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
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) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_waybel34]) ).
fof(c_0_15,plain,
! [X19,X20,X21,X22] :
( ( ~ l1_orders_2(X19)
| v3_struct_0(X19)
| ~ l1_orders_2(X20)
| v3_struct_0(X20)
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| v4_waybel34(X21,X19,X20)
| ~ r4_waybel_0(X19,X20,X21,esk6_3(X19,X20,X21)) )
& ( ~ l1_orders_2(X19)
| v3_struct_0(X19)
| ~ l1_orders_2(X20)
| v3_struct_0(X20)
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| v4_waybel34(X21,X19,X20)
| m1_subset_1(esk6_3(X19,X20,X21),k1_zfmisc_1(u1_struct_0(X19))) )
& ( ~ l1_orders_2(X19)
| v3_struct_0(X19)
| ~ l1_orders_2(X20)
| v3_struct_0(X20)
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| v4_waybel34(X21,X19,X20)
| v1_finset_1(esk6_3(X19,X20,X21)) )
& ( ~ l1_orders_2(X19)
| v3_struct_0(X19)
| ~ l1_orders_2(X20)
| v3_struct_0(X20)
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| r4_waybel_0(X19,X20,X21,X22)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X19)))
| ~ v1_finset_1(X22)
| ~ v4_waybel34(X21,X19,X20) ) ),
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_12])])])])])]) ).
fof(c_0_16,negated_conjecture,
( ( ~ v5_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v20_waybel_0(esk3_0,esk1_0,esk2_0) )
& v4_waybel34(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(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_13])])])]) ).
fof(c_0_17,plain,
! [X9,X10,X11] :
( ( ~ l1_orders_2(X9)
| v3_struct_0(X9)
| ~ l1_orders_2(X10)
| v3_struct_0(X10)
| ~ m2_relset_1(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ v1_funct_2(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ v1_funct_1(X11)
| v5_waybel34(X11,X9,X10)
| ~ r4_waybel_0(X9,X10,X11,k1_pre_topc(X9)) )
& ( ~ l1_orders_2(X9)
| v3_struct_0(X9)
| ~ l1_orders_2(X10)
| v3_struct_0(X10)
| ~ m2_relset_1(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ v1_funct_2(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ v1_funct_1(X11)
| r4_waybel_0(X9,X10,X11,k1_pre_topc(X9))
| ~ v5_waybel34(X11,X9,X10) ) ),
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_14])])])])]) ).
cnf(c_0_18,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_15]) ).
cnf(c_0_19,negated_conjecture,
v4_waybel34(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,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,k1_pre_topc(X1))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v5_waybel34(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,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,esk3_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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]) ).
fof(c_0_29,plain,
! [X53] :
( v1_finset_1(X53)
| ~ v1_xboole_0(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])])]) ).
fof(c_0_30,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) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d35_waybel_0]) ).
cnf(c_0_31,negated_conjecture,
( ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k1_pre_topc(esk1_0))
| v5_waybel34(esk3_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]) ).
cnf(c_0_32,plain,
( ~ v1_xboole_0(X1)
| v1_finset_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X34] :
( m1_subset_1(k1_pre_topc(X34),k1_zfmisc_1(u1_struct_0(X34)))
| ~ l1_struct_0(X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_pre_topc])])]) ).
fof(c_0_34,plain,
! [X35] :
( ( ~ l1_struct_0(X35)
| v5_membered(k1_pre_topc(X35)) )
& ( ~ l1_struct_0(X35)
| v4_membered(k1_pre_topc(X35)) )
& ( ~ l1_struct_0(X35)
| v3_membered(k1_pre_topc(X35)) )
& ( ~ l1_struct_0(X35)
| v2_membered(k1_pre_topc(X35)) )
& ( ~ l1_struct_0(X35)
| v1_membered(k1_pre_topc(X35)) )
& ( ~ l1_struct_0(X35)
| v1_xboole_0(k1_pre_topc(X35)) ) ),
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_35,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ l1_orders_2(X12)
| v3_struct_0(X12)
| ~ l1_orders_2(X13)
| v3_struct_0(X13)
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_1(X14)
| v20_waybel_0(X14,X12,X13)
| ~ r4_waybel_0(X12,X13,X14,k2_struct_0(X12,esk4_3(X12,X13,X14),esk5_3(X12,X13,X14))) )
& ( ~ l1_orders_2(X12)
| v3_struct_0(X12)
| ~ l1_orders_2(X13)
| v3_struct_0(X13)
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_1(X14)
| v20_waybel_0(X14,X12,X13)
| m1_subset_1(esk5_3(X12,X13,X14),u1_struct_0(X12)) )
& ( ~ l1_orders_2(X12)
| v3_struct_0(X12)
| ~ l1_orders_2(X13)
| v3_struct_0(X13)
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_1(X14)
| v20_waybel_0(X14,X12,X13)
| m1_subset_1(esk4_3(X12,X13,X14),u1_struct_0(X12)) )
& ( ~ l1_orders_2(X12)
| v3_struct_0(X12)
| ~ l1_orders_2(X13)
| v3_struct_0(X13)
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ v1_funct_1(X14)
| r4_waybel_0(X12,X13,X14,k2_struct_0(X12,X15,X16))
| ~ m1_subset_1(X16,u1_struct_0(X12))
| ~ m1_subset_1(X15,u1_struct_0(X12))
| ~ v20_waybel_0(X14,X12,X13) ) ),
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_30])])])])])]) ).
fof(c_0_36,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_struct_0]) ).
fof(c_0_37,plain,
! [X1,X2] :
( v1_finset_1(k2_tarski(X1,X2))
& ~ v1_xboole_0(k2_tarski(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_finset_1]) ).
cnf(c_0_38,negated_conjecture,
( ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_xboole_0(k1_pre_topc(esk1_0))
| v5_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( ~ l1_struct_0(X1)
| m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( ~ l1_struct_0(X1)
| v1_xboole_0(k1_pre_topc(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_41,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k2_struct_0]) ).
cnf(c_0_42,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,k2_struct_0(X1,esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v20_waybel_0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,plain,
! [X42,X43,X44] :
( k2_struct_0(X42,X43,X44) = k2_tarski(X43,X44)
| ~ m1_subset_1(X44,u1_struct_0(X42))
| ~ m1_subset_1(X43,u1_struct_0(X42))
| ~ l1_struct_0(X42)
| v3_struct_0(X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_44,plain,
! [X56,X57] :
( v1_finset_1(k2_tarski(X56,X57))
& ~ v1_xboole_0(k2_tarski(X56,X57)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
( ~ v5_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v20_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_46,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| v5_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
fof(c_0_47,plain,
! [X39,X40,X41] :
( m1_subset_1(k2_struct_0(X39,X40,X41),k1_zfmisc_1(u1_struct_0(X39)))
| ~ m1_subset_1(X41,u1_struct_0(X39))
| ~ m1_subset_1(X40,u1_struct_0(X39))
| ~ l1_struct_0(X39)
| v3_struct_0(X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ m1_subset_1(k2_struct_0(esk1_0,esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_finset_1(k2_struct_0(esk1_0,esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)))
| v20_waybel_0(esk3_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]) ).
cnf(c_0_49,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( ~ v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
( ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0) ),
inference(csr,[status(thm)],[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_25]),c_0_51]) ).
cnf(c_0_54,plain,
( ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ l1_struct_0(X3)
| v3_struct_0(X3)
| m1_subset_1(k2_tarski(X1,X2),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_25]) ).
cnf(c_0_56,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)
| v20_waybel_0(X3,X1,X2)
| m1_subset_1(esk5_3(X1,X2,X3),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(csr,[status(thm)],[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_55,c_0_56]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]),c_0_51]) ).
cnf(c_0_58,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)
| v20_waybel_0(X3,X1,X2)
| m1_subset_1(esk4_3(X1,X2,X3),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_59,plain,
! [X31] :
( l1_struct_0(X31)
| ~ l1_orders_2(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_60,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(csr,[status(thm)],[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_57,c_0_58]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]),c_0_25]),c_0_26]),c_0_51]) ).
cnf(c_0_61,plain,
( ~ l1_orders_2(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT379+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.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 23:59:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.19/0.47 % Version: 3.5.1
% 0.19/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 % Starting sh5l with 300s (1) cores
% 0.19/0.47 % new_bool_1 with pid 105902 completed with status 0
% 0.19/0.47 % Result found by new_bool_1
% 0.19/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.19/0.47 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.47 % SubtermCWHack with pid 105905 completed with status 0
% 0.19/0.47 % Result found by SubtermCWHack
% 0.19/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47 % Search class: FGHSM-FFMM31-SFFFFFNN
% 0.19/0.47 % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 % Starting SubtermCWHack with 28s (1) cores
% 0.19/0.47 % Preprocessing time : 0.002 s
% 0.19/0.47
% 0.19/0.47 % Proof found!
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
% 0.19/0.47 % Parsed axioms : 83
% 0.19/0.47 % Removed by relevancy pruning/SinE : 45
% 0.19/0.47 % Initial clauses : 85
% 0.19/0.47 % Removed in clause preprocessing : 0
% 0.19/0.47 % Initial clauses in saturation : 85
% 0.19/0.47 % Processed clauses : 501
% 0.19/0.47 % ...of these trivial : 1
% 0.19/0.47 % ...subsumed : 262
% 0.19/0.47 % ...remaining for further processing : 238
% 0.19/0.47 % Other redundant clauses eliminated : 0
% 0.19/0.47 % Clauses deleted for lack of memory : 0
% 0.19/0.47 % Backward-subsumed : 6
% 0.19/0.47 % Backward-rewritten : 0
% 0.19/0.47 % Generated clauses : 484
% 0.19/0.47 % ...of the previous two non-redundant : 471
% 0.19/0.47 % ...aggressively subsumed : 0
% 0.19/0.47 % Contextual simplify-reflections : 5
% 0.19/0.47 % Paramodulations : 484
% 0.19/0.47 % Factorizations : 0
% 0.19/0.47 % NegExts : 0
% 0.19/0.47 % Equation resolutions : 0
% 0.19/0.47 % Disequality decompositions : 0
% 0.19/0.47 % Total rewrite steps : 44
% 0.19/0.47 % ...of those cached : 27
% 0.19/0.47 % Propositional unsat checks : 0
% 0.19/0.47 % Propositional check models : 0
% 0.19/0.47 % Propositional check unsatisfiable : 0
% 0.19/0.47 % Propositional clauses : 0
% 0.19/0.47 % Propositional clauses after purity: 0
% 0.19/0.47 % Propositional unsat core size : 0
% 0.19/0.47 % Propositional preprocessing time : 0.000
% 0.19/0.47 % Propositional encoding time : 0.000
% 0.19/0.47 % Propositional solver time : 0.000
% 0.19/0.47 % Success case prop preproc time : 0.000
% 0.19/0.47 % Success case prop encoding time : 0.000
% 0.19/0.47 % Success case prop solver time : 0.000
% 0.19/0.47 % Current number of processed clauses : 232
% 0.19/0.47 % Positive orientable unit clauses : 18
% 0.19/0.47 % Positive unorientable unit clauses: 1
% 0.19/0.47 % Negative unit clauses : 8
% 0.19/0.47 % Non-unit-clauses : 205
% 0.19/0.47 % Current number of unprocessed clauses: 55
% 0.19/0.47 % ...number of literals in the above : 609
% 0.19/0.47 % Current number of archived formulas : 0
% 0.19/0.47 % Current number of archived clauses : 6
% 0.19/0.47 % Clause-clause subsumption calls (NU) : 34077
% 0.19/0.47 % Rec. Clause-clause subsumption calls : 3765
% 0.19/0.47 % Non-unit clause-clause subsumptions : 265
% 0.19/0.47 % Unit Clause-clause subsumption calls : 27
% 0.19/0.47 % Rewrite failures with RHS unbound : 0
% 0.19/0.47 % BW rewrite match attempts : 2
% 0.19/0.47 % BW rewrite match successes : 2
% 0.19/0.47 % Condensation attempts : 0
% 0.19/0.47 % Condensation successes : 0
% 0.19/0.47 % Termbank termtop insertions : 16879
% 0.19/0.47 % Search garbage collected termcells : 1311
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.031 s
% 0.19/0.47 % System time : 0.005 s
% 0.19/0.47 % Total time : 0.036 s
% 0.19/0.47 % Maximum resident set size: 3976 pages
% 0.19/0.47
% 0.19/0.47 % -------------------------------------------------
% 0.19/0.47 % User time : 0.036 s
% 0.19/0.47 % System time : 0.008 s
% 0.19/0.47 % Total time : 0.044 s
% 0.19/0.47 % Maximum resident set size: 4608 pages
% 0.19/0.47 % E exiting
%------------------------------------------------------------------------------