%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP634+1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:09 AM UTC 2026
% Result : Theorem 37.23s 6.09s
% Output : Refutation 37.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 41
% Syntax : Number of formulae : 272 ( 56 unt; 14 def)
% Number of atoms : 1237 ( 135 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1599 ( 634 ~; 721 |; 176 &)
% ( 25 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 10 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 420 ( 0 sgn 395 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_autgroup) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> X1 = k2_group_1(k5_autgroup(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f20,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k4_autgroup(X0)
<=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
=> ( r2_hidden(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_autgroup) ).
fof(f21,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& v1_group_3(X1,k3_autgroup(X0))
& m1_group_2(X1,k3_autgroup(X0)) )
=> ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_autgroup) ).
fof(f24,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> m1_fraenkel(k1_fraenkel(X0,X1),X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_fraenkel) ).
fof(f30,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f33,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f34,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(f35,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f39,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f41,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f42,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(f45,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(f60,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(f61,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f85,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(f86,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f88,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(f89,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f91,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( ! [X4] :
( m1_subset_1(X4,X0)
=> k1_funct_1(X2,X4) = k1_funct_1(X3,X4) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_funct_2) ).
fof(f92,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m2_relset_1(X2,X0,X1) )
=> ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> r2_hidden(X2,k1_funct_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_funct_2) ).
fof(f93,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f95,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f96,axiom,
! [X0,X1] :
( r2_hidden(X1,X0)
=> k1_funct_1(k6_relat_1(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f97,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0) )
=> k2_group_3(X0,X1,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_group_3) ).
fof(f101,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( k2_group_1(k5_autgroup(X0)) != X1
& m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f113]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_autgroup(X0)
<=> ! [X2] :
( ( r2_hidden(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
| ~ m1_fraenkel(X1,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,[],[f20]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( X1 = k4_autgroup(X0)
<=> ! [X2] :
( ( r2_hidden(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
| ~ m1_fraenkel(X1,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,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f147]) ).
fof(f153,plain,
! [X0,X1] :
( m1_fraenkel(k1_fraenkel(X0,X1),X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f156,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f157,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f156]) ).
fof(f160,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f161,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f160]) ).
fof(f162,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,[],[f34]) ).
fof(f163,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,[],[f162]) ).
fof(f164,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f165,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f164]) ).
fof(f168,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f170,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,[],[f42]) ).
fof(f171,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,[],[f170]) ).
fof(f172,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,[],[f45]) ).
fof(f173,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,[],[f172]) ).
fof(f183,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f184,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f183]) ).
fof(f193,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f194]) ).
fof(f196,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,[],[f88]) ).
fof(f197,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,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( k1_funct_1(X2,X4) != k1_funct_1(X3,X4)
& m1_subset_1(X4,X0) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( k1_funct_1(X2,X4) != k1_funct_1(X3,X4)
& m1_subset_1(X4,X0) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( r2_hidden(X2,k1_funct_2(X0,X1))
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f201,plain,
! [X0,X1,X2] :
( r2_hidden(X2,k1_funct_2(X0,X1))
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f203,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f204,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f206,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0,X1] :
( k1_funct_1(k6_relat_1(X0),X1) = X1
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_group_3(X0,X1,X2) = X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_group_3(X0,X1,X2) = X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f208]) ).
fof(f214,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f217,definition,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( ( r2_hidden(X2,X1)
<=> ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) ) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f218,definition,
! [X1,X0] :
( ( X1 = k4_autgroup(X0)
<=> sP0(X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( sP1(X1,X0)
| ~ m1_fraenkel(X1,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(definition_folding,[],[f146,f218,f217]) ).
fof(f220,plain,
( sK3 != k2_group_1(k5_autgroup(sK2))
& m1_subset_1(sK3,u1_struct_0(k5_autgroup(sK2)))
& ~ v3_struct_0(sK2)
& v3_group_1(sK2)
& v4_group_1(sK2)
& v7_group_1(sK2)
& l1_group_1(sK2)
& ~ v3_struct_0(sK2)
& v1_group_1(sK2)
& v3_group_1(sK2)
& v4_group_1(sK2)
& l1_group_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f114]) ).
fof(f221,plain,
! [X1,X0] :
( ( ( X1 = k4_autgroup(X0)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| k4_autgroup(X0) != X1 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f218]) ).
fof(f222,plain,
! [X0,X1] :
( ( ( k4_autgroup(X1) = X0
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| k4_autgroup(X1) != X0 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f221]) ).
fof(f223,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) != k2_group_3(X0,X4,X3)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| r2_hidden(X2,X1) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
& ( ! [X2] :
( ( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) != k2_group_3(X0,X4,X3)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ r2_hidden(X2,X1) ) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f217]) ).
fof(f224,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) != k2_group_3(X0,X4,X3)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| r2_hidden(X2,X1) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
& ( ! [X2] :
( ( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) != k2_group_3(X0,X4,X3)
& m1_subset_1(X4,u1_struct_0(X0)) ) ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
& ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) = k2_group_3(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ r2_hidden(X2,X1) ) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X4) != k2_group_3(X0,X4,X3)
& m1_subset_1(X4,u1_struct_0(X0)) ) )
| ~ r2_hidden(X2,X1) )
& ( ? [X5] :
( m1_subset_1(X5,u1_struct_0(X0))
& ! [X6] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X2,X6) = k2_group_3(X0,X6,X5)
| ~ m1_subset_1(X6,u1_struct_0(X0)) ) )
| r2_hidden(X2,X1) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
& ( ! [X7] :
( ( ( r2_hidden(X7,X1)
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| ? [X9] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X7,X9) != k2_group_3(X0,X9,X8)
& m1_subset_1(X9,u1_struct_0(X0)) ) ) )
& ( ? [X10] :
( m1_subset_1(X10,u1_struct_0(X0))
& ! [X11] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X7,X11) = k2_group_3(X0,X11,X10)
| ~ m1_subset_1(X11,u1_struct_0(X0)) ) )
| ~ r2_hidden(X7,X1) ) )
| ~ m2_fraenkel(X7,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f224]) ).
fof(f226,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),sK4(X0,X1),sK5(X0,X1,X3)) != k2_group_3(X0,sK5(X0,X1,X3),X3)
& m1_subset_1(sK5(X0,X1,X3),u1_struct_0(X0)) ) )
| ~ r2_hidden(sK4(X0,X1),X1) )
& ( ( m1_subset_1(sK6(X0,X1),u1_struct_0(X0))
& ! [X6] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),sK4(X0,X1),X6) = k2_group_3(X0,X6,sK6(X0,X1))
| ~ m1_subset_1(X6,u1_struct_0(X0)) ) )
| r2_hidden(sK4(X0,X1),X1) )
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ) )
& ( ! [X7] :
( ( ( r2_hidden(X7,X1)
| ! [X8] :
( ~ m1_subset_1(X8,u1_struct_0(X0))
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X7,sK7(X0,X7,X8)) != k2_group_3(X0,sK7(X0,X7,X8),X8)
& m1_subset_1(sK7(X0,X7,X8),u1_struct_0(X0)) ) ) )
& ( ( m1_subset_1(sK8(X0,X7),u1_struct_0(X0))
& ! [X11] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X7,X11) = k2_group_3(X0,X11,sK8(X0,X7))
| ~ m1_subset_1(X11,u1_struct_0(X0)) ) )
| ~ r2_hidden(X7,X1) ) )
| ~ m2_fraenkel(X7,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) )
| ~ sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1,X3)),skolemize(X5,sK6(X0,X1)),skolemize(X9,sK7(X0,X7,X8)),skolemize(X10,sK8(X0,X7))],[f225]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_autgroup(X0)
| k4_autgroup(X0) != u1_struct_0(X1) )
& ( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f255,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,[],[f197]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ! [X3] :
( X2 = X3
| ( k1_funct_1(X2,sK36(X0,X2,X3)) != k1_funct_1(X3,sK36(X0,X2,X3))
& m1_subset_1(sK36(X0,X2,X3),X0) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X4,sK36(X0,X2,X3))],[f199]) ).
fof(f258,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f259,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f260,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f261,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f262,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f264,plain,
v7_group_1(sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f268,plain,
m1_subset_1(sK3,u1_struct_0(k5_autgroup(sK2))),
inference(cnf_transformation,[],[f220]) ).
fof(f269,plain,
sK3 != k2_group_1(k5_autgroup(sK2)),
inference(cnf_transformation,[],[f220]) ).
fof(f307,plain,
! [X0,X1] :
( sP0(X1,X0)
| k4_autgroup(X1) != X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f309,plain,
! [X0,X11,X1,X7] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X0),X7,X11) = k2_group_3(X0,X11,sK8(X0,X7))
| ~ m1_subset_1(X11,u1_struct_0(X0))
| ~ r2_hidden(X7,X1)
| ~ m2_fraenkel(X7,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f310,plain,
! [X0,X1,X7] :
( ~ m2_fraenkel(X7,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| ~ r2_hidden(X7,X1)
| m1_subset_1(sK8(X0,X7),u1_struct_0(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f318,plain,
! [X0,X1] :
( ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| sP1(X1,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f319,plain,
! [X0,X1] :
( k4_autgroup(X0) = u1_struct_0(X1)
| k5_autgroup(X0) != X1
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f324,plain,
! [X0,X1] :
( m1_fraenkel(k1_fraenkel(X0,X1),X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f328,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f330,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f332,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f334,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f335,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,[],[f163]) ).
fof(f336,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f337,plain,
! [X0] :
( v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f338,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f343,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f346,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f348,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f349,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,[],[f173]) ).
fof(f350,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,[],[f173]) ).
fof(f351,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,[],[f173]) ).
fof(f368,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f369,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f61]) ).
fof(f447,plain,
! [X0,X1] :
( k1_fraenkel(X0,X1) = k1_funct_2(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f448,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f451,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,[],[f255]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f455,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(sK36(X0,X2,X3),X0)
| X2 = X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
fof(f456,plain,
! [X2,X3,X0,X1] :
( k1_funct_1(X2,sK36(X0,X2,X3)) != k1_funct_1(X3,sK36(X0,X2,X3))
| X2 = X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
fof(f457,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_2(X0,X1))
| k1_xboole_0 = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f459,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f460,plain,
! [X0] :
( k2_group_1(k5_autgroup(X0)) = k6_partfun1(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,[],[f204]) ).
fof(f461,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f462,plain,
! [X0,X1] :
( k1_funct_1(k6_relat_1(X0),X1) = X1
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f463,plain,
! [X2,X0,X1] :
( k2_group_3(X0,X1,X2) = X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f467,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f472,plain,
! [X0] :
( k2_group_1(k5_autgroup(X0)) = k6_relat_1(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(definition_unfolding,[],[f460,f448]) ).
fof(f473,plain,
! [X1] :
( ~ sP1(k4_autgroup(X1),X1)
| sP0(X1,k4_autgroup(X1)) ),
inference(equality_resolution,[],[f307]) ).
fof(f474,plain,
! [X0] :
( u1_struct_0(k5_autgroup(X0)) = k4_autgroup(X0)
| ~ v1_group_1(k5_autgroup(X0))
| ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f319]) ).
fof(f476,definition,
sF37 = k5_autgroup(sK2),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f477,plain,
k5_autgroup(sK2) = sF37,
inference(reorient_equations,[],[f476]) ).
fof(f478,definition,
sF38 = k2_group_1(sF37),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f479,plain,
k2_group_1(sF37) = sF38,
inference(reorient_equations,[],[f478]) ).
fof(f480,plain,
sK3 != sF38,
inference(definition_folding,[],[f269,f479,f477]) ).
fof(f481,definition,
sF39 = u1_struct_0(sF37),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f482,plain,
u1_struct_0(sF37) = sF39,
inference(reorient_equations,[],[f481]) ).
fof(f483,plain,
m1_subset_1(sK3,sF39),
inference(definition_folding,[],[f268,f482,f477]) ).
fof(f484,plain,
! [X2,X0,X1] :
( k2_group_3(X0,X1,X2) = X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f463]) ).
fof(f485,plain,
! [X0] :
( u1_struct_0(k5_autgroup(X0)) = k4_autgroup(X0)
| ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f474,f338]) ).
fof(f486,plain,
! [X0] :
( u1_struct_0(k5_autgroup(X0)) = k4_autgroup(X0)
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f485,f337]) ).
fof(f487,plain,
! [X0] :
( u1_struct_0(k5_autgroup(X0)) = k4_autgroup(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f486,f336]) ).
fof(f488,plain,
k2_group_1(k5_autgroup(sK2)) = k6_relat_1(u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f472,f258,f259,f262,f261,f260]) ).
fof(f489,plain,
k2_group_1(sF37) = k6_relat_1(u1_struct_0(sK2)),
inference(forward_demodulation,[],[f488,f477]) ).
fof(f490,plain,
sF38 = k6_relat_1(u1_struct_0(sK2)),
inference(forward_demodulation,[],[f489,f479]) ).
fof(f493,definition,
( spl40_1
<=> l1_group_1(sF37) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f494,plain,
( l1_group_1(sF37)
| ~ spl40_1 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( ~ l1_group_1(sF37)
| spl40_1 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f509,definition,
( spl40_5
<=> v3_struct_0(sF37) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f510,plain,
( ~ v3_struct_0(sF37)
| spl40_5 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f533,plain,
( m1_subset_1(k2_group_1(sF37),sF39)
| v3_struct_0(sF37)
| ~ l1_group_1(sF37) ),
inference(superposition,[],[f328,f482]) ).
fof(f534,plain,
u1_struct_0(k5_autgroup(sK2)) = k4_autgroup(sK2),
inference(unit_resulting_resolution,[],[f487,f258,f259,f260,f261,f262]) ).
fof(f540,plain,
u1_struct_0(sF37) = k4_autgroup(sK2),
inference(forward_demodulation,[],[f534,f477]) ).
fof(f542,plain,
sF39 = k4_autgroup(sK2),
inference(forward_demodulation,[],[f540,f482]) ).
fof(f552,plain,
m1_group_2(k5_autgroup(sK2),k3_autgroup(sK2)),
inference(unit_resulting_resolution,[],[f336,f258,f259,f260,f261,f262]) ).
fof(f555,plain,
m1_group_2(sF37,k3_autgroup(sK2)),
inference(forward_demodulation,[],[f552,f477]) ).
fof(f594,plain,
! [X0] :
( k1_funct_1(sF38,X0) = X0
| ~ r2_hidden(X0,u1_struct_0(sK2)) ),
inference(superposition,[],[f462,f490]) ).
fof(f596,plain,
l1_struct_0(sK2),
inference(resolution,[],[f343,f258]) ).
fof(f597,plain,
( ~ sP1(sF39,sK2)
| sP0(sK2,sF39) ),
inference(superposition,[],[f473,f542]) ).
fof(f599,definition,
( spl40_7
<=> sP0(sK2,sF39) ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f601,plain,
( sP0(sK2,sF39)
| ~ spl40_7 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f603,definition,
( spl40_8
<=> sP1(sF39,sK2) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f605,plain,
( ~ sP1(sF39,sK2)
| spl40_8 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f606,plain,
( spl40_7
| ~ spl40_8 ),
inference(avatar_split_clause,[],[f597,f603,f599]) ).
fof(f607,plain,
( ~ m1_fraenkel(sF39,u1_struct_0(sK2),u1_struct_0(sK2))
| spl40_8 ),
inference(unit_resulting_resolution,[],[f318,f258,f259,f260,f261,f262,f605]) ).
fof(f608,plain,
v3_group_1(k3_autgroup(sK2)),
inference(unit_resulting_resolution,[],[f332,f258,f259,f260,f261,f262]) ).
fof(f613,plain,
( ~ v3_struct_0(sF37)
| v3_struct_0(k3_autgroup(sK2))
| ~ v3_group_1(k3_autgroup(sK2))
| ~ l1_group_1(k3_autgroup(sK2)) ),
inference(resolution,[],[f348,f555]) ).
fof(f614,plain,
( ~ v3_struct_0(sF37)
| v3_struct_0(k3_autgroup(sK2))
| ~ l1_group_1(k3_autgroup(sK2)) ),
inference(forward_subsumption_resolution,[],[f613,f608]) ).
fof(f617,definition,
( spl40_9
<=> l1_group_1(k3_autgroup(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_9])],[avatar_definition]) ).
fof(f618,plain,
( l1_group_1(k3_autgroup(sK2))
| ~ spl40_9 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f621,definition,
( spl40_10
<=> v3_struct_0(k3_autgroup(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_10])],[avatar_definition]) ).
fof(f622,plain,
( ~ v3_struct_0(k3_autgroup(sK2))
| spl40_10 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f624,plain,
( ~ spl40_9
| spl40_10
| ~ spl40_5 ),
inference(avatar_split_clause,[],[f614,f509,f621,f617]) ).
fof(f628,plain,
m1_fraenkel(k4_autgroup(sK2),u1_struct_0(sK2),u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f335,f258,f259,f260,f261,f262]) ).
fof(f631,plain,
( m1_fraenkel(sF39,u1_struct_0(sK2),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f335,f542]) ).
fof(f636,plain,
( v3_struct_0(sK2)
| ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f631,f607]) ).
fof(f637,plain,
m1_fraenkel(sF39,u1_struct_0(sK2),u1_struct_0(sK2)),
inference(forward_demodulation,[],[f628,f542]) ).
fof(f639,plain,
( ~ v1_group_1(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f636,f262]) ).
fof(f642,plain,
( ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f639,f261]) ).
fof(f643,plain,
( ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f642,f260]) ).
fof(f644,plain,
( ~ l1_group_1(sK2)
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f643,f259]) ).
fof(f645,plain,
( $false
| spl40_8 ),
inference(forward_subsumption_resolution,[],[f644,f258]) ).
fof(f646,plain,
spl40_8,
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f651,plain,
~ v1_xboole_0(sF39),
inference(resolution,[],[f637,f345]) ).
fof(f652,plain,
l1_group_1(k3_autgroup(sK2)),
inference(unit_resulting_resolution,[],[f330,f258,f259,f260,f261,f262]) ).
fof(f654,plain,
spl40_9,
inference(avatar_split_clause,[],[f652,f617]) ).
fof(f710,plain,
~ v3_struct_0(k3_autgroup(sK2)),
inference(unit_resulting_resolution,[],[f334,f258,f259,f260,f261,f262]) ).
fof(f711,plain,
~ spl40_10,
inference(avatar_split_clause,[],[f710,f621]) ).
fof(f733,plain,
! [X2,X3,X0,X1] :
( k2_group_3(X0,X1,sK8(X0,X2)) = k1_funct_1(X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X2,X3)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| ~ sP0(X0,X3) ),
inference(superposition,[],[f449,f309]) ).
fof(f734,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X2,X3)
| k2_group_3(X0,X1,sK8(X0,X2)) = k1_funct_1(X2,X1)
| ~ sP0(X0,X3) ),
inference(duplicate_literal_removal,[],[f733]) ).
fof(f738,plain,
~ v1_xboole_0(u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f368,f596,f262]) ).
fof(f741,plain,
m2_fraenkel(sK3,u1_struct_0(sK2),u1_struct_0(sK2),sF39),
inference(unit_resulting_resolution,[],[f451,f483,f637,f738]) ).
fof(f749,plain,
( r2_hidden(sK3,sF39)
| v1_xboole_0(sF39) ),
inference(resolution,[],[f461,f483]) ).
fof(f750,plain,
r2_hidden(sK3,sF39),
inference(forward_subsumption_resolution,[],[f749,f651]) ).
fof(f763,plain,
! [X2,X3,X0,X1] :
( v1_funct_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f350,f451]) ).
fof(f764,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| v1_funct_2(X0,X1,X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f777,plain,
! [X2,X3,X0,X1] :
( m2_relset_1(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2)
| ~ m1_subset_1(X0,X3)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X1,X2) ),
inference(resolution,[],[f349,f451]) ).
fof(f778,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X3,X1,X2)
| v1_xboole_0(X2)
| m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(X0,X3) ),
inference(duplicate_literal_removal,[],[f777]) ).
fof(f819,plain,
m2_relset_1(sK3,u1_struct_0(sK2),u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f778,f483,f738,f637]) ).
fof(f834,plain,
v1_funct_2(sK3,u1_struct_0(sK2),u1_struct_0(sK2)),
inference(unit_resulting_resolution,[],[f350,f738,f637,f741]) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(sK8(X2,X0),u1_struct_0(X2))
| ~ sP0(X2,X1)
| ~ m1_subset_1(X0,k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)))
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_fraenkel(k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(resolution,[],[f310,f451]) ).
fof(f843,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(sK8(X2,X0),u1_struct_0(X2))
| ~ sP0(X2,X1)
| ~ m1_subset_1(X0,k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)))
| v1_xboole_0(u1_struct_0(X2)) ),
inference(forward_subsumption_resolution,[],[f840,f324]) ).
fof(f869,plain,
( l1_group_1(sF37)
| v3_struct_0(k3_autgroup(sK2))
| ~ v3_group_1(k3_autgroup(sK2))
| ~ l1_group_1(k3_autgroup(sK2)) ),
inference(resolution,[],[f346,f555]) ).
fof(f871,plain,
( v3_struct_0(k3_autgroup(sK2))
| ~ v3_group_1(k3_autgroup(sK2))
| ~ l1_group_1(k3_autgroup(sK2))
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f869,f495]) ).
fof(f883,plain,
( ~ v3_group_1(k3_autgroup(sK2))
| ~ l1_group_1(k3_autgroup(sK2))
| spl40_1
| spl40_10 ),
inference(forward_subsumption_resolution,[],[f871,f622]) ).
fof(f885,plain,
( ~ l1_group_1(k3_autgroup(sK2))
| spl40_1
| spl40_10 ),
inference(forward_subsumption_resolution,[],[f883,f608]) ).
fof(f887,plain,
( $false
| spl40_1
| ~ spl40_9
| spl40_10 ),
inference(forward_subsumption_resolution,[],[f885,f618]) ).
fof(f888,plain,
( spl40_1
| ~ spl40_9
| spl40_10 ),
inference(avatar_contradiction_clause,[],[f887]) ).
fof(f889,plain,
( m1_subset_1(k2_group_1(sF37),sF39)
| ~ l1_group_1(sF37)
| spl40_5 ),
inference(forward_subsumption_resolution,[],[f533,f510]) ).
fof(f896,plain,
( m1_subset_1(k2_group_1(sF37),sF39)
| ~ spl40_1
| spl40_5 ),
inference(forward_subsumption_resolution,[],[f889,f494]) ).
fof(f903,plain,
( m1_subset_1(sF38,sF39)
| ~ spl40_1
| spl40_5 ),
inference(forward_demodulation,[],[f896,f479]) ).
fof(f944,plain,
( v1_funct_2(sF38,u1_struct_0(sK2),u1_struct_0(sK2))
| ~ spl40_1
| spl40_5 ),
inference(unit_resulting_resolution,[],[f764,f738,f637,f903]) ).
fof(f945,plain,
( m2_relset_1(sF38,u1_struct_0(sK2),u1_struct_0(sK2))
| ~ spl40_1
| spl40_5 ),
inference(unit_resulting_resolution,[],[f778,f738,f637,f903]) ).
fof(f1010,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_fraenkel(X0,X1))
| k1_xboole_0 = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(superposition,[],[f457,f447]) ).
fof(f1011,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_fraenkel(X0,X1))
| k1_xboole_0 = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f1010,f467]) ).
fof(f1012,plain,
! [X2,X0,X1] :
( m1_subset_1(X1,k1_fraenkel(X2,X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m2_relset_1(X1,X2,X0)
| k1_xboole_0 = X0 ),
inference(resolution,[],[f1011,f459]) ).
fof(f1983,plain,
v1_funct_1(sK3),
inference(unit_resulting_resolution,[],[f351,f738,f637,f741]) ).
fof(f1984,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,[],[f351,f451]) ).
fof(f1986,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X3,X1)
| v1_xboole_0(X1)
| v1_funct_1(X0)
| ~ m1_subset_1(X0,X2) ),
inference(duplicate_literal_removal,[],[f1984]) ).
fof(f1998,plain,
( v1_funct_1(sF38)
| ~ spl40_1
| spl40_5 ),
inference(unit_resulting_resolution,[],[f1986,f903,f738,f637]) ).
fof(f2436,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| v1_funct_1(X1)
| ~ m1_subset_1(X1,k1_fraenkel(X2,X0)) ),
inference(resolution,[],[f324,f1986]) ).
fof(f2438,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_xboole_0(X0)
| v1_funct_2(X1,X2,X0)
| ~ m1_subset_1(X1,k1_fraenkel(X2,X0)) ),
inference(resolution,[],[f324,f764]) ).
fof(f2446,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_fraenkel(X2,X0))
| v1_funct_2(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f2438]) ).
fof(f2447,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| v1_funct_1(X1)
| ~ m1_subset_1(X1,k1_fraenkel(X2,X0)) ),
inference(duplicate_literal_removal,[],[f2436]) ).
fof(f2647,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,X3)
| k2_group_3(X0,X2,sK8(X0,X1)) = k1_funct_1(X1,X2)
| ~ sP0(X0,X3)
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_fraenkel(k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f734,f451]) ).
fof(f2654,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,X3)
| k2_group_3(X0,X2,sK8(X0,X1)) = k1_funct_1(X1,X2)
| ~ sP0(X0,X3)
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
| ~ m1_fraenkel(k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f2647]) ).
fof(f2661,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,X3)
| k2_group_3(X0,X2,sK8(X0,X1)) = k1_funct_1(X1,X2)
| ~ sP0(X0,X3)
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f2654,f324]) ).
fof(f2662,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,X3)
| k2_group_3(X0,X2,sK8(X0,X1)) = k1_funct_1(X1,X2)
| ~ sP0(X0,X3)
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f2661,f2447]) ).
fof(f2663,plain,
! [X2,X3,X0,X1] :
( k2_group_3(X0,X2,sK8(X0,X1)) = k1_funct_1(X1,X2)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X1,X3)
| v1_xboole_0(u1_struct_0(X0))
| ~ sP0(X0,X3)
| ~ m1_subset_1(X1,k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f2662,f2446]) ).
fof(f4179,definition,
( spl40_104
<=> k1_xboole_0 = u1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_104])],[avatar_definition]) ).
fof(f4181,plain,
( k1_xboole_0 = u1_struct_0(sK2)
| ~ spl40_104 ),
inference(avatar_component_clause,[],[f4179]) ).
fof(f4201,plain,
! [X2,X3,X0,X1] :
( k1_funct_1(X0,X1) = X1
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(sK8(X2,X0),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_hidden(X0,X3)
| v1_xboole_0(u1_struct_0(X2))
| ~ sP0(X2,X3)
| ~ m1_subset_1(X0,k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2))) ),
inference(superposition,[],[f484,f2663]) ).
fof(f4214,plain,
! [X2,X3,X0,X1] :
( k1_funct_1(X0,X1) = X1
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(sK8(X2,X0),u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X2))
| ~ r2_hidden(X0,X3)
| v1_xboole_0(u1_struct_0(X2))
| ~ sP0(X2,X3)
| ~ m1_subset_1(X0,k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2))) ),
inference(duplicate_literal_removal,[],[f4201]) ).
fof(f4227,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_fraenkel(u1_struct_0(X2),u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ v7_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_relset_1(X0,u1_struct_0(X2),u1_struct_0(X2))
| ~ r2_hidden(X0,X3)
| v1_xboole_0(u1_struct_0(X2))
| ~ sP0(X2,X3)
| k1_funct_1(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f4214,f843]) ).
fof(f4292,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ r2_hidden(X2,X3)
| v1_xboole_0(u1_struct_0(X0))
| ~ sP0(X0,X3)
| k1_funct_1(X2,X1) = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| u1_struct_0(X0) = k1_xboole_0 ),
inference(resolution,[],[f4227,f1012]) ).
fof(f4305,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X2,X3)
| v1_xboole_0(u1_struct_0(X0))
| ~ sP0(X0,X3)
| k1_funct_1(X2,X1) = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| u1_struct_0(X0) = k1_xboole_0 ),
inference(forward_subsumption_resolution,[],[f4292,f452]) ).
fof(f4308,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X2,X3)
| ~ sP0(X0,X3)
| k1_funct_1(X2,X1) = X1
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_xboole_0 ),
inference(forward_subsumption_resolution,[],[f4305,f467]) ).
fof(f7481,plain,
( m1_subset_1(sK36(u1_struct_0(sK2),sK3,sF38),u1_struct_0(sK2))
| ~ spl40_1
| spl40_5 ),
inference(unit_resulting_resolution,[],[f455,f1998,f1983,f480,f819,f834,f945,f944]) ).
fof(f7483,plain,
( k1_funct_1(sK3,sK36(u1_struct_0(sK2),sK3,sF38)) != k1_funct_1(sF38,sK36(u1_struct_0(sK2),sK3,sF38))
| ~ spl40_1
| spl40_5 ),
inference(unit_resulting_resolution,[],[f456,f1998,f1983,f480,f819,f834,f945,f944]) ).
fof(f7506,plain,
( sK36(u1_struct_0(sK2),sK3,sF38) != k1_funct_1(sK3,sK36(u1_struct_0(sK2),sK3,sF38))
| ~ r2_hidden(sK36(u1_struct_0(sK2),sK3,sF38),u1_struct_0(sK2))
| ~ spl40_1
| spl40_5 ),
inference(superposition,[],[f7483,f594]) ).
fof(f7508,definition,
( spl40_157
<=> r2_hidden(sK36(u1_struct_0(sK2),sK3,sF38),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_157])],[avatar_definition]) ).
fof(f7510,plain,
( ~ r2_hidden(sK36(u1_struct_0(sK2),sK3,sF38),u1_struct_0(sK2))
| spl40_157 ),
inference(avatar_component_clause,[],[f7508]) ).
fof(f7512,definition,
( spl40_158
<=> sK36(u1_struct_0(sK2),sK3,sF38) = k1_funct_1(sK3,sK36(u1_struct_0(sK2),sK3,sF38)) ),
introduced(definition,[new_symbols(definition,[spl40_158])],[avatar_definition]) ).
fof(f7514,plain,
( sK36(u1_struct_0(sK2),sK3,sF38) != k1_funct_1(sK3,sK36(u1_struct_0(sK2),sK3,sF38))
| spl40_158 ),
inference(avatar_component_clause,[],[f7512]) ).
fof(f7515,plain,
( ~ spl40_157
| ~ spl40_158
| ~ spl40_1
| spl40_5 ),
inference(avatar_split_clause,[],[f7506,f509,f493,f7512,f7508]) ).
fof(f7538,plain,
( ~ m1_subset_1(sK36(u1_struct_0(sK2),sK3,sF38),u1_struct_0(sK2))
| spl40_157 ),
inference(unit_resulting_resolution,[],[f461,f738,f7510]) ).
fof(f7539,plain,
( $false
| ~ spl40_1
| spl40_5
| spl40_157 ),
inference(forward_subsumption_resolution,[],[f7538,f7481]) ).
fof(f7540,plain,
( ~ spl40_1
| spl40_5
| spl40_157 ),
inference(avatar_contradiction_clause,[],[f7539]) ).
fof(f10076,plain,
( k1_xboole_0 = u1_struct_0(sK2)
| ~ spl40_1
| spl40_5
| ~ spl40_7
| spl40_158 ),
inference(unit_resulting_resolution,[],[f4308,f258,f262,f260,f1983,f259,f601,f750,f264,f7481,f7514,f834,f819]) ).
fof(f10106,plain,
( spl40_104
| ~ spl40_1
| spl40_5
| ~ spl40_7
| spl40_158 ),
inference(avatar_split_clause,[],[f10076,f7512,f599,f509,f493,f4179]) ).
fof(f10154,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl40_104 ),
inference(backward_demodulation,[],[f738,f4181]) ).
fof(f10412,plain,
( $false
| ~ spl40_104 ),
inference(forward_subsumption_resolution,[],[f10154,f369]) ).
fof(f10413,plain,
~ spl40_104,
inference(avatar_contradiction_clause,[],[f10412]) ).
cnf(s4,plain,
( spl40_7
| ~ spl40_8 ),
inference(sat_conversion,[],[f606]) ).
cnf(s5,plain,
( ~ spl40_5
| ~ spl40_9
| spl40_10 ),
inference(sat_conversion,[],[f624]) ).
cnf(s7,plain,
spl40_8,
inference(sat_conversion,[],[f646]) ).
cnf(s8,plain,
spl40_9,
inference(sat_conversion,[],[f654]) ).
cnf(s10,plain,
~ spl40_10,
inference(sat_conversion,[],[f711]) ).
cnf(s23,plain,
( spl40_1
| ~ spl40_9
| spl40_10 ),
inference(sat_conversion,[],[f888]) ).
cnf(s195,plain,
( ~ spl40_1
| spl40_5
| ~ spl40_157
| ~ spl40_158 ),
inference(sat_conversion,[],[f7515]) ).
cnf(s197,plain,
( ~ spl40_1
| spl40_5
| spl40_157 ),
inference(sat_conversion,[],[f7540]) ).
cnf(s235,plain,
( ~ spl40_1
| spl40_5
| ~ spl40_7
| spl40_104
| spl40_158 ),
inference(sat_conversion,[],[f10106]) ).
cnf(s248,plain,
~ spl40_104,
inference(sat_conversion,[],[f10413]) ).
cnf(s252,plain,
( ~ spl40_1
| spl40_5
| ~ spl40_7
| spl40_158 ),
inference(rat,[],[s235,s248]) ).
cnf(s266,plain,
spl40_1,
inference(rat,[],[s23,s10,s8]) ).
cnf(s277,plain,
~ spl40_5,
inference(rat,[],[s5,s10,s8]) ).
cnf(s278,plain,
spl40_157,
inference(rat,[],[s197,s266,s277]) ).
cnf(s280,plain,
~ spl40_158,
inference(rat,[],[s195,s277,s266,s278]) ).
cnf(s282,plain,
~ spl40_7,
inference(rat,[],[s252,s277,s266,s280]) ).
cnf(s283,plain,
$false,
inference(rat,[],[s4,s7,s282]) ).
fof(f10416,plain,
$false,
inference(avatar_sat_refutation,[],[s283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP634+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:14:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.39/2.78 % (1201109)Detected formulas, will run a generic FOF schedule.
% 12.39/2.78 % (1201116)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=3740219398:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.39/2.78 % (1201115)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=2541100195:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.39/2.78 % (1201117)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1616964851:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.39/2.78 % (1201119)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1766322005:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.39/2.78 % (1201114)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=1094953192:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.39/2.78 % (1201117)Refutation not found, incomplete strategy
% 12.39/2.78 % (1201117)------------------------------
% 12.39/2.78 % (1201117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.78 % (1201117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.78 % (1201117)CaDiCaL version: 2.1.3
% 12.39/2.78 % (1201117)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.78 % (1201117)Time elapsed: 0.002 s
% 12.39/2.78 % (1201117)Peak memory usage: 88 MB
% 12.39/2.78 % (1201117)Instructions burned: 1 (million)
% 12.39/2.78 % (1201118)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2779631353:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.39/2.78 % (1201120)dis-21_1_sil=8000:lcm=predicate:random_seed=907531479:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.39/2.78 % (1201118)Refutation not found, incomplete strategy
% 12.39/2.78 % (1201118)------------------------------
% 12.39/2.78 % (1201118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.78 % (1201118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.78 % (1201118)CaDiCaL version: 2.1.3
% 12.39/2.78 % (1201118)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.78 % (1201118)Time elapsed: 0.004 s
% 12.39/2.78 % (1201118)Peak memory usage: 88 MB
% 12.39/2.78 % (1201118)Instructions burned: 5 (million)
% 12.39/2.78 % (1201120)Instruction limit reached!
% 12.39/2.78 % (1201120)------------------------------
% 12.39/2.78 % (1201120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.78 % (1201120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.78 % (1201120)CaDiCaL version: 2.1.3
% 12.39/2.78 % (1201120)Termination reason: Instruction limit
% 12.39/2.78 % (1201120)Termination phase: Saturation
% 12.39/2.78 % (1201120)Time elapsed: 0.073 s
% 12.39/2.78 % (1201120)Peak memory usage: 91 MB
% 12.39/2.78 % (1201120)Instructions burned: 129 (million)
% 12.39/2.78 % (1201119)Instruction limit reached!
% 12.39/2.78 % (1201119)------------------------------
% 12.39/2.78 % (1201119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.78 % (1201119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.78 % (1201119)CaDiCaL version: 2.1.3
% 12.39/2.78 % (1201119)Termination reason: Instruction limit
% 12.39/2.78 % (1201119)Termination phase: Saturation
% 12.39/2.78 % (1201119)Time elapsed: 0.090 s
% 12.39/2.78 % (1201119)Peak memory usage: 91 MB
% 12.39/2.78 % (1201119)Instructions burned: 139 (million)
% 12.39/2.78 % (1201128)lrs+10_1_sil=8000:sp=occurrence:random_seed=2839554710:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.39/2.78 % (1201129)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3407166340:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.39/2.78 % (1201129)Refutation not found, incomplete strategy
% 12.39/2.78 % (1201129)------------------------------
% 12.39/2.78 % (1201129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.78 % (1201129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.78 % (1201129)CaDiCaL version: 2.1.3
% 12.39/2.78 % (1201129)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.69 % (1201129)Time elapsed: 0.005 s
% 19.93/3.69 % (1201129)Peak memory usage: 89 MB
% 19.93/3.69 % (1201129)Instructions burned: 6 (million)
% 19.93/3.69 % (1201117)------------------------------
% 19.93/3.69 % (1201117)------------------------------
% 19.93/3.69 % (1201118)------------------------------
% 19.93/3.69 % (1201118)------------------------------
% 19.93/3.69 % (1201132)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3165173389:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.93/3.69 % (1201128)Instruction limit reached!
% 19.93/3.69 % (1201128)------------------------------
% 19.93/3.69 % (1201128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.69 % (1201128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.69 % (1201128)CaDiCaL version: 2.1.3
% 19.93/3.69 % (1201128)Termination reason: Instruction limit
% 19.93/3.69 % (1201128)Termination phase: Saturation
% 19.93/3.69 % (1201128)Time elapsed: 0.176 s
% 19.93/3.69 % (1201128)Peak memory usage: 92 MB
% 19.93/3.69 % (1201128)Instructions burned: 285 (million)
% 19.93/3.69 % (1201133)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=1675138533:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.93/3.69 % (1201129)------------------------------
% 19.93/3.69 % (1201129)------------------------------
% 19.93/3.69 % (1201133)Instruction limit reached!
% 19.93/3.69 % (1201133)------------------------------
% 19.93/3.69 % (1201133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.69 % (1201133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.69 % (1201133)CaDiCaL version: 2.1.3
% 19.93/3.69 % (1201133)Termination reason: Instruction limit
% 19.93/3.69 % (1201133)Termination phase: Saturation
% 19.93/3.69 % (1201133)Time elapsed: 0.129 s
% 19.93/3.69 % (1201133)Peak memory usage: 91 MB
% 19.93/3.69 % (1201133)Instructions burned: 250 (million)
% 19.93/3.69 % (1201136)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=119691088:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.93/3.69 % (1201136)Refutation not found, incomplete strategy
% 19.93/3.69 % (1201136)------------------------------
% 19.93/3.69 % (1201136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.69 % (1201136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.69 % (1201136)CaDiCaL version: 2.1.3
% 19.93/3.69 % (1201136)Termination reason: Refutation not found, incomplete strategy
% 19.93/3.69 % (1201136)Time elapsed: 0.005 s
% 19.93/3.69 % (1201136)Peak memory usage: 88 MB
% 19.93/3.69 % (1201136)Instructions burned: 6 (million)
% 19.93/3.69 % (1201132)Instruction limit reached!
% 19.93/3.69 % (1201132)------------------------------
% 19.93/3.69 % (1201132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.69 % (1201132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.69 % (1201132)CaDiCaL version: 2.1.3
% 19.93/3.69 % (1201132)Termination reason: Instruction limit
% 19.93/3.69 % (1201132)Termination phase: Saturation
% 19.93/3.69 % (1201132)Time elapsed: 0.195 s
% 19.93/3.69 % (1201132)Peak memory usage: 93 MB
% 19.93/3.69 % (1201132)Instructions burned: 326 (million)
% 19.93/3.69 % (1201137)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2691332561:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.93/3.69 % (1201138)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2373401426:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.93/3.69 % (1201140)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1054272404:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.93/3.69 % (1201138)Instruction limit reached!
% 19.93/3.69 % (1201138)------------------------------
% 19.93/3.69 % (1201138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.93/3.69 % (1201138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.93/3.69 % (1201138)CaDiCaL version: 2.1.3
% 19.93/3.69 % (1201138)Termination reason: Instruction limit
% 19.93/3.69 % (1201138)Termination phase: Saturation
% 19.93/3.69 % (1201138)Time elapsed: 0.072 s
% 19.93/3.69 % (1201138)Peak memory usage: 91 MB
% 19.93/3.69 % (1201138)Instructions burned: 113 (million)
% 19.93/3.69 % (1201136)------------------------------
% 19.93/3.69 % (1201136)------------------------------
% 19.93/3.69 % (1201140)Instruction limit reached!
% 19.93/3.69 % (1201140)------------------------------
% 37.23/6.09 % (1201140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201140)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201140)Termination reason: Instruction limit
% 37.23/6.09 % (1201140)Termination phase: Saturation
% 37.23/6.09 % (1201140)Time elapsed: 0.062 s
% 37.23/6.09 % (1201140)Peak memory usage: 89 MB
% 37.23/6.09 % (1201140)Instructions burned: 128 (million)
% 37.23/6.09 % (1201144)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3028547783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 37.23/6.09 % (1201144)Refutation not found, incomplete strategy
% 37.23/6.09 % (1201144)------------------------------
% 37.23/6.09 % (1201144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201144)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201144)Termination reason: Refutation not found, incomplete strategy
% 37.23/6.09 % (1201144)Time elapsed: 0.002 s
% 37.23/6.09 % (1201144)Peak memory usage: 88 MB
% 37.23/6.09 % (1201144)Instructions burned: 2 (million)
% 37.23/6.09 % (1201146)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3973939570:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 37.23/6.09 % (1201145)lrs+10_1_sil=8000:sp=occurrence:random_seed=2775474589:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 37.23/6.09 % (1201146)Refutation not found, incomplete strategy
% 37.23/6.09 % (1201146)------------------------------
% 37.23/6.09 % (1201146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201146)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201146)Termination reason: Refutation not found, incomplete strategy
% 37.23/6.09 % (1201146)Time elapsed: 0.007 s
% 37.23/6.09 % (1201146)Peak memory usage: 88 MB
% 37.23/6.09 % (1201146)Instructions burned: 10 (million)
% 37.23/6.09 % (1201144)------------------------------
% 37.23/6.09 % (1201144)------------------------------
% 37.23/6.09 % (1201146)------------------------------
% 37.23/6.09 % (1201146)------------------------------
% 37.23/6.09 % (1201150)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3573991597:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 37.23/6.09 % (1201151)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2775171103:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 37.23/6.09 % (1201151)Instruction limit reached!
% 37.23/6.09 % (1201151)------------------------------
% 37.23/6.09 % (1201151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201151)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201151)Termination reason: Instruction limit
% 37.23/6.09 % (1201151)Termination phase: Saturation
% 37.23/6.09 % (1201151)Time elapsed: 0.077 s
% 37.23/6.09 % (1201151)Peak memory usage: 90 MB
% 37.23/6.09 % (1201151)Instructions burned: 135 (million)
% 37.23/6.09 % (1201145)Instruction limit reached!
% 37.23/6.09 % (1201145)------------------------------
% 37.23/6.09 % (1201145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201145)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201145)Termination reason: Instruction limit
% 37.23/6.09 % (1201145)Termination phase: Saturation
% 37.23/6.09 % (1201145)Time elapsed: 0.560 s
% 37.23/6.09 % (1201145)Peak memory usage: 101 MB
% 37.23/6.09 % (1201145)Instructions burned: 908 (million)
% 37.23/6.09 % (1201154)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2774015531:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 37.23/6.09 % (1201155)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1619048422:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 37.23/6.09 % (1201154)Instruction limit reached!
% 37.23/6.09 % (1201154)------------------------------
% 37.23/6.09 % (1201154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201154)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201154)Termination reason: Instruction limit
% 37.23/6.09 % (1201154)Termination phase: Saturation
% 37.23/6.09 % (1201154)Time elapsed: 0.328 s
% 37.23/6.09 % (1201154)Peak memory usage: 92 MB
% 37.23/6.09 % (1201154)Instructions burned: 592 (million)
% 37.23/6.09 % (1201158)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=561721934:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 37.23/6.09 % (1201158)Instruction limit reached!
% 37.23/6.09 % (1201158)------------------------------
% 37.23/6.09 % (1201158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201158)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201158)Termination reason: Instruction limit
% 37.23/6.09 % (1201158)Termination phase: Saturation
% 37.23/6.09 % (1201158)Time elapsed: 0.080 s
% 37.23/6.09 % (1201158)Peak memory usage: 90 MB
% 37.23/6.09 % (1201158)Instructions burned: 126 (million)
% 37.23/6.09 % (1201160)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=884088051:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 37.23/6.09 % (1201137)Instruction limit reached!
% 37.23/6.09 % (1201137)------------------------------
% 37.23/6.09 % (1201137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201137)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201137)Termination reason: Instruction limit
% 37.23/6.09 % (1201137)Termination phase: Saturation
% 37.23/6.09 % (1201137)Time elapsed: 1.566 s
% 37.23/6.09 % (1201137)Peak memory usage: 141 MB
% 37.23/6.09 % (1201137)Instructions burned: 2350 (million)
% 37.23/6.09 % (1201160)Instruction limit reached!
% 37.23/6.09 % (1201160)------------------------------
% 37.23/6.09 % (1201160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201160)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201160)Termination reason: Instruction limit
% 37.23/6.09 % (1201160)Termination phase: Saturation
% 37.23/6.09 % (1201160)Time elapsed: 0.083 s
% 37.23/6.09 % (1201160)Peak memory usage: 90 MB
% 37.23/6.09 % (1201160)Instructions burned: 135 (million)
% 37.23/6.09 % (1201162)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2881555305:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 37.23/6.09 % (1201162)Refutation not found, incomplete strategy
% 37.23/6.09 % (1201162)------------------------------
% 37.23/6.09 % (1201162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201162)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201162)Termination reason: Refutation not found, incomplete strategy
% 37.23/6.09 % (1201162)Time elapsed: 0.002 s
% 37.23/6.09 % (1201162)Peak memory usage: 88 MB
% 37.23/6.09 % (1201162)Instructions burned: 2 (million)
% 37.23/6.09 % (1201163)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1274115906:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 37.23/6.09 % (1201163)Refutation not found, incomplete strategy
% 37.23/6.09 % (1201163)------------------------------
% 37.23/6.09 % (1201163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201163)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201163)Termination reason: Refutation not found, incomplete strategy
% 37.23/6.09 % (1201163)Time elapsed: 0.005 s
% 37.23/6.09 % (1201163)Peak memory usage: 88 MB
% 37.23/6.09 % (1201163)Instructions burned: 6 (million)
% 37.23/6.09 % (1201162)------------------------------
% 37.23/6.09 % (1201162)------------------------------
% 37.23/6.09 % (1201163)------------------------------
% 37.23/6.09 % (1201163)------------------------------
% 37.23/6.09 % (1201166)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=87681016:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 37.23/6.09 % (1201167)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=1820647925:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 37.23/6.09 % (1201167)Instruction limit reached!
% 37.23/6.09 % (1201167)------------------------------
% 37.23/6.09 % (1201167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201167)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201167)Termination reason: Instruction limit
% 37.23/6.09 % (1201167)Termination phase: Saturation
% 37.23/6.09 % (1201167)Time elapsed: 0.087 s
% 37.23/6.09 % (1201167)Peak memory usage: 90 MB
% 37.23/6.09 % (1201167)Instructions burned: 151 (million)
% 37.23/6.09 % (1201170)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3426351804:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 37.23/6.09 % (1201150)Instruction limit reached!
% 37.23/6.09 % (1201150)------------------------------
% 37.23/6.09 % (1201150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201150)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201150)Termination reason: Instruction limit
% 37.23/6.09 % (1201150)Termination phase: Saturation
% 37.23/6.09 % (1201150)Time elapsed: 2.844 s
% 37.23/6.09 % (1201150)Peak memory usage: 151 MB
% 37.23/6.09 % (1201150)Instructions burned: 5204 (million)
% 37.23/6.09 % (1201172)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=490427299:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 37.23/6.09 % (1201172)Instruction limit reached!
% 37.23/6.09 % (1201172)------------------------------
% 37.23/6.09 % (1201172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201172)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201172)Termination reason: Instruction limit
% 37.23/6.09 % (1201172)Termination phase: Saturation
% 37.23/6.09 % (1201172)Time elapsed: 0.312 s
% 37.23/6.09 % (1201172)Peak memory usage: 98 MB
% 37.23/6.09 % (1201172)Instructions burned: 667 (million)
% 37.23/6.09 % (1201174)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1902224771:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 37.23/6.09 % (1201174)Instruction limit reached!
% 37.23/6.09 % (1201174)------------------------------
% 37.23/6.09 % (1201174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201174)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201174)Termination reason: Instruction limit
% 37.23/6.09 % (1201174)Termination phase: Saturation
% 37.23/6.09 % (1201174)Time elapsed: 0.110 s
% 37.23/6.09 % (1201174)Peak memory usage: 91 MB
% 37.23/6.09 % (1201174)Instructions burned: 186 (million)
% 37.23/6.09 % (1201170)First to succeed.
% 37.23/6.09 % (1201170)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1201109"
% 37.23/6.09 % (1201176)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3073273204:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 37.23/6.09 % (1201176)Refutation not found, incomplete strategy
% 37.23/6.09 % (1201176)------------------------------
% 37.23/6.09 % (1201176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.23/6.09 % (1201176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/6.09 % (1201176)CaDiCaL version: 2.1.3
% 37.23/6.09 % (1201176)Termination reason: Refutation not found, incomplete strategy
% 37.23/6.09 % (1201176)Time elapsed: 0.007 s
% 37.23/6.09 % (1201176)Peak memory usage: 89 MB
% 37.23/6.09 % (1201176)Instructions burned: 9 (million)
% 37.23/6.09 % (1201166)Also succeeded, but the first one will report.
% 37.23/6.09 % (1201170)Refutation found. Thanks to Tanya!
% 37.23/6.09 % SZS status Theorem for theBenchmark
% 37.23/6.09 % SZS output start Proof for theBenchmark
% See solution above
% 37.81/6.28 % (1201170)------------------------------
% 37.81/6.28 % (1201170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.81/6.28 % (1201170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.81/6.28 % (1201170)CaDiCaL version: 2.1.3
% 37.81/6.28 % (1201170)Termination reason: Refutation
% 37.81/6.28 % (1201170)Time elapsed: 1.902 s
% 37.81/6.28 % (1201170)Peak memory usage: 146 MB
% 37.81/6.28 % (1201170)Instructions burned: 2880 (million)
% 37.81/6.28 % (1201170)------------------------------
% 37.81/6.28 % (1201170)------------------------------
% 37.81/6.28 % (1201109)Success in time 5.259 s
% 37.81/6.28 % Vampire exiting
%------------------------------------------------------------------------------