%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP622+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 10:15:03 AM UTC 2026
% Result : Theorem 22.78s 4.69s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 31
% Syntax : Number of formulae : 229 ( 41 unt; 10 def)
% Number of atoms : 878 ( 51 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 1077 ( 428 ~; 501 |; 104 &)
% ( 20 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 11 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 263 ( 0 sgn 256 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f1828,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,X0,X0)
& m2_relset_1(X1,X0,X0) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f2371,axiom,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k1_tarski(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_funcop_1) ).
fof(f2935,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f2937,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2939,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f4447,axiom,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_card_3) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f8765,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_group_2) ).
fof(f8791,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k7_group_2(X0,X1) = u1_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_group_2) ).
fof(f8898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f8909,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_group_2) ).
fof(f9504,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
=> ( r1_tarski(X1,u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_4) ).
fof(f9582,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(f12870,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f12891,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_autgroup) ).
fof(f12892,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[status(cth)],[f12891]) ).
fof(f12938,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12870]) ).
fof(f12939,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12938]) ).
fof(f12978,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f12892]) ).
fof(f12979,plain,
? [X0] :
( ~ r1_tarski(k4_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f12978]) ).
fof(f12981,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2937]) ).
fof(f12982,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f12981]) ).
fof(f12985,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2935]) ).
fof(f12986,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f12985]) ).
fof(f13015,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8898]) ).
fof(f13016,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13015]) ).
fof(f13021,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8765]) ).
fof(f13022,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13021]) ).
fof(f13089,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13179,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f13180,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f2939]) ).
fof(f13468,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f1828]) ).
fof(f13469,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(flattening,[],[f13468]) ).
fof(f13858,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,[],[f9582]) ).
fof(f13859,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,[],[f13858]) ).
fof(f13866,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(ennf_transformation,[],[f9504]) ).
fof(f13867,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k5_group_4(X0,X1)
<=> ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(flattening,[],[f13866]) ).
fof(f14356,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f14365,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f14366,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14365]) ).
fof(f14838,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f8909]) ).
fof(f14839,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(flattening,[],[f14838]) ).
fof(f14854,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8791]) ).
fof(f14855,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14854]) ).
fof(f16143,plain,
( ~ r1_tarski(k4_autgroup(sK31),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31)))
& ~ v3_struct_0(sK31)
& v1_group_1(sK31)
& v3_group_1(sK31)
& v4_group_1(sK31)
& l1_group_1(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f12979]) ).
fof(f16144,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f12982]) ).
fof(f16197,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f16203,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f16204,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f16203]) ).
fof(f16205,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f13179]) ).
fof(f16206,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f16205]) ).
fof(f16207,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK72(X0,X1),X1)
& r2_hidden(sK72(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(X2,sK72(X0,X1))],[f16206]) ).
fof(f16401,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(nnf_transformation,[],[f13867]) ).
fof(f16402,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X3] :
( m1_group_2(X2,X3)
| ~ r1_tarski(X1,u1_struct_0(X3))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(flattening,[],[f16401]) ).
fof(f16403,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ? [X3] :
( ~ m1_group_2(X2,X3)
& r1_tarski(X1,u1_struct_0(X3))
& v1_group_1(X3)
& m1_group_2(X3,X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(rectify,[],[f16402]) ).
fof(f16404,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k5_group_4(X0,X1)
| ~ r1_tarski(X1,u1_struct_0(X2))
| ( ~ m1_group_2(X2,sK209(X0,X1,X2))
& r1_tarski(X1,u1_struct_0(sK209(X0,X1,X2)))
& v1_group_1(sK209(X0,X1,X2))
& m1_group_2(sK209(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,u1_struct_0(X2))
& ! [X4] :
( m1_group_2(X2,X4)
| ~ r1_tarski(X1,u1_struct_0(X4))
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| k5_group_4(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ 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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK209]),skolemize(X3,sK209(X0,X1,X2))],[f16403]) ).
fof(f17117,plain,
! [X0] :
( m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12939]) ).
fof(f17185,plain,
l1_group_1(sK31),
inference(cnf_transformation,[],[f16143]) ).
fof(f17186,plain,
v4_group_1(sK31),
inference(cnf_transformation,[],[f16143]) ).
fof(f17187,plain,
v3_group_1(sK31),
inference(cnf_transformation,[],[f16143]) ).
fof(f17188,plain,
v1_group_1(sK31),
inference(cnf_transformation,[],[f16143]) ).
fof(f17189,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f16143]) ).
fof(f17190,plain,
~ r1_tarski(k4_autgroup(sK31),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31))),
inference(cnf_transformation,[],[f16143]) ).
fof(f17193,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f16144]) ).
fof(f17195,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12986]) ).
fof(f17196,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12986]) ).
fof(f17197,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12986]) ).
fof(f17241,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13016]) ).
fof(f17243,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13016]) ).
fof(f17246,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13022]) ).
fof(f17304,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13089]) ).
fof(f17422,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f16197]) ).
fof(f17437,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f16204]) ).
fof(f17440,plain,
! [X0,X1] :
( r2_hidden(sK72(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f16207]) ).
fof(f17441,plain,
! [X0,X1] :
( ~ r2_hidden(sK72(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f16207]) ).
fof(f17442,plain,
! [X0,X1] :
( k1_funct_2(X0,X1) = k1_fraenkel(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f13180]) ).
fof(f17841,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f13469]) ).
fof(f18384,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13859]) ).
fof(f18385,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k5_group_4(X0,X1))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13859]) ).
fof(f18390,plain,
! [X2,X0,X1] :
( r1_tarski(X1,u1_struct_0(X2))
| k5_group_4(X0,X1) != X2
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ 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) ),
inference(cnf_transformation,[],[f16404]) ).
fof(f18952,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
inference(cnf_transformation,[],[f4447]) ).
fof(f18981,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14356]) ).
fof(f18992,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14366]) ).
fof(f19099,plain,
! [X0,X1] : k2_zfmisc_1(X0,k1_tarski(X1)) = k2_funcop_1(X0,X1),
inference(cnf_transformation,[],[f2371]) ).
fof(f19749,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0) ),
inference(cnf_transformation,[],[f14839]) ).
fof(f19763,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| u1_struct_0(X1) = k7_group_2(X0,X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14855]) ).
fof(f19965,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f21297,plain,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f19099,f19965]) ).
fof(f21299,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(X1,X1))),
inference(definition_unfolding,[],[f18952,f21297]) ).
fof(f21332,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| k1_fraenkel(X0,X1) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(X1,X1))) ),
inference(definition_unfolding,[],[f17442,f21299]) ).
fof(f21427,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| r2_hidden(X1,k4_card_3(k2_zfmisc_1(X0,k2_tarski(X0,X0))))
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(definition_unfolding,[],[f17841,f21299]) ).
fof(f22496,plain,
! [X0,X1] :
( ~ v1_group_1(k5_group_4(X0,X1))
| r1_tarski(X1,u1_struct_0(k5_group_4(X0,X1)))
| ~ m1_group_2(k5_group_4(X0,X1),X0)
| ~ 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) ),
inference(equality_resolution,[],[f18390]) ).
fof(f23181,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| u1_struct_0(X0) = k7_group_2(sK31,X0)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f19763,f17186]) ).
fof(f23182,plain,
! [X0,X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| k1_fraenkel(X0,u1_struct_0(X1)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(u1_struct_0(X1),u1_struct_0(X1)))) ),
inference(resolution,[],[f21332,f18992]) ).
fof(f23184,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| k1_fraenkel(X1,u1_struct_0(X0)) = k4_card_3(k2_zfmisc_1(X1,k2_tarski(u1_struct_0(X0),u1_struct_0(X0))))
| v3_struct_0(X0) ),
inference(resolution,[],[f23182,f18981]) ).
fof(f23199,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| ~ v3_group_1(sK31)
| u1_struct_0(X0) = k7_group_2(sK31,X0)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23181,f17189]) ).
fof(f23201,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| u1_struct_0(X0) = k7_group_2(sK31,X0)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23199,f17187]) ).
fof(f23203,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| u1_struct_0(X0) = k7_group_2(sK31,X0) ),
inference(forward_subsumption_resolution,[],[f23201,f17185]) ).
fof(f23204,plain,
( u1_struct_0(sK31) = k7_group_2(sK31,sK31)
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f23203,f17246]) ).
fof(f23205,plain,
! [X0] :
( k1_fraenkel(X0,u1_struct_0(sK31)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(u1_struct_0(sK31),u1_struct_0(sK31))))
| v3_struct_0(sK31) ),
inference(resolution,[],[f23184,f17185]) ).
fof(f23206,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK31)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(u1_struct_0(sK31),u1_struct_0(sK31)))),
inference(forward_subsumption_resolution,[],[f23205,f17189]) ).
fof(f23223,plain,
( u1_struct_0(sK31) = k7_group_2(sK31,sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23204,f17189]) ).
fof(f23224,plain,
( u1_struct_0(sK31) = k7_group_2(sK31,sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23223,f17187]) ).
fof(f23225,plain,
( u1_struct_0(sK31) = k7_group_2(sK31,sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23224,f17186]) ).
fof(f23226,plain,
u1_struct_0(sK31) = k7_group_2(sK31,sK31),
inference(forward_subsumption_resolution,[],[f23225,f17185]) ).
fof(f23312,plain,
! [X0,X1] :
( m1_subset_1(sK72(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f17304,f17440]) ).
fof(f23316,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X2,X3)
| m2_fraenkel(sK72(X0,X1),X2,X3,X0)
| v1_xboole_0(X3)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f23312,f17193]) ).
fof(f23319,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v1_xboole_0(u1_struct_0(X0))
| r1_tarski(k4_autgroup(X0),X1)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(sK72(k4_autgroup(X0),X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f23316,f17117]) ).
fof(f23323,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f23319,f17186]) ).
fof(f23324,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23323,f17189]) ).
fof(f23325,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| ~ v3_group_1(sK31)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23324,f17188]) ).
fof(f23326,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23325,f17187]) ).
fof(f23327,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)) ),
inference(forward_subsumption_resolution,[],[f23326,f17185]) ).
fof(f23329,definition,
( spl619_26
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl619_26])],[avatar_definition]) ).
fof(f23330,plain,
( ! [X0] :
( m2_fraenkel(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31),k4_autgroup(sK31))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_26 ),
inference(avatar_component_clause,[],[f23329]) ).
fof(f23332,definition,
( spl619_27
<=> v1_xboole_0(u1_struct_0(sK31)) ),
introduced(definition,[new_symbols(definition,[spl619_27])],[avatar_definition]) ).
fof(f23334,plain,
( spl619_26
| spl619_27 ),
inference(avatar_split_clause,[],[f23327,f23332,f23329]) ).
fof(f23335,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| m2_relset_1(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| ~ m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)) )
| ~ spl619_26 ),
inference(resolution,[],[f23330,f17195]) ).
fof(f23336,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| v1_funct_2(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| ~ m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)) )
| ~ spl619_26 ),
inference(resolution,[],[f23330,f17196]) ).
fof(f23338,plain,
( ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| v1_funct_1(sK72(k4_autgroup(sK31),X0))
| v1_xboole_0(u1_struct_0(sK31))
| ~ m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)) )
| ~ spl619_26 ),
inference(resolution,[],[f23330,f17197]) ).
fof(f23340,definition,
( spl619_28
<=> m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31)) ),
introduced(definition,[new_symbols(definition,[spl619_28])],[avatar_definition]) ).
fof(f23341,plain,
( ~ m1_fraenkel(k4_autgroup(sK31),u1_struct_0(sK31),u1_struct_0(sK31))
| spl619_28 ),
inference(avatar_component_clause,[],[f23340]) ).
fof(f23343,definition,
( spl619_29
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| v1_funct_1(sK72(k4_autgroup(sK31),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl619_29])],[avatar_definition]) ).
fof(f23344,plain,
( ! [X0] :
( v1_funct_1(sK72(k4_autgroup(sK31),X0))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29 ),
inference(avatar_component_clause,[],[f23343]) ).
fof(f23345,plain,
( ~ spl619_28
| spl619_27
| spl619_29
| ~ spl619_26 ),
inference(avatar_split_clause,[],[f23338,f23329,f23343,f23332,f23340]) ).
fof(f23347,definition,
( spl619_30
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| v1_funct_2(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl619_30])],[avatar_definition]) ).
fof(f23348,plain,
( ! [X0] :
( v1_funct_2(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_30 ),
inference(avatar_component_clause,[],[f23347]) ).
fof(f23349,plain,
( ~ spl619_28
| spl619_27
| spl619_30
| ~ spl619_26 ),
inference(avatar_split_clause,[],[f23336,f23329,f23347,f23332,f23340]) ).
fof(f23351,definition,
( spl619_31
<=> ! [X0] :
( r1_tarski(k4_autgroup(sK31),X0)
| m2_relset_1(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31)) ) ),
introduced(definition,[new_symbols(definition,[spl619_31])],[avatar_definition]) ).
fof(f23352,plain,
( ! [X0] :
( m2_relset_1(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_31 ),
inference(avatar_component_clause,[],[f23351]) ).
fof(f23353,plain,
( ~ spl619_28
| spl619_27
| spl619_31
| ~ spl619_26 ),
inference(avatar_split_clause,[],[f23335,f23329,f23351,f23332,f23340]) ).
fof(f23371,plain,
( v3_struct_0(sK31)
| ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_28 ),
inference(resolution,[],[f23341,f17117]) ).
fof(f23373,plain,
( ~ v1_group_1(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_28 ),
inference(forward_subsumption_resolution,[],[f23371,f17189]) ).
fof(f23374,plain,
( ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_28 ),
inference(forward_subsumption_resolution,[],[f23373,f17188]) ).
fof(f23375,plain,
( ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_28 ),
inference(forward_subsumption_resolution,[],[f23374,f17187]) ).
fof(f23376,plain,
( ~ l1_group_1(sK31)
| spl619_28 ),
inference(forward_subsumption_resolution,[],[f23375,f17186]) ).
fof(f23377,plain,
( $false
| spl619_28 ),
inference(forward_subsumption_resolution,[],[f23376,f17185]) ).
fof(f23378,plain,
spl619_28,
inference(avatar_contradiction_clause,[],[f23377]) ).
fof(f23843,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| v3_struct_0(sK31)
| l1_group_1(X0)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f17241,f17187]) ).
fof(f23846,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| l1_group_1(X0)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f23843,f17189]) ).
fof(f23848,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f23846,f17185]) ).
fof(f24672,plain,
! [X0] :
( v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| m1_group_2(k5_group_4(sK31,X0),sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(resolution,[],[f18384,f17186]) ).
fof(f24678,plain,
! [X0] :
( ~ v3_group_1(sK31)
| m1_group_2(k5_group_4(sK31,X0),sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(forward_subsumption_resolution,[],[f24672,f17189]) ).
fof(f24679,plain,
! [X0] :
( m1_group_2(k5_group_4(sK31,X0),sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(forward_subsumption_resolution,[],[f24678,f17187]) ).
fof(f24680,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| m1_group_2(k5_group_4(sK31,X0),sK31) ),
inference(forward_subsumption_resolution,[],[f24679,f17185]) ).
fof(f25350,plain,
! [X0] :
( v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| m1_subset_1(k7_group_2(sK31,X0),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ l1_group_1(sK31)
| ~ m1_group_2(X0,sK31) ),
inference(resolution,[],[f19749,f17186]) ).
fof(f25356,plain,
! [X0] :
( ~ v3_group_1(sK31)
| m1_subset_1(k7_group_2(sK31,X0),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ l1_group_1(sK31)
| ~ m1_group_2(X0,sK31) ),
inference(forward_subsumption_resolution,[],[f25350,f17189]) ).
fof(f25357,plain,
! [X0] :
( m1_subset_1(k7_group_2(sK31,X0),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ l1_group_1(sK31)
| ~ m1_group_2(X0,sK31) ),
inference(forward_subsumption_resolution,[],[f25356,f17187]) ).
fof(f25358,plain,
! [X0] :
( ~ m1_group_2(X0,sK31)
| m1_subset_1(k7_group_2(sK31,X0),k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(forward_subsumption_resolution,[],[f25357,f17185]) ).
fof(f25359,plain,
( m1_subset_1(k7_group_2(sK31,sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f25358,f17246]) ).
fof(f25360,plain,
( m1_subset_1(k7_group_2(sK31,sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f25359,f17189]) ).
fof(f25361,plain,
( m1_subset_1(k7_group_2(sK31,sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f25360,f17187]) ).
fof(f25362,plain,
( m1_subset_1(k7_group_2(sK31,sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f25361,f17186]) ).
fof(f25363,plain,
m1_subset_1(k7_group_2(sK31,sK31),k1_zfmisc_1(u1_struct_0(sK31))),
inference(forward_subsumption_resolution,[],[f25362,f17185]) ).
fof(f25364,plain,
m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31))),
inference(forward_demodulation,[],[f25363,f23226]) ).
fof(f25365,plain,
m1_group_2(k5_group_4(sK31,u1_struct_0(sK31)),sK31),
inference(resolution,[],[f25364,f24680]) ).
fof(f25370,plain,
m1_subset_1(k7_group_2(sK31,k5_group_4(sK31,u1_struct_0(sK31))),k1_zfmisc_1(u1_struct_0(sK31))),
inference(resolution,[],[f25365,f25358]) ).
fof(f25372,plain,
l1_group_1(k5_group_4(sK31,u1_struct_0(sK31))),
inference(resolution,[],[f25365,f23848]) ).
fof(f25375,plain,
k7_group_2(sK31,k5_group_4(sK31,u1_struct_0(sK31))) = u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))),
inference(resolution,[],[f25365,f23203]) ).
fof(f25376,plain,
m1_subset_1(u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))),k1_zfmisc_1(u1_struct_0(sK31))),
inference(forward_demodulation,[],[f25370,f25375]) ).
fof(f25378,plain,
r1_tarski(u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))),u1_struct_0(sK31)),
inference(resolution,[],[f25376,f17422]) ).
fof(f25384,plain,
( ~ r1_tarski(u1_struct_0(sK31),u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))))
| u1_struct_0(sK31) = u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))) ),
inference(resolution,[],[f25378,f17437]) ).
fof(f25395,definition,
( spl619_128
<=> u1_struct_0(sK31) = u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))) ),
introduced(definition,[new_symbols(definition,[spl619_128])],[avatar_definition]) ).
fof(f25396,plain,
( u1_struct_0(sK31) = u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))
| ~ spl619_128 ),
inference(avatar_component_clause,[],[f25395]) ).
fof(f25398,definition,
( spl619_129
<=> r1_tarski(u1_struct_0(sK31),u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))) ),
introduced(definition,[new_symbols(definition,[spl619_129])],[avatar_definition]) ).
fof(f25399,plain,
( ~ r1_tarski(u1_struct_0(sK31),u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))))
| spl619_129 ),
inference(avatar_component_clause,[],[f25398]) ).
fof(f25400,plain,
( spl619_128
| ~ spl619_129 ),
inference(avatar_split_clause,[],[f25384,f25398,f25395]) ).
fof(f25410,definition,
( spl619_130
<=> v3_struct_0(k5_group_4(sK31,u1_struct_0(sK31))) ),
introduced(definition,[new_symbols(definition,[spl619_130])],[avatar_definition]) ).
fof(f25411,plain,
( v3_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))
| ~ spl619_130 ),
inference(avatar_component_clause,[],[f25410]) ).
fof(f25429,plain,
( $false
| ~ spl619_130 ),
inference(unit_resulting_resolution,[],[f17243,f17185,f17187,f17189,f25365,f25411]) ).
fof(f25432,plain,
~ spl619_130,
inference(avatar_contradiction_clause,[],[f25429]) ).
fof(f25434,definition,
( spl619_135
<=> l1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))) ),
introduced(definition,[new_symbols(definition,[spl619_135])],[avatar_definition]) ).
fof(f25435,plain,
( ~ l1_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))
| spl619_135 ),
inference(avatar_component_clause,[],[f25434]) ).
fof(f26207,plain,
( ~ l1_group_1(k5_group_4(sK31,u1_struct_0(sK31)))
| spl619_135 ),
inference(resolution,[],[f25435,f18981]) ).
fof(f26209,plain,
( $false
| spl619_135 ),
inference(forward_subsumption_resolution,[],[f26207,f25372]) ).
fof(f26210,plain,
spl619_135,
inference(avatar_contradiction_clause,[],[f26209]) ).
fof(f28181,plain,
! [X0] :
( v3_struct_0(sK31)
| v1_group_1(k5_group_4(sK31,X0))
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(resolution,[],[f18385,f17187]) ).
fof(f28184,plain,
! [X0] :
( v1_group_1(k5_group_4(sK31,X0))
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(forward_subsumption_resolution,[],[f28181,f17189]) ).
fof(f28189,plain,
! [X0] :
( v1_group_1(k5_group_4(sK31,X0))
| ~ l1_group_1(sK31)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(forward_subsumption_resolution,[],[f28184,f17186]) ).
fof(f28194,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK31)))
| v1_group_1(k5_group_4(sK31,X0)) ),
inference(forward_subsumption_resolution,[],[f28189,f17185]) ).
fof(f28242,plain,
v1_group_1(k5_group_4(sK31,u1_struct_0(sK31))),
inference(resolution,[],[f28194,f25364]) ).
fof(f28250,plain,
( r1_tarski(u1_struct_0(sK31),u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))))
| ~ m1_group_2(k5_group_4(sK31,u1_struct_0(sK31)),sK31)
| ~ m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(resolution,[],[f28242,f22496]) ).
fof(f28262,plain,
( r1_tarski(u1_struct_0(sK31),u1_struct_0(k5_group_4(sK31,u1_struct_0(sK31))))
| ~ m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31) ),
inference(forward_subsumption_resolution,[],[f28250,f18384]) ).
fof(f28267,plain,
( ~ m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28262,f25399]) ).
fof(f28272,plain,
( v3_struct_0(sK31)
| ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28267,f25364]) ).
fof(f28289,plain,
( ~ v3_group_1(sK31)
| ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28272,f17189]) ).
fof(f28290,plain,
( ~ v4_group_1(sK31)
| ~ l1_group_1(sK31)
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28289,f17187]) ).
fof(f28291,plain,
( ~ l1_group_1(sK31)
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28290,f17186]) ).
fof(f28292,plain,
( $false
| spl619_129 ),
inference(forward_subsumption_resolution,[],[f28291,f17185]) ).
fof(f28293,plain,
spl619_129,
inference(avatar_contradiction_clause,[],[f28292]) ).
fof(f28333,plain,
( ~ v1_xboole_0(u1_struct_0(sK31))
| v3_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))
| ~ l1_struct_0(k5_group_4(sK31,u1_struct_0(sK31)))
| ~ spl619_128 ),
inference(superposition,[],[f18992,f25396]) ).
fof(f28355,plain,
( ~ spl619_135
| spl619_130
| ~ spl619_27
| ~ spl619_128 ),
inference(avatar_split_clause,[],[f28333,f25395,f23332,f25410,f25434]) ).
fof(f29452,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK72(k4_autgroup(sK31),X0),X1,X1)
| r2_hidden(sK72(k4_autgroup(sK31),X0),k4_card_3(k2_zfmisc_1(X1,k2_tarski(X1,X1))))
| ~ m2_relset_1(sK72(k4_autgroup(sK31),X0),X1,X1)
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29 ),
inference(resolution,[],[f21427,f23344]) ).
fof(f29455,plain,
( ! [X0] :
( r2_hidden(sK72(k4_autgroup(sK31),X0),k4_card_3(k2_zfmisc_1(u1_struct_0(sK31),k2_tarski(u1_struct_0(sK31),u1_struct_0(sK31)))))
| ~ m2_relset_1(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0)
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29
| ~ spl619_30 ),
inference(resolution,[],[f29452,f23348]) ).
fof(f29456,plain,
( ! [X0] :
( r2_hidden(sK72(k4_autgroup(sK31),X0),k4_card_3(k2_zfmisc_1(u1_struct_0(sK31),k2_tarski(u1_struct_0(sK31),u1_struct_0(sK31)))))
| ~ m2_relset_1(sK72(k4_autgroup(sK31),X0),u1_struct_0(sK31),u1_struct_0(sK31))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29
| ~ spl619_30 ),
inference(duplicate_literal_removal,[],[f29455]) ).
fof(f29457,plain,
( ! [X0] :
( r2_hidden(sK72(k4_autgroup(sK31),X0),k4_card_3(k2_zfmisc_1(u1_struct_0(sK31),k2_tarski(u1_struct_0(sK31),u1_struct_0(sK31)))))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(forward_subsumption_resolution,[],[f29456,f23352]) ).
fof(f29458,plain,
( ! [X0] :
( r2_hidden(sK72(k4_autgroup(sK31),X0),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31)))
| r1_tarski(k4_autgroup(sK31),X0) )
| ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(forward_demodulation,[],[f29457,f23206]) ).
fof(f29469,plain,
( r1_tarski(k4_autgroup(sK31),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31)))
| r1_tarski(k4_autgroup(sK31),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31)))
| ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(resolution,[],[f29458,f17441]) ).
fof(f29474,plain,
( r1_tarski(k4_autgroup(sK31),k1_fraenkel(u1_struct_0(sK31),u1_struct_0(sK31)))
| ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(duplicate_literal_removal,[],[f29469]) ).
fof(f29475,plain,
( $false
| ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(forward_subsumption_resolution,[],[f29474,f17190]) ).
fof(f29476,plain,
( ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(avatar_contradiction_clause,[],[f29475]) ).
cnf(s24,plain,
( spl619_26
| spl619_27 ),
inference(sat_conversion,[],[f23334]) ).
cnf(s25,plain,
( ~ spl619_26
| spl619_27
| ~ spl619_28
| spl619_29 ),
inference(sat_conversion,[],[f23345]) ).
cnf(s26,plain,
( ~ spl619_26
| spl619_27
| ~ spl619_28
| spl619_30 ),
inference(sat_conversion,[],[f23349]) ).
cnf(s27,plain,
( ~ spl619_26
| spl619_27
| ~ spl619_28
| spl619_31 ),
inference(sat_conversion,[],[f23353]) ).
cnf(s29,plain,
spl619_28,
inference(sat_conversion,[],[f23378]) ).
cnf(s126,plain,
( spl619_128
| ~ spl619_129 ),
inference(sat_conversion,[],[f25400]) ).
cnf(s131,plain,
~ spl619_130,
inference(sat_conversion,[],[f25432]) ).
cnf(s200,plain,
spl619_135,
inference(sat_conversion,[],[f26210]) ).
cnf(s360,plain,
spl619_129,
inference(sat_conversion,[],[f28293]) ).
cnf(s361,plain,
( ~ spl619_27
| ~ spl619_128
| spl619_130
| ~ spl619_135 ),
inference(sat_conversion,[],[f28355]) ).
cnf(s462,plain,
( ~ spl619_29
| ~ spl619_30
| ~ spl619_31 ),
inference(sat_conversion,[],[f29476]) ).
cnf(s593,plain,
spl619_128,
inference(rat,[],[s126,s360]) ).
cnf(s613,plain,
~ spl619_27,
inference(rat,[],[s361,s200,s131,s593]) ).
cnf(s702,plain,
( ~ spl619_26
| spl619_31 ),
inference(rat,[],[s27,s29,s613]) ).
cnf(s703,plain,
( ~ spl619_26
| spl619_30 ),
inference(rat,[],[s26,s29,s613]) ).
cnf(s704,plain,
( ~ spl619_26
| spl619_29 ),
inference(rat,[],[s25,s29,s613]) ).
cnf(s705,plain,
spl619_26,
inference(rat,[],[s24,s613]) ).
cnf(s706,plain,
spl619_31,
inference(rat,[],[s702,s705]) ).
cnf(s707,plain,
spl619_30,
inference(rat,[],[s703,s705]) ).
cnf(s708,plain,
spl619_29,
inference(rat,[],[s704,s705]) ).
cnf(s714,plain,
$false,
inference(rat,[],[s462,s706,s707,s708]) ).
fof(f29477,plain,
$false,
inference(avatar_sat_refutation,[],[s714]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP622+3 : 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 : n001.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 10:16:02 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
% 13.04/3.27 % (3341101)Detected formulas, will run a generic FOF schedule.
% 13.04/3.27 % (3341111)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3668383605:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.04/3.27 % (3341108)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=2144784887:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.04/3.27 % (3341110)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1015527938:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.04/3.27 % (3341109)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3598276116:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.04/3.27 % (3341107)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=2567838838:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.04/3.27 % (3341106)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=841711932:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.04/3.27 % (3341111)Instruction limit reached!
% 13.04/3.27 % (3341111)------------------------------
% 13.04/3.27 % (3341111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/3.27 % (3341111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.27 % (3341111)CaDiCaL version: 2.1.3
% 13.04/3.27 % (3341111)Termination reason: Instruction limit
% 13.04/3.27 % (3341111)Termination phase: Property scanning
% 13.04/3.27 % (3341111)Time elapsed: 0.033 s
% 13.04/3.27 % (3341111)Peak memory usage: 101 MB
% 13.04/3.27 % (3341111)Instructions burned: 140 (million)
% 13.04/3.27 % (3341112)dis-21_1_sil=8000:lcm=predicate:random_seed=129933834:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.04/3.27 % (3341109)Refutation not found, incomplete strategy
% 13.04/3.27 % (3341109)------------------------------
% 13.04/3.27 % (3341109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/3.27 % (3341109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.27 % (3341109)CaDiCaL version: 2.1.3
% 13.04/3.27 % (3341109)Termination reason: Refutation not found, incomplete strategy
% 13.04/3.27 % (3341109)Time elapsed: 0.061 s
% 13.04/3.27 % (3341109)Peak memory usage: 106 MB
% 13.04/3.27 % (3341109)Instructions burned: 78 (million)
% 13.04/3.27 % (3341110)Instruction limit reached!
% 13.04/3.27 % (3341110)------------------------------
% 13.04/3.27 % (3341110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/3.27 % (3341110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.27 % (3341110)CaDiCaL version: 2.1.3
% 13.04/3.27 % (3341110)Termination reason: Instruction limit
% 13.04/3.27 % (3341110)Termination phase: Preprocessing 3
% 13.04/3.27 % (3341110)Time elapsed: 0.094 s
% 13.04/3.27 % (3341110)Peak memory usage: 104 MB
% 13.04/3.27 % (3341110)Instructions burned: 119 (million)
% 13.04/3.27 % (3341112)Instruction limit reached!
% 13.04/3.27 % (3341112)------------------------------
% 13.04/3.27 % (3341112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/3.27 % (3341112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/3.27 % (3341112)CaDiCaL version: 2.1.3
% 13.04/3.27 % (3341112)Termination reason: Instruction limit
% 13.04/3.27 % (3341112)Termination phase: Preprocessing 1
% 13.04/3.27 % (3341112)Time elapsed: 0.100 s
% 13.04/3.27 % (3341112)Peak memory usage: 103 MB
% 13.04/3.27 % (3341112)Instructions burned: 129 (million)
% 13.04/3.27 % (3341119)lrs+10_1_sil=8000:sp=occurrence:random_seed=1922197382:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 13.04/3.27 % (3341121)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2984269496:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 13.04/3.27 % (3341122)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2851391784:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 13.04/3.27 % (3341109)------------------------------
% 13.04/3.27 % (3341109)------------------------------
% 13.04/3.27 % (3341121)Instruction limit reached!
% 13.04/3.27 % (3341121)------------------------------
% 13.04/3.27 % (3341121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341121)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341121)Termination reason: Instruction limit
% 20.26/4.24 % (3341121)Termination phase: Property scanning
% 20.26/4.24 % (3341121)Time elapsed: 0.066 s
% 20.26/4.24 % (3341121)Peak memory usage: 101 MB
% 20.26/4.24 % (3341121)Instructions burned: 158 (million)
% 20.26/4.24 % (3341119)Instruction limit reached!
% 20.26/4.24 % (3341119)------------------------------
% 20.26/4.24 % (3341119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341119)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341119)Termination reason: Instruction limit
% 20.26/4.24 % (3341119)Termination phase: Saturation
% 20.26/4.24 % (3341119)Time elapsed: 0.172 s
% 20.26/4.24 % (3341119)Peak memory usage: 109 MB
% 20.26/4.24 % (3341119)Instructions burned: 286 (million)
% 20.26/4.24 % (3341126)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=2987651620:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 20.26/4.24 % (3341127)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=426757741:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 20.26/4.24 % (3341128)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1228186987:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 20.26/4.24 % (3341122)Instruction limit reached!
% 20.26/4.24 % (3341122)------------------------------
% 20.26/4.24 % (3341122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341122)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341122)Termination reason: Instruction limit
% 20.26/4.24 % (3341122)Termination phase: Saturation
% 20.26/4.24 % (3341122)Time elapsed: 0.219 s
% 20.26/4.24 % (3341122)Peak memory usage: 107 MB
% 20.26/4.24 % (3341122)Instructions burned: 326 (million)
% 20.26/4.24 % (3341126)Instruction limit reached!
% 20.26/4.24 % (3341126)------------------------------
% 20.26/4.24 % (3341126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341126)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341126)Termination reason: Instruction limit
% 20.26/4.24 % (3341126)Termination phase: SInE selection
% 20.26/4.24 % (3341126)Time elapsed: 0.129 s
% 20.26/4.24 % (3341126)Peak memory usage: 102 MB
% 20.26/4.24 % (3341126)Instructions burned: 248 (million)
% 20.26/4.24 % (3341127)Instruction limit reached!
% 20.26/4.24 % (3341127)------------------------------
% 20.26/4.24 % (3341127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341127)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341127)Termination reason: Instruction limit
% 20.26/4.24 % (3341127)Termination phase: Saturation
% 20.26/4.24 % (3341127)Time elapsed: 0.187 s
% 20.26/4.24 % (3341127)Peak memory usage: 110 MB
% 20.26/4.24 % (3341127)Instructions burned: 294 (million)
% 20.26/4.24 % (3341132)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1694667454:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 20.26/4.24 % (3341132)Instruction limit reached!
% 20.26/4.24 % (3341132)------------------------------
% 20.26/4.24 % (3341132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/4.24 % (3341132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/4.24 % (3341132)CaDiCaL version: 2.1.3
% 20.26/4.24 % (3341132)Termination reason: Instruction limit
% 20.26/4.24 % (3341132)Termination phase: Preprocessing 3
% 20.26/4.24 % (3341132)Time elapsed: 0.099 s
% 20.26/4.24 % (3341132)Peak memory usage: 105 MB
% 20.26/4.24 % (3341132)Instructions burned: 114 (million)
% 20.26/4.24 % (3341133)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3323715153:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 20.26/4.24 % (3341135)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4014873584:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 20.26/4.24 % (3341133)Instruction limit reached!
% 20.26/4.24 % (3341133)------------------------------
% 22.78/4.69 % (3341133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341133)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341133)Termination reason: Instruction limit
% 22.78/4.69 % (3341133)Termination phase: Preprocessing 2
% 22.78/4.69 % (3341133)Time elapsed: 0.101 s
% 22.78/4.69 % (3341133)Peak memory usage: 106 MB
% 22.78/4.69 % (3341133)Instructions burned: 127 (million)
% 22.78/4.69 % (3341135)Instruction limit reached!
% 22.78/4.69 % (3341135)------------------------------
% 22.78/4.69 % (3341135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341135)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341135)Termination reason: Instruction limit
% 22.78/4.69 % (3341135)Termination phase: Property scanning
% 22.78/4.69 % (3341135)Time elapsed: 0.049 s
% 22.78/4.69 % (3341135)Peak memory usage: 101 MB
% 22.78/4.69 % (3341135)Instructions burned: 115 (million)
% 22.78/4.69 % (3341137)lrs+10_1_sil=8000:sp=occurrence:random_seed=3754701770:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 22.78/4.69 % (3341139)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4101992553:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 22.78/4.69 % (3341140)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=987587643:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 22.78/4.69 % (3341128)Instruction limit reached!
% 22.78/4.69 % (3341128)------------------------------
% 22.78/4.69 % (3341128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341128)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341128)Termination reason: Instruction limit
% 22.78/4.69 % (3341128)Termination phase: Saturation
% 22.78/4.69 % (3341128)Time elapsed: 0.816 s
% 22.78/4.69 % (3341128)Peak memory usage: 228 MB
% 22.78/4.69 % (3341128)Instructions burned: 2351 (million)
% 22.78/4.69 % (3341139)Instruction limit reached!
% 22.78/4.69 % (3341139)------------------------------
% 22.78/4.69 % (3341139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341139)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341139)Termination reason: Instruction limit
% 22.78/4.69 % (3341139)Termination phase: Saturation
% 22.78/4.69 % (3341139)Time elapsed: 0.290 s
% 22.78/4.69 % (3341139)Peak memory usage: 109 MB
% 22.78/4.69 % (3341139)Instructions burned: 437 (million)
% 22.78/4.69 % (3341144)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1035364912:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 22.78/4.69 % (3341137)Instruction limit reached!
% 22.78/4.69 % (3341137)------------------------------
% 22.78/4.69 % (3341137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341137)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341137)Termination reason: Instruction limit
% 22.78/4.69 % (3341137)Termination phase: Saturation
% 22.78/4.69 % (3341137)Time elapsed: 0.530 s
% 22.78/4.69 % (3341137)Peak memory usage: 120 MB
% 22.78/4.69 % (3341137)Instructions burned: 907 (million)
% 22.78/4.69 % (3341145)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=633540279:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 22.78/4.69 % (3341144)Instruction limit reached!
% 22.78/4.69 % (3341144)------------------------------
% 22.78/4.69 % (3341144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341144)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341144)Termination reason: Instruction limit
% 22.78/4.69 % (3341144)Termination phase: Property scanning
% 22.78/4.69 % (3341144)Time elapsed: 0.059 s
% 22.78/4.69 % (3341144)Peak memory usage: 105 MB
% 22.78/4.69 % (3341144)Instructions burned: 136 (million)
% 22.78/4.69 % (3341147)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2269428154:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 22.78/4.69 % (3341149)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=2573411857:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 22.78/4.69 % (3341149)Instruction limit reached!
% 22.78/4.69 % (3341149)------------------------------
% 22.78/4.69 % (3341149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341149)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341149)Termination reason: Instruction limit
% 22.78/4.69 % (3341149)Termination phase: Property scanning
% 22.78/4.69 % (3341149)Time elapsed: 0.029 s
% 22.78/4.69 % (3341149)Peak memory usage: 101 MB
% 22.78/4.69 % (3341149)Instructions burned: 126 (million)
% 22.78/4.69 % (3341152)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3276424969:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 22.78/4.69 % (3341152)Instruction limit reached!
% 22.78/4.69 % (3341152)------------------------------
% 22.78/4.69 % (3341152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341152)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341152)Termination reason: Instruction limit
% 22.78/4.69 % (3341152)Termination phase: Property scanning
% 22.78/4.69 % (3341152)Time elapsed: 0.032 s
% 22.78/4.69 % (3341152)Peak memory usage: 101 MB
% 22.78/4.69 % (3341152)Instructions burned: 135 (million)
% 22.78/4.69 % (3341145)Instruction limit reached!
% 22.78/4.69 % (3341145)------------------------------
% 22.78/4.69 % (3341145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341145)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341145)Termination reason: Instruction limit
% 22.78/4.69 % (3341145)Termination phase: Property scanning
% 22.78/4.69 % (3341145)Time elapsed: 0.396 s
% 22.78/4.69 % (3341145)Peak memory usage: 123 MB
% 22.78/4.69 % (3341145)Instructions burned: 592 (million)
% 22.78/4.69 % (3341154)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=63712846:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 22.78/4.69 % (3341154)Refutation not found, incomplete strategy
% 22.78/4.69 % (3341154)------------------------------
% 22.78/4.69 % (3341154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341154)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341154)Termination reason: Refutation not found, incomplete strategy
% 22.78/4.69 % (3341154)Time elapsed: 0.038 s
% 22.78/4.69 % (3341154)Peak memory usage: 106 MB
% 22.78/4.69 % (3341154)Instructions burned: 74 (million)
% 22.78/4.69 % (3341155)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1749844692:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 22.78/4.69 % (3341154)------------------------------
% 22.78/4.69 % (3341154)------------------------------
% 22.78/4.69 % (3341155)Instruction limit reached!
% 22.78/4.69 % (3341155)------------------------------
% 22.78/4.69 % (3341155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341158)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=2934809773:i=6060:aac=none:ins=25_2970 on theBenchmark for (2970ds/6060Mi)
% 22.78/4.69 % (3341155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341155)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341155)Termination reason: Instruction limit
% 22.78/4.69 % (3341155)Termination phase: Saturation
% 22.78/4.69 % (3341155)Time elapsed: 0.252 s
% 22.78/4.69 % (3341155)Peak memory usage: 109 MB
% 22.78/4.69 % (3341155)Instructions burned: 432 (million)
% 22.78/4.69 % (3341160)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=3587576502:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 22.78/4.69 % (3341160)Instruction limit reached!
% 22.78/4.69 % (3341160)------------------------------
% 22.78/4.69 % (3341160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.78/4.69 % (3341160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/4.69 % (3341160)CaDiCaL version: 2.1.3
% 22.78/4.69 % (3341160)Termination reason: Instruction limit
% 22.78/4.69 % (3341160)Termination phase: Preprocessing 1
% 22.78/4.69 % (3341160)Time elapsed: 0.116 s
% 22.78/4.69 % (3341160)Peak memory usage: 102 MB
% 22.78/4.69 % (3341160)Instructions burned: 151 (million)
% 22.78/4.69 % (3341107)First to succeed.
% 22.78/4.69 % (3341107)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3341101"
% 22.78/4.69 % (3341162)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4044053239:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 22.78/4.69 % (3341107)Refutation found. Thanks to Tanya!
% 22.78/4.69 % SZS status Theorem for theBenchmark
% 22.78/4.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/4.90 % (3341107)------------------------------
% 0.14/4.90 % (3341107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/4.90 % (3341107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/4.90 % (3341107)CaDiCaL version: 2.1.3
% 0.14/4.90 % (3341107)Termination reason: Refutation
% 0.14/4.90 % (3341107)Time elapsed: 2.724 s
% 0.14/4.90 % (3341107)Peak memory usage: 210 MB
% 0.14/4.90 % (3341107)Instructions burned: 4198 (million)
% 0.14/4.90 % (3341107)------------------------------
% 0.14/4.90 % (3341107)------------------------------
% 0.14/4.90 % (3341101)Success in time 3.848 s
% 0.14/4.90 % Vampire exiting
%------------------------------------------------------------------------------