%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG231+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 : n012.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 09:19:30 AM UTC 2026
% Result : Theorem 10.61s 2.45s
% Output : Refutation 12.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 19 unt; 0 def)
% Number of atoms : 239 ( 20 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 284 ( 109 ~; 104 |; 46 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 141 ( 130 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
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(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f5245,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_pboole(X2,X0)
=> ! [X3] :
( m1_pboole(X3,X0)
=> ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( m1_pboole(X4,X0)
=> ( ( r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4) )
=> r2_pboole(X0,X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_pboole) ).
fof(f5394,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m4_pboole(X2,X0,X1)
=> m1_pboole(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m4_pboole) ).
fof(f14481,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> k6_closure2(X0,X1) = k1_closure2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_closure2) ).
fof(f16931,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> m4_pboole(k2_closure3(X0,X1,X2),X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_closure3) ).
fof(f16935,axiom,
! [X0,X1,X2,X3] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_closure3) ).
fof(f16957,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_closure3) ).
fof(f16958,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_closure3) ).
fof(f16959,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f16958]) ).
fof(f17018,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f16931]) ).
fof(f17019,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f17018]) ).
fof(f17026,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f16935]) ).
fof(f17027,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f17026]) ).
fof(f17064,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f16957]) ).
fof(f17065,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f16959]) ).
fof(f17066,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f17065]) ).
fof(f17112,plain,
! [X0,X1] :
( k6_closure2(X0,X1) = k1_closure2(X0,X1)
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f14481]) ).
fof(f17122,plain,
! [X0,X1] :
( ! [X2] :
( m1_pboole(X2,X0)
| ~ m4_pboole(X2,X0,X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f5394]) ).
fof(f17147,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f17674,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f5245]) ).
fof(f17675,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(flattening,[],[f17674]) ).
fof(f21000,plain,
( ~ r2_pboole(sK29,k2_closure3(sK29,sK30,sK31),k2_closure3(sK29,sK30,sK32))
& r1_tarski(sK31,sK32)
& m1_subset_1(sK32,k1_zfmisc_1(k1_closure2(sK29,sK30)))
& m1_subset_1(sK31,k1_zfmisc_1(k1_closure2(sK29,sK30)))
& m1_pboole(sK30,sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32]),skolemize(X0,sK29),skolemize(X1,sK30),skolemize(X2,sK31),skolemize(X3,sK32)],[f17066]) ).
fof(f21197,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f17675]) ).
fof(f21198,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(flattening,[],[f21197]) ).
fof(f21199,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X5] :
( r2_pboole(X0,X1,X5)
| ~ r2_pboole(X0,X2,X5)
| ~ r2_pboole(X0,X3,X5)
| ~ m1_pboole(X5,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f21198]) ).
fof(f21200,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ( ~ r2_pboole(X0,X1,sK150(X0,X1,X2,X3))
& r2_pboole(X0,X2,sK150(X0,X1,X2,X3))
& r2_pboole(X0,X3,sK150(X0,X1,X2,X3))
& m1_pboole(sK150(X0,X1,X2,X3),X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X5] :
( r2_pboole(X0,X1,X5)
| ~ r2_pboole(X0,X2,X5)
| ~ r2_pboole(X0,X3,X5)
| ~ m1_pboole(X5,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK150]),skolemize(X4,sK150(X0,X1,X2,X3))],[f21199]) ).
fof(f22282,plain,
! [X2,X0,X1] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f17019]) ).
fof(f22286,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X1,X0)
| k2_xboole_0(X2,X3) = k3_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f17027]) ).
fof(f22326,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))) ),
inference(cnf_transformation,[],[f17064]) ).
fof(f22327,plain,
m1_pboole(sK30,sK29),
inference(cnf_transformation,[],[f21000]) ).
fof(f22328,plain,
m1_subset_1(sK31,k1_zfmisc_1(k1_closure2(sK29,sK30))),
inference(cnf_transformation,[],[f21000]) ).
fof(f22329,plain,
m1_subset_1(sK32,k1_zfmisc_1(k1_closure2(sK29,sK30))),
inference(cnf_transformation,[],[f21000]) ).
fof(f22330,plain,
r1_tarski(sK31,sK32),
inference(cnf_transformation,[],[f21000]) ).
fof(f22331,plain,
~ r2_pboole(sK29,k2_closure3(sK29,sK30,sK31),k2_closure3(sK29,sK30,sK32)),
inference(cnf_transformation,[],[f21000]) ).
fof(f22383,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure2(X0,X1) = k6_closure2(X0,X1) ),
inference(cnf_transformation,[],[f17112]) ).
fof(f22401,plain,
! [X2,X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ m4_pboole(X2,X0,X1)
| m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f17122]) ).
fof(f22445,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f17147]) ).
fof(f22456,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f23165,plain,
! [X2,X3,X0,X1] :
( ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| r2_pboole(X0,X3,X1)
| ~ m1_pboole(X3,X0)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f21200]) ).
fof(f30594,plain,
k1_closure2(sK29,sK30) = k6_closure2(sK29,sK30),
inference(resolution,[],[f22383,f22327]) ).
fof(f30595,plain,
m1_subset_1(sK31,k1_zfmisc_1(k6_closure2(sK29,sK30))),
inference(superposition,[],[f22328,f30594]) ).
fof(f30596,plain,
m1_subset_1(sK32,k1_zfmisc_1(k6_closure2(sK29,sK30))),
inference(superposition,[],[f22329,f30594]) ).
fof(f30613,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = k3_closure3(sK29,sK30,X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK29,sK30)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK29,sK30))) ),
inference(resolution,[],[f22286,f22327]) ).
fof(f30614,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| k2_xboole_0(X0,X1) = k3_closure3(sK29,sK30,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK29,sK30))) ),
inference(forward_demodulation,[],[f30613,f30594]) ).
fof(f30615,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| k2_xboole_0(X0,X1) = k3_closure3(sK29,sK30,X0,X1) ),
inference(forward_demodulation,[],[f30614,f30594]) ).
fof(f30616,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| k2_xboole_0(sK32,X0) = k3_closure3(sK29,sK30,sK32,X0) ),
inference(resolution,[],[f30615,f30596]) ).
fof(f30624,plain,
k2_xboole_0(sK32,sK31) = k3_closure3(sK29,sK30,sK32,sK31),
inference(resolution,[],[f30616,f30595]) ).
fof(f30626,plain,
k2_xboole_0(sK31,sK32) = k3_closure3(sK29,sK30,sK32,sK31),
inference(forward_demodulation,[],[f30624,f22456]) ).
fof(f30628,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK29,sK30)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK29,sK30)))
| r6_pboole(sK29,k2_closure3(sK29,sK30,k3_closure3(sK29,sK30,X1,X0)),k2_pboole(sK29,k2_closure3(sK29,sK30,X1),k2_closure3(sK29,sK30,X0))) ),
inference(resolution,[],[f22326,f22327]) ).
fof(f30629,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK29,sK30)))
| r6_pboole(sK29,k2_closure3(sK29,sK30,k3_closure3(sK29,sK30,X1,X0)),k2_pboole(sK29,k2_closure3(sK29,sK30,X1),k2_closure3(sK29,sK30,X0))) ),
inference(forward_demodulation,[],[f30628,f30594]) ).
fof(f30630,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| r6_pboole(sK29,k2_closure3(sK29,sK30,k3_closure3(sK29,sK30,X1,X0)),k2_pboole(sK29,k2_closure3(sK29,sK30,X1),k2_closure3(sK29,sK30,X0))) ),
inference(forward_demodulation,[],[f30629,f30594]) ).
fof(f30632,plain,
! [X0] :
( ~ m4_pboole(X0,sK29,sK30)
| m1_pboole(X0,sK29) ),
inference(resolution,[],[f22401,f22327]) ).
fof(f30647,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| r6_pboole(sK29,k2_closure3(sK29,sK30,k3_closure3(sK29,sK30,X0,sK31)),k2_pboole(sK29,k2_closure3(sK29,sK30,X0),k2_closure3(sK29,sK30,sK31))) ),
inference(resolution,[],[f30630,f30595]) ).
fof(f30661,plain,
! [X0] :
( m1_pboole(k2_closure3(sK29,sK30,X0),sK29)
| ~ m1_pboole(sK30,sK29)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK29,sK30))) ),
inference(resolution,[],[f30632,f22282]) ).
fof(f30662,plain,
! [X0] :
( m1_pboole(k2_closure3(sK29,sK30,X0),sK29)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK29,sK30))) ),
inference(forward_subsumption_resolution,[],[f30661,f22327]) ).
fof(f30663,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK29,sK30)))
| m1_pboole(k2_closure3(sK29,sK30,X0),sK29) ),
inference(forward_demodulation,[],[f30662,f30594]) ).
fof(f30664,plain,
m1_pboole(k2_closure3(sK29,sK30,sK32),sK29),
inference(resolution,[],[f30663,f30596]) ).
fof(f30665,plain,
m1_pboole(k2_closure3(sK29,sK30,sK31),sK29),
inference(resolution,[],[f30663,f30595]) ).
fof(f31435,plain,
sK32 = k2_xboole_0(sK31,sK32),
inference(resolution,[],[f22445,f22330]) ).
fof(f31548,plain,
r6_pboole(sK29,k2_closure3(sK29,sK30,k3_closure3(sK29,sK30,sK32,sK31)),k2_pboole(sK29,k2_closure3(sK29,sK30,sK32),k2_closure3(sK29,sK30,sK31))),
inference(resolution,[],[f30647,f30596]) ).
fof(f31558,plain,
r6_pboole(sK29,k2_closure3(sK29,sK30,k2_xboole_0(sK31,sK32)),k2_pboole(sK29,k2_closure3(sK29,sK30,sK32),k2_closure3(sK29,sK30,sK31))),
inference(forward_demodulation,[],[f31548,f30626]) ).
fof(f31560,plain,
r6_pboole(sK29,k2_closure3(sK29,sK30,sK32),k2_pboole(sK29,k2_closure3(sK29,sK30,sK32),k2_closure3(sK29,sK30,sK31))),
inference(forward_demodulation,[],[f31558,f31435]) ).
fof(f31561,plain,
$false,
inference(unit_resulting_resolution,[],[f23165,f30664,f30664,f30665,f22331,f31560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG231+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 19:54:52 UTC 2026
% 0.09/0.11 % CPUTime :
% 0.09/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 9.74/2.09 % (3681439)Detected formulas, will run a generic FOF schedule.
% 9.74/2.09 % (3681451)dis-21_1_sil=8000:lcm=predicate:random_seed=2672219588:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 9.74/2.09 % (3681447)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=598310280:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 9.74/2.09 % (3681449)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=416480137:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 9.74/2.09 % (3681448)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3909992262:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 9.74/2.09 % (3681450)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4030578221:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 9.74/2.09 % (3681446)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=1384007329:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 9.74/2.10 % (3681445)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=3762943400:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 9.74/2.10 % (3681450)Instruction limit reached!
% 9.74/2.10 % (3681450)------------------------------
% 9.74/2.10 % (3681450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.10 % (3681450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.10 % (3681450)CaDiCaL version: 2.1.3
% 9.74/2.10 % (3681450)Termination reason: Instruction limit
% 9.74/2.10 % (3681450)Termination phase: Property scanning
% 9.74/2.10 % (3681450)Time elapsed: 0.033 s
% 9.74/2.10 % (3681450)Peak memory usage: 108 MB
% 9.74/2.10 % (3681450)Instructions burned: 141 (million)
% 9.74/2.10 % (3681451)Instruction limit reached!
% 9.74/2.10 % (3681451)------------------------------
% 9.74/2.10 % (3681451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.10 % (3681451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.10 % (3681451)CaDiCaL version: 2.1.3
% 9.74/2.10 % (3681451)Termination reason: Instruction limit
% 9.74/2.10 % (3681451)Termination phase: SInE selection
% 9.74/2.10 % (3681451)Time elapsed: 0.047 s
% 9.74/2.10 % (3681451)Peak memory usage: 108 MB
% 9.74/2.10 % (3681451)Instructions burned: 131 (million)
% 9.74/2.10 % (3681448)Instruction limit reached!
% 9.74/2.10 % (3681448)------------------------------
% 9.74/2.10 % (3681448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.10 % (3681448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.10 % (3681448)CaDiCaL version: 2.1.3
% 9.74/2.10 % (3681448)Termination reason: Instruction limit
% 9.74/2.10 % (3681448)Termination phase: Saturation
% 9.74/2.10 % (3681448)Time elapsed: 0.053 s
% 9.74/2.10 % (3681448)Peak memory usage: 112 MB
% 9.74/2.10 % (3681448)Instructions burned: 111 (million)
% 9.74/2.10 % (3681449)Instruction limit reached!
% 9.74/2.10 % (3681449)------------------------------
% 9.74/2.10 % (3681449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.10 % (3681449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.10 % (3681449)CaDiCaL version: 2.1.3
% 9.74/2.10 % (3681449)Termination reason: Instruction limit
% 9.74/2.10 % (3681449)Termination phase: Naming
% 9.74/2.10 % (3681449)Time elapsed: 0.061 s
% 9.74/2.10 % (3681449)Peak memory usage: 110 MB
% 9.74/2.10 % (3681449)Instructions burned: 119 (million)
% 9.74/2.10 % (3681459)lrs+10_1_sil=8000:sp=occurrence:random_seed=1049957445:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 9.74/2.10 % (3681460)lrs+10_1_sil=32000:urr=on:br=off:random_seed=875793891:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 9.74/2.10 % (3681461)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4269774820:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 9.74/2.10 % (3681462)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=1807028772:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 9.74/2.10 % (3681460)Instruction limit reached!
% 10.61/2.44 % (3681460)------------------------------
% 10.61/2.44 % (3681460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681460)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681460)Termination reason: Instruction limit
% 10.61/2.44 % (3681460)Termination phase: Property scanning
% 10.61/2.44 % (3681460)Time elapsed: 0.039 s
% 10.61/2.44 % (3681460)Peak memory usage: 108 MB
% 10.61/2.44 % (3681460)Instructions burned: 158 (million)
% 10.61/2.44 % (3681462)Instruction limit reached!
% 10.61/2.44 % (3681462)------------------------------
% 10.61/2.44 % (3681462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681462)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681462)Termination reason: Instruction limit
% 10.61/2.44 % (3681462)Termination phase: SInE selection
% 10.61/2.44 % (3681462)Time elapsed: 0.063 s
% 10.61/2.44 % (3681462)Peak memory usage: 108 MB
% 10.61/2.44 % (3681462)Instructions burned: 248 (million)
% 10.61/2.44 % (3681459)Instruction limit reached!
% 10.61/2.44 % (3681459)------------------------------
% 10.61/2.44 % (3681459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681459)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681459)Termination reason: Instruction limit
% 10.61/2.44 % (3681459)Termination phase: Saturation
% 10.61/2.44 % (3681459)Time elapsed: 0.119 s
% 10.61/2.44 % (3681459)Peak memory usage: 116 MB
% 10.61/2.44 % (3681459)Instructions burned: 285 (million)
% 10.61/2.44 % (3681467)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3504381591:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 10.61/2.44 % (3681461)Instruction limit reached!
% 10.61/2.44 % (3681461)------------------------------
% 10.61/2.44 % (3681461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681461)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681461)Termination reason: Instruction limit
% 10.61/2.44 % (3681461)Termination phase: Saturation
% 10.61/2.44 % (3681461)Time elapsed: 0.142 s
% 10.61/2.44 % (3681461)Peak memory usage: 114 MB
% 10.61/2.44 % (3681461)Instructions burned: 326 (million)
% 10.61/2.44 % (3681468)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=176671513:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.61/2.44 % (3681469)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=407650809:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.61/2.44 % (3681467)Instruction limit reached!
% 10.61/2.44 % (3681467)------------------------------
% 10.61/2.44 % (3681467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681467)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681467)Termination reason: Instruction limit
% 10.61/2.44 % (3681467)Termination phase: Saturation
% 10.61/2.44 % (3681467)Time elapsed: 0.115 s
% 10.61/2.44 % (3681467)Peak memory usage: 116 MB
% 10.61/2.44 % (3681467)Instructions burned: 297 (million)
% 10.61/2.44 % (3681471)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3856731010:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.61/2.44 % (3681469)Instruction limit reached!
% 10.61/2.44 % (3681469)------------------------------
% 10.61/2.44 % (3681469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681469)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681469)Termination reason: Instruction limit
% 10.61/2.44 % (3681469)Termination phase: Preprocessing 1
% 10.61/2.44 % (3681469)Time elapsed: 0.058 s
% 10.61/2.44 % (3681469)Peak memory usage: 109 MB
% 10.61/2.44 % (3681469)Instructions burned: 113 (million)
% 10.61/2.44 % (3681471)Instruction limit reached!
% 10.61/2.44 % (3681471)------------------------------
% 10.61/2.44 % (3681471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681471)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681471)Termination reason: Instruction limit
% 10.61/2.44 % (3681471)Termination phase: Preprocessing 1
% 10.61/2.44 % (3681471)Time elapsed: 0.053 s
% 10.61/2.44 % (3681471)Peak memory usage: 108 MB
% 10.61/2.44 % (3681471)Instructions burned: 127 (million)
% 10.61/2.44 % (3681474)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2014700240:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.61/2.44 % (3681476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2299455232:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.61/2.44 % (3681474)Instruction limit reached!
% 10.61/2.44 % (3681474)------------------------------
% 10.61/2.44 % (3681474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681474)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681474)Termination reason: Instruction limit
% 10.61/2.44 % (3681474)Termination phase: Property scanning
% 10.61/2.44 % (3681474)Time elapsed: 0.028 s
% 10.61/2.44 % (3681474)Peak memory usage: 108 MB
% 10.61/2.44 % (3681474)Instructions burned: 118 (million)
% 10.61/2.44 % (3681477)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3606861364:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.61/2.44 % (3681480)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2390599336:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.61/2.44 % (3681477)Instruction limit reached!
% 10.61/2.44 % (3681477)------------------------------
% 10.61/2.44 % (3681477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681477)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681477)Termination reason: Instruction limit
% 10.61/2.44 % (3681477)Termination phase: Saturation
% 10.61/2.44 % (3681477)Time elapsed: 0.173 s
% 10.61/2.44 % (3681477)Peak memory usage: 116 MB
% 10.61/2.44 % (3681477)Instructions burned: 437 (million)
% 10.61/2.44 % (3681476)Instruction limit reached!
% 10.61/2.44 % (3681476)------------------------------
% 10.61/2.44 % (3681476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681476)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681476)Termination reason: Instruction limit
% 10.61/2.44 % (3681476)Termination phase: Saturation
% 10.61/2.44 % (3681476)Time elapsed: 0.311 s
% 10.61/2.44 % (3681476)Peak memory usage: 126 MB
% 10.61/2.44 % (3681476)Instructions burned: 908 (million)
% 10.61/2.44 % (3681483)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3017383115:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 10.61/2.44 % (3681484)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=698705070:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.61/2.44 % (3681483)Instruction limit reached!
% 10.61/2.44 % (3681483)------------------------------
% 10.61/2.44 % (3681483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.44 % (3681483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.44 % (3681483)CaDiCaL version: 2.1.3
% 10.61/2.44 % (3681483)Termination reason: Instruction limit
% 10.61/2.45 % (3681483)Termination phase: Property scanning
% 10.61/2.45 % (3681483)Time elapsed: 0.071 s
% 10.61/2.45 % (3681483)Peak memory usage: 111 MB
% 10.61/2.45 % (3681483)Instructions burned: 136 (million)
% 10.61/2.45 % (3681468)Instruction limit reached!
% 10.61/2.45 % (3681468)------------------------------
% 10.61/2.45 % (3681468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.45 % (3681468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.45 % (3681468)CaDiCaL version: 2.1.3
% 10.61/2.45 % (3681468)Termination reason: Instruction limit
% 10.61/2.45 % (3681468)Termination phase: Saturation
% 10.61/2.45 % (3681468)Time elapsed: 0.744 s
% 10.61/2.45 % (3681468)Peak memory usage: 173 MB
% 10.61/2.45 % (3681468)Instructions burned: 2352 (million)
% 10.61/2.45 % (3681487)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=173971593:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 10.61/2.45 % (3681488)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=3927002410:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 10.61/2.45 % (3681484)Instruction limit reached!
% 10.61/2.45 % (3681484)------------------------------
% 10.61/2.45 % (3681484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.45 % (3681484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.45 % (3681484)CaDiCaL version: 2.1.3
% 10.61/2.45 % (3681484)Termination reason: Instruction limit
% 10.61/2.45 % (3681484)Termination phase: Clausification
% 10.61/2.45 % (3681484)Time elapsed: 0.263 s
% 10.61/2.45 % (3681484)Peak memory usage: 131 MB
% 10.61/2.45 % (3681484)Instructions burned: 592 (million)
% 10.61/2.45 % (3681488)Instruction limit reached!
% 10.61/2.45 % (3681488)------------------------------
% 10.61/2.45 % (3681488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.45 % (3681488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.45 % (3681488)CaDiCaL version: 2.1.3
% 10.61/2.45 % (3681488)Termination reason: Instruction limit
% 10.61/2.45 % (3681488)Termination phase: Property scanning
% 10.61/2.45 % (3681488)Time elapsed: 0.031 s
% 10.61/2.45 % (3681488)Peak memory usage: 108 MB
% 10.61/2.45 % (3681488)Instructions burned: 129 (million)
% 10.61/2.45 % (3681446)First to succeed.
% 10.61/2.45 % (3681446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3681439"
% 10.61/2.45 % (3681491)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1794457414:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 10.61/2.45 % (3681492)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1762922535:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 10.61/2.45 % (3681491)Instruction limit reached!
% 10.61/2.45 % (3681491)------------------------------
% 10.61/2.45 % (3681491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.45 % (3681491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.45 % (3681491)CaDiCaL version: 2.1.3
% 10.61/2.45 % (3681491)Termination reason: Instruction limit
% 10.61/2.45 % (3681491)Termination phase: Property scanning
% 10.61/2.45 % (3681491)Time elapsed: 0.033 s
% 10.61/2.45 % (3681491)Peak memory usage: 108 MB
% 10.61/2.45 % (3681491)Instructions burned: 138 (million)
% 10.61/2.45 % (3681492)Instruction limit reached!
% 10.61/2.45 % (3681492)------------------------------
% 10.61/2.45 % (3681492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.61/2.45 % (3681492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.61/2.45 % (3681492)CaDiCaL version: 2.1.3
% 10.61/2.45 % (3681492)Termination reason: Instruction limit
% 10.61/2.45 % (3681492)Termination phase: Saturation
% 10.61/2.45 % (3681492)Time elapsed: 0.066 s
% 10.61/2.45 % (3681492)Peak memory usage: 113 MB
% 10.61/2.45 % (3681492)Instructions burned: 142 (million)
% 10.61/2.45 % (3681446)Refutation found. Thanks to Tanya!
% 10.61/2.45 % SZS status Theorem for theBenchmark
% 10.61/2.45 % SZS output start Proof for theBenchmark
% See solution above
% 12.68/2.54 % (3681446)------------------------------
% 12.68/2.54 % (3681446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.54 % (3681446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.54 % (3681446)CaDiCaL version: 2.1.3
% 12.68/2.54 % (3681446)Termination reason: Refutation
% 12.68/2.54 % (3681446)Time elapsed: 1.399 s
% 12.68/2.54 % (3681446)Peak memory usage: 230 MB
% 12.68/2.54 % (3681446)Instructions burned: 3987 (million)
% 12.68/2.54 % (3681446)------------------------------
% 12.68/2.54 % (3681446)------------------------------
% 12.68/2.54 % (3681439)Success in time 2.115 s
% 12.68/2.54 % Vampire exiting
%------------------------------------------------------------------------------