%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT347+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 : n017.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 11:47:09 AM UTC 2026
% Result : Theorem 4.69s 1.36s
% Output : Refutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 13 unt; 0 def)
% Number of atoms : 352 ( 19 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 481 ( 201 ~; 189 |; 76 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f48,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/sandbox/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f55,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/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f57,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f62,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/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f106,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/sandbox/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f108,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) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_waybel13) ).
fof(f109,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_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,[],[f2]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_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,[],[f109]) ).
fof(f118,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_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,[],[f108]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_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,[],[f120]) ).
fof(f140,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,[],[f48]) ).
fof(f141,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,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,[],[f106]) ).
fof(f143,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,[],[f142]) ).
fof(f172,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,[],[f62]) ).
fof(f173,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,[],[f172]) ).
fof(f176,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f177,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f176]) ).
fof(f178,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,[],[f55]) ).
fof(f179,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f178]) ).
fof(f180,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,[],[f53]) ).
fof(f181,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f187,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3)
& ~ v1_xboole_0(sK3)
& v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v2_yellow_0(sK2)
& v2_lattice3(sK2)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f110]) ).
fof(f200,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f201,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f202,plain,
v2_yellow_0(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f203,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f204,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f205,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f206,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),
inference(cnf_transformation,[],[f187]) ).
fof(f207,plain,
v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2))),
inference(cnf_transformation,[],[f187]) ).
fof(f208,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f187]) ).
fof(f209,plain,
k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3),
inference(cnf_transformation,[],[f187]) ).
fof(f231,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f232,plain,
! [X0,X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_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,[],[f121]) ).
fof(f307,plain,
! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f309,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(cnf_transformation,[],[f143]) ).
fof(f356,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f363,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f365,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f367,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f369,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f445,plain,
! [X0,X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v1_lattice3(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(superposition,[],[f232,f309]) ).
fof(f448,plain,
! [X0,X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v1_lattice3(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f445,f367]) ).
fof(f449,plain,
! [X0,X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v1_lattice3(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f448,f365]) ).
fof(f450,plain,
! [X0,X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v1_lattice3(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f449,f369]) ).
fof(f463,plain,
( k3_tarski(sK3) != k3_tarski(sK3)
| v1_xboole_0(sK3)
| ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(superposition,[],[f209,f450]) ).
fof(f465,plain,
( v1_xboole_0(sK3)
| ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(trivial_inequality_removal,[],[f463]) ).
fof(f467,plain,
( ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f465,f208]) ).
fof(f468,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f467,f207]) ).
fof(f469,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f468,f206]) ).
fof(f470,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f469,f205]) ).
fof(f471,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f470,f204]) ).
fof(f472,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f471,f200]) ).
fof(f474,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) ),
inference(resolution,[],[f472,f356]) ).
fof(f482,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f474,f231]) ).
fof(f485,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f482,f201]) ).
fof(f487,plain,
( ~ v1_yellow_0(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2)) ),
inference(forward_subsumption_resolution,[],[f485,f200]) ).
fof(f490,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ v2_yellow_0(sK2)
| ~ l1_orders_2(sK2) ),
inference(resolution,[],[f487,f307]) ).
fof(f495,plain,
( ~ v4_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2) ),
inference(forward_subsumption_resolution,[],[f490,f202]) ).
fof(f497,plain,
~ v4_orders_2(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f495,f200]) ).
fof(f503,plain,
( ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) ),
inference(resolution,[],[f497,f363]) ).
fof(f505,plain,
~ l1_orders_2(sK2),
inference(forward_subsumption_resolution,[],[f503,f203]) ).
fof(f506,plain,
$false,
inference(forward_subsumption_resolution,[],[f505,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 14:48:05 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.69/1.36 % (2649494)Detected formulas, will run a generic FOF schedule.
% 4.69/1.36 % (2649505)dis-21_1_sil=8000:lcm=predicate:random_seed=1762942640: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)
% 4.69/1.36 % (2649502)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=68120193:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.69/1.36 % (2649500)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=2907877568:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.69/1.36 % (2649502)Refutation not found, incomplete strategy
% 4.69/1.36 % (2649502)------------------------------
% 4.69/1.36 % (2649502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.36 % (2649502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.36 % (2649502)CaDiCaL version: 2.1.3
% 4.69/1.36 % (2649502)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.36 % (2649502)Time elapsed: 0.004 s
% 4.69/1.36 % (2649502)Peak memory usage: 88 MB
% 4.69/1.36 % (2649502)Instructions burned: 2 (million)
% 4.69/1.36 % (2649499)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=158548922:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.69/1.36 % (2649503)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2405080436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.69/1.36 % (2649501)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=1227434349:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.69/1.36 % (2649505)Instruction limit reached!
% 4.69/1.36 % (2649505)------------------------------
% 4.69/1.36 % (2649505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.36 % (2649505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.36 % (2649505)CaDiCaL version: 2.1.3
% 4.69/1.36 % (2649505)Termination reason: Instruction limit
% 4.69/1.36 % (2649505)Termination phase: Saturation
% 4.69/1.36 % (2649505)Time elapsed: 0.093 s
% 4.69/1.36 % (2649505)Peak memory usage: 92 MB
% 4.69/1.36 % (2649505)Instructions burned: 129 (million)
% 4.69/1.36 % (2649503)First to succeed.
% 4.69/1.36 % (2649503)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2649494"
% 4.69/1.36 % (2649504)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3187639929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.69/1.36 % (2649504)Also succeeded, but the first one will report.
% 4.69/1.36 % (2649512)lrs+10_1_sil=8000:sp=occurrence:random_seed=3433058647:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.69/1.36 % (2649500)Also succeeded, but the first one will report.
% 4.69/1.36 % (2649502)------------------------------
% 4.69/1.36 % (2649502)------------------------------
% 4.69/1.36 % (2649512)Also succeeded, but the first one will report.
% 4.69/1.36 % (2649503)Refutation found. Thanks to Tanya!
% 4.69/1.36 % SZS status Theorem for theBenchmark
% 4.69/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 5.33/1.53 % (2649503)------------------------------
% 5.33/1.53 % (2649503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.53 % (2649503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.53 % (2649503)CaDiCaL version: 2.1.3
% 5.33/1.53 % (2649503)Termination reason: Refutation
% 5.33/1.53 % (2649503)Time elapsed: 0.016 s
% 5.33/1.53 % (2649503)Peak memory usage: 88 MB
% 5.33/1.53 % (2649503)Instructions burned: 14 (million)
% 5.33/1.53 % (2649503)------------------------------
% 5.33/1.53 % (2649503)------------------------------
% 5.33/1.53 % (2649494)Success in time 0.709 s
% 5.33/1.53 % Vampire exiting
%------------------------------------------------------------------------------