%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP036+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:55:26 PM UTC 2026
% Result : Theorem 11.00s 2.53s
% Output : CNFRefutation 11.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 39
% Syntax : Number of formulae : 334 ( 78 unt; 12 def)
% Number of atoms : 1432 ( 281 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1573 ( 675 ~; 734 |; 123 &)
% ( 5 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 13 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-4 aty)
% Number of variables : 497 ( 0 sgn 491 !; 6 ?; 245 :)
% 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,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_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,u1_struct_0(X0))
=> k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) = k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f55,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(f62,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(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k3_tsp_2(X0,X1),X0,X1)
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_tsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tsp_2) ).
fof(f64,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(f66,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f68,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f73,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f74,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(f85,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f91,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f109,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
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) )
=> k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_tsp_2) ).
fof(f111,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) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f113,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) )
=> k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(f114,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f115,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(f116,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(f118,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f119,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f120,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_relat_1(X1) )
=> r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t145_funct_1) ).
fof(f121,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ~ ( k9_relat_1(X1,X0) = k1_xboole_0
& r1_tarski(X0,k1_relat_1(X1))
& X0 != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t152_relat_1) ).
fof(f123,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] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_tsp_2) ).
fof(f124,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f125,axiom,
! [X0,X1] :
( r1_tarski(X0,k1_tarski(X1))
<=> ( X0 = k1_tarski(X1)
| X0 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f126,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(f128,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_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) )
=> ( r1_tarski(k2_relat_1(X2),k2_pre_topc(X1))
& k1_relat_1(X2) = k2_pre_topc(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_2) ).
fof(f135,plain,
! [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(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_tsp_2(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f136,plain,
! [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))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f149,plain,
? [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,u1_struct_0(X0))
& k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f150,plain,
? [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,u1_struct_0(X0))
& k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X0,X2)) != k4_pre_topc(X0,X1,k3_tsp_2(X0,X1),k4_tex_4(X0,X2)) ) ) ),
inference(flattening,[],[f149]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f220,plain,
! [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))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f136]) ).
fof(f221,plain,
! [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))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k1_tsp_2(X0,X1)) ) ),
inference(flattening,[],[f220]) ).
fof(f225,plain,
! [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(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_tsp_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f135]) ).
fof(f226,plain,
! [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(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(k3_tsp_2(X0,X1)) ) ),
inference(flattening,[],[f225]) ).
fof(f229,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f230,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) ) ),
inference(flattening,[],[f229]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(flattening,[],[f233]) ).
fof(f235,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f238,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f243,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f85]) ).
fof(f244,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f243]) ).
fof(f272,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f273,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [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)
| k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f275,plain,
! [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)
| k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
inference(flattening,[],[f274]) ).
fof(f276,plain,
! [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)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(ennf_transformation,[],[f111]) ).
fof(f277,plain,
! [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)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(flattening,[],[f276]) ).
fof(f280,plain,
! [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)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(ennf_transformation,[],[f113]) ).
fof(f281,plain,
! [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)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(ennf_transformation,[],[f114]) ).
fof(f283,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f285,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(ennf_transformation,[],[f118]) ).
fof(f286,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(flattening,[],[f285]) ).
fof(f287,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f288,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f289,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(flattening,[],[f288]) ).
fof(f290,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f121]) ).
fof(f291,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(flattening,[],[f290]) ).
fof(f293,plain,
! [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,u1_struct_0(X0))
| k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) ) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f294,plain,
! [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,u1_struct_0(X0))
| k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) ) ) ),
inference(flattening,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f296,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f295]) ).
fof(f299,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_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)
| ( r1_tarski(k2_relat_1(X2),k2_pre_topc(X1))
& k1_relat_1(X2) = k2_pre_topc(X0) ) ) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f300,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_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)
| ( r1_tarski(k2_relat_1(X2),k2_pre_topc(X1))
& k1_relat_1(X2) = k2_pre_topc(X0) ) ) ) ),
inference(flattening,[],[f299]) ).
fof(f309,plain,
( l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2)
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& m1_subset_1(sK4,u1_struct_0(sK2))
& k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK2,sK4)) != k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k4_tex_4(sK2,sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f150]) ).
fof(f332,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,[],[f115]) ).
fof(f333,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) )
& ( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0) ) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f334,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,k1_tarski(X1))
| X0 = k1_tarski(X1)
| X0 = k1_xboole_0 )
& ( ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f335,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,k1_tarski(X1))
| X0 = k1_tarski(X1)
| X0 = k1_xboole_0 )
& ( ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 )
| r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f334]) ).
fof(f336,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,[],[f126]) ).
fof(f337,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f338,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f339,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f340,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f341,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f309]) ).
fof(f342,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f309]) ).
fof(f343,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f309]) ).
fof(f344,plain,
k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK2,sK4)) != k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k4_tex_4(sK2,sK4)),
inference(cnf_transformation,[],[f309]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f462,plain,
! [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)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f464,plain,
! [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)
| v1_funct_1(k1_tsp_2(X0,X1)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f467,plain,
! [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(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f226]) ).
fof(f468,plain,
! [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)
| v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f226]) ).
fof(f469,plain,
! [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)
| v1_funct_1(k3_tsp_2(X0,X1)) ),
inference(cnf_transformation,[],[f226]) ).
fof(f471,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f230]) ).
fof(f472,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f230]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f475,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f477,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f237]) ).
fof(f478,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f495,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f506,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f91]) ).
fof(f563,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f564,plain,
! [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)
| k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f565,plain,
! [X2,X3,X0,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)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
fof(f567,plain,
! [X2,X3,X0,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)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f281]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(cnf_transformation,[],[f283]) ).
fof(f569,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f570,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
fof(f571,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f574,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ),
inference(cnf_transformation,[],[f286]) ).
fof(f575,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f576,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f577,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f291]) ).
fof(f579,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_tex_4(X0,X2) = k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) ),
inference(cnf_transformation,[],[f294]) ).
fof(f580,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f581,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f335]) ).
fof(f584,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
fof(f588,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ m2_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)
| k2_pre_topc(X0) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_49,negated_conjecture,
k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK2,sK4)) != k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k4_tex_4(sK2,sK4)),
inference(cnf_transformation,[],[f344]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f343]) ).
tcf(c_51,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f342]) ).
tcf(c_52,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f341]) ).
tcf(c_53,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f340]) ).
tcf(c_54,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f339]) ).
tcf(c_55,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f338]) ).
tcf(c_56,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f337]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(k1_tsp_2(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(k1_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(k3_tsp_2(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(k3_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f468]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(k3_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(k4_tex_4(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k4_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_155,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_175,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_181,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f506]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_struct_0(X1,X0) = k1_tarski(X0) )
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k3_tsp_2(X1,X0) = k1_tsp_2(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X0,X1)
| ~ v2_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f564]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_pre_topc(X1,X2,X0,X3) = k9_relat_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f565]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k5_pre_topc(X1,X2,X0,X3) = k10_relat_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X0,X1) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i] :
( ( k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0)) )
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r2_hidden(X0,k1_relat_1(X1)) ),
inference(cnf_transformation,[],[f574]) ).
tcf(c_255,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = k2_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f576]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( ( X1 = k1_xboole_0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ( k9_relat_1(X0,X1) != k1_xboole_0 ) ),
inference(cnf_transformation,[],[f577]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X0))) = k4_tex_4(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f579]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f580]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( ( X0 = k1_xboole_0 )
| ( k1_tarski(X1) = X0 )
| ~ r1_tarski(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f584]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| ( k2_pre_topc(X1) = k1_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_281,plain,
( l1_struct_0(sK2)
| ~ l1_pre_topc(sK2) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_354,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_250]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_460]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_249,c_157]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_560]) ).
tcf(c_3968,plain,
! [X0: $i,X1: $i] :
( m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_252]) ).
tcf(c_3969,plain,
( m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_3968]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_158]) ).
tcf(c_3976,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_3975]) ).
tcf(c_3982,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k5_pre_topc(X0,X1,k3_tsp_2(X0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),k3_tsp_2(X0,X1),X2))) = k4_tex_4(X0,X2) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v2_tsp_2(X1,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_259]) ).
tcf(c_3983,plain,
! [X0: $i] :
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| ( k5_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK3,k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0))) = k4_tex_4(sK2,X0) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v2_tsp_2(sK3,sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_3982]) ).
tcf(c_3985,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK3,k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0))) = k4_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_3983,c_56,c_55,c_54,c_52,c_51,c_3983]) ).
tcf(c_4086,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| ( k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_244]) ).
tcf(c_4087,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| ( k3_tsp_2(sK2,sK3) = k1_tsp_2(sK2,sK3) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4086]) ).
tcf(c_4088,plain,
k3_tsp_2(sK2,sK3) = k1_tsp_2(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_4087,c_56,c_55,c_54,c_51,c_3969,c_4087]) ).
tcf(c_4093,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_149]) ).
tcf(c_4094,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4093]) ).
tcf(c_4095,plain,
m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4094,c_56,c_55,c_54,c_51,c_3969,c_4094]) ).
tcf(c_4100,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_2(k3_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_148]) ).
tcf(c_4101,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v1_funct_2(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4100]) ).
tcf(c_4102,plain,
v1_funct_2(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4101,c_56,c_55,c_54,c_51,c_3969,c_4101]) ).
tcf(c_4107,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(k3_tsp_2(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_147]) ).
tcf(c_4108,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4107]) ).
tcf(c_4109,plain,
v1_funct_1(k3_tsp_2(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_4108,c_56,c_55,c_54,c_51,c_3969,c_4108]) ).
tcf(c_4114,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_144]) ).
tcf(c_4115,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| m2_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4114]) ).
tcf(c_4116,plain,
m2_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4115,c_56,c_55,c_54,c_51,c_3969,c_4115]) ).
tcf(c_4128,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(k1_tsp_2(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_142]) ).
tcf(c_4129,plain,
( v3_struct_0(sK3)
| v3_struct_0(sK2)
| v1_funct_1(k1_tsp_2(sK2,sK3))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_4128]) ).
tcf(c_4130,plain,
v1_funct_1(k1_tsp_2(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_4129,c_56,c_55,c_54,c_51,c_3969,c_4129]) ).
tcf(c_4165,plain,
! [X0: $i,X1: $i] :
( l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_158]) ).
tcf(c_4166,plain,
( l1_pre_topc(sK3)
| ~ l1_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_4165]) ).
tcf(c_4167,plain,
l1_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4166,c_56,c_3976]) ).
tcf(c_4303,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 )
| ( k3_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_461,c_4095]) ).
tcf(c_4304,plain,
m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_4303]) ).
tcf(c_4873,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k2_pre_topc(X0) = k1_relat_1(X2) )
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_267,c_4102]) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3)) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(unflattening,[status(thm)],[c_4873]) ).
tcf(c_4876,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3)) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ~ m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_4874,c_56,c_55,c_54,c_51,c_3969,c_4108,c_4874]) ).
tcf(c_4877,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3)) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(renaming,[status(thm)],[c_4876]) ).
tcf(c_4900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) )
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_247,c_4102]) ).
tcf(c_4901,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(unflattening,[status(thm)],[c_4900]) ).
tcf(c_4903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_4901,c_56,c_55,c_54,c_51,c_3969,c_4108,c_4901]) ).
tcf(c_4904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(renaming,[status(thm)],[c_4903]) ).
tcf(c_4924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) )
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_245,c_4102]) ).
tcf(c_4925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(unflattening,[status(thm)],[c_4924]) ).
tcf(c_4927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_4925,c_56,c_55,c_54,c_51,c_3969,c_4108,c_4925]) ).
tcf(c_4928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(X0),u1_struct_0(X1))
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(renaming,[status(thm)],[c_4927]) ).
tcf(c_5146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| ( k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3) )
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 )
| ( k3_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_4102]) ).
tcf(c_5147,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK2))
| ( k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0) = k1_funct_1(k3_tsp_2(sK2,sK3),X0) )
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5146]) ).
tcf(c_5158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X0,X1,X2)
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 )
| ( k3_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_4102]) ).
tcf(c_5159,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK2))
| m1_subset_1(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0),u1_struct_0(sK3))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_5158]) ).
tcf(c_5278,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1)
| ~ v1_relat_1(X0)
| ( k3_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_256,c_4109]) ).
tcf(c_5279,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(k3_tsp_2(sK2,sK3),k10_relat_1(k3_tsp_2(sK2,sK3),X0)),X0)
| ~ v1_relat_1(k3_tsp_2(sK2,sK3)) ),
inference(unflattening,[status(thm)],[c_5278]) ).
tcf(c_5308,plain,
! [X0: $i,X1: $i] :
( ( k1_tarski(k1_funct_1(X0,X1)) = k9_relat_1(X0,k1_tarski(X1)) )
| ~ v1_relat_1(X0)
| ~ r2_hidden(X1,k1_relat_1(X0))
| ( k1_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_254,c_4130]) ).
tcf(c_5309,plain,
! [X0: $i] :
( ( k1_tarski(k1_funct_1(k1_tsp_2(sK2,sK3),X0)) = k9_relat_1(k1_tsp_2(sK2,sK3),k1_tarski(X0)) )
| ~ v1_relat_1(k1_tsp_2(sK2,sK3))
| ~ r2_hidden(X0,k1_relat_1(k1_tsp_2(sK2,sK3))) ),
inference(unflattening,[status(thm)],[c_5308]) ).
tcf(c_5868,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 )
| ( k1_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_461,c_4116]) ).
tcf(c_5869,plain,
m1_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_5868]) ).
tcf(c_6157,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_4116,c_4877]) ).
tcf(c_6159,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_6157,c_56,c_55,c_54,c_51,c_3969,c_4087,c_6157]) ).
tcf(c_6786,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ( u1_struct_0(sK3) != X2 )
| ( u1_struct_0(sK2) != X1 )
| ( k1_tsp_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_561,c_5869]) ).
tcf(c_6787,plain,
m1_subset_1(k1_tsp_2(sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3)))),
inference(unflattening,[status(thm)],[c_6786]) ).
tcf(c_7319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_5869,c_4928]) ).
tcf(c_7321,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_7319,c_56,c_55,c_54,c_51,c_3969,c_4087,c_7319]) ).
tcf(c_7339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) )
| ( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_5869,c_4904]) ).
tcf(c_7341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(global_subsumption_just,[status(thm)],[c_7339,c_56,c_55,c_54,c_51,c_3969,c_4087,c_7339]) ).
tcf(c_7425,plain,
! [X0: $i,X1: $i] :
( ( k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X1) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( X0 != sK3 )
| ( u1_struct_0(X1) != u1_struct_0(sK2) )
| ( u1_struct_0(X0) != u1_struct_0(sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_6159]) ).
tcf(c_7426,plain,
! [X0: $i] :
( ( k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) )
| ~ l1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ( u1_struct_0(sK3) != u1_struct_0(sK3) )
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(unflattening,[status(thm)],[c_7425]) ).
tcf(c_7491,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_243]) ).
tcf(c_7492,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,u1_struct_0(sK3)) ),
inference(unflattening,[status(thm)],[c_7491]) ).
tcf(c_7679,plain,
! [X0: $i,X1: $i] :
( ( k1_struct_0(X0,X1) = k1_tarski(X1) )
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_243]) ).
tcf(c_7680,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7679]) ).
tcf(c_7691,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_152]) ).
tcf(c_7692,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7691]) ).
tcf(c_7703,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_151]) ).
tcf(c_7704,plain,
! [X0: $i] :
( ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7703]) ).
tcf(c_7776,plain,
! [X0: $i] :
( ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_175]) ).
tcf(c_7777,plain,
( ~ l1_struct_0(sK2)
| ~ v1_xboole_0(u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_7776]) ).
tcf(c_7778,plain,
~ v1_xboole_0(u1_struct_0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_7777,c_56,c_54,c_281,c_354]) ).
tcf(c_8992,plain,
! [X0: $i] :
( ( k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) )
| ~ l1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != u1_struct_0(sK2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_7426]) ).
tcf(c_9987,plain,
m1_subset_1(k3_tsp_2(sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3)))),
inference(light_normalisation,[status(thm)],[c_6787,c_4088]) ).
tcf(c_10237,plain,
! [X0: $i] :
( ( k1_tarski(k1_funct_1(k3_tsp_2(sK2,sK3),X0)) = k9_relat_1(k3_tsp_2(sK2,sK3),k1_tarski(X0)) )
| ~ v1_relat_1(k3_tsp_2(sK2,sK3))
| ~ r2_hidden(X0,k1_relat_1(k3_tsp_2(sK2,sK3))) ),
inference(light_normalisation,[status(thm)],[c_5309,c_4088]) ).
tcf(c_10913,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK3,k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0))) = k4_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_3985]) ).
tcf(c_10915,plain,
! [X0: $i] :
( ( k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0) = k1_funct_1(k3_tsp_2(sK2,sK3),X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_54,c_51,c_281,c_354,c_3969,c_4108,c_4304,c_5147]) ).
tcf(c_10917,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),k3_tsp_2(sK2,sK3),X0),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_54,c_51,c_281,c_354,c_3969,c_4108,c_4304,c_5159]) ).
tcf(c_10921,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_56,c_281,c_7680]) ).
tcf(c_10923,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_7692]) ).
tcf(c_10925,plain,
! [X0: $i] :
( ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK2)) ),
inference(prop_impl_just,[status(thm)],[c_56,c_55,c_7704]) ).
tcf(c_10939,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(k3_tsp_2(sK2,sK3),k10_relat_1(k3_tsp_2(sK2,sK3),X0)),X0)
| ~ v1_relat_1(k3_tsp_2(sK2,sK3)) ),
inference(prop_impl_just,[status(thm)],[c_5279]) ).
tcf(c_12569,definition,
iPr_def_14 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_12570,definition,
iPr_def_15 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_12572,definition,
iPr_def_17 = k3_tsp_2(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_12573,definition,
iPr_def_18 = k1_relat_1(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_12577,definition,
iPr_def_22 = k2_pre_topc(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_12579,definition,
iPr_def_24 = k1_zfmisc_1(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_12585,definition,
iPr_def_30 = k2_zfmisc_1(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_12586,definition,
iPr_def_31 = k1_zfmisc_1(iPr_def_30),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_12588,definition,
iPr_def_33 = k1_struct_0(sK2,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_12589,definition,
iPr_def_34 = k4_pre_topc(sK2,sK3,iPr_def_17,iPr_def_33),
introduced(definition,[new_symbols(definition,[iPr_def_34])],[]) ).
tcf(c_12590,definition,
iPr_def_35 = k4_tex_4(sK2,sK4),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_12591,definition,
iPr_def_36 = k4_pre_topc(sK2,sK3,iPr_def_17,iPr_def_35),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_12597,plain,
! [X0: $i] :
( ( iPr_def_18 = k2_pre_topc(X0) )
| ~ l1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_8992]) ).
tcf(c_12601,plain,
~ v1_xboole_0(iPr_def_14),
inference(demodulation,[status(thm)],[c_7778]) ).
tcf(c_12617,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ l1_struct_0(sK3)
| ~ m1_subset_1(X0,iPr_def_15) ),
inference(demodulation,[status(thm)],[c_7492]) ).
tcf(c_12618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_pre_topc(X0,X1,iPr_def_17,X2) = k10_relat_1(iPr_def_17,X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != iPr_def_15 )
| ( u1_struct_0(X0) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_7341]) ).
tcf(c_12619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_pre_topc(X0,X1,iPr_def_17,X2) = k9_relat_1(iPr_def_17,X2) )
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X1) != iPr_def_15 )
| ( u1_struct_0(X0) != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_7321]) ).
tcf(c_12622,plain,
m1_subset_1(iPr_def_17,iPr_def_31),
inference(demodulation,[status(thm)],[c_9987,c_12585,c_12586]) ).
tcf(c_12623,plain,
! [X0: $i] :
( ( k1_tarski(k1_funct_1(iPr_def_17,X0)) = k9_relat_1(iPr_def_17,k1_tarski(X0)) )
| ~ v1_relat_1(iPr_def_17)
| ~ r2_hidden(X0,iPr_def_18) ),
inference(demodulation,[status(thm)],[c_10237]) ).
tcf(c_12626,plain,
l1_pre_topc(sK3),
inference(demodulation,[status(thm)],[c_4167]) ).
tcf(c_12627,negated_conjecture,
l1_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_12629,negated_conjecture,
m1_subset_1(sK4,iPr_def_14),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_12630,negated_conjecture,
iPr_def_34 != iPr_def_36,
inference(demodulation,[status(thm)],[c_49,c_12590,c_12591,c_12588,c_12589]) ).
tcf(c_14942,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_12627,c_155]) ).
tcf(c_14944,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_12626,c_155]) ).
tcf(c_14946,plain,
! [X0: $i] :
( ( k1_struct_0(sK3,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_15) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12617,c_14944]) ).
tcf(c_14967,plain,
! [X0: $i] :
( ( iPr_def_18 = k2_pre_topc(X0) )
| ( u1_struct_0(X0) != iPr_def_14 )
| ~ l1_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12597,c_12597,c_14944]) ).
tcf(c_14968,plain,
! [X0: $i] :
( ( iPr_def_18 = k2_pre_topc(X0) )
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_14967]) ).
tcf(c_14976,plain,
( ( k2_pre_topc(sK2) = iPr_def_18 )
| ~ l1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_12569,c_14968]) ).
tcf(c_14979,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ l1_struct_0(sK2) ),
inference(light_normalisation,[status(thm)],[c_14976,c_12577]) ).
tcf(c_14980,plain,
iPr_def_18 = iPr_def_22,
inference(forward_subsumption_resolution,[status(thm)],[c_14979,c_14942]) ).
tcf(c_15008,plain,
k2_pre_topc(sK2) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_12577,c_14980]) ).
tcf(c_15263,plain,
! [X0: $i,X1: $i] :
( ( k5_pre_topc(sK2,X0,iPr_def_17,X1) = k10_relat_1(iPr_def_17,X1) )
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12569,c_12618]) ).
tcf(c_15266,plain,
! [X0: $i,X1: $i] :
( ( k5_pre_topc(sK2,X0,iPr_def_17,X1) = k10_relat_1(iPr_def_17,X1) )
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15263,c_14942]) ).
tcf(c_15323,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,iPr_def_17,X0) = k10_relat_1(iPr_def_17,X0) )
| ~ l1_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_12570,c_15266]) ).
tcf(c_15325,plain,
! [X0: $i] : k5_pre_topc(sK2,sK3,iPr_def_17,X0) = k10_relat_1(iPr_def_17,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15323,c_14944]) ).
tcf(c_15387,plain,
! [X0: $i,X1: $i] :
( ( k4_pre_topc(sK2,X0,iPr_def_17,X1) = k9_relat_1(iPr_def_17,X1) )
| ~ l1_struct_0(sK2)
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12569,c_12619]) ).
tcf(c_15390,plain,
! [X0: $i,X1: $i] :
( ( k4_pre_topc(sK2,X0,iPr_def_17,X1) = k9_relat_1(iPr_def_17,X1) )
| ~ l1_struct_0(X0)
| ( u1_struct_0(X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15387,c_14942]) ).
tcf(c_15440,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_14)
| ~ m1_subset_1(X0,iPr_def_24) ),
inference(superposition,[status(thm)],[c_12579,c_265]) ).
tcf(c_15468,plain,
! [X0: $i] :
( ( k4_pre_topc(sK2,sK3,iPr_def_17,X0) = k9_relat_1(iPr_def_17,X0) )
| ~ l1_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_12570,c_15390]) ).
tcf(c_15470,plain,
! [X0: $i] : k4_pre_topc(sK2,sK3,iPr_def_17,X0) = k9_relat_1(iPr_def_17,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15468,c_14944]) ).
tcf(c_15478,plain,
k9_relat_1(iPr_def_17,iPr_def_33) = iPr_def_34,
inference(demodulation,[status(thm)],[c_12589,c_15470]) ).
tcf(c_15523,plain,
k9_relat_1(iPr_def_17,iPr_def_35) = iPr_def_36,
inference(demodulation,[status(thm)],[c_12591,c_15470]) ).
tcf(c_15532,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_30)) ),
inference(superposition,[status(thm)],[c_12585,c_98]) ).
tcf(c_15533,plain,
! [X0: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,iPr_def_31) ),
inference(light_normalisation,[status(thm)],[c_15532,c_12586]) ).
tcf(c_15622,plain,
u1_struct_0(sK2) = k2_pre_topc(sK2),
inference(superposition,[status(thm)],[c_14942,c_255]) ).
tcf(c_15626,plain,
iPr_def_14 = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_15622,c_12569,c_15008]) ).
tcf(c_15636,plain,
! [X0: $i] :
( ( k1_tarski(k1_funct_1(iPr_def_17,X0)) = k9_relat_1(iPr_def_17,k1_tarski(X0)) )
| ~ v1_relat_1(iPr_def_17)
| ~ r2_hidden(X0,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_12623,c_15626]) ).
tcf(c_15641,plain,
k1_relat_1(iPr_def_17) = iPr_def_14,
inference(demodulation,[status(thm)],[c_12573,c_15626]) ).
tcf(c_15676,plain,
( v1_xboole_0(iPr_def_14)
| r2_hidden(sK4,iPr_def_14) ),
inference(superposition,[status(thm)],[c_12629,c_260]) ).
tcf(c_15695,plain,
r2_hidden(sK4,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_15676,c_12601]) ).
tcf(c_15779,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_14)
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_10925,c_12569]) ).
tcf(c_15786,plain,
( ~ v1_xboole_0(iPr_def_35)
| ~ m1_subset_1(sK4,iPr_def_14) ),
inference(superposition,[status(thm)],[c_12590,c_15779]) ).
tcf(c_15787,plain,
~ v1_xboole_0(iPr_def_35),
inference(forward_subsumption_resolution,[status(thm)],[c_15786,c_12629]) ).
tcf(c_15910,plain,
! [X0: $i] :
( ( k1_struct_0(sK2,X0) = k1_tarski(X0) )
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_10921,c_12569]) ).
tcf(c_15918,plain,
k1_struct_0(sK2,sK4) = k1_tarski(sK4),
inference(superposition,[status(thm)],[c_12629,c_15910]) ).
tcf(c_15919,plain,
k1_tarski(sK4) = iPr_def_33,
inference(light_normalisation,[status(thm)],[c_15918,c_12588]) ).
tcf(c_15920,plain,
! [X0: $i] :
( m1_subset_1(k4_tex_4(sK2,X0),iPr_def_24)
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_10923,c_12569,c_12579]) ).
tcf(c_15927,plain,
( m1_subset_1(iPr_def_35,iPr_def_24)
| ~ m1_subset_1(sK4,iPr_def_14) ),
inference(superposition,[status(thm)],[c_12590,c_15920]) ).
tcf(c_15929,plain,
m1_subset_1(iPr_def_35,iPr_def_24),
inference(forward_subsumption_resolution,[status(thm)],[c_15927,c_12629]) ).
tcf(c_16149,plain,
! [X0: $i] :
( r1_tarski(k9_relat_1(iPr_def_17,k10_relat_1(iPr_def_17,X0)),X0)
| ~ v1_relat_1(iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10939,c_12572]) ).
tcf(c_16262,plain,
! [X0: $i] :
( m1_subset_1(k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,X0),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_10917,c_12569,c_12570,c_12572]) ).
tcf(c_16302,plain,
! [X0: $i] :
( ( k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,X0) = k1_funct_1(iPr_def_17,X0) )
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_10915,c_12569,c_12570,c_12572]) ).
tcf(c_16310,plain,
k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,sK4) = k1_funct_1(iPr_def_17,sK4),
inference(superposition,[status(thm)],[c_12629,c_16302]) ).
tcf(c_16311,plain,
! [X0: $i] :
( ( k5_pre_topc(sK2,sK3,iPr_def_17,k1_struct_0(sK3,k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,X0))) = k4_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_10913,c_12569,c_12570,c_12572]) ).
tcf(c_16312,plain,
! [X0: $i] :
( ( k10_relat_1(iPr_def_17,k1_struct_0(sK3,k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,X0))) = k4_tex_4(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_16311,c_15325]) ).
tcf(c_16320,plain,
k10_relat_1(iPr_def_17,k1_struct_0(sK3,k8_funct_2(iPr_def_14,iPr_def_15,iPr_def_17,sK4))) = k4_tex_4(sK2,sK4),
inference(superposition,[status(thm)],[c_12629,c_16312]) ).
tcf(c_16321,plain,
k10_relat_1(iPr_def_17,k1_struct_0(sK3,k1_funct_1(iPr_def_17,sK4))) = iPr_def_35,
inference(light_normalisation,[status(thm)],[c_16320,c_12590,c_16310]) ).
tcf(c_16323,plain,
( m1_subset_1(k1_funct_1(iPr_def_17,sK4),iPr_def_15)
| ~ m1_subset_1(sK4,iPr_def_14) ),
inference(superposition,[status(thm)],[c_16310,c_16262]) ).
tcf(c_16324,plain,
m1_subset_1(k1_funct_1(iPr_def_17,sK4),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_16323,c_12629]) ).
tcf(c_16327,plain,
k1_struct_0(sK3,k1_funct_1(iPr_def_17,sK4)) = k1_tarski(k1_funct_1(iPr_def_17,sK4)),
inference(superposition,[status(thm)],[c_16324,c_14946]) ).
tcf(c_16346,plain,
k10_relat_1(iPr_def_17,k1_tarski(k1_funct_1(iPr_def_17,sK4))) = iPr_def_35,
inference(light_normalisation,[status(thm)],[c_16321,c_16327]) ).
tcf(c_16347,plain,
( r1_tarski(k9_relat_1(iPr_def_17,iPr_def_35),k1_tarski(k1_funct_1(iPr_def_17,sK4)))
| ~ v1_relat_1(iPr_def_17) ),
inference(superposition,[status(thm)],[c_16346,c_16149]) ).
tcf(c_16349,plain,
( r1_tarski(iPr_def_36,k1_tarski(k1_funct_1(iPr_def_17,sK4)))
| ~ v1_relat_1(iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_16347,c_15523]) ).
tcf(c_16411,plain,
( ( k1_tarski(k1_funct_1(iPr_def_17,sK4)) = k9_relat_1(iPr_def_17,k1_tarski(sK4)) )
| ~ v1_relat_1(iPr_def_17) ),
inference(superposition,[status(thm)],[c_15695,c_15636]) ).
tcf(c_16412,plain,
( ( k1_tarski(k1_funct_1(iPr_def_17,sK4)) = iPr_def_34 )
| ~ v1_relat_1(iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_16411,c_15478,c_15919]) ).
tcf(c_16559,plain,
( ( k1_xboole_0 = iPr_def_36 )
| ( k1_tarski(k1_funct_1(iPr_def_17,sK4)) = iPr_def_36 )
| ~ v1_relat_1(iPr_def_17) ),
inference(superposition,[status(thm)],[c_16349,c_263]) ).
tcf(c_16708,plain,
v1_relat_1(iPr_def_17),
inference(superposition,[status(thm)],[c_12622,c_15533]) ).
tcf(c_16713,plain,
( ( k1_xboole_0 = iPr_def_36 )
| ( k1_tarski(k1_funct_1(iPr_def_17,sK4)) = iPr_def_36 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16559,c_16708]) ).
tcf(c_16714,plain,
k1_tarski(k1_funct_1(iPr_def_17,sK4)) = iPr_def_34,
inference(backward_subsumption_resolution,[status(thm)],[c_16412,c_16708]) ).
tcf(c_16777,plain,
( ( iPr_def_34 = iPr_def_36 )
| ( k1_xboole_0 = iPr_def_36 ) ),
inference(light_normalisation,[status(thm)],[c_16713,c_16714]) ).
tcf(c_16778,plain,
k1_xboole_0 = iPr_def_36,
inference(forward_subsumption_resolution,[status(thm)],[c_16777,c_12630]) ).
tcf(c_16785,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_36 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(X1,k1_relat_1(X0))
| ( k9_relat_1(X0,X1) != iPr_def_36 ) ),
inference(demodulation,[status(thm)],[c_257,c_16778]) ).
tcf(c_16799,plain,
v1_xboole_0(iPr_def_36),
inference(demodulation,[status(thm)],[c_181,c_16778]) ).
tcf(c_16961,plain,
( ( iPr_def_35 = iPr_def_36 )
| ~ v1_relat_1(iPr_def_17)
| ~ r1_tarski(iPr_def_35,k1_relat_1(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_15523,c_16785]) ).
tcf(c_16962,plain,
( ( iPr_def_35 = iPr_def_36 )
| ~ v1_relat_1(iPr_def_17)
| ~ r1_tarski(iPr_def_35,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_16961,c_15641]) ).
tcf(c_16963,plain,
( ( iPr_def_35 = iPr_def_36 )
| ~ r1_tarski(iPr_def_35,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16962,c_16708]) ).
tcf(c_17508,plain,
r1_tarski(iPr_def_35,iPr_def_14),
inference(superposition,[status(thm)],[c_15929,c_15440]) ).
tcf(c_17521,plain,
iPr_def_35 = iPr_def_36,
inference(backward_subsumption_resolution,[status(thm)],[c_16963,c_17508]) ).
tcf(c_17572,plain,
v1_xboole_0(iPr_def_35),
inference(demodulation,[status(thm)],[c_16799,c_17521]) ).
tcf(c_17580,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17572,c_15787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP036+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.42 % Computer : n019.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Fri Sep 25 04:14:49 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.49 Running first-order theorem proving
% 0.18/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50
% 0.18/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.18/0.50
% 0.18/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 11.00/2.53 % SZS status Started for theBenchmark.p
% 11.00/2.53 % SZS status Theorem for theBenchmark.p
% 11.00/2.53
% 11.00/2.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.00/2.53
% 11.00/2.53 % ------ iProver source info
% 11.00/2.53
% 11.00/2.53 % git: date: 2026-07-19 20:42:38 +0200
% 11.00/2.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.00/2.53 % git: non_committed_changes: false
% 11.00/2.53
% 11.00/2.53 % ------ Parsing...
% 11.00/2.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.00/2.53
% 11.00/2.53 % ------ 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_e sup_sim: 22 sf_s rm: 18 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 18 0s sf_e pe_s pe_e %
% 11.00/2.53
% 11.00/2.53 % ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.00/2.53
% 11.00/2.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.00/2.53 % ------ Proving...
% 11.00/2.53 % ------ Problem Properties
% 11.00/2.53
% 11.00/2.53 %
% 11.00/2.53 % clauses 136
% 11.00/2.53 % conjectures 4
% 11.00/2.53 % EPR 42
% 11.00/2.53 % Horn 128
% 11.00/2.53 % unary 61
% 11.00/2.53 % binary 34
% 11.00/2.53 % lits 265
% 11.00/2.53 % lits eq 66
% 11.00/2.53 % fd_pure 0
% 11.00/2.53 % fd_pseudo 0
% 11.00/2.53 % fd_cond 2
% 11.00/2.53 % fd_pseudo_cond 2
% 11.00/2.53 % AC symbols 0
% 11.00/2.53
% 11.00/2.53 % ------ Schedule dynamic 5 is on
% 11.00/2.53
% 11.00/2.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.00/2.53
% 11.00/2.53
% 11.00/2.53 % ------
% 11.00/2.53 % Current options:
% 11.00/2.53 % ------
% 11.00/2.53
% 11.00/2.53
% 11.00/2.53 %
% 11.00/2.53
% 11.00/2.53 % ------ Proving...
% 11.00/2.53 %
% 11.00/2.53
% 11.00/2.53 % SZS status Theorem for theBenchmark.p
% 11.00/2.53
% 11.00/2.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.00/2.54
% 11.00/2.54
%------------------------------------------------------------------------------