%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU428+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 : n007.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 12:48:57 PM UTC 2026
% Result : Theorem 5.52s 2.15s
% Output : Refutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 120 ( 55 unt; 0 def)
% Number of atoms : 237 ( 86 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 204 ( 87 ~; 78 |; 15 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 227 ( 222 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,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(f6,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f7,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f10,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relset_2) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_2) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f21,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f29,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(f51,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f54,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(f58,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t153_relat_1) ).
fof(f63,axiom,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_relset_2) ).
fof(f70,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( X1 = k4_subset_1(k1_zfmisc_1(X0),X2,X3)
=> k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_mssubfam) ).
fof(f74,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) != k5_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f77,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ! [X3] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f84,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f84]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f90]) ).
fof(f94,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,[],[f29]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f51]) ).
fof(f107,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f108,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f110,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f54]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f55]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2] :
( k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f70]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
( k8_relset_2(sK0,sK1,k4_subset_1(sK0,sK2,sK3),sK4) != k5_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4))
& m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(sK0))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f74]) ).
fof(f139,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f126]) ).
fof(f140,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f126]) ).
fof(f141,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f126]) ).
fof(f142,plain,
k8_relset_2(sK0,sK1,k4_subset_1(sK0,sK2,sK3),sK4) != k5_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK3,sK4)),
inference(cnf_transformation,[],[f126]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f147,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f106]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(X2,k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f208,plain,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_pua2mss1(X0),k3_pua2mss1(X1)),
inference(cnf_transformation,[],[f63]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f125]) ).
fof(f217,plain,
! [X2,X3,X0] :
( ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X2,X3),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) = k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X2,X3)) ),
inference(equality_resolution,[],[f216]) ).
fof(f218,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4) ),
inference(resolution,[],[f199,f141]) ).
fof(f225,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| m1_subset_1(k8_relset_2(sK0,sK1,X0,sK4),k1_zfmisc_1(sK1)) ),
inference(resolution,[],[f160,f141]) ).
fof(f229,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k4_subset_1(sK0,X0,sK3) = k2_xboole_0(X0,sK3) ),
inference(resolution,[],[f196,f140]) ).
fof(f234,plain,
k6_relset_2(sK1,sK0,sK4) = k5_relset_2(sK0,sK4),
inference(resolution,[],[f198,f141]) ).
fof(f235,plain,
! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
inference(resolution,[],[f150,f141]) ).
fof(f236,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(X0))) ),
inference(forward_demodulation,[],[f235,f234]) ).
fof(f237,plain,
k7_relset_2(sK0,sK1,sK3,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK3))),
inference(resolution,[],[f236,f140]) ).
fof(f238,plain,
k7_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK2))),
inference(resolution,[],[f236,f139]) ).
fof(f240,plain,
k8_relset_2(sK0,sK1,sK3,sK4) = k7_relset_2(sK0,sK1,sK3,sK4),
inference(resolution,[],[f218,f140]) ).
fof(f241,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = k7_relset_2(sK0,sK1,sK2,sK4),
inference(resolution,[],[f218,f139]) ).
fof(f242,plain,
k8_relset_2(sK0,sK1,k4_subset_1(sK0,sK2,sK3),sK4) != k5_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(superposition,[],[f142,f240]) ).
fof(f243,plain,
k8_relset_2(sK0,sK1,k4_subset_1(sK0,sK2,sK3),sK4) != k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(forward_demodulation,[],[f242,f241]) ).
fof(f247,plain,
k4_subset_1(sK0,sK2,sK3) = k2_xboole_0(sK2,sK3),
inference(resolution,[],[f229,f139]) ).
fof(f253,plain,
m1_subset_1(k8_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)),
inference(resolution,[],[f225,f140]) ).
fof(f254,plain,
m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)),
inference(resolution,[],[f225,f139]) ).
fof(f255,plain,
m1_subset_1(k7_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)),
inference(forward_demodulation,[],[f254,f241]) ).
fof(f256,plain,
m1_subset_1(k7_relset_2(sK0,sK1,sK3,sK4),k1_zfmisc_1(sK1)),
inference(forward_demodulation,[],[f253,f240]) ).
fof(f259,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k5_subset_1(sK1,X0,k7_relset_2(sK0,sK1,sK3,sK4)) = k3_xboole_0(X0,k7_relset_2(sK0,sK1,sK3,sK4)) ),
inference(resolution,[],[f256,f197]) ).
fof(f263,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k5_subset_1(sK1,X0,k7_relset_2(sK0,sK1,sK2,sK4)) = k3_xboole_0(X0,k7_relset_2(sK0,sK1,sK2,sK4)) ),
inference(resolution,[],[f255,f197]) ).
fof(f271,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| m1_subset_1(k4_subset_1(sK0,X0,sK3),k1_zfmisc_1(sK0)) ),
inference(resolution,[],[f153,f140]) ).
fof(f301,plain,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X0)),
inference(superposition,[],[f146,f208]) ).
fof(f302,plain,
m1_subset_1(k4_subset_1(sK0,sK2,sK3),k1_zfmisc_1(sK0)),
inference(resolution,[],[f271,f139]) ).
fof(f305,plain,
m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(sK0)),
inference(forward_demodulation,[],[f302,f247]) ).
fof(f306,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) = k8_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4),
inference(resolution,[],[f305,f218]) ).
fof(f314,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(k2_xboole_0(sK2,sK3)))),
inference(resolution,[],[f305,f236]) ).
fof(f332,plain,
m2_relset_1(k6_relset_2(sK1,sK0,sK4),k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)),
inference(resolution,[],[f157,f141]) ).
fof(f333,plain,
m2_relset_1(k5_relset_2(sK0,sK4),k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)),
inference(forward_demodulation,[],[f332,f234]) ).
fof(f334,plain,
m1_subset_1(k5_relset_2(sK0,sK4),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)))),
inference(resolution,[],[f333,f163]) ).
fof(f335,plain,
! [X0] : k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),X0) = k9_relat_1(k5_relset_2(sK0,sK4),X0),
inference(resolution,[],[f334,f195]) ).
fof(f337,plain,
v1_relat_1(k5_relset_2(sK0,sK4)),
inference(resolution,[],[f334,f145]) ).
fof(f350,plain,
k7_relset_2(sK0,sK1,sK3,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK3))),
inference(superposition,[],[f237,f335]) ).
fof(f351,plain,
k7_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK2))),
inference(superposition,[],[f238,f335]) ).
fof(f352,plain,
! [X0,X1] : k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1)) = k2_xboole_0(k9_relat_1(k5_relset_2(sK0,sK4),X0),k9_relat_1(k5_relset_2(sK0,sK4),X1)),
inference(resolution,[],[f337,f203]) ).
fof(f354,plain,
k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)) = k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(resolution,[],[f259,f255]) ).
fof(f356,plain,
k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)) = k3_xboole_0(k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)),
inference(resolution,[],[f263,f256]) ).
fof(f359,plain,
k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)) = k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)),
inference(forward_demodulation,[],[f356,f147]) ).
fof(f360,plain,
k8_relset_2(sK0,sK1,k4_subset_1(sK0,sK2,sK3),sK4) != k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(superposition,[],[f243,f354]) ).
fof(f361,plain,
k8_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) != k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(forward_demodulation,[],[f360,f247]) ).
fof(f362,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) != k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(forward_demodulation,[],[f361,f306]) ).
fof(f398,plain,
! [X0] : m1_subset_1(k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),X0),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(resolution,[],[f152,f334]) ).
fof(f399,plain,
! [X0] : m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),X0),k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(forward_demodulation,[],[f398,f335]) ).
fof(f406,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| k4_subset_1(k1_zfmisc_1(sK1),X0,k9_relat_1(k5_relset_2(sK0,sK4),X1)) = k2_xboole_0(X0,k9_relat_1(k5_relset_2(sK0,sK4),X1)) ),
inference(resolution,[],[f399,f196]) ).
fof(f714,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(k2_xboole_0(sK2,sK3)))),
inference(superposition,[],[f314,f335]) ).
fof(f725,plain,
! [X0,X1] : k2_xboole_0(k9_relat_1(k5_relset_2(sK0,sK4),X0),k9_relat_1(k5_relset_2(sK0,sK4),X1)) = k4_subset_1(k1_zfmisc_1(sK1),k9_relat_1(k5_relset_2(sK0,sK4),X0),k9_relat_1(k5_relset_2(sK0,sK4),X1)),
inference(resolution,[],[f406,f399]) ).
fof(f726,plain,
! [X0,X1] : k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1)) = k4_subset_1(k1_zfmisc_1(sK1),k9_relat_1(k5_relset_2(sK0,sK4),X0),k9_relat_1(k5_relset_2(sK0,sK4),X1)),
inference(forward_demodulation,[],[f725,f352]) ).
fof(f1027,plain,
! [X0,X1] :
( ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),X1),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),X0),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| k5_subset_1(sK1,k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X0)),k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X1))) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1))) ),
inference(superposition,[],[f217,f726]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),X1),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| k5_subset_1(sK1,k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X0)),k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X1))) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f1027,f399]) ).
fof(f1029,plain,
! [X0,X1] :
( ~ m1_subset_1(k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1)),k1_zfmisc_1(k1_zfmisc_1(sK1)))
| k5_subset_1(sK1,k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X0)),k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X1))) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f1028,f399]) ).
fof(f1030,plain,
! [X0,X1] : k5_subset_1(sK1,k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X0)),k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X1))) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,X1))),
inference(forward_subsumption_resolution,[],[f1029,f399]) ).
fof(f1039,plain,
! [X0] : k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(X0,k3_pua2mss1(sK2)))) = k5_subset_1(sK1,k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),X0)),k7_relset_2(sK0,sK1,sK2,sK4)),
inference(superposition,[],[f1030,f351]) ).
fof(f1690,plain,
! [X0,X1] : k3_pua2mss1(k2_xboole_0(X0,X1)) = k3_pua2mss1(k2_xboole_0(X1,X0)),
inference(superposition,[],[f208,f301]) ).
fof(f2108,plain,
k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k2_xboole_0(k3_pua2mss1(sK3),k3_pua2mss1(sK2)))),
inference(superposition,[],[f1039,f350]) ).
fof(f2109,plain,
k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(k2_xboole_0(sK3,sK2)))),
inference(forward_demodulation,[],[f2108,f208]) ).
fof(f2119,plain,
k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(k2_xboole_0(sK2,sK3)))),
inference(forward_demodulation,[],[f2109,f1690]) ).
fof(f2129,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) = k5_subset_1(sK1,k7_relset_2(sK0,sK1,sK3,sK4),k7_relset_2(sK0,sK1,sK2,sK4)),
inference(forward_demodulation,[],[f2119,f714]) ).
fof(f2132,plain,
k7_relset_2(sK0,sK1,k2_xboole_0(sK2,sK3),sK4) = k3_xboole_0(k7_relset_2(sK0,sK1,sK2,sK4),k7_relset_2(sK0,sK1,sK3,sK4)),
inference(superposition,[],[f359,f2129]) ).
fof(f2133,plain,
$false,
inference(forward_subsumption_resolution,[],[f2132,f362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU428+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 05:20:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 5.52/2.15 % (2057480)Detected formulas, will run a generic FOF schedule.
% 5.52/2.15 % (2057487)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=2532537681:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.52/2.15 % (2057485)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=4161101744:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.52/2.15 % (2057491)dis-21_1_sil=8000:lcm=predicate:random_seed=3050645203: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)
% 5.52/2.15 % (2057488)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3535315883:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.52/2.15 % (2057486)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=2118037268:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.52/2.15 % (2057489)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2394142441:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.52/2.15 % (2057488)Refutation not found, incomplete strategy
% 5.52/2.15 % (2057488)------------------------------
% 5.52/2.15 % (2057488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057488)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057488)Termination reason: Refutation not found, incomplete strategy
% 5.52/2.15 % (2057488)Time elapsed: 0.002 s
% 5.52/2.15 % (2057488)Peak memory usage: 88 MB
% 5.52/2.15 % (2057488)Instructions burned: 2 (million)
% 5.52/2.15 % (2057489)Refutation not found, incomplete strategy
% 5.52/2.15 % (2057489)------------------------------
% 5.52/2.15 % (2057489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057489)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057489)Termination reason: Refutation not found, incomplete strategy
% 5.52/2.15 % (2057489)Time elapsed: 0.008 s
% 5.52/2.15 % (2057489)Peak memory usage: 88 MB
% 5.52/2.15 % (2057489)Instructions burned: 10 (million)
% 5.52/2.15 % (2057490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1725462180:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.52/2.15 % (2057491)Instruction limit reached!
% 5.52/2.15 % (2057491)------------------------------
% 5.52/2.15 % (2057491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057491)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057491)Termination reason: Instruction limit
% 5.52/2.15 % (2057491)Termination phase: Saturation
% 5.52/2.15 % (2057491)Time elapsed: 0.077 s
% 5.52/2.15 % (2057491)Peak memory usage: 89 MB
% 5.52/2.15 % (2057491)Instructions burned: 131 (million)
% 5.52/2.15 % (2057490)Instruction limit reached!
% 5.52/2.15 % (2057490)------------------------------
% 5.52/2.15 % (2057490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057490)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057490)Termination reason: Instruction limit
% 5.52/2.15 % (2057490)Termination phase: Saturation
% 5.52/2.15 % (2057490)Time elapsed: 0.090 s
% 5.52/2.15 % (2057490)Peak memory usage: 90 MB
% 5.52/2.15 % (2057490)Instructions burned: 139 (million)
% 5.52/2.15 % (2057499)lrs+10_1_sil=8000:sp=occurrence:random_seed=420664328:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.52/2.15 % (2057488)------------------------------
% 5.52/2.15 % (2057488)------------------------------
% 5.52/2.15 % (2057489)------------------------------
% 5.52/2.15 % (2057489)------------------------------
% 5.52/2.15 % (2057500)lrs+10_1_sil=32000:urr=on:br=off:random_seed=565303303:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.52/2.15 % (2057500)Instruction limit reached!
% 5.52/2.15 % (2057500)------------------------------
% 5.52/2.15 % (2057500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057500)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057500)Termination reason: Instruction limit
% 5.52/2.15 % (2057500)Termination phase: Saturation
% 5.52/2.15 % (2057500)Time elapsed: 0.074 s
% 5.52/2.15 % (2057500)Peak memory usage: 89 MB
% 5.52/2.15 % (2057500)Instructions burned: 158 (million)
% 5.52/2.15 % (2057499)Instruction limit reached!
% 5.52/2.15 % (2057499)------------------------------
% 5.52/2.15 % (2057499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057499)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057499)Termination reason: Instruction limit
% 5.52/2.15 % (2057499)Termination phase: Saturation
% 5.52/2.15 % (2057499)Time elapsed: 0.166 s
% 5.52/2.15 % (2057499)Peak memory usage: 93 MB
% 5.52/2.15 % (2057499)Instructions burned: 286 (million)
% 5.52/2.15 % (2057502)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2009632517:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.52/2.15 % (2057503)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=4196545878:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.52/2.15 % (2057505)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2013963886:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.52/2.15 % (2057505)Refutation not found, incomplete strategy
% 5.52/2.15 % (2057505)------------------------------
% 5.52/2.15 % (2057505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057505)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057505)Termination reason: Refutation not found, incomplete strategy
% 5.52/2.15 % (2057505)Time elapsed: 0.004 s
% 5.52/2.15 % (2057505)Peak memory usage: 89 MB
% 5.52/2.15 % (2057505)Instructions burned: 3 (million)
% 5.52/2.15 % (2057503)Instruction limit reached!
% 5.52/2.15 % (2057503)------------------------------
% 5.52/2.15 % (2057503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057503)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057503)Termination reason: Instruction limit
% 5.52/2.15 % (2057503)Termination phase: Saturation
% 5.52/2.15 % (2057503)Time elapsed: 0.127 s
% 5.52/2.15 % (2057503)Peak memory usage: 92 MB
% 5.52/2.15 % (2057503)Instructions burned: 250 (million)
% 5.52/2.15 % (2057506)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2507782525:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.52/2.15 % (2057502)Instruction limit reached!
% 5.52/2.15 % (2057502)------------------------------
% 5.52/2.15 % (2057502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057502)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057502)Termination reason: Instruction limit
% 5.52/2.15 % (2057502)Termination phase: Saturation
% 5.52/2.15 % (2057502)Time elapsed: 0.195 s
% 5.52/2.15 % (2057502)Peak memory usage: 91 MB
% 5.52/2.15 % (2057502)Instructions burned: 325 (million)
% 5.52/2.15 % (2057510)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=452932688:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 5.52/2.15 % (2057505)------------------------------
% 5.52/2.15 % (2057505)------------------------------
% 5.52/2.15 % (2057512)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1511801590:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.52/2.15 % (2057510)Instruction limit reached!
% 5.52/2.15 % (2057510)------------------------------
% 5.52/2.15 % (2057510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057510)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057510)Termination reason: Instruction limit
% 5.52/2.15 % (2057510)Termination phase: Saturation
% 5.52/2.15 % (2057510)Time elapsed: 0.082 s
% 5.52/2.15 % (2057510)Peak memory usage: 91 MB
% 5.52/2.15 % (2057510)Instructions burned: 114 (million)
% 5.52/2.15 % (2057512)Instruction limit reached!
% 5.52/2.15 % (2057512)------------------------------
% 5.52/2.15 % (2057512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057512)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057512)Termination reason: Instruction limit
% 5.52/2.15 % (2057512)Termination phase: Saturation
% 5.52/2.15 % (2057512)Time elapsed: 0.063 s
% 5.52/2.15 % (2057512)Peak memory usage: 89 MB
% 5.52/2.15 % (2057512)Instructions burned: 127 (million)
% 5.52/2.15 % (2057486)First to succeed.
% 5.52/2.15 % (2057486)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2057480"
% 5.52/2.15 % (2057514)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=691335858:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 5.52/2.15 % (2057516)lrs+10_1_sil=8000:sp=occurrence:random_seed=3207126722:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 5.52/2.15 % (2057514)Instruction limit reached!
% 5.52/2.15 % (2057514)------------------------------
% 5.52/2.15 % (2057514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057514)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057514)Termination reason: Instruction limit
% 5.52/2.15 % (2057514)Termination phase: Saturation
% 5.52/2.15 % (2057514)Time elapsed: 0.060 s
% 5.52/2.15 % (2057514)Peak memory usage: 89 MB
% 5.52/2.15 % (2057514)Instructions burned: 115 (million)
% 5.52/2.15 % (2057517)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3599663654:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 5.52/2.15 % (2057517)Refutation not found, incomplete strategy
% 5.52/2.15 % (2057517)------------------------------
% 5.52/2.15 % (2057517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.52/2.15 % (2057517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/2.15 % (2057517)CaDiCaL version: 2.1.3
% 5.52/2.15 % (2057517)Termination reason: Refutation not found, incomplete strategy
% 5.52/2.15 % (2057517)Time elapsed: 0.004 s
% 5.52/2.15 % (2057517)Peak memory usage: 89 MB
% 5.52/2.15 % (2057517)Instructions burned: 5 (million)
% 5.52/2.15 % (2057486)Refutation found. Thanks to Tanya!
% 5.52/2.15 % SZS status Theorem for theBenchmark
% 5.52/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 9.83/2.34 % (2057486)------------------------------
% 9.83/2.34 % (2057486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.34 % (2057486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.34 % (2057486)CaDiCaL version: 2.1.3
% 9.83/2.34 % (2057486)Termination reason: Refutation
% 9.83/2.34 % (2057486)Time elapsed: 0.877 s
% 9.83/2.34 % (2057486)Peak memory usage: 131 MB
% 9.83/2.34 % (2057486)Instructions burned: 1336 (million)
% 9.83/2.34 % (2057486)------------------------------
% 9.83/2.34 % (2057486)------------------------------
% 9.83/2.34 % (2057480)Success in time 1.309 s
% 9.83/2.34 % Vampire exiting
%------------------------------------------------------------------------------