%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP037+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 21:25:32 EDT 2022
% Result : Theorem 0.57s 71.75s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 13 unt; 0 def)
% Number of atoms : 515 ( 42 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 707 ( 290 ~; 316 |; 69 &)
% ( 3 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 183 ( 8 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k5_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)) )
=> k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k5_pre_topc) ).
fof(t29_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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_pre_topc(X1,X2,k4_tsp_2(X1,X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3)) = k3_tex_4(X1,X3) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t29_tsp_2) ).
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(t30_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)))
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k3_tex_4(X1,X3)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t30_tsp_2) ).
fof(t147_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r1_tarski(X1,k2_relat_1(X2))
=> k9_relat_1(X2,k10_relat_1(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t147_funct_1) ).
fof(redefinition_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)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_pre_topc) ).
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(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(redefinition_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) )
=> k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k4_tsp_2) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_m2_relset_1) ).
fof(t45_funct_2,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m2_relset_1(X3,X1,X2) )
=> ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> k2_funct_2(X1,X2,X3,X1) = k2_relat_1(X3) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t45_funct_2) ).
fof(redefinition_k2_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2) )
=> k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k2_funct_2) ).
fof(dt_k1_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(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_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_k1_tsp_2) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc1_relset_1) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t156_relat_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(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
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(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(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc6_membered) ).
fof(c_0_20,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))
| k5_pre_topc(X5,X6,X7,X8) = k10_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc])])])]) ).
fof(c_0_21,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| k5_pre_topc(X4,X5,k4_tsp_2(X4,X5),k4_pre_topc(X4,X5,k4_tsp_2(X4,X5),X6)) = k3_tex_4(X4,X6) ),
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)],[t29_tsp_2])])])])])]) ).
fof(c_0_22,plain,
! [X2] :
( ~ l1_pre_topc(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_23,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)))
=> k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),k3_tex_4(X1,X3)) ) ) ),
inference(assume_negation,[status(cth)],[t30_tsp_2]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ~ v1_relat_1(X4)
| ~ v1_funct_1(X4)
| ~ r1_tarski(X3,k2_relat_1(X4))
| k9_relat_1(X4,k10_relat_1(X4,X3)) = X3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t147_funct_1])]) ).
cnf(c_0_25,plain,
( k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( k5_pre_topc(X1,X2,k4_tsp_2(X1,X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3)) = k3_tex_4(X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,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(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,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)))
& 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),k3_tex_4(esk1_0,esk3_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_23])])])])])]) ).
fof(c_0_29,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))
| k4_pre_topc(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])])])]) ).
cnf(c_0_30,plain,
( k9_relat_1(X1,k10_relat_1(X1,X2)) = X2
| ~ r1_tarski(X2,k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( k10_relat_1(k4_tsp_2(X1,X2),k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3)) = k3_tex_4(X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ m1_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k4_tsp_2(X1,X2))
| ~ m1_subset_1(X3,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(pm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
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),k3_tex_4(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k9_relat_1(k4_tsp_2(X1,X2),k3_tex_4(X1,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_tarski(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),k2_relat_1(k4_tsp_2(X1,X2)))
| ~ l1_struct_0(X2)
| ~ m1_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k4_tsp_2(X1,X2))
| ~ v1_relat_1(k4_tsp_2(X1,X2))
| ~ m1_subset_1(X3,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(pm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) != k9_relat_1(k4_tsp_2(esk1_0,esk2_0),k3_tex_4(esk1_0,esk3_0))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_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(pm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3) = k9_relat_1(k4_tsp_2(X1,X2),k3_tex_4(X1,X3))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r1_tarski(k9_relat_1(k4_tsp_2(X1,X2),X3),k2_relat_1(k4_tsp_2(X1,X2)))
| ~ l1_struct_0(X2)
| ~ m1_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k4_tsp_2(X1,X2))
| ~ v1_relat_1(k4_tsp_2(X1,X2))
| ~ m1_subset_1(X3,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(pm,[status(thm)],[c_0_34,c_0_33]),c_0_27]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_44,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_45,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k4_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_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))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_46,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_44]) ).
fof(c_0_47,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_48,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k4_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_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))
| ~ v1_relat_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(pm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_49,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k4_tsp_2(esk1_0,esk2_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))
| ~ v1_relat_1(k4_tsp_2(esk1_0,esk2_0))
| ~ m1_pre_topc(esk2_0,esk1_0) ),
inference(pm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,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_44]) ).
fof(c_0_52,plain,
! [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)
| k4_tsp_2(X3,X4) = k1_tsp_2(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k4_tsp_2])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k4_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_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(pm,[status(thm)],[c_0_50,c_0_51]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_54,plain,
( k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_55,plain,
! [X4,X5,X6] :
( ~ m2_relset_1(X6,X4,X5)
| m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_56,plain,
! [X4,X5,X6] :
( ( X5 = k1_xboole_0
| k2_funct_2(X4,X5,X6,X4) = k2_relat_1(X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m2_relset_1(X6,X4,X5) )
& ( X4 != k1_xboole_0
| k2_funct_2(X4,X5,X6,X4) = k2_relat_1(X6)
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,X4,X5)
| ~ m2_relset_1(X6,X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_funct_2])])]) ).
fof(c_0_57,plain,
! [X5,X6,X7,X8] :
( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,X5,X6)
| ~ m1_relset_1(X7,X5,X6)
| k2_funct_2(X5,X6,X7,X8) = k9_relat_1(X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_funct_2])])])]) ).
fof(c_0_58,plain,
! [X3,X4] :
( ( v1_funct_1(k1_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(k1_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(k1_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(k1_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_k1_tsp_2])])])]) ).
cnf(c_0_59,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k4_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k1_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_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(pm,[status(thm)],[c_0_53,c_0_54]),c_0_39]),c_0_40]),c_0_41])]),c_0_43]),c_0_42]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| v1_relat_1(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_61,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( k2_funct_2(X2,X3,X1,X2) = k2_relat_1(X1)
| X3 = k1_xboole_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k1_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_58]) ).
cnf(c_0_65,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k1_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k1_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_funct_1(k4_tsp_2(esk1_0,esk2_0))
| ~ v1_relat_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(pm,[status(thm)],[c_0_59,c_0_54]),c_0_39]),c_0_40]),c_0_41])]),c_0_43]),c_0_42]) ).
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_44]) ).
cnf(c_0_67,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
( m1_subset_1(k4_tsp_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(pm,[status(thm)],[c_0_61,c_0_51]) ).
fof(c_0_69,plain,
! [X4,X5,X6] :
( ~ v1_relat_1(X6)
| ~ r1_tarski(X4,X5)
| r1_tarski(k9_relat_1(X6,X4),k9_relat_1(X6,X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
cnf(c_0_70,plain,
( k9_relat_1(X1,X2) = k2_relat_1(X1)
| X3 = k1_xboole_0
| ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_63]),c_0_49]) ).
cnf(c_0_71,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k1_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_58]) ).
cnf(c_0_72,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(k1_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_58]) ).
cnf(c_0_73,plain,
( m1_subset_1(k1_tsp_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2))))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(pm,[status(thm)],[c_0_61,c_0_64]) ).
fof(c_0_74,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_75,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k1_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k1_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0)
| ~ v1_relat_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(pm,[status(thm)],[c_0_65,c_0_66]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_76,plain,
( v1_relat_1(k4_tsp_2(X1,X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(pm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
( k9_relat_1(k1_tsp_2(X1,X2),u1_struct_0(X1)) = k2_relat_1(k1_tsp_2(X1,X2))
| u1_struct_0(X2) = k1_xboole_0
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_64]) ).
cnf(c_0_79,plain,
( v1_relat_1(k1_tsp_2(X1,X2))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(pm,[status(thm)],[c_0_67,c_0_73]) ).
cnf(c_0_80,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_81,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
cnf(c_0_82,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k1_tsp_2(esk1_0,esk2_0),esk3_0),k2_relat_1(k1_tsp_2(esk1_0,esk2_0)))
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_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(pm,[status(thm)],[c_0_75,c_0_76]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_83,plain,
( u1_struct_0(X1) = k1_xboole_0
| r1_tarski(k9_relat_1(k1_tsp_2(X2,X1),X3),k2_relat_1(k1_tsp_2(X2,X1)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ r1_tarski(X3,u1_struct_0(X2))
| ~ m1_pre_topc(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_84,negated_conjecture,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(pm,[status(thm)],[c_0_80,c_0_37]) ).
fof(c_0_85,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_86,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( u1_struct_0(esk2_0) = k1_xboole_0
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_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(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_39]),c_0_40]),c_0_41])]),c_0_42]),c_0_43]) ).
cnf(c_0_88,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
fof(c_0_89,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_90,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ v1_xboole_0(u1_struct_0(esk2_0)) ),
inference(pm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( u1_struct_0(esk2_0) = k1_xboole_0
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_88]),c_0_38]),c_0_40])]) ).
cnf(c_0_92,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_93,plain,
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_93,c_0_38]),c_0_40])]) ).
cnf(c_0_96,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_94,c_0_27]),c_0_95])]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_96,c_0_27]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : TOP037+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.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 11:30:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.45/46.41 eprover: CPU time limit exceeded, terminating
% 0.45/46.42 eprover: CPU time limit exceeded, terminating
% 0.45/46.45 eprover: CPU time limit exceeded, terminating
% 0.45/46.45 eprover: CPU time limit exceeded, terminating
% 0.57/69.44 eprover: CPU time limit exceeded, terminating
% 0.57/69.44 eprover: CPU time limit exceeded, terminating
% 0.57/69.46 eprover: CPU time limit exceeded, terminating
% 0.57/69.47 eprover: CPU time limit exceeded, terminating
% 0.57/71.75 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.57/71.75
% 0.57/71.75 # Failure: Resource limit exceeded (time)
% 0.57/71.75 # OLD status Res
% 0.57/71.75 # Preprocessing time : 0.024 s
% 0.57/71.75 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.57/71.75
% 0.57/71.75 # Failure: Resource limit exceeded (time)
% 0.57/71.75 # OLD status Res
% 0.57/71.75 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.57/71.75 # Preprocessing time : 0.013 s
% 0.57/71.75 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.57/71.75
% 0.57/71.75 # Failure: Resource limit exceeded (time)
% 0.57/71.75 # OLD status Res
% 0.57/71.75 # Preprocessing time : 0.014 s
% 0.57/71.75 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.57/71.75 # Preprocessing time : 0.026 s
% 0.57/71.75
% 0.57/71.75 # Proof found!
% 0.57/71.75 # SZS status Theorem
% 0.57/71.75 # SZS output start CNFRefutation
% See solution above
% 0.57/71.75 # Proof object total steps : 98
% 0.57/71.75 # Proof object clause steps : 58
% 0.57/71.75 # Proof object formula steps : 40
% 0.57/71.75 # Proof object conjectures : 28
% 0.57/71.75 # Proof object clause conjectures : 25
% 0.57/71.75 # Proof object formula conjectures : 3
% 0.57/71.75 # Proof object initial clauses used : 31
% 0.57/71.75 # Proof object initial formulas used : 20
% 0.57/71.75 # Proof object generating inferences : 27
% 0.57/71.75 # Proof object simplifying inferences : 68
% 0.57/71.75 # Training examples: 0 positive, 0 negative
% 0.57/71.75 # Parsed axioms : 110
% 0.57/71.75 # Removed by relevancy pruning/SinE : 0
% 0.57/71.75 # Initial clauses : 252
% 0.57/71.75 # Removed in clause preprocessing : 44
% 0.57/71.75 # Initial clauses in saturation : 208
% 0.57/71.75 # Processed clauses : 7590
% 0.57/71.75 # ...of these trivial : 3
% 0.57/71.75 # ...subsumed : 3492
% 0.57/71.75 # ...remaining for further processing : 4095
% 0.57/71.75 # Other redundant clauses eliminated : 0
% 0.57/71.75 # Clauses deleted for lack of memory : 0
% 0.57/71.75 # Backward-subsumed : 122
% 0.57/71.75 # Backward-rewritten : 193
% 0.57/71.75 # Generated clauses : 18740
% 0.57/71.75 # ...of the previous two non-trivial : 18376
% 0.57/71.75 # Contextual simplify-reflections : 5487
% 0.57/71.75 # Paramodulations : 17691
% 0.57/71.75 # Factorizations : 0
% 0.57/71.75 # Equation resolutions : 0
% 0.57/71.75 # Current number of processed clauses : 3007
% 0.57/71.75 # Positive orientable unit clauses : 144
% 0.57/71.75 # Positive unorientable unit clauses: 0
% 0.57/71.75 # Negative unit clauses : 110
% 0.57/71.75 # Non-unit-clauses : 2753
% 0.57/71.75 # Current number of unprocessed clauses: 9493
% 0.57/71.75 # ...number of literals in the above : 93120
% 0.57/71.75 # Current number of archived formulas : 0
% 0.57/71.75 # Current number of archived clauses : 315
% 0.57/71.75 # Clause-clause subsumption calls (NU) : 8435153
% 0.57/71.75 # Rec. Clause-clause subsumption calls : 838614
% 0.57/71.75 # Non-unit clause-clause subsumptions : 11588
% 0.57/71.75 # Unit Clause-clause subsumption calls : 210375
% 0.57/71.75 # Rewrite failures with RHS unbound : 0
% 0.57/71.75 # BW rewrite match attempts : 102
% 0.57/71.75 # BW rewrite match successes : 100
% 0.57/71.75 # Condensation attempts : 0
% 0.57/71.75 # Condensation successes : 0
% 0.57/71.75 # Termbank termtop insertions : 362266
% 0.57/71.75
% 0.57/71.75 # -------------------------------------------------
% 0.57/71.75 # User time : 1.582 s
% 0.57/71.75 # System time : 0.016 s
% 0.57/71.75 # Total time : 1.598 s
% 0.57/71.75 # Maximum resident set size: 21340 pages
%------------------------------------------------------------------------------