%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT348+3 : 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 : n014.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 11:47:10 AM UTC 2026
% Result : Theorem 39.59s 9.11s
% Output : Refutation 46.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of formulae : 189 ( 33 unt; 12 def)
% Number of atoms : 712 ( 19 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 911 ( 388 ~; 371 |; 126 &)
% ( 12 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 58 ( 0 sgn 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6788,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(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11558,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_lattice3) ).
fof(f11637,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f15095,axiom,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).
fof(f16049,axiom,
! [X0] :
( l1_orders_2(X0)
=> u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_yellow_6) ).
fof(f16204,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f16205,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f16208,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f16213,axiom,
! [X0] :
( ( v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f16829,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X0)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel13) ).
fof(f17255,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(f17262,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f17788,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel22) ).
fof(f17789,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) ) ),
inference(negated_conjecture,[status(cth)],[f17788]) ).
fof(f17867,plain,
? [X0] :
( ( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17789]) ).
fof(f17868,plain,
? [X0] :
( ( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f17867]) ).
fof(f17895,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17262]) ).
fof(f17896,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f17895]) ).
fof(f17897,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17255]) ).
fof(f17898,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f17897]) ).
fof(f18096,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X0)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16829]) ).
fof(f18097,plain,
! [X0] :
( ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X0)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18096]) ).
fof(f18496,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16213]) ).
fof(f18497,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18496]) ).
fof(f18502,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16208]) ).
fof(f18503,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18502]) ).
fof(f18506,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16205]) ).
fof(f18507,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18506]) ).
fof(f18508,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16204]) ).
fof(f18509,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18508]) ).
fof(f18510,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16049]) ).
fof(f18511,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11637]) ).
fof(f18515,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11558]) ).
fof(f18516,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18515]) ).
fof(f19090,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f19753,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f22765,plain,
( ( v3_struct_0(k2_yellow_1(k9_waybel_0(sK39)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39))) )
& ~ v3_struct_0(sK39)
& v2_orders_2(sK39)
& v3_orders_2(sK39)
& v4_orders_2(sK39)
& v2_yellow_0(sK39)
& v2_lattice3(sK39)
& l1_orders_2(sK39) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X0,sK39)],[f17868]) ).
fof(f24355,plain,
l1_orders_2(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24356,plain,
v2_lattice3(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24357,plain,
v2_yellow_0(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24358,plain,
v4_orders_2(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24359,plain,
v3_orders_2(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24360,plain,
v2_orders_2(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24361,plain,
~ v3_struct_0(sK39),
inference(cnf_transformation,[],[f22765]) ).
fof(f24362,plain,
( v3_struct_0(k2_yellow_1(k9_waybel_0(sK39)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k3_yellow_1(u1_struct_0(sK39))) ),
inference(cnf_transformation,[],[f22765]) ).
fof(f24399,plain,
! [X0] : k3_yellow_1(X0) = k2_yellow_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f15095]) ).
fof(f24442,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f17896]) ).
fof(f24452,plain,
! [X0] :
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f17898]) ).
fof(f24776,plain,
! [X0] :
( m1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18097]) ).
fof(f24777,plain,
! [X0] :
( v4_waybel_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18097]) ).
fof(f24778,plain,
! [X0] :
( v7_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18097]) ).
fof(f24779,plain,
! [X0] :
( v4_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k3_yellow_1(u1_struct_0(X0)))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18097]) ).
fof(f25435,plain,
! [X0] :
( ~ v2_yellow_0(X0)
| v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18497]) ).
fof(f25442,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18503]) ).
fof(f25447,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18507]) ).
fof(f25449,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18509]) ).
fof(f25451,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f18510]) ).
fof(f25452,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f18511]) ).
fof(f25458,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18516]) ).
fof(f26264,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19090]) ).
fof(f27250,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f19753]) ).
fof(f31832,plain,
( v3_struct_0(k2_yellow_1(k9_waybel_0(sK39)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39)))) ),
inference(definition_unfolding,[],[f24362,f24399,f24399,f24399,f24399]) ).
fof(f31895,plain,
! [X0] :
( ~ v1_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| v4_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f24779,f24399]) ).
fof(f31896,plain,
! [X0] :
( ~ v1_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| v7_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f24778,f24399]) ).
fof(f31897,plain,
! [X0] :
( ~ v1_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| v4_waybel_0(k2_yellow_1(k8_waybel_0(X0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f24777,f24399]) ).
fof(f31898,plain,
! [X0] :
( ~ v1_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| m1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f24776,f24399]) ).
fof(f34762,definition,
( spl994_16
<=> m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_16])],[avatar_definition]) ).
fof(f34763,plain,
( ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| spl994_16 ),
inference(avatar_component_clause,[],[f34762]) ).
fof(f34765,definition,
( spl994_17
<=> v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_17])],[avatar_definition]) ).
fof(f34766,plain,
( ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| spl994_17 ),
inference(avatar_component_clause,[],[f34765]) ).
fof(f34768,definition,
( spl994_18
<=> v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_18])],[avatar_definition]) ).
fof(f34769,plain,
( ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| spl994_18 ),
inference(avatar_component_clause,[],[f34768]) ).
fof(f34771,definition,
( spl994_19
<=> v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_19])],[avatar_definition]) ).
fof(f34772,plain,
( ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| spl994_19 ),
inference(avatar_component_clause,[],[f34771]) ).
fof(f34774,definition,
( spl994_20
<=> v3_struct_0(k2_yellow_1(k9_waybel_0(sK39))) ),
introduced(definition,[new_symbols(definition,[spl994_20])],[avatar_definition]) ).
fof(f34775,plain,
( v3_struct_0(k2_yellow_1(k9_waybel_0(sK39)))
| ~ spl994_20 ),
inference(avatar_component_clause,[],[f34774]) ).
fof(f34776,plain,
( ~ spl994_16
| ~ spl994_17
| ~ spl994_18
| ~ spl994_19
| spl994_20 ),
inference(avatar_split_clause,[],[f31832,f34774,f34771,f34768,f34765,f34762]) ).
fof(f35224,plain,
u1_struct_0(sK39) = u1_struct_0(k7_lattice3(sK39)),
inference(resolution,[],[f25451,f24355]) ).
fof(f35225,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f27250,f26264]) ).
fof(f35226,plain,
u1_struct_0(sK39) = k2_pre_topc(sK39),
inference(resolution,[],[f35225,f24355]) ).
fof(f35227,plain,
( ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| spl994_19 ),
inference(superposition,[],[f34772,f35226]) ).
fof(f35233,plain,
l1_orders_2(k7_lattice3(sK39)),
inference(resolution,[],[f25452,f24355]) ).
fof(f35253,plain,
( v3_struct_0(sK39)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| k9_waybel_0(sK39) = k8_waybel_0(k7_lattice3(sK39)) ),
inference(resolution,[],[f24442,f24355]) ).
fof(f35259,definition,
( spl994_27
<=> v3_orders_2(k7_lattice3(sK39)) ),
introduced(definition,[new_symbols(definition,[spl994_27])],[avatar_definition]) ).
fof(f35260,plain,
( ~ v3_orders_2(k7_lattice3(sK39))
| spl994_27 ),
inference(avatar_component_clause,[],[f35259]) ).
fof(f35262,definition,
( spl994_28
<=> v2_orders_2(k7_lattice3(sK39)) ),
introduced(definition,[new_symbols(definition,[spl994_28])],[avatar_definition]) ).
fof(f35263,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| spl994_28 ),
inference(avatar_component_clause,[],[f35262]) ).
fof(f35268,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| k9_waybel_0(sK39) = k8_waybel_0(k7_lattice3(sK39)) ),
inference(forward_subsumption_resolution,[],[f35253,f24361]) ).
fof(f35269,plain,
( ~ v3_orders_2(sK39)
| k9_waybel_0(sK39) = k8_waybel_0(k7_lattice3(sK39)) ),
inference(forward_subsumption_resolution,[],[f35268,f24360]) ).
fof(f35270,plain,
k9_waybel_0(sK39) = k8_waybel_0(k7_lattice3(sK39)),
inference(forward_subsumption_resolution,[],[f35269,f24359]) ).
fof(f35275,plain,
( ~ v3_orders_2(sK39)
| ~ l1_orders_2(sK39)
| spl994_27 ),
inference(resolution,[],[f35260,f25447]) ).
fof(f35277,plain,
( ~ l1_orders_2(sK39)
| spl994_27 ),
inference(forward_subsumption_resolution,[],[f35275,f24359]) ).
fof(f35278,plain,
( $false
| spl994_27 ),
inference(forward_subsumption_resolution,[],[f35277,f24355]) ).
fof(f35279,plain,
spl994_27,
inference(avatar_contradiction_clause,[],[f35278]) ).
fof(f35281,plain,
( ~ v2_orders_2(sK39)
| ~ l1_orders_2(sK39)
| spl994_28 ),
inference(resolution,[],[f35263,f25449]) ).
fof(f35283,plain,
( ~ l1_orders_2(sK39)
| spl994_28 ),
inference(forward_subsumption_resolution,[],[f35281,f24360]) ).
fof(f35284,plain,
( $false
| spl994_28 ),
inference(forward_subsumption_resolution,[],[f35283,f24355]) ).
fof(f35285,plain,
spl994_28,
inference(avatar_contradiction_clause,[],[f35284]) ).
fof(f35314,definition,
( spl994_33
<=> v4_orders_2(k7_lattice3(sK39)) ),
introduced(definition,[new_symbols(definition,[spl994_33])],[avatar_definition]) ).
fof(f35315,plain,
( ~ v4_orders_2(k7_lattice3(sK39))
| spl994_33 ),
inference(avatar_component_clause,[],[f35314]) ).
fof(f35622,plain,
( v1_yellow_0(k7_lattice3(sK39))
| ~ l1_orders_2(sK39) ),
inference(resolution,[],[f25435,f24357]) ).
fof(f35625,plain,
v1_yellow_0(k7_lattice3(sK39)),
inference(forward_subsumption_resolution,[],[f35622,f24355]) ).
fof(f35626,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39)))))
| ~ l1_orders_2(k7_lattice3(sK39)) ),
inference(resolution,[],[f35625,f31898]) ).
fof(f35627,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39)))))
| ~ l1_orders_2(k7_lattice3(sK39)) ),
inference(resolution,[],[f35625,f31895]) ).
fof(f35628,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39)))))
| ~ l1_orders_2(k7_lattice3(sK39)) ),
inference(resolution,[],[f35625,f31897]) ).
fof(f35629,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39)))))
| ~ l1_orders_2(k7_lattice3(sK39)) ),
inference(resolution,[],[f35625,f31896]) ).
fof(f35630,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39))))) ),
inference(forward_subsumption_resolution,[],[f35629,f35233]) ).
fof(f35631,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39))))) ),
inference(forward_subsumption_resolution,[],[f35628,f35233]) ).
fof(f35632,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39))))) ),
inference(forward_subsumption_resolution,[],[f35627,f35233]) ).
fof(f35633,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(k7_lattice3(sK39))))) ),
inference(forward_subsumption_resolution,[],[f35626,f35233]) ).
fof(f35634,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35630,f35224]) ).
fof(f35635,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35631,f35224]) ).
fof(f35636,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35632,f35224]) ).
fof(f35637,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(u1_struct_0(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35633,f35224]) ).
fof(f35638,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35634,f35226]) ).
fof(f35639,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35635,f35226]) ).
fof(f35640,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35636,f35226]) ).
fof(f35641,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK39))),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35637,f35226]) ).
fof(f35642,plain,
( v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35638,f35270]) ).
fof(f35643,plain,
( v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35639,f35270]) ).
fof(f35644,plain,
( v4_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35640,f35270]) ).
fof(f35645,plain,
( m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39)) ),
inference(forward_demodulation,[],[f35641,f35270]) ).
fof(f35647,definition,
( spl994_59
<=> v1_lattice3(k7_lattice3(sK39)) ),
introduced(definition,[new_symbols(definition,[spl994_59])],[avatar_definition]) ).
fof(f35648,plain,
( ~ v1_lattice3(k7_lattice3(sK39))
| spl994_59 ),
inference(avatar_component_clause,[],[f35647]) ).
fof(f35650,definition,
( spl994_60
<=> v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_60])],[avatar_definition]) ).
fof(f35651,plain,
( v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ spl994_60 ),
inference(avatar_component_clause,[],[f35650]) ).
fof(f35652,plain,
( ~ spl994_59
| ~ spl994_33
| ~ spl994_27
| ~ spl994_28
| spl994_60 ),
inference(avatar_split_clause,[],[f35642,f35650,f35262,f35259,f35314,f35647]) ).
fof(f35654,definition,
( spl994_61
<=> v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_61])],[avatar_definition]) ).
fof(f35655,plain,
( v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ spl994_61 ),
inference(avatar_component_clause,[],[f35654]) ).
fof(f35656,plain,
( ~ spl994_59
| ~ spl994_33
| ~ spl994_27
| ~ spl994_28
| spl994_61 ),
inference(avatar_split_clause,[],[f35643,f35654,f35262,f35259,f35314,f35647]) ).
fof(f35657,plain,
( ~ v2_orders_2(k7_lattice3(sK39))
| ~ v3_orders_2(k7_lattice3(sK39))
| ~ v4_orders_2(k7_lattice3(sK39))
| ~ v1_lattice3(k7_lattice3(sK39))
| spl994_19 ),
inference(forward_subsumption_resolution,[],[f35644,f35227]) ).
fof(f35659,definition,
( spl994_62
<=> m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39)))) ),
introduced(definition,[new_symbols(definition,[spl994_62])],[avatar_definition]) ).
fof(f35660,plain,
( m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| ~ spl994_62 ),
inference(avatar_component_clause,[],[f35659]) ).
fof(f35661,plain,
( ~ spl994_59
| ~ spl994_33
| ~ spl994_27
| ~ spl994_28
| spl994_62 ),
inference(avatar_split_clause,[],[f35645,f35659,f35262,f35259,f35314,f35647]) ).
fof(f35662,plain,
( ~ spl994_59
| ~ spl994_33
| ~ spl994_27
| ~ spl994_28
| spl994_19 ),
inference(avatar_split_clause,[],[f35657,f34771,f35262,f35259,f35314,f35647]) ).
fof(f35665,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ l1_orders_2(sK39)
| spl994_33 ),
inference(resolution,[],[f35315,f25458]) ).
fof(f35670,plain,
( ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ l1_orders_2(sK39)
| spl994_33 ),
inference(forward_subsumption_resolution,[],[f35665,f24360]) ).
fof(f35673,plain,
( ~ v4_orders_2(sK39)
| ~ l1_orders_2(sK39)
| spl994_33 ),
inference(forward_subsumption_resolution,[],[f35670,f24359]) ).
fof(f35674,plain,
( ~ l1_orders_2(sK39)
| spl994_33 ),
inference(forward_subsumption_resolution,[],[f35673,f24358]) ).
fof(f35675,plain,
( $false
| spl994_33 ),
inference(forward_subsumption_resolution,[],[f35674,f24355]) ).
fof(f35676,plain,
spl994_33,
inference(avatar_contradiction_clause,[],[f35675]) ).
fof(f35678,plain,
( ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| spl994_59 ),
inference(resolution,[],[f35648,f25442]) ).
fof(f35680,plain,
( ~ l1_orders_2(sK39)
| spl994_59 ),
inference(forward_subsumption_resolution,[],[f35678,f24356]) ).
fof(f35681,plain,
( $false
| spl994_59 ),
inference(forward_subsumption_resolution,[],[f35680,f24355]) ).
fof(f35682,plain,
spl994_59,
inference(avatar_contradiction_clause,[],[f35681]) ).
fof(f35683,plain,
( ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| spl994_16 ),
inference(forward_demodulation,[],[f34763,f35226]) ).
fof(f35688,plain,
( $false
| spl994_16
| ~ spl994_62 ),
inference(forward_subsumption_resolution,[],[f35683,f35660]) ).
fof(f35689,plain,
( spl994_16
| ~ spl994_62 ),
inference(avatar_contradiction_clause,[],[f35688]) ).
fof(f35690,plain,
( ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| spl994_17 ),
inference(forward_demodulation,[],[f34766,f35226]) ).
fof(f35691,plain,
( $false
| spl994_17
| ~ spl994_61 ),
inference(forward_subsumption_resolution,[],[f35690,f35655]) ).
fof(f35692,plain,
( spl994_17
| ~ spl994_61 ),
inference(avatar_contradiction_clause,[],[f35691]) ).
fof(f35693,plain,
( ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(sK39)),k2_yellow_1(k1_zfmisc_1(k2_pre_topc(sK39))))
| spl994_18 ),
inference(forward_demodulation,[],[f34769,f35226]) ).
fof(f35694,plain,
( $false
| spl994_18
| ~ spl994_60 ),
inference(forward_subsumption_resolution,[],[f35693,f35651]) ).
fof(f35695,plain,
( spl994_18
| ~ spl994_60 ),
inference(avatar_contradiction_clause,[],[f35694]) ).
fof(f35697,plain,
( ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(resolution,[],[f34775,f24452]) ).
fof(f35705,plain,
( ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35697,f24360]) ).
fof(f35706,plain,
( ~ v4_orders_2(sK39)
| ~ v2_lattice3(sK39)
| ~ v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35705,f24359]) ).
fof(f35707,plain,
( ~ v2_lattice3(sK39)
| ~ v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35706,f24358]) ).
fof(f35708,plain,
( ~ v2_yellow_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35707,f24356]) ).
fof(f35709,plain,
( ~ l1_orders_2(sK39)
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35708,f24357]) ).
fof(f35710,plain,
( $false
| ~ spl994_20 ),
inference(forward_subsumption_resolution,[],[f35709,f24355]) ).
fof(f35711,plain,
~ spl994_20,
inference(avatar_contradiction_clause,[],[f35710]) ).
cnf(s8,plain,
( ~ spl994_16
| ~ spl994_17
| ~ spl994_18
| ~ spl994_19
| spl994_20 ),
inference(sat_conversion,[],[f34776]) ).
cnf(s19,plain,
spl994_27,
inference(sat_conversion,[],[f35279]) ).
cnf(s21,plain,
spl994_28,
inference(sat_conversion,[],[f35285]) ).
cnf(s43,plain,
( ~ spl994_27
| ~ spl994_28
| ~ spl994_33
| ~ spl994_59
| spl994_60 ),
inference(sat_conversion,[],[f35652]) ).
cnf(s44,plain,
( ~ spl994_27
| ~ spl994_28
| ~ spl994_33
| ~ spl994_59
| spl994_61 ),
inference(sat_conversion,[],[f35656]) ).
cnf(s45,plain,
( ~ spl994_27
| ~ spl994_28
| ~ spl994_33
| ~ spl994_59
| spl994_62 ),
inference(sat_conversion,[],[f35661]) ).
cnf(s46,plain,
( spl994_19
| ~ spl994_27
| ~ spl994_28
| ~ spl994_33
| ~ spl994_59 ),
inference(sat_conversion,[],[f35662]) ).
cnf(s50,plain,
spl994_33,
inference(sat_conversion,[],[f35676]) ).
cnf(s52,plain,
spl994_59,
inference(sat_conversion,[],[f35682]) ).
cnf(s54,plain,
( spl994_16
| ~ spl994_62 ),
inference(sat_conversion,[],[f35689]) ).
cnf(s55,plain,
( spl994_17
| ~ spl994_61 ),
inference(sat_conversion,[],[f35692]) ).
cnf(s56,plain,
( spl994_18
| ~ spl994_60 ),
inference(sat_conversion,[],[f35695]) ).
cnf(s58,plain,
~ spl994_20,
inference(sat_conversion,[],[f35711]) ).
cnf(s59,plain,
( spl994_19
| ~ spl994_27
| ~ spl994_28 ),
inference(rat,[],[s46,s52,s50]) ).
cnf(s60,plain,
( ~ spl994_27
| ~ spl994_28
| spl994_62 ),
inference(rat,[],[s45,s52,s50]) ).
cnf(s61,plain,
( ~ spl994_27
| ~ spl994_28
| spl994_61 ),
inference(rat,[],[s44,s52,s50]) ).
cnf(s62,plain,
( ~ spl994_27
| ~ spl994_28
| spl994_60 ),
inference(rat,[],[s43,s52,s50]) ).
cnf(s71,plain,
spl994_19,
inference(rat,[],[s59,s21,s19]) ).
cnf(s72,plain,
spl994_62,
inference(rat,[],[s60,s21,s19]) ).
cnf(s73,plain,
spl994_61,
inference(rat,[],[s61,s21,s19]) ).
cnf(s74,plain,
spl994_60,
inference(rat,[],[s62,s21,s19]) ).
cnf(s76,plain,
spl994_16,
inference(rat,[],[s54,s72]) ).
cnf(s77,plain,
spl994_17,
inference(rat,[],[s55,s73]) ).
cnf(s78,plain,
spl994_18,
inference(rat,[],[s56,s74]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s8,s58,s71,s78,s77,s76]) ).
fof(f35712,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT348+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 14:53:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 27.71/6.55 % (901102)Detected formulas, will run a generic FOF schedule.
% 27.71/6.55 % (901140)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3332143879:i=119:av=off:ss=axioms_2980 on theBenchmark for (2980ds/119Mi)
% 27.71/6.55 % (901136)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=3142541486:i=141193_2980 on theBenchmark for (2980ds/141193Mi)
% 27.71/6.55 % (901137)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=3568947:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2980 on theBenchmark for (2980ds/134677Mi)
% 27.71/6.55 % (901138)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=586852993:i=141695:sd=1:nm=32:gsp=on:ss=included_2980 on theBenchmark for (2980ds/141695Mi)
% 27.71/6.55 % (901139)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2595049317:i=109:sd=1:ins=1:gsp=on:ss=axioms_2980 on theBenchmark for (2980ds/109Mi)
% 27.71/6.55 % (901142)dis-21_1_sil=8000:lcm=predicate:random_seed=4221970819:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2980 on theBenchmark for (2980ds/129Mi)
% 27.71/6.55 % (901141)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2041459491:s2a=on:i=139:gtg=position_2980 on theBenchmark for (2980ds/139Mi)
% 27.71/6.55 % (901140)Instruction limit reached!
% 27.71/6.55 % (901140)------------------------------
% 27.71/6.55 % (901140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.71/6.55 % (901140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/6.55 % (901140)CaDiCaL version: 2.1.3
% 27.71/6.55 % (901140)Termination reason: Instruction limit
% 27.71/6.55 % (901140)Termination phase: Preprocessing 2
% 27.71/6.55 % (901140)Time elapsed: 0.100 s
% 27.71/6.55 % (901140)Peak memory usage: 112 MB
% 27.71/6.55 % (901140)Instructions burned: 120 (million)
% 27.71/6.55 % (901141)Instruction limit reached!
% 27.71/6.55 % (901141)------------------------------
% 27.71/6.55 % (901141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.71/6.55 % (901141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/6.55 % (901141)CaDiCaL version: 2.1.3
% 27.71/6.55 % (901141)Termination reason: Instruction limit
% 27.71/6.55 % (901141)Termination phase: Property scanning
% 27.71/6.55 % (901141)Time elapsed: 0.115 s
% 27.71/6.55 % (901141)Peak memory usage: 109 MB
% 27.71/6.55 % (901141)Instructions burned: 139 (million)
% 27.71/6.55 % (901139)Instruction limit reached!
% 27.71/6.55 % (901139)------------------------------
% 27.71/6.55 % (901139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.71/6.55 % (901139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/6.55 % (901139)CaDiCaL version: 2.1.3
% 27.71/6.55 % (901139)Termination reason: Instruction limit
% 27.71/6.55 % (901139)Termination phase: Property scanning
% 27.71/6.55 % (901139)Time elapsed: 0.149 s
% 27.71/6.55 % (901139)Peak memory usage: 112 MB
% 27.71/6.55 % (901139)Instructions burned: 109 (million)
% 27.71/6.55 % (901142)Instruction limit reached!
% 27.71/6.55 % (901142)------------------------------
% 27.71/6.55 % (901142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.71/6.55 % (901142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/6.55 % (901142)CaDiCaL version: 2.1.3
% 27.71/6.55 % (901142)Termination reason: Instruction limit
% 27.71/6.55 % (901142)Termination phase: SInE selection
% 27.71/6.55 % (901142)Time elapsed: 0.138 s
% 27.71/6.55 % (901142)Peak memory usage: 110 MB
% 27.71/6.55 % (901142)Instructions burned: 129 (million)
% 27.71/6.55 % (901150)lrs+10_1_sil=8000:sp=occurrence:random_seed=1066117303:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 27.71/6.55 % (901151)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4018030572:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 27.71/6.55 % (901152)lrs+1011_1_sil=32000:sp=occurrence:random_seed=7381646:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 27.71/6.55 % (901153)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=3107922107:s2a=on:i=248:s2at=1.23:gtg=position_2976 on theBenchmark for (2976ds/248Mi)
% 27.71/6.55 % (901150)Instruction limit reached!
% 27.71/6.55 % (901150)------------------------------
% 39.57/8.18 % (901150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901150)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901150)Termination reason: Instruction limit
% 39.57/8.18 % (901150)Termination phase: Saturation
% 39.57/8.18 % (901150)Time elapsed: 0.180 s
% 39.57/8.18 % (901150)Peak memory usage: 117 MB
% 39.57/8.18 % (901150)Instructions burned: 287 (million)
% 39.57/8.18 % (901151)Instruction limit reached!
% 39.57/8.18 % (901151)------------------------------
% 39.57/8.18 % (901151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901151)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901151)Termination reason: Instruction limit
% 39.57/8.18 % (901151)Termination phase: Property scanning
% 39.57/8.18 % (901151)Time elapsed: 0.131 s
% 39.57/8.18 % (901151)Peak memory usage: 109 MB
% 39.57/8.18 % (901151)Instructions burned: 158 (million)
% 39.57/8.18 % (901153)Instruction limit reached!
% 39.57/8.18 % (901153)------------------------------
% 39.57/8.18 % (901153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901153)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901153)Termination reason: Instruction limit
% 39.57/8.18 % (901153)Termination phase: Property scanning
% 39.57/8.18 % (901153)Time elapsed: 0.207 s
% 39.57/8.18 % (901153)Peak memory usage: 109 MB
% 39.57/8.18 % (901153)Instructions burned: 248 (million)
% 39.57/8.18 % (901152)Instruction limit reached!
% 39.57/8.18 % (901152)------------------------------
% 39.57/8.18 % (901152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901152)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901152)Termination reason: Instruction limit
% 39.57/8.18 % (901152)Termination phase: Saturation
% 39.57/8.18 % (901152)Time elapsed: 0.304 s
% 39.57/8.18 % (901152)Peak memory usage: 115 MB
% 39.57/8.18 % (901152)Instructions burned: 325 (million)
% 39.57/8.18 % (901158)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3565844021:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2972 on theBenchmark for (2972ds/294Mi)
% 39.57/8.18 % (901159)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3003680481:i=2350_2971 on theBenchmark for (2971ds/2350Mi)
% 39.57/8.18 % (901158)Instruction limit reached!
% 39.57/8.18 % (901158)------------------------------
% 39.57/8.18 % (901158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901158)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901158)Termination reason: Instruction limit
% 39.57/8.18 % (901158)Termination phase: Property scanning
% 39.57/8.18 % (901158)Time elapsed: 0.201 s
% 39.57/8.18 % (901158)Peak memory usage: 118 MB
% 39.57/8.18 % (901158)Instructions burned: 296 (million)
% 39.57/8.18 % (901160)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1687120989:cts=off:i=113:fsr=off:ss=included:sgt=4_2970 on theBenchmark for (2970ds/113Mi)
% 39.57/8.18 % (901161)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3565402054:i=127:av=off:fsr=off:sup=off_2970 on theBenchmark for (2970ds/127Mi)
% 39.57/8.18 % (901160)Instruction limit reached!
% 39.57/8.18 % (901160)------------------------------
% 39.57/8.18 % (901160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901160)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901160)Termination reason: Instruction limit
% 39.57/8.18 % (901160)Termination phase: Preprocessing 1
% 39.57/8.18 % (901160)Time elapsed: 0.149 s
% 39.57/8.18 % (901160)Peak memory usage: 110 MB
% 39.57/8.18 % (901160)Instructions burned: 113 (million)
% 39.57/8.18 % (901161)Instruction limit reached!
% 39.57/8.18 % (901161)------------------------------
% 39.57/8.18 % (901161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/8.18 % (901161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/8.18 % (901161)CaDiCaL version: 2.1.3
% 39.57/8.18 % (901161)Termination reason: Instruction limit
% 39.57/8.18 % (901161)Termination phase: Preprocessing 1
% 39.57/8.18 % (901161)Time elapsed: 0.149 s
% 39.59/9.11 % (901161)Peak memory usage: 110 MB
% 39.59/9.11 % (901161)Instructions burned: 127 (million)
% 39.59/9.11 % (901164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4039695123:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2967 on theBenchmark for (2967ds/114Mi)
% 39.59/9.11 % (901164)Instruction limit reached!
% 39.59/9.11 % (901164)------------------------------
% 39.59/9.11 % (901164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901164)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901164)Termination reason: Instruction limit
% 39.59/9.11 % (901164)Termination phase: Property scanning
% 39.59/9.11 % (901164)Time elapsed: 0.053 s
% 39.59/9.11 % (901164)Peak memory usage: 109 MB
% 39.59/9.11 % (901164)Instructions burned: 115 (million)
% 39.59/9.11 % (901167)lrs+10_1_sil=8000:sp=occurrence:random_seed=1928022127:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2966 on theBenchmark for (2966ds/907Mi)
% 39.59/9.11 % (901169)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1392986387:i=437:sd=1:aac=none:ss=included_2965 on theBenchmark for (2965ds/437Mi)
% 39.59/9.11 % (901170)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1704136005:i=5202:ss=axioms:sgt=16_2964 on theBenchmark for (2964ds/5202Mi)
% 39.59/9.11 % (901169)Instruction limit reached!
% 39.59/9.11 % (901169)------------------------------
% 39.59/9.11 % (901169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901169)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901169)Termination reason: Instruction limit
% 39.59/9.11 % (901169)Termination phase: Saturation
% 39.59/9.11 % (901169)Time elapsed: 0.477 s
% 39.59/9.11 % (901169)Peak memory usage: 116 MB
% 39.59/9.11 % (901169)Instructions burned: 438 (million)
% 39.59/9.11 % (901174)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=50887345:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2957 on theBenchmark for (2957ds/134Mi)
% 39.59/9.11 % (901167)Instruction limit reached!
% 39.59/9.11 % (901167)------------------------------
% 39.59/9.11 % (901167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901167)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901167)Termination reason: Instruction limit
% 39.59/9.11 % (901167)Termination phase: Saturation
% 39.59/9.11 % (901167)Time elapsed: 0.875 s
% 39.59/9.11 % (901167)Peak memory usage: 128 MB
% 39.59/9.11 % (901167)Instructions burned: 908 (million)
% 39.59/9.11 % (901174)Instruction limit reached!
% 39.59/9.11 % (901174)------------------------------
% 39.59/9.11 % (901174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901174)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901174)Termination reason: Instruction limit
% 39.59/9.11 % (901174)Termination phase: NewCNF
% 39.59/9.11 % (901174)Time elapsed: 0.172 s
% 39.59/9.11 % (901174)Peak memory usage: 113 MB
% 39.59/9.11 % (901174)Instructions burned: 134 (million)
% 39.59/9.11 % (901176)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2636810262:st=8:i=592:sd=3:ep=RST:ss=axioms_2954 on theBenchmark for (2954ds/592Mi)
% 39.59/9.11 % (901177)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=526221096:st=3:i=13193:sd=3:ss=axioms_2953 on theBenchmark for (2953ds/13193Mi)
% 39.59/9.11 % (901159)Instruction limit reached!
% 39.59/9.11 % (901159)------------------------------
% 39.59/9.11 % (901159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901159)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901159)Termination reason: Instruction limit
% 39.59/9.11 % (901159)Termination phase: Saturation
% 39.59/9.11 % (901159)Time elapsed: 2.265 s
% 39.59/9.11 % (901159)Peak memory usage: 175 MB
% 39.59/9.11 % (901159)Instructions burned: 2350 (million)
% 39.59/9.11 % (901176)Instruction limit reached!
% 39.59/9.11 % (901176)------------------------------
% 39.59/9.11 % (901176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901176)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901176)Termination reason: Instruction limit
% 39.59/9.11 % (901176)Termination phase: Preprocessing 3
% 39.59/9.11 % (901176)Time elapsed: 0.677 s
% 39.59/9.11 % (901176)Peak memory usage: 132 MB
% 39.59/9.11 % (901176)Instructions burned: 593 (million)
% 39.59/9.11 % (901180)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=3543293348:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2946 on theBenchmark for (2946ds/125Mi)
% 39.59/9.11 % (901180)Instruction limit reached!
% 39.59/9.11 % (901180)------------------------------
% 39.59/9.11 % (901180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901180)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901180)Termination reason: Instruction limit
% 39.59/9.11 % (901180)Termination phase: Property scanning
% 39.59/9.11 % (901180)Time elapsed: 0.106 s
% 39.59/9.11 % (901180)Peak memory usage: 109 MB
% 39.59/9.11 % (901180)Instructions burned: 125 (million)
% 39.59/9.11 % (901181)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3708612511:i=134:gtgl=5:slsql=off:gtg=exists_sym_2944 on theBenchmark for (2944ds/134Mi)
% 39.59/9.11 % (901181)Instruction limit reached!
% 39.59/9.11 % (901181)------------------------------
% 39.59/9.11 % (901181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901181)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901181)Termination reason: Instruction limit
% 39.59/9.11 % (901181)Termination phase: Property scanning
% 39.59/9.11 % (901181)Time elapsed: 0.113 s
% 39.59/9.11 % (901181)Peak memory usage: 109 MB
% 39.59/9.11 % (901181)Instructions burned: 135 (million)
% 39.59/9.11 % (901183)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=846989001:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/141Mi)
% 39.59/9.11 % (901183)Instruction limit reached!
% 39.59/9.11 % (901183)------------------------------
% 39.59/9.11 % (901183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901183)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901183)Termination reason: Instruction limit
% 39.59/9.11 % (901183)Termination phase: Saturation
% 39.59/9.11 % (901183)Time elapsed: 0.172 s
% 39.59/9.11 % (901183)Peak memory usage: 115 MB
% 39.59/9.11 % (901183)Instructions burned: 142 (million)
% 39.59/9.11 % (901185)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3219604136:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2940 on theBenchmark for (2940ds/431Mi)
% 39.59/9.11 % (901187)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=2967270011:i=6060:aac=none:ins=25_2937 on theBenchmark for (2937ds/6060Mi)
% 39.59/9.11 % (901185)Instruction limit reached!
% 39.59/9.11 % (901185)------------------------------
% 39.59/9.11 % (901185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901185)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901185)Termination reason: Instruction limit
% 39.59/9.11 % (901185)Termination phase: Saturation
% 39.59/9.11 % (901185)Time elapsed: 0.497 s
% 39.59/9.11 % (901185)Peak memory usage: 118 MB
% 39.59/9.11 % (901185)Instructions burned: 432 (million)
% 39.59/9.11 % (901170)Instruction limit reached!
% 39.59/9.11 % (901170)------------------------------
% 39.59/9.11 % (901170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901170)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901170)Termination reason: Instruction limit
% 39.59/9.11 % (901170)Termination phase: Saturation
% 39.59/9.11 % (901170)Time elapsed: 3.123 s
% 39.59/9.11 % (901170)Peak memory usage: 199 MB
% 39.59/9.11 % (901170)Instructions burned: 5204 (million)
% 39.59/9.11 % (901190)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=1794877196:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2931 on theBenchmark for (2931ds/150Mi)
% 39.59/9.11 % (901191)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=548209882:i=14155:bd=all_2931 on theBenchmark for (2931ds/14155Mi)
% 39.59/9.11 % (901190)Instruction limit reached!
% 39.59/9.11 % (901190)------------------------------
% 39.59/9.11 % (901190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901190)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901190)Termination reason: Instruction limit
% 39.59/9.11 % (901190)Termination phase: Preprocessing 1
% 39.59/9.11 % (901190)Time elapsed: 0.109 s
% 39.59/9.11 % (901190)Peak memory usage: 111 MB
% 39.59/9.11 % (901190)Instructions burned: 151 (million)
% 39.59/9.11 % (901137)First to succeed.
% 39.59/9.11 % (901137)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-901102"
% 39.59/9.11 % (901194)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4102410704:i=667:av=off:fsr=off_2927 on theBenchmark for (2927ds/667Mi)
% 39.59/9.11 % (901194)Instruction limit reached!
% 39.59/9.11 % (901194)------------------------------
% 39.59/9.11 % (901194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.59/9.11 % (901194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.59/9.11 % (901194)CaDiCaL version: 2.1.3
% 39.59/9.11 % (901194)Termination reason: Instruction limit
% 39.59/9.11 % (901194)Termination phase: NewCNF
% 39.59/9.11 % (901194)Time elapsed: 0.437 s
% 39.59/9.11 % (901194)Peak memory usage: 144 MB
% 39.59/9.11 % (901194)Instructions burned: 669 (million)
% 39.59/9.11 % (901137)Refutation found. Thanks to Tanya!
% 39.59/9.11 % SZS status Theorem for theBenchmark
% 39.59/9.11 % SZS output start Proof for theBenchmark
% See solution above
% 46.06/9.34 % (901137)------------------------------
% 46.06/9.34 % (901137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.06/9.34 % (901137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.06/9.34 % (901137)CaDiCaL version: 2.1.3
% 46.06/9.34 % (901137)Termination reason: Refutation
% 46.06/9.34 % (901137)Time elapsed: 5.322 s
% 46.06/9.34 % (901137)Peak memory usage: 257 MB
% 46.06/9.34 % (901137)Instructions burned: 5202 (million)
% 46.06/9.34 % (901137)------------------------------
% 46.06/9.34 % (901137)------------------------------
% 46.06/9.34 % (901102)Success in time 8.112 s
% 46.06/9.34 % Vampire exiting
%------------------------------------------------------------------------------