%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU432+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:49:00 PM UTC 2026
% Result : Theorem 24.08s 6.96s
% Output : Refutation 38.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 126 ( 41 unt; 2 def)
% Number of atoms : 300 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 320 ( 146 ~; 135 |; 14 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 210 ( 0 sgn 205 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f77,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X2,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f514,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_subset_1) ).
fof(f525,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_subset_1) ).
fof(f570,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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f571,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f574,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/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f602,axiom,
! [X0,X1] : k1_setfam_1(k2_tarski(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_setfam_1) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f19064,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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f19065,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/sandbox2/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(f19103,axiom,
! [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)))
=> ( r1_tarski(X2,X3)
=> r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_relset_2) ).
fof(f19104,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)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,X3),X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_relset_2) ).
fof(f19105,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)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,X3),X4)) ) ) ),
inference(negated_conjecture,[status(cth)],[f19104]) ).
fof(f19159,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,[],[f19064]) ).
fof(f19160,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,[],[f19159]) ).
fof(f19161,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,[],[f19065]) ).
fof(f19162,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,[],[f19161]) ).
fof(f19202,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ 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,[],[f19103]) ).
fof(f19203,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ 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(flattening,[],[f19202]) ).
fof(f19204,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X4),k8_relset_2(X0,X1,X3,X4)),k8_relset_2(X0,X1,k5_subset_1(X0,X2,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,[],[f19105]) ).
fof(f19463,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f19464,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(flattening,[],[f19463]) ).
fof(f19538,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,[],[f574]) ).
fof(f19539,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,[],[f19538]) ).
fof(f19544,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_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,[],[f571]) ).
fof(f19545,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_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,[],[f19544]) ).
fof(f19792,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,[],[f570]) ).
fof(f19793,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,[],[f19792]) ).
fof(f20537,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f525]) ).
fof(f20545,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f514]) ).
fof(f21854,plain,
( ~ r1_tarski(k4_subset_1(sK19,k8_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,sK21,sK22)),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
& m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
& m1_subset_1(sK21,k1_zfmisc_1(sK18))
& m1_subset_1(sK20,k1_zfmisc_1(sK18)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21),skolemize(X4,sK22)],[f19204]) ).
fof(f21944,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,[],[f677]) ).
fof(f22375,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f20545]) ).
fof(f22798,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f19160]) ).
fof(f22799,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))
| k8_relset_2(X0,X1,X2,X3) = k7_relset_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f19162]) ).
fof(f22852,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k8_relset_2(X0,X1,X3,X4),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,X3)
| ~ 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(cnf_transformation,[],[f19203]) ).
fof(f22853,plain,
m1_subset_1(sK20,k1_zfmisc_1(sK18)),
inference(cnf_transformation,[],[f21854]) ).
fof(f22854,plain,
m1_subset_1(sK21,k1_zfmisc_1(sK18)),
inference(cnf_transformation,[],[f21854]) ).
fof(f22855,plain,
m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))),
inference(cnf_transformation,[],[f21854]) ).
fof(f22856,plain,
~ r1_tarski(k4_subset_1(sK19,k8_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,sK21,sK22)),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(cnf_transformation,[],[f21854]) ).
fof(f23211,plain,
! [X2,X0,X1] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f19464]) ).
fof(f23218,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f23286,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f23326,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f21944]) ).
fof(f23327,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f21944]) ).
fof(f23360,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f19539]) ).
fof(f23363,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_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(cnf_transformation,[],[f19545]) ).
fof(f23820,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f19793]) ).
fof(f24095,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f24971,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f20537]) ).
fof(f24977,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f22375]) ).
fof(f25527,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f27060,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f23360,f23286]) ).
fof(f27697,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f25527,f23286]) ).
fof(f28556,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) = k1_setfam_1(k2_tarski(X1,X2)) ),
inference(forward_demodulation,[],[f27060,f27697]) ).
fof(f28804,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k5_subset_1(sK18,X0,sK20) = k1_setfam_1(k2_tarski(X0,sK20)) ),
inference(resolution,[],[f28556,f22853]) ).
fof(f28805,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k5_subset_1(sK18,X0,sK21) = k1_setfam_1(k2_tarski(X0,sK21)) ),
inference(resolution,[],[f28556,f22854]) ).
fof(f28813,plain,
k5_subset_1(sK18,sK21,sK20) = k1_setfam_1(k2_tarski(sK21,sK20)),
inference(resolution,[],[f28804,f22854]) ).
fof(f28814,plain,
k5_subset_1(sK18,sK21,sK20) = k1_setfam_1(k2_tarski(sK20,sK21)),
inference(forward_demodulation,[],[f28813,f24095]) ).
fof(f28822,plain,
k5_subset_1(sK18,sK20,sK21) = k1_setfam_1(k2_tarski(sK20,sK21)),
inference(resolution,[],[f28805,f22853]) ).
fof(f28829,plain,
k5_subset_1(sK18,sK20,sK21) = k5_subset_1(sK18,sK21,sK20),
inference(superposition,[],[f28814,f28822]) ).
fof(f28833,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| k2_xboole_0(X0,k8_relset_2(X2,X1,X3,X4)) = k4_subset_1(X1,X0,k8_relset_2(X2,X1,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f23820,f22798]) ).
fof(f28891,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k8_relset_2(sK18,sK19,X0,sK22) = k7_relset_2(sK18,sK19,X0,sK22) ),
inference(resolution,[],[f22799,f22855]) ).
fof(f28895,plain,
k8_relset_2(sK18,sK19,sK20,sK22) = k7_relset_2(sK18,sK19,sK20,sK22),
inference(resolution,[],[f28891,f22853]) ).
fof(f28896,plain,
k8_relset_2(sK18,sK19,sK21,sK22) = k7_relset_2(sK18,sK19,sK21,sK22),
inference(resolution,[],[f28891,f22854]) ).
fof(f28897,plain,
~ r1_tarski(k4_subset_1(sK19,k8_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(superposition,[],[f22856,f28896]) ).
fof(f28899,plain,
! [X0] :
( r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ r1_tarski(X0,sK21)
| ~ m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(sK18))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(superposition,[],[f22852,f28896]) ).
fof(f28902,plain,
! [X0] :
( r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ r1_tarski(X0,sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(sK18))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(forward_subsumption_resolution,[],[f28899,f22855]) ).
fof(f28904,plain,
~ r1_tarski(k4_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(forward_demodulation,[],[f28897,f28895]) ).
fof(f28906,plain,
! [X0] :
( ~ r1_tarski(X0,sK21)
| r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(forward_subsumption_resolution,[],[f28902,f22854]) ).
fof(f28910,plain,
! [X0] :
( r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ r1_tarski(X0,sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(superposition,[],[f22852,f28895]) ).
fof(f28913,plain,
! [X0] :
( r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ r1_tarski(X0,sK20)
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(forward_subsumption_resolution,[],[f28910,f22855]) ).
fof(f28917,plain,
! [X0] :
( ~ r1_tarski(X0,sK20)
| r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,X0,sK22))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(forward_subsumption_resolution,[],[f28913,f22853]) ).
fof(f28920,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_tarski(k5_subset_1(X0,X1,X2),X0) ),
inference(resolution,[],[f23326,f23363]) ).
fof(f29053,plain,
! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X0,X1,X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f24977,f24971]) ).
fof(f29058,plain,
! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X0,X1,X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(duplicate_literal_removal,[],[f29053]) ).
fof(f29060,plain,
! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X0,X1,X2),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f29058,f23363]) ).
fof(f29063,plain,
( r1_tarski(k5_subset_1(sK18,sK20,sK21),sK21)
| ~ m1_subset_1(sK21,k1_zfmisc_1(sK18))
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18)) ),
inference(superposition,[],[f29060,f28829]) ).
fof(f29074,plain,
( r1_tarski(k5_subset_1(sK18,sK20,sK21),sK21)
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18)) ),
inference(forward_subsumption_resolution,[],[f29063,f22854]) ).
fof(f29076,plain,
r1_tarski(k5_subset_1(sK18,sK20,sK21),sK21),
inference(forward_subsumption_resolution,[],[f29074,f22853]) ).
fof(f29077,plain,
( r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
| ~ m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK18)) ),
inference(resolution,[],[f29076,f28906]) ).
fof(f29079,definition,
( spl612_19
<=> m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK18)) ),
introduced(definition,[new_symbols(definition,[spl612_19])],[avatar_definition]) ).
fof(f29080,plain,
( ~ m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK18))
| spl612_19 ),
inference(avatar_component_clause,[],[f29079]) ).
fof(f29082,definition,
( spl612_20
<=> r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)) ),
introduced(definition,[new_symbols(definition,[spl612_20])],[avatar_definition]) ).
fof(f29083,plain,
( r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
| ~ spl612_20 ),
inference(avatar_component_clause,[],[f29082]) ).
fof(f29084,plain,
( ~ spl612_19
| spl612_20 ),
inference(avatar_split_clause,[],[f29077,f29082,f29079]) ).
fof(f29086,plain,
( ~ m1_subset_1(sK20,k1_zfmisc_1(sK18))
| ~ m1_subset_1(sK21,k1_zfmisc_1(sK18))
| spl612_19 ),
inference(resolution,[],[f29080,f23363]) ).
fof(f29088,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(sK18))
| spl612_19 ),
inference(forward_subsumption_resolution,[],[f29086,f22853]) ).
fof(f29089,plain,
( $false
| spl612_19 ),
inference(forward_subsumption_resolution,[],[f29088,f22854]) ).
fof(f29090,plain,
spl612_19,
inference(avatar_contradiction_clause,[],[f29089]) ).
fof(f29124,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK19))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK18))
| k2_xboole_0(X0,k8_relset_2(sK18,sK19,X1,sK22)) = k4_subset_1(sK19,X0,k8_relset_2(sK18,sK19,X1,sK22)) ),
inference(resolution,[],[f28833,f22855]) ).
fof(f29222,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,sK19)))
| k2_xboole_0(k8_relset_2(X1,sK19,X2,X3),k8_relset_2(sK18,sK19,X0,sK22)) = k4_subset_1(sK19,k8_relset_2(X1,sK19,X2,X3),k8_relset_2(sK18,sK19,X0,sK22))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(resolution,[],[f29124,f22798]) ).
fof(f29426,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X1)) ),
inference(resolution,[],[f23327,f29060]) ).
fof(f29452,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| m1_subset_1(k5_subset_1(sK18,X0,sK21),k1_zfmisc_1(X0)) ),
inference(resolution,[],[f29426,f22854]) ).
fof(f29467,plain,
m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK20)),
inference(resolution,[],[f29452,f22853]) ).
fof(f29471,plain,
r1_tarski(k5_subset_1(sK18,sK20,sK21),sK20),
inference(resolution,[],[f29467,f23326]) ).
fof(f30561,plain,
! [X0] :
( r1_tarski(k5_subset_1(sK18,X0,sK20),sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(resolution,[],[f28920,f22853]) ).
fof(f30574,plain,
( r1_tarski(k5_subset_1(sK18,sK20,sK21),sK18)
| ~ m1_subset_1(sK21,k1_zfmisc_1(sK18)) ),
inference(superposition,[],[f30561,f28829]) ).
fof(f30581,plain,
r1_tarski(k5_subset_1(sK18,sK20,sK21),sK18),
inference(forward_subsumption_resolution,[],[f30574,f22854]) ).
fof(f30582,plain,
m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK18)),
inference(resolution,[],[f30581,f23327]) ).
fof(f30597,plain,
k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22) = k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22),
inference(resolution,[],[f30582,f28891]) ).
fof(f30972,plain,
( r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
| ~ m1_subset_1(k5_subset_1(sK18,sK20,sK21),k1_zfmisc_1(sK18)) ),
inference(resolution,[],[f29471,f28917]) ).
fof(f30975,plain,
r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(forward_subsumption_resolution,[],[f30972,f30582]) ).
fof(f30976,plain,
r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(forward_demodulation,[],[f30975,f30597]) ).
fof(f31797,plain,
( r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
| ~ spl612_20 ),
inference(superposition,[],[f29083,f30597]) ).
fof(f32999,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sK18))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k2_xboole_0(k8_relset_2(sK18,sK19,X0,sK22),k8_relset_2(sK18,sK19,X1,sK22)) = k4_subset_1(sK19,k8_relset_2(sK18,sK19,X0,sK22),k8_relset_2(sK18,sK19,X1,sK22)) ),
inference(resolution,[],[f29222,f22855]) ).
fof(f33011,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k2_xboole_0(k8_relset_2(sK18,sK19,X0,sK22),k8_relset_2(sK18,sK19,sK21,sK22)) = k4_subset_1(sK19,k8_relset_2(sK18,sK19,X0,sK22),k8_relset_2(sK18,sK19,sK21,sK22)) ),
inference(resolution,[],[f32999,f22854]) ).
fof(f33012,plain,
! [X0] :
( k4_subset_1(sK19,k8_relset_2(sK18,sK19,X0,sK22),k7_relset_2(sK18,sK19,sK21,sK22)) = k2_xboole_0(k8_relset_2(sK18,sK19,X0,sK22),k7_relset_2(sK18,sK19,sK21,sK22))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK18)) ),
inference(forward_demodulation,[],[f33011,f28896]) ).
fof(f33021,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k2_xboole_0(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,X0,sK22)) = k4_subset_1(sK19,k8_relset_2(sK18,sK19,X0,sK22),k7_relset_2(sK18,sK19,sK21,sK22)) ),
inference(forward_demodulation,[],[f33012,f23218]) ).
fof(f33057,plain,
k4_subset_1(sK19,k8_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)) = k2_xboole_0(k7_relset_2(sK18,sK19,sK21,sK22),k8_relset_2(sK18,sK19,sK20,sK22)),
inference(resolution,[],[f33021,f22853]) ).
fof(f33060,plain,
k4_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)) = k2_xboole_0(k7_relset_2(sK18,sK19,sK21,sK22),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(forward_demodulation,[],[f33057,f28895]) ).
fof(f33069,plain,
k4_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)) = k2_xboole_0(k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)),
inference(forward_demodulation,[],[f33060,f23218]) ).
fof(f33082,plain,
~ r1_tarski(k2_xboole_0(k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)),k8_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(superposition,[],[f28904,f33069]) ).
fof(f33089,plain,
~ r1_tarski(k2_xboole_0(k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK21,sK22)),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(forward_demodulation,[],[f33082,f30597]) ).
fof(f33091,plain,
( ~ r1_tarski(k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22))
| ~ r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)) ),
inference(resolution,[],[f33089,f23211]) ).
fof(f33092,plain,
~ r1_tarski(k7_relset_2(sK18,sK19,sK21,sK22),k7_relset_2(sK18,sK19,k5_subset_1(sK18,sK20,sK21),sK22)),
inference(forward_subsumption_resolution,[],[f33091,f30976]) ).
fof(f33093,plain,
( $false
| ~ spl612_20 ),
inference(forward_subsumption_resolution,[],[f33092,f31797]) ).
fof(f33094,plain,
~ spl612_20,
inference(avatar_contradiction_clause,[],[f33093]) ).
cnf(s15,plain,
( ~ spl612_19
| spl612_20 ),
inference(sat_conversion,[],[f29084]) ).
cnf(s17,plain,
spl612_19,
inference(sat_conversion,[],[f29090]) ).
cnf(s80,plain,
~ spl612_20,
inference(sat_conversion,[],[f33094]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s15,s80,s17]) ).
fof(f33095,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU432+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n005.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 28 05:25:49 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.62/4.93 % (476625)Detected formulas, will run a generic FOF schedule.
% 24.62/4.93 % (476638)dis-21_1_sil=8000:lcm=predicate:random_seed=2255580257:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 24.62/4.93 % (476638)Instruction limit reached!
% 24.62/4.93 % (476638)------------------------------
% 24.62/4.93 % (476638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/4.93 % (476638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.93 % (476638)CaDiCaL version: 2.1.3
% 24.62/4.93 % (476638)Termination reason: Instruction limit
% 24.62/4.93 % (476638)Termination phase: SInE selection
% 24.62/4.93 % (476638)Time elapsed: 0.080 s
% 24.62/4.93 % (476638)Peak memory usage: 113 MB
% 24.62/4.93 % (476638)Instructions burned: 129 (million)
% 24.62/4.93 % (476635)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=185466991:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 24.62/4.93 % (476632)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=3944836820:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 24.62/4.93 % (476633)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=2898546833:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 24.62/4.93 % (476634)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=2909943015:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 24.62/4.93 % (476637)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1481298367:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 24.62/4.93 % (476636)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=623596068:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 24.62/4.93 % (476637)Instruction limit reached!
% 24.62/4.93 % (476637)------------------------------
% 24.62/4.93 % (476637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/4.93 % (476637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.93 % (476637)CaDiCaL version: 2.1.3
% 24.62/4.93 % (476637)Termination reason: Instruction limit
% 24.62/4.93 % (476637)Termination phase: Property scanning
% 24.62/4.93 % (476637)Time elapsed: 0.116 s
% 24.62/4.93 % (476637)Peak memory usage: 112 MB
% 24.62/4.93 % (476637)Instructions burned: 139 (million)
% 24.62/4.93 % (476635)Instruction limit reached!
% 24.62/4.93 % (476635)------------------------------
% 24.62/4.93 % (476635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/4.93 % (476635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.93 % (476635)CaDiCaL version: 2.1.3
% 24.62/4.93 % (476635)Termination reason: Instruction limit
% 24.62/4.93 % (476635)Termination phase: SInE selection
% 24.62/4.93 % (476635)Time elapsed: 0.121 s
% 24.62/4.93 % (476635)Peak memory usage: 112 MB
% 24.62/4.93 % (476635)Instructions burned: 109 (million)
% 24.62/4.93 % (476636)Instruction limit reached!
% 24.62/4.93 % (476636)------------------------------
% 24.62/4.93 % (476636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/4.93 % (476636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.93 % (476636)CaDiCaL version: 2.1.3
% 24.62/4.93 % (476636)Termination reason: Instruction limit
% 24.62/4.93 % (476636)Termination phase: Preprocessing 1
% 24.62/4.93 % (476636)Time elapsed: 0.145 s
% 24.62/4.93 % (476636)Peak memory usage: 113 MB
% 24.62/4.93 % (476636)Instructions burned: 119 (million)
% 24.62/4.93 % (476640)lrs+10_1_sil=8000:sp=occurrence:random_seed=351255512:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 24.62/4.93 % (476640)Instruction limit reached!
% 24.62/4.93 % (476640)------------------------------
% 24.62/4.93 % (476640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/4.93 % (476640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/4.93 % (476640)CaDiCaL version: 2.1.3
% 24.62/4.93 % (476640)Termination reason: Instruction limit
% 24.62/4.93 % (476640)Termination phase: Saturation
% 24.62/4.93 % (476640)Time elapsed: 0.182 s
% 24.62/4.93 % (476640)Peak memory usage: 119 MB
% 24.62/4.93 % (476640)Instructions burned: 285 (million)
% 24.62/4.93 % (476647)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3966787326:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 35.68/6.53 % (476648)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3841088492:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 35.68/6.53 % (476649)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=1002296562:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 35.68/6.53 % (476647)Instruction limit reached!
% 35.68/6.53 % (476647)------------------------------
% 35.68/6.53 % (476647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.68/6.53 % (476647)CaDiCaL version: 2.1.3
% 35.68/6.53 % (476647)Termination reason: Instruction limit
% 35.68/6.53 % (476647)Termination phase: Property scanning
% 35.68/6.53 % (476647)Time elapsed: 0.132 s
% 35.68/6.53 % (476647)Peak memory usage: 112 MB
% 35.68/6.53 % (476647)Instructions burned: 157 (million)
% 35.68/6.53 % (476651)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=680040776:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 35.68/6.53 % (476649)Instruction limit reached!
% 35.68/6.53 % (476649)------------------------------
% 35.68/6.53 % (476649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.68/6.53 % (476649)CaDiCaL version: 2.1.3
% 35.68/6.53 % (476649)Termination reason: Instruction limit
% 35.68/6.53 % (476649)Termination phase: Property scanning
% 35.68/6.53 % (476649)Time elapsed: 0.211 s
% 35.68/6.53 % (476649)Peak memory usage: 112 MB
% 35.68/6.53 % (476649)Instructions burned: 249 (million)
% 35.68/6.53 % (476648)Instruction limit reached!
% 35.68/6.53 % (476648)------------------------------
% 35.68/6.53 % (476648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.68/6.53 % (476648)CaDiCaL version: 2.1.3
% 35.68/6.53 % (476648)Termination reason: Instruction limit
% 35.68/6.53 % (476648)Termination phase: Saturation
% 35.68/6.53 % (476648)Time elapsed: 0.326 s
% 35.68/6.53 % (476648)Peak memory usage: 119 MB
% 35.68/6.53 % (476648)Instructions burned: 326 (million)
% 35.68/6.53 % (476651)Instruction limit reached!
% 35.68/6.53 % (476651)------------------------------
% 35.68/6.53 % (476651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.68/6.53 % (476651)CaDiCaL version: 2.1.3
% 35.68/6.53 % (476651)Termination reason: Instruction limit
% 35.68/6.53 % (476651)Termination phase: Property scanning
% 35.68/6.53 % (476651)Time elapsed: 0.193 s
% 35.68/6.53 % (476651)Peak memory usage: 118 MB
% 35.68/6.53 % (476651)Instructions burned: 296 (million)
% 35.68/6.53 % (476655)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=24335117:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 35.68/6.53 % (476659)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3940624170:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 35.68/6.53 % (476659)Instruction limit reached!
% 35.68/6.53 % (476659)------------------------------
% 35.68/6.53 % (476659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.68/6.53 % (476659)CaDiCaL version: 2.1.3
% 35.68/6.53 % (476659)Termination reason: Instruction limit
% 35.68/6.53 % (476659)Termination phase: SInE selection
% 35.68/6.53 % (476659)Time elapsed: 0.079 s
% 35.68/6.53 % (476659)Peak memory usage: 112 MB
% 35.68/6.53 % (476659)Instructions burned: 114 (million)
% 35.68/6.53 % (476660)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1042360957:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 35.68/6.53 % (476662)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3461808675:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 35.68/6.53 % (476660)Instruction limit reached!
% 35.68/6.53 % (476660)------------------------------
% 35.68/6.53 % (476660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.68/6.53 % (476660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476660)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476660)Termination reason: Instruction limit
% 24.08/6.96 % (476660)Termination phase: Preprocessing 1
% 24.08/6.96 % (476660)Time elapsed: 0.146 s
% 24.08/6.96 % (476660)Peak memory usage: 113 MB
% 24.08/6.96 % (476660)Instructions burned: 127 (million)
% 24.08/6.96 % (476664)lrs+10_1_sil=8000:sp=occurrence:random_seed=687341211:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 24.08/6.96 % (476662)Instruction limit reached!
% 24.08/6.96 % (476662)------------------------------
% 24.08/6.96 % (476662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476662)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476662)Termination reason: Instruction limit
% 24.08/6.96 % (476662)Termination phase: Property scanning
% 24.08/6.96 % (476662)Time elapsed: 0.099 s
% 24.08/6.96 % (476662)Peak memory usage: 112 MB
% 24.08/6.96 % (476662)Instructions burned: 114 (million)
% 24.08/6.96 % (476667)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=572825395:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 24.08/6.96 % (476669)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=516847925:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 24.08/6.96 % (476664)Instruction limit reached!
% 24.08/6.96 % (476664)------------------------------
% 24.08/6.96 % (476664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476664)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476664)Termination reason: Instruction limit
% 24.08/6.96 % (476664)Termination phase: Saturation
% 24.08/6.96 % (476664)Time elapsed: 0.504 s
% 24.08/6.96 % (476664)Peak memory usage: 131 MB
% 24.08/6.96 % (476664)Instructions burned: 907 (million)
% 24.08/6.96 % (476672)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2036526968:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2973 on theBenchmark for (2973ds/134Mi)
% 24.08/6.96 % (476667)Instruction limit reached!
% 24.08/6.96 % (476667)------------------------------
% 24.08/6.96 % (476667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476667)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476667)Termination reason: Instruction limit
% 24.08/6.96 % (476667)Termination phase: Saturation
% 24.08/6.96 % (476667)Time elapsed: 0.500 s
% 24.08/6.96 % (476667)Peak memory usage: 121 MB
% 24.08/6.96 % (476667)Instructions burned: 438 (million)
% 24.08/6.96 % (476672)Instruction limit reached!
% 24.08/6.96 % (476672)------------------------------
% 24.08/6.96 % (476672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476672)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476672)Termination reason: Instruction limit
% 24.08/6.96 % (476672)Termination phase: NewCNF
% 24.08/6.96 % (476672)Time elapsed: 0.105 s
% 24.08/6.96 % (476672)Peak memory usage: 115 MB
% 24.08/6.96 % (476672)Instructions burned: 135 (million)
% 24.08/6.96 % (476674)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2338114261:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 24.08/6.96 % (476675)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3010417442:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 24.08/6.96 % (476674)Instruction limit reached!
% 24.08/6.96 % (476674)------------------------------
% 24.08/6.96 % (476674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476674)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476674)Termination reason: Instruction limit
% 24.08/6.96 % (476674)Termination phase: Preprocessing 3
% 24.08/6.96 % (476674)Time elapsed: 0.672 s
% 24.08/6.96 % (476674)Peak memory usage: 135 MB
% 24.08/6.96 % (476674)Instructions burned: 592 (million)
% 24.08/6.96 % (476655)Instruction limit reached!
% 24.08/6.96 % (476655)------------------------------
% 24.08/6.96 % (476655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476655)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476655)Termination reason: Instruction limit
% 24.08/6.96 % (476655)Termination phase: Property scanning
% 24.08/6.96 % (476655)Time elapsed: 2.267 s
% 24.08/6.96 % (476655)Peak memory usage: 171 MB
% 24.08/6.96 % (476655)Instructions burned: 2352 (million)
% 24.08/6.96 % (476678)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4239987058:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/125Mi)
% 24.08/6.96 % (476678)Instruction limit reached!
% 24.08/6.96 % (476678)------------------------------
% 24.08/6.96 % (476678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476678)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476678)Termination reason: Instruction limit
% 24.08/6.96 % (476678)Termination phase: Property scanning
% 24.08/6.96 % (476678)Time elapsed: 0.105 s
% 24.08/6.96 % (476678)Peak memory usage: 112 MB
% 24.08/6.96 % (476678)Instructions burned: 125 (million)
% 24.08/6.96 % (476679)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=81542854:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 24.08/6.96 % (476679)Instruction limit reached!
% 24.08/6.96 % (476679)------------------------------
% 24.08/6.96 % (476679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476679)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476679)Termination reason: Instruction limit
% 24.08/6.96 % (476679)Termination phase: Property scanning
% 24.08/6.96 % (476679)Time elapsed: 0.111 s
% 24.08/6.96 % (476679)Peak memory usage: 112 MB
% 24.08/6.96 % (476679)Instructions burned: 135 (million)
% 24.08/6.96 % (476681)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2332114059:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 24.08/6.96 % (476681)Instruction limit reached!
% 24.08/6.96 % (476681)------------------------------
% 24.08/6.96 % (476681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476681)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476681)Termination reason: Instruction limit
% 24.08/6.96 % (476681)Termination phase: Saturation
% 24.08/6.96 % (476681)Time elapsed: 0.182 s
% 24.08/6.96 % (476681)Peak memory usage: 117 MB
% 24.08/6.96 % (476681)Instructions burned: 141 (million)
% 24.08/6.96 % (476683)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1583473052:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 24.08/6.96 % (476685)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3294152999:i=6060:aac=none:ins=25_2952 on theBenchmark for (2952ds/6060Mi)
% 24.08/6.96 % (476683)Instruction limit reached!
% 24.08/6.96 % (476683)------------------------------
% 24.08/6.96 % (476683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476683)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476683)Termination reason: Instruction limit
% 24.08/6.96 % (476683)Termination phase: Saturation
% 24.08/6.96 % (476683)Time elapsed: 0.459 s
% 24.08/6.96 % (476683)Peak memory usage: 120 MB
% 24.08/6.96 % (476683)Instructions burned: 432 (million)
% 24.08/6.96 % (476688)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1364070929:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2947 on theBenchmark for (2947ds/150Mi)
% 24.08/6.96 % (476633)First to succeed.
% 24.08/6.96 % (476633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-476625"
% 24.08/6.96 % (476688)Instruction limit reached!
% 24.08/6.96 % (476688)------------------------------
% 24.08/6.96 % (476688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.08/6.96 % (476688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/6.96 % (476688)CaDiCaL version: 2.1.3
% 24.08/6.96 % (476688)Termination reason: Instruction limit
% 24.08/6.96 % (476688)Termination phase: Preprocessing 1
% 24.08/6.96 % (476688)Time elapsed: 0.180 s
% 24.08/6.96 % (476688)Peak memory usage: 113 MB
% 24.08/6.96 % (476688)Instructions burned: 151 (million)
% 24.08/6.96 % (476633)Refutation found. Thanks to Tanya!
% 24.08/6.96 % SZS status Theorem for theBenchmark
% 24.08/6.96 % SZS output start Proof for theBenchmark
% See solution above
% 38.97/7.22 % (476633)------------------------------
% 38.97/7.22 % (476633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.97/7.22 % (476633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.97/7.22 % (476633)CaDiCaL version: 2.1.3
% 38.97/7.22 % (476633)Termination reason: Refutation
% 38.97/7.22 % (476633)Time elapsed: 4.545 s
% 38.97/7.22 % (476633)Peak memory usage: 215 MB
% 38.97/7.22 % (476633)Instructions burned: 4354 (million)
% 38.97/7.22 % (476633)------------------------------
% 38.97/7.22 % (476633)------------------------------
% 38.97/7.22 % (476625)Success in time 6.124 s
% 38.97/7.22 % Vampire exiting
%------------------------------------------------------------------------------