%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP619+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:15:01 AM UTC 2026
% Result : Theorem 15.76s 7.23s
% Output : Refutation 32.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 23
% Syntax : Number of formulae : 164 ( 30 unt; 2 def)
% Number of atoms : 611 ( 58 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 716 ( 269 ~; 299 |; 110 &)
% ( 15 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 3 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-3 aty)
% Number of variables : 285 ( 0 sgn 267 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f1917,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/sandbox2/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f2460,axiom,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_funcop_1) ).
fof(f3353,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
=> ( m1_fraenkel(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_fraenkel) ).
fof(f3367,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f3369,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/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f3371,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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f3373,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f6740,axiom,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_card_3) ).
fof(f17596,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f18256,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f18620,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_rlvect_1) ).
fof(f18878,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_group_1) ).
fof(f18989,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f21861,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_rlvect_1(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_group_2) ).
fof(f21874,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/sandbox2/benchmark/theBenchmark.p',t63_group_2) ).
fof(f33385,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f33396,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_autgroup) ).
fof(f33397,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(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[status(cth)],[f33396]) ).
fof(f33482,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33385]) ).
fof(f33483,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33482]) ).
fof(f33502,plain,
? [X0] :
( ~ r1_tarski(k1_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,[],[f33397]) ).
fof(f33503,plain,
? [X0] :
( ~ r1_tarski(k1_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,[],[f33502]) ).
fof(f33506,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,[],[f3371]) ).
fof(f33507,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,[],[f33506]) ).
fof(f33510,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,[],[f3369]) ).
fof(f33511,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,[],[f33510]) ).
fof(f33512,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f3367]) ).
fof(f33516,plain,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
<=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m1_subset_1(X3,X2) ) )
| v1_xboole_0(X2)
| ~ v1_fraenkel(X2) ),
inference(ennf_transformation,[],[f3353]) ).
fof(f33517,plain,
! [X0,X1,X2] :
( ( m1_fraenkel(X2,X0,X1)
<=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m1_subset_1(X3,X2) ) )
| v1_xboole_0(X2)
| ~ v1_fraenkel(X2) ),
inference(flattening,[],[f33516]) ).
fof(f33537,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,[],[f21874]) ).
fof(f33538,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,[],[f33537]) ).
fof(f33557,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21861]) ).
fof(f33558,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33557]) ).
fof(f33609,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f33611,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f33720,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33751,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f3373]) ).
fof(f33762,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,[],[f1917]) ).
fof(f33763,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,[],[f33762]) ).
fof(f33988,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18878]) ).
fof(f33989,plain,
! [X0] :
( ( v3_group_1(X0)
<=> ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33988]) ).
fof(f36183,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18989]) ).
fof(f36186,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18620]) ).
fof(f36192,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f17596]) ).
fof(f36193,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f36192]) ).
fof(f37458,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18256]) ).
fof(f39466,plain,
( ~ r1_tarski(k1_autgroup(sK37),k1_fraenkel(u1_struct_0(sK37),u1_struct_0(sK37)))
& ~ v3_struct_0(sK37)
& v1_group_1(sK37)
& v3_group_1(sK37)
& v4_group_1(sK37)
& l1_group_1(sK37) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X0,sK37)],[f33503]) ).
fof(f39467,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,[],[f33507]) ).
fof(f39470,plain,
! [X0,X1,X2] :
( ( ( m1_fraenkel(X2,X0,X1)
| ? [X3] :
( ( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
& m1_subset_1(X3,X2) ) )
& ( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m1_subset_1(X3,X2) )
| ~ m1_fraenkel(X2,X0,X1) ) )
| v1_xboole_0(X2)
| ~ v1_fraenkel(X2) ),
inference(nnf_transformation,[],[f33517]) ).
fof(f39471,plain,
! [X0,X1,X2] :
( ( ( m1_fraenkel(X2,X0,X1)
| ? [X3] :
( ( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
& m1_subset_1(X3,X2) ) )
& ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X0,X1)
& m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X4,X2) )
| ~ m1_fraenkel(X2,X0,X1) ) )
| v1_xboole_0(X2)
| ~ v1_fraenkel(X2) ),
inference(rectify,[],[f39470]) ).
fof(f39472,plain,
! [X0,X1,X2] :
( ( ( m1_fraenkel(X2,X0,X1)
| ( ( ~ v1_funct_1(sK40(X0,X1,X2))
| ~ v1_funct_2(sK40(X0,X1,X2),X0,X1)
| ~ m2_relset_1(sK40(X0,X1,X2),X0,X1) )
& m1_subset_1(sK40(X0,X1,X2),X2) ) )
& ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,X0,X1)
& m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X4,X2) )
| ~ m1_fraenkel(X2,X0,X1) ) )
| v1_xboole_0(X2)
| ~ v1_fraenkel(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X3,sK40(X0,X1,X2))],[f39471]) ).
fof(f39536,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,[],[f33720]) ).
fof(f39537,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,[],[f39536]) ).
fof(f39538,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK96(X0,X1),X1)
& r2_hidden(sK96(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(X2,sK96(X0,X1))],[f39537]) ).
fof(f39631,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
& ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& k1_group_1(X0,X2,X3) = X1
& k1_group_1(X0,X3,X2) = X1 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f33989]) ).
fof(f39632,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,X2,X3) != X1
| k1_group_1(X0,X3,X2) != X1 ) )
& m1_subset_1(X2,u1_struct_0(X0)) ) ) )
& ( ? [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,X4) = X5
& k1_group_1(X0,X4,X5) = X5
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X0))
& k1_group_1(X0,X5,X6) = X4
& k1_group_1(X0,X6,X5) = X4 ) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f39631]) ).
fof(f39633,plain,
! [X0] :
( ( ( v3_group_1(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( ( sK159(X0,X1) != k1_group_1(X0,sK159(X0,X1),X1)
| sK159(X0,X1) != k1_group_1(X0,X1,sK159(X0,X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| k1_group_1(X0,sK159(X0,X1),X3) != X1
| k1_group_1(X0,X3,sK159(X0,X1)) != X1 ) )
& m1_subset_1(sK159(X0,X1),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK160(X0),u1_struct_0(X0))
& ! [X5] :
( ( k1_group_1(X0,X5,sK160(X0)) = X5
& k1_group_1(X0,sK160(X0),X5) = X5
& m1_subset_1(sK161(X0,X5),u1_struct_0(X0))
& sK160(X0) = k1_group_1(X0,X5,sK161(X0,X5))
& sK160(X0) = k1_group_1(X0,sK161(X0,X5),X5) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) ) )
| ~ v3_group_1(X0) ) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159,sK160,sK161]),skolemize(X2,sK159(X0,X1)),skolemize(X4,sK160(X0)),skolemize(X6,sK161(X0,X5))],[f39632]) ).
fof(f40244,plain,
! [X0] :
( ! [X1] :
( ( r1_rlvect_1(X0,X1)
| ~ r2_hidden(X1,u1_struct_0(X0)) )
& ( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f36186]) ).
fof(f41155,plain,
! [X0] :
( m1_fraenkel(k1_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,[],[f33483]) ).
fof(f41203,plain,
l1_group_1(sK37),
inference(cnf_transformation,[],[f39466]) ).
fof(f41204,plain,
v4_group_1(sK37),
inference(cnf_transformation,[],[f39466]) ).
fof(f41205,plain,
v3_group_1(sK37),
inference(cnf_transformation,[],[f39466]) ).
fof(f41206,plain,
v1_group_1(sK37),
inference(cnf_transformation,[],[f39466]) ).
fof(f41207,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f39466]) ).
fof(f41208,plain,
~ r1_tarski(k1_autgroup(sK37),k1_fraenkel(u1_struct_0(sK37),u1_struct_0(sK37))),
inference(cnf_transformation,[],[f39466]) ).
fof(f41212,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f39467]) ).
fof(f41216,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,[],[f33511]) ).
fof(f41218,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_fraenkel(X2) ),
inference(cnf_transformation,[],[f33512]) ).
fof(f41219,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f33512]) ).
fof(f41222,plain,
! [X2,X0,X1,X4] :
( ~ v1_fraenkel(X2)
| ~ m1_subset_1(X4,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X2)
| m2_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f39472]) ).
fof(f41223,plain,
! [X2,X0,X1,X4] :
( ~ v1_fraenkel(X2)
| ~ m1_subset_1(X4,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X2)
| v1_funct_2(X4,X0,X1) ),
inference(cnf_transformation,[],[f39472]) ).
fof(f41252,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,[],[f33538]) ).
fof(f41298,plain,
! [X2,X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| r1_rlvect_1(X0,X2)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33558]) ).
fof(f41333,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f33609]) ).
fof(f41338,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f33611]) ).
fof(f41540,plain,
! [X0,X1] :
( r2_hidden(sK96(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f39538]) ).
fof(f41541,plain,
! [X0,X1] :
( ~ r2_hidden(sK96(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f39538]) ).
fof(f41577,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_funcop_1(X0,X1)),
inference(cnf_transformation,[],[f6740]) ).
fof(f41583,plain,
! [X0,X1] :
( k1_funct_2(X0,X1) = k1_fraenkel(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f33751]) ).
fof(f41596,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,[],[f33763]) ).
fof(f41927,plain,
! [X0] :
( ~ v3_group_1(X0)
| m1_subset_1(sK160(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f39633]) ).
fof(f43385,plain,
! [X0,X1] : k2_zfmisc_1(X0,k1_tarski(X1)) = k2_funcop_1(X0,X1),
inference(cnf_transformation,[],[f2460]) ).
fof(f43693,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f44856,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f36183]) ).
fof(f44858,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f40244]) ).
fof(f44867,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f36193]) ).
fof(f46432,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f37458]) ).
fof(f49160,plain,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f43385,f43693]) ).
fof(f49163,plain,
! [X0,X1] : k1_funct_2(X0,X1) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(X1,X1))),
inference(definition_unfolding,[],[f41577,f49160]) ).
fof(f49200,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,[],[f41583,f49163]) ).
fof(f49213,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k4_card_3(k2_zfmisc_1(X0,k2_tarski(X0,X0))))
| ~ m2_relset_1(X1,X0,X0) ),
inference(definition_unfolding,[],[f41596,f49163]) ).
fof(f52041,plain,
! [X0] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f46432,f44856]) ).
fof(f52042,plain,
u1_struct_0(sK37) = k2_pre_topc(sK37),
inference(resolution,[],[f52041,f41203]) ).
fof(f52043,plain,
~ r1_tarski(k1_autgroup(sK37),k1_fraenkel(k2_pre_topc(sK37),k2_pre_topc(sK37))),
inference(superposition,[],[f41208,f52042]) ).
fof(f52045,plain,
( m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37))
| v3_struct_0(sK37)
| ~ v1_group_1(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(superposition,[],[f41155,f52042]) ).
fof(f52055,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,[],[f49200,f44867]) ).
fof(f52056,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,[],[f52055,f44856]) ).
fof(f52057,plain,
! [X0] :
( k1_fraenkel(X0,u1_struct_0(sK37)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(u1_struct_0(sK37),u1_struct_0(sK37))))
| v3_struct_0(sK37) ),
inference(resolution,[],[f52056,f41203]) ).
fof(f52058,plain,
! [X0] : k1_fraenkel(X0,u1_struct_0(sK37)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(u1_struct_0(sK37),u1_struct_0(sK37)))),
inference(forward_subsumption_resolution,[],[f52057,f41207]) ).
fof(f52059,plain,
! [X0] : k1_fraenkel(X0,k2_pre_topc(sK37)) = k4_card_3(k2_zfmisc_1(X0,k2_tarski(k2_pre_topc(sK37),k2_pre_topc(sK37)))),
inference(forward_demodulation,[],[f52058,f52042]) ).
fof(f52076,plain,
! [X2,X3,X0,X1] :
( v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1)
| ~ m1_subset_1(X0,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1) ),
inference(resolution,[],[f41216,f41212]) ).
fof(f52077,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X3,X1)
| v1_funct_1(X0) ),
inference(duplicate_literal_removal,[],[f52076]) ).
fof(f52113,plain,
( m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37))
| ~ v1_group_1(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52045,f41207]) ).
fof(f52115,plain,
( m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37))
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52113,f41206]) ).
fof(f52117,plain,
( m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37))
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52115,f41205]) ).
fof(f52119,plain,
( m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37))
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52117,f41204]) ).
fof(f52121,plain,
m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37)),
inference(forward_subsumption_resolution,[],[f52119,f41203]) ).
fof(f52167,plain,
! [X0,X1] :
( m1_subset_1(sK96(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f41333,f41540]) ).
fof(f52174,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X0,X3,X2)
| v1_xboole_0(X2)
| r1_tarski(X0,X1)
| v1_funct_1(sK96(X0,X1)) ),
inference(resolution,[],[f52167,f52077]) ).
fof(f52403,plain,
( m1_subset_1(sK160(sK37),u1_struct_0(sK37))
| v3_struct_0(sK37)
| ~ l1_group_1(sK37) ),
inference(resolution,[],[f41927,f41205]) ).
fof(f52404,plain,
( m1_subset_1(sK160(sK37),u1_struct_0(sK37))
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52403,f41207]) ).
fof(f52405,plain,
m1_subset_1(sK160(sK37),u1_struct_0(sK37)),
inference(forward_subsumption_resolution,[],[f52404,f41203]) ).
fof(f52406,plain,
m1_subset_1(sK160(sK37),k2_pre_topc(sK37)),
inference(forward_demodulation,[],[f52405,f52042]) ).
fof(f52464,definition,
( spl1160_62
<=> v1_xboole_0(k2_pre_topc(sK37)) ),
introduced(definition,[new_symbols(definition,[spl1160_62])],[avatar_definition]) ).
fof(f52465,plain,
( v1_xboole_0(k2_pre_topc(sK37))
| ~ spl1160_62 ),
inference(avatar_component_clause,[],[f52464]) ).
fof(f52482,plain,
( ! [X0] : ~ r2_hidden(X0,k2_pre_topc(sK37))
| ~ spl1160_62 ),
inference(resolution,[],[f52465,f41338]) ).
fof(f52546,plain,
v1_fraenkel(k1_autgroup(sK37)),
inference(resolution,[],[f41218,f52121]) ).
fof(f52551,plain,
! [X0] :
( v1_xboole_0(k2_pre_topc(sK37))
| r1_tarski(k1_autgroup(sK37),X0)
| v1_funct_1(sK96(k1_autgroup(sK37),X0)) ),
inference(resolution,[],[f52174,f52121]) ).
fof(f52556,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK37)
| v3_struct_0(sK37)
| r1_rlvect_1(sK37,X0)
| ~ l1_group_1(sK37) ),
inference(resolution,[],[f41298,f41205]) ).
fof(f52557,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(X1,sK37)
| r1_rlvect_1(sK37,X0)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52556,f41207]) ).
fof(f52558,plain,
! [X0,X1] :
( ~ m1_group_2(X1,sK37)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| r1_rlvect_1(sK37,X0) ),
inference(forward_subsumption_resolution,[],[f52557,f41203]) ).
fof(f52559,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| r1_rlvect_1(sK37,X0)
| v3_struct_0(sK37)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(resolution,[],[f52558,f41252]) ).
fof(f52562,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| r1_rlvect_1(sK37,X0)
| ~ v3_group_1(sK37)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52559,f41207]) ).
fof(f52563,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| r1_rlvect_1(sK37,X0)
| ~ v4_group_1(sK37)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52562,f41205]) ).
fof(f52564,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| r1_rlvect_1(sK37,X0)
| ~ l1_group_1(sK37) ),
inference(forward_subsumption_resolution,[],[f52563,f41204]) ).
fof(f52565,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK37))
| r1_rlvect_1(sK37,X0) ),
inference(forward_subsumption_resolution,[],[f52564,f41203]) ).
fof(f52566,plain,
! [X0] :
( ~ m1_subset_1(X0,k2_pre_topc(sK37))
| r1_rlvect_1(sK37,X0) ),
inference(forward_demodulation,[],[f52565,f52042]) ).
fof(f52571,plain,
r1_rlvect_1(sK37,sK160(sK37)),
inference(resolution,[],[f52566,f52406]) ).
fof(f52572,plain,
( r2_hidden(sK160(sK37),u1_struct_0(sK37))
| ~ l1_struct_0(sK37) ),
inference(resolution,[],[f52571,f44858]) ).
fof(f52573,plain,
( r2_hidden(sK160(sK37),k2_pre_topc(sK37))
| ~ l1_struct_0(sK37) ),
inference(forward_demodulation,[],[f52572,f52042]) ).
fof(f52574,plain,
( ~ l1_struct_0(sK37)
| ~ spl1160_62 ),
inference(forward_subsumption_resolution,[],[f52573,f52482]) ).
fof(f52576,plain,
( ~ l1_group_1(sK37)
| ~ spl1160_62 ),
inference(resolution,[],[f52574,f44856]) ).
fof(f52578,plain,
( $false
| ~ spl1160_62 ),
inference(forward_subsumption_resolution,[],[f52576,f41203]) ).
fof(f52579,plain,
~ spl1160_62,
inference(avatar_contradiction_clause,[],[f52578]) ).
fof(f52585,definition,
( spl1160_72
<=> ! [X0] :
( r1_tarski(k1_autgroup(sK37),X0)
| v1_funct_1(sK96(k1_autgroup(sK37),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1160_72])],[avatar_definition]) ).
fof(f52586,plain,
( ! [X0] :
( v1_funct_1(sK96(k1_autgroup(sK37),X0))
| r1_tarski(k1_autgroup(sK37),X0) )
| ~ spl1160_72 ),
inference(avatar_component_clause,[],[f52585]) ).
fof(f52587,plain,
( spl1160_72
| spl1160_62 ),
inference(avatar_split_clause,[],[f52551,f52464,f52585]) ).
fof(f52749,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(sK37))
| ~ m1_fraenkel(k1_autgroup(sK37),X1,X2)
| v1_xboole_0(k1_autgroup(sK37))
| v1_funct_2(X0,X1,X2) ),
inference(resolution,[],[f41223,f52546]) ).
fof(f52752,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(sK37))
| ~ m1_fraenkel(k1_autgroup(sK37),X1,X2)
| v1_funct_2(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f52749,f41219]) ).
fof(f52796,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(sK37))
| ~ m1_fraenkel(k1_autgroup(sK37),X1,X2)
| v1_xboole_0(k1_autgroup(sK37))
| m2_relset_1(X0,X1,X2) ),
inference(resolution,[],[f41222,f52546]) ).
fof(f52799,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_autgroup(sK37))
| ~ m1_fraenkel(k1_autgroup(sK37),X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f52796,f41219]) ).
fof(f53763,plain,
! [X2,X0,X1] :
( v1_funct_2(sK96(k1_autgroup(sK37),X2),X0,X1)
| ~ m1_fraenkel(k1_autgroup(sK37),X0,X1)
| r1_tarski(k1_autgroup(sK37),X2) ),
inference(resolution,[],[f52752,f52167]) ).
fof(f53764,plain,
! [X0,X1] :
( ~ m1_fraenkel(k1_autgroup(sK37),X0,X0)
| r1_tarski(k1_autgroup(sK37),X1)
| ~ v1_funct_1(sK96(k1_autgroup(sK37),X1))
| r2_hidden(sK96(k1_autgroup(sK37),X1),k4_card_3(k2_zfmisc_1(X0,k2_tarski(X0,X0))))
| ~ m2_relset_1(sK96(k1_autgroup(sK37),X1),X0,X0) ),
inference(resolution,[],[f53763,f49213]) ).
fof(f53765,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK96(k1_autgroup(sK37),X1),X0,X0)
| r1_tarski(k1_autgroup(sK37),X1)
| r2_hidden(sK96(k1_autgroup(sK37),X1),k4_card_3(k2_zfmisc_1(X0,k2_tarski(X0,X0))))
| ~ m1_fraenkel(k1_autgroup(sK37),X0,X0) )
| ~ spl1160_72 ),
inference(forward_subsumption_resolution,[],[f53764,f52586]) ).
fof(f55017,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(k1_autgroup(sK37),X0,X1)
| m2_relset_1(sK96(k1_autgroup(sK37),X2),X0,X1)
| r1_tarski(k1_autgroup(sK37),X2) ),
inference(resolution,[],[f52799,f52167]) ).
fof(f55019,plain,
! [X0] :
( m2_relset_1(sK96(k1_autgroup(sK37),X0),k2_pre_topc(sK37),k2_pre_topc(sK37))
| r1_tarski(k1_autgroup(sK37),X0) ),
inference(resolution,[],[f55017,f52121]) ).
fof(f55027,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK37),X0)
| r1_tarski(k1_autgroup(sK37),X0)
| r2_hidden(sK96(k1_autgroup(sK37),X0),k4_card_3(k2_zfmisc_1(k2_pre_topc(sK37),k2_tarski(k2_pre_topc(sK37),k2_pre_topc(sK37)))))
| ~ m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37)) )
| ~ spl1160_72 ),
inference(resolution,[],[f55019,f53765]) ).
fof(f55033,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK37),X0)
| r2_hidden(sK96(k1_autgroup(sK37),X0),k4_card_3(k2_zfmisc_1(k2_pre_topc(sK37),k2_tarski(k2_pre_topc(sK37),k2_pre_topc(sK37)))))
| ~ m1_fraenkel(k1_autgroup(sK37),k2_pre_topc(sK37),k2_pre_topc(sK37)) )
| ~ spl1160_72 ),
inference(duplicate_literal_removal,[],[f55027]) ).
fof(f55037,plain,
( ! [X0] :
( r1_tarski(k1_autgroup(sK37),X0)
| r2_hidden(sK96(k1_autgroup(sK37),X0),k4_card_3(k2_zfmisc_1(k2_pre_topc(sK37),k2_tarski(k2_pre_topc(sK37),k2_pre_topc(sK37))))) )
| ~ spl1160_72 ),
inference(forward_subsumption_resolution,[],[f55033,f52121]) ).
fof(f55038,plain,
( ! [X0] :
( r2_hidden(sK96(k1_autgroup(sK37),X0),k1_fraenkel(k2_pre_topc(sK37),k2_pre_topc(sK37)))
| r1_tarski(k1_autgroup(sK37),X0) )
| ~ spl1160_72 ),
inference(forward_demodulation,[],[f55037,f52059]) ).
fof(f55045,plain,
( r1_tarski(k1_autgroup(sK37),k1_fraenkel(k2_pre_topc(sK37),k2_pre_topc(sK37)))
| r1_tarski(k1_autgroup(sK37),k1_fraenkel(k2_pre_topc(sK37),k2_pre_topc(sK37)))
| ~ spl1160_72 ),
inference(resolution,[],[f55038,f41541]) ).
fof(f55054,plain,
( r1_tarski(k1_autgroup(sK37),k1_fraenkel(k2_pre_topc(sK37),k2_pre_topc(sK37)))
| ~ spl1160_72 ),
inference(duplicate_literal_removal,[],[f55045]) ).
fof(f55055,plain,
( $false
| ~ spl1160_72 ),
inference(forward_subsumption_resolution,[],[f55054,f52043]) ).
fof(f55056,plain,
~ spl1160_72,
inference(avatar_contradiction_clause,[],[f55055]) ).
cnf(s61,plain,
~ spl1160_62,
inference(sat_conversion,[],[f52579]) ).
cnf(s63,plain,
( spl1160_62
| spl1160_72 ),
inference(sat_conversion,[],[f52587]) ).
cnf(s143,plain,
~ spl1160_72,
inference(sat_conversion,[],[f55056]) ).
cnf(s154,plain,
spl1160_62,
inference(rat,[],[s63,s143]) ).
cnf(s155,plain,
$false,
inference(rat,[],[s61,s154]) ).
fof(f55057,plain,
$false,
inference(avatar_sat_refutation,[],[s155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP619+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:15:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.63/5.22 % (3337478)Detected formulas, will run a generic FOF schedule.
% 17.63/5.22 % (3337835)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=3167283468:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 17.63/5.22 % (3337834)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=1771141007:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 17.63/5.22 % (3337832)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=1434532057:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 17.63/5.22 % (3337836)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=110349452:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 17.63/5.22 % (3337838)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3446764038:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 17.63/5.22 % (3337839)dis-21_1_sil=8000:lcm=predicate:random_seed=98689473:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 17.63/5.22 % (3337837)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4079737946:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 17.63/5.22 % (3337838)Instruction limit reached!
% 17.63/5.22 % (3337838)------------------------------
% 17.63/5.22 % (3337838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.63/5.22 % (3337838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.63/5.22 % (3337838)CaDiCaL version: 2.1.3
% 17.63/5.22 % (3337838)Termination reason: Instruction limit
% 17.63/5.22 % (3337838)Termination phase: Property scanning
% 17.63/5.22 % (3337838)Time elapsed: 0.061 s
% 17.63/5.22 % (3337838)Peak memory usage: 133 MB
% 17.63/5.22 % (3337838)Instructions burned: 140 (million)
% 17.63/5.22 % (3337836)Instruction limit reached!
% 17.63/5.22 % (3337836)------------------------------
% 17.63/5.22 % (3337836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.63/5.22 % (3337836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.63/5.22 % (3337836)CaDiCaL version: 2.1.3
% 17.63/5.22 % (3337836)Termination reason: Instruction limit
% 17.63/5.22 % (3337836)Termination phase: SInE selection
% 17.63/5.22 % (3337836)Time elapsed: 0.079 s
% 17.63/5.22 % (3337836)Peak memory usage: 133 MB
% 17.63/5.22 % (3337836)Instructions burned: 109 (million)
% 17.63/5.22 % (3337837)Instruction limit reached!
% 17.63/5.22 % (3337837)------------------------------
% 17.63/5.22 % (3337837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.63/5.22 % (3337837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.63/5.22 % (3337837)CaDiCaL version: 2.1.3
% 17.63/5.22 % (3337837)Termination reason: Instruction limit
% 17.63/5.22 % (3337837)Termination phase: SInE selection
% 17.63/5.22 % (3337837)Time elapsed: 0.086 s
% 17.63/5.22 % (3337837)Peak memory usage: 133 MB
% 17.63/5.22 % (3337837)Instructions burned: 120 (million)
% 17.63/5.22 % (3337839)Instruction limit reached!
% 17.63/5.22 % (3337839)------------------------------
% 17.63/5.22 % (3337839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.63/5.22 % (3337839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.63/5.22 % (3337839)CaDiCaL version: 2.1.3
% 17.63/5.22 % (3337839)Termination reason: Instruction limit
% 17.63/5.22 % (3337839)Termination phase: SInE selection
% 17.63/5.22 % (3337839)Time elapsed: 0.089 s
% 17.63/5.22 % (3337839)Peak memory usage: 133 MB
% 17.63/5.22 % (3337839)Instructions burned: 130 (million)
% 17.63/5.22 % (3337890)lrs+10_1_sil=8000:sp=occurrence:random_seed=2102287217:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 17.63/5.22 % (3337895)lrs+10_1_sil=32000:urr=on:br=off:random_seed=282952066:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 17.63/5.22 % (3337897)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=3034292889:s2a=on:i=248:s2at=1.23:gtg=position_2976 on theBenchmark for (2976ds/248Mi)
% 17.63/5.22 % (3337896)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2971721719:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 17.63/5.22 % (3337895)Instruction limit reached!
% 25.33/6.26 % (3337895)------------------------------
% 25.33/6.26 % (3337895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337895)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337895)Termination reason: Instruction limit
% 25.33/6.26 % (3337895)Termination phase: Property scanning
% 25.33/6.26 % (3337895)Time elapsed: 0.070 s
% 25.33/6.26 % (3337895)Peak memory usage: 134 MB
% 25.33/6.26 % (3337895)Instructions burned: 158 (million)
% 25.33/6.26 % (3337897)Instruction limit reached!
% 25.33/6.26 % (3337897)------------------------------
% 25.33/6.26 % (3337897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337897)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337897)Termination reason: Instruction limit
% 25.33/6.26 % (3337897)Termination phase: Property scanning
% 25.33/6.26 % (3337897)Time elapsed: 0.109 s
% 25.33/6.26 % (3337897)Peak memory usage: 133 MB
% 25.33/6.26 % (3337897)Instructions burned: 250 (million)
% 25.33/6.26 % (3337890)Instruction limit reached!
% 25.33/6.26 % (3337890)------------------------------
% 25.33/6.26 % (3337890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337890)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337890)Termination reason: Instruction limit
% 25.33/6.26 % (3337890)Termination phase: Function definition elimination
% 25.33/6.26 % (3337890)Time elapsed: 0.223 s
% 25.33/6.26 % (3337890)Peak memory usage: 138 MB
% 25.33/6.26 % (3337890)Instructions burned: 286 (million)
% 25.33/6.26 % (3337902)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=708825786:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 25.33/6.26 % (3337896)Instruction limit reached!
% 25.33/6.26 % (3337896)------------------------------
% 25.33/6.26 % (3337896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337896)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337896)Termination reason: Instruction limit
% 25.33/6.26 % (3337896)Termination phase: Saturation
% 25.33/6.26 % (3337896)Time elapsed: 0.261 s
% 25.33/6.26 % (3337896)Peak memory usage: 140 MB
% 25.33/6.26 % (3337896)Instructions burned: 326 (million)
% 25.33/6.26 % (3337903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=597494690:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 25.33/6.26 % (3337904)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3498831247:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 25.33/6.26 % (3337902)Instruction limit reached!
% 25.33/6.26 % (3337902)------------------------------
% 25.33/6.26 % (3337902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337902)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337902)Termination reason: Instruction limit
% 25.33/6.26 % (3337902)Termination phase: SInE selection
% 25.33/6.26 % (3337902)Time elapsed: 0.181 s
% 25.33/6.26 % (3337902)Peak memory usage: 134 MB
% 25.33/6.26 % (3337902)Instructions burned: 295 (million)
% 25.33/6.26 % (3337904)Instruction limit reached!
% 25.33/6.26 % (3337904)------------------------------
% 25.33/6.26 % (3337904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337904)CaDiCaL version: 2.1.3
% 25.33/6.26 % (3337904)Termination reason: Instruction limit
% 25.33/6.26 % (3337904)Termination phase: SInE selection
% 25.33/6.26 % (3337904)Time elapsed: 0.086 s
% 25.33/6.26 % (3337904)Peak memory usage: 133 MB
% 25.33/6.26 % (3337904)Instructions burned: 114 (million)
% 25.33/6.26 % (3337906)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3422745336:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 25.33/6.26 % (3337906)Instruction limit reached!
% 25.33/6.26 % (3337906)------------------------------
% 25.33/6.26 % (3337906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.33/6.26 % (3337906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.33/6.26 % (3337906)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337906)Termination reason: Instruction limit
% 15.76/7.23 % (3337906)Termination phase: Preprocessing 1
% 15.76/7.23 % (3337906)Time elapsed: 0.097 s
% 15.76/7.23 % (3337906)Peak memory usage: 136 MB
% 15.76/7.23 % (3337906)Instructions burned: 128 (million)
% 15.76/7.23 % (3337909)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1001200690:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 15.76/7.23 % (3337910)lrs+10_1_sil=8000:sp=occurrence:random_seed=1252150336:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 15.76/7.23 % (3337909)Instruction limit reached!
% 15.76/7.23 % (3337909)------------------------------
% 15.76/7.23 % (3337909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337909)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337909)Termination reason: Instruction limit
% 15.76/7.23 % (3337909)Termination phase: Property scanning
% 15.76/7.23 % (3337909)Time elapsed: 0.052 s
% 15.76/7.23 % (3337909)Peak memory usage: 133 MB
% 15.76/7.23 % (3337909)Instructions burned: 116 (million)
% 15.76/7.23 % (3337912)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4048730151:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 15.76/7.23 % (3337915)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2687981653:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 15.76/7.23 % (3337912)Instruction limit reached!
% 15.76/7.23 % (3337912)------------------------------
% 15.76/7.23 % (3337912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337912)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337912)Termination reason: Instruction limit
% 15.76/7.23 % (3337912)Termination phase: Saturation
% 15.76/7.23 % (3337912)Time elapsed: 0.307 s
% 15.76/7.23 % (3337912)Peak memory usage: 140 MB
% 15.76/7.23 % (3337912)Instructions burned: 438 (million)
% 15.76/7.23 % (3337910)Instruction limit reached!
% 15.76/7.23 % (3337910)------------------------------
% 15.76/7.23 % (3337910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337910)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337910)Termination reason: Instruction limit
% 15.76/7.23 % (3337910)Termination phase: Equality resolution with deletion
% 15.76/7.23 % (3337910)Time elapsed: 0.576 s
% 15.76/7.23 % (3337910)Peak memory usage: 154 MB
% 15.76/7.23 % (3337910)Instructions burned: 908 (million)
% 15.76/7.23 % (3337918)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4151263712:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2964 on theBenchmark for (2964ds/134Mi)
% 15.76/7.23 % (3337918)Instruction limit reached!
% 15.76/7.23 % (3337918)------------------------------
% 15.76/7.23 % (3337918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337918)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337918)Termination reason: Instruction limit
% 15.76/7.23 % (3337918)Termination phase: SInE selection
% 15.76/7.23 % (3337918)Time elapsed: 0.098 s
% 15.76/7.23 % (3337918)Peak memory usage: 133 MB
% 15.76/7.23 % (3337918)Instructions burned: 134 (million)
% 15.76/7.23 % (3337919)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3762162585:st=8:i=592:sd=3:ep=RST:ss=axioms_2962 on theBenchmark for (2962ds/592Mi)
% 15.76/7.23 % (3337921)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2166197184:st=3:i=13193:sd=3:ss=axioms_2961 on theBenchmark for (2961ds/13193Mi)
% 15.76/7.23 % (3337919)Instruction limit reached!
% 15.76/7.23 % (3337919)------------------------------
% 15.76/7.23 % (3337919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337919)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337919)Termination reason: Instruction limit
% 15.76/7.23 % (3337919)Termination phase: Preprocessing 2
% 15.76/7.23 % (3337919)Time elapsed: 0.453 s
% 15.76/7.23 % (3337919)Peak memory usage: 146 MB
% 15.76/7.23 % (3337919)Instructions burned: 592 (million)
% 15.76/7.23 % (3337903)Instruction limit reached!
% 15.76/7.23 % (3337903)------------------------------
% 15.76/7.23 % (3337903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337903)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337903)Termination reason: Instruction limit
% 15.76/7.23 % (3337903)Termination phase: Property scanning
% 15.76/7.23 % (3337903)Time elapsed: 1.539 s
% 15.76/7.23 % (3337903)Peak memory usage: 227 MB
% 15.76/7.23 % (3337903)Instructions burned: 2350 (million)
% 15.76/7.23 % (3337924)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=1219174696:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/125Mi)
% 15.76/7.23 % (3337925)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3306134861:i=134:gtgl=5:slsql=off:gtg=exists_sym_2956 on theBenchmark for (2956ds/134Mi)
% 15.76/7.23 % (3337924)Instruction limit reached!
% 15.76/7.23 % (3337924)------------------------------
% 15.76/7.23 % (3337924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337924)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337924)Termination reason: Instruction limit
% 15.76/7.23 % (3337924)Termination phase: Property scanning
% 15.76/7.23 % (3337924)Time elapsed: 0.056 s
% 15.76/7.23 % (3337924)Peak memory usage: 133 MB
% 15.76/7.23 % (3337924)Instructions burned: 127 (million)
% 15.76/7.23 % (3337925)Instruction limit reached!
% 15.76/7.23 % (3337925)------------------------------
% 15.76/7.23 % (3337925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337925)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337925)Termination reason: Instruction limit
% 15.76/7.23 % (3337925)Termination phase: Property scanning
% 15.76/7.23 % (3337925)Time elapsed: 0.061 s
% 15.76/7.23 % (3337925)Peak memory usage: 133 MB
% 15.76/7.23 % (3337925)Instructions burned: 137 (million)
% 15.76/7.23 % (3337928)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4135204103:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2954 on theBenchmark for (2954ds/141Mi)
% 15.76/7.23 % (3337929)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=724020004:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/431Mi)
% 15.76/7.23 % (3337928)Instruction limit reached!
% 15.76/7.23 % (3337928)------------------------------
% 15.76/7.23 % (3337928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337928)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337928)Termination reason: Instruction limit
% 15.76/7.23 % (3337928)Termination phase: SInE selection
% 15.76/7.23 % (3337928)Time elapsed: 0.109 s
% 15.76/7.23 % (3337928)Peak memory usage: 133 MB
% 15.76/7.23 % (3337928)Instructions burned: 141 (million)
% 15.76/7.23 % (3337932)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=930263205:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 15.76/7.23 % (3337929)Instruction limit reached!
% 15.76/7.23 % (3337929)------------------------------
% 15.76/7.23 % (3337929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337929)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337929)Termination reason: Instruction limit
% 15.76/7.23 % (3337929)Termination phase: Saturation
% 15.76/7.23 % (3337929)Time elapsed: 0.319 s
% 15.76/7.23 % (3337929)Peak memory usage: 141 MB
% 15.76/7.23 % (3337929)Instructions burned: 432 (million)
% 15.76/7.23 % (3337934)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=3154072392:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2948 on theBenchmark for (2948ds/150Mi)
% 15.76/7.23 % (3337934)Instruction limit reached!
% 15.76/7.23 % (3337934)------------------------------
% 15.76/7.23 % (3337934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.76/7.23 % (3337934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.76/7.23 % (3337934)CaDiCaL version: 2.1.3
% 15.76/7.23 % (3337934)Termination reason: Instruction limit
% 15.76/7.23 % (3337934)Termination phase: SInE selection
% 15.76/7.23 % (3337934)Time elapsed: 0.116 s
% 15.76/7.23 % (3337934)Peak memory usage: 133 MB
% 15.76/7.23 % (3337934)Instructions burned: 150 (million)
% 15.76/7.23 % (3337936)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3566136130:i=14155:bd=all_2945 on theBenchmark for (2945ds/14155Mi)
% 15.76/7.23 % (3337834)First to succeed.
% 15.76/7.23 % (3337834)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3337478"
% 15.76/7.23 % (3337834)Refutation found. Thanks to Tanya!
% 15.76/7.23 % SZS status Theorem for theBenchmark
% 15.76/7.23 % SZS output start Proof for theBenchmark
% See solution above
% 32.63/7.47 % (3337834)------------------------------
% 32.63/7.47 % (3337834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.63/7.47 % (3337834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.63/7.47 % (3337834)CaDiCaL version: 2.1.3
% 32.63/7.47 % (3337834)Termination reason: Refutation
% 32.63/7.47 % (3337834)Time elapsed: 3.758 s
% 32.63/7.47 % (3337834)Peak memory usage: 303 MB
% 32.63/7.47 % (3337834)Instructions burned: 6034 (million)
% 32.63/7.47 % (3337834)------------------------------
% 32.63/7.47 % (3337834)------------------------------
% 32.63/7.47 % (3337478)Success in time 6.371 s
% 32.63/7.47 % Vampire exiting
%------------------------------------------------------------------------------