TSTP Solution File: TOP036+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP036+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 May 3 03:40:59 EDT 2024
% Result : Theorem 3.82s 1.14s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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,[],[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)
=> u1_struct_0(X0) = k2_pre_topc(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)
=> ~ ( k1_xboole_0 = k9_relat_1(X1,X0)
& r1_tarski(X0,k1_relat_1(X1))
& k1_xboole_0 != X0 ) ),
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))
=> 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))) ) ) ),
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))
<=> ( k1_tarski(X1) = X0
| k1_xboole_0 = X0 ) ),
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))
& k2_pre_topc(X0) = k1_relat_1(X2) ) ) ) ),
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(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(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(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(f149,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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))
& m1_subset_1(X2,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(f150,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( 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))
& m1_subset_1(X2,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,[],[f149]) ).
fof(f175,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f220,plain,
! [X0,X1] :
( ( 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)) )
| ~ 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,[],[f135]) ).
fof(f221,plain,
! [X0,X1] :
( ( 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)) )
| ~ 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,[],[f220]) ).
fof(f225,plain,
! [X0,X1] :
( ( 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)) )
| ~ 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,[],[f136]) ).
fof(f226,plain,
! [X0,X1] :
( ( 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)) )
| ~ 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] :
( ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f230,plain,
! [X0,X1] :
( ( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(k4_tex_4(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f229]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),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) ),
inference(ennf_transformation,[],[f66]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),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) ),
inference(flattening,[],[f233]) ).
fof(f235,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f237,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f243,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f244,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f243]) ).
fof(f272,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f273,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0,X1] :
( k3_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(f275,plain,
! [X0,X1] :
( k3_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,[],[f274]) ).
fof(f276,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(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) ),
inference(ennf_transformation,[],[f111]) ).
fof(f277,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(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) ),
inference(flattening,[],[f276]) ).
fof(f280,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(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) ),
inference(ennf_transformation,[],[f113]) ).
fof(f281,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(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) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(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) ),
inference(ennf_transformation,[],[f114]) ).
fof(f283,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(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) ),
inference(flattening,[],[f282]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f285,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f286,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f285]) ).
fof(f287,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f288,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f289,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f288]) ).
fof(f290,plain,
! [X0,X1] :
( k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f291,plain,
! [X0,X1] :
( k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f290]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( 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)))
| ~ m1_subset_1(X2,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,[],[f123]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( 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)))
| ~ m1_subset_1(X2,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,[],[f293]) ).
fof(f295,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f296,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f295]) ).
fof(f299,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(k2_relat_1(X2),k2_pre_topc(X1))
& k2_pre_topc(X0) = k1_relat_1(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) )
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f300,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_tarski(k2_relat_1(X2),k2_pre_topc(X1))
& k2_pre_topc(X0) = k1_relat_1(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) )
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f299]) ).
fof(f309,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( 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))
& m1_subset_1(X2,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] :
( k4_pre_topc(sK2,X1,k3_tsp_2(sK2,X1),k1_struct_0(sK2,X2)) != k4_pre_topc(sK2,X1,k3_tsp_2(sK2,X1),k4_tex_4(sK2,X2))
& m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_tsp_1(X1,sK2)
& v2_tsp_2(X1,sK2)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
( ? [X1] :
( ? [X2] :
( k4_pre_topc(sK2,X1,k3_tsp_2(sK2,X1),k1_struct_0(sK2,X2)) != k4_pre_topc(sK2,X1,k3_tsp_2(sK2,X1),k4_tex_4(sK2,X2))
& m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_tsp_1(X1,sK2)
& v2_tsp_2(X1,sK2)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK2,X2)) != k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k4_tex_4(sK2,X2))
& m1_subset_1(X2,u1_struct_0(sK2)) )
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
( ? [X2] :
( k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k1_struct_0(sK2,X2)) != k4_pre_topc(sK2,sK3,k3_tsp_2(sK2,sK3),k4_tex_4(sK2,X2))
& m1_subset_1(X2,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))
& m1_subset_1(sK4,u1_struct_0(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,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))
& m1_subset_1(sK4,u1_struct_0(sK2))
& m2_tsp_1(sK3,sK2)
& v2_tsp_2(sK3,sK2)
& ~ v3_struct_0(sK3)
& l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f150,f311,f310,f309]) ).
fof(f353,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(f354,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,[],[f284]) ).
fof(f355,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 ) )
& ( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f356,plain,
! [X0,X1] :
( ( r1_tarski(X0,k1_tarski(X1))
| ( k1_tarski(X1) != X0
& k1_xboole_0 != X0 ) )
& ( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ) ),
inference(flattening,[],[f355]) ).
fof(f357,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(f358,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f359,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f360,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f361,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f312]) ).
fof(f362,plain,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f363,plain,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f312]) ).
fof(f364,plain,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f312]) ).
fof(f365,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,[],[f312]) ).
fof(f413,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f175]) ).
fof(f483,plain,
! [X0,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(cnf_transformation,[],[f221]) ).
fof(f485,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,[],[f221]) ).
fof(f488,plain,
! [X0,X1] :
( v1_funct_1(k3_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,[],[f226]) ).
fof(f489,plain,
! [X0,X1] :
( v1_funct_2(k3_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(f490,plain,
! [X0,X1] :
( m2_relset_1(k3_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(f492,plain,
! [X0,X1] :
( ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f493,plain,
! [X0,X1] :
( m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f495,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),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) ),
inference(cnf_transformation,[],[f234]) ).
fof(f496,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f498,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f499,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f516,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f522,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f91]) ).
fof(f584,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f585,plain,
! [X0,X1] :
( k3_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,[],[f275]) ).
fof(f586,plain,
! [X2,X3,X0,X1] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(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) ),
inference(cnf_transformation,[],[f277]) ).
fof(f588,plain,
! [X2,X3,X0,X1] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(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) ),
inference(cnf_transformation,[],[f281]) ).
fof(f589,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(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) ),
inference(cnf_transformation,[],[f283]) ).
fof(f590,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f591,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f592,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f595,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f596,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f597,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X0)),X0)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f598,plain,
! [X0,X1] :
( k1_xboole_0 != k9_relat_1(X1,X0)
| ~ r1_tarski(X0,k1_relat_1(X1))
| k1_xboole_0 = X0
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f291]) ).
fof(f600,plain,
! [X2,X0,X1] :
( 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)))
| ~ m1_subset_1(X2,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(cnf_transformation,[],[f294]) ).
fof(f601,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f602,plain,
! [X0,X1] :
( k1_tarski(X1) = X0
| k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_tarski(X1)) ),
inference(cnf_transformation,[],[f356]) ).
fof(f605,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f357]) ).
fof(f608,plain,
! [X2,X0,X1] :
( k2_pre_topc(X0) = k1_relat_1(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)
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(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,[],[f365]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(cnf_transformation,[],[f364]) ).
cnf(c_51,negated_conjecture,
m2_tsp_1(sK3,sK2),
inference(cnf_transformation,[],[f363]) ).
cnf(c_52,negated_conjecture,
v2_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f362]) ).
cnf(c_53,negated_conjecture,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f361]) ).
cnf(c_54,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f360]) ).
cnf(c_55,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f359]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f358]) ).
cnf(c_98,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(X0) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_142,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,[],[f485]) ).
cnf(c_144,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_1(k1_tsp_2(X1,X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f483]) ).
cnf(c_147,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m2_relset_1(k3_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_148,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_2(k3_tsp_2(X1,X0),u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_149,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v1_funct_1(k3_tsp_2(X1,X0))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f488]) ).
cnf(c_151,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| m1_subset_1(k4_tex_4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f493]) ).
cnf(c_152,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ v1_xboole_0(k4_tex_4(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f492]) ).
cnf(c_154,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_155,plain,
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f496]) ).
cnf(c_157,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f498]) ).
cnf(c_158,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_175,plain,
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f516]) ).
cnf(c_186,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f522]) ).
cnf(c_243,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| k1_struct_0(X1,X0) = k1_tarski(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f584]) ).
cnf(c_244,plain,
( ~ v2_tsp_2(X0,X1)
| ~ m1_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k3_tsp_2(X1,X0) = k1_tsp_2(X1,X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f585]) ).
cnf(c_245,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))
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| k4_pre_topc(X1,X2,X0,X3) = k9_relat_1(X0,X3) ),
inference(cnf_transformation,[],[f586]) ).
cnf(c_247,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))
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| k5_pre_topc(X1,X2,X0,X3) = k10_relat_1(X0,X3) ),
inference(cnf_transformation,[],[f588]) ).
cnf(c_248,plain,
( ~ v1_funct_2(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f589]) ).
cnf(c_249,plain,
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f591]) ).
cnf(c_250,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_252,plain,
( ~ m2_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| m1_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f592]) ).
cnf(c_254,plain,
( ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0)) ),
inference(cnf_transformation,[],[f595]) ).
cnf(c_255,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f596]) ).
cnf(c_256,plain,
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1) ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_257,plain,
( k9_relat_1(X0,X1) != k1_xboole_0
| ~ r1_tarski(X1,k1_relat_1(X0))
| ~ v1_relat_1(X0)
| X1 = k1_xboole_0 ),
inference(cnf_transformation,[],[f598]) ).
cnf(c_259,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(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)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f600]) ).
cnf(c_260,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f601]) ).
cnf(c_263,plain,
( ~ r1_tarski(X0,k1_tarski(X1))
| k1_tarski(X1) = X0
| X0 = k1_xboole_0 ),
inference(cnf_transformation,[],[f602]) ).
cnf(c_265,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f605]) ).
cnf(c_268,plain,
( ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X0)
| k2_pre_topc(X1) = k1_relat_1(X0)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_281,plain,
( ~ l1_pre_topc(sK2)
| l1_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_354,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ l1_struct_0(sK2)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_460,plain,
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_250]) ).
cnf(c_461,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_460]) ).
cnf(c_568,plain,
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_249,c_157]) ).
cnf(c_569,plain,
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(renaming,[status(thm)],[c_568]) ).
cnf(c_3979,plain,
( X0 != sK2
| X1 != sK3
| ~ l1_pre_topc(X0)
| m1_pre_topc(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_252]) ).
cnf(c_3980,plain,
( ~ l1_pre_topc(sK2)
| m1_pre_topc(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_3979]) ).
cnf(c_3986,plain,
( X0 != sK2
| X1 != sK3
| ~ l1_pre_topc(X0)
| l1_pre_topc(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_158]) ).
cnf(c_3987,plain,
( ~ l1_pre_topc(sK2)
| l1_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_3986]) ).
cnf(c_3993,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(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)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_259]) ).
cnf(c_3994,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v2_tsp_2(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(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)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_3993]) ).
cnf(c_3996,plain,
( ~ m1_subset_1(X0,u1_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) ),
inference(global_subsumption_just,[status(thm)],[c_3994,c_55,c_54,c_56,c_53,c_52,c_3994]) ).
cnf(c_4097,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k3_tsp_2(X0,X1) = k1_tsp_2(X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_244]) ).
cnf(c_4098,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| k3_tsp_2(sK2,sK3) = k1_tsp_2(sK2,sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4097]) ).
cnf(c_4099,plain,
k3_tsp_2(sK2,sK3) = k1_tsp_2(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_4098,c_55,c_54,c_56,c_53,c_3980,c_4098]) ).
cnf(c_4104,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_1(k3_tsp_2(X0,X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_149]) ).
cnf(c_4105,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v1_funct_1(k3_tsp_2(sK2,sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4104]) ).
cnf(c_4106,plain,
v1_funct_1(k3_tsp_2(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_4105,c_55,c_54,c_56,c_53,c_3980,c_4105]) ).
cnf(c_4111,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_2(k3_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_52,c_148]) ).
cnf(c_4112,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v1_funct_2(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4111]) ).
cnf(c_4113,plain,
v1_funct_2(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4112,c_55,c_54,c_56,c_53,c_3980,c_4112]) ).
cnf(c_4118,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m2_relset_1(k3_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_52,c_147]) ).
cnf(c_4119,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4118]) ).
cnf(c_4120,plain,
m2_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4119,c_55,c_54,c_56,c_53,c_3980,c_4119]) ).
cnf(c_4125,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_52,c_144]) ).
cnf(c_4126,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| v1_funct_1(k1_tsp_2(sK2,sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4125]) ).
cnf(c_4127,plain,
v1_funct_1(k1_tsp_2(sK2,sK3)),
inference(global_subsumption_just,[status(thm)],[c_4126,c_55,c_54,c_56,c_53,c_3980,c_4126]) ).
cnf(c_4139,plain,
( X0 != sK2
| X1 != sK3
| ~ 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_52,c_142]) ).
cnf(c_4140,plain,
( ~ m1_pre_topc(sK3,sK2)
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| m2_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| v3_struct_0(sK2)
| v3_struct_0(sK3) ),
inference(unflattening,[status(thm)],[c_4139]) ).
cnf(c_4141,plain,
m2_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(global_subsumption_just,[status(thm)],[c_4140,c_55,c_54,c_56,c_53,c_3980,c_4140]) ).
cnf(c_4176,plain,
( X0 != sK2
| X1 != sK3
| ~ l1_pre_topc(X0)
| l1_pre_topc(X1) ),
inference(resolution_lifted,[status(thm)],[c_51,c_158]) ).
cnf(c_4177,plain,
( ~ l1_pre_topc(sK2)
| l1_pre_topc(sK3) ),
inference(unflattening,[status(thm)],[c_4176]) ).
cnf(c_4178,plain,
l1_pre_topc(sK3),
inference(global_subsumption_just,[status(thm)],[c_4177,c_54,c_3987]) ).
cnf(c_4314,plain,
( k3_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| m1_relset_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_461,c_4120]) ).
cnf(c_4315,plain,
m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_4314]) ).
cnf(c_4857,plain,
( k3_tsp_2(sK2,sK3) != X2
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k2_pre_topc(X0) = k1_relat_1(X2)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_268,c_4113]) ).
cnf(c_4858,plain,
( 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))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_4857]) ).
cnf(c_4860,plain,
( ~ 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)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3))
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_4858,c_55,c_54,c_56,c_53,c_3980,c_4105,c_4858]) ).
cnf(c_4861,plain,
( 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))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k2_pre_topc(X0) = k1_relat_1(k3_tsp_2(sK2,sK3))
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_4860]) ).
cnf(c_4911,plain,
( k3_tsp_2(sK2,sK3) != X2
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_247,c_4113]) ).
cnf(c_4912,plain,
( 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))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(unflattening,[status(thm)],[c_4911]) ).
cnf(c_4914,plain,
( ~ 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)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(global_subsumption_just,[status(thm)],[c_4912,c_55,c_54,c_56,c_53,c_3980,c_4105,c_4912]) ).
cnf(c_4915,plain,
( 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))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(renaming,[status(thm)],[c_4914]) ).
cnf(c_4935,plain,
( k3_tsp_2(sK2,sK3) != X2
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_245,c_4113]) ).
cnf(c_4936,plain,
( 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))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(unflattening,[status(thm)],[c_4935]) ).
cnf(c_4938,plain,
( ~ 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)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(global_subsumption_just,[status(thm)],[c_4936,c_55,c_54,c_56,c_53,c_3980,c_4105,c_4936]) ).
cnf(c_4939,plain,
( 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))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(renaming,[status(thm)],[c_4938]) ).
cnf(c_5157,plain,
( k3_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| k8_funct_2(X1,X2,X0,X3) = k1_funct_1(X0,X3)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_248,c_4113]) ).
cnf(c_5158,plain,
( ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| 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_xboole_0(u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_5157]) ).
cnf(c_5169,plain,
( k3_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| ~ m1_relset_1(X0,X1,X2)
| ~ m1_subset_1(X3,X1)
| ~ v1_funct_1(X0)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),X2)
| v1_xboole_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_154,c_4113]) ).
cnf(c_5170,plain,
( ~ m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v1_funct_1(k3_tsp_2(sK2,sK3))
| 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_xboole_0(u1_struct_0(sK2)) ),
inference(unflattening,[status(thm)],[c_5169]) ).
cnf(c_5289,plain,
( k3_tsp_2(sK2,sK3) != X0
| ~ v1_relat_1(X0)
| r1_tarski(k9_relat_1(X0,k10_relat_1(X0,X1)),X1) ),
inference(resolution_lifted,[status(thm)],[c_256,c_4106]) ).
cnf(c_5290,plain,
( ~ v1_relat_1(k3_tsp_2(sK2,sK3))
| r1_tarski(k9_relat_1(k3_tsp_2(sK2,sK3),k10_relat_1(k3_tsp_2(sK2,sK3),X0)),X0) ),
inference(unflattening,[status(thm)],[c_5289]) ).
cnf(c_5319,plain,
( k1_tsp_2(sK2,sK3) != X0
| ~ r2_hidden(X1,k1_relat_1(X0))
| ~ v1_relat_1(X0)
| k1_tarski(k1_funct_1(X0,X1)) = k9_relat_1(X0,k1_tarski(X1)) ),
inference(resolution_lifted,[status(thm)],[c_254,c_4127]) ).
cnf(c_5320,plain,
( ~ r2_hidden(X0,k1_relat_1(k1_tsp_2(sK2,sK3)))
| ~ v1_relat_1(k1_tsp_2(sK2,sK3))
| k1_tarski(k1_funct_1(k1_tsp_2(sK2,sK3),X0)) = k9_relat_1(k1_tsp_2(sK2,sK3),k1_tarski(X0)) ),
inference(unflattening,[status(thm)],[c_5319]) ).
cnf(c_5874,plain,
( k3_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| m1_relset_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_461,c_4120]) ).
cnf(c_5875,plain,
m1_relset_1(k3_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_5874]) ).
cnf(c_5879,plain,
( k1_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| m1_relset_1(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_461,c_4141]) ).
cnf(c_5880,plain,
m1_relset_1(k1_tsp_2(sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK3)),
inference(unflattening,[status(thm)],[c_5879]) ).
cnf(c_6191,plain,
( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3)
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_4141,c_4861]) ).
cnf(c_6193,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_6191,c_55,c_54,c_56,c_53,c_3980,c_4098,c_6191]) ).
cnf(c_6792,plain,
( k3_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(resolution_lifted,[status(thm)],[c_569,c_5875]) ).
cnf(c_6793,plain,
m1_subset_1(k3_tsp_2(sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3)))),
inference(unflattening,[status(thm)],[c_6792]) ).
cnf(c_6797,plain,
( k1_tsp_2(sK2,sK3) != X0
| u1_struct_0(sK2) != X1
| u1_struct_0(sK3) != X2
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(resolution_lifted,[status(thm)],[c_569,c_5880]) ).
cnf(c_6798,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_6797]) ).
cnf(c_7330,plain,
( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3)
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(resolution_lifted,[status(thm)],[c_5880,c_4939]) ).
cnf(c_7332,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k9_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(global_subsumption_just,[status(thm)],[c_7330,c_55,c_54,c_56,c_53,c_3980,c_4098,c_7330]) ).
cnf(c_7350,plain,
( k3_tsp_2(sK2,sK3) != k1_tsp_2(sK2,sK3)
| u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(resolution_lifted,[status(thm)],[c_5880,c_4915]) ).
cnf(c_7352,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,k3_tsp_2(sK2,sK3),X2) = k10_relat_1(k3_tsp_2(sK2,sK3),X2) ),
inference(global_subsumption_just,[status(thm)],[c_7350,c_55,c_54,c_56,c_53,c_3980,c_4098,c_7350]) ).
cnf(c_7418,plain,
( u1_struct_0(X0) != u1_struct_0(sK3)
| u1_struct_0(X1) != u1_struct_0(sK2)
| X0 != sK3
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_6193]) ).
cnf(c_7419,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| u1_struct_0(sK3) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK3)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_7418]) ).
cnf(c_7502,plain,
( X0 != sK3
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(resolution_lifted,[status(thm)],[c_53,c_243]) ).
cnf(c_7503,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| ~ l1_struct_0(sK3)
| k1_struct_0(sK3,X0) = k1_tarski(X0) ),
inference(unflattening,[status(thm)],[c_7502]) ).
cnf(c_7690,plain,
( X0 != sK2
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(resolution_lifted,[status(thm)],[c_56,c_243]) ).
cnf(c_7691,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ l1_struct_0(sK2)
| k1_struct_0(sK2,X0) = k1_tarski(X0) ),
inference(unflattening,[status(thm)],[c_7690]) ).
cnf(c_7702,plain,
( X0 != sK2
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(k4_tex_4(X0,X1))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_152]) ).
cnf(c_7703,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2) ),
inference(unflattening,[status(thm)],[c_7702]) ).
cnf(c_7714,plain,
( X0 != sK2
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| m1_subset_1(k4_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution_lifted,[status(thm)],[c_56,c_151]) ).
cnf(c_7715,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_7714]) ).
cnf(c_7787,plain,
( X0 != sK2
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_56,c_175]) ).
cnf(c_7788,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ l1_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_7787]) ).
cnf(c_7789,plain,
~ v1_xboole_0(u1_struct_0(sK2)),
inference(global_subsumption_just,[status(thm)],[c_7788,c_54,c_56,c_281,c_354]) ).
cnf(c_9005,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK3)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) ),
inference(equality_resolution_simp,[status(thm)],[c_7419]) ).
cnf(c_9998,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_6798,c_4099]) ).
cnf(c_10226,plain,
( ~ r2_hidden(X0,k1_relat_1(k3_tsp_2(sK2,sK3)))
| ~ v1_relat_1(k3_tsp_2(sK2,sK3))
| k1_tarski(k1_funct_1(k3_tsp_2(sK2,sK3),X0)) = k9_relat_1(k3_tsp_2(sK2,sK3),k1_tarski(X0)) ),
inference(light_normalisation,[status(thm)],[c_5320,c_4099]) ).
cnf(c_10899,plain,
( ~ m1_subset_1(X0,u1_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) ),
inference(prop_impl_just,[status(thm)],[c_3996]) ).
cnf(c_10901,plain,
( ~ m1_subset_1(X0,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) ),
inference(prop_impl_just,[status(thm)],[c_55,c_54,c_56,c_53,c_281,c_354,c_3980,c_4105,c_4315,c_5158]) ).
cnf(c_10903,plain,
( ~ m1_subset_1(X0,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)) ),
inference(prop_impl_just,[status(thm)],[c_55,c_54,c_56,c_53,c_281,c_354,c_3980,c_4105,c_4315,c_5170]) ).
cnf(c_10907,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| k1_struct_0(sK2,X0) = k1_tarski(X0) ),
inference(prop_impl_just,[status(thm)],[c_54,c_281,c_7691]) ).
cnf(c_10909,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ v1_xboole_0(k4_tex_4(sK2,X0)) ),
inference(prop_impl_just,[status(thm)],[c_55,c_54,c_7703]) ).
cnf(c_10911,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK2))
| m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(prop_impl_just,[status(thm)],[c_55,c_54,c_7715]) ).
cnf(c_10925,plain,
( ~ v1_relat_1(k3_tsp_2(sK2,sK3))
| r1_tarski(k9_relat_1(k3_tsp_2(sK2,sK3),k10_relat_1(k3_tsp_2(sK2,sK3),X0)),X0) ),
inference(prop_impl_just,[status(thm)],[c_5290]) ).
cnf(c_12555,plain,
u1_struct_0(sK2) = sP4_iProver_def,
definition ).
cnf(c_12556,plain,
k3_tsp_2(sK2,sK3) = sP5_iProver_def,
definition ).
cnf(c_12557,plain,
k1_struct_0(sK2,sK4) = sP6_iProver_def,
definition ).
cnf(c_12558,plain,
k4_pre_topc(sK2,sK3,sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_12559,plain,
k4_tex_4(sK2,sK4) = sP8_iProver_def,
definition ).
cnf(c_12560,plain,
k4_pre_topc(sK2,sK3,sP5_iProver_def,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_12562,negated_conjecture,
l1_pre_topc(sK2),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_12563,negated_conjecture,
m1_subset_1(sK4,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_12555]) ).
cnf(c_12564,negated_conjecture,
sP7_iProver_def != sP9_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_12559,c_12560,c_12557,c_12556,c_12558]) ).
cnf(c_14717,plain,
~ v1_xboole_0(sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_7789,c_12555]) ).
cnf(c_14722,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_12562,c_155]) ).
cnf(c_14724,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_4178,c_155]) ).
cnf(c_14726,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK3))
| k1_struct_0(sK3,X0) = k1_tarski(X0) ),
inference(global_subsumption_just,[status(thm)],[c_7503,c_7503,c_14724]) ).
cnf(c_14741,plain,
m1_subset_1(sP5_iProver_def,k1_zfmisc_1(k2_zfmisc_1(sP4_iProver_def,u1_struct_0(sK3)))),
inference(light_normalisation,[status(thm)],[c_9998,c_12555,c_12556]) ).
cnf(c_14787,plain,
( ~ l1_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK2)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9005,c_9005,c_14724]) ).
cnf(c_14788,plain,
( u1_struct_0(X0) != u1_struct_0(sK2)
| ~ l1_struct_0(X0)
| k1_relat_1(k3_tsp_2(sK2,sK3)) = k2_pre_topc(X0) ),
inference(renaming,[status(thm)],[c_14787]) ).
cnf(c_14790,plain,
( u1_struct_0(X0) != sP4_iProver_def
| ~ l1_struct_0(X0)
| k2_pre_topc(X0) = k1_relat_1(sP5_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_14788,c_12555,c_12556]) ).
cnf(c_14797,plain,
( ~ l1_struct_0(sK2)
| k2_pre_topc(sK2) = k1_relat_1(sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_12555,c_14790]) ).
cnf(c_14798,plain,
k2_pre_topc(sK2) = k1_relat_1(sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_14797,c_14722]) ).
cnf(c_14816,plain,
( ~ r2_hidden(X0,k2_pre_topc(sK2))
| ~ v1_relat_1(sP5_iProver_def)
| k1_tarski(k1_funct_1(sP5_iProver_def,X0)) = k9_relat_1(sP5_iProver_def,k1_tarski(X0)) ),
inference(light_normalisation,[status(thm)],[c_10226,c_12556,c_14798]) ).
cnf(c_14981,plain,
v1_relat_1(sP5_iProver_def),
inference(superposition,[status(thm)],[c_14741,c_98]) ).
cnf(c_14987,plain,
( ~ r2_hidden(X0,k2_pre_topc(sK2))
| k1_tarski(k1_funct_1(sP5_iProver_def,X0)) = k9_relat_1(sP5_iProver_def,k1_tarski(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14816,c_14981]) ).
cnf(c_15023,plain,
( u1_struct_0(X0) != sP4_iProver_def
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k4_pre_topc(X0,X1,sP5_iProver_def,X2) = k9_relat_1(sP5_iProver_def,X2) ),
inference(light_normalisation,[status(thm)],[c_7332,c_12555,c_12556]) ).
cnf(c_15034,plain,
( u1_struct_0(X0) != sP4_iProver_def
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK3)
| k4_pre_topc(X0,sK3,sP5_iProver_def,X1) = k9_relat_1(sP5_iProver_def,X1) ),
inference(equality_resolution,[status(thm)],[c_15023]) ).
cnf(c_15035,plain,
( u1_struct_0(X0) != sP4_iProver_def
| ~ l1_struct_0(X0)
| k4_pre_topc(X0,sK3,sP5_iProver_def,X1) = k9_relat_1(sP5_iProver_def,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15034,c_14724]) ).
cnf(c_15046,plain,
( ~ l1_struct_0(sK2)
| k4_pre_topc(sK2,sK3,sP5_iProver_def,X0) = k9_relat_1(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_12555,c_15035]) ).
cnf(c_15047,plain,
k4_pre_topc(sK2,sK3,sP5_iProver_def,X0) = k9_relat_1(sP5_iProver_def,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15046,c_14722]) ).
cnf(c_15050,plain,
k9_relat_1(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def,
inference(demodulation,[status(thm)],[c_12558,c_15047]) ).
cnf(c_15051,plain,
k9_relat_1(sP5_iProver_def,sP8_iProver_def) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_12560,c_15047]) ).
cnf(c_15061,plain,
u1_struct_0(sK2) = k2_pre_topc(sK2),
inference(superposition,[status(thm)],[c_14722,c_255]) ).
cnf(c_15066,plain,
k2_pre_topc(sK2) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_15061,c_12555]) ).
cnf(c_15079,plain,
k1_relat_1(sP5_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_14798,c_15066]) ).
cnf(c_15105,plain,
( r2_hidden(sK4,sP4_iProver_def)
| v1_xboole_0(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_12563,c_260]) ).
cnf(c_15116,plain,
r2_hidden(sK4,sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_15105,c_14717]) ).
cnf(c_15198,plain,
( ~ v1_xboole_0(k4_tex_4(sK2,X0))
| ~ m1_subset_1(X0,sP4_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_10909,c_12555]) ).
cnf(c_15203,plain,
( ~ m1_subset_1(sK4,sP4_iProver_def)
| ~ v1_xboole_0(sP8_iProver_def) ),
inference(superposition,[status(thm)],[c_12559,c_15198]) ).
cnf(c_15204,plain,
~ v1_xboole_0(sP8_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_15203,c_12563]) ).
cnf(c_15290,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| k1_struct_0(sK2,X0) = k1_tarski(X0) ),
inference(light_normalisation,[status(thm)],[c_10907,c_12555]) ).
cnf(c_15296,plain,
k1_struct_0(sK2,sK4) = k1_tarski(sK4),
inference(superposition,[status(thm)],[c_12563,c_15290]) ).
cnf(c_15297,plain,
k1_tarski(sK4) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_15296,c_12557]) ).
cnf(c_15298,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| m1_subset_1(k4_tex_4(sK2,X0),k1_zfmisc_1(sP4_iProver_def)) ),
inference(light_normalisation,[status(thm)],[c_10911,c_12555]) ).
cnf(c_15303,plain,
( ~ m1_subset_1(sK4,sP4_iProver_def)
| m1_subset_1(sP8_iProver_def,k1_zfmisc_1(sP4_iProver_def)) ),
inference(superposition,[status(thm)],[c_12559,c_15298]) ).
cnf(c_15306,plain,
m1_subset_1(sP8_iProver_def,k1_zfmisc_1(sP4_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_15303,c_12563]) ).
cnf(c_15331,plain,
r1_tarski(sP8_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_15306,c_265]) ).
cnf(c_15445,plain,
( u1_struct_0(X0) != sP4_iProver_def
| u1_struct_0(X1) != u1_struct_0(sK3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| k5_pre_topc(X0,X1,sP5_iProver_def,X2) = k10_relat_1(sP5_iProver_def,X2) ),
inference(light_normalisation,[status(thm)],[c_7352,c_12555,c_12556]) ).
cnf(c_15456,plain,
( u1_struct_0(X0) != sP4_iProver_def
| ~ l1_struct_0(X0)
| ~ l1_struct_0(sK3)
| k5_pre_topc(X0,sK3,sP5_iProver_def,X1) = k10_relat_1(sP5_iProver_def,X1) ),
inference(equality_resolution,[status(thm)],[c_15445]) ).
cnf(c_15457,plain,
( u1_struct_0(X0) != sP4_iProver_def
| ~ l1_struct_0(X0)
| k5_pre_topc(X0,sK3,sP5_iProver_def,X1) = k10_relat_1(sP5_iProver_def,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15456,c_14724]) ).
cnf(c_15469,plain,
( ~ l1_struct_0(sK2)
| k5_pre_topc(sK2,sK3,sP5_iProver_def,X0) = k10_relat_1(sP5_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_12555,c_15457]) ).
cnf(c_15470,plain,
k5_pre_topc(sK2,sK3,sP5_iProver_def,X0) = k10_relat_1(sP5_iProver_def,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_15469,c_14722]) ).
cnf(c_15505,plain,
( ~ m1_subset_1(k3_tsp_2(sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK3))))
| v1_relat_1(k3_tsp_2(sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_15556,plain,
r1_tarski(k9_relat_1(k3_tsp_2(sK2,sK3),k10_relat_1(k3_tsp_2(sK2,sK3),X0)),X0),
inference(global_subsumption_just,[status(thm)],[c_10925,c_5290,c_6793,c_15505]) ).
cnf(c_15559,plain,
r1_tarski(k9_relat_1(sP5_iProver_def,k10_relat_1(sP5_iProver_def,X0)),X0),
inference(light_normalisation,[status(thm)],[c_15556,c_12556]) ).
cnf(c_15626,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| m1_subset_1(k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,X0),u1_struct_0(sK3)) ),
inference(light_normalisation,[status(thm)],[c_10903,c_12555,c_12556]) ).
cnf(c_15664,plain,
( k1_xboole_0 != sP9_iProver_def
| ~ r1_tarski(sP8_iProver_def,k1_relat_1(sP5_iProver_def))
| ~ v1_relat_1(sP5_iProver_def)
| k1_xboole_0 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_15051,c_257]) ).
cnf(c_15665,plain,
( k1_xboole_0 != sP9_iProver_def
| ~ r1_tarski(sP8_iProver_def,sP4_iProver_def)
| ~ v1_relat_1(sP5_iProver_def)
| k1_xboole_0 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15664,c_15079]) ).
cnf(c_15666,plain,
( k1_xboole_0 != sP9_iProver_def
| k1_xboole_0 = sP8_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_15665,c_14981,c_15331]) ).
cnf(c_15681,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,X0) = k1_funct_1(sP5_iProver_def,X0) ),
inference(light_normalisation,[status(thm)],[c_10901,c_12555,c_12556]) ).
cnf(c_15687,plain,
k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,sK4) = k1_funct_1(sP5_iProver_def,sK4),
inference(superposition,[status(thm)],[c_12563,c_15681]) ).
cnf(c_15688,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| k5_pre_topc(sK2,sK3,sP5_iProver_def,k1_struct_0(sK3,k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,X0))) = k4_tex_4(sK2,X0) ),
inference(light_normalisation,[status(thm)],[c_10899,c_12555,c_12556]) ).
cnf(c_15689,plain,
( ~ m1_subset_1(X0,sP4_iProver_def)
| k10_relat_1(sP5_iProver_def,k1_struct_0(sK3,k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,X0))) = k4_tex_4(sK2,X0) ),
inference(demodulation,[status(thm)],[c_15688,c_15470]) ).
cnf(c_15695,plain,
k10_relat_1(sP5_iProver_def,k1_struct_0(sK3,k8_funct_2(sP4_iProver_def,u1_struct_0(sK3),sP5_iProver_def,sK4))) = k4_tex_4(sK2,sK4),
inference(superposition,[status(thm)],[c_12563,c_15689]) ).
cnf(c_15696,plain,
k10_relat_1(sP5_iProver_def,k1_struct_0(sK3,k1_funct_1(sP5_iProver_def,sK4))) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_15695,c_12559,c_15687]) ).
cnf(c_15748,plain,
( ~ m1_subset_1(sK4,sP4_iProver_def)
| m1_subset_1(k1_funct_1(sP5_iProver_def,sK4),u1_struct_0(sK3)) ),
inference(superposition,[status(thm)],[c_15687,c_15626]) ).
cnf(c_15749,plain,
m1_subset_1(k1_funct_1(sP5_iProver_def,sK4),u1_struct_0(sK3)),
inference(forward_subsumption_resolution,[status(thm)],[c_15748,c_12563]) ).
cnf(c_15753,plain,
k1_struct_0(sK3,k1_funct_1(sP5_iProver_def,sK4)) = k1_tarski(k1_funct_1(sP5_iProver_def,sK4)),
inference(superposition,[status(thm)],[c_15749,c_14726]) ).
cnf(c_15764,plain,
k10_relat_1(sP5_iProver_def,k1_tarski(k1_funct_1(sP5_iProver_def,sK4))) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_15696,c_15753]) ).
cnf(c_15765,plain,
r1_tarski(k9_relat_1(sP5_iProver_def,sP8_iProver_def),k1_tarski(k1_funct_1(sP5_iProver_def,sK4))),
inference(superposition,[status(thm)],[c_15764,c_15559]) ).
cnf(c_15768,plain,
r1_tarski(sP9_iProver_def,k1_tarski(k1_funct_1(sP5_iProver_def,sK4))),
inference(light_normalisation,[status(thm)],[c_15765,c_15051]) ).
cnf(c_15897,plain,
( k1_tarski(k1_funct_1(sP5_iProver_def,sK4)) = sP9_iProver_def
| k1_xboole_0 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_15768,c_263]) ).
cnf(c_16126,plain,
( ~ r2_hidden(X0,sP4_iProver_def)
| k1_tarski(k1_funct_1(sP5_iProver_def,X0)) = k9_relat_1(sP5_iProver_def,k1_tarski(X0)) ),
inference(light_normalisation,[status(thm)],[c_14987,c_15066]) ).
cnf(c_16132,plain,
k1_tarski(k1_funct_1(sP5_iProver_def,sK4)) = k9_relat_1(sP5_iProver_def,k1_tarski(sK4)),
inference(superposition,[status(thm)],[c_15116,c_16126]) ).
cnf(c_16133,plain,
k1_tarski(k1_funct_1(sP5_iProver_def,sK4)) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_16132,c_15050,c_15297]) ).
cnf(c_16135,plain,
( k1_xboole_0 = sP9_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_15897,c_16133]) ).
cnf(c_16143,plain,
k1_xboole_0 = sP9_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_16135,c_12564]) ).
cnf(c_16144,plain,
k1_xboole_0 = sP8_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_15666,c_16143]) ).
cnf(c_16157,plain,
v1_xboole_0(sP9_iProver_def),
inference(demodulation,[status(thm)],[c_186,c_16143]) ).
cnf(c_16181,plain,
sP8_iProver_def = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_16143,c_16144]) ).
cnf(c_16191,plain,
v1_xboole_0(sP8_iProver_def),
inference(light_normalisation,[status(thm)],[c_16157,c_16181]) ).
cnf(c_16192,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16191,c_15204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP036+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 21:32:35 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.82/1.14 % SZS status Started for theBenchmark.p
% 3.82/1.14 % SZS status Theorem for theBenchmark.p
% 3.82/1.14
% 3.82/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/1.14
% 3.82/1.14 ------ iProver source info
% 3.82/1.14
% 3.82/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.82/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/1.14 git: non_committed_changes: false
% 3.82/1.14
% 3.82/1.14 ------ Parsing...
% 3.82/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.82/1.14
% 3.82/1.14 ------ 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
% 3.82/1.14
% 3.82/1.14 ------ Preprocessing... gs_s sp: 7 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.82/1.14
% 3.82/1.14 ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/1.14 ------ Proving...
% 3.82/1.14 ------ Problem Properties
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14 clauses 119
% 3.82/1.14 conjectures 4
% 3.82/1.14 EPR 24
% 3.82/1.14 Horn 111
% 3.82/1.14 unary 44
% 3.82/1.14 binary 34
% 3.82/1.14 lits 248
% 3.82/1.14 lits eq 49
% 3.82/1.14 fd_pure 0
% 3.82/1.14 fd_pseudo 0
% 3.82/1.14 fd_cond 2
% 3.82/1.14 fd_pseudo_cond 2
% 3.82/1.14 AC symbols 0
% 3.82/1.14
% 3.82/1.14 ------ Schedule dynamic 5 is on
% 3.82/1.14
% 3.82/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14 ------
% 3.82/1.14 Current options:
% 3.82/1.14 ------
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14 ------ Proving...
% 3.82/1.14
% 3.82/1.14
% 3.82/1.14 % SZS status Theorem for theBenchmark.p
% 3.82/1.14
% 3.82/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.14
% 3.82/1.14
%------------------------------------------------------------------------------