%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU437+3 : 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 12:49:03 PM UTC 2026
% Result : Theorem 22.92s 4.29s
% Output : Refutation 23.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 82 ( 30 unt; 0 def)
% Number of atoms : 195 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 193 ( 80 ~; 74 |; 17 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-4 aty)
% Number of variables : 165 ( 155 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,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(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t42_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t12_setfam_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(f19105,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)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_relset_2) ).
fof(f19111,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_2) ).
fof(f19112,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19111]) ).
fof(f19166,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(f19167,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,[],[f19166]) ).
fof(f19168,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(f19169,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,[],[f19168]) ).
fof(f19212,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f19105]) ).
fof(f19221,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f19112]) ).
fof(f19222,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f19221]) ).
fof(f19246,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f19556,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(f19557,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,[],[f19556]) ).
fof(f19562,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(f19563,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,[],[f19562]) ).
fof(f20534,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(f20542,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(f21831,plain,
( ~ r1_tarski(k8_relset_2(sK18,sK19,sK20,sK21),k8_relset_2(sK18,sK19,sK20,sK22))
& r1_tarski(sK21,sK22)
& m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
& m1_subset_1(sK21,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
& 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)],[f19222]) ).
fof(f22343,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,[],[f20542]) ).
fof(f22759,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,[],[f19167]) ).
fof(f22760,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,[],[f19169]) ).
fof(f22815,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f19212]) ).
fof(f22821,plain,
m1_subset_1(sK20,k1_zfmisc_1(sK18)),
inference(cnf_transformation,[],[f21831]) ).
fof(f22822,plain,
m1_subset_1(sK21,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))),
inference(cnf_transformation,[],[f21831]) ).
fof(f22823,plain,
m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))),
inference(cnf_transformation,[],[f21831]) ).
fof(f22824,plain,
r1_tarski(sK21,sK22),
inference(cnf_transformation,[],[f21831]) ).
fof(f22825,plain,
~ r1_tarski(k8_relset_2(sK18,sK19,sK20,sK21),k8_relset_2(sK18,sK19,sK20,sK22)),
inference(cnf_transformation,[],[f21831]) ).
fof(f22852,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f19246]) ).
fof(f22864,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f23255,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f23329,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,[],[f19557]) ).
fof(f23332,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(X0)) ),
inference(cnf_transformation,[],[f19563]) ).
fof(f24894,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,[],[f20534]) ).
fof(f24900,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,[],[f22343]) ).
fof(f26607,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k1_setfam_1(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f602]) ).
fof(f26758,plain,
! [X0,X1] :
( k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0
| ~ r1_tarski(X0,X1) ),
inference(definition_unfolding,[],[f22852,f23255]) ).
fof(f26770,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f22864,f23255,f23255]) ).
fof(f26962,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,[],[f23329,f23255]) ).
fof(f27781,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X0,X1)),
inference(definition_unfolding,[],[f26607,f23255]) ).
fof(f28464,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,[],[f26962,f27781]) ).
fof(f28518,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(forward_demodulation,[],[f26770,f27781]) ).
fof(f28528,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k1_setfam_1(k2_tarski(X0,X1)) = X0 ),
inference(forward_demodulation,[],[f26758,f27781]) ).
fof(f28722,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,[],[f22760,f22823]) ).
fof(f28723,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK18))
| k8_relset_2(sK18,sK19,X0,sK21) = k7_relset_2(sK18,sK19,X0,sK21) ),
inference(resolution,[],[f22760,f22822]) ).
fof(f28725,plain,
k8_relset_2(sK18,sK19,sK20,sK22) = k7_relset_2(sK18,sK19,sK20,sK22),
inference(resolution,[],[f28722,f22821]) ).
fof(f28727,plain,
~ r1_tarski(k8_relset_2(sK18,sK19,sK20,sK21),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(superposition,[],[f22825,f28725]) ).
fof(f28730,plain,
( m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK22),k1_zfmisc_1(sK19))
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18))
| ~ m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(superposition,[],[f22759,f28725]) ).
fof(f28731,plain,
( m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK22),k1_zfmisc_1(sK19))
| ~ m1_subset_1(sK22,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(forward_subsumption_resolution,[],[f28730,f22821]) ).
fof(f28734,plain,
m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK22),k1_zfmisc_1(sK19)),
inference(forward_subsumption_resolution,[],[f28731,f22823]) ).
fof(f28738,plain,
k8_relset_2(sK18,sK19,sK20,sK21) = k7_relset_2(sK18,sK19,sK20,sK21),
inference(resolution,[],[f28723,f22821]) ).
fof(f28743,plain,
( m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK21),k1_zfmisc_1(sK19))
| ~ m1_subset_1(sK20,k1_zfmisc_1(sK18))
| ~ m1_subset_1(sK21,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(superposition,[],[f22759,f28738]) ).
fof(f28744,plain,
( m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK21),k1_zfmisc_1(sK19))
| ~ m1_subset_1(sK21,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(forward_subsumption_resolution,[],[f28743,f22821]) ).
fof(f28748,plain,
m1_subset_1(k7_relset_2(sK18,sK19,sK20,sK21),k1_zfmisc_1(sK19)),
inference(forward_subsumption_resolution,[],[f28744,f22822]) ).
fof(f28865,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
inference(resolution,[],[f24894,f24900]) ).
fof(f28868,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X2)
| ~ m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
inference(duplicate_literal_removal,[],[f28865]) ).
fof(f28869,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X2) ),
inference(forward_subsumption_resolution,[],[f28868,f23332]) ).
fof(f28920,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sK18))
| k8_relset_2(sK18,sK19,X1,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,X0)) = k5_subset_1(sK19,k8_relset_2(sK18,sK19,X1,sK22),k8_relset_2(sK18,sK19,X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(resolution,[],[f22815,f22823]) ).
fof(f28929,plain,
! [X0] :
( k8_relset_2(sK18,sK19,sK20,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,X0)) = k5_subset_1(sK19,k8_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,sK20,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19))) ),
inference(resolution,[],[f28920,f22821]) ).
fof(f28933,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
| k8_relset_2(sK18,sK19,sK20,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,X0)) = k5_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,sK20,X0)) ),
inference(forward_demodulation,[],[f28929,f28725]) ).
fof(f28935,plain,
k8_relset_2(sK18,sK19,sK20,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,sK21)) = k5_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k8_relset_2(sK18,sK19,sK20,sK21)),
inference(resolution,[],[f28933,f22822]) ).
fof(f28938,plain,
k8_relset_2(sK18,sK19,sK20,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,sK21)) = k5_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK20,sK21)),
inference(forward_demodulation,[],[f28935,f28738]) ).
fof(f29113,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK19))
| r1_tarski(k5_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),X0),k7_relset_2(sK18,sK19,sK20,sK22)) ),
inference(resolution,[],[f28869,f28734]) ).
fof(f30959,plain,
! [X0,X1] : k1_setfam_1(k2_tarski(X0,X1)) = k1_setfam_1(k2_tarski(X1,X0)),
inference(superposition,[],[f28518,f27781]) ).
fof(f31132,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK18,sK19)))
| k1_setfam_1(k2_tarski(X0,sK21)) = k5_subset_1(k2_zfmisc_1(sK18,sK19),X0,sK21) ),
inference(resolution,[],[f28464,f22822]) ).
fof(f31203,plain,
k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,sK21) = k1_setfam_1(k2_tarski(sK22,sK21)),
inference(resolution,[],[f31132,f22823]) ).
fof(f31215,plain,
k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,sK21) = k1_setfam_1(k2_tarski(sK21,sK22)),
inference(forward_demodulation,[],[f31203,f30959]) ).
fof(f32015,plain,
r1_tarski(k5_subset_1(sK19,k7_relset_2(sK18,sK19,sK20,sK22),k7_relset_2(sK18,sK19,sK20,sK21)),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(resolution,[],[f29113,f28748]) ).
fof(f32020,plain,
r1_tarski(k8_relset_2(sK18,sK19,sK20,k5_subset_1(k2_zfmisc_1(sK18,sK19),sK22,sK21)),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(forward_demodulation,[],[f32015,f28938]) ).
fof(f32023,plain,
r1_tarski(k8_relset_2(sK18,sK19,sK20,k1_setfam_1(k2_tarski(sK21,sK22))),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(forward_demodulation,[],[f32020,f31215]) ).
fof(f32740,plain,
sK21 = k1_setfam_1(k2_tarski(sK21,sK22)),
inference(resolution,[],[f28528,f22824]) ).
fof(f33137,plain,
r1_tarski(k8_relset_2(sK18,sK19,sK20,sK21),k7_relset_2(sK18,sK19,sK20,sK22)),
inference(superposition,[],[f32023,f32740]) ).
fof(f33138,plain,
$false,
inference(forward_subsumption_resolution,[],[f33137,f28727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU437+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 05:26:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 11.13/2.73 % (2070367)Detected formulas, will run a generic FOF schedule.
% 11.13/2.73 % (2070377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2463449621:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.13/2.73 % (2070373)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=1974279291:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.13/2.73 % (2070375)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3488831044:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.13/2.73 % (2070378)dis-21_1_sil=8000:lcm=predicate:random_seed=3649371787:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.13/2.73 % (2070376)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2863154565:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.13/2.73 % (2070374)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=929401296:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.13/2.73 % (2070372)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=3287159593:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.13/2.73 % (2070377)Instruction limit reached!
% 11.13/2.73 % (2070377)------------------------------
% 11.13/2.73 % (2070377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.73 % (2070377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.73 % (2070377)CaDiCaL version: 2.1.3
% 11.13/2.73 % (2070377)Termination reason: Instruction limit
% 11.13/2.73 % (2070377)Termination phase: Property scanning
% 11.13/2.73 % (2070377)Time elapsed: 0.060 s
% 11.13/2.73 % (2070377)Peak memory usage: 112 MB
% 11.13/2.73 % (2070377)Instructions burned: 140 (million)
% 11.13/2.73 % (2070375)Instruction limit reached!
% 11.13/2.73 % (2070375)------------------------------
% 11.13/2.73 % (2070375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.73 % (2070375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.73 % (2070375)CaDiCaL version: 2.1.3
% 11.13/2.73 % (2070375)Termination reason: Instruction limit
% 11.13/2.73 % (2070375)Termination phase: SInE selection
% 11.13/2.73 % (2070375)Time elapsed: 0.082 s
% 11.13/2.73 % (2070375)Peak memory usage: 112 MB
% 11.13/2.73 % (2070375)Instructions burned: 109 (million)
% 11.13/2.73 % (2070378)Instruction limit reached!
% 11.13/2.73 % (2070378)------------------------------
% 11.13/2.73 % (2070378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.73 % (2070378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.73 % (2070378)CaDiCaL version: 2.1.3
% 11.13/2.73 % (2070378)Termination reason: Instruction limit
% 11.13/2.73 % (2070378)Termination phase: SInE selection
% 11.13/2.73 % (2070378)Time elapsed: 0.084 s
% 11.13/2.73 % (2070378)Peak memory usage: 112 MB
% 11.13/2.73 % (2070378)Instructions burned: 129 (million)
% 11.13/2.73 % (2070376)Instruction limit reached!
% 11.13/2.73 % (2070376)------------------------------
% 11.13/2.73 % (2070376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.73 % (2070376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.73 % (2070376)CaDiCaL version: 2.1.3
% 11.13/2.73 % (2070376)Termination reason: Instruction limit
% 11.13/2.73 % (2070376)Termination phase: Preprocessing 1
% 11.13/2.73 % (2070376)Time elapsed: 0.098 s
% 11.13/2.73 % (2070376)Peak memory usage: 113 MB
% 11.13/2.73 % (2070376)Instructions burned: 119 (million)
% 11.13/2.73 % (2070386)lrs+10_1_sil=8000:sp=occurrence:random_seed=4043921338:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.13/2.73 % (2070387)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3694393071:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.13/2.73 % (2070388)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1345723764:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.13/2.73 % (2070389)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=4134469941:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.13/2.73 % (2070387)Instruction limit reached!
% 15.62/3.28 % (2070387)------------------------------
% 15.62/3.28 % (2070387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070387)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070387)Termination reason: Instruction limit
% 15.62/3.28 % (2070387)Termination phase: Property scanning
% 15.62/3.28 % (2070387)Time elapsed: 0.067 s
% 15.62/3.28 % (2070387)Peak memory usage: 112 MB
% 15.62/3.28 % (2070387)Instructions burned: 159 (million)
% 15.62/3.28 % (2070389)Instruction limit reached!
% 15.62/3.28 % (2070389)------------------------------
% 15.62/3.28 % (2070389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070389)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070389)Termination reason: Instruction limit
% 15.62/3.28 % (2070389)Termination phase: Property scanning
% 15.62/3.28 % (2070389)Time elapsed: 0.108 s
% 15.62/3.28 % (2070389)Peak memory usage: 112 MB
% 15.62/3.28 % (2070389)Instructions burned: 249 (million)
% 15.62/3.28 % (2070386)Instruction limit reached!
% 15.62/3.28 % (2070386)------------------------------
% 15.62/3.28 % (2070386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070386)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070386)Termination reason: Instruction limit
% 15.62/3.28 % (2070386)Termination phase: Saturation
% 15.62/3.28 % (2070386)Time elapsed: 0.207 s
% 15.62/3.28 % (2070386)Peak memory usage: 119 MB
% 15.62/3.28 % (2070386)Instructions burned: 285 (million)
% 15.62/3.28 % (2070394)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2908144640:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 15.62/3.28 % (2070395)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1087218943:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 15.62/3.28 % (2070388)Instruction limit reached!
% 15.62/3.28 % (2070388)------------------------------
% 15.62/3.28 % (2070388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070388)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070388)Termination reason: Instruction limit
% 15.62/3.28 % (2070388)Termination phase: Saturation
% 15.62/3.28 % (2070388)Time elapsed: 0.249 s
% 15.62/3.28 % (2070388)Peak memory usage: 119 MB
% 15.62/3.28 % (2070388)Instructions burned: 325 (million)
% 15.62/3.28 % (2070396)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2719608887:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 15.62/3.28 % (2070399)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3805336725:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 15.62/3.28 % (2070394)Instruction limit reached!
% 15.62/3.28 % (2070394)------------------------------
% 15.62/3.28 % (2070394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070394)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070394)Termination reason: Instruction limit
% 15.62/3.28 % (2070394)Termination phase: Saturation
% 15.62/3.28 % (2070394)Time elapsed: 0.220 s
% 15.62/3.28 % (2070394)Peak memory usage: 120 MB
% 15.62/3.28 % (2070394)Instructions burned: 294 (million)
% 15.62/3.28 % (2070396)Instruction limit reached!
% 15.62/3.28 % (2070396)------------------------------
% 15.62/3.28 % (2070396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070396)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070396)Termination reason: Instruction limit
% 15.62/3.28 % (2070396)Termination phase: SInE selection
% 15.62/3.28 % (2070396)Time elapsed: 0.093 s
% 15.62/3.28 % (2070396)Peak memory usage: 112 MB
% 15.62/3.28 % (2070396)Instructions burned: 114 (million)
% 15.62/3.28 % (2070399)Instruction limit reached!
% 15.62/3.28 % (2070399)------------------------------
% 15.62/3.28 % (2070399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/3.28 % (2070399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/3.28 % (2070399)CaDiCaL version: 2.1.3
% 15.62/3.28 % (2070399)Termination reason: Instruction limit
% 22.92/4.29 % (2070399)Termination phase: Preprocessing 1
% 22.92/4.29 % (2070399)Time elapsed: 0.090 s
% 22.92/4.29 % (2070399)Peak memory usage: 113 MB
% 22.92/4.29 % (2070399)Instructions burned: 127 (million)
% 22.92/4.29 % (2070403)lrs+10_1_sil=8000:sp=occurrence:random_seed=2705596388:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 22.92/4.29 % (2070402)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2832937197:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 22.92/4.29 % (2070402)Instruction limit reached!
% 22.92/4.29 % (2070402)------------------------------
% 22.92/4.29 % (2070402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070402)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070402)Termination reason: Instruction limit
% 22.92/4.29 % (2070402)Termination phase: Property scanning
% 22.92/4.29 % (2070402)Time elapsed: 0.051 s
% 22.92/4.29 % (2070402)Peak memory usage: 112 MB
% 22.92/4.29 % (2070402)Instructions burned: 116 (million)
% 22.92/4.29 % (2070404)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=271353528:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 22.92/4.29 % (2070407)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4092534035:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 22.92/4.29 % (2070404)Instruction limit reached!
% 22.92/4.29 % (2070404)------------------------------
% 22.92/4.29 % (2070404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070404)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070404)Termination reason: Instruction limit
% 22.92/4.29 % (2070404)Termination phase: Saturation
% 22.92/4.29 % (2070404)Time elapsed: 0.307 s
% 22.92/4.29 % (2070404)Peak memory usage: 121 MB
% 22.92/4.29 % (2070404)Instructions burned: 437 (million)
% 22.92/4.29 % (2070395)Instruction limit reached!
% 22.92/4.29 % (2070395)------------------------------
% 22.92/4.29 % (2070395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070395)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070395)Termination reason: Instruction limit
% 22.92/4.29 % (2070395)Termination phase: Property scanning
% 22.92/4.29 % (2070395)Time elapsed: 0.739 s
% 22.92/4.29 % (2070395)Peak memory usage: 171 MB
% 22.92/4.29 % (2070395)Instructions burned: 2352 (million)
% 22.92/4.29 % (2070410)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2065674853:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 22.92/4.29 % (2070411)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2609266081:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 22.92/4.29 % (2070410)Instruction limit reached!
% 22.92/4.29 % (2070410)------------------------------
% 22.92/4.29 % (2070410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070410)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070410)Termination reason: Instruction limit
% 22.92/4.29 % (2070410)Termination phase: NewCNF
% 22.92/4.29 % (2070410)Time elapsed: 0.116 s
% 22.92/4.29 % (2070410)Peak memory usage: 115 MB
% 22.92/4.29 % (2070410)Instructions burned: 135 (million)
% 22.92/4.29 % (2070403)Instruction limit reached!
% 22.92/4.29 % (2070403)------------------------------
% 22.92/4.29 % (2070403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070403)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070403)Termination reason: Instruction limit
% 22.92/4.29 % (2070403)Termination phase: Saturation
% 22.92/4.29 % (2070403)Time elapsed: 0.649 s
% 22.92/4.29 % (2070403)Peak memory usage: 129 MB
% 22.92/4.29 % (2070403)Instructions burned: 907 (million)
% 22.92/4.29 % (2070414)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=51420840:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 22.92/4.29 % (2070415)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=3547702443:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 22.92/4.29 % (2070411)Instruction limit reached!
% 22.92/4.29 % (2070411)------------------------------
% 22.92/4.29 % (2070411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070411)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070411)Termination reason: Instruction limit
% 22.92/4.29 % (2070411)Termination phase: Preprocessing 3
% 22.92/4.29 % (2070411)Time elapsed: 0.256 s
% 22.92/4.29 % (2070411)Peak memory usage: 133 MB
% 22.92/4.29 % (2070411)Instructions burned: 593 (million)
% 22.92/4.29 % (2070415)Instruction limit reached!
% 22.92/4.29 % (2070415)------------------------------
% 22.92/4.29 % (2070415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070415)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070415)Termination reason: Instruction limit
% 22.92/4.29 % (2070415)Termination phase: Property scanning
% 22.92/4.29 % (2070415)Time elapsed: 0.057 s
% 22.92/4.29 % (2070415)Peak memory usage: 112 MB
% 22.92/4.29 % (2070415)Instructions burned: 125 (million)
% 22.92/4.29 % (2070418)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=265097059:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 22.92/4.29 % (2070418)Instruction limit reached!
% 22.92/4.29 % (2070418)------------------------------
% 22.92/4.29 % (2070418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070418)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070418)Termination reason: Instruction limit
% 22.92/4.29 % (2070418)Termination phase: Property scanning
% 22.92/4.29 % (2070418)Time elapsed: 0.032 s
% 22.92/4.29 % (2070418)Peak memory usage: 112 MB
% 22.92/4.29 % (2070418)Instructions burned: 135 (million)
% 22.92/4.29 % (2070419)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2451221659:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 22.92/4.29 % (2070421)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=687570611:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 22.92/4.29 % (2070419)Instruction limit reached!
% 22.92/4.29 % (2070419)------------------------------
% 22.92/4.29 % (2070419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070419)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070419)Termination reason: Instruction limit
% 22.92/4.29 % (2070419)Termination phase: Saturation
% 22.92/4.29 % (2070419)Time elapsed: 0.118 s
% 22.92/4.29 % (2070419)Peak memory usage: 117 MB
% 22.92/4.29 % (2070419)Instructions burned: 141 (million)
% 22.92/4.29 % (2070421)Instruction limit reached!
% 22.92/4.29 % (2070421)------------------------------
% 22.92/4.29 % (2070421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070421)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070421)Termination reason: Instruction limit
% 22.92/4.29 % (2070421)Termination phase: Saturation
% 22.92/4.29 % (2070421)Time elapsed: 0.163 s
% 22.92/4.29 % (2070421)Peak memory usage: 120 MB
% 22.92/4.29 % (2070421)Instructions burned: 434 (million)
% 22.92/4.29 % (2070424)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=1184150861:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 22.92/4.29 % (2070425)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=1068636235:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 22.92/4.29 % (2070425)Instruction limit reached!
% 22.92/4.29 % (2070425)------------------------------
% 22.92/4.29 % (2070425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.92/4.29 % (2070425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/4.29 % (2070425)CaDiCaL version: 2.1.3
% 22.92/4.29 % (2070425)Termination reason: Instruction limit
% 22.92/4.29 % (2070425)Termination phase: Preprocessing 1
% 22.92/4.29 % (2070425)Time elapsed: 0.069 s
% 22.92/4.29 % (2070425)Peak memory usage: 113 MB
% 22.92/4.29 % (2070425)Instructions burned: 150 (million)
% 22.92/4.29 % (2070428)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1642460267:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 22.92/4.29 % (2070373)First to succeed.
% 22.92/4.29 % (2070373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2070367"
% 22.92/4.29 % (2070373)Refutation found. Thanks to Tanya!
% 22.92/4.29 % SZS status Theorem for theBenchmark
% 22.92/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 23.56/4.49 % (2070373)------------------------------
% 23.56/4.49 % (2070373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.56/4.49 % (2070373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.56/4.49 % (2070373)CaDiCaL version: 2.1.3
% 23.56/4.49 % (2070373)Termination reason: Refutation
% 23.56/4.49 % (2070373)Time elapsed: 2.774 s
% 23.56/4.49 % (2070373)Peak memory usage: 216 MB
% 23.56/4.49 % (2070373)Instructions burned: 4240 (million)
% 23.56/4.49 % (2070373)------------------------------
% 23.56/4.49 % (2070373)------------------------------
% 23.56/4.49 % (2070367)Success in time 3.688 s
% 23.56/4.49 % Vampire exiting
%------------------------------------------------------------------------------