%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP640+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:13 AM UTC 2026
% Result : Theorem 15.41s 3.29s
% Output : Refutation 16.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 116 ( 29 unt; 5 def)
% Number of atoms : 507 ( 42 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 661 ( 270 ~; 269 |; 90 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 138 ( 0 sgn 126 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1318,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1890,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f4544,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f5116,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f5119,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0)
& m1_group_2(X2,X0) )
=> ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_4) ).
fof(f5642,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
=> r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsubgr) ).
fof(f5651,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_latsubgr) ).
fof(f5652,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X0)
=> ! [X3] :
( m1_group_2(X3,X0)
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
=> k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5))) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5651]) ).
fof(f5694,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5642]) ).
fof(f5695,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_group_2(X2,X0) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5694]) ).
fof(f5708,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f5652]) ).
fof(f5709,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k8_group_4(X0,X2,X3))) != k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X4,u1_struct_0(k5_group_4(X0,X5)))
& X5 = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1)) )
& m1_group_2(X3,X0) )
& m1_group_2(X2,X0) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f5708]) ).
fof(f5840,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f4544]) ).
fof(f5841,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f5840]) ).
fof(f5848,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f5116]) ).
fof(f5849,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f5848]) ).
fof(f5886,plain,
! [X0,X1,X2] :
( ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f5119]) ).
fof(f5887,plain,
! [X0,X1,X2] :
( ( v1_group_1(k8_group_4(X0,X1,X2))
& m1_group_2(k8_group_4(X0,X1,X2),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f5886]) ).
fof(f5922,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1890]) ).
fof(f5923,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f5922]) ).
fof(f8525,plain,
( k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16)))
& sK16 = k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14))
& m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
& v1_funct_1(sK15)
& v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
& m2_relset_1(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
& m1_group_2(sK14,sK11)
& m1_group_2(sK13,sK11)
& ~ v3_struct_0(sK12)
& v3_group_1(sK12)
& v4_group_1(sK12)
& l1_group_1(sK12)
& ~ v3_struct_0(sK11)
& v3_group_1(sK11)
& v4_group_1(sK11)
& l1_group_1(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15),skolemize(X5,sK16)],[f5709]) ).
fof(f8559,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,[],[f1318]) ).
fof(f8573,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(nnf_transformation,[],[f5841]) ).
fof(f9364,plain,
! [X2,X3,X0,X1] :
( r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,X3))
| k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5695]) ).
fof(f9376,plain,
l1_group_1(sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9377,plain,
v4_group_1(sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9378,plain,
v3_group_1(sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9379,plain,
~ v3_struct_0(sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9384,plain,
m1_group_2(sK13,sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9385,plain,
m1_group_2(sK14,sK11),
inference(cnf_transformation,[],[f8525]) ).
fof(f9386,plain,
m2_relset_1(sK15,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f8525]) ).
fof(f9387,plain,
v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(cnf_transformation,[],[f8525]) ).
fof(f9388,plain,
v1_funct_1(sK15),
inference(cnf_transformation,[],[f8525]) ).
fof(f9389,plain,
m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11))),
inference(cnf_transformation,[],[f8525]) ).
fof(f9390,plain,
sK16 = k2_xboole_0(u1_struct_0(sK13),u1_struct_0(sK14)),
inference(cnf_transformation,[],[f8525]) ).
fof(f9391,plain,
k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14))) != k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16))),
inference(cnf_transformation,[],[f8525]) ).
fof(f9477,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8559]) ).
fof(f9584,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ r1_group_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| X1 = X2
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f8573]) ).
fof(f9593,plain,
! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f5849]) ).
fof(f9594,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_group_1(k5_group_4(X0,X1)) ),
inference(cnf_transformation,[],[f5849]) ).
fof(f9654,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(k8_group_4(X0,X1,X2),X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f5887]) ).
fof(f9655,plain,
! [X2,X0,X1] :
( v1_group_1(k8_group_4(X0,X1,X2))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f5887]) ).
fof(f9681,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k9_relat_1(X2,X3) = k2_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f5923]) ).
fof(f13791,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| r1_group_2(X0,k8_group_4(X0,X1,X2),k5_group_4(X0,k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))))
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9364]) ).
fof(f14516,plain,
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK16)) ),
inference(resolution,[],[f9594,f9389]) ).
fof(f14517,plain,
( ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK16)) ),
inference(forward_subsumption_resolution,[],[f14516,f9379]) ).
fof(f14518,plain,
( ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK16)) ),
inference(forward_subsumption_resolution,[],[f14517,f9378]) ).
fof(f14519,plain,
( ~ l1_group_1(sK11)
| v1_group_1(k5_group_4(sK11,sK16)) ),
inference(forward_subsumption_resolution,[],[f14518,f9377]) ).
fof(f14520,plain,
v1_group_1(k5_group_4(sK11,sK16)),
inference(forward_subsumption_resolution,[],[f14519,f9376]) ).
fof(f14549,plain,
! [X0,X1] :
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| m1_group_2(k8_group_4(sK11,X0,X1),sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(X0,sK11)
| ~ m1_group_2(X1,sK11) ),
inference(resolution,[],[f9654,f9377]) ).
fof(f14550,plain,
! [X0,X1] :
( ~ v3_group_1(sK11)
| m1_group_2(k8_group_4(sK11,X0,X1),sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(X0,sK11)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14549,f9379]) ).
fof(f14552,plain,
! [X0,X1] :
( m1_group_2(k8_group_4(sK11,X0,X1),sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(X0,sK11)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14550,f9378]) ).
fof(f14554,plain,
! [X0,X1] :
( m1_group_2(k8_group_4(sK11,X0,X1),sK11)
| ~ m1_group_2(X0,sK11)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14552,f9376]) ).
fof(f14557,plain,
! [X0,X1] :
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(X1,sK11)
| ~ m1_group_2(X0,sK11)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| r1_group_2(sK11,k8_group_4(sK11,X0,X1),k5_group_4(sK11,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| ~ l1_group_1(sK11) ),
inference(resolution,[],[f13791,f9377]) ).
fof(f14558,plain,
! [X0,X1] :
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(X1,sK11)
| ~ m1_group_2(X0,sK11)
| ~ v3_group_1(sK11)
| r1_group_2(sK11,k8_group_4(sK11,X0,X1),k5_group_4(sK11,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14557,f9379]) ).
fof(f14560,plain,
! [X0,X1] :
( ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK11)))
| ~ m1_group_2(X1,sK11)
| ~ m1_group_2(X0,sK11)
| r1_group_2(sK11,k8_group_4(sK11,X0,X1),k5_group_4(sK11,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| ~ l1_group_1(sK11) ),
inference(forward_subsumption_resolution,[],[f14558,f9378]) ).
fof(f14562,plain,
! [X0,X1] :
( r1_group_2(sK11,k8_group_4(sK11,X0,X1),k5_group_4(sK11,k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))))
| ~ m1_group_2(X1,sK11)
| ~ m1_group_2(X0,sK11)
| ~ m1_subset_1(k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_subsumption_resolution,[],[f14560,f9376]) ).
fof(f14564,plain,
m1_relset_1(sK15,u1_struct_0(sK11),u1_struct_0(sK12)),
inference(resolution,[],[f9477,f9386]) ).
fof(f14565,plain,
! [X0] :
( ~ v1_funct_1(sK15)
| ~ v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
| k9_relat_1(sK15,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,X0) ),
inference(resolution,[],[f14564,f9681]) ).
fof(f14566,plain,
! [X0] :
( ~ v1_funct_2(sK15,u1_struct_0(sK11),u1_struct_0(sK12))
| k9_relat_1(sK15,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,X0) ),
inference(forward_subsumption_resolution,[],[f14565,f9388]) ).
fof(f14567,plain,
! [X0] : k9_relat_1(sK15,X0) = k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,X0),
inference(forward_subsumption_resolution,[],[f14566,f9387]) ).
fof(f14568,plain,
k2_funct_2(u1_struct_0(sK11),u1_struct_0(sK12),sK15,u1_struct_0(k5_group_4(sK11,sK16))) != k9_relat_1(sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14))),
inference(superposition,[],[f9391,f14567]) ).
fof(f14569,plain,
k9_relat_1(sK15,u1_struct_0(k8_group_4(sK11,sK13,sK14))) != k9_relat_1(sK15,u1_struct_0(k5_group_4(sK11,sK16))),
inference(forward_demodulation,[],[f14568,f14567]) ).
fof(f14570,plain,
( r1_group_2(sK11,k8_group_4(sK11,sK13,sK14),k5_group_4(sK11,sK16))
| ~ m1_group_2(sK14,sK11)
| ~ m1_group_2(sK13,sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(superposition,[],[f14562,f9390]) ).
fof(f14573,plain,
( r1_group_2(sK11,k8_group_4(sK11,sK13,sK14),k5_group_4(sK11,sK16))
| ~ m1_group_2(sK13,sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_subsumption_resolution,[],[f14570,f9385]) ).
fof(f14574,plain,
( r1_group_2(sK11,k8_group_4(sK11,sK13,sK14),k5_group_4(sK11,sK16))
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_subsumption_resolution,[],[f14573,f9384]) ).
fof(f14575,plain,
r1_group_2(sK11,k8_group_4(sK11,sK13,sK14),k5_group_4(sK11,sK16)),
inference(forward_subsumption_resolution,[],[f14574,f9389]) ).
fof(f14590,plain,
! [X0,X1] :
( ~ r1_group_2(sK11,X0,X1)
| v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| X0 = X1
| ~ l1_group_1(sK11)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK11)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK11) ),
inference(resolution,[],[f9584,f9377]) ).
fof(f14591,plain,
! [X0,X1] :
( ~ r1_group_2(sK11,X0,X1)
| ~ v3_group_1(sK11)
| X0 = X1
| ~ l1_group_1(sK11)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK11)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14590,f9379]) ).
fof(f14593,plain,
! [X0,X1] :
( ~ r1_group_2(sK11,X0,X1)
| X0 = X1
| ~ l1_group_1(sK11)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK11)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14591,f9378]) ).
fof(f14595,plain,
! [X0,X1] :
( ~ v1_group_1(X1)
| X0 = X1
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK11)
| ~ r1_group_2(sK11,X0,X1)
| ~ m1_group_2(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f14593,f9376]) ).
fof(f14597,plain,
! [X0] :
( k5_group_4(sK11,sK16) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK11)
| ~ r1_group_2(sK11,X0,k5_group_4(sK11,sK16))
| ~ m1_group_2(k5_group_4(sK11,sK16),sK11) ),
inference(resolution,[],[f14595,f14520]) ).
fof(f14600,definition,
( spl498_15
<=> m1_group_2(k5_group_4(sK11,sK16),sK11) ),
introduced(definition,[new_symbols(definition,[spl498_15])],[avatar_definition]) ).
fof(f14601,plain,
( ~ m1_group_2(k5_group_4(sK11,sK16),sK11)
| spl498_15 ),
inference(avatar_component_clause,[],[f14600]) ).
fof(f14603,definition,
( spl498_16
<=> ! [X0] :
( k5_group_4(sK11,sK16) = X0
| ~ r1_group_2(sK11,X0,k5_group_4(sK11,sK16))
| ~ m1_group_2(X0,sK11)
| ~ v1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl498_16])],[avatar_definition]) ).
fof(f14604,plain,
( ! [X0] :
( ~ r1_group_2(sK11,X0,k5_group_4(sK11,sK16))
| k5_group_4(sK11,sK16) = X0
| ~ m1_group_2(X0,sK11)
| ~ v1_group_1(X0) )
| ~ spl498_16 ),
inference(avatar_component_clause,[],[f14603]) ).
fof(f14605,plain,
( ~ spl498_15
| spl498_16 ),
inference(avatar_split_clause,[],[f14597,f14603,f14600]) ).
fof(f14607,plain,
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
| spl498_15 ),
inference(resolution,[],[f14601,f9593]) ).
fof(f14609,plain,
( ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
| spl498_15 ),
inference(forward_subsumption_resolution,[],[f14607,f9379]) ).
fof(f14610,plain,
( ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
| spl498_15 ),
inference(forward_subsumption_resolution,[],[f14609,f9378]) ).
fof(f14611,plain,
( ~ l1_group_1(sK11)
| ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
| spl498_15 ),
inference(forward_subsumption_resolution,[],[f14610,f9377]) ).
fof(f14612,plain,
( ~ m1_subset_1(sK16,k1_zfmisc_1(u1_struct_0(sK11)))
| spl498_15 ),
inference(forward_subsumption_resolution,[],[f14611,f9376]) ).
fof(f14613,plain,
( $false
| spl498_15 ),
inference(forward_subsumption_resolution,[],[f14612,f9389]) ).
fof(f14614,plain,
spl498_15,
inference(avatar_contradiction_clause,[],[f14613]) ).
fof(f14791,definition,
( spl498_25
<=> m1_group_2(k8_group_4(sK11,sK13,sK14),sK11) ),
introduced(definition,[new_symbols(definition,[spl498_25])],[avatar_definition]) ).
fof(f14792,plain,
( ~ m1_group_2(k8_group_4(sK11,sK13,sK14),sK11)
| spl498_25 ),
inference(avatar_component_clause,[],[f14791]) ).
fof(f14797,definition,
( spl498_27
<=> v1_group_1(k8_group_4(sK11,sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl498_27])],[avatar_definition]) ).
fof(f14798,plain,
( ~ v1_group_1(k8_group_4(sK11,sK13,sK14))
| spl498_27 ),
inference(avatar_component_clause,[],[f14797]) ).
fof(f15054,plain,
( k8_group_4(sK11,sK13,sK14) = k5_group_4(sK11,sK16)
| ~ m1_group_2(k8_group_4(sK11,sK13,sK14),sK11)
| ~ v1_group_1(k8_group_4(sK11,sK13,sK14))
| ~ spl498_16 ),
inference(resolution,[],[f14604,f14575]) ).
fof(f15058,definition,
( spl498_51
<=> k8_group_4(sK11,sK13,sK14) = k5_group_4(sK11,sK16) ),
introduced(definition,[new_symbols(definition,[spl498_51])],[avatar_definition]) ).
fof(f15059,plain,
( k8_group_4(sK11,sK13,sK14) = k5_group_4(sK11,sK16)
| ~ spl498_51 ),
inference(avatar_component_clause,[],[f15058]) ).
fof(f15060,plain,
( ~ spl498_27
| ~ spl498_25
| spl498_51
| ~ spl498_16 ),
inference(avatar_split_clause,[],[f15054,f14603,f15058,f14791,f14797]) ).
fof(f15073,plain,
( ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_25 ),
inference(resolution,[],[f14792,f14554]) ).
fof(f15076,plain,
( ~ m1_group_2(sK14,sK11)
| spl498_25 ),
inference(forward_subsumption_resolution,[],[f15073,f9384]) ).
fof(f15077,plain,
( $false
| spl498_25 ),
inference(forward_subsumption_resolution,[],[f15076,f9385]) ).
fof(f15078,plain,
spl498_25,
inference(avatar_contradiction_clause,[],[f15077]) ).
fof(f15080,plain,
( v3_struct_0(sK11)
| ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(resolution,[],[f14798,f9655]) ).
fof(f15082,plain,
( ~ v3_group_1(sK11)
| ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15080,f9379]) ).
fof(f15083,plain,
( ~ v4_group_1(sK11)
| ~ l1_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15082,f9378]) ).
fof(f15084,plain,
( ~ l1_group_1(sK11)
| ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15083,f9377]) ).
fof(f15085,plain,
( ~ m1_group_2(sK13,sK11)
| ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15084,f9376]) ).
fof(f15086,plain,
( ~ m1_group_2(sK14,sK11)
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15085,f9384]) ).
fof(f15087,plain,
( $false
| spl498_27 ),
inference(forward_subsumption_resolution,[],[f15086,f9385]) ).
fof(f15088,plain,
spl498_27,
inference(avatar_contradiction_clause,[],[f15087]) ).
fof(f15102,plain,
( k9_relat_1(sK15,u1_struct_0(k5_group_4(sK11,sK16))) != k9_relat_1(sK15,u1_struct_0(k5_group_4(sK11,sK16)))
| ~ spl498_51 ),
inference(superposition,[],[f14569,f15059]) ).
fof(f15117,plain,
( $false
| ~ spl498_51 ),
inference(trivial_inequality_removal,[],[f15102]) ).
fof(f15118,plain,
~ spl498_51,
inference(avatar_contradiction_clause,[],[f15117]) ).
cnf(s12,plain,
( ~ spl498_15
| spl498_16 ),
inference(sat_conversion,[],[f14605]) ).
cnf(s14,plain,
spl498_15,
inference(sat_conversion,[],[f14614]) ).
cnf(s39,plain,
( ~ spl498_16
| ~ spl498_25
| ~ spl498_27
| spl498_51 ),
inference(sat_conversion,[],[f15060]) ).
cnf(s43,plain,
spl498_25,
inference(sat_conversion,[],[f15078]) ).
cnf(s45,plain,
spl498_27,
inference(sat_conversion,[],[f15088]) ).
cnf(s47,plain,
~ spl498_51,
inference(sat_conversion,[],[f15118]) ).
cnf(s51,plain,
~ spl498_16,
inference(rat,[],[s39,s47,s45,s43]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s12,s51,s14]) ).
fof(f15184,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP640+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.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 : Sun Sep 27 10:21:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.46/2.83 % (3784457)Detected formulas, will run a generic FOF schedule.
% 12.46/2.83 % (3784466)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4209593357:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 12.46/2.83 % (3784467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=777687949:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 12.46/2.83 % (3784463)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=3607167873:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 12.46/2.83 % (3784468)dis-21_1_sil=8000:lcm=predicate:random_seed=2103353993:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 12.46/2.83 % (3784465)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=649011722:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 12.46/2.83 % (3784464)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=183374401:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 12.46/2.83 % (3784462)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=201191484:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 12.46/2.83 % (3784466)Instruction limit reached!
% 12.46/2.83 % (3784466)------------------------------
% 12.46/2.83 % (3784466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.83 % (3784466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.83 % (3784466)CaDiCaL version: 2.1.3
% 12.46/2.83 % (3784466)Termination reason: Instruction limit
% 12.46/2.83 % (3784466)Termination phase: Saturation
% 12.46/2.83 % (3784466)Time elapsed: 0.046 s
% 12.46/2.83 % (3784466)Peak memory usage: 96 MB
% 12.46/2.83 % (3784466)Instructions burned: 121 (million)
% 12.46/2.83 % (3784465)Instruction limit reached!
% 12.46/2.83 % (3784465)------------------------------
% 12.46/2.83 % (3784465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.83 % (3784465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.83 % (3784465)CaDiCaL version: 2.1.3
% 12.46/2.83 % (3784465)Termination reason: Instruction limit
% 12.46/2.83 % (3784465)Termination phase: Saturation
% 12.46/2.83 % (3784465)Time elapsed: 0.072 s
% 12.46/2.83 % (3784465)Peak memory usage: 95 MB
% 12.46/2.83 % (3784465)Instructions burned: 110 (million)
% 12.46/2.83 % (3784467)Instruction limit reached!
% 12.46/2.83 % (3784467)------------------------------
% 12.46/2.83 % (3784467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.83 % (3784467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.83 % (3784467)CaDiCaL version: 2.1.3
% 12.46/2.83 % (3784467)Termination reason: Instruction limit
% 12.46/2.83 % (3784467)Termination phase: Unused predicate definition removal
% 12.46/2.83 % (3784467)Time elapsed: 0.084 s
% 12.46/2.83 % (3784467)Peak memory usage: 92 MB
% 12.46/2.83 % (3784467)Instructions burned: 139 (million)
% 12.46/2.83 % (3784468)Instruction limit reached!
% 12.46/2.83 % (3784468)------------------------------
% 12.46/2.83 % (3784468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.46/2.83 % (3784468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.46/2.83 % (3784468)CaDiCaL version: 2.1.3
% 12.46/2.83 % (3784468)Termination reason: Instruction limit
% 12.46/2.83 % (3784468)Termination phase: Preprocessing 3
% 12.46/2.83 % (3784468)Time elapsed: 0.096 s
% 12.46/2.83 % (3784468)Peak memory usage: 96 MB
% 12.46/2.83 % (3784468)Instructions burned: 130 (million)
% 12.46/2.83 % (3784476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2404165710:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 12.46/2.83 % (3784478)lrs+1011_1_sil=32000:sp=occurrence:random_seed=774590577:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.46/2.83 % (3784479)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=2472046050:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 12.46/2.83 % (3784477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=389233469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.46/2.83 % (3784476)Instruction limit reached!
% 15.41/3.29 % (3784476)------------------------------
% 15.41/3.29 % (3784476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784476)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784476)Termination reason: Instruction limit
% 15.41/3.29 % (3784476)Termination phase: Saturation
% 15.41/3.29 % (3784476)Time elapsed: 0.105 s
% 15.41/3.29 % (3784476)Peak memory usage: 100 MB
% 15.41/3.29 % (3784476)Instructions burned: 285 (million)
% 15.41/3.29 % (3784477)Instruction limit reached!
% 15.41/3.29 % (3784477)------------------------------
% 15.41/3.29 % (3784477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784477)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784477)Termination reason: Instruction limit
% 15.41/3.29 % (3784477)Termination phase: Saturation
% 15.41/3.29 % (3784477)Time elapsed: 0.091 s
% 15.41/3.29 % (3784477)Peak memory usage: 96 MB
% 15.41/3.29 % (3784477)Instructions burned: 157 (million)
% 15.41/3.29 % (3784484)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1688715004:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.41/3.29 % (3784479)Instruction limit reached!
% 15.41/3.29 % (3784479)------------------------------
% 15.41/3.29 % (3784479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784479)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784479)Termination reason: Instruction limit
% 15.41/3.29 % (3784479)Termination phase: Preprocessing 3
% 15.41/3.29 % (3784479)Time elapsed: 0.152 s
% 15.41/3.29 % (3784479)Peak memory usage: 100 MB
% 15.41/3.29 % (3784479)Instructions burned: 250 (million)
% 15.41/3.29 % (3784478)Instruction limit reached!
% 15.41/3.29 % (3784478)------------------------------
% 15.41/3.29 % (3784478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784478)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784478)Termination reason: Instruction limit
% 15.41/3.29 % (3784478)Termination phase: Saturation
% 15.41/3.29 % (3784478)Time elapsed: 0.218 s
% 15.41/3.29 % (3784478)Peak memory usage: 98 MB
% 15.41/3.29 % (3784478)Instructions burned: 325 (million)
% 15.41/3.29 % (3784484)Instruction limit reached!
% 15.41/3.29 % (3784484)------------------------------
% 15.41/3.29 % (3784484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784484)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784484)Termination reason: Instruction limit
% 15.41/3.29 % (3784484)Termination phase: Saturation
% 15.41/3.29 % (3784484)Time elapsed: 0.099 s
% 15.41/3.29 % (3784484)Peak memory usage: 100 MB
% 15.41/3.29 % (3784484)Instructions burned: 296 (million)
% 15.41/3.29 % (3784485)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=132124253:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 15.41/3.29 % (3784487)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1301950113:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 15.41/3.29 % (3784488)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=539583311:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.41/3.29 % (3784490)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2284415657:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 15.41/3.29 % (3784487)Instruction limit reached!
% 15.41/3.29 % (3784487)------------------------------
% 15.41/3.29 % (3784487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784487)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784487)Termination reason: Instruction limit
% 15.41/3.29 % (3784487)Termination phase: Property scanning
% 15.41/3.29 % (3784487)Time elapsed: 0.082 s
% 15.41/3.29 % (3784487)Peak memory usage: 95 MB
% 15.41/3.29 % (3784487)Instructions burned: 114 (million)
% 15.41/3.29 % (3784490)Instruction limit reached!
% 15.41/3.29 % (3784490)------------------------------
% 15.41/3.29 % (3784490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784490)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784490)Termination reason: Instruction limit
% 15.41/3.29 % (3784490)Termination phase: Property scanning
% 15.41/3.29 % (3784490)Time elapsed: 0.027 s
% 15.41/3.29 % (3784490)Peak memory usage: 91 MB
% 15.41/3.29 % (3784490)Instructions burned: 114 (million)
% 15.41/3.29 % (3784488)Instruction limit reached!
% 15.41/3.29 % (3784488)------------------------------
% 15.41/3.29 % (3784488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784488)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784488)Termination reason: Instruction limit
% 15.41/3.29 % (3784488)Termination phase: Preprocessing 3
% 15.41/3.29 % (3784488)Time elapsed: 0.091 s
% 15.41/3.29 % (3784488)Peak memory usage: 99 MB
% 15.41/3.29 % (3784488)Instructions burned: 127 (million)
% 15.41/3.29 % (3784494)lrs+10_1_sil=8000:sp=occurrence:random_seed=2745534915:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 15.41/3.29 % (3784495)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1971830712:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 15.41/3.29 % (3784496)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2792170523:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 15.41/3.29 % (3784495)Instruction limit reached!
% 15.41/3.29 % (3784495)------------------------------
% 15.41/3.29 % (3784495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784495)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784495)Termination reason: Instruction limit
% 15.41/3.29 % (3784495)Termination phase: Saturation
% 15.41/3.29 % (3784495)Time elapsed: 0.282 s
% 15.41/3.29 % (3784495)Peak memory usage: 99 MB
% 15.41/3.29 % (3784495)Instructions burned: 437 (million)
% 15.41/3.29 % (3784494)Instruction limit reached!
% 15.41/3.29 % (3784494)------------------------------
% 15.41/3.29 % (3784494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784494)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784494)Termination reason: Instruction limit
% 15.41/3.29 % (3784494)Termination phase: Saturation
% 15.41/3.29 % (3784494)Time elapsed: 0.328 s
% 15.41/3.29 % (3784494)Peak memory usage: 110 MB
% 15.41/3.29 % (3784494)Instructions burned: 909 (million)
% 15.41/3.29 % (3784501)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1500984247:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 15.41/3.29 % (3784500)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2266598652:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 15.41/3.29 % (3784500)Instruction limit reached!
% 15.41/3.29 % (3784500)------------------------------
% 15.41/3.29 % (3784500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784500)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784500)Termination reason: Instruction limit
% 15.41/3.29 % (3784500)Termination phase: Saturation
% 15.41/3.29 % (3784500)Time elapsed: 0.089 s
% 15.41/3.29 % (3784500)Peak memory usage: 97 MB
% 15.41/3.29 % (3784500)Instructions burned: 135 (million)
% 15.41/3.29 % (3784501)Instruction limit reached!
% 15.41/3.29 % (3784501)------------------------------
% 15.41/3.29 % (3784501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784501)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784501)Termination reason: Instruction limit
% 15.41/3.29 % (3784501)Termination phase: Property scanning
% 15.41/3.29 % (3784501)Time elapsed: 0.177 s
% 15.41/3.29 % (3784501)Peak memory usage: 103 MB
% 15.41/3.29 % (3784501)Instructions burned: 593 (million)
% 15.41/3.29 % (3784504)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=875656024:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 15.41/3.29 % (3784505)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=2468616802:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 15.41/3.29 % (3784505)Instruction limit reached!
% 15.41/3.29 % (3784505)------------------------------
% 15.41/3.29 % (3784505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784505)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784505)Termination reason: Instruction limit
% 15.41/3.29 % (3784505)Termination phase: Preprocessing 3
% 15.41/3.29 % (3784505)Time elapsed: 0.048 s
% 15.41/3.29 % (3784505)Peak memory usage: 93 MB
% 15.41/3.29 % (3784505)Instructions burned: 127 (million)
% 15.41/3.29 % (3784463)First to succeed.
% 15.41/3.29 % (3784463)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3784457"
% 15.41/3.29 % (3784508)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1112385332:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 15.41/3.29 % (3784508)Instruction limit reached!
% 15.41/3.29 % (3784508)------------------------------
% 15.41/3.29 % (3784508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784508)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784508)Termination reason: Instruction limit
% 15.41/3.29 % (3784508)Termination phase: Property scanning
% 15.41/3.29 % (3784508)Time elapsed: 0.032 s
% 15.41/3.29 % (3784508)Peak memory usage: 91 MB
% 15.41/3.29 % (3784508)Instructions burned: 137 (million)
% 15.41/3.29 % (3784510)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2792248261:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 15.41/3.29 % (3784496)Also succeeded, but the first one will report.
% 15.41/3.29 % (3784510)Instruction limit reached!
% 15.41/3.29 % (3784510)------------------------------
% 15.41/3.29 % (3784510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.29 % (3784510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.29 % (3784510)CaDiCaL version: 2.1.3
% 15.41/3.29 % (3784510)Termination reason: Instruction limit
% 15.41/3.29 % (3784510)Termination phase: Saturation
% 15.41/3.29 % (3784510)Time elapsed: 0.051 s
% 15.41/3.29 % (3784510)Peak memory usage: 96 MB
% 15.41/3.29 % (3784510)Instructions burned: 145 (million)
% 15.41/3.29 % (3784463)Refutation found. Thanks to Tanya!
% 15.41/3.29 % SZS status Theorem for theBenchmark
% 15.41/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 16.17/3.39 % (3784463)------------------------------
% 16.17/3.39 % (3784463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.17/3.39 % (3784463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/3.39 % (3784463)CaDiCaL version: 2.1.3
% 16.17/3.39 % (3784463)Termination reason: Refutation
% 16.17/3.39 % (3784463)Time elapsed: 1.690 s
% 16.17/3.39 % (3784463)Peak memory usage: 192 MB
% 16.17/3.39 % (3784463)Instructions burned: 2738 (million)
% 16.17/3.39 % (3784463)------------------------------
% 16.17/3.39 % (3784463)------------------------------
% 16.17/3.39 % (3784457)Success in time 2.438 s
% 16.17/3.39 % Vampire exiting
%------------------------------------------------------------------------------