%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU442+2 : 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 : 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 12:49:06 PM UTC 2026
% Result : Theorem 40.40s 7.67s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 172 ( 45 unt; 4 def)
% Number of atoms : 365 ( 78 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 333 ( 140 ~; 141 |; 22 &)
% ( 8 <=>; 21 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-5 aty)
% Number of variables : 266 ( 0 sgn 254 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f64,axiom,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_boole) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f106,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k1_xboole_0
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f435,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) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f437,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f716,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t144_relat_1) ).
fof(f731,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
fof(f735,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t163_relat_1) ).
fof(f1120,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1179,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1198,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1205,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f1206,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f2485,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f3011,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f4467,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f4468,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f4523,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f4526,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k1_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_relset_2) ).
fof(f4527,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k1_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f4526]) ).
fof(f4569,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f4467]) ).
fof(f4570,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f4569]) ).
fof(f4571,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f4468]) ).
fof(f4572,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f4571]) ).
fof(f4633,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4523]) ).
fof(f4636,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( r1_tarski(X2,k1_funct_5(X3))
<~> r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4527]) ).
fof(f4640,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f4641,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f4738,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f731]) ).
fof(f4756,plain,
! [X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f716]) ).
fof(f4930,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4931,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4930]) ).
fof(f4937,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,[],[f437]) ).
fof(f4938,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,[],[f4937]) ).
fof(f4941,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f435]) ).
fof(f4942,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f4941]) ).
fof(f4973,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1206]) ).
fof(f4974,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1205]) ).
fof(f5254,plain,
! [X0,X1] :
( r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0)))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f735]) ).
fof(f5262,plain,
! [X0] :
( ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f3011]) ).
fof(f5269,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f5271,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f6265,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| ~ r1_tarski(X2,k1_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| r1_tarski(X2,k1_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4636]) ).
fof(f6266,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| ~ r1_tarski(X2,k1_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| r1_tarski(X2,k1_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f6265]) ).
fof(f6267,plain,
( ( ~ r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| ~ r1_tarski(sK14,k1_funct_5(sK15)) )
& ( r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| r1_tarski(sK14,k1_funct_5(sK15)) )
& m2_relset_1(sK15,sK12,sK13)
& m1_subset_1(sK14,k1_zfmisc_1(sK12)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f6266]) ).
fof(f6296,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1181]) ).
fof(f6355,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,X1) = k1_xboole_0
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| k1_xboole_0 != k4_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f6812,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f4570]) ).
fof(f6813,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_relat_1(X3,X4) = k9_relset_2(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f4572]) ).
fof(f6893,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f4633]) ).
fof(f6894,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f4633]) ).
fof(f6899,plain,
m1_subset_1(sK14,k1_zfmisc_1(sK12)),
inference(cnf_transformation,[],[f6267]) ).
fof(f6900,plain,
m2_relset_1(sK15,sK12,sK13),
inference(cnf_transformation,[],[f6267]) ).
fof(f6901,plain,
( r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| r1_tarski(sK14,k1_funct_5(sK15)) ),
inference(cnf_transformation,[],[f6267]) ).
fof(f6902,plain,
( ~ r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| ~ r1_tarski(sK14,k1_funct_5(sK15)) ),
inference(cnf_transformation,[],[f6267]) ).
fof(f6910,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4640]) ).
fof(f6911,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4641]) ).
fof(f6965,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f6979,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f6997,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f6296]) ).
fof(f7052,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ),
inference(cnf_transformation,[],[f4738]) ).
fof(f7068,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X0),k2_relat_1(X1)) ),
inference(cnf_transformation,[],[f4756]) ).
fof(f7331,plain,
! [X0,X1] :
( k1_xboole_0 = k4_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f6355]) ).
fof(f7338,plain,
! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f7347,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4931]) ).
fof(f7357,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,[],[f4938]) ).
fof(f7359,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) = k5_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f4942]) ).
fof(f7383,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f4973]) ).
fof(f7384,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f4974]) ).
fof(f7816,plain,
! [X0,X1] :
( r1_tarski(k3_xboole_0(k1_relat_1(X1),X0),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0)))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f5254]) ).
fof(f7831,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f5262]) ).
fof(f7832,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k1_funct_5(X0) ),
inference(cnf_transformation,[],[f5262]) ).
fof(f7875,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f5269]) ).
fof(f7877,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f5271]) ).
fof(f8683,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f2485]) ).
fof(f9215,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f6979,f6965,f6965]) ).
fof(f9393,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = np__0 ),
inference(definition_unfolding,[],[f7331,f8683]) ).
fof(f9396,plain,
! [X0] : k4_xboole_0(X0,np__0) = X0,
inference(definition_unfolding,[],[f7338,f8683]) ).
fof(f9397,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) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f7357,f6965]) ).
fof(f9625,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| r1_tarski(k4_xboole_0(k1_relat_1(X1),k4_xboole_0(k1_relat_1(X1),X0)),k9_relat_1(k4_relat_1(X1),k9_relat_1(X1,X0))) ),
inference(definition_unfolding,[],[f7816,f6965]) ).
fof(f10659,definition,
( spl347_19
<=> r1_tarski(sK14,k1_funct_5(sK15)) ),
introduced(definition,[new_symbols(definition,[spl347_19])],[avatar_definition]) ).
fof(f10660,plain,
( r1_tarski(sK14,k1_funct_5(sK15))
| ~ spl347_19 ),
inference(avatar_component_clause,[],[f10659]) ).
fof(f10662,definition,
( spl347_20
<=> r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14)) ),
introduced(definition,[new_symbols(definition,[spl347_20])],[avatar_definition]) ).
fof(f10663,plain,
( r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| ~ spl347_20 ),
inference(avatar_component_clause,[],[f10662]) ).
fof(f10664,plain,
( spl347_19
| spl347_20 ),
inference(avatar_split_clause,[],[f6901,f10662,f10659]) ).
fof(f10665,plain,
( ~ r1_tarski(sK14,k1_funct_5(sK15))
| spl347_19 ),
inference(avatar_component_clause,[],[f10659]) ).
fof(f10666,plain,
( ~ r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k6_relset_1(sK12,sK13,sK15)),sK14))
| spl347_20 ),
inference(avatar_component_clause,[],[f10662]) ).
fof(f10667,plain,
( ~ spl347_19
| ~ spl347_20 ),
inference(avatar_split_clause,[],[f6902,f10662,f10659]) ).
fof(f10804,plain,
k1_funct_5(sK15) = k10_relset_1(sK13,sK12,k6_relset_1(sK12,sK13,sK15),sK13),
inference(resolution,[],[f6894,f6900]) ).
fof(f10813,definition,
( spl347_22
<=> m1_subset_1(k1_funct_5(sK15),k1_zfmisc_1(sK12)) ),
introduced(definition,[new_symbols(definition,[spl347_22])],[avatar_definition]) ).
fof(f10814,plain,
( m1_subset_1(k1_funct_5(sK15),k1_zfmisc_1(sK12))
| ~ spl347_22 ),
inference(avatar_component_clause,[],[f10813]) ).
fof(f10826,plain,
m1_relset_1(sK15,sK12,sK13),
inference(resolution,[],[f6997,f6900]) ).
fof(f10829,plain,
m2_relset_1(k6_relset_1(sK12,sK13,sK15),sK13,sK12),
inference(resolution,[],[f10826,f7877]) ).
fof(f10830,plain,
k6_relset_1(sK12,sK13,sK15) = k4_relat_1(sK15),
inference(resolution,[],[f10826,f7875]) ).
fof(f10831,plain,
m2_relset_1(k4_relat_1(sK15),sK13,sK12),
inference(forward_demodulation,[],[f10829,f10830]) ).
fof(f10832,plain,
k1_funct_5(sK15) = k10_relset_1(sK13,sK12,k4_relat_1(sK15),sK13),
inference(superposition,[],[f10804,f10830]) ).
fof(f10833,plain,
( ~ r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k4_relat_1(sK15)),sK14))
| spl347_20 ),
inference(superposition,[],[f10666,f10830]) ).
fof(f10836,plain,
m1_relset_1(k4_relat_1(sK15),sK13,sK12),
inference(resolution,[],[f10831,f6997]) ).
fof(f10838,plain,
k10_relset_1(sK13,sK12,k4_relat_1(sK15),sK13) = k2_funct_5(k4_relat_1(sK15)),
inference(resolution,[],[f10831,f6893]) ).
fof(f10841,plain,
k1_funct_5(sK15) = k2_funct_5(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f10838,f10832]) ).
fof(f10862,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| m2_relset_1(k9_relset_2(X4,X1,X2,X3,X0),X4,X2) ),
inference(resolution,[],[f6910,f6812]) ).
fof(f10863,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0) ),
inference(resolution,[],[f6910,f6813]) ).
fof(f10884,plain,
( m1_subset_1(k1_funct_5(sK15),k1_zfmisc_1(sK12))
| ~ m1_relset_1(k4_relat_1(sK15),sK13,sK12) ),
inference(superposition,[],[f7384,f10832]) ).
fof(f10885,plain,
m1_subset_1(k1_funct_5(sK15),k1_zfmisc_1(sK12)),
inference(forward_subsumption_resolution,[],[f10884,f10836]) ).
fof(f10886,plain,
spl347_22,
inference(avatar_split_clause,[],[f10885,f10813]) ).
fof(f10930,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X3,X4,X1)
| k5_relat_1(X3,X0) = k9_relset_2(X4,X1,X2,X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f10863,f6910]) ).
fof(f10932,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sK13,X1)
| k9_relset_2(sK12,sK13,X1,sK15,X0) = k5_relat_1(sK15,X0) ),
inference(resolution,[],[f10930,f6900]) ).
fof(f10935,plain,
k9_relset_2(sK12,sK13,sK12,sK15,k4_relat_1(sK15)) = k5_relat_1(sK15,k4_relat_1(sK15)),
inference(resolution,[],[f10932,f10831]) ).
fof(f10938,plain,
( ~ r1_tarski(sK14,k10_relset_1(sK12,sK12,k5_relat_1(sK15,k4_relat_1(sK15)),sK14))
| spl347_20 ),
inference(superposition,[],[f10833,f10935]) ).
fof(f10994,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X3,X1)
| m2_relset_1(k9_relset_2(X3,X1,X2,X4,X0),X3,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f10862,f6910]) ).
fof(f11024,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f6911,f6910]) ).
fof(f11028,plain,
v1_relat_1(sK15),
inference(resolution,[],[f11024,f6900]) ).
fof(f11029,plain,
v1_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f11024,f10831]) ).
fof(f11193,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,sK13,X0)
| m2_relset_1(k9_relset_2(sK12,sK13,X0,sK15,X1),sK12,X0) ),
inference(resolution,[],[f10994,f6900]) ).
fof(f11196,plain,
m2_relset_1(k9_relset_2(sK12,sK13,sK12,sK15,k4_relat_1(sK15)),sK12,sK12),
inference(resolution,[],[f11193,f10831]) ).
fof(f11197,plain,
m2_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12),
inference(forward_demodulation,[],[f11196,f10935]) ).
fof(f11206,plain,
m1_relset_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK12,sK12),
inference(resolution,[],[f11197,f6997]) ).
fof(f11219,plain,
! [X0] : k10_relset_1(sK12,sK12,k5_relat_1(sK15,k4_relat_1(sK15)),X0) = k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),X0),
inference(resolution,[],[f11206,f7383]) ).
fof(f11225,plain,
( ~ r1_tarski(sK14,k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK14))
| spl347_20 ),
inference(superposition,[],[f10938,f11219]) ).
fof(f11561,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| k5_subset_1(sK12,X0,k1_funct_5(sK15)) = k4_xboole_0(X0,k4_xboole_0(X0,k1_funct_5(sK15))) )
| ~ spl347_22 ),
inference(resolution,[],[f9397,f10814]) ).
fof(f11566,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| k5_subset_1(sK12,X0,sK14) = k4_xboole_0(X0,k4_xboole_0(X0,sK14)) ),
inference(resolution,[],[f9397,f6899]) ).
fof(f12128,plain,
k1_funct_5(sK15) = k1_relat_1(sK15),
inference(resolution,[],[f7832,f11028]) ).
fof(f12132,plain,
( r1_tarski(sK14,k1_relat_1(sK15))
| ~ spl347_19 ),
inference(superposition,[],[f10660,f12128]) ).
fof(f12133,plain,
( m1_subset_1(k1_relat_1(sK15),k1_zfmisc_1(sK12))
| ~ spl347_22 ),
inference(superposition,[],[f10814,f12128]) ).
fof(f12218,plain,
( k5_subset_1(sK12,k1_relat_1(sK15),sK14) = k4_xboole_0(k1_relat_1(sK15),k4_xboole_0(k1_relat_1(sK15),sK14))
| ~ spl347_22 ),
inference(resolution,[],[f12133,f11566]) ).
fof(f12225,plain,
( k4_xboole_0(sK14,k4_xboole_0(sK14,k1_relat_1(sK15))) = k5_subset_1(sK12,k1_relat_1(sK15),sK14)
| ~ spl347_22 ),
inference(forward_demodulation,[],[f12218,f9215]) ).
fof(f13061,plain,
! [X0] : r1_tarski(k9_relat_1(k4_relat_1(sK15),X0),k2_relat_1(k4_relat_1(sK15))),
inference(resolution,[],[f7068,f11029]) ).
fof(f13094,definition,
( spl347_76
<=> k1_relat_1(sK15) = k2_relat_1(k4_relat_1(sK15)) ),
introduced(definition,[new_symbols(definition,[spl347_76])],[avatar_definition]) ).
fof(f13095,plain,
( k1_relat_1(sK15) = k2_relat_1(k4_relat_1(sK15))
| ~ spl347_76 ),
inference(avatar_component_clause,[],[f13094]) ).
fof(f14789,plain,
( k4_xboole_0(sK14,k4_xboole_0(sK14,k1_funct_5(sK15))) = k5_subset_1(sK12,sK14,k1_funct_5(sK15))
| ~ spl347_22 ),
inference(resolution,[],[f11561,f6899]) ).
fof(f14794,plain,
( k4_xboole_0(sK14,k4_xboole_0(sK14,k1_relat_1(sK15))) = k5_subset_1(sK12,sK14,k1_relat_1(sK15))
| ~ spl347_22 ),
inference(forward_demodulation,[],[f14789,f12128]) ).
fof(f15559,plain,
k2_funct_5(k4_relat_1(sK15)) = k2_relat_1(k4_relat_1(sK15)),
inference(resolution,[],[f7831,f11029]) ).
fof(f15563,plain,
k1_funct_5(sK15) = k2_relat_1(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f15559,f10841]) ).
fof(f15566,plain,
k1_relat_1(sK15) = k2_relat_1(k4_relat_1(sK15)),
inference(forward_demodulation,[],[f15563,f12128]) ).
fof(f15569,plain,
spl347_76,
inference(avatar_split_clause,[],[f15566,f13094]) ).
fof(f15634,plain,
( ! [X0] : r1_tarski(k9_relat_1(k4_relat_1(sK15),X0),k1_relat_1(sK15))
| ~ spl347_76 ),
inference(superposition,[],[f13061,f13095]) ).
fof(f16355,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(X0,k9_relat_1(sK15,X1)) = k9_relat_1(k5_relat_1(sK15,X0),X1) ),
inference(resolution,[],[f7052,f11028]) ).
fof(f16360,plain,
! [X0] : k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),X0) = k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,X0)),
inference(resolution,[],[f16355,f11029]) ).
fof(f16377,plain,
( ~ r1_tarski(sK14,k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK14)))
| spl347_20 ),
inference(superposition,[],[f11225,f16360]) ).
fof(f17515,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK12))
| k5_subset_1(sK12,X0,sK14) = k5_subset_1(sK12,sK14,X0) ),
inference(resolution,[],[f7359,f6899]) ).
fof(f17537,plain,
( k5_subset_1(sK12,k1_relat_1(sK15),sK14) = k5_subset_1(sK12,sK14,k1_relat_1(sK15))
| ~ spl347_22 ),
inference(resolution,[],[f17515,f12133]) ).
fof(f19264,plain,
( ~ r1_tarski(sK14,k1_relat_1(sK15))
| spl347_19 ),
inference(forward_demodulation,[],[f10665,f12128]) ).
fof(f19541,plain,
( np__0 = k4_xboole_0(sK14,k1_relat_1(sK15))
| ~ spl347_19 ),
inference(resolution,[],[f12132,f9393]) ).
fof(f19991,plain,
( k4_xboole_0(sK14,np__0) = k5_subset_1(sK12,sK14,k1_relat_1(sK15))
| ~ spl347_19
| ~ spl347_22 ),
inference(superposition,[],[f14794,f19541]) ).
fof(f20024,plain,
( sK14 = k5_subset_1(sK12,sK14,k1_relat_1(sK15))
| ~ spl347_19
| ~ spl347_22 ),
inference(forward_demodulation,[],[f19991,f9396]) ).
fof(f45945,plain,
! [X0] : r1_tarski(k4_xboole_0(k1_relat_1(sK15),k4_xboole_0(k1_relat_1(sK15),X0)),k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,X0))),
inference(resolution,[],[f9625,f11028]) ).
fof(f45983,plain,
! [X0] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,k1_relat_1(sK15))),k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,X0))),
inference(superposition,[],[f45945,f9215]) ).
fof(f46134,plain,
( r1_tarski(k5_subset_1(sK12,k1_relat_1(sK15),sK14),k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK14)))
| ~ spl347_22 ),
inference(superposition,[],[f45983,f12225]) ).
fof(f46159,plain,
( r1_tarski(k5_subset_1(sK12,sK14,k1_relat_1(sK15)),k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK14)))
| ~ spl347_22 ),
inference(forward_demodulation,[],[f46134,f17537]) ).
fof(f46173,plain,
( r1_tarski(sK14,k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK14)))
| ~ spl347_19
| ~ spl347_22 ),
inference(forward_demodulation,[],[f46159,f20024]) ).
fof(f46180,plain,
( $false
| ~ spl347_19
| spl347_20
| ~ spl347_22 ),
inference(forward_subsumption_resolution,[],[f46173,f16377]) ).
fof(f46181,plain,
( ~ spl347_19
| spl347_20
| ~ spl347_22 ),
inference(avatar_contradiction_clause,[],[f46180]) ).
fof(f46185,plain,
( r1_tarski(sK14,k10_relset_1(sK12,sK12,k9_relset_2(sK12,sK13,sK12,sK15,k4_relat_1(sK15)),sK14))
| ~ spl347_20 ),
inference(forward_demodulation,[],[f10663,f10830]) ).
fof(f46258,plain,
( r1_tarski(sK14,k10_relset_1(sK12,sK12,k5_relat_1(sK15,k4_relat_1(sK15)),sK14))
| ~ spl347_20 ),
inference(forward_demodulation,[],[f46185,f10935]) ).
fof(f46276,plain,
( r1_tarski(sK14,k9_relat_1(k5_relat_1(sK15,k4_relat_1(sK15)),sK14))
| ~ spl347_20 ),
inference(forward_demodulation,[],[f46258,f11219]) ).
fof(f46280,plain,
( r1_tarski(sK14,k9_relat_1(k4_relat_1(sK15),k9_relat_1(sK15,sK14)))
| ~ spl347_20 ),
inference(forward_demodulation,[],[f46276,f16360]) ).
fof(f46316,plain,
( $false
| spl347_19
| ~ spl347_20
| ~ spl347_76 ),
inference(unit_resulting_resolution,[],[f7347,f46280,f15634,f19264]) ).
fof(f46318,plain,
( spl347_19
| ~ spl347_20
| ~ spl347_76 ),
inference(avatar_contradiction_clause,[],[f46316]) ).
cnf(s11,plain,
( spl347_19
| spl347_20 ),
inference(sat_conversion,[],[f10664]) ).
cnf(s12,plain,
( ~ spl347_19
| ~ spl347_20 ),
inference(sat_conversion,[],[f10667]) ).
cnf(s21,plain,
spl347_22,
inference(sat_conversion,[],[f10886]) ).
cnf(s74,plain,
spl347_76,
inference(sat_conversion,[],[f15569]) ).
cnf(s594,plain,
( ~ spl347_19
| spl347_20
| ~ spl347_22 ),
inference(sat_conversion,[],[f46181]) ).
cnf(s606,plain,
( spl347_19
| ~ spl347_20
| ~ spl347_76 ),
inference(sat_conversion,[],[f46318]) ).
cnf(s682,plain,
spl347_19,
inference(rat,[],[s11,s606,s74]) ).
cnf(s683,plain,
spl347_20,
inference(rat,[],[s594,s21,s682]) ).
cnf(s684,plain,
$false,
inference(rat,[],[s12,s683,s682]) ).
fof(f46319,plain,
$false,
inference(avatar_sat_refutation,[],[s684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU442+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 05:29:26 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 12.68/2.89 % (2084326)Detected formulas, will run a generic FOF schedule.
% 12.68/2.89 % (2084651)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2123710895:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.68/2.89 % (2084650)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3354142450:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.68/2.89 % (2084644)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=857601182:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.68/2.89 % (2084648)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=1047805251:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.68/2.89 % (2084655)dis-21_1_sil=8000:lcm=predicate:random_seed=2513771641: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)
% 12.68/2.89 % (2084646)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=1930377158:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.68/2.89 % (2084653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3020379030:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.68/2.89 % (2084651)Instruction limit reached!
% 12.68/2.89 % (2084651)------------------------------
% 12.68/2.89 % (2084651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.89 % (2084651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.89 % (2084651)CaDiCaL version: 2.1.3
% 12.68/2.89 % (2084651)Termination reason: Instruction limit
% 12.68/2.89 % (2084651)Termination phase: Saturation
% 12.68/2.89 % (2084651)Time elapsed: 0.044 s
% 12.68/2.89 % (2084651)Peak memory usage: 94 MB
% 12.68/2.89 % (2084651)Instructions burned: 120 (million)
% 12.68/2.89 % (2084650)Instruction limit reached!
% 12.68/2.89 % (2084650)------------------------------
% 12.68/2.89 % (2084650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.89 % (2084650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.89 % (2084650)CaDiCaL version: 2.1.3
% 12.68/2.89 % (2084650)Termination reason: Instruction limit
% 12.68/2.89 % (2084650)Termination phase: Saturation
% 12.68/2.89 % (2084650)Time elapsed: 0.080 s
% 12.68/2.89 % (2084650)Peak memory usage: 94 MB
% 12.68/2.89 % (2084650)Instructions burned: 109 (million)
% 12.68/2.89 % (2084653)Instruction limit reached!
% 12.68/2.89 % (2084653)------------------------------
% 12.68/2.89 % (2084653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.89 % (2084653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.89 % (2084653)CaDiCaL version: 2.1.3
% 12.68/2.89 % (2084653)Termination reason: Instruction limit
% 12.68/2.89 % (2084653)Termination phase: Preprocessing 3
% 12.68/2.89 % (2084653)Time elapsed: 0.089 s
% 12.68/2.89 % (2084653)Peak memory usage: 94 MB
% 12.68/2.89 % (2084653)Instructions burned: 139 (million)
% 12.68/2.89 % (2084655)Instruction limit reached!
% 12.68/2.89 % (2084655)------------------------------
% 12.68/2.89 % (2084655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.89 % (2084655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.89 % (2084655)CaDiCaL version: 2.1.3
% 12.68/2.89 % (2084655)Termination reason: Instruction limit
% 12.68/2.89 % (2084655)Termination phase: Preprocessing 3
% 12.68/2.89 % (2084655)Time elapsed: 0.092 s
% 12.68/2.89 % (2084655)Peak memory usage: 94 MB
% 12.68/2.89 % (2084655)Instructions burned: 129 (million)
% 12.68/2.89 % (2084735)lrs+10_1_sil=8000:sp=occurrence:random_seed=871699688:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.68/2.89 % (2084735)Instruction limit reached!
% 12.68/2.89 % (2084735)------------------------------
% 12.68/2.89 % (2084735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.89 % (2084735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.89 % (2084735)CaDiCaL version: 2.1.3
% 12.68/2.89 % (2084735)Termination reason: Instruction limit
% 12.68/2.89 % (2084735)Termination phase: Saturation
% 12.68/2.89 % (2084735)Time elapsed: 0.105 s
% 12.68/2.89 % (2084735)Peak memory usage: 98 MB
% 12.68/2.89 % (2084735)Instructions burned: 286 (million)
% 20.21/3.97 % (2084783)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3854159463:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.21/3.97 % (2084777)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2059074114:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 20.21/3.97 % (2084785)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=3906015609:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.21/3.97 % (2084777)Instruction limit reached!
% 20.21/3.97 % (2084777)------------------------------
% 20.21/3.97 % (2084777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084777)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084777)Termination reason: Instruction limit
% 20.21/3.97 % (2084777)Termination phase: Saturation
% 20.21/3.97 % (2084777)Time elapsed: 0.095 s
% 20.21/3.97 % (2084777)Peak memory usage: 94 MB
% 20.21/3.97 % (2084777)Instructions burned: 158 (million)
% 20.21/3.97 % (2084852)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3588103313:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.21/3.97 % (2084785)Instruction limit reached!
% 20.21/3.97 % (2084785)------------------------------
% 20.21/3.97 % (2084785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084785)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084785)Termination reason: Instruction limit
% 20.21/3.97 % (2084785)Termination phase: Property scanning
% 20.21/3.97 % (2084785)Time elapsed: 0.147 s
% 20.21/3.97 % (2084785)Peak memory usage: 98 MB
% 20.21/3.97 % (2084785)Instructions burned: 248 (million)
% 20.21/3.97 % (2084852)Instruction limit reached!
% 20.21/3.97 % (2084852)------------------------------
% 20.21/3.97 % (2084852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084852)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084852)Termination reason: Instruction limit
% 20.21/3.97 % (2084852)Termination phase: Saturation
% 20.21/3.97 % (2084852)Time elapsed: 0.098 s
% 20.21/3.97 % (2084852)Peak memory usage: 97 MB
% 20.21/3.97 % (2084852)Instructions burned: 297 (million)
% 20.21/3.97 % (2084783)Instruction limit reached!
% 20.21/3.97 % (2084783)------------------------------
% 20.21/3.97 % (2084783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084783)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084783)Termination reason: Instruction limit
% 20.21/3.97 % (2084783)Termination phase: Saturation
% 20.21/3.97 % (2084783)Time elapsed: 0.230 s
% 20.21/3.97 % (2084783)Peak memory usage: 97 MB
% 20.21/3.97 % (2084783)Instructions burned: 326 (million)
% 20.21/3.97 % (2084914)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1700987009:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.21/3.97 % (2084943)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2371870045:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.21/3.97 % (2084946)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2313682699:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.21/3.97 % (2084946)Instruction limit reached!
% 20.21/3.97 % (2084946)------------------------------
% 20.21/3.97 % (2084946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084946)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084946)Termination reason: Instruction limit
% 20.21/3.97 % (2084946)Termination phase: Preprocessing 3
% 20.21/3.97 % (2084946)Time elapsed: 0.048 s
% 20.21/3.97 % (2084946)Peak memory usage: 97 MB
% 20.21/3.97 % (2084946)Instructions burned: 130 (million)
% 20.21/3.97 % (2084943)Instruction limit reached!
% 20.21/3.97 % (2084943)------------------------------
% 20.21/3.97 % (2084943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.21/3.97 % (2084943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.97 % (2084943)CaDiCaL version: 2.1.3
% 20.21/3.97 % (2084943)Termination reason: Instruction limit
% 40.40/7.67 % (2084943)Termination phase: Saturation
% 40.40/7.67 % (2084943)Time elapsed: 0.068 s
% 40.40/7.67 % (2084943)Peak memory usage: 95 MB
% 40.40/7.67 % (2084943)Instructions burned: 114 (million)
% 40.40/7.67 % (2084947)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3947462627:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 40.40/7.67 % (2084947)Instruction limit reached!
% 40.40/7.67 % (2084947)------------------------------
% 40.40/7.67 % (2084947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2084947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2084947)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2084947)Termination reason: Instruction limit
% 40.40/7.67 % (2084947)Termination phase: SInE selection
% 40.40/7.67 % (2084947)Time elapsed: 0.057 s
% 40.40/7.67 % (2084947)Peak memory usage: 89 MB
% 40.40/7.67 % (2084947)Instructions burned: 115 (million)
% 40.40/7.67 % (2084951)lrs+10_1_sil=8000:sp=occurrence:random_seed=1149483451:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 40.40/7.67 % (2084952)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3076268366:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 40.40/7.67 % (2084954)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4171807641:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 40.40/7.67 % (2084952)Instruction limit reached!
% 40.40/7.67 % (2084952)------------------------------
% 40.40/7.67 % (2084952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2084952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2084952)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2084952)Termination reason: Instruction limit
% 40.40/7.67 % (2084952)Termination phase: Saturation
% 40.40/7.67 % (2084952)Time elapsed: 0.291 s
% 40.40/7.67 % (2084952)Peak memory usage: 98 MB
% 40.40/7.67 % (2084952)Instructions burned: 438 (million)
% 40.40/7.67 % (2084951)Instruction limit reached!
% 40.40/7.67 % (2084951)------------------------------
% 40.40/7.67 % (2084951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2084951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2084951)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2084951)Termination reason: Instruction limit
% 40.40/7.67 % (2084951)Termination phase: Saturation
% 40.40/7.67 % (2084951)Time elapsed: 0.344 s
% 40.40/7.67 % (2084951)Peak memory usage: 107 MB
% 40.40/7.67 % (2084951)Instructions burned: 909 (million)
% 40.40/7.67 % (2085041)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4276814473:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 40.40/7.67 % (2085040)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2976229386:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 40.40/7.67 % (2085040)Instruction limit reached!
% 40.40/7.67 % (2085040)------------------------------
% 40.40/7.67 % (2085040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085040)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085040)Termination reason: Instruction limit
% 40.40/7.67 % (2085040)Termination phase: Saturation
% 40.40/7.67 % (2085040)Time elapsed: 0.046 s
% 40.40/7.67 % (2085040)Peak memory usage: 96 MB
% 40.40/7.67 % (2085040)Instructions burned: 134 (million)
% 40.40/7.67 % (2085063)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1218575773:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 40.40/7.67 % (2085041)Instruction limit reached!
% 40.40/7.67 % (2085041)------------------------------
% 40.40/7.67 % (2085041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085041)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085041)Termination reason: Instruction limit
% 40.40/7.67 % (2085041)Termination phase: Saturation
% 40.40/7.67 % (2085041)Time elapsed: 0.320 s
% 40.40/7.67 % (2085041)Peak memory usage: 106 MB
% 40.40/7.67 % (2085041)Instructions burned: 592 (million)
% 40.40/7.67 % (2085078)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=4261838189:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 40.40/7.67 % (2085078)Instruction limit reached!
% 40.40/7.67 % (2085078)------------------------------
% 40.40/7.67 % (2085078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085078)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085078)Termination reason: Instruction limit
% 40.40/7.67 % (2085078)Termination phase: Function definition elimination
% 40.40/7.67 % (2085078)Time elapsed: 0.078 s
% 40.40/7.67 % (2085078)Peak memory usage: 92 MB
% 40.40/7.67 % (2085078)Instructions burned: 126 (million)
% 40.40/7.67 % (2084914)Instruction limit reached!
% 40.40/7.67 % (2084914)------------------------------
% 40.40/7.67 % (2084914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2084914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2084914)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2084914)Termination reason: Instruction limit
% 40.40/7.67 % (2084914)Termination phase: Saturation
% 40.40/7.67 % (2084914)Time elapsed: 1.473 s
% 40.40/7.67 % (2084914)Peak memory usage: 188 MB
% 40.40/7.67 % (2084914)Instructions burned: 2351 (million)
% 40.40/7.67 % (2085080)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1290085990:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 40.40/7.67 % (2085080)Instruction limit reached!
% 40.40/7.67 % (2085080)------------------------------
% 40.40/7.67 % (2085080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085080)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085080)Termination reason: Instruction limit
% 40.40/7.67 % (2085080)Termination phase: Preprocessing 1
% 40.40/7.67 % (2085080)Time elapsed: 0.071 s
% 40.40/7.67 % (2085080)Peak memory usage: 90 MB
% 40.40/7.67 % (2085080)Instructions burned: 136 (million)
% 40.40/7.67 % (2085081)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1390085993:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 40.40/7.67 % (2085081)Instruction limit reached!
% 40.40/7.67 % (2085081)------------------------------
% 40.40/7.67 % (2085081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085081)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085081)Termination reason: Instruction limit
% 40.40/7.67 % (2085081)Termination phase: Saturation
% 40.40/7.67 % (2085081)Time elapsed: 0.096 s
% 40.40/7.67 % (2085081)Peak memory usage: 95 MB
% 40.40/7.67 % (2085081)Instructions burned: 142 (million)
% 40.40/7.67 % (2085084)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1869170159:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 40.40/7.67 % (2085087)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=896289293:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 40.40/7.67 % (2085084)Instruction limit reached!
% 40.40/7.67 % (2085084)------------------------------
% 40.40/7.67 % (2085084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085084)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085084)Termination reason: Instruction limit
% 40.40/7.67 % (2085084)Termination phase: Saturation
% 40.40/7.67 % (2085084)Time elapsed: 0.279 s
% 40.40/7.67 % (2085084)Peak memory usage: 97 MB
% 40.40/7.67 % (2085084)Instructions burned: 432 (million)
% 40.40/7.67 % (2085089)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=2309014587:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 40.40/7.67 % (2085089)Instruction limit reached!
% 40.40/7.67 % (2085089)------------------------------
% 40.40/7.67 % (2085089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085089)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085089)Termination reason: Instruction limit
% 40.40/7.67 % (2085089)Termination phase: Preprocessing 3
% 40.40/7.67 % (2085089)Time elapsed: 0.098 s
% 40.40/7.67 % (2085089)Peak memory usage: 97 MB
% 40.40/7.67 % (2085089)Instructions burned: 153 (million)
% 40.40/7.67 % (2085091)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3576809187:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 40.40/7.67 % (2084954)Instruction limit reached!
% 40.40/7.67 % (2084954)------------------------------
% 40.40/7.67 % (2084954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2084954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2084954)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2084954)Termination reason: Instruction limit
% 40.40/7.67 % (2084954)Termination phase: Saturation
% 40.40/7.67 % (2084954)Time elapsed: 3.801 s
% 40.40/7.67 % (2084954)Peak memory usage: 193 MB
% 40.40/7.67 % (2084954)Instructions burned: 5203 (million)
% 40.40/7.67 % (2085125)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1586490674:i=667:av=off:fsr=off_2950 on theBenchmark for (2950ds/667Mi)
% 40.40/7.67 % (2085125)Instruction limit reached!
% 40.40/7.67 % (2085125)------------------------------
% 40.40/7.67 % (2085125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085125)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085125)Termination reason: Instruction limit
% 40.40/7.67 % (2085125)Termination phase: Saturation
% 40.40/7.67 % (2085125)Time elapsed: 0.637 s
% 40.40/7.67 % (2085125)Peak memory usage: 107 MB
% 40.40/7.67 % (2085125)Instructions burned: 668 (million)
% 40.40/7.67 % (2085134)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1479311739:s2a=on:i=185:s2at=1.8:fdi=4_2940 on theBenchmark for (2940ds/185Mi)
% 40.40/7.67 % (2085134)Instruction limit reached!
% 40.40/7.67 % (2085134)------------------------------
% 40.40/7.67 % (2085134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085134)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085134)Termination reason: Instruction limit
% 40.40/7.67 % (2085134)Termination phase: NewCNF
% 40.40/7.67 % (2085134)Time elapsed: 0.140 s
% 40.40/7.67 % (2085134)Peak memory usage: 98 MB
% 40.40/7.67 % (2085134)Instructions burned: 185 (million)
% 40.40/7.67 % (2084646)First to succeed.
% 40.40/7.67 % (2084646)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2084326"
% 40.40/7.67 % (2085138)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1420343979:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2937 on theBenchmark for (2937ds/193Mi)
% 40.40/7.67 % (2085138)Instruction limit reached!
% 40.40/7.67 % (2085138)------------------------------
% 40.40/7.67 % (2085138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.40/7.67 % (2085138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.40/7.67 % (2085138)CaDiCaL version: 2.1.3
% 40.40/7.67 % (2085138)Termination reason: Instruction limit
% 40.40/7.67 % (2085138)Termination phase: Saturation
% 40.40/7.67 % (2085138)Time elapsed: 0.189 s
% 40.40/7.67 % (2085138)Peak memory usage: 98 MB
% 40.40/7.67 % (2085138)Instructions burned: 193 (million)
% 40.40/7.67 % (2084646)Refutation found. Thanks to Tanya!
% 40.40/7.67 % SZS status Theorem for theBenchmark
% 40.40/7.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/7.91 % (2084646)------------------------------
% 0.18/7.91 % (2084646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/7.91 % (2084646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/7.91 % (2084646)CaDiCaL version: 2.1.3
% 0.18/7.91 % (2084646)Termination reason: Refutation
% 0.18/7.91 % (2084646)Time elapsed: 5.970 s
% 0.18/7.91 % (2084646)Peak memory usage: 201 MB
% 0.18/7.91 % (2084646)Instructions burned: 7648 (million)
% 0.18/7.91 % (2084646)------------------------------
% 0.18/7.91 % (2084646)------------------------------
% 0.18/7.91 % (2084326)Success in time 6.809 s
% 0.18/7.91 % Vampire exiting
%------------------------------------------------------------------------------