TSTP Solution File: TOP041+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP041+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : Thu Jul 21 21:25:33 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 85 ( 13 unt; 0 def)
% Number of atoms : 520 ( 41 equ)
% Maximal formula atoms : 63 ( 6 avg)
% Number of connectives : 755 ( 320 ~; 333 |; 62 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 163 ( 8 sgn 91 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ( m1_tsp_1(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v3_pre_topc(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X4,X1)
& X3 = k3_xboole_0(X4,u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_tsp_1) ).
fof(dt_m1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m1_tsp_1) ).
fof(t34_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t34_tsp_2) ).
fof(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_pre_topc) ).
fof(t1_tsep_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_tsep_1) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_tsp_1) ).
fof(d12_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k4_tsp_2(X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = u1_struct_0(X2)
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_tsp_2) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_k4_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_tsp_2) ).
fof(t58_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t58_tex_4) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_subset_1) ).
fof(commutativity_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k5_subset_1) ).
fof(redefinition_m1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m1_tsp_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t3_subset) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_tsp_1) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_pre_topc) ).
fof(c_0_16,plain,
! [X5,X6,X7,X9,X11] :
( ( r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| ~ m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( m1_subset_1(esk6_3(X5,X6,X7),k1_zfmisc_1(u1_struct_0(X5)))
| ~ v3_pre_topc(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( v3_pre_topc(esk6_3(X5,X6,X7),X5)
| ~ v3_pre_topc(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( X7 = k3_xboole_0(esk6_3(X5,X6,X7),u1_struct_0(X6))
| ~ v3_pre_topc(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X5)))
| ~ v3_pre_topc(X9,X5)
| X7 != k3_xboole_0(X9,u1_struct_0(X6))
| v3_pre_topc(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( m1_subset_1(esk7_2(X5,X6),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( ~ v3_pre_topc(esk7_2(X5,X6),X6)
| ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X5)))
| ~ v3_pre_topc(X11,X5)
| esk7_2(X5,X6) != k3_xboole_0(X11,u1_struct_0(X6))
| ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( m1_subset_1(esk8_2(X5,X6),k1_zfmisc_1(u1_struct_0(X5)))
| v3_pre_topc(esk7_2(X5,X6),X6)
| ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( v3_pre_topc(esk8_2(X5,X6),X5)
| v3_pre_topc(esk7_2(X5,X6),X6)
| ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(X5) )
& ( esk7_2(X5,X6) = k3_xboole_0(esk8_2(X5,X6),u1_struct_0(X6))
| v3_pre_topc(esk7_2(X5,X6),X6)
| ~ r1_tarski(u1_struct_0(X6),u1_struct_0(X5))
| m1_tsp_1(X6,X5)
| ~ l1_pre_topc(X6)
| ~ l1_pre_topc(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)],[d1_tsp_1])])])])])])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_tsp_1(X4,X3)
| l1_pre_topc(X4) ),
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)],[dt_m1_tsp_1])])])])]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[t34_tsp_2]) ).
cnf(c_0_19,plain,
( v3_pre_topc(X3,X2)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m1_tsp_1(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| X3 != k3_xboole_0(X4,u1_struct_0(X2))
| ~ v3_pre_topc(X4,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( l1_pre_topc(X1)
| ~ m1_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v3_pre_topc(esk3_0,esk1_0)
& ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_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_18])])])])])]) ).
cnf(c_0_22,plain,
( v3_pre_topc(X1,X2)
| X1 != k3_xboole_0(X3,u1_struct_0(X2))
| ~ m1_tsp_1(X2,X4)
| ~ v3_pre_topc(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X4) ),
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
v3_pre_topc(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X5,X6,X7,X8] :
( ~ l1_struct_0(X5)
| ~ l1_struct_0(X6)
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X5),u1_struct_0(X6))
| ~ m1_relset_1(X7,u1_struct_0(X5),u1_struct_0(X6))
| m1_subset_1(k4_pre_topc(X5,X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])])]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_pre_topc(X4,X3)
| m1_subset_1(u1_struct_0(X4),k1_zfmisc_1(u1_struct_0(X3))) ),
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)],[t1_tsep_1])])])])]) ).
fof(c_0_28,plain,
! [X3,X4,X4] :
( ( ~ m2_tsp_1(X4,X3)
| m1_pre_topc(X4,X3)
| ~ l1_pre_topc(X3) )
& ( ~ m1_pre_topc(X4,X3)
| m2_tsp_1(X4,X3)
| ~ l1_pre_topc(X3) ) ),
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)],[redefinition_m2_tsp_1])])])])])]) ).
cnf(c_0_29,negated_conjecture,
( v3_pre_topc(X1,X2)
| X1 != k3_xboole_0(esk3_0,u1_struct_0(X2))
| ~ m1_tsp_1(X2,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]) ).
cnf(c_0_30,plain,
( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X6,X7,X8,X9,X10] :
( ( X8 != k4_tsp_2(X6,X7)
| ~ m1_subset_1(X9,k1_zfmisc_1(u1_struct_0(X6)))
| X9 != u1_struct_0(X7)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X6)))
| k5_subset_1(u1_struct_0(X6),X9,k3_tex_4(X6,X10)) = k4_pre_topc(X6,X7,X8,X10)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ v5_pre_topc(X8,X6,X7)
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk4_3(X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6)))
| X8 = k4_tsp_2(X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ v5_pre_topc(X8,X6,X7)
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( esk4_3(X6,X7,X8) = u1_struct_0(X7)
| X8 = k4_tsp_2(X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ v5_pre_topc(X8,X6,X7)
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk5_3(X6,X7,X8),k1_zfmisc_1(u1_struct_0(X6)))
| X8 = k4_tsp_2(X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ v5_pre_topc(X8,X6,X7)
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(X6) )
& ( k5_subset_1(u1_struct_0(X6),esk4_3(X6,X7,X8),k3_tex_4(X6,esk5_3(X6,X7,X8))) != k4_pre_topc(X6,X7,X8,esk5_3(X6,X7,X8))
| X8 = k4_tsp_2(X6,X7)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,u1_struct_0(X6),u1_struct_0(X7))
| ~ v5_pre_topc(X8,X6,X7)
| ~ m2_relset_1(X8,u1_struct_0(X6),u1_struct_0(X7))
| v3_struct_0(X7)
| ~ v2_tsp_2(X7,X6)
| ~ m2_tsp_1(X7,X6)
| v3_struct_0(X6)
| ~ v2_pre_topc(X6)
| ~ l1_pre_topc(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)],[d12_tsp_2])])])])])])])]) ).
cnf(c_0_32,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),X2)
| k4_pre_topc(X1,X2,X3,X4) != k3_xboole_0(esk3_0,u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m1_tsp_1(X2,esk1_0)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
| X4 != u1_struct_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| X3 != k4_tsp_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
cnf(c_0_39,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( k4_pre_topc(X1,X2,X3,X4) = k5_subset_1(u1_struct_0(X1),u1_struct_0(X2),k3_tex_4(X1,X4))
| v3_struct_0(X2)
| v3_struct_0(X1)
| X3 != k4_tsp_2(X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,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)))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_37]) ).
cnf(c_0_41,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_43,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,plain,
! [X3,X4] :
( ( v1_funct_1(k4_tsp_2(X3,X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( v1_funct_2(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( v5_pre_topc(k4_tsp_2(X3,X4),X3,X4)
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) )
& ( m2_relset_1(k4_tsp_2(X3,X4),u1_struct_0(X3),u1_struct_0(X4))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| v3_struct_0(X4)
| ~ v2_tsp_2(X4,X3)
| ~ m1_pre_topc(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k4_tsp_2])])])]) ).
cnf(c_0_48,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
| ~ v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_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_39,c_0_40]),c_0_23]),c_0_41]),c_0_42]),c_0_25]),c_0_43])]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_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_48,c_0_49]),c_0_42]),c_0_25]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_pre_topc(k4_tsp_2(X2,X1),X2,X1)
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_52,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_pre_topc(X4,X3)
| k3_tex_4(X3,X4) = X4 ),
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)],[t58_tex_4])])])])])]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k3_xboole_0(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| k5_subset_1(X4,X5,X6) = k5_subset_1(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])]) ).
cnf(c_0_55,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_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_50,c_0_51]),c_0_42]),c_0_25]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_56,plain,
( k3_tex_4(X1,X2) = X2
| v3_struct_0(X1)
| ~ v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,plain,
( k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0) != k3_xboole_0(esk3_0,u1_struct_0(esk2_0))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0) ),
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(spm,[status(thm)],[c_0_55,c_0_56]),c_0_24]),c_0_23]),c_0_25]),c_0_43])]),c_0_45]) ).
cnf(c_0_60,plain,
( k5_subset_1(X1,X2,X3) = k3_xboole_0(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_23])]) ).
cnf(c_0_62,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_63,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k4_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_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_63,c_0_64]),c_0_42]),c_0_25]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_66,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(k4_tsp_2(X2,X1))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_67,plain,
! [X3,X4,X4] :
( ( ~ m1_tsp_1(X4,X3)
| m1_pre_topc(X4,X3)
| ~ l1_pre_topc(X3) )
& ( ~ m1_pre_topc(X4,X3)
| m1_tsp_1(X4,X3)
| ~ l1_pre_topc(X3) ) ),
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)],[redefinition_m1_tsp_1])])])])])]) ).
fof(c_0_68,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
cnf(c_0_69,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_tsp_1(esk2_0,esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_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_65,c_0_66]),c_0_42]),c_0_25]),c_0_43])]),c_0_44]),c_0_45]) ).
cnf(c_0_70,plain,
( m1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_71,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_25])]) ).
cnf(c_0_73,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_37]) ).
fof(c_0_74,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m2_tsp_1(X4,X3)
| l1_pre_topc(X4) ),
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)],[dt_m2_tsp_1])])])])]) ).
cnf(c_0_75,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_33]),c_0_41]),c_0_25])]) ).
cnf(c_0_76,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,negated_conjecture,
r1_tarski(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_41]),c_0_25])]) ).
fof(c_0_78,plain,
! [X2] :
( ~ l1_pre_topc(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_79,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_81,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_82,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_41]),c_0_25])]) ).
cnf(c_0_83,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_81]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : TOP041+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 09:13:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.028 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 85
% 0.25/1.43 # Proof object clause steps : 52
% 0.25/1.43 # Proof object formula steps : 33
% 0.25/1.43 # Proof object conjectures : 30
% 0.25/1.43 # Proof object clause conjectures : 27
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 29
% 0.25/1.43 # Proof object initial formulas used : 16
% 0.25/1.43 # Proof object generating inferences : 22
% 0.25/1.43 # Proof object simplifying inferences : 61
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 125
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 301
% 0.25/1.43 # Removed in clause preprocessing : 43
% 0.25/1.43 # Initial clauses in saturation : 258
% 0.25/1.43 # Processed clauses : 6339
% 0.25/1.43 # ...of these trivial : 341
% 0.25/1.43 # ...subsumed : 2442
% 0.25/1.43 # ...remaining for further processing : 3556
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 62
% 0.25/1.43 # Backward-rewritten : 21
% 0.25/1.43 # Generated clauses : 30783
% 0.25/1.43 # ...of the previous two non-trivial : 28774
% 0.25/1.43 # Contextual simplify-reflections : 1196
% 0.25/1.43 # Paramodulations : 30630
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 25
% 0.25/1.43 # Current number of processed clauses : 3381
% 0.25/1.43 # Positive orientable unit clauses : 542
% 0.25/1.43 # Positive unorientable unit clauses: 1
% 0.25/1.43 # Negative unit clauses : 19
% 0.25/1.43 # Non-unit-clauses : 2819
% 0.25/1.43 # Current number of unprocessed clauses: 22243
% 0.25/1.43 # ...number of literals in the above : 66885
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 83
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 1654132
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 643134
% 0.25/1.43 # Non-unit clause-clause subsumptions : 3791
% 0.25/1.43 # Unit Clause-clause subsumption calls : 50539
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 91774
% 0.25/1.43 # BW rewrite match successes : 16
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 572806
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.701 s
% 0.25/1.43 # System time : 0.010 s
% 0.25/1.43 # Total time : 0.711 s
% 0.25/1.43 # Maximum resident set size: 28076 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: CPU time limit exceeded, terminating
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------