%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Tue Sep 29 02:34:00 PM UTC 2026
% Result : Theorem 4.45s 1.39s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of formulae : 196 ( 28 unt; 6 def)
% Number of atoms : 742 ( 90 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 926 ( 380 ~; 422 |; 86 &)
% ( 10 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 7 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-4 aty)
% Number of variables : 208 ( 0 sgn 202 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_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(f59,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f62,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f67,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(f68,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(f77,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f80,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f93,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f94,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(f96,axiom,
! [X0,X1,X2,X3] :
( ( l1_struct_0(X0)
& l1_struct_0(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(f97,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(f98,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(f100,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r1_tarski(X0,k2_relat_1(X1))
=> k9_relat_1(X1,k10_relat_1(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f101,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f103,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tsp_2) ).
fof(f105,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(f106,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_funct_2) ).
fof(f114,plain,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f115,plain,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0) ),
inference(pure_predicate_removal,[],[f80]) ).
fof(f116,plain,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0) ),
inference(pure_predicate_removal,[],[f115]) ).
fof(f117,plain,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0) ),
inference(pure_predicate_removal,[],[f116]) ).
fof(f118,plain,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0) ),
inference(pure_predicate_removal,[],[f117]) ).
fof(f119,plain,
v1_xboole_0(k1_xboole_0),
inference(pure_predicate_removal,[],[f118]) ).
fof(f120,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) != k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f121,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) != k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2)) = k3_tex_4(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f123]) ).
fof(f127,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f128,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f94]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f129]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f143]) ).
fof(f153,plain,
! [X0,X1,X2] :
( k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2)
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f154,plain,
! [X0,X1,X2] :
( k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2)
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,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,[],[f67]) ).
fof(f156,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f157,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1] :
( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f159,plain,
! [X0,X1] :
( k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ r1_tarski(X0,k2_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f160]) ).
fof(f166,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f167,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f174,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(f175,plain,
( k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2) != k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k3_tex_4(sK0,sK2))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK1)
& v2_tsp_2(sK1,sK0)
& m2_tsp_1(sK1,sK0)
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f121]) ).
fof(f177,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,[],[f139]) ).
fof(f183,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,[],[f97]) ).
fof(f189,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,[],[f105]) ).
fof(f190,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f191,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f192,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f193,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f194,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f175]) ).
fof(f195,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f175]) ).
fof(f196,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f175]) ).
fof(f197,plain,
k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2) != k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k3_tex_4(sK0,sK2)),
inference(cnf_transformation,[],[f175]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| k3_tex_4(X0,X2) = k5_pre_topc(X0,X1,k4_tsp_2(X0,X1),k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f201,plain,
! [X0,X1] :
( m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f202,plain,
! [X0,X1] :
( v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f203,plain,
! [X0,X1] :
( v1_funct_1(k4_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| k4_pre_topc(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f130]) ).
fof(f212,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f215,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| k5_pre_topc(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X0) = k2_relat_1(X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f235,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,[],[f155]) ).
fof(f236,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f237,plain,
! [X0,X1] :
( ~ r1_tarski(X0,k2_relat_1(X1))
| k9_relat_1(X1,k10_relat_1(X1,X0)) = X0
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f161]) ).
fof(f245,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f247,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f251,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f119]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f254,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f258,plain,
l1_struct_0(sK0),
inference(resolution,[],[f247,f190]) ).
fof(f267,plain,
( l1_pre_topc(sK1)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f215,f193]) ).
fof(f270,plain,
l1_pre_topc(sK1),
inference(forward_subsumption_resolution,[],[f267,f190]) ).
fof(f271,plain,
l1_struct_0(sK1),
inference(resolution,[],[f270,f247]) ).
fof(f277,plain,
r1_tarski(sK2,u1_struct_0(sK0)),
inference(resolution,[],[f254,f196]) ).
fof(f283,plain,
( m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f212,f193]) ).
fof(f286,plain,
m1_pre_topc(sK1,sK0),
inference(forward_subsumption_resolution,[],[f283,f190]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f235,f253]) ).
fof(f363,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0)
| u1_struct_0(X1) = k1_xboole_0
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),k4_tsp_2(X0,X1),u1_struct_0(X0)) = k2_relat_1(k4_tsp_2(X0,X1)) ),
inference(resolution,[],[f201,f230]) ).
fof(f365,plain,
! [X0,X1] :
( m1_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f201,f232]) ).
fof(f366,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0)
| u1_struct_0(X1) = k1_xboole_0
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),k4_tsp_2(X0,X1),u1_struct_0(X0)) = k2_relat_1(k4_tsp_2(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f363,f203]) ).
fof(f367,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X0)
| u1_struct_0(X1) = k1_xboole_0
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),k4_tsp_2(X0,X1),u1_struct_0(X0)) = k2_relat_1(k4_tsp_2(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f366,f202]) ).
fof(f396,plain,
! [X0] :
( k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),k4_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),sK2))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m2_tsp_1(X0,sK0)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f199,f196]) ).
fof(f405,plain,
! [X0] :
( k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),k4_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),sK2))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m2_tsp_1(X0,sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f396,f192]) ).
fof(f408,plain,
! [X0] :
( k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),k4_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),sK2))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| ~ m2_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f405,f191]) ).
fof(f409,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK0)
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK0)
| k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),k4_pre_topc(sK0,X0,k4_tsp_2(sK0,X0),sK2)) ),
inference(forward_subsumption_resolution,[],[f408,f190]) ).
fof(f410,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2)) ),
inference(resolution,[],[f409,f193]) ).
fof(f415,plain,
( ~ v2_tsp_2(sK1,sK0)
| k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2)) ),
inference(forward_subsumption_resolution,[],[f410,f195]) ).
fof(f442,plain,
k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2)),
inference(forward_subsumption_resolution,[],[f415,f194]) ).
fof(f449,definition,
( spl14_7
<=> m1_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).
fof(f450,plain,
( m1_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( ~ m1_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl14_7 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f453,definition,
( spl14_8
<=> v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_8])],[avatar_definition]) ).
fof(f454,plain,
( v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| spl14_8 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f457,definition,
( spl14_9
<=> v1_funct_1(k4_tsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f458,plain,
( v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| spl14_9 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f465,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl14_7 ),
inference(resolution,[],[f365,f451]) ).
fof(f473,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f465,f191]) ).
fof(f477,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f473,f190]) ).
fof(f480,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f477,f195]) ).
fof(f481,plain,
( ~ m1_pre_topc(sK1,sK0)
| v3_struct_0(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f480,f194]) ).
fof(f482,plain,
( v3_struct_0(sK0)
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f481,f286]) ).
fof(f483,plain,
( $false
| spl14_7 ),
inference(forward_subsumption_resolution,[],[f482,f192]) ).
fof(f484,plain,
spl14_7,
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f485,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k10_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(resolution,[],[f450,f222]) ).
fof(f486,plain,
( ! [X0] :
( ~ l1_struct_0(sK0)
| ~ l1_struct_0(sK1)
| ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(resolution,[],[f450,f205]) ).
fof(f487,plain,
( ! [X0] :
( ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(resolution,[],[f450,f238]) ).
fof(f488,plain,
( m2_relset_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl14_7 ),
inference(resolution,[],[f450,f233]) ).
fof(f502,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(resolution,[],[f455,f202]) ).
fof(f503,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f502,f192]) ).
fof(f504,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f503,f191]) ).
fof(f505,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f504,f190]) ).
fof(f506,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f505,f195]) ).
fof(f507,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f506,f194]) ).
fof(f508,plain,
( $false
| spl14_8 ),
inference(forward_subsumption_resolution,[],[f507,f286]) ).
fof(f509,plain,
spl14_8,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f510,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(resolution,[],[f459,f203]) ).
fof(f511,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f510,f192]) ).
fof(f512,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f511,f191]) ).
fof(f513,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f512,f190]) ).
fof(f514,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f513,f195]) ).
fof(f515,plain,
( ~ m1_pre_topc(sK1,sK0)
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f514,f194]) ).
fof(f516,plain,
( $false
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f515,f286]) ).
fof(f517,plain,
spl14_9,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f518,plain,
( ! [X0] :
( ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f487,f458]) ).
fof(f519,plain,
( ! [X0] :
( ~ l1_struct_0(sK1)
| ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f486,f258]) ).
fof(f520,plain,
( ! [X0] :
( ~ l1_struct_0(sK1)
| ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k10_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f485,f258]) ).
fof(f521,plain,
( ! [X0] : k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),X0)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f518,f454]) ).
fof(f522,plain,
( ! [X0] :
( ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f519,f271]) ).
fof(f523,plain,
( ! [X0] :
( ~ v1_funct_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k10_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7 ),
inference(forward_subsumption_resolution,[],[f520,f271]) ).
fof(f524,plain,
( ! [X0] :
( ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f522,f458]) ).
fof(f525,plain,
( ! [X0] :
( ~ v1_funct_2(k4_tsp_2(sK0,sK1),u1_struct_0(sK0),u1_struct_0(sK1))
| k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k10_relat_1(k4_tsp_2(sK0,sK1),X0) )
| ~ spl14_7
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f523,f458]) ).
fof(f526,plain,
( ! [X0] : k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),X0)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f524,f454]) ).
fof(f527,plain,
( ! [X0] : k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),X0) = k10_relat_1(k4_tsp_2(sK0,sK1),X0)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_subsumption_resolution,[],[f525,f454]) ).
fof(f535,definition,
( spl14_12
<=> v1_relat_1(k4_tsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl14_12])],[avatar_definition]) ).
fof(f536,plain,
( v1_relat_1(k4_tsp_2(sK0,sK1))
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f537,plain,
( ~ v1_relat_1(k4_tsp_2(sK0,sK1))
| spl14_12 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f551,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK0)
| k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(resolution,[],[f367,f286]) ).
fof(f555,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK0)
| k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f551,f191]) ).
fof(f556,plain,
( v3_struct_0(sK1)
| ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK0)
| k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f555,f190]) ).
fof(f557,plain,
( ~ v2_tsp_2(sK1,sK0)
| v3_struct_0(sK0)
| k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f556,f195]) ).
fof(f558,plain,
( v3_struct_0(sK0)
| k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f557,f194]) ).
fof(f559,plain,
( k1_xboole_0 = u1_struct_0(sK1)
| k2_relat_1(k4_tsp_2(sK0,sK1)) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f558,f192]) ).
fof(f560,plain,
( k2_relat_1(k4_tsp_2(sK0,sK1)) = k9_relat_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0))
| k1_xboole_0 = u1_struct_0(sK1)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_demodulation,[],[f559,f521]) ).
fof(f562,definition,
( spl14_14
<=> k1_xboole_0 = u1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl14_14])],[avatar_definition]) ).
fof(f564,plain,
( k1_xboole_0 = u1_struct_0(sK1)
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl14_15
<=> k2_relat_1(k4_tsp_2(sK0,sK1)) = k9_relat_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl14_15])],[avatar_definition]) ).
fof(f568,plain,
( k2_relat_1(k4_tsp_2(sK0,sK1)) = k9_relat_1(k4_tsp_2(sK0,sK1),u1_struct_0(sK0))
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( spl14_14
| spl14_15
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f560,f457,f453,f449,f566,f562]) ).
fof(f588,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl14_14 ),
inference(superposition,[],[f245,f564]) ).
fof(f605,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl14_14 ),
inference(forward_subsumption_resolution,[],[f588,f251]) ).
fof(f627,plain,
( ~ l1_struct_0(sK1)
| ~ spl14_14 ),
inference(forward_subsumption_resolution,[],[f605,f195]) ).
fof(f637,plain,
( $false
| ~ spl14_14 ),
inference(forward_subsumption_resolution,[],[f627,f271]) ).
fof(f638,plain,
~ spl14_14,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f688,plain,
( v1_relat_1(k4_tsp_2(sK0,sK1))
| ~ spl14_7 ),
inference(resolution,[],[f488,f304]) ).
fof(f690,plain,
( $false
| ~ spl14_7
| spl14_12 ),
inference(forward_subsumption_resolution,[],[f688,f537]) ).
fof(f691,plain,
( ~ spl14_7
| spl14_12 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f708,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(k4_tsp_2(sK0,sK1),X0),k2_relat_1(k4_tsp_2(sK0,sK1)))
| ~ r1_tarski(X0,u1_struct_0(sK0))
| ~ v1_relat_1(k4_tsp_2(sK0,sK1)) )
| ~ spl14_15 ),
inference(superposition,[],[f236,f568]) ).
fof(f711,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(k4_tsp_2(sK0,sK1),X0),k2_relat_1(k4_tsp_2(sK0,sK1)))
| ~ r1_tarski(X0,u1_struct_0(sK0)) )
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_subsumption_resolution,[],[f708,f536]) ).
fof(f803,plain,
( k4_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),sK2) != k9_relat_1(k4_tsp_2(sK0,sK1),k3_tex_4(sK0,sK2))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(superposition,[],[f197,f526]) ).
fof(f804,plain,
( k3_tex_4(sK0,sK2) = k5_pre_topc(sK0,sK1,k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),sK2))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(superposition,[],[f442,f526]) ).
fof(f809,plain,
( k3_tex_4(sK0,sK2) = k10_relat_1(k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),sK2))
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_demodulation,[],[f804,f527]) ).
fof(f810,plain,
( k9_relat_1(k4_tsp_2(sK0,sK1),k3_tex_4(sK0,sK2)) != k9_relat_1(k4_tsp_2(sK0,sK1),sK2)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9 ),
inference(forward_demodulation,[],[f803,f526]) ).
fof(f997,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK0))
| k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),k10_relat_1(k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),X0)))
| ~ v1_relat_1(k4_tsp_2(sK0,sK1))
| ~ v1_funct_1(k4_tsp_2(sK0,sK1)) )
| ~ spl14_12
| ~ spl14_15 ),
inference(resolution,[],[f711,f237]) ).
fof(f1000,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK0))
| k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),k10_relat_1(k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),X0)))
| ~ v1_funct_1(k4_tsp_2(sK0,sK1)) )
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_subsumption_resolution,[],[f997,f536]) ).
fof(f1001,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK0))
| k9_relat_1(k4_tsp_2(sK0,sK1),X0) = k9_relat_1(k4_tsp_2(sK0,sK1),k10_relat_1(k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),X0))) )
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_subsumption_resolution,[],[f1000,f458]) ).
fof(f1462,plain,
( k9_relat_1(k4_tsp_2(sK0,sK1),sK2) = k9_relat_1(k4_tsp_2(sK0,sK1),k10_relat_1(k4_tsp_2(sK0,sK1),k9_relat_1(k4_tsp_2(sK0,sK1),sK2)))
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(resolution,[],[f1001,f277]) ).
fof(f1469,plain,
( k9_relat_1(k4_tsp_2(sK0,sK1),k3_tex_4(sK0,sK2)) = k9_relat_1(k4_tsp_2(sK0,sK1),sK2)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_demodulation,[],[f1462,f809]) ).
fof(f1481,plain,
( $false
| ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(forward_subsumption_resolution,[],[f1469,f810]) ).
fof(f1482,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
cnf(s4,plain,
spl14_7,
inference(sat_conversion,[],[f484]) ).
cnf(s5,plain,
spl14_8,
inference(sat_conversion,[],[f509]) ).
cnf(s6,plain,
spl14_9,
inference(sat_conversion,[],[f517]) ).
cnf(s9,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_14
| spl14_15 ),
inference(sat_conversion,[],[f569]) ).
cnf(s10,plain,
~ spl14_14,
inference(sat_conversion,[],[f638]) ).
cnf(s11,plain,
( ~ spl14_7
| spl14_12 ),
inference(sat_conversion,[],[f691]) ).
cnf(s20,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| ~ spl14_12
| ~ spl14_15 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s22,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_9
| spl14_15 ),
inference(rat,[],[s9,s10]) ).
cnf(s24,plain,
spl14_12,
inference(rat,[],[s11,s4]) ).
cnf(s25,plain,
spl14_15,
inference(rat,[],[s22,s5,s6,s4]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s20,s4,s5,s6,s25,s24]) ).
fof(f1486,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 18:59:20 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.45/1.39 % (1446464)Detected formulas, will run a generic FOF schedule.
% 4.45/1.39 % (1446471)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=136905289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.45/1.39 % (1446469)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3756574305:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.45/1.39 % (1446473)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1563351781:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.45/1.39 % (1446474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1379455189:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.45/1.39 % (1446470)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1197303625:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.45/1.39 % (1446475)dis-21_1_sil=8000:lcm=predicate:random_seed=2850495916:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.45/1.39 % (1446472)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=335944826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.45/1.39 % (1446472)Refutation not found, incomplete strategy
% 4.45/1.39 % (1446472)------------------------------
% 4.45/1.39 % (1446472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446472)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446472)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.39 % (1446472)Time elapsed: 0.003 s
% 4.45/1.39 % (1446472)Peak memory usage: 88 MB
% 4.45/1.39 % (1446472)Instructions burned: 2 (million)
% 4.45/1.39 % (1446473)Refutation not found, incomplete strategy
% 4.45/1.39 % (1446473)------------------------------
% 4.45/1.39 % (1446473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446473)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446473)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.39 % (1446473)Time elapsed: 0.003 s
% 4.45/1.39 % (1446473)Peak memory usage: 88 MB
% 4.45/1.39 % (1446473)Instructions burned: 3 (million)
% 4.45/1.39 % (1446475)Instruction limit reached!
% 4.45/1.39 % (1446475)------------------------------
% 4.45/1.39 % (1446475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446475)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446475)Termination reason: Instruction limit
% 4.45/1.39 % (1446475)Termination phase: Saturation
% 4.45/1.39 % (1446475)Time elapsed: 0.075 s
% 4.45/1.39 % (1446475)Peak memory usage: 90 MB
% 4.45/1.39 % (1446475)Instructions burned: 130 (million)
% 4.45/1.39 % (1446474)Instruction limit reached!
% 4.45/1.39 % (1446474)------------------------------
% 4.45/1.39 % (1446474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446474)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446474)Termination reason: Instruction limit
% 4.45/1.39 % (1446474)Termination phase: Saturation
% 4.45/1.39 % (1446474)Time elapsed: 0.099 s
% 4.45/1.39 % (1446474)Peak memory usage: 90 MB
% 4.45/1.39 % (1446474)Instructions burned: 139 (million)
% 4.45/1.39 % (1446483)lrs+10_1_sil=8000:sp=occurrence:random_seed=1746175190:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.45/1.39 % (1446472)------------------------------
% 4.45/1.39 % (1446472)------------------------------
% 4.45/1.39 % (1446473)------------------------------
% 4.45/1.39 % (1446473)------------------------------
% 4.45/1.39 % (1446484)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3309736922:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.45/1.39 % (1446483)First to succeed.
% 4.45/1.39 % (1446483)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1446464"
% 4.45/1.39 % (1446484)Instruction limit reached!
% 4.45/1.39 % (1446484)------------------------------
% 4.45/1.39 % (1446484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446484)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446484)Termination reason: Instruction limit
% 4.45/1.39 % (1446484)Termination phase: Saturation
% 4.45/1.39 % (1446484)Time elapsed: 0.082 s
% 4.45/1.39 % (1446484)Peak memory usage: 89 MB
% 4.45/1.39 % (1446484)Instructions burned: 158 (million)
% 4.45/1.39 % (1446487)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=916578024:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.45/1.39 % (1446486)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2406020581:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.45/1.39 % (1446487)Instruction limit reached!
% 4.45/1.39 % (1446487)------------------------------
% 4.45/1.39 % (1446487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446487)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446487)Termination reason: Instruction limit
% 4.45/1.39 % (1446487)Termination phase: Saturation
% 4.45/1.39 % (1446487)Time elapsed: 0.077 s
% 4.45/1.39 % (1446487)Peak memory usage: 94 MB
% 4.45/1.39 % (1446487)Instructions burned: 255 (million)
% 4.45/1.39 % (1446489)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=64902675:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.45/1.39 % (1446489)Refutation not found, incomplete strategy
% 4.45/1.39 % (1446489)------------------------------
% 4.45/1.39 % (1446489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.39 % (1446489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.39 % (1446489)CaDiCaL version: 2.1.3
% 4.45/1.39 % (1446489)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.39 % (1446489)Time elapsed: 0.006 s
% 4.45/1.39 % (1446489)Peak memory usage: 89 MB
% 4.45/1.39 % (1446489)Instructions burned: 8 (million)
% 4.45/1.39 % (1446483)Refutation found. Thanks to Tanya!
% 4.45/1.39 % SZS status Theorem for theBenchmark
% 4.45/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.59 % (1446483)------------------------------
% 5.72/1.59 % (1446483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.59 % (1446483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.59 % (1446483)CaDiCaL version: 2.1.3
% 5.72/1.59 % (1446483)Termination reason: Refutation
% 5.72/1.59 % (1446483)Time elapsed: 0.043 s
% 5.72/1.59 % (1446483)Peak memory usage: 90 MB
% 5.72/1.59 % (1446483)Instructions burned: 65 (million)
% 5.72/1.59 % (1446483)------------------------------
% 5.72/1.59 % (1446483)------------------------------
% 5.72/1.59 % (1446464)Success in time 0.731 s
% 5.72/1.59 % Vampire exiting
%------------------------------------------------------------------------------