TSTP Solution File: TOP041+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : TOP041+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 : 300s
% DateTime : Fri Sep 1 05:57:29 EDT 2023
% Result : Theorem 178.85s 24.41s
% Output : CNFRefutation 178.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 31
% Syntax : Number of formulae : 261 ( 49 unt; 0 def)
% Number of atoms : 1229 ( 201 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1643 ( 675 ~; 713 |; 196 &)
% ( 16 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 491 ( 17 sgn; 247 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X2,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X2,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f50,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f52,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
=> ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( u1_struct_0(X1) = X3
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(f53,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ( m1_tsp_1(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tsp_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f60,axiom,
! [X0,X1,X2,X3] :
( ( m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2)
& l1_struct_0(X1)
& l1_struct_0(X0) )
=> m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(f61,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f64,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f69,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_tsp_1) ).
fof(f71,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f110,axiom,
! [X0,X1] :
( ( m1_pre_topc(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1)
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_tsp_2) ).
fof(f111,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f112,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_tsp_1) ).
fof(f113,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f114,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f117,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(f120,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f122,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f157,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f158,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f220,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f221,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f220]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k4_tsp_2(X0,X1) = X2
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( m1_tsp_1(X1,X0)
<=> ( ! [X2] :
( ( v3_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f225,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f226,plain,
! [X0,X1] :
( ( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f225]) ).
fof(f229,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f229]) ).
fof(f231,plain,
! [X0,X1] :
( ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f232,plain,
! [X0,X1] :
( ( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k4_tsp_2(X0,X1)) )
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f231]) ).
fof(f235,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m1_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f277,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f278,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f111]) ).
fof(f280,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f279]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( m1_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f289,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f290,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f289]) ).
fof(f297,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] :
( ( v3_pre_topc(X2,X1)
<=> ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f298,plain,
! [X0,X1] :
( ( m1_tsp_1(X1,X0)
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f299,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f224,f298,f297]) ).
fof(f302,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_pre_topc(X2,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X2),X1)
& v3_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(X1,sK4)
& v2_tsp_2(X1,sK4)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK4)
& v2_pre_topc(sK4)
& ~ v3_struct_0(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(sK4,X1,k4_tsp_2(sK4,X1),X2),X1)
& v3_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(X1,sK4)
& v2_tsp_2(X1,sK4)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X2),sK5)
& v3_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
& m2_tsp_1(sK5,sK4)
& v2_tsp_2(sK5,sK4)
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X2),sK5)
& v3_pre_topc(X2,sK4)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK4))) )
=> ( ~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5)
& v3_pre_topc(sK6,sK4)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
( ~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5)
& v3_pre_topc(sK6,sK4)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& m2_tsp_1(sK5,sK4)
& v2_tsp_2(sK5,sK4)
& ~ v3_struct_0(sK5)
& l1_pre_topc(sK4)
& v2_pre_topc(sK4)
& ~ v3_struct_0(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f158,f304,f303,f302]) ).
fof(f307,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f308,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f307]) ).
fof(f309,plain,
! [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ? [X4] :
( k4_pre_topc(X0,X1,X2,X4) != k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,X4))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = sK7(X0,X1,X2)
& m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0,X1,X2] :
( ? [X4] :
( k4_pre_topc(X0,X1,X2,X4) != k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,X4))
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,sK8(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k4_tsp_2(X0,X1) = X2
| ( k5_subset_1(u1_struct_0(X0),sK7(X0,X1,X2),k3_tex_4(X0,sK8(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK8(X0,X1,X2))
& m1_subset_1(sK8(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK7(X0,X1,X2)
& m1_subset_1(sK7(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_tsp_2(X0,X1) != X2 ) )
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f308,f310,f309]) ).
fof(f312,plain,
! [X0,X1] :
( ( ( m1_tsp_1(X1,X0)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ m1_tsp_1(X1,X0) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f298]) ).
fof(f313,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_pre_topc(X2,X1) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( ! [X2] :
( ( ( v3_pre_topc(X2,X1)
| ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f297]) ).
fof(f314,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_pre_topc(X2,X1) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_pre_topc(X2,X1) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
& ( ( ! [X2] :
( ( ( v3_pre_topc(X2,X1)
| ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) != X2
| ~ v3_pre_topc(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ? [X3] :
( k3_xboole_0(X3,u1_struct_0(X1)) = X2
& v3_pre_topc(X3,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v3_pre_topc(X2,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& r1_tarski(u1_struct_0(X1),u1_struct_0(X0)) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f313]) ).
fof(f315,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != X2
| ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X2,X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = X2
& v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_pre_topc(X2,X0) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( ! [X5] :
( ( ( v3_pre_topc(X5,X0)
| ! [X6] :
( k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v3_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ? [X7] :
( k3_xboole_0(X7,u1_struct_0(X0)) = X5
& v3_pre_topc(X7,X1)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X5,X0) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f314]) ).
fof(f316,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != X2
| ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X2,X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = X2
& v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_pre_topc(X2,X0) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != sK9(X0,X1)
| ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(sK9(X0,X1),X0) )
& ( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = sK9(X0,X1)
& v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_pre_topc(sK9(X0,X1),X0) )
& m1_subset_1(sK9(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0,X1] :
( ? [X4] :
( k3_xboole_0(X4,u1_struct_0(X0)) = sK9(X0,X1)
& v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( sK9(X0,X1) = k3_xboole_0(sK10(X0,X1),u1_struct_0(X0))
& v3_pre_topc(sK10(X0,X1),X1)
& m1_subset_1(sK10(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0,X1,X5] :
( ? [X7] :
( k3_xboole_0(X7,u1_struct_0(X0)) = X5
& v3_pre_topc(X7,X1)
& m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( k3_xboole_0(sK11(X0,X1,X5),u1_struct_0(X0)) = X5
& v3_pre_topc(sK11(X0,X1,X5),X1)
& m1_subset_1(sK11(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ! [X3] :
( k3_xboole_0(X3,u1_struct_0(X0)) != sK9(X0,X1)
| ~ v3_pre_topc(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(sK9(X0,X1),X0) )
& ( ( sK9(X0,X1) = k3_xboole_0(sK10(X0,X1),u1_struct_0(X0))
& v3_pre_topc(sK10(X0,X1),X1)
& m1_subset_1(sK10(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) )
| v3_pre_topc(sK9(X0,X1),X0) )
& m1_subset_1(sK9(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
& ( ( ! [X5] :
( ( ( v3_pre_topc(X5,X0)
| ! [X6] :
( k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v3_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1))) ) )
& ( ( k3_xboole_0(sK11(X0,X1,X5),u1_struct_0(X0)) = X5
& v3_pre_topc(sK11(X0,X1,X5),X1)
& m1_subset_1(sK11(X0,X1,X5),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_pre_topc(X5,X0) ) )
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f315,f318,f317,f316]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ( m1_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m1_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f281]) ).
fof(f362,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f282]) ).
fof(f364,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f365,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f366,plain,
v2_pre_topc(sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f367,plain,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f368,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f305]) ).
fof(f369,plain,
v2_tsp_2(sK5,sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f370,plain,
m2_tsp_1(sK5,sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f371,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f305]) ).
fof(f372,plain,
v3_pre_topc(sK6,sK4),
inference(cnf_transformation,[],[f305]) ).
fof(f373,plain,
~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5),
inference(cnf_transformation,[],[f305]) ).
fof(f474,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f475,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f476,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f481,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ m1_tsp_1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f483,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X0),u1_struct_0(X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
fof(f487,plain,
! [X0,X1,X6,X5] :
( v3_pre_topc(X5,X0)
| k3_xboole_0(X6,u1_struct_0(X0)) != X5
| ~ v3_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
fof(f493,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f497,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f499,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f500,plain,
! [X0,X1] :
( v1_funct_1(k4_tsp_2(X0,X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f501,plain,
! [X0,X1] :
( v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f502,plain,
! [X0,X1] :
( v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f503,plain,
! [X0,X1] :
( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f505,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f507,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f509,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f608,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| ~ m1_pre_topc(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f609,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f280]) ).
fof(f611,plain,
! [X0,X1] :
( m1_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f612,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f362]) ).
fof(f614,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f618,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f621,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f364]) ).
fof(f622,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
fof(f624,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f629,plain,
! [X2,X0,X1,X6] :
( k4_pre_topc(X0,X1,X2,X6) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k4_tsp_2(X0,X1) != X2
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f476]) ).
fof(f630,plain,
! [X0,X1,X6] :
( k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f629]) ).
fof(f631,plain,
! [X0,X1,X6] :
( v3_pre_topc(k3_xboole_0(X6,u1_struct_0(X0)),X0)
| ~ v3_pre_topc(X6,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(k3_xboole_0(X6,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f487]) ).
cnf(c_49,negated_conjecture,
~ v3_pre_topc(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),sK5),
inference(cnf_transformation,[],[f373]) ).
cnf(c_50,negated_conjecture,
v3_pre_topc(sK6,sK4),
inference(cnf_transformation,[],[f372]) ).
cnf(c_51,negated_conjecture,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f371]) ).
cnf(c_52,negated_conjecture,
m2_tsp_1(sK5,sK4),
inference(cnf_transformation,[],[f370]) ).
cnf(c_53,negated_conjecture,
v2_tsp_2(sK5,sK4),
inference(cnf_transformation,[],[f369]) ).
cnf(c_54,negated_conjecture,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f368]) ).
cnf(c_55,negated_conjecture,
l1_pre_topc(sK4),
inference(cnf_transformation,[],[f367]) ).
cnf(c_56,negated_conjecture,
v2_pre_topc(sK4),
inference(cnf_transformation,[],[f366]) ).
cnf(c_57,negated_conjecture,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f365]) ).
cnf(c_126,plain,
k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f474]) ).
cnf(c_127,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,X2) = k5_subset_1(X1,X2,X0) ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_132,plain,
( ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_134,plain,
( ~ m1_tsp_1(X0,X1)
| ~ sP2(X1,X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
cnf(c_140,plain,
( ~ m1_subset_1(k3_xboole_0(X0,u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_pre_topc(X0,X2)
| ~ sP1(X1,X2)
| v3_pre_topc(k3_xboole_0(X0,u1_struct_0(X1)),X1) ),
inference(cnf_transformation,[],[f631]) ).
cnf(c_144,plain,
( ~ sP1(X0,X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_145,plain,
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f493]) ).
cnf(c_146,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f497]) ).
cnf(c_151,plain,
( ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| m1_subset_1(k4_pre_topc(X1,X2,X0,X3),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_152,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(k4_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f503]) ).
cnf(c_153,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v5_pre_topc(k4_tsp_2(X1,X0),X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f502]) ).
cnf(c_154,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_2(k4_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f501]) ).
cnf(c_155,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_1(k4_tsp_2(X1,X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f500]) ).
cnf(c_157,plain,
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_159,plain,
( ~ m1_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f507]) ).
cnf(c_161,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f509]) ).
cnf(c_260,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k4_tsp_2(X1,X0) = k1_tsp_2(X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_261,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,X2) = k3_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f609]) ).
cnf(c_262,plain,
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| m1_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f611]) ).
cnf(c_265,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f612]) ).
cnf(c_267,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f614]) ).
cnf(c_270,plain,
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f618]) ).
cnf(c_273,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f622]) ).
cnf(c_274,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f621]) ).
cnf(c_276,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k3_tex_4(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f624]) ).
cnf(c_431,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_273]) ).
cnf(c_433,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_265]) ).
cnf(c_434,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_433]) ).
cnf(c_601,plain,
( ~ sP1(X0,X1)
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(prop_impl_just,[status(thm)],[c_144]) ).
cnf(c_1022,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_127,c_431]) ).
cnf(c_1025,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_261,c_431]) ).
cnf(c_2384,plain,
( X0 != X1
| X2 != X3
| ~ m1_tsp_1(X1,X3)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X2)
| sP1(X1,X3) ),
inference(resolution_lifted,[status(thm)],[c_145,c_134]) ).
cnf(c_2385,plain,
( ~ m1_tsp_1(X0,X1)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(unflattening,[status(thm)],[c_2384]) ).
cnf(c_2387,plain,
( ~ m1_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2385,c_159,c_2385]) ).
cnf(c_3005,plain,
( X0 != X1
| X2 != X3
| ~ m1_pre_topc(X0,X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| sP1(X1,X3) ),
inference(resolution_lifted,[status(thm)],[c_262,c_2387]) ).
cnf(c_3006,plain,
( ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(unflattening,[status(thm)],[c_3005]) ).
cnf(c_3135,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_260]) ).
cnf(c_3136,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3135]) ).
cnf(c_3137,plain,
( ~ m1_pre_topc(sK5,sK4)
| k4_tsp_2(sK4,sK5) = k1_tsp_2(sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3136,c_56,c_55,c_57,c_54,c_3136]) ).
cnf(c_3145,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_1(k4_tsp_2(X0,X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_155]) ).
cnf(c_3146,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v1_funct_1(k4_tsp_2(sK4,sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3145]) ).
cnf(c_3147,plain,
( ~ m1_pre_topc(sK5,sK4)
| v1_funct_1(k4_tsp_2(sK4,sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3146,c_56,c_55,c_57,c_54,c_3146]) ).
cnf(c_3155,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_154]) ).
cnf(c_3156,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3155]) ).
cnf(c_3157,plain,
( ~ m1_pre_topc(sK5,sK4)
| v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3156,c_56,c_55,c_57,c_54,c_3156]) ).
cnf(c_3165,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_153]) ).
cnf(c_3166,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3165]) ).
cnf(c_3167,plain,
( ~ m1_pre_topc(sK5,sK4)
| v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_3166,c_56,c_55,c_57,c_54,c_3166]) ).
cnf(c_3175,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_152]) ).
cnf(c_3176,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3175]) ).
cnf(c_3177,plain,
( ~ m1_pre_topc(sK5,sK4)
| m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3176,c_56,c_55,c_57,c_54,c_3176]) ).
cnf(c_3215,plain,
( X0 != sK4
| X1 != sK5
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_146]) ).
cnf(c_3216,plain,
( ~ m1_pre_topc(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3215]) ).
cnf(c_3217,plain,
( ~ m1_pre_topc(sK5,sK4)
| m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_3216,c_56,c_55,c_57,c_54,c_3216]) ).
cnf(c_3225,plain,
( X0 != sK4
| X1 != sK5
| ~ m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X2)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_132]) ).
cnf(c_3226,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ m2_tsp_1(sK5,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0)
| v3_struct_0(sK4)
| v3_struct_0(sK5) ),
inference(unflattening,[status(thm)],[c_3225]) ).
cnf(c_3228,plain,
( ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3226,c_56,c_55,c_57,c_54,c_52,c_3226]) ).
cnf(c_3229,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(renaming,[status(thm)],[c_3228]) ).
cnf(c_3401,plain,
( X0 != sK4
| X1 != sK5
| ~ l1_pre_topc(X0)
| m1_pre_topc(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_267]) ).
cnf(c_3402,plain,
( ~ l1_pre_topc(sK4)
| m1_pre_topc(sK5,sK4) ),
inference(unflattening,[status(thm)],[c_3401]) ).
cnf(c_3403,plain,
m1_pre_topc(sK5,sK4),
inference(global_subsumption_just,[status(thm)],[c_3402,c_55,c_3402]) ).
cnf(c_3408,plain,
( X0 != sK4
| X1 != sK5
| ~ l1_pre_topc(X0)
| l1_pre_topc(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_161]) ).
cnf(c_3409,plain,
( ~ l1_pre_topc(sK4)
| l1_pre_topc(sK5) ),
inference(unflattening,[status(thm)],[c_3408]) ).
cnf(c_3410,plain,
l1_pre_topc(sK5),
inference(global_subsumption_just,[status(thm)],[c_3409,c_55,c_3409]) ).
cnf(c_3435,plain,
v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(backward_subsumption_resolution,[status(thm)],[c_3157,c_3403]) ).
cnf(c_3439,plain,
m2_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(backward_subsumption_resolution,[status(thm)],[c_3217,c_3403]) ).
cnf(c_3441,plain,
v5_pre_topc(k4_tsp_2(sK4,sK5),sK4,sK5),
inference(backward_subsumption_resolution,[status(thm)],[c_3167,c_3403]) ).
cnf(c_3448,plain,
( ~ m2_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ v1_funct_2(k4_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(resolution,[status(thm)],[c_3441,c_3229]) ).
cnf(c_3450,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3448,c_55,c_3147,c_3157,c_3167,c_3177,c_3229,c_3402]) ).
cnf(c_3451,plain,
( ~ m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(renaming,[status(thm)],[c_3450]) ).
cnf(c_3497,plain,
( k1_tsp_2(sK4,sK5) != X0
| u1_struct_0(sK4) != X1
| u1_struct_0(sK5) != X2
| m1_relset_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_434,c_3439]) ).
cnf(c_3498,plain,
m1_relset_1(k1_tsp_2(sK4,sK5),u1_struct_0(sK4),u1_struct_0(sK5)),
inference(unflattening,[status(thm)],[c_3497]) ).
cnf(c_3529,plain,
( k4_tsp_2(sK4,sK5) != X2
| u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_151,c_3435]) ).
cnf(c_3530,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k4_tsp_2(sK4,sK5))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(unflattening,[status(thm)],[c_3529]) ).
cnf(c_3532,plain,
( ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| u1_struct_0(X1) != u1_struct_0(sK5)
| u1_struct_0(X0) != u1_struct_0(sK4)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_3530,c_56,c_55,c_57,c_54,c_3146,c_3402,c_3530]) ).
cnf(c_3533,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ m1_relset_1(k4_tsp_2(sK4,sK5),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(renaming,[status(thm)],[c_3532]) ).
cnf(c_3725,plain,
( X0 != sK5
| X1 != sK4
| ~ l1_pre_topc(X1)
| sP1(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_3006,c_3403]) ).
cnf(c_3726,plain,
( ~ l1_pre_topc(sK4)
| sP1(sK5,sK4) ),
inference(unflattening,[status(thm)],[c_3725]) ).
cnf(c_3727,plain,
sP1(sK5,sK4),
inference(global_subsumption_just,[status(thm)],[c_3726,c_55,c_3726]) ).
cnf(c_3732,plain,
( X0 != sK5
| X1 != sK4
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_270,c_3403]) ).
cnf(c_3733,plain,
( ~ l1_pre_topc(sK4)
| m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(unflattening,[status(thm)],[c_3732]) ).
cnf(c_3734,plain,
m1_subset_1(u1_struct_0(sK5),k1_zfmisc_1(u1_struct_0(sK4))),
inference(global_subsumption_just,[status(thm)],[c_3733,c_55,c_3733]) ).
cnf(c_4084,plain,
( k4_tsp_2(sK4,sK5) != k1_tsp_2(sK4,sK5)
| u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(resolution_lifted,[status(thm)],[c_3498,c_3533]) ).
cnf(c_4086,plain,
( u1_struct_0(X0) != u1_struct_0(sK4)
| u1_struct_0(X1) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X0,X1,k4_tsp_2(sK4,sK5),X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_4084,c_55,c_3137,c_3402,c_4084]) ).
cnf(c_4236,plain,
( X0 != sK4
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k3_tex_4(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_57,c_276]) ).
cnf(c_4237,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v3_pre_topc(X0,sK4)
| ~ l1_pre_topc(sK4)
| ~ v2_pre_topc(sK4)
| k3_tex_4(sK4,X0) = X0 ),
inference(unflattening,[status(thm)],[c_4236]) ).
cnf(c_4239,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v3_pre_topc(X0,sK4)
| k3_tex_4(sK4,X0) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_4237,c_56,c_55,c_4237]) ).
cnf(c_5671,plain,
( X0 != sK5
| X1 != sK4
| r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_601,c_3727]) ).
cnf(c_5672,plain,
r1_tarski(u1_struct_0(sK5),u1_struct_0(sK4)),
inference(unflattening,[status(thm)],[c_5671]) ).
cnf(c_6167,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(prop_impl_just,[status(thm)],[c_273]) ).
cnf(c_6235,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,X0)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0) ),
inference(prop_impl_just,[status(thm)],[c_55,c_3451,c_3733]) ).
cnf(c_6442,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k5_subset_1(X1,X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_1022,c_6167]) ).
cnf(c_6445,plain,
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1)
| k5_subset_1(X1,X2,X0) = k3_xboole_0(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_1025,c_6167]) ).
cnf(c_8064,plain,
X0 = X0,
theory(equality) ).
cnf(c_8069,plain,
( X0 != X1
| X2 != X3
| ~ v3_pre_topc(X1,X3)
| v3_pre_topc(X0,X2) ),
theory(equality) ).
cnf(c_10101,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4086]) ).
cnf(c_10103,plain,
( ~ l1_struct_0(sK4)
| ~ l1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(equality_resolution,[status(thm)],[c_10101]) ).
cnf(c_10129,plain,
l1_struct_0(sK4),
inference(superposition,[status(thm)],[c_55,c_157]) ).
cnf(c_10131,plain,
l1_struct_0(sK5),
inference(superposition,[status(thm)],[c_3410,c_157]) ).
cnf(c_10132,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4086]) ).
cnf(c_10133,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_10132,c_10101,c_10129]) ).
cnf(c_10134,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(renaming,[status(thm)],[c_10133]) ).
cnf(c_10175,plain,
( ~ v3_pre_topc(sK6,sK4)
| k3_tex_4(sK4,sK6) = sK6 ),
inference(superposition,[status(thm)],[c_51,c_4239]) ).
cnf(c_10181,plain,
k3_tex_4(sK4,sK6) = sK6,
inference(global_subsumption_just,[status(thm)],[c_10175,c_50,c_10175]) ).
cnf(c_10225,plain,
k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,sK6)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),
inference(superposition,[status(thm)],[c_51,c_6235]) ).
cnf(c_10247,plain,
k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),
inference(superposition,[status(thm)],[c_10181,c_10225]) ).
cnf(c_10253,plain,
~ v3_pre_topc(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),sK5),
inference(superposition,[status(thm)],[c_10247,c_49]) ).
cnf(c_12878,plain,
sK5 = sK5,
inference(instantiation,[status(thm)],[c_8064]) ).
cnf(c_78885,plain,
( X0 != X1
| X2 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,X2) ),
inference(instantiation,[status(thm)],[c_8069]) ).
cnf(c_89423,plain,
( X0 != X1
| sK5 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,sK5) ),
inference(instantiation,[status(thm)],[c_78885]) ).
cnf(c_96711,plain,
( X0 != X1
| X2 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,X2) ),
inference(instantiation,[status(thm)],[c_8069]) ).
cnf(c_97048,plain,
( X0 != X1
| sK5 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,sK5) ),
inference(instantiation,[status(thm)],[c_96711]) ).
cnf(c_105134,plain,
( k5_subset_1(X0,X1,X2) != X3
| sK5 != sK5
| ~ v3_pre_topc(X3,sK5)
| v3_pre_topc(k5_subset_1(X0,X1,X2),sK5) ),
inference(instantiation,[status(thm)],[c_97048]) ).
cnf(c_124784,plain,
( k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) != X0
| sK5 != sK5
| ~ v3_pre_topc(X0,sK5)
| v3_pre_topc(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),sK5) ),
inference(instantiation,[status(thm)],[c_105134]) ).
cnf(c_133492,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK4))
| ~ r1_tarski(sK6,u1_struct_0(sK4))
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) = k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)) ),
inference(instantiation,[status(thm)],[c_6442]) ).
cnf(c_268059,plain,
( X0 != X1
| X2 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,X2) ),
inference(instantiation,[status(thm)],[c_8069]) ).
cnf(c_269287,plain,
( X0 != X1
| sK5 != sK5
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,sK5) ),
inference(instantiation,[status(thm)],[c_268059]) ).
cnf(c_270166,plain,
( X0 != X1
| ~ v3_pre_topc(X1,sK5)
| v3_pre_topc(X0,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_269287,c_12878,c_89423]) ).
cnf(c_297916,plain,
( k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) != X0
| ~ v3_pre_topc(X0,sK5)
| v3_pre_topc(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),sK5) ),
inference(instantiation,[status(thm)],[c_270166]) ).
cnf(c_301852,plain,
( ~ v3_pre_topc(X0,sK5)
| k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) != X0 ),
inference(global_subsumption_just,[status(thm)],[c_297916,c_10253,c_12878,c_124784]) ).
cnf(c_301853,plain,
( k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) != X0
| ~ v3_pre_topc(X0,sK5) ),
inference(renaming,[status(thm)],[c_301852]) ).
cnf(c_301856,plain,
( k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) != k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5))
| ~ v3_pre_topc(k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)),sK5) ),
inference(instantiation,[status(thm)],[c_301853]) ).
cnf(c_305484,plain,
( k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)) != X0
| ~ v3_pre_topc(X0,sK5)
| v3_pre_topc(k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)),sK5) ),
inference(instantiation,[status(thm)],[c_270166]) ).
cnf(c_357985,plain,
( k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)) != k3_xboole_0(sK6,u1_struct_0(sK5))
| ~ v3_pre_topc(k3_xboole_0(sK6,u1_struct_0(sK5)),sK5)
| v3_pre_topc(k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)),sK5) ),
inference(instantiation,[status(thm)],[c_305484]) ).
cnf(c_357986,plain,
( ~ r1_tarski(u1_struct_0(sK5),u1_struct_0(sK4))
| ~ r1_tarski(sK6,u1_struct_0(sK4))
| k5_subset_1(u1_struct_0(sK4),sK6,u1_struct_0(sK5)) = k3_xboole_0(sK6,u1_struct_0(sK5)) ),
inference(instantiation,[status(thm)],[c_6445]) ).
cnf(c_366364,plain,
( ~ v3_pre_topc(sK6,sK4)
| k3_tex_4(sK4,sK6) = sK6 ),
inference(superposition,[status(thm)],[c_51,c_4239]) ).
cnf(c_366367,plain,
k3_tex_4(sK4,sK6) = sK6,
inference(global_subsumption_just,[status(thm)],[c_366364,c_50,c_10175]) ).
cnf(c_366370,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK4)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(equality_resolution,[status(thm)],[c_4086]) ).
cnf(c_366371,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_366370,c_10134]) ).
cnf(c_366372,plain,
( u1_struct_0(X0) != u1_struct_0(sK5)
| ~ l1_struct_0(X0)
| m1_subset_1(k4_pre_topc(sK4,X0,k4_tsp_2(sK4,sK5),X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(renaming,[status(thm)],[c_366371]) ).
cnf(c_366373,plain,
( ~ l1_struct_0(sK5)
| m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(equality_resolution,[status(thm)],[c_366372]) ).
cnf(c_366383,plain,
m1_subset_1(k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),X0),k1_zfmisc_1(u1_struct_0(sK5))),
inference(global_subsumption_just,[status(thm)],[c_366373,c_10103,c_10131,c_10129]) ).
cnf(c_366390,plain,
r1_tarski(sK6,u1_struct_0(sK4)),
inference(superposition,[status(thm)],[c_51,c_274]) ).
cnf(c_366393,plain,
r1_tarski(u1_struct_0(sK5),u1_struct_0(sK4)),
inference(superposition,[status(thm)],[c_3734,c_274]) ).
cnf(c_366431,plain,
k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),k3_tex_4(sK4,sK6)) = k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6),
inference(superposition,[status(thm)],[c_51,c_6235]) ).
cnf(c_366451,plain,
k4_pre_topc(sK4,sK5,k4_tsp_2(sK4,sK5),sK6) = k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),
inference(superposition,[status(thm)],[c_366367,c_366431]) ).
cnf(c_366459,plain,
m1_subset_1(k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_366451,c_366383]) ).
cnf(c_366695,plain,
( ~ r1_tarski(X0,u1_struct_0(sK4))
| k5_subset_1(u1_struct_0(sK4),X0,sK6) = k3_xboole_0(X0,sK6) ),
inference(superposition,[status(thm)],[c_366390,c_6445]) ).
cnf(c_366837,plain,
k5_subset_1(u1_struct_0(sK4),u1_struct_0(sK5),sK6) = k3_xboole_0(u1_struct_0(sK5),sK6),
inference(superposition,[status(thm)],[c_366393,c_366695]) ).
cnf(c_366906,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK5),sK6),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_366837,c_366459]) ).
cnf(c_367496,plain,
m1_subset_1(k3_xboole_0(sK6,u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK5))),
inference(superposition,[status(thm)],[c_126,c_366906]) ).
cnf(c_367548,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK6,X0)
| ~ sP1(sK5,X0)
| v3_pre_topc(k3_xboole_0(sK6,u1_struct_0(sK5)),sK5) ),
inference(superposition,[status(thm)],[c_367496,c_140]) ).
cnf(c_368591,plain,
( ~ sP1(sK5,X0)
| ~ v3_pre_topc(sK6,X0)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_367548,c_5672,c_133492,c_301856,c_357985,c_357986,c_366390,c_367548]) ).
cnf(c_368592,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK6,X0)
| ~ sP1(sK5,X0) ),
inference(renaming,[status(thm)],[c_368591]) ).
cnf(c_368594,plain,
( ~ v3_pre_topc(sK6,sK4)
| ~ sP1(sK5,sK4) ),
inference(superposition,[status(thm)],[c_51,c_368592]) ).
cnf(c_368596,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_368594,c_3726,c_50,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP041+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 23:31:02 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 178.85/24.41 % SZS status Started for theBenchmark.p
% 178.85/24.41 % SZS status Theorem for theBenchmark.p
% 178.85/24.41
% 178.85/24.41 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 178.85/24.41
% 178.85/24.41 ------ iProver source info
% 178.85/24.41
% 178.85/24.41 git: date: 2023-05-31 18:12:56 +0000
% 178.85/24.41 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 178.85/24.41 git: non_committed_changes: false
% 178.85/24.41 git: last_make_outside_of_git: false
% 178.85/24.41
% 178.85/24.41 ------ Parsing...
% 178.85/24.41 ------ Clausification by vclausify_rel & Parsing by iProver...
% 178.85/24.41
% 178.85/24.41 ------ Preprocessing... sup_sim: 0 sf_s rm: 96 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 19 0s sf_e pe_s pe_e
% 178.85/24.41
% 178.85/24.41 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 178.85/24.41
% 178.85/24.41 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 178.85/24.41 ------ Proving...
% 178.85/24.41 ------ Problem Properties
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 clauses 116
% 178.85/24.41 conjectures 5
% 178.85/24.41 EPR 23
% 178.85/24.41 Horn 109
% 178.85/24.41 unary 40
% 178.85/24.41 binary 31
% 178.85/24.41 lits 261
% 178.85/24.41 lits eq 26
% 178.85/24.41 fd_pure 0
% 178.85/24.41 fd_pseudo 0
% 178.85/24.41 fd_cond 1
% 178.85/24.41 fd_pseudo_cond 1
% 178.85/24.41 AC symbols 0
% 178.85/24.41
% 178.85/24.41 ------ Input Options Time Limit: Unbounded
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 ------
% 178.85/24.41 Current options:
% 178.85/24.41 ------
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 ------ Proving...
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 ------ Proving...
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 ------ Proving...
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 ------ Proving...
% 178.85/24.41
% 178.85/24.41
% 178.85/24.41 % SZS status Theorem for theBenchmark.p
% 178.85/24.41
% 178.85/24.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 178.85/24.41
% 178.85/24.42
%------------------------------------------------------------------------------