%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT379+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 04:48:10 EDT 2022
% Result : Theorem 0.12s 1.32s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 319 ( 3 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 425 ( 162 ~; 178 |; 56 &)
% ( 3 <=>; 26 =>; 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 : 88 ( 4 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t65_waybel34) ).
fof(d15_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d15_waybel34) ).
fof(d35_waybel_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d35_waybel_0) ).
fof(fc2_finset_1,axiom,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_finset_1) ).
fof(redefinition_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k2_struct_0) ).
fof(dt_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_struct_0) ).
fof(d16_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d16_waybel34) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k1_pre_topc) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_finset_1) ).
fof(fc1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_xboole_0(k1_pre_topc(X1))
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_pre_topc) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t65_waybel34]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] :
( ( ~ v4_waybel34(X7,X5,X6)
| ~ v1_finset_1(X8)
| ~ m1_subset_1(X8,k1_zfmisc_1(u1_struct_0(X5)))
| r4_waybel_0(X5,X6,X7,X8)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( v1_finset_1(esk6_3(X5,X6,X7))
| v4_waybel34(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( m1_subset_1(esk6_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
| v4_waybel34(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) )
& ( ~ r4_waybel_0(X5,X6,X7,esk6_3(X5,X6,X7))
| v4_waybel34(X7,X5,X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m2_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| v3_struct_0(X6)
| ~ l1_orders_2(X6)
| v3_struct_0(X5)
| ~ l1_orders_2(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d15_waybel34])])])])])])])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v4_waybel34(esk3_0,esk1_0,esk2_0)
& ( ~ v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v5_waybel34(esk3_0,esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_14,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ v20_waybel_0(X8,X6,X7)
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X10,u1_struct_0(X6))
| r4_waybel_0(X6,X7,X8,k2_struct_0(X6,X9,X10))
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( m1_subset_1(esk4_3(X6,X7,X8),u1_struct_0(X6))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( m1_subset_1(esk5_3(X6,X7,X8),u1_struct_0(X6))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) )
& ( ~ r4_waybel_0(X6,X7,X8,k2_struct_0(X6,esk4_3(X6,X7,X8),esk5_3(X6,X7,X8)))
| v20_waybel_0(X8,X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ l1_orders_2(X7)
| v3_struct_0(X6)
| ~ l1_orders_2(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d35_waybel_0])])])])])])])]) ).
cnf(c_0_15,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r4_waybel_0(X1,X2,X3,X4)
| ~ 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)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_finset_1(X4)
| ~ v4_waybel34(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
v4_waybel34(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_24,plain,
! [X3,X4,X3,X4] :
( ~ v1_xboole_0(k2_tarski(X3,X4))
& v1_finset_1(k2_tarski(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc2_finset_1])])])]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_struct_0(X4,X5,X6) = k2_tarski(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k2_struct_0])])]) ).
cnf(c_0_26,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v20_waybel_0(X3,X1,X2)
| ~ 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))) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( r4_waybel_0(esk1_0,esk2_0,esk3_0,X1)
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X1,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_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)))
| ~ 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))) ),
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_26,c_0_27]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_31,plain,
( v1_finset_1(k2_struct_0(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_32,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ l1_struct_0(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| m1_subset_1(k2_struct_0(X4,X5,X6),k1_zfmisc_1(u1_struct_0(X4))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_struct_0])])]) ).
cnf(c_0_33,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ 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)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_22]) ).
cnf(c_0_34,plain,
( m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X4,X5,X6] :
( ( ~ v5_waybel34(X6,X4,X5)
| r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) )
& ( ~ r4_waybel_0(X4,X5,X6,k1_pre_topc(X4))
| v5_waybel34(X6,X4,X5)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X4),u1_struct_0(X5))
| ~ m2_relset_1(X6,u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ l1_orders_2(X5)
| v3_struct_0(X4)
| ~ l1_orders_2(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d16_waybel34])])])])])])]) ).
cnf(c_0_36,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_22]) ).
cnf(c_0_37,plain,
( 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_38,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_13]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_waybel34(X3,X1,X2)
| ~ 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)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_41,plain,
( 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))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_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_38,c_0_39]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
cnf(c_0_43,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ l1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),c_0_22]),c_0_23]) ).
fof(c_0_44,plain,
! [X2] :
( ~ l1_struct_0(X2)
| m1_subset_1(k1_pre_topc(X2),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_pre_topc])]) ).
cnf(c_0_45,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_47,plain,
! [X2] :
( ~ v1_xboole_0(X2)
| v1_finset_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(c_0_48,plain,
! [X2] :
( ( v1_xboole_0(k1_pre_topc(X2))
| ~ l1_struct_0(X2) )
& ( v1_membered(k1_pre_topc(X2))
| ~ l1_struct_0(X2) )
& ( v2_membered(k1_pre_topc(X2))
| ~ l1_struct_0(X2) )
& ( v3_membered(k1_pre_topc(X2))
| ~ l1_struct_0(X2) )
& ( v4_membered(k1_pre_topc(X2))
| ~ l1_struct_0(X2) )
& ( v5_membered(k1_pre_topc(X2))
| ~ l1_struct_0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ v1_finset_1(k1_pre_topc(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_27]),c_0_46]) ).
cnf(c_0_50,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_52,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_53,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_54,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : LAT379+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.08 % Command : run_ET %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Wed Jun 29 13:32:43 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.12/1.32 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.12/1.32 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.12/1.32 # Preprocessing time : 0.012 s
% 0.12/1.32
% 0.12/1.32 # Proof found!
% 0.12/1.32 # SZS status Theorem
% 0.12/1.32 # SZS output start CNFRefutation
% See solution above
% 0.12/1.32 # Proof object total steps : 56
% 0.12/1.32 # Proof object clause steps : 33
% 0.12/1.32 # Proof object formula steps : 23
% 0.12/1.32 # Proof object conjectures : 23
% 0.12/1.32 # Proof object clause conjectures : 20
% 0.12/1.32 # Proof object formula conjectures : 3
% 0.12/1.32 # Proof object initial clauses used : 21
% 0.12/1.32 # Proof object initial formulas used : 11
% 0.12/1.32 # Proof object generating inferences : 12
% 0.12/1.32 # Proof object simplifying inferences : 46
% 0.12/1.32 # Training examples: 0 positive, 0 negative
% 0.12/1.32 # Parsed axioms : 83
% 0.12/1.32 # Removed by relevancy pruning/SinE : 46
% 0.12/1.32 # Initial clauses : 84
% 0.12/1.32 # Removed in clause preprocessing : 0
% 0.12/1.32 # Initial clauses in saturation : 84
% 0.12/1.32 # Processed clauses : 294
% 0.12/1.32 # ...of these trivial : 0
% 0.12/1.32 # ...subsumed : 120
% 0.12/1.32 # ...remaining for further processing : 174
% 0.12/1.32 # Other redundant clauses eliminated : 0
% 0.12/1.32 # Clauses deleted for lack of memory : 0
% 0.12/1.32 # Backward-subsumed : 3
% 0.12/1.32 # Backward-rewritten : 0
% 0.12/1.32 # Generated clauses : 312
% 0.12/1.32 # ...of the previous two non-trivial : 302
% 0.12/1.32 # Contextual simplify-reflections : 105
% 0.12/1.32 # Paramodulations : 312
% 0.12/1.32 # Factorizations : 0
% 0.12/1.32 # Equation resolutions : 0
% 0.12/1.32 # Current number of processed clauses : 171
% 0.12/1.32 # Positive orientable unit clauses : 18
% 0.12/1.32 # Positive unorientable unit clauses: 1
% 0.12/1.32 # Negative unit clauses : 8
% 0.12/1.32 # Non-unit-clauses : 144
% 0.12/1.32 # Current number of unprocessed clauses: 90
% 0.12/1.32 # ...number of literals in the above : 659
% 0.12/1.32 # Current number of archived formulas : 0
% 0.12/1.32 # Current number of archived clauses : 3
% 0.12/1.32 # Clause-clause subsumption calls (NU) : 10265
% 0.12/1.32 # Rec. Clause-clause subsumption calls : 6088
% 0.12/1.32 # Non-unit clause-clause subsumptions : 224
% 0.12/1.32 # Unit Clause-clause subsumption calls : 29
% 0.12/1.32 # Rewrite failures with RHS unbound : 0
% 0.12/1.32 # BW rewrite match attempts : 2
% 0.12/1.32 # BW rewrite match successes : 2
% 0.12/1.32 # Condensation attempts : 0
% 0.12/1.32 # Condensation successes : 0
% 0.12/1.32 # Termbank termtop insertions : 11149
% 0.12/1.32
% 0.12/1.32 # -------------------------------------------------
% 0.12/1.32 # User time : 0.017 s
% 0.12/1.32 # System time : 0.005 s
% 0.12/1.32 # Total time : 0.022 s
% 0.12/1.32 # Maximum resident set size: 3464 pages
% 0.12/23.32 eprover: CPU time limit exceeded, terminating
% 0.12/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.35 eprover: No such file or directory
% 0.12/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.35 eprover: No such file or directory
% 0.12/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.36 eprover: No such file or directory
% 0.12/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.37 eprover: No such file or directory
% 0.12/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.37 eprover: No such file or directory
% 0.12/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.38 eprover: No such file or directory
% 0.12/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.38 eprover: No such file or directory
% 0.12/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.38 eprover: No such file or directory
% 0.12/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.39 eprover: No such file or directory
% 0.12/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.39 eprover: No such file or directory
% 0.12/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.12/23.40 eprover: No such file or directory
%------------------------------------------------------------------------------