TSTP Solution File: TOP039+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP039+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 0.24s 5.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 26 unt; 0 def)
% Number of atoms : 597 ( 59 equ)
% Maximal formula atoms : 63 ( 5 avg)
% Number of connectives : 880 ( 394 ~; 396 |; 54 &)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 185 ( 8 sgn 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_tsp_1) ).
fof(t32_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)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X3,X1)
| v3_pre_topc(X4,X1) )
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k5_subset_1(u1_struct_0(X1),X3,X4)) = k5_subset_1(u1_struct_0(X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X4)) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t32_tsp_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d12_tsp_2) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_subset_1) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_pre_topc) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k3_xboole_0) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k4_tsp_2) ).
fof(t16_xboole_1,axiom,
! [X1,X2,X3] : k3_xboole_0(k3_xboole_0(X1,X2),X3) = k3_xboole_0(X1,k3_xboole_0(X2,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t16_xboole_1) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X1) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',idempotence_k3_xboole_0) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity_k5_subset_1) ).
fof(t67_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)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X2,X1)
| v3_pre_topc(X3,X1) )
=> k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) = k5_subset_1(u1_struct_0(X1),k3_tex_4(X1,X2),k3_tex_4(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t67_tex_4) ).
fof(dt_k3_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_tex_4) ).
fof(dt_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k5_subset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_pre_topc) ).
fof(c_0_18,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_19,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])])])])])]) ).
fof(c_0_20,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)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X3,X1)
| v3_pre_topc(X4,X1) )
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k5_subset_1(u1_struct_0(X1),X3,X4)) = k5_subset_1(u1_struct_0(X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X4)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t32_tsp_2]) ).
fof(c_0_21,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(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) )
& ( esk5_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(esk6_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),esk5_3(X6,X7,X8),k3_tex_4(X6,esk6_3(X6,X7,X8))) != k4_pre_topc(X6,X7,X8,esk6_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_22,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_18]) ).
cnf(c_0_23,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,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)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( v3_pre_topc(esk3_0,esk1_0)
| v3_pre_topc(esk4_0,esk1_0) )
& k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)) != k5_subset_1(u1_struct_0(esk2_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_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_20])])])])])]) ).
cnf(c_0_25,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_21]) ).
cnf(c_0_26,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_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)) != k5_subset_1(u1_struct_0(esk2_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,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_25]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_35,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])]) ).
cnf(c_0_36,negated_conjecture,
( k5_subset_1(u1_struct_0(esk2_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_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(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_37,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_35]) ).
fof(c_0_38,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_39,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_40,negated_conjecture,
( k3_xboole_0(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,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_38]) ).
cnf(c_0_42,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X3,X4] : k3_xboole_0(X3,X4) = k3_xboole_0(X4,X3),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_44,negated_conjecture,
( k3_xboole_0(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk4_0)) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_46,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0)),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0)) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_45]),c_0_46]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_48,negated_conjecture,
( k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0)),k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0)) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_50,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_51,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))) != k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)),k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_45]),c_0_49]),c_0_29]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_52,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_50]) ).
fof(c_0_53,plain,
! [X4,X5,X6] : k3_xboole_0(k3_xboole_0(X4,X5),X6) = k3_xboole_0(X4,k3_xboole_0(X5,X6)),
inference(variable_rename,[status(thm)],[t16_xboole_1]) ).
fof(c_0_54,plain,
! [X3] : k3_xboole_0(X3,X3) = X3,
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[idempotence_k3_xboole_0])]) ).
cnf(c_0_55,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))) != k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)),k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_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)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_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_51,c_0_52]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_56,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_50]) ).
cnf(c_0_57,plain,
k3_xboole_0(k3_xboole_0(X1,X2),X3) = k3_xboole_0(X1,k3_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,plain,
k3_xboole_0(X1,X1) = 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),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))) != k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)),k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_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(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_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_55,c_0_56]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_60,plain,
k3_xboole_0(X1,k3_xboole_0(X1,X2)) = k3_xboole_0(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_61,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_62,negated_conjecture,
( k3_xboole_0(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)),k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk4_0))) != k3_xboole_0(u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_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(k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_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_59,c_0_37]) ).
cnf(c_0_63,plain,
k3_xboole_0(X1,k3_xboole_0(X2,X3)) = k3_xboole_0(X2,k3_xboole_0(X3,X1)),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_64,plain,
k3_xboole_0(X1,k3_xboole_0(X2,X1)) = k3_xboole_0(X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_45]) ).
fof(c_0_65,plain,
! [X4,X5,X6] :
( ( ~ v3_pre_topc(X5,X4)
| k3_tex_4(X4,k5_subset_1(u1_struct_0(X4),X5,X6)) = k5_subset_1(u1_struct_0(X4),k3_tex_4(X4,X5),k3_tex_4(X4,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( ~ v3_pre_topc(X6,X4)
| k3_tex_4(X4,k5_subset_1(u1_struct_0(X4),X5,X6)) = k5_subset_1(u1_struct_0(X4),k3_tex_4(X4,X5),k3_tex_4(X4,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(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)],[t67_tex_4])])])])])])]) ).
cnf(c_0_66,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_61]) ).
fof(c_0_67,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k3_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_tex_4])])]) ).
fof(c_0_68,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X5,k1_zfmisc_1(X4))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4))
| m1_subset_1(k5_subset_1(X4,X5,X6),k1_zfmisc_1(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).
cnf(c_0_69,negated_conjecture,
( k3_xboole_0(u1_struct_0(esk2_0),k3_xboole_0(k3_tex_4(esk1_0,esk4_0),k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,esk3_0)))) != k3_xboole_0(u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_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(k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_63]) ).
cnf(c_0_70,plain,
k3_xboole_0(X1,k3_xboole_0(X2,k3_xboole_0(X1,X3))) = k3_xboole_0(X2,k3_xboole_0(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_64]),c_0_57]),c_0_57]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) = k5_subset_1(u1_struct_0(X1),k3_tex_4(X1,X2),k3_tex_4(X1,X3))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,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_66,c_0_37]) ).
cnf(c_0_73,plain,
( m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
( m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( k3_xboole_0(u1_struct_0(esk2_0),k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0))) != k3_xboole_0(u1_struct_0(esk2_0),k3_xboole_0(k3_tex_4(esk1_0,esk3_0),k3_tex_4(esk1_0,esk4_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_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(k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_37]),c_0_70]),c_0_63]) ).
cnf(c_0_76,plain,
( k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) = k3_xboole_0(k3_tex_4(X1,X3),k3_tex_4(X1,X2))
| v3_struct_0(X1)
| ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_73]) ).
cnf(c_0_77,plain,
( m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_74,c_0_37]) ).
cnf(c_0_78,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_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)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_45]),c_0_45]),c_0_46]),c_0_49]),c_0_31]),c_0_32])]),c_0_34]),c_0_77]) ).
cnf(c_0_79,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_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)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_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_78,c_0_74]),c_0_46]),c_0_49])]) ).
cnf(c_0_80,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_50]) ).
cnf(c_0_81,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_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_79,c_0_80]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_82,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_50]) ).
cnf(c_0_83,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_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_81,c_0_82]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_84,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_46]),c_0_31])]),c_0_34]) ).
cnf(c_0_85,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) = k5_subset_1(u1_struct_0(X1),k3_tex_4(X1,X2),k3_tex_4(X1,X3))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_86,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ v3_pre_topc(esk4_0,esk1_0)
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_73]),c_0_49]),c_0_31])]),c_0_34]) ).
cnf(c_0_87,plain,
( k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) = k3_xboole_0(k3_tex_4(X1,X3),k3_tex_4(X1,X2))
| v3_struct_0(X1)
| ~ v3_pre_topc(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_72]),c_0_73]),c_0_73]) ).
cnf(c_0_88,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v3_pre_topc(esk4_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_86,c_0_23]),c_0_29]),c_0_31])]) ).
cnf(c_0_89,negated_conjecture,
( v3_pre_topc(esk4_0,esk1_0)
| v3_pre_topc(esk3_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_90,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_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)
| ~ v3_pre_topc(esk3_0,esk1_0)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_87]),c_0_45]),c_0_45]),c_0_46]),c_0_49]),c_0_31]),c_0_32])]),c_0_34]),c_0_77]) ).
cnf(c_0_91,negated_conjecture,
( v3_pre_topc(esk3_0,esk1_0)
| ~ 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(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_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(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_74]),c_0_46]),c_0_49])]),c_0_91]) ).
cnf(c_0_93,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_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_92,c_0_80]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
cnf(c_0_94,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_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_93,c_0_82]),c_0_30]),c_0_31]),c_0_32])]),c_0_33]),c_0_34]) ).
fof(c_0_95,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_96,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_pre_topc(esk2_0,esk1_0)
| ~ m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_73]),c_0_46]),c_0_31])]),c_0_34]) ).
cnf(c_0_97,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_98,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_73]),c_0_49]),c_0_31])]),c_0_34]) ).
cnf(c_0_99,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_97,c_0_26]) ).
fof(c_0_100,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_101,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_98,c_0_23]),c_0_29]),c_0_31])]) ).
cnf(c_0_102,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,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_99,c_0_29]),c_0_31])]) ).
fof(c_0_104,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_105,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,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_101,c_0_102]),c_0_103])]) ).
cnf(c_0_107,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_108,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_29]),c_0_31])]) ).
cnf(c_0_109,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_107]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP039+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 13:44:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/5.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/5.43 # Preprocessing time : 0.027 s
% 0.24/5.43
% 0.24/5.43 # Proof found!
% 0.24/5.43 # SZS status Theorem
% 0.24/5.43 # SZS output start CNFRefutation
% See solution above
% 0.24/5.43 # Proof object total steps : 111
% 0.24/5.43 # Proof object clause steps : 74
% 0.24/5.43 # Proof object formula steps : 37
% 0.24/5.43 # Proof object conjectures : 44
% 0.24/5.43 # Proof object clause conjectures : 41
% 0.24/5.43 # Proof object formula conjectures : 3
% 0.24/5.43 # Proof object initial clauses used : 32
% 0.24/5.43 # Proof object initial formulas used : 18
% 0.24/5.43 # Proof object generating inferences : 42
% 0.24/5.43 # Proof object simplifying inferences : 130
% 0.24/5.43 # Training examples: 0 positive, 0 negative
% 0.24/5.43 # Parsed axioms : 122
% 0.24/5.43 # Removed by relevancy pruning/SinE : 0
% 0.24/5.43 # Initial clauses : 290
% 0.24/5.43 # Removed in clause preprocessing : 43
% 0.24/5.43 # Initial clauses in saturation : 247
% 0.24/5.43 # Processed clauses : 16588
% 0.24/5.43 # ...of these trivial : 630
% 0.24/5.43 # ...subsumed : 10247
% 0.24/5.43 # ...remaining for further processing : 5711
% 0.24/5.43 # Other redundant clauses eliminated : 0
% 0.24/5.43 # Clauses deleted for lack of memory : 0
% 0.24/5.43 # Backward-subsumed : 424
% 0.24/5.43 # Backward-rewritten : 22
% 0.24/5.43 # Generated clauses : 137979
% 0.24/5.43 # ...of the previous two non-trivial : 132345
% 0.24/5.43 # Contextual simplify-reflections : 5064
% 0.24/5.43 # Paramodulations : 137792
% 0.24/5.43 # Factorizations : 0
% 0.24/5.43 # Equation resolutions : 1
% 0.24/5.43 # Current number of processed clauses : 5119
% 0.24/5.43 # Positive orientable unit clauses : 304
% 0.24/5.43 # Positive unorientable unit clauses: 4
% 0.24/5.43 # Negative unit clauses : 23
% 0.24/5.43 # Non-unit-clauses : 4788
% 0.24/5.43 # Current number of unprocessed clauses: 114077
% 0.24/5.43 # ...number of literals in the above : 714925
% 0.24/5.43 # Current number of archived formulas : 0
% 0.24/5.43 # Current number of archived clauses : 446
% 0.24/5.43 # Clause-clause subsumption calls (NU) : 22376894
% 0.24/5.43 # Rec. Clause-clause subsumption calls : 4603190
% 0.24/5.43 # Non-unit clause-clause subsumptions : 14727
% 0.24/5.43 # Unit Clause-clause subsumption calls : 35525
% 0.24/5.43 # Rewrite failures with RHS unbound : 0
% 0.24/5.43 # BW rewrite match attempts : 17943
% 0.24/5.43 # BW rewrite match successes : 67
% 0.24/5.43 # Condensation attempts : 0
% 0.24/5.43 # Condensation successes : 0
% 0.24/5.43 # Termbank termtop insertions : 3760671
% 0.24/5.43
% 0.24/5.43 # -------------------------------------------------
% 0.24/5.43 # User time : 4.456 s
% 0.24/5.43 # System time : 0.080 s
% 0.24/5.43 # Total time : 4.536 s
% 0.24/5.43 # Maximum resident set size: 114520 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.24/23.41
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------