%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT362+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:21 AM UTC 2026
% Result : Theorem 5.79s 2.76s
% Output : Refutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 135 ( 23 unt; 9 def)
% Number of atoms : 620 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 720 ( 235 ~; 217 |; 226 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 10 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 74 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f14630,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d41_functor0) ).
fof(f18896,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f18897,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f18898,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f18930,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f18931,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f18939,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f18943,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_waybel34) ).
fof(f18944,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f18943]) ).
fof(f18951,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18930]) ).
fof(f18952,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18931]) ).
fof(f18953,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18951]) ).
fof(f18954,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18952]) ).
fof(f18960,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18953]) ).
fof(f18961,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18954]) ).
fof(f18962,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18961]) ).
fof(f18963,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18960]) ).
fof(f18964,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18962]) ).
fof(f18965,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18963]) ).
fof(f18967,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18939]) ).
fof(f18969,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18967]) ).
fof(f18970,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18969]) ).
fof(f18972,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18970]) ).
fof(f18975,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18972]) ).
fof(f18980,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18964]) ).
fof(f18981,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18965]) ).
fof(f18982,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18981]) ).
fof(f18983,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f18980]) ).
fof(f18986,plain,
? [X0] :
( ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18944]) ).
fof(f18992,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f18999,plain,
! [X0] :
( ! [X1] :
( ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f14630]) ).
fof(f19000,plain,
! [X0] :
( ! [X1] :
( ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f18999]) ).
fof(f19004,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18975]) ).
fof(f19013,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18982]) ).
fof(f19020,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18898]) ).
fof(f19021,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f18896]) ).
fof(f19025,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f18983]) ).
fof(f19031,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f18897]) ).
fof(f19066,plain,
( ~ r2_functor0(k4_waybel34(sK28),k5_waybel34(sK28))
& ~ v2_setfam_1(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f18986]) ).
fof(f19131,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(nnf_transformation,[],[f19000]) ).
fof(f19132,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ? [X3] :
( m2_functor0(X3,X0,X1)
& v21_functor0(X3,X0,X1)
& v16_functor0(X3,X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(rectify,[],[f19131]) ).
fof(f19133,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ( m2_functor0(sK66(X0,X1),X0,X1)
& v21_functor0(sK66(X0,X1),X0,X1)
& v16_functor0(sK66(X0,X1),X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(X3,sK66(X0,X1))],[f19132]) ).
fof(f19188,plain,
~ v2_setfam_1(sK28),
inference(cnf_transformation,[],[f19066]) ).
fof(f19189,plain,
~ r2_functor0(k4_waybel34(sK28),k5_waybel34(sK28)),
inference(cnf_transformation,[],[f19066]) ).
fof(f19200,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f18992]) ).
fof(f19338,plain,
! [X2,X0,X1] :
( r2_functor0(X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f19133]) ).
fof(f19346,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19004]) ).
fof(f19380,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19013]) ).
fof(f19383,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19013]) ).
fof(f19384,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19013]) ).
fof(f19427,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19020]) ).
fof(f19428,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19020]) ).
fof(f19430,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19021]) ).
fof(f19447,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19025]) ).
fof(f19450,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19025]) ).
fof(f19451,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19025]) ).
fof(f19491,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19031]) ).
fof(f19960,definition,
( spl83_85
<=> l2_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_85])],[avatar_definition]) ).
fof(f19961,plain,
( l2_altcat_1(k4_waybel34(sK28))
| ~ spl83_85 ),
inference(avatar_component_clause,[],[f19960]) ).
fof(f19962,plain,
( ~ l2_altcat_1(k4_waybel34(sK28))
| spl83_85 ),
inference(avatar_component_clause,[],[f19960]) ).
fof(f19964,definition,
( spl83_86
<=> v12_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_86])],[avatar_definition]) ).
fof(f19965,plain,
( v12_altcat_1(k4_waybel34(sK28))
| ~ spl83_86 ),
inference(avatar_component_clause,[],[f19964]) ).
fof(f19966,plain,
( ~ v12_altcat_1(k4_waybel34(sK28))
| spl83_86 ),
inference(avatar_component_clause,[],[f19964]) ).
fof(f19968,definition,
( spl83_87
<=> v2_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_87])],[avatar_definition]) ).
fof(f19969,plain,
( v2_altcat_1(k4_waybel34(sK28))
| ~ spl83_87 ),
inference(avatar_component_clause,[],[f19968]) ).
fof(f19970,plain,
( ~ v2_altcat_1(k4_waybel34(sK28))
| spl83_87 ),
inference(avatar_component_clause,[],[f19968]) ).
fof(f19972,definition,
( spl83_88
<=> v3_struct_0(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_88])],[avatar_definition]) ).
fof(f19974,plain,
( v3_struct_0(k4_waybel34(sK28))
| ~ spl83_88 ),
inference(avatar_component_clause,[],[f19972]) ).
fof(f19976,definition,
( spl83_89
<=> l2_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_89])],[avatar_definition]) ).
fof(f19977,plain,
( l2_altcat_1(k5_waybel34(sK28))
| ~ spl83_89 ),
inference(avatar_component_clause,[],[f19976]) ).
fof(f19978,plain,
( ~ l2_altcat_1(k5_waybel34(sK28))
| spl83_89 ),
inference(avatar_component_clause,[],[f19976]) ).
fof(f19980,definition,
( spl83_90
<=> v12_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_90])],[avatar_definition]) ).
fof(f19981,plain,
( v12_altcat_1(k5_waybel34(sK28))
| ~ spl83_90 ),
inference(avatar_component_clause,[],[f19980]) ).
fof(f19982,plain,
( ~ v12_altcat_1(k5_waybel34(sK28))
| spl83_90 ),
inference(avatar_component_clause,[],[f19980]) ).
fof(f19984,definition,
( spl83_91
<=> v2_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_91])],[avatar_definition]) ).
fof(f19985,plain,
( v2_altcat_1(k5_waybel34(sK28))
| ~ spl83_91 ),
inference(avatar_component_clause,[],[f19984]) ).
fof(f19986,plain,
( ~ v2_altcat_1(k5_waybel34(sK28))
| spl83_91 ),
inference(avatar_component_clause,[],[f19984]) ).
fof(f19988,definition,
( spl83_92
<=> v3_struct_0(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl83_92])],[avatar_definition]) ).
fof(f19990,plain,
( v3_struct_0(k5_waybel34(sK28))
| ~ spl83_92 ),
inference(avatar_component_clause,[],[f19988]) ).
fof(f19996,plain,
( v1_xboole_0(sK28)
| spl83_85 ),
inference(resolution,[],[f19962,f19430]) ).
fof(f19997,plain,
( v2_setfam_1(sK28)
| spl83_85 ),
inference(resolution,[],[f19996,f19200]) ).
fof(f19998,plain,
( $false
| spl83_85 ),
inference(forward_subsumption_resolution,[],[f19997,f19188]) ).
fof(f19999,plain,
spl83_85,
inference(avatar_contradiction_clause,[],[f19998]) ).
fof(f20001,plain,
( v2_setfam_1(sK28)
| spl83_86 ),
inference(resolution,[],[f19966,f19380]) ).
fof(f20002,plain,
( $false
| spl83_86 ),
inference(forward_subsumption_resolution,[],[f20001,f19188]) ).
fof(f20003,plain,
spl83_86,
inference(avatar_contradiction_clause,[],[f20002]) ).
fof(f20009,plain,
( v2_setfam_1(sK28)
| spl83_87 ),
inference(resolution,[],[f19970,f19383]) ).
fof(f20010,plain,
( $false
| spl83_87 ),
inference(forward_subsumption_resolution,[],[f20009,f19188]) ).
fof(f20011,plain,
spl83_87,
inference(avatar_contradiction_clause,[],[f20010]) ).
fof(f20027,plain,
( v1_xboole_0(sK28)
| spl83_89 ),
inference(resolution,[],[f19978,f19491]) ).
fof(f20037,plain,
( v2_setfam_1(sK28)
| spl83_89 ),
inference(resolution,[],[f20027,f19200]) ).
fof(f20038,plain,
( $false
| spl83_89 ),
inference(forward_subsumption_resolution,[],[f20037,f19188]) ).
fof(f20039,plain,
spl83_89,
inference(avatar_contradiction_clause,[],[f20038]) ).
fof(f20041,plain,
( v2_setfam_1(sK28)
| spl83_90 ),
inference(resolution,[],[f19982,f19447]) ).
fof(f20042,plain,
( $false
| spl83_90 ),
inference(forward_subsumption_resolution,[],[f20041,f19188]) ).
fof(f20043,plain,
spl83_90,
inference(avatar_contradiction_clause,[],[f20042]) ).
fof(f20045,plain,
( v2_setfam_1(sK28)
| spl83_91 ),
inference(resolution,[],[f19986,f19450]) ).
fof(f20046,plain,
( $false
| spl83_91 ),
inference(forward_subsumption_resolution,[],[f20045,f19188]) ).
fof(f20047,plain,
spl83_91,
inference(avatar_contradiction_clause,[],[f20046]) ).
fof(f20134,plain,
! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| ~ v2_altcat_1(k5_waybel34(sK28))
| ~ v12_altcat_1(k5_waybel34(sK28))
| ~ l2_altcat_1(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ v2_altcat_1(k4_waybel34(sK28))
| ~ v12_altcat_1(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) ),
inference(resolution,[],[f19338,f19189]) ).
fof(f20137,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| ~ v12_altcat_1(k5_waybel34(sK28))
| ~ l2_altcat_1(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ v2_altcat_1(k4_waybel34(sK28))
| ~ v12_altcat_1(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) )
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20134,f19985]) ).
fof(f20139,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| ~ l2_altcat_1(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ v2_altcat_1(k4_waybel34(sK28))
| ~ v12_altcat_1(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) )
| ~ spl83_90
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20137,f19981]) ).
fof(f20141,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ v2_altcat_1(k4_waybel34(sK28))
| ~ v12_altcat_1(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) )
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20139,f19977]) ).
fof(f20143,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ v12_altcat_1(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) )
| ~ spl83_87
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20141,f19969]) ).
fof(f20145,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28))
| ~ l2_altcat_1(k4_waybel34(sK28)) )
| ~ spl83_86
| ~ spl83_87
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20143,f19965]) ).
fof(f20147,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| v3_struct_0(k5_waybel34(sK28))
| v3_struct_0(k4_waybel34(sK28)) )
| ~ spl83_85
| ~ spl83_86
| ~ spl83_87
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(forward_subsumption_resolution,[],[f20145,f19961]) ).
fof(f20153,definition,
( spl83_113
<=> ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28)) ) ),
introduced(definition,[new_symbols(definition,[spl83_113])],[avatar_definition]) ).
fof(f20154,plain,
( ! [X0] :
( ~ v21_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ v16_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28))
| ~ m2_functor0(X0,k4_waybel34(sK28),k5_waybel34(sK28)) )
| ~ spl83_113 ),
inference(avatar_component_clause,[],[f20153]) ).
fof(f20155,plain,
( spl83_88
| spl83_92
| spl83_113
| ~ spl83_85
| ~ spl83_86
| ~ spl83_87
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(avatar_split_clause,[],[f20147,f19984,f19980,f19976,f19968,f19964,f19960,f20153,f19988,f19972]) ).
fof(f20157,plain,
( v2_setfam_1(sK28)
| ~ spl83_88 ),
inference(resolution,[],[f19974,f19384]) ).
fof(f20158,plain,
( $false
| ~ spl83_88 ),
inference(forward_subsumption_resolution,[],[f20157,f19188]) ).
fof(f20159,plain,
~ spl83_88,
inference(avatar_contradiction_clause,[],[f20158]) ).
fof(f20161,plain,
( v2_setfam_1(sK28)
| ~ spl83_92 ),
inference(resolution,[],[f19990,f19451]) ).
fof(f20162,plain,
( $false
| ~ spl83_92 ),
inference(forward_subsumption_resolution,[],[f20161,f19188]) ).
fof(f20163,plain,
~ spl83_92,
inference(avatar_contradiction_clause,[],[f20162]) ).
fof(f20166,plain,
( ~ v16_functor0(k6_waybel34(sK28),k4_waybel34(sK28),k5_waybel34(sK28))
| ~ m2_functor0(k6_waybel34(sK28),k4_waybel34(sK28),k5_waybel34(sK28))
| v2_setfam_1(sK28)
| ~ spl83_113 ),
inference(resolution,[],[f20154,f19346]) ).
fof(f20168,plain,
( ~ m2_functor0(k6_waybel34(sK28),k4_waybel34(sK28),k5_waybel34(sK28))
| v2_setfam_1(sK28)
| ~ spl83_113 ),
inference(forward_subsumption_resolution,[],[f20166,f19428]) ).
fof(f20169,plain,
( v2_setfam_1(sK28)
| ~ spl83_113 ),
inference(forward_subsumption_resolution,[],[f20168,f19427]) ).
fof(f20170,plain,
( $false
| ~ spl83_113 ),
inference(forward_subsumption_resolution,[],[f20169,f19188]) ).
fof(f20171,plain,
~ spl83_113,
inference(avatar_contradiction_clause,[],[f20170]) ).
cnf(s72,plain,
spl83_85,
inference(sat_conversion,[],[f19999]) ).
cnf(s73,plain,
spl83_86,
inference(sat_conversion,[],[f20003]) ).
cnf(s74,plain,
spl83_87,
inference(sat_conversion,[],[f20011]) ).
cnf(s75,plain,
spl83_89,
inference(sat_conversion,[],[f20039]) ).
cnf(s76,plain,
spl83_90,
inference(sat_conversion,[],[f20043]) ).
cnf(s77,plain,
spl83_91,
inference(sat_conversion,[],[f20047]) ).
cnf(s82,plain,
( ~ spl83_85
| ~ spl83_86
| ~ spl83_87
| spl83_88
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91
| spl83_92
| spl83_113 ),
inference(sat_conversion,[],[f20155]) ).
cnf(s83,plain,
~ spl83_88,
inference(sat_conversion,[],[f20159]) ).
cnf(s84,plain,
~ spl83_92,
inference(sat_conversion,[],[f20163]) ).
cnf(s85,plain,
~ spl83_113,
inference(sat_conversion,[],[f20171]) ).
cnf(s86,plain,
( ~ spl83_85
| ~ spl83_86
| ~ spl83_87
| ~ spl83_89
| ~ spl83_90
| ~ spl83_91 ),
inference(rat,[],[s82,s85,s84,s83]) ).
cnf(s88,plain,
~ spl83_85,
inference(rat,[],[s86,s77,s76,s75,s74,s73]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s72,s88]) ).
fof(f20172,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:07:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/2.76 % (3675744)Detected formulas, will run a generic FOF schedule.
% 5.79/2.76 % (3675750)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=3063117578:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 5.79/2.76 % (3675756)dis-21_1_sil=8000:lcm=predicate:random_seed=371677994:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 5.79/2.76 % (3675751)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=3998744115:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 5.79/2.76 % (3675755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2401373205:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 5.79/2.76 % (3675753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=682075576:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 5.79/2.76 % (3675752)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=4244006414:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 5.79/2.76 % (3675754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=202845007:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 5.79/2.76 % (3675755)Instruction limit reached!
% 5.79/2.76 % (3675755)------------------------------
% 5.79/2.76 % (3675755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675755)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675755)Termination reason: Instruction limit
% 5.79/2.76 % (3675755)Termination phase: Property scanning
% 5.79/2.76 % (3675755)Time elapsed: 0.059 s
% 5.79/2.76 % (3675755)Peak memory usage: 112 MB
% 5.79/2.76 % (3675755)Instructions burned: 139 (million)
% 5.79/2.76 % (3675753)Instruction limit reached!
% 5.79/2.76 % (3675753)------------------------------
% 5.79/2.76 % (3675753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675753)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675753)Termination reason: Instruction limit
% 5.79/2.76 % (3675753)Termination phase: SInE selection
% 5.79/2.76 % (3675753)Time elapsed: 0.085 s
% 5.79/2.76 % (3675753)Peak memory usage: 112 MB
% 5.79/2.76 % (3675753)Instructions burned: 109 (million)
% 5.79/2.76 % (3675756)Instruction limit reached!
% 5.79/2.76 % (3675756)------------------------------
% 5.79/2.76 % (3675756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675756)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675756)Termination reason: Instruction limit
% 5.79/2.76 % (3675756)Termination phase: SInE selection
% 5.79/2.76 % (3675756)Time elapsed: 0.086 s
% 5.79/2.76 % (3675756)Peak memory usage: 112 MB
% 5.79/2.76 % (3675756)Instructions burned: 129 (million)
% 5.79/2.76 % (3675754)Instruction limit reached!
% 5.79/2.76 % (3675754)------------------------------
% 5.79/2.76 % (3675754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675754)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675754)Termination reason: Instruction limit
% 5.79/2.76 % (3675754)Termination phase: Preprocessing 1
% 5.79/2.76 % (3675754)Time elapsed: 0.102 s
% 5.79/2.76 % (3675754)Peak memory usage: 113 MB
% 5.79/2.76 % (3675754)Instructions burned: 119 (million)
% 5.79/2.76 % (3675764)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501485923:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 5.79/2.76 % (3675766)lrs+1011_1_sil=32000:sp=occurrence:random_seed=443591807:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 5.79/2.76 % (3675765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2364773909:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 5.79/2.76 % (3675767)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=3727209303:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 5.79/2.76 % (3675765)Instruction limit reached!
% 5.79/2.76 % (3675765)------------------------------
% 5.79/2.76 % (3675765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675765)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675765)Termination reason: Instruction limit
% 5.79/2.76 % (3675765)Termination phase: Property scanning
% 5.79/2.76 % (3675765)Time elapsed: 0.070 s
% 5.79/2.76 % (3675765)Peak memory usage: 112 MB
% 5.79/2.76 % (3675765)Instructions burned: 159 (million)
% 5.79/2.76 % (3675766)First to succeed.
% 5.79/2.76 % (3675767)Instruction limit reached!
% 5.79/2.76 % (3675767)------------------------------
% 5.79/2.76 % (3675767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675767)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675767)Termination reason: Instruction limit
% 5.79/2.76 % (3675767)Termination phase: Property scanning
% 5.79/2.76 % (3675767)Time elapsed: 0.105 s
% 5.79/2.76 % (3675767)Peak memory usage: 112 MB
% 5.79/2.76 % (3675767)Instructions burned: 248 (million)
% 5.79/2.76 % (3675766)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3675744"
% 5.79/2.76 % (3675764)Instruction limit reached!
% 5.79/2.76 % (3675764)------------------------------
% 5.79/2.76 % (3675764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/2.76 % (3675764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/2.76 % (3675764)CaDiCaL version: 2.1.3
% 5.79/2.76 % (3675764)Termination reason: Instruction limit
% 5.79/2.76 % (3675764)Termination phase: Saturation
% 5.79/2.76 % (3675764)Time elapsed: 0.201 s
% 5.79/2.76 % (3675764)Peak memory usage: 119 MB
% 5.79/2.76 % (3675764)Instructions burned: 286 (million)
% 5.79/2.76 % (3675772)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=613483469:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 5.79/2.76 % (3675773)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1423873636:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 5.79/2.76 % (3675774)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2868119449:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 5.79/2.76 % (3675766)Refutation found. Thanks to Tanya!
% 5.79/2.76 % SZS status Theorem for theBenchmark
% 5.79/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 7.48/2.97 % (3675766)------------------------------
% 7.48/2.97 % (3675766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.97 % (3675766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.97 % (3675766)CaDiCaL version: 2.1.3
% 7.48/2.97 % (3675766)Termination reason: Refutation
% 7.48/2.97 % (3675766)Time elapsed: 0.129 s
% 7.48/2.97 % (3675766)Peak memory usage: 119 MB
% 7.48/2.97 % (3675766)Instructions burned: 157 (million)
% 7.48/2.97 % (3675766)------------------------------
% 7.48/2.97 % (3675766)------------------------------
% 7.48/2.97 % (3675744)Success in time 1.903 s
% 7.48/2.97 % Vampire exiting
%------------------------------------------------------------------------------