%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 11:48:38 AM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 8 unt; 2 def)
% Number of atoms : 473 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 552 ( 160 ~; 158 |; 205 &)
% ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 68 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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] :
( ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| r2_functor0(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(f872,plain,
! [X0] :
( ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[],[f376,f454]) ).
fof(f875,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f872,f397]) ).
fof(f876,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f875,f398]) ).
fof(f877,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f876,f451]) ).
fof(f878,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f877,f450]) ).
fof(f879,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f878,f447]) ).
fof(f880,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f879,f437]) ).
fof(f881,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f880,f436]) ).
fof(f882,plain,
! [X0] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f881,f433]) ).
fof(f1207,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(resolution,[],[f882,f322]) ).
fof(f1211,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0)) ),
inference(forward_subsumption_resolution,[],[f1207,f321]) ).
fof(f1214,definition,
( spl31_9
<=> l2_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_9])],[avatar_definition]) ).
fof(f1216,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| spl31_9 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1218,definition,
( spl31_10
<=> l2_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f1220,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| spl31_10 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1221,plain,
( ~ spl31_9
| ~ spl31_10 ),
inference(avatar_split_clause,[],[f1211,f1218,f1214]) ).
fof(f1226,plain,
( v1_xboole_0(sK0)
| spl31_9 ),
inference(resolution,[],[f1216,f383]) ).
fof(f1237,plain,
( v2_setfam_1(sK0)
| spl31_9 ),
inference(resolution,[],[f1226,f362]) ).
fof(f1241,plain,
( $false
| spl31_9 ),
inference(forward_subsumption_resolution,[],[f1237,f321]) ).
fof(f1242,plain,
spl31_9,
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1265,plain,
( v1_xboole_0(sK0)
| spl31_10 ),
inference(resolution,[],[f1220,f390]) ).
fof(f1291,plain,
( v2_setfam_1(sK0)
| spl31_10 ),
inference(resolution,[],[f1265,f362]) ).
fof(f1295,plain,
( $false
| spl31_10 ),
inference(forward_subsumption_resolution,[],[f1291,f321]) ).
fof(f1296,plain,
spl31_10,
inference(avatar_contradiction_clause,[],[f1295]) ).
cnf(s6,plain,
( ~ spl31_9
| ~ spl31_10 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s7,plain,
spl31_9,
inference(sat_conversion,[],[f1242]) ).
cnf(s8,plain,
spl31_10,
inference(sat_conversion,[],[f1296]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s6,s8,s7]) ).
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:59:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (1551680)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (1551688)dis+10_1_sil=32000:sp=arity:random_seed=1112524062:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (1551686)% WARNING: option uhcvi not known.
% 0.17/0.49 % (1551690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1637600708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (1551685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=539947477_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (1551686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1917634800:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (1551687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=573403319:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (1551689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1764145866:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (1551691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2195945619:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (1551688) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1551680-1551688"...
% 0.17/0.49 % (1551688)...printing done.
% 0.17/0.49 % (1551688)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (1551688)------------------------------
% 0.17/0.49 % (1551688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (1551688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (1551688)CaDiCaL version: 2.1.3
% 0.17/0.49 % (1551688)Termination reason: Refutation
% 0.17/0.49 % (1551688)Time elapsed: 0.016 s
% 0.17/0.49 % (1551688)Peak memory usage: 13 MB
% 0.17/0.49 % (1551688)Instructions burned: 42 (million)
% 0.17/0.49 % (1551680)Success in time 0.058 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------