%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU435+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:49:02 PM UTC 2026
% Result : Theorem 12.29s 2.89s
% Output : Refutation 13.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 14 unt; 4 def)
% Number of atoms : 285 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 332 ( 135 ~; 141 |; 33 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-6 aty)
% Number of variables : 216 ( 0 sgn 203 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f334,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f343,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f540,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f4453,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
& m1_subset_1(X6,k1_zfmisc_1(X4)) )
=> ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
<=> ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& X0 = k8_relset_2(X4,X5,X6,X7)
& r2_hidden(X7,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_6_0_relset_2) ).
fof(f4467,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(f4510,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_relset_2) ).
fof(f4511,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
inference(negated_conjecture,[status(cth)],[f4510]) ).
fof(f4530,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
<=> ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& X0 = k8_relset_2(X4,X5,X6,X7)
& r2_hidden(X7,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(ennf_transformation,[],[f4453]) ).
fof(f4531,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
<=> ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& X0 = k8_relset_2(X4,X5,X6,X7)
& r2_hidden(X7,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(flattening,[],[f4530]) ).
fof(f4549,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,[],[f4467]) ).
fof(f4550,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,[],[f4549]) ).
fof(f4597,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(ennf_transformation,[],[f4511]) ).
fof(f4894,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f5012,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f6182,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| k8_relset_2(X4,X5,X6,X7) != X0
| ~ r2_hidden(X7,X3) ) )
& ( ? [X7] :
( m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& X0 = k8_relset_2(X4,X5,X6,X7)
& r2_hidden(X7,X3) )
| ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(nnf_transformation,[],[f4531]) ).
fof(f6183,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| k8_relset_2(X4,X5,X6,X7) != X0
| ~ r2_hidden(X7,X3) ) )
& ( ? [X8] :
( m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& k8_relset_2(X4,X5,X6,X8) = X0
& r2_hidden(X8,X3) )
| ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(rectify,[],[f6182]) ).
fof(f6184,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| ! [X7] :
( ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| k8_relset_2(X4,X5,X6,X7) != X0
| ~ r2_hidden(X7,X3) ) )
& ( ( m1_subset_1(sK4(X0,X3,X4,X5,X6),k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
& k8_relset_2(X4,X5,X6,sK4(X0,X3,X4,X5,X6)) = X0
& r2_hidden(sK4(X0,X3,X4,X5,X6),X3) )
| ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X8,sK4(X0,X3,X4,X5,X6))],[f6183]) ).
fof(f6202,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK13)))
& m1_subset_1(sK14,k1_zfmisc_1(sK12))
& m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK9,sK10)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12),skolemize(X4,sK13),skolemize(X5,sK14)],[f4597]) ).
fof(f6209,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,[],[f540]) ).
fof(f6300,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f4894]) ).
fof(f6301,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f6300]) ).
fof(f6302,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK72(X0,X1),X1)
& r2_hidden(sK72(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X2,sK72(X0,X1))],[f6301]) ).
fof(f6386,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f5012]) ).
fof(f6721,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| r2_hidden(sK4(X0,X3,X4,X5,X6),X3)
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(cnf_transformation,[],[f6184]) ).
fof(f6722,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| k8_relset_2(X4,X5,X6,sK4(X0,X3,X4,X5,X6)) = X0
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(cnf_transformation,[],[f6184]) ).
fof(f6723,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| m1_subset_1(sK4(X0,X3,X4,X5,X6),k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(cnf_transformation,[],[f6184]) ).
fof(f6724,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( r2_hidden(X0,a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| k8_relset_2(X4,X5,X6,X7) != X0
| ~ r2_hidden(X7,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(cnf_transformation,[],[f6184]) ).
fof(f6740,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f4550]) ).
fof(f6798,plain,
m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK9,sK10)))),
inference(cnf_transformation,[],[f6202]) ).
fof(f6799,plain,
m1_subset_1(sK14,k1_zfmisc_1(sK12)),
inference(cnf_transformation,[],[f6202]) ).
fof(f6800,plain,
~ m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK13))),
inference(cnf_transformation,[],[f6202]) ).
fof(f6823,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f6209]) ).
fof(f6844,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f334]) ).
fof(f7257,plain,
! [X0,X1] :
( r2_hidden(sK72(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6302]) ).
fof(f7258,plain,
! [X0,X1] :
( ~ r2_hidden(sK72(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6302]) ).
fof(f7477,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f6386]) ).
fof(f9870,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( r2_hidden(k8_relset_2(X4,X5,X6,X7),a_6_0_relset_2(X1,X2,X3,X4,X5,X6))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| ~ r2_hidden(X7,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X4)) ),
inference(equality_resolution,[],[f6724]) ).
fof(f10534,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK4(X0,sK11,X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X0,a_6_0_relset_2(sK9,sK10,sK11,X1,X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f6723,f6798]) ).
fof(f10536,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_6_0_relset_2(sK9,sK10,sK11,X1,X2,X3))
| r2_hidden(sK4(X0,sK11,X1,X2,X3),sK11)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f6721,f6798]) ).
fof(f10542,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,a_6_0_relset_2(sK9,sK10,sK11,X1,X2,X4))
| m1_subset_1(k8_relset_2(X1,X2,X0,sK4(X3,sK11,X1,X2,X4)),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f6740,f10534]) ).
fof(f10943,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,X0,X1,X2),X3),sK11,X0,X1,X2),sK11)
| r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,X0,X1,X2),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f7257,f10536]) ).
fof(f10946,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r1_tarski(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),X6)
| sK72(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),X6) = k8_relset_2(X3,X4,X5,sK4(sK72(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),X6),X2,X3,X4,X5))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3)) ),
inference(resolution,[],[f7257,f6722]) ).
fof(f10950,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| sK72(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),X6) = k8_relset_2(X3,X4,X5,sK4(sK72(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),X6),X2,X3,X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(X6)) ),
inference(resolution,[],[f10946,f6823]) ).
fof(f10958,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| sK72(a_6_0_relset_2(sK9,sK10,sK11,X0,X1,X2),X3) = k8_relset_2(X0,X1,X2,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,X0,X1,X2),X3),sK11,X0,X1,X2))
| m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,X0,X1,X2),k1_zfmisc_1(X3)) ),
inference(resolution,[],[f10950,f6798]) ).
fof(f11068,plain,
! [X0,X1] :
( m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,sK12,X0,sK14),k1_zfmisc_1(X1))
| sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,X0,sK14),X1) = k8_relset_2(sK12,X0,sK14,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,X0,sK14),X1),sK11,sK12,X0,sK14)) ),
inference(resolution,[],[f10958,f6799]) ).
fof(f11079,plain,
sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)) = k8_relset_2(sK12,sK13,sK14,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14)),
inference(resolution,[],[f11068,f6800]) ).
fof(f11112,plain,
! [X2,X0,X1] :
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,X2,sK12,sK13,sK14))
| ~ m1_subset_1(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ r2_hidden(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(superposition,[],[f9870,f11079]) ).
fof(f11113,plain,
! [X2,X0,X1] :
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,X2,sK12,sK13,sK14))
| ~ m1_subset_1(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| ~ r2_hidden(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[],[f11112,f6799]) ).
fof(f11115,definition,
( spl338_37
<=> m1_subset_1(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),k1_zfmisc_1(k2_zfmisc_1(sK12,sK13))) ),
introduced(definition,[new_symbols(definition,[spl338_37])],[avatar_definition]) ).
fof(f11116,plain,
( ~ m1_subset_1(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),k1_zfmisc_1(k2_zfmisc_1(sK12,sK13)))
| spl338_37 ),
inference(avatar_component_clause,[],[f11115]) ).
fof(f11118,definition,
( spl338_38
<=> ! [X2,X0,X1] :
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,X2,sK12,sK13,sK14))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r2_hidden(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),X2) ) ),
introduced(definition,[new_symbols(definition,[spl338_38])],[avatar_definition]) ).
fof(f11119,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,X2,sK12,sK13,sK14)) )
| ~ spl338_38 ),
inference(avatar_component_clause,[],[f11118]) ).
fof(f11120,plain,
( ~ spl338_37
| spl338_38 ),
inference(avatar_split_clause,[],[f11113,f11118,f11115]) ).
fof(f11121,plain,
( ~ r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12))
| spl338_37 ),
inference(resolution,[],[f11116,f10534]) ).
fof(f11122,plain,
( ~ r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14))
| spl338_37 ),
inference(forward_subsumption_resolution,[],[f11121,f6799]) ).
fof(f11123,plain,
( r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13))
| spl338_37 ),
inference(resolution,[],[f11122,f7257]) ).
fof(f11125,plain,
( m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK13)))
| spl338_37 ),
inference(resolution,[],[f11123,f6823]) ).
fof(f11127,plain,
( $false
| spl338_37 ),
inference(forward_subsumption_resolution,[],[f11125,f6800]) ).
fof(f11128,plain,
spl338_37,
inference(avatar_contradiction_clause,[],[f11127]) ).
fof(f11129,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,sK11,sK12,sK13,sK14))
| r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) )
| ~ spl338_38 ),
inference(resolution,[],[f11119,f10943]) ).
fof(f11131,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,sK11,sK12,sK13,sK14))
| r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)) )
| ~ spl338_38 ),
inference(forward_subsumption_resolution,[],[f11129,f6799]) ).
fof(f11133,definition,
( spl338_39
<=> r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)) ),
introduced(definition,[new_symbols(definition,[spl338_39])],[avatar_definition]) ).
fof(f11134,plain,
( r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13))
| ~ spl338_39 ),
inference(avatar_component_clause,[],[f11133]) ).
fof(f11136,definition,
( spl338_40
<=> ! [X0,X1] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,sK11,sK12,sK13,sK14)) ) ),
introduced(definition,[new_symbols(definition,[spl338_40])],[avatar_definition]) ).
fof(f11137,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(X0,X1,sK11,sK12,sK13,sK14)) )
| ~ spl338_40 ),
inference(avatar_component_clause,[],[f11136]) ).
fof(f11138,plain,
( spl338_39
| spl338_40
| ~ spl338_38 ),
inference(avatar_split_clause,[],[f11131,f11118,f11136,f11133]) ).
fof(f11140,plain,
( m1_subset_1(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK13)))
| ~ spl338_39 ),
inference(resolution,[],[f11134,f6823]) ).
fof(f11142,plain,
( $false
| ~ spl338_39 ),
inference(forward_subsumption_resolution,[],[f11140,f6800]) ).
fof(f11143,plain,
~ spl338_39,
inference(avatar_contradiction_clause,[],[f11142]) ).
fof(f11144,plain,
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14))
| ~ spl338_40 ),
inference(resolution,[],[f11137,f6798]) ).
fof(f11147,plain,
( ! [X0] :
( m1_subset_1(k8_relset_2(sK12,sK13,X0,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14)),k1_zfmisc_1(sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| ~ m1_subset_1(sK14,k1_zfmisc_1(sK12)) )
| ~ spl338_40 ),
inference(resolution,[],[f11144,f10542]) ).
fof(f11155,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| m1_subset_1(k8_relset_2(sK12,sK13,X0,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14)),k1_zfmisc_1(sK13)) )
| ~ spl338_40 ),
inference(forward_subsumption_resolution,[],[f11147,f6799]) ).
fof(f11328,plain,
( m1_subset_1(k8_relset_2(sK12,sK13,sK14,sK4(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),sK11,sK12,sK13,sK14)),k1_zfmisc_1(sK13))
| ~ spl338_40 ),
inference(resolution,[],[f11155,f6799]) ).
fof(f11329,plain,
( m1_subset_1(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),k1_zfmisc_1(sK13))
| ~ spl338_40 ),
inference(forward_demodulation,[],[f11328,f11079]) ).
fof(f11341,plain,
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),k1_zfmisc_1(sK13))
| v1_xboole_0(k1_zfmisc_1(sK13))
| ~ spl338_40 ),
inference(resolution,[],[f11329,f7477]) ).
fof(f11355,plain,
( r2_hidden(sK72(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13)),k1_zfmisc_1(sK13))
| ~ spl338_40 ),
inference(forward_subsumption_resolution,[],[f11341,f6844]) ).
fof(f11367,plain,
( r1_tarski(a_6_0_relset_2(sK9,sK10,sK11,sK12,sK13,sK14),k1_zfmisc_1(sK13))
| ~ spl338_40 ),
inference(resolution,[],[f11355,f7258]) ).
fof(f11454,plain,
( spl338_39
| ~ spl338_40 ),
inference(avatar_split_clause,[],[f11367,f11136,f11133]) ).
cnf(s31,plain,
( ~ spl338_37
| spl338_38 ),
inference(sat_conversion,[],[f11120]) ).
cnf(s33,plain,
spl338_37,
inference(sat_conversion,[],[f11128]) ).
cnf(s34,plain,
( ~ spl338_38
| spl338_39
| spl338_40 ),
inference(sat_conversion,[],[f11138]) ).
cnf(s36,plain,
~ spl338_39,
inference(sat_conversion,[],[f11143]) ).
cnf(s63,plain,
( spl338_39
| ~ spl338_40 ),
inference(sat_conversion,[],[f11454]) ).
cnf(s66,plain,
~ spl338_40,
inference(rat,[],[s63,s36]) ).
cnf(s67,plain,
~ spl338_38,
inference(rat,[],[s34,s66,s36]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s31,s67,s33]) ).
fof(f11455,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU435+2 : 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 : n020.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 05:28:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.29/2.89 % (4064738)Detected formulas, will run a generic FOF schedule.
% 12.29/2.89 % (4064743)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=3314532888:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.29/2.89 % (4064744)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=3909244789:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.29/2.89 % (4064746)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2455598052:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.29/2.89 % (4064748)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2070797944:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.29/2.89 % (4064747)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1139361064:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.29/2.89 % (4064745)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=1604914342:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.29/2.89 % (4064749)dis-21_1_sil=8000:lcm=predicate:random_seed=3496948856:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.29/2.89 % (4064746)Refutation not found, incomplete strategy
% 12.29/2.89 % (4064746)------------------------------
% 12.29/2.89 % (4064746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064746)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064746)Termination reason: Refutation not found, incomplete strategy
% 12.29/2.89 % (4064746)Time elapsed: 0.025 s
% 12.29/2.89 % (4064746)Peak memory usage: 93 MB
% 12.29/2.89 % (4064746)Instructions burned: 31 (million)
% 12.29/2.89 % (4064747)Instruction limit reached!
% 12.29/2.89 % (4064747)------------------------------
% 12.29/2.89 % (4064747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064747)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064747)Termination reason: Instruction limit
% 12.29/2.89 % (4064747)Termination phase: Saturation
% 12.29/2.89 % (4064747)Time elapsed: 0.078 s
% 12.29/2.89 % (4064747)Peak memory usage: 94 MB
% 12.29/2.89 % (4064747)Instructions burned: 120 (million)
% 12.29/2.89 % (4064748)Instruction limit reached!
% 12.29/2.89 % (4064748)------------------------------
% 12.29/2.89 % (4064748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064748)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064748)Termination reason: Instruction limit
% 12.29/2.89 % (4064748)Termination phase: Preprocessing 3
% 12.29/2.89 % (4064748)Time elapsed: 0.089 s
% 12.29/2.89 % (4064748)Peak memory usage: 94 MB
% 12.29/2.89 % (4064748)Instructions burned: 139 (million)
% 12.29/2.89 % (4064749)Instruction limit reached!
% 12.29/2.89 % (4064749)------------------------------
% 12.29/2.89 % (4064749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064749)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064749)Termination reason: Instruction limit
% 12.29/2.89 % (4064749)Termination phase: Clausification
% 12.29/2.89 % (4064749)Time elapsed: 0.089 s
% 12.29/2.89 % (4064749)Peak memory usage: 94 MB
% 12.29/2.89 % (4064749)Instructions burned: 129 (million)
% 12.29/2.89 % (4064757)lrs+10_1_sil=8000:sp=occurrence:random_seed=74467087:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 12.29/2.89 % (4064759)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3485956546:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.29/2.89 % (4064758)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2483902746:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.29/2.89 % (4064746)------------------------------
% 12.29/2.89 % (4064746)------------------------------
% 12.29/2.89 % (4064758)Instruction limit reached!
% 12.29/2.89 % (4064758)------------------------------
% 12.29/2.89 % (4064758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064758)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064758)Termination reason: Instruction limit
% 12.29/2.89 % (4064758)Termination phase: Saturation
% 12.29/2.89 % (4064758)Time elapsed: 0.091 s
% 12.29/2.89 % (4064758)Peak memory usage: 94 MB
% 12.29/2.89 % (4064758)Instructions burned: 158 (million)
% 12.29/2.89 % (4064757)Instruction limit reached!
% 12.29/2.89 % (4064757)------------------------------
% 12.29/2.89 % (4064757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064757)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064757)Termination reason: Instruction limit
% 12.29/2.89 % (4064757)Termination phase: Saturation
% 12.29/2.89 % (4064757)Time elapsed: 0.187 s
% 12.29/2.89 % (4064757)Peak memory usage: 96 MB
% 12.29/2.89 % (4064757)Instructions burned: 286 (million)
% 12.29/2.89 % (4064763)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=1050668341:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.29/2.89 % (4064759)Instruction limit reached!
% 12.29/2.89 % (4064759)------------------------------
% 12.29/2.89 % (4064759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064759)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064759)Termination reason: Instruction limit
% 12.29/2.89 % (4064759)Termination phase: Saturation
% 12.29/2.89 % (4064759)Time elapsed: 0.198 s
% 12.29/2.89 % (4064759)Peak memory usage: 95 MB
% 12.29/2.89 % (4064759)Instructions burned: 326 (million)
% 12.29/2.89 % (4064764)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1747849778:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.29/2.89 % (4064765)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1991105589:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 12.29/2.89 % (4064763)Instruction limit reached!
% 12.29/2.89 % (4064763)------------------------------
% 12.29/2.89 % (4064763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064763)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064763)Termination reason: Instruction limit
% 12.29/2.89 % (4064763)Termination phase: Property scanning
% 12.29/2.89 % (4064763)Time elapsed: 0.149 s
% 12.29/2.89 % (4064763)Peak memory usage: 98 MB
% 12.29/2.89 % (4064763)Instructions burned: 248 (million)
% 12.29/2.89 % (4064767)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4188898871:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.29/2.89 % (4064764)Instruction limit reached!
% 12.29/2.89 % (4064764)------------------------------
% 12.29/2.89 % (4064764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064764)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064764)Termination reason: Instruction limit
% 12.29/2.89 % (4064764)Termination phase: Saturation
% 12.29/2.89 % (4064764)Time elapsed: 0.176 s
% 12.29/2.89 % (4064764)Peak memory usage: 96 MB
% 12.29/2.89 % (4064764)Instructions burned: 294 (million)
% 12.29/2.89 % (4064767)Instruction limit reached!
% 12.29/2.89 % (4064767)------------------------------
% 12.29/2.89 % (4064767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064767)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064767)Termination reason: Instruction limit
% 12.29/2.89 % (4064767)Termination phase: Saturation
% 12.29/2.89 % (4064767)Time elapsed: 0.071 s
% 12.29/2.89 % (4064767)Peak memory usage: 95 MB
% 12.29/2.89 % (4064767)Instructions burned: 113 (million)
% 12.29/2.89 % (4064770)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2131304206:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.29/2.89 % (4064772)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1234533288:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 12.29/2.89 % (4064773)lrs+10_1_sil=8000:sp=occurrence:random_seed=92399393:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 12.29/2.89 % (4064770)Instruction limit reached!
% 12.29/2.89 % (4064770)------------------------------
% 12.29/2.89 % (4064770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064770)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064770)Termination reason: Instruction limit
% 12.29/2.89 % (4064770)Termination phase: Preprocessing 3
% 12.29/2.89 % (4064770)Time elapsed: 0.088 s
% 12.29/2.89 % (4064770)Peak memory usage: 97 MB
% 12.29/2.89 % (4064770)Instructions burned: 128 (million)
% 12.29/2.89 % (4064772)Instruction limit reached!
% 12.29/2.89 % (4064772)------------------------------
% 12.29/2.89 % (4064772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064772)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064772)Termination reason: Instruction limit
% 12.29/2.89 % (4064772)Termination phase: SInE selection
% 12.29/2.89 % (4064772)Time elapsed: 0.055 s
% 12.29/2.89 % (4064772)Peak memory usage: 89 MB
% 12.29/2.89 % (4064772)Instructions burned: 115 (million)
% 12.29/2.89 % (4064777)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1933648761:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 12.29/2.89 % (4064778)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=332666529:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 12.29/2.89 % (4064777)Instruction limit reached!
% 12.29/2.89 % (4064777)------------------------------
% 12.29/2.89 % (4064777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064777)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064777)Termination reason: Instruction limit
% 12.29/2.89 % (4064777)Termination phase: Saturation
% 12.29/2.89 % (4064777)Time elapsed: 0.268 s
% 12.29/2.89 % (4064777)Peak memory usage: 98 MB
% 12.29/2.89 % (4064777)Instructions burned: 438 (million)
% 12.29/2.89 % (4064744)First to succeed.
% 12.29/2.89 % (4064744)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4064738"
% 12.29/2.89 % (4064773)Instruction limit reached!
% 12.29/2.89 % (4064773)------------------------------
% 12.29/2.89 % (4064773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064773)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064773)Termination reason: Instruction limit
% 12.29/2.89 % (4064773)Termination phase: Saturation
% 12.29/2.89 % (4064773)Time elapsed: 0.604 s
% 12.29/2.89 % (4064773)Peak memory usage: 107 MB
% 12.29/2.89 % (4064773)Instructions burned: 908 (million)
% 12.29/2.89 % (4064781)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3968317924:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 12.29/2.89 % (4064781)Instruction limit reached!
% 12.29/2.89 % (4064781)------------------------------
% 12.29/2.89 % (4064781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.89 % (4064781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.89 % (4064781)CaDiCaL version: 2.1.3
% 12.29/2.89 % (4064781)Termination reason: Instruction limit
% 12.29/2.89 % (4064781)Termination phase: Saturation
% 12.29/2.89 % (4064781)Time elapsed: 0.088 s
% 12.29/2.89 % (4064781)Peak memory usage: 96 MB
% 12.29/2.89 % (4064781)Instructions burned: 135 (million)
% 12.29/2.89 % (4064783)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3236740385:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 12.29/2.89 % (4064744)Refutation found. Thanks to Tanya!
% 12.29/2.89 % SZS status Theorem for theBenchmark
% 12.29/2.89 % SZS output start Proof for theBenchmark
% See solution above
% 13.96/3.09 % (4064744)------------------------------
% 13.96/3.09 % (4064744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.96/3.09 % (4064744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/3.09 % (4064744)CaDiCaL version: 2.1.3
% 13.96/3.09 % (4064744)Termination reason: Refutation
% 13.96/3.09 % (4064744)Time elapsed: 1.417 s
% 13.96/3.09 % (4064744)Peak memory usage: 165 MB
% 13.96/3.09 % (4064744)Instructions burned: 2287 (million)
% 13.96/3.09 % (4064744)------------------------------
% 13.96/3.09 % (4064744)------------------------------
% 13.96/3.09 % (4064738)Success in time 2.044 s
% 13.96/3.09 % Vampire exiting
%------------------------------------------------------------------------------