%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT362+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 : n012.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 0.88s 0.80s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 115 ( 22 unt; 9 def)
% Number of atoms : 502 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 545 ( 158 ~; 146 |; 205 &)
% ( 12 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 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 : 68 ( 0 sgn 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f28,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',d41_functor0) ).
fof(f45,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/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f46,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/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f47,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/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f80,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/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f82,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/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f84,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/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f117,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))
& 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)) ) ),
inference(pure_predicate_removal,[],[f84]) ).
fof(f124,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,[],[f80]) ).
fof(f125,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,[],[f82]) ).
fof(f128,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))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f124]) ).
fof(f130,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))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f134,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))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f128]) ).
fof(f135,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))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f130]) ).
fof(f137,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))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f135]) ).
fof(f139,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))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f134]) ).
fof(f140,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))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f137]) ).
fof(f141,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))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f148,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))
& 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)) ) ),
inference(pure_predicate_removal,[],[f117]) ).
fof(f151,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))
& 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)) ) ),
inference(pure_predicate_removal,[],[f148]) ).
fof(f174,plain,
? [X0] :
( ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f198,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f207,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,[],[f36]) ).
fof(f208,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,[],[f207]) ).
fof(f216,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,[],[f45]) ).
fof(f217,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,[],[f46]) ).
fof(f218,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,[],[f47]) ).
fof(f253,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))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f254,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))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f140]) ).
fof(f257,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_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)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f287,plain,
( ~ r2_functor0(k4_waybel34(sK0),k5_waybel34(sK0))
& ~ v2_setfam_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f174]) ).
fof(f288,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,[],[f208]) ).
fof(f289,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,[],[f288]) ).
fof(f290,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(sK1(X0,X1),X0,X1)
& v21_functor0(sK1(X0,X1),X0,X1)
& v16_functor0(sK1(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,[sK1]),skolemize(X3,sK1(X0,X1))],[f289]) ).
fof(f321,plain,
~ v2_setfam_1(sK0),
inference(cnf_transformation,[],[f287]) ).
fof(f322,plain,
~ r2_functor0(k4_waybel34(sK0),k5_waybel34(sK0)),
inference(cnf_transformation,[],[f287]) ).
fof(f362,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f376,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,[],[f290]) ).
fof(f383,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f390,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f397,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f398,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f433,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f436,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f437,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f447,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f450,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f451,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f454,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f527,plain,
! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v16_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0)) ),
inference(resolution,[],[f376,f322]) ).
fof(f531,definition,
( spl31_1
<=> l2_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f533,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| spl31_1 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f535,definition,
( spl31_2
<=> v12_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f537,plain,
( ~ v12_altcat_1(k4_waybel34(sK0))
| spl31_2 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f539,definition,
( spl31_3
<=> v2_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f541,plain,
( ~ v2_altcat_1(k4_waybel34(sK0))
| spl31_3 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f543,definition,
( spl31_4
<=> v3_struct_0(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f545,plain,
( v3_struct_0(k4_waybel34(sK0))
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl31_5
<=> l2_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f549,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| spl31_5 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl31_6
<=> v12_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f553,plain,
( ~ v12_altcat_1(k5_waybel34(sK0))
| spl31_6 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl31_7
<=> v2_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f557,plain,
( ~ v2_altcat_1(k5_waybel34(sK0))
| spl31_7 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl31_8
<=> v3_struct_0(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f561,plain,
( v3_struct_0(k5_waybel34(sK0))
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl31_9
<=> ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v16_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f564,plain,
( ! [X0] :
( ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v16_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ m2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0)) )
| ~ spl31_9 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_4
| ~ spl31_5
| ~ spl31_6
| ~ spl31_7
| spl31_8
| spl31_9 ),
inference(avatar_split_clause,[],[f527,f563,f559,f555,f551,f547,f543,f539,f535,f531]) ).
fof(f566,plain,
( v1_xboole_0(sK0)
| spl31_1 ),
inference(resolution,[],[f533,f383]) ).
fof(f567,plain,
( v2_setfam_1(sK0)
| spl31_1 ),
inference(resolution,[],[f566,f362]) ).
fof(f568,plain,
( $false
| spl31_1 ),
inference(forward_subsumption_resolution,[],[f567,f321]) ).
fof(f569,plain,
spl31_1,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f570,plain,
( v2_setfam_1(sK0)
| spl31_2 ),
inference(resolution,[],[f537,f433]) ).
fof(f572,plain,
( $false
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f570,f321]) ).
fof(f573,plain,
spl31_2,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f574,plain,
( v2_setfam_1(sK0)
| spl31_3 ),
inference(resolution,[],[f541,f436]) ).
fof(f576,plain,
( $false
| spl31_3 ),
inference(forward_subsumption_resolution,[],[f574,f321]) ).
fof(f577,plain,
spl31_3,
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f578,plain,
( v1_xboole_0(sK0)
| spl31_5 ),
inference(resolution,[],[f549,f390]) ).
fof(f579,plain,
( v2_setfam_1(sK0)
| spl31_5 ),
inference(resolution,[],[f578,f362]) ).
fof(f580,plain,
( $false
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f579,f321]) ).
fof(f581,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f582,plain,
( v2_setfam_1(sK0)
| spl31_6 ),
inference(resolution,[],[f553,f447]) ).
fof(f584,plain,
( $false
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f582,f321]) ).
fof(f585,plain,
spl31_6,
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f586,plain,
( v2_setfam_1(sK0)
| spl31_7 ),
inference(resolution,[],[f557,f450]) ).
fof(f588,plain,
( $false
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f586,f321]) ).
fof(f589,plain,
spl31_7,
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f590,plain,
( v2_setfam_1(sK0)
| ~ spl31_8 ),
inference(resolution,[],[f561,f451]) ).
fof(f592,plain,
( $false
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f590,f321]) ).
fof(f593,plain,
~ spl31_8,
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f594,plain,
( ~ v16_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ m2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v2_setfam_1(sK0)
| ~ spl31_9 ),
inference(resolution,[],[f564,f454]) ).
fof(f596,plain,
( ~ m2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v2_setfam_1(sK0)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f594,f398]) ).
fof(f597,plain,
( v2_setfam_1(sK0)
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f596,f397]) ).
fof(f598,plain,
( $false
| ~ spl31_9 ),
inference(forward_subsumption_resolution,[],[f597,f321]) ).
fof(f599,plain,
~ spl31_9,
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f600,plain,
( v2_setfam_1(sK0)
| ~ spl31_4 ),
inference(resolution,[],[f545,f437]) ).
fof(f602,plain,
( $false
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f600,f321]) ).
fof(f603,plain,
~ spl31_4,
inference(avatar_contradiction_clause,[],[f602]) ).
cnf(s1,plain,
( ~ spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_4
| ~ spl31_5
| ~ spl31_6
| ~ spl31_7
| spl31_8
| spl31_9 ),
inference(sat_conversion,[],[f565]) ).
cnf(s2,plain,
spl31_1,
inference(sat_conversion,[],[f569]) ).
cnf(s3,plain,
spl31_2,
inference(sat_conversion,[],[f573]) ).
cnf(s4,plain,
spl31_3,
inference(sat_conversion,[],[f577]) ).
cnf(s5,plain,
spl31_5,
inference(sat_conversion,[],[f581]) ).
cnf(s6,plain,
spl31_6,
inference(sat_conversion,[],[f585]) ).
cnf(s7,plain,
spl31_7,
inference(sat_conversion,[],[f589]) ).
cnf(s8,plain,
~ spl31_8,
inference(sat_conversion,[],[f593]) ).
cnf(s9,plain,
~ spl31_9,
inference(sat_conversion,[],[f599]) ).
cnf(s10,plain,
~ spl31_4,
inference(sat_conversion,[],[f603]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s9,s8,s7,s6,s5,s10,s4,s3,s2]) ).
fof(f604,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 15:01:20 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 0.88/0.80 % (2463584)Detected formulas, will run a generic FOF schedule.
% 0.88/0.80 % (2463592)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3621666417:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.88/0.80 % (2463590)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=2769803807:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.88/0.80 % (2463594)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3956349997:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.88/0.80 % (2463589)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=4166217780:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.88/0.80 % (2463593)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4072955510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.88/0.80 % (2463591)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=1839793604:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.88/0.80 % (2463595)dis-21_1_sil=8000:lcm=predicate:random_seed=1140337596: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)
% 0.88/0.80 % (2463592)Refutation not found, incomplete strategy
% 0.88/0.80 % (2463592)------------------------------
% 0.88/0.80 % (2463592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.88/0.80 % (2463592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.80 % (2463592)CaDiCaL version: 2.1.3
% 0.88/0.80 % (2463592)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.80 % (2463592)Time elapsed: 0.001 s
% 0.88/0.80 % (2463592)Peak memory usage: 88 MB
% 0.88/0.80 % (2463592)Instructions burned: 1 (million)
% 0.88/0.80 % (2463593)Refutation not found, incomplete strategy
% 0.88/0.80 % (2463593)------------------------------
% 0.88/0.80 % (2463593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.88/0.80 % (2463593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.80 % (2463593)CaDiCaL version: 2.1.3
% 0.88/0.80 % (2463593)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.80 % (2463593)Time elapsed: 0.001 s
% 0.88/0.80 % (2463593)Peak memory usage: 88 MB
% 0.88/0.80 % (2463593)Instructions burned: 1 (million)
% 0.88/0.80 % (2463594)First to succeed.
% 0.88/0.80 % (2463594)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2463584"
% 0.88/0.80 % (2463595)Instruction limit reached!
% 0.88/0.80 % (2463595)------------------------------
% 0.88/0.80 % (2463595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.88/0.80 % (2463595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.80 % (2463595)CaDiCaL version: 2.1.3
% 0.88/0.80 % (2463595)Termination reason: Instruction limit
% 0.88/0.80 % (2463595)Termination phase: Saturation
% 0.88/0.80 % (2463595)Time elapsed: 0.042 s
% 0.88/0.80 % (2463595)Peak memory usage: 91 MB
% 0.88/0.80 % (2463595)Instructions burned: 129 (million)
% 0.88/0.80 % (2463603)lrs+10_1_sil=8000:sp=occurrence:random_seed=2997749525:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.88/0.80 % (2463592)------------------------------
% 0.88/0.80 % (2463592)------------------------------
% 0.88/0.80 % (2463593)------------------------------
% 0.88/0.80 % (2463593)------------------------------
% 0.88/0.80 % (2463603)Also succeeded, but the first one will report.
% 0.88/0.80 % (2463594)Refutation found. Thanks to Tanya!
% 0.88/0.80 % SZS status Theorem for theBenchmark
% 0.88/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.90 % (2463594)------------------------------
% 0.06/0.90 % (2463594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.06/0.90 % (2463594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.90 % (2463594)CaDiCaL version: 2.1.3
% 0.06/0.90 % (2463594)Termination reason: Refutation
% 0.06/0.90 % (2463594)Time elapsed: 0.005 s
% 0.06/0.90 % (2463594)Peak memory usage: 90 MB
% 0.06/0.90 % (2463594)Instructions burned: 14 (million)
% 0.06/0.90 % (2463594)------------------------------
% 0.06/0.90 % (2463594)------------------------------
% 0.06/0.90 % (2463584)Success in time 0.268 s
% 0.06/0.90 % Vampire exiting
%------------------------------------------------------------------------------