%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP023+2 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:52 PM UTC 2026
% Result : Theorem 12.38s 2.60s
% Output : Refutation 13.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 139 ( 36 unt; 6 def)
% Number of atoms : 474 ( 82 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 580 ( 245 ~; 249 |; 53 &)
% ( 9 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 104 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2183,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2256,axiom,
! [X0] :
( l1_pre_topc(X0)
=> m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(f2258,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2,X3] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f3540,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_1(X2,X0) )
=> v1_tsp_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f3580,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f3581,conjecture,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f3582,negated_conjecture,
~ ! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3581]) ).
fof(f3622,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3580]) ).
fof(f3623,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3622]) ).
fof(f3624,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3582]) ).
fof(f3625,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(flattening,[],[f3624]) ).
fof(f3719,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3540]) ).
fof(f3720,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3719]) ).
fof(f3795,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2256]) ).
fof(f3839,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f2258]) ).
fof(f4263,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f5112,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f5504,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3623]) ).
fof(f5505,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f5504]) ).
fof(f5506,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ? [X2] :
( X1 != X2
& v1_tsp_1(X2,X0)
& r1_tarski(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f5505]) ).
fof(f5507,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ( sK17(X0,X1) != X1
& v1_tsp_1(sK17(X0,X1),X0)
& r1_tarski(X1,sK17(X0,X1))
& m1_subset_1(sK17(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X2,sK17(X0,X1))],[f5506]) ).
fof(f5508,plain,
( ~ v1_tsp_2(sK21,sK19)
& g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18)) = g1_pre_topc(u1_struct_0(sK19),u1_pre_topc(sK19))
& sK20 = sK21
& v1_tsp_2(sK20,sK18)
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
& m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18)))
& l1_pre_topc(sK19)
& l1_pre_topc(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21)],[f3625]) ).
fof(f6205,plain,
! [X3,X0,X1] :
( ~ v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X3
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6206,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6207,plain,
! [X0,X1] :
( m1_subset_1(sK17(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6208,plain,
! [X0,X1] :
( r1_tarski(X1,sK17(X0,X1))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6209,plain,
! [X0,X1] :
( ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| v1_tsp_1(sK17(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6210,plain,
! [X0,X1] :
( sK17(X0,X1) != X1
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f5507]) ).
fof(f6211,plain,
l1_pre_topc(sK18),
inference(cnf_transformation,[],[f5508]) ).
fof(f6212,plain,
l1_pre_topc(sK19),
inference(cnf_transformation,[],[f5508]) ).
fof(f6213,plain,
m1_subset_1(sK20,k1_zfmisc_1(u1_struct_0(sK18))),
inference(cnf_transformation,[],[f5508]) ).
fof(f6214,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19))),
inference(cnf_transformation,[],[f5508]) ).
fof(f6215,plain,
v1_tsp_2(sK20,sK18),
inference(cnf_transformation,[],[f5508]) ).
fof(f6216,plain,
sK20 = sK21,
inference(cnf_transformation,[],[f5508]) ).
fof(f6217,plain,
g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18)) = g1_pre_topc(u1_struct_0(sK19),u1_pre_topc(sK19)),
inference(cnf_transformation,[],[f5508]) ).
fof(f6218,plain,
~ v1_tsp_2(sK21,sK19),
inference(cnf_transformation,[],[f5508]) ).
fof(f6370,plain,
! [X2,X3,X0,X1] :
( v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3720]) ).
fof(f6492,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3795]) ).
fof(f6533,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f3839]) ).
fof(f6534,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f3839]) ).
fof(f7208,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4263]) ).
fof(f8607,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f5112]) ).
fof(f9206,plain,
v1_tsp_2(sK21,sK18),
inference(definition_unfolding,[],[f6215,f6216]) ).
fof(f9207,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK18))),
inference(definition_unfolding,[],[f6213,f6216]) ).
fof(f9559,plain,
! [X3,X0,X1] :
( ~ v1_tsp_1(X3,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f6370]) ).
fof(f10026,plain,
( v1_tsp_1(sK21,sK18)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_pre_topc(sK18) ),
inference(resolution,[],[f6206,f9206]) ).
fof(f10027,plain,
( v1_tsp_1(sK21,sK18)
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10026,f9207]) ).
fof(f10028,plain,
v1_tsp_1(sK21,sK18),
inference(forward_subsumption_resolution,[],[f10027,f6211]) ).
fof(f10030,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK18)
| ~ r1_tarski(sK21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| sK21 = X0
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_pre_topc(sK18) ),
inference(resolution,[],[f6205,f9206]) ).
fof(f10031,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK18)
| ~ r1_tarski(sK21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| sK21 = X0
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10030,f9207]) ).
fof(f10032,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK18)
| ~ r1_tarski(sK21,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK18)))
| sK21 = X0 ),
inference(forward_subsumption_resolution,[],[f10031,f6211]) ).
fof(f10033,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| v1_tsp_1(sK21,X0)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK18) ),
inference(resolution,[],[f9559,f10028]) ).
fof(f10034,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| v1_tsp_1(sK21,X0)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK18) ),
inference(forward_subsumption_resolution,[],[f10033,f9207]) ).
fof(f10035,plain,
! [X0] :
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK21,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f10034,f6211]) ).
fof(f10036,plain,
( v1_tsp_1(sK21,sK19)
| g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18)) != g1_pre_topc(u1_struct_0(sK19),u1_pre_topc(sK19))
| ~ l1_pre_topc(sK19) ),
inference(resolution,[],[f10035,f6214]) ).
fof(f10039,plain,
( v1_tsp_1(sK21,sK19)
| ~ l1_pre_topc(sK19) ),
inference(forward_subsumption_resolution,[],[f10036,f6217]) ).
fof(f10040,plain,
v1_tsp_1(sK21,sK19),
inference(forward_subsumption_resolution,[],[f10039,f6212]) ).
fof(f10042,plain,
( v1_tsp_2(sK21,sK19)
| v1_tsp_1(sK17(sK19,sK21),sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19) ),
inference(resolution,[],[f10040,f6209]) ).
fof(f10043,plain,
( v1_tsp_1(sK17(sK19,sK21),sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19) ),
inference(forward_subsumption_resolution,[],[f10042,f6218]) ).
fof(f10045,plain,
( v1_tsp_1(sK17(sK19,sK21),sK19)
| ~ l1_pre_topc(sK19) ),
inference(forward_subsumption_resolution,[],[f10043,f6214]) ).
fof(f10047,plain,
v1_tsp_1(sK17(sK19,sK21),sK19),
inference(forward_subsumption_resolution,[],[f10045,f6212]) ).
fof(f10049,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK19),u1_pre_topc(sK19))
| v1_tsp_1(sK17(sK19,sK21),X0)
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(sK19) ),
inference(resolution,[],[f10047,f9559]) ).
fof(f10052,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK19),u1_pre_topc(sK19))
| v1_tsp_1(sK17(sK19,sK21),X0)
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f10049,f6212]) ).
fof(f10054,definition,
( spl410_7
<=> m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK19))) ),
introduced(definition,[new_symbols(definition,[spl410_7])],[avatar_definition]) ).
fof(f10055,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK19)))
| spl410_7 ),
inference(avatar_component_clause,[],[f10054]) ).
fof(f10063,plain,
! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| v1_tsp_1(sK17(sK19,sK21),X0)
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(X0) ),
inference(forward_demodulation,[],[f10052,f6217]) ).
fof(f10065,definition,
( spl410_10
<=> ! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK17(sK19,sK21),X0) ) ),
introduced(definition,[new_symbols(definition,[spl410_10])],[avatar_definition]) ).
fof(f10066,plain,
( ! [X0] :
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18))
| v1_tsp_1(sK17(sK19,sK21),X0) )
| ~ spl410_10 ),
inference(avatar_component_clause,[],[f10065]) ).
fof(f10067,plain,
( ~ spl410_7
| spl410_10 ),
inference(avatar_split_clause,[],[f10063,f10065,f10054]) ).
fof(f10069,plain,
( ~ v1_tsp_1(sK21,sK19)
| v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_7 ),
inference(resolution,[],[f10055,f6207]) ).
fof(f10071,plain,
( v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_7 ),
inference(forward_subsumption_resolution,[],[f10069,f10040]) ).
fof(f10072,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_7 ),
inference(forward_subsumption_resolution,[],[f10071,f6218]) ).
fof(f10073,plain,
( ~ l1_pre_topc(sK19)
| spl410_7 ),
inference(forward_subsumption_resolution,[],[f10072,f6214]) ).
fof(f10074,plain,
( $false
| spl410_7 ),
inference(forward_subsumption_resolution,[],[f10073,f6212]) ).
fof(f10075,plain,
spl410_7,
inference(avatar_contradiction_clause,[],[f10074]) ).
fof(f10153,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f8607,f7208]) ).
fof(f10154,plain,
u1_struct_0(sK18) = k2_pre_topc(sK18),
inference(resolution,[],[f10153,f6211]) ).
fof(f10155,plain,
u1_struct_0(sK19) = k2_pre_topc(sK19),
inference(resolution,[],[f10153,f6212]) ).
fof(f10158,plain,
g1_pre_topc(u1_struct_0(sK18),u1_pre_topc(sK18)) = g1_pre_topc(k2_pre_topc(sK19),u1_pre_topc(sK19)),
inference(superposition,[],[f6217,f10155]) ).
fof(f10159,plain,
m1_subset_1(sK21,k1_zfmisc_1(k2_pre_topc(sK19))),
inference(superposition,[],[f6214,f10155]) ).
fof(f10164,plain,
! [X0] :
( m1_subset_1(sK17(sK19,X0),k1_zfmisc_1(k2_pre_topc(sK19)))
| ~ v1_tsp_1(X0,sK19)
| v1_tsp_2(X0,sK19)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK19)))
| ~ l1_pre_topc(sK19) ),
inference(superposition,[],[f6207,f10155]) ).
fof(f10165,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_pre_topc(sK19)))
| ~ v1_tsp_1(X0,sK19)
| v1_tsp_2(X0,sK19)
| m1_subset_1(sK17(sK19,X0),k1_zfmisc_1(k2_pre_topc(sK19))) ),
inference(forward_subsumption_resolution,[],[f10164,f6212]) ).
fof(f10167,plain,
g1_pre_topc(k2_pre_topc(sK19),u1_pre_topc(sK19)) = g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18)),
inference(forward_demodulation,[],[f10158,f10154]) ).
fof(f10171,plain,
( m1_subset_1(u1_pre_topc(sK18),k1_zfmisc_1(k1_zfmisc_1(k2_pre_topc(sK18))))
| ~ l1_pre_topc(sK18) ),
inference(superposition,[],[f6492,f10154]) ).
fof(f10172,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18)))
| ~ l1_pre_topc(sK18)
| g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18)) != g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18))
| v1_tsp_1(sK17(sK19,sK21),sK18)
| ~ spl410_10 ),
inference(superposition,[],[f10066,f10154]) ).
fof(f10176,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18)))
| ~ l1_pre_topc(sK18)
| v1_tsp_1(sK17(sK19,sK21),sK18)
| ~ spl410_10 ),
inference(trivial_inequality_removal,[],[f10172]) ).
fof(f10179,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18)))
| v1_tsp_1(sK17(sK19,sK21),sK18)
| ~ spl410_10 ),
inference(forward_subsumption_resolution,[],[f10176,f6211]) ).
fof(f10180,plain,
m1_subset_1(u1_pre_topc(sK18),k1_zfmisc_1(k1_zfmisc_1(k2_pre_topc(sK18)))),
inference(forward_subsumption_resolution,[],[f10171,f6211]) ).
fof(f10183,definition,
( spl410_21
<=> v1_tsp_1(sK17(sK19,sK21),sK18) ),
introduced(definition,[new_symbols(definition,[spl410_21])],[avatar_definition]) ).
fof(f10184,plain,
( v1_tsp_1(sK17(sK19,sK21),sK18)
| ~ spl410_21 ),
inference(avatar_component_clause,[],[f10183]) ).
fof(f10186,definition,
( spl410_22
<=> m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18))) ),
introduced(definition,[new_symbols(definition,[spl410_22])],[avatar_definition]) ).
fof(f10187,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18)))
| spl410_22 ),
inference(avatar_component_clause,[],[f10186]) ).
fof(f10188,plain,
( spl410_21
| ~ spl410_22
| ~ spl410_10 ),
inference(avatar_split_clause,[],[f10179,f10065,f10186,f10183]) ).
fof(f10197,plain,
( ~ v1_tsp_1(sK21,sK19)
| v1_tsp_2(sK21,sK19)
| m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK19))) ),
inference(resolution,[],[f10165,f10159]) ).
fof(f10198,plain,
( v1_tsp_2(sK21,sK19)
| m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK19))) ),
inference(forward_subsumption_resolution,[],[f10197,f10040]) ).
fof(f10199,plain,
m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK19))),
inference(forward_subsumption_resolution,[],[f10198,f6218]) ).
fof(f10290,plain,
! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18))
| k2_pre_topc(sK18) = X0 ),
inference(resolution,[],[f10180,f6534]) ).
fof(f10291,plain,
! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18))
| u1_pre_topc(sK18) = X1 ),
inference(resolution,[],[f10180,f6533]) ).
fof(f10298,plain,
( g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18)) != g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18))
| u1_pre_topc(sK18) = u1_pre_topc(sK19) ),
inference(superposition,[],[f10291,f10167]) ).
fof(f10300,plain,
u1_pre_topc(sK18) = u1_pre_topc(sK19),
inference(trivial_inequality_removal,[],[f10298]) ).
fof(f10301,plain,
g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18)) = g1_pre_topc(k2_pre_topc(sK19),u1_pre_topc(sK18)),
inference(superposition,[],[f10167,f10300]) ).
fof(f10310,plain,
( g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18)) != g1_pre_topc(k2_pre_topc(sK18),u1_pre_topc(sK18))
| k2_pre_topc(sK18) = k2_pre_topc(sK19) ),
inference(superposition,[],[f10290,f10301]) ).
fof(f10312,plain,
k2_pre_topc(sK18) = k2_pre_topc(sK19),
inference(trivial_inequality_removal,[],[f10310]) ).
fof(f10337,plain,
m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18))),
inference(superposition,[],[f10199,f10312]) ).
fof(f10350,plain,
( $false
| spl410_22 ),
inference(forward_subsumption_resolution,[],[f10337,f10187]) ).
fof(f10351,plain,
spl410_22,
inference(avatar_contradiction_clause,[],[f10350]) ).
fof(f10353,plain,
( ~ r1_tarski(sK21,sK17(sK19,sK21))
| ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(u1_struct_0(sK18)))
| sK21 = sK17(sK19,sK21)
| ~ spl410_21 ),
inference(resolution,[],[f10184,f10032]) ).
fof(f10357,plain,
( ~ m1_subset_1(sK17(sK19,sK21),k1_zfmisc_1(k2_pre_topc(sK18)))
| ~ r1_tarski(sK21,sK17(sK19,sK21))
| sK21 = sK17(sK19,sK21)
| ~ spl410_21 ),
inference(forward_demodulation,[],[f10353,f10154]) ).
fof(f10360,plain,
( ~ r1_tarski(sK21,sK17(sK19,sK21))
| sK21 = sK17(sK19,sK21)
| ~ spl410_21 ),
inference(forward_subsumption_resolution,[],[f10357,f10337]) ).
fof(f10370,definition,
( spl410_30
<=> sK21 = sK17(sK19,sK21) ),
introduced(definition,[new_symbols(definition,[spl410_30])],[avatar_definition]) ).
fof(f10371,plain,
( sK21 = sK17(sK19,sK21)
| ~ spl410_30 ),
inference(avatar_component_clause,[],[f10370]) ).
fof(f10373,definition,
( spl410_31
<=> r1_tarski(sK21,sK17(sK19,sK21)) ),
introduced(definition,[new_symbols(definition,[spl410_31])],[avatar_definition]) ).
fof(f10374,plain,
( ~ r1_tarski(sK21,sK17(sK19,sK21))
| spl410_31 ),
inference(avatar_component_clause,[],[f10373]) ).
fof(f10375,plain,
( spl410_30
| ~ spl410_31
| ~ spl410_21 ),
inference(avatar_split_clause,[],[f10360,f10183,f10373,f10370]) ).
fof(f10381,plain,
( ~ v1_tsp_1(sK21,sK19)
| v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_31 ),
inference(resolution,[],[f10374,f6208]) ).
fof(f10383,plain,
( v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_31 ),
inference(forward_subsumption_resolution,[],[f10381,f10040]) ).
fof(f10384,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| spl410_31 ),
inference(forward_subsumption_resolution,[],[f10383,f6218]) ).
fof(f10385,plain,
( ~ l1_pre_topc(sK19)
| spl410_31 ),
inference(forward_subsumption_resolution,[],[f10384,f6214]) ).
fof(f10386,plain,
( $false
| spl410_31 ),
inference(forward_subsumption_resolution,[],[f10385,f6212]) ).
fof(f10387,plain,
spl410_31,
inference(avatar_contradiction_clause,[],[f10386]) ).
fof(f10410,plain,
( sK21 != sK21
| ~ v1_tsp_1(sK21,sK19)
| v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| ~ spl410_30 ),
inference(superposition,[],[f6210,f10371]) ).
fof(f10412,plain,
( ~ v1_tsp_1(sK21,sK19)
| v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| ~ spl410_30 ),
inference(trivial_inequality_removal,[],[f10410]) ).
fof(f10414,plain,
( v1_tsp_2(sK21,sK19)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| ~ spl410_30 ),
inference(forward_subsumption_resolution,[],[f10412,f10040]) ).
fof(f10425,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK19)))
| ~ l1_pre_topc(sK19)
| ~ spl410_30 ),
inference(forward_subsumption_resolution,[],[f10414,f6218]) ).
fof(f10429,plain,
( ~ l1_pre_topc(sK19)
| ~ spl410_30 ),
inference(forward_subsumption_resolution,[],[f10425,f6214]) ).
fof(f10430,plain,
( $false
| ~ spl410_30 ),
inference(forward_subsumption_resolution,[],[f10429,f6212]) ).
fof(f10431,plain,
~ spl410_30,
inference(avatar_contradiction_clause,[],[f10430]) ).
cnf(s5,plain,
( ~ spl410_7
| spl410_10 ),
inference(sat_conversion,[],[f10067]) ).
cnf(s7,plain,
spl410_7,
inference(sat_conversion,[],[f10075]) ).
cnf(s16,plain,
( ~ spl410_10
| spl410_21
| ~ spl410_22 ),
inference(sat_conversion,[],[f10188]) ).
cnf(s19,plain,
spl410_22,
inference(sat_conversion,[],[f10351]) ).
cnf(s21,plain,
( ~ spl410_21
| spl410_30
| ~ spl410_31 ),
inference(sat_conversion,[],[f10375]) ).
cnf(s24,plain,
spl410_31,
inference(sat_conversion,[],[f10387]) ).
cnf(s30,plain,
~ spl410_30,
inference(sat_conversion,[],[f10431]) ).
cnf(s31,plain,
~ spl410_21,
inference(rat,[],[s21,s24,s30]) ).
cnf(s32,plain,
~ spl410_10,
inference(rat,[],[s16,s19,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s5,s32,s7]) ).
fof(f10432,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP023+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 18:50:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 12.38/2.60 % (101244)Detected formulas, will run a generic FOF schedule.
% 12.38/2.60 % (101565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1991384957:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.38/2.60 % (101560)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=1769785284:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.38/2.60 % (101562)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=2057950314:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.38/2.60 % (101563)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2731538998:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.38/2.60 % (101561)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=748653289:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.38/2.60 % (101564)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=66160990:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.38/2.60 % (101566)dis-21_1_sil=8000:lcm=predicate:random_seed=367536447:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.38/2.60 % (101565)Instruction limit reached!
% 12.38/2.60 % (101565)------------------------------
% 12.38/2.60 % (101565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101565)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101565)Termination reason: Instruction limit
% 12.38/2.60 % (101565)Termination phase: Preprocessing 3
% 12.38/2.60 % (101565)Time elapsed: 0.052 s
% 12.38/2.60 % (101565)Peak memory usage: 94 MB
% 12.38/2.60 % (101565)Instructions burned: 140 (million)
% 12.38/2.60 % (101563)Refutation not found, incomplete strategy
% 12.38/2.60 % (101563)------------------------------
% 12.38/2.60 % (101563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101563)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101563)Termination reason: Refutation not found, incomplete strategy
% 12.38/2.60 % (101563)Time elapsed: 0.026 s
% 12.38/2.60 % (101563)Peak memory usage: 93 MB
% 12.38/2.60 % (101563)Instructions burned: 37 (million)
% 12.38/2.60 % (101564)Instruction limit reached!
% 12.38/2.60 % (101564)------------------------------
% 12.38/2.60 % (101564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101564)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101564)Termination reason: Instruction limit
% 12.38/2.60 % (101564)Termination phase: Saturation
% 12.38/2.60 % (101564)Time elapsed: 0.069 s
% 12.38/2.60 % (101564)Peak memory usage: 94 MB
% 12.38/2.60 % (101564)Instructions burned: 121 (million)
% 12.38/2.60 % (101566)Instruction limit reached!
% 12.38/2.60 % (101566)------------------------------
% 12.38/2.60 % (101566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101566)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101566)Termination reason: Instruction limit
% 12.38/2.60 % (101566)Termination phase: Property scanning
% 12.38/2.60 % (101566)Time elapsed: 0.059 s
% 12.38/2.60 % (101566)Peak memory usage: 95 MB
% 12.38/2.60 % (101566)Instructions burned: 134 (million)
% 12.38/2.60 % (101574)lrs+10_1_sil=8000:sp=occurrence:random_seed=1036586678:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.38/2.60 % (101576)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4163440521:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.38/2.60 % (101575)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4180402266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.38/2.60 % (101563)------------------------------
% 12.38/2.60 % (101563)------------------------------
% 12.38/2.60 % (101576)Instruction limit reached!
% 12.38/2.60 % (101576)------------------------------
% 12.38/2.60 % (101576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101576)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101576)Termination reason: Instruction limit
% 12.38/2.60 % (101576)Termination phase: Saturation
% 12.38/2.60 % (101576)Time elapsed: 0.094 s
% 12.38/2.60 % (101576)Peak memory usage: 94 MB
% 12.38/2.60 % (101576)Instructions burned: 326 (million)
% 12.38/2.60 % (101575)Instruction limit reached!
% 12.38/2.60 % (101575)------------------------------
% 12.38/2.60 % (101575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101575)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101575)Termination reason: Instruction limit
% 12.38/2.60 % (101575)Termination phase: Saturation
% 12.38/2.60 % (101575)Time elapsed: 0.088 s
% 12.38/2.60 % (101575)Peak memory usage: 93 MB
% 12.38/2.60 % (101575)Instructions burned: 158 (million)
% 12.38/2.60 % (101574)Instruction limit reached!
% 12.38/2.60 % (101574)------------------------------
% 12.38/2.60 % (101574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101574)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101574)Termination reason: Instruction limit
% 12.38/2.60 % (101574)Termination phase: Saturation
% 12.38/2.60 % (101574)Time elapsed: 0.179 s
% 12.38/2.60 % (101574)Peak memory usage: 97 MB
% 12.38/2.60 % (101574)Instructions burned: 286 (million)
% 12.38/2.60 % (101609)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1811383949:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.38/2.60 % (101602)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=3406482808:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 12.38/2.60 % (101619)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3367035640:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.38/2.60 % (101609)Instruction limit reached!
% 12.38/2.60 % (101609)------------------------------
% 12.38/2.60 % (101609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101609)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101609)Termination reason: Instruction limit
% 12.38/2.60 % (101609)Termination phase: Saturation
% 12.38/2.60 % (101609)Time elapsed: 0.090 s
% 12.38/2.60 % (101609)Peak memory usage: 97 MB
% 12.38/2.60 % (101609)Instructions burned: 295 (million)
% 12.38/2.60 % (101647)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2875926712:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.38/2.60 % (101602)Instruction limit reached!
% 12.38/2.60 % (101602)------------------------------
% 12.38/2.60 % (101602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101602)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101602)Termination reason: Instruction limit
% 12.38/2.60 % (101602)Termination phase: Property scanning
% 12.38/2.60 % (101602)Time elapsed: 0.166 s
% 12.38/2.60 % (101602)Peak memory usage: 98 MB
% 12.38/2.60 % (101602)Instructions burned: 256 (million)
% 12.38/2.60 % (101647)Instruction limit reached!
% 12.38/2.60 % (101647)------------------------------
% 12.38/2.60 % (101647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101647)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101647)Termination reason: Instruction limit
% 12.38/2.60 % (101647)Termination phase: Property scanning
% 12.38/2.60 % (101647)Time elapsed: 0.079 s
% 12.38/2.60 % (101647)Peak memory usage: 93 MB
% 12.38/2.60 % (101647)Instructions burned: 113 (million)
% 12.38/2.60 % (101674)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3508510399:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.38/2.60 % (101674)Instruction limit reached!
% 12.38/2.60 % (101674)------------------------------
% 12.38/2.60 % (101674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101674)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101674)Termination reason: Instruction limit
% 12.38/2.60 % (101674)Termination phase: Clausification
% 12.38/2.60 % (101674)Time elapsed: 0.048 s
% 12.38/2.60 % (101674)Peak memory usage: 96 MB
% 12.38/2.60 % (101674)Instructions burned: 130 (million)
% 12.38/2.60 % (101696)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1549141428:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.38/2.60 % (101716)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=371382138:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.38/2.60 % (101696)Instruction limit reached!
% 12.38/2.60 % (101696)------------------------------
% 12.38/2.60 % (101696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101696)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101696)Termination reason: Instruction limit
% 12.38/2.60 % (101696)Termination phase: Preprocessing 3
% 12.38/2.60 % (101696)Time elapsed: 0.059 s
% 12.38/2.60 % (101696)Peak memory usage: 90 MB
% 12.38/2.60 % (101696)Instructions burned: 114 (million)
% 12.38/2.60 % (101705)lrs+10_1_sil=8000:sp=occurrence:random_seed=4021415170:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.38/2.60 % (101716)Instruction limit reached!
% 12.38/2.60 % (101716)------------------------------
% 12.38/2.60 % (101716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101716)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101716)Termination reason: Instruction limit
% 12.38/2.60 % (101716)Termination phase: Saturation
% 12.38/2.60 % (101716)Time elapsed: 0.138 s
% 12.38/2.60 % (101716)Peak memory usage: 95 MB
% 12.38/2.60 % (101716)Instructions burned: 441 (million)
% 12.38/2.60 % (101726)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1231039264:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.38/2.60 % (101727)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1151008281:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.38/2.60 % (101727)Instruction limit reached!
% 12.38/2.60 % (101727)------------------------------
% 12.38/2.60 % (101727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101727)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101727)Termination reason: Instruction limit
% 12.38/2.60 % (101727)Termination phase: Saturation
% 12.38/2.60 % (101727)Time elapsed: 0.048 s
% 12.38/2.60 % (101727)Peak memory usage: 95 MB
% 12.38/2.60 % (101727)Instructions burned: 137 (million)
% 12.38/2.60 % (101730)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1962416051:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.38/2.60 % (101561)First to succeed.
% 12.38/2.60 % (101561)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-101244"
% 12.38/2.60 % (101730)Instruction limit reached!
% 12.38/2.60 % (101730)------------------------------
% 12.38/2.60 % (101730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101730)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101730)Termination reason: Instruction limit
% 12.38/2.60 % (101730)Termination phase: Saturation
% 12.38/2.60 % (101730)Time elapsed: 0.170 s
% 12.38/2.60 % (101730)Peak memory usage: 106 MB
% 12.38/2.60 % (101730)Instructions burned: 595 (million)
% 12.38/2.60 % (101733)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3390249213:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 12.38/2.60 % (101705)Instruction limit reached!
% 12.38/2.60 % (101705)------------------------------
% 12.38/2.60 % (101705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.38/2.60 % (101705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.38/2.60 % (101705)CaDiCaL version: 2.1.3
% 12.38/2.60 % (101705)Termination reason: Instruction limit
% 12.38/2.60 % (101705)Termination phase: Saturation
% 12.38/2.60 % (101705)Time elapsed: 0.752 s
% 12.38/2.60 % (101705)Peak memory usage: 106 MB
% 12.38/2.60 % (101705)Instructions burned: 908 (million)
% 12.38/2.60 % (101561)Refutation found. Thanks to Tanya!
% 12.38/2.60 % SZS status Theorem for theBenchmark
% 12.38/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 13.23/2.72 % (101561)------------------------------
% 13.23/2.72 % (101561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.23/2.72 % (101561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.23/2.72 % (101561)CaDiCaL version: 2.1.3
% 13.23/2.72 % (101561)Termination reason: Refutation
% 13.23/2.72 % (101561)Time elapsed: 1.339 s
% 13.23/2.72 % (101561)Peak memory usage: 167 MB
% 13.23/2.72 % (101561)Instructions burned: 2192 (million)
% 13.23/2.72 % (101561)------------------------------
% 13.23/2.72 % (101561)------------------------------
% 13.23/2.72 % (101244)Success in time 1.934 s
% 13.23/2.72 % Vampire exiting
%------------------------------------------------------------------------------