%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT362+2 : 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 : n026.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 11:47:20 AM UTC 2026
% Result : Theorem 5.64s 2.16s
% Output : Refutation 6.37s
% 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(f451,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f7789,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(f10317,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(f10318,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(f10319,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(f10351,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(f10352,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(f10360,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(f10364,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_waybel34) ).
fof(f10365,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f10364]) ).
fof(f10372,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,[],[f10352]) ).
fof(f10373,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,[],[f10351]) ).
fof(f10374,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,[],[f10372]) ).
fof(f10375,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,[],[f10373]) ).
fof(f10381,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,[],[f10375]) ).
fof(f10382,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,[],[f10374]) ).
fof(f10383,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,[],[f10381]) ).
fof(f10384,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,[],[f10382]) ).
fof(f10385,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,[],[f10384]) ).
fof(f10386,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,[],[f10383]) ).
fof(f10387,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,[],[f10360]) ).
fof(f10389,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,[],[f10387]) ).
fof(f10391,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,[],[f10389]) ).
fof(f10394,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,[],[f10391]) ).
fof(f10396,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,[],[f10394]) ).
fof(f10401,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,[],[f10385]) ).
fof(f10402,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,[],[f10386]) ).
fof(f10403,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,[],[f10401]) ).
fof(f10404,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,[],[f10402]) ).
fof(f10405,plain,
? [X0] :
( ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10365]) ).
fof(f10408,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f451]) ).
fof(f10415,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,[],[f7789]) ).
fof(f10416,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,[],[f10415]) ).
fof(f10420,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,[],[f10396]) ).
fof(f10429,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,[],[f10404]) ).
fof(f10436,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,[],[f10319]) ).
fof(f10437,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,[],[f10317]) ).
fof(f10441,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,[],[f10403]) ).
fof(f10447,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,[],[f10318]) ).
fof(f10482,plain,
( ~ r2_functor0(k4_waybel34(sK28),k5_waybel34(sK28))
& ~ v2_setfam_1(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f10405]) ).
fof(f10545,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,[],[f10416]) ).
fof(f10546,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,[],[f10545]) ).
fof(f10547,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(sK64(X0,X1),X0,X1)
& v21_functor0(sK64(X0,X1),X0,X1)
& v16_functor0(sK64(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,[sK64]),skolemize(X3,sK64(X0,X1))],[f10546]) ).
fof(f10602,plain,
~ v2_setfam_1(sK28),
inference(cnf_transformation,[],[f10482]) ).
fof(f10603,plain,
~ r2_functor0(k4_waybel34(sK28),k5_waybel34(sK28)),
inference(cnf_transformation,[],[f10482]) ).
fof(f10609,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10408]) ).
fof(f10747,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,[],[f10547]) ).
fof(f10755,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10420]) ).
fof(f10789,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10429]) ).
fof(f10792,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10429]) ).
fof(f10793,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10429]) ).
fof(f10836,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10436]) ).
fof(f10837,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10436]) ).
fof(f10839,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10437]) ).
fof(f10856,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10441]) ).
fof(f10859,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10441]) ).
fof(f10860,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10441]) ).
fof(f10900,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10447]) ).
fof(f11448,definition,
( spl81_99
<=> l2_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_99])],[avatar_definition]) ).
fof(f11449,plain,
( l2_altcat_1(k4_waybel34(sK28))
| ~ spl81_99 ),
inference(avatar_component_clause,[],[f11448]) ).
fof(f11450,plain,
( ~ l2_altcat_1(k4_waybel34(sK28))
| spl81_99 ),
inference(avatar_component_clause,[],[f11448]) ).
fof(f11452,definition,
( spl81_100
<=> v12_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_100])],[avatar_definition]) ).
fof(f11453,plain,
( v12_altcat_1(k4_waybel34(sK28))
| ~ spl81_100 ),
inference(avatar_component_clause,[],[f11452]) ).
fof(f11454,plain,
( ~ v12_altcat_1(k4_waybel34(sK28))
| spl81_100 ),
inference(avatar_component_clause,[],[f11452]) ).
fof(f11456,definition,
( spl81_101
<=> v2_altcat_1(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_101])],[avatar_definition]) ).
fof(f11457,plain,
( v2_altcat_1(k4_waybel34(sK28))
| ~ spl81_101 ),
inference(avatar_component_clause,[],[f11456]) ).
fof(f11458,plain,
( ~ v2_altcat_1(k4_waybel34(sK28))
| spl81_101 ),
inference(avatar_component_clause,[],[f11456]) ).
fof(f11460,definition,
( spl81_102
<=> v3_struct_0(k4_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_102])],[avatar_definition]) ).
fof(f11462,plain,
( v3_struct_0(k4_waybel34(sK28))
| ~ spl81_102 ),
inference(avatar_component_clause,[],[f11460]) ).
fof(f11464,definition,
( spl81_103
<=> l2_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_103])],[avatar_definition]) ).
fof(f11465,plain,
( l2_altcat_1(k5_waybel34(sK28))
| ~ spl81_103 ),
inference(avatar_component_clause,[],[f11464]) ).
fof(f11466,plain,
( ~ l2_altcat_1(k5_waybel34(sK28))
| spl81_103 ),
inference(avatar_component_clause,[],[f11464]) ).
fof(f11468,definition,
( spl81_104
<=> v12_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_104])],[avatar_definition]) ).
fof(f11469,plain,
( v12_altcat_1(k5_waybel34(sK28))
| ~ spl81_104 ),
inference(avatar_component_clause,[],[f11468]) ).
fof(f11470,plain,
( ~ v12_altcat_1(k5_waybel34(sK28))
| spl81_104 ),
inference(avatar_component_clause,[],[f11468]) ).
fof(f11472,definition,
( spl81_105
<=> v2_altcat_1(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_105])],[avatar_definition]) ).
fof(f11473,plain,
( v2_altcat_1(k5_waybel34(sK28))
| ~ spl81_105 ),
inference(avatar_component_clause,[],[f11472]) ).
fof(f11474,plain,
( ~ v2_altcat_1(k5_waybel34(sK28))
| spl81_105 ),
inference(avatar_component_clause,[],[f11472]) ).
fof(f11476,definition,
( spl81_106
<=> v3_struct_0(k5_waybel34(sK28)) ),
introduced(definition,[new_symbols(definition,[spl81_106])],[avatar_definition]) ).
fof(f11478,plain,
( v3_struct_0(k5_waybel34(sK28))
| ~ spl81_106 ),
inference(avatar_component_clause,[],[f11476]) ).
fof(f11484,plain,
( v1_xboole_0(sK28)
| spl81_99 ),
inference(resolution,[],[f11450,f10839]) ).
fof(f11485,plain,
( v2_setfam_1(sK28)
| spl81_99 ),
inference(resolution,[],[f11484,f10609]) ).
fof(f11486,plain,
( $false
| spl81_99 ),
inference(forward_subsumption_resolution,[],[f11485,f10602]) ).
fof(f11487,plain,
spl81_99,
inference(avatar_contradiction_clause,[],[f11486]) ).
fof(f11489,plain,
( v2_setfam_1(sK28)
| spl81_100 ),
inference(resolution,[],[f11454,f10789]) ).
fof(f11490,plain,
( $false
| spl81_100 ),
inference(forward_subsumption_resolution,[],[f11489,f10602]) ).
fof(f11491,plain,
spl81_100,
inference(avatar_contradiction_clause,[],[f11490]) ).
fof(f11496,plain,
( v2_setfam_1(sK28)
| spl81_101 ),
inference(resolution,[],[f11458,f10792]) ).
fof(f11497,plain,
( $false
| spl81_101 ),
inference(forward_subsumption_resolution,[],[f11496,f10602]) ).
fof(f11498,plain,
spl81_101,
inference(avatar_contradiction_clause,[],[f11497]) ).
fof(f11513,plain,
( v1_xboole_0(sK28)
| spl81_103 ),
inference(resolution,[],[f11466,f10900]) ).
fof(f11523,plain,
( v2_setfam_1(sK28)
| spl81_103 ),
inference(resolution,[],[f11513,f10609]) ).
fof(f11524,plain,
( $false
| spl81_103 ),
inference(forward_subsumption_resolution,[],[f11523,f10602]) ).
fof(f11525,plain,
spl81_103,
inference(avatar_contradiction_clause,[],[f11524]) ).
fof(f11527,plain,
( v2_setfam_1(sK28)
| spl81_104 ),
inference(resolution,[],[f11470,f10856]) ).
fof(f11528,plain,
( $false
| spl81_104 ),
inference(forward_subsumption_resolution,[],[f11527,f10602]) ).
fof(f11529,plain,
spl81_104,
inference(avatar_contradiction_clause,[],[f11528]) ).
fof(f11531,plain,
( v2_setfam_1(sK28)
| spl81_105 ),
inference(resolution,[],[f11474,f10859]) ).
fof(f11532,plain,
( $false
| spl81_105 ),
inference(forward_subsumption_resolution,[],[f11531,f10602]) ).
fof(f11533,plain,
spl81_105,
inference(avatar_contradiction_clause,[],[f11532]) ).
fof(f11579,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,[],[f10747,f10603]) ).
fof(f11582,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)) )
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11579,f11473]) ).
fof(f11584,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)) )
| ~ spl81_104
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11582,f11469]) ).
fof(f11586,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)) )
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11584,f11465]) ).
fof(f11588,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)) )
| ~ spl81_101
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11586,f11457]) ).
fof(f11590,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)) )
| ~ spl81_100
| ~ spl81_101
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11588,f11453]) ).
fof(f11592,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)) )
| ~ spl81_99
| ~ spl81_100
| ~ spl81_101
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(forward_subsumption_resolution,[],[f11590,f11449]) ).
fof(f11598,definition,
( spl81_109
<=> ! [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,[spl81_109])],[avatar_definition]) ).
fof(f11599,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)) )
| ~ spl81_109 ),
inference(avatar_component_clause,[],[f11598]) ).
fof(f11600,plain,
( spl81_102
| spl81_106
| spl81_109
| ~ spl81_99
| ~ spl81_100
| ~ spl81_101
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(avatar_split_clause,[],[f11592,f11472,f11468,f11464,f11456,f11452,f11448,f11598,f11476,f11460]) ).
fof(f11602,plain,
( v2_setfam_1(sK28)
| ~ spl81_102 ),
inference(resolution,[],[f11462,f10793]) ).
fof(f11603,plain,
( $false
| ~ spl81_102 ),
inference(forward_subsumption_resolution,[],[f11602,f10602]) ).
fof(f11604,plain,
~ spl81_102,
inference(avatar_contradiction_clause,[],[f11603]) ).
fof(f11606,plain,
( v2_setfam_1(sK28)
| ~ spl81_106 ),
inference(resolution,[],[f11478,f10860]) ).
fof(f11607,plain,
( $false
| ~ spl81_106 ),
inference(forward_subsumption_resolution,[],[f11606,f10602]) ).
fof(f11608,plain,
~ spl81_106,
inference(avatar_contradiction_clause,[],[f11607]) ).
fof(f11611,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)
| ~ spl81_109 ),
inference(resolution,[],[f11599,f10755]) ).
fof(f11613,plain,
( ~ m2_functor0(k6_waybel34(sK28),k4_waybel34(sK28),k5_waybel34(sK28))
| v2_setfam_1(sK28)
| ~ spl81_109 ),
inference(forward_subsumption_resolution,[],[f11611,f10837]) ).
fof(f11614,plain,
( v2_setfam_1(sK28)
| ~ spl81_109 ),
inference(forward_subsumption_resolution,[],[f11613,f10836]) ).
fof(f11615,plain,
( $false
| ~ spl81_109 ),
inference(forward_subsumption_resolution,[],[f11614,f10602]) ).
fof(f11616,plain,
~ spl81_109,
inference(avatar_contradiction_clause,[],[f11615]) ).
cnf(s82,plain,
spl81_99,
inference(sat_conversion,[],[f11487]) ).
cnf(s83,plain,
spl81_100,
inference(sat_conversion,[],[f11491]) ).
cnf(s84,plain,
spl81_101,
inference(sat_conversion,[],[f11498]) ).
cnf(s85,plain,
spl81_103,
inference(sat_conversion,[],[f11525]) ).
cnf(s86,plain,
spl81_104,
inference(sat_conversion,[],[f11529]) ).
cnf(s87,plain,
spl81_105,
inference(sat_conversion,[],[f11533]) ).
cnf(s89,plain,
( ~ spl81_99
| ~ spl81_100
| ~ spl81_101
| spl81_102
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105
| spl81_106
| spl81_109 ),
inference(sat_conversion,[],[f11600]) ).
cnf(s90,plain,
~ spl81_102,
inference(sat_conversion,[],[f11604]) ).
cnf(s91,plain,
~ spl81_106,
inference(sat_conversion,[],[f11608]) ).
cnf(s92,plain,
~ spl81_109,
inference(sat_conversion,[],[f11616]) ).
cnf(s93,plain,
( ~ spl81_99
| ~ spl81_100
| ~ spl81_101
| ~ spl81_103
| ~ spl81_104
| ~ spl81_105 ),
inference(rat,[],[s89,s92,s91,s90]) ).
cnf(s95,plain,
~ spl81_99,
inference(rat,[],[s93,s87,s86,s85,s84,s83]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s82,s95]) ).
fof(f11617,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 15:04:13 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 5.64/2.16 % (2956595)Detected formulas, will run a generic FOF schedule.
% 5.64/2.16 % (2956601)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=3812174314:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 5.64/2.16 % (2956602)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=4093333627:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 5.64/2.16 % (2956600)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=2696266906:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 5.64/2.16 % (2956605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2413323931:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 5.64/2.16 % (2956604)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2745596850:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 5.64/2.16 % (2956603)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3802726580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 5.64/2.16 % (2956606)dis-21_1_sil=8000:lcm=predicate:random_seed=2452905456:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 5.64/2.16 % (2956605)Instruction limit reached!
% 5.64/2.16 % (2956605)------------------------------
% 5.64/2.16 % (2956605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956605)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956605)Termination reason: Instruction limit
% 5.64/2.16 % (2956605)Termination phase: Property scanning
% 5.64/2.16 % (2956605)Time elapsed: 0.059 s
% 5.64/2.16 % (2956605)Peak memory usage: 99 MB
% 5.64/2.16 % (2956605)Instructions burned: 139 (million)
% 5.64/2.16 % (2956603)Refutation not found, incomplete strategy
% 5.64/2.16 % (2956603)------------------------------
% 5.64/2.16 % (2956603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956603)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956603)Termination reason: Refutation not found, incomplete strategy
% 5.64/2.16 % (2956603)Time elapsed: 0.061 s
% 5.64/2.16 % (2956603)Peak memory usage: 103 MB
% 5.64/2.16 % (2956603)Instructions burned: 77 (million)
% 5.64/2.16 % (2956604)Instruction limit reached!
% 5.64/2.16 % (2956604)------------------------------
% 5.64/2.16 % (2956604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956604)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956604)Termination reason: Instruction limit
% 5.64/2.16 % (2956604)Termination phase: Property scanning
% 5.64/2.16 % (2956604)Time elapsed: 0.092 s
% 5.64/2.16 % (2956604)Peak memory usage: 102 MB
% 5.64/2.16 % (2956604)Instructions burned: 121 (million)
% 5.64/2.16 % (2956606)Instruction limit reached!
% 5.64/2.16 % (2956606)------------------------------
% 5.64/2.16 % (2956606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956606)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956606)Termination reason: Instruction limit
% 5.64/2.16 % (2956606)Termination phase: Preprocessing 1
% 5.64/2.16 % (2956606)Time elapsed: 0.101 s
% 5.64/2.16 % (2956606)Peak memory usage: 100 MB
% 5.64/2.16 % (2956606)Instructions burned: 129 (million)
% 5.64/2.16 % (2956614)lrs+10_1_sil=8000:sp=occurrence:random_seed=809322250:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 5.64/2.16 % (2956615)lrs+10_1_sil=32000:urr=on:br=off:random_seed=687730517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 5.64/2.16 % (2956616)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2912670219:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 5.64/2.16 % (2956603)------------------------------
% 5.64/2.16 % (2956603)------------------------------
% 5.64/2.16 % (2956615)Instruction limit reached!
% 5.64/2.16 % (2956615)------------------------------
% 5.64/2.16 % (2956615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956615)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956615)Termination reason: Instruction limit
% 5.64/2.16 % (2956615)Termination phase: SInE selection
% 5.64/2.16 % (2956615)Time elapsed: 0.073 s
% 5.64/2.16 % (2956615)Peak memory usage: 99 MB
% 5.64/2.16 % (2956615)Instructions burned: 157 (million)
% 5.64/2.16 % (2956616)First to succeed.
% 5.64/2.16 % (2956616)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2956595"
% 5.64/2.16 % (2956614)Instruction limit reached!
% 5.64/2.16 % (2956614)------------------------------
% 5.64/2.16 % (2956614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.16 % (2956614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.16 % (2956614)CaDiCaL version: 2.1.3
% 5.64/2.16 % (2956614)Termination reason: Instruction limit
% 5.64/2.16 % (2956614)Termination phase: Saturation
% 5.64/2.16 % (2956614)Time elapsed: 0.197 s
% 5.64/2.16 % (2956614)Peak memory usage: 107 MB
% 5.64/2.16 % (2956614)Instructions burned: 286 (million)
% 5.64/2.16 % (2956621)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=87560412:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 5.64/2.16 % (2956620)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=2320158306:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 5.64/2.16 % (2956622)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1477176698:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 5.64/2.16 % (2956616)Refutation found. Thanks to Tanya!
% 5.64/2.16 % SZS status Theorem for theBenchmark
% 5.64/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.37/2.36 % (2956616)------------------------------
% 6.37/2.36 % (2956616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/2.36 % (2956616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/2.36 % (2956616)CaDiCaL version: 2.1.3
% 6.37/2.36 % (2956616)Termination reason: Refutation
% 6.37/2.36 % (2956616)Time elapsed: 0.079 s
% 6.37/2.36 % (2956616)Peak memory usage: 105 MB
% 6.37/2.36 % (2956616)Instructions burned: 102 (million)
% 6.37/2.36 % (2956616)------------------------------
% 6.37/2.36 % (2956616)------------------------------
% 6.37/2.36 % (2956595)Success in time 1.293 s
% 6.37/2.36 % Vampire exiting
%------------------------------------------------------------------------------