%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 : Fri Sep 25 01:59:39 PM UTC 2026
% Result : Theorem 1.94s 1.28s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 6 unt; 0 def)
% Number of atoms : 441 ( 4 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 505 ( 139 ~; 134 |; 205 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 83 !; 6 ?; 24 :)
% 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] :
( ( l2_altcat_1(X0)
& v12_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ( r2_functor0(X0,X1)
<=> ? [X2] :
( v16_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d41_functor0) ).
fof(f45,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f46,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f47,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_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_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f82,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f84,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_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)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f84]) ).
fof(f124,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f80]) ).
fof(f125,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f82]) ).
fof(f128,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f124]) ).
fof(f130,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f134,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f128]) ).
fof(f135,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f130]) ).
fof(f137,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f135]) ).
fof(f139,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f134]) ).
fof(f140,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f137]) ).
fof(f141,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f139]) ).
fof(f148,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f117]) ).
fof(f151,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f148]) ).
fof(f174,plain,
? [X0] :
( ~ v2_setfam_1(X0)
& ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f198,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f207,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ( r2_functor0(X0,X1)
<=> ? [X2] :
( v16_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f208,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ( r2_functor0(X0,X1)
<=> ? [X2] :
( v16_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f207]) ).
fof(f216,plain,
! [X0] :
( v1_xboole_0(X0)
| ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f217,plain,
! [X0] :
( v1_xboole_0(X0)
| ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f218,plain,
! [X0] :
( v2_setfam_1(X0)
| ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f253,plain,
! [X0] :
( v2_setfam_1(X0)
| ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f141]) ).
fof(f254,plain,
! [X0] :
( v2_setfam_1(X0)
| ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f140]) ).
fof(f257,plain,
! [X0] :
( v2_setfam_1(X0)
| ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f151]) ).
fof(f287,plain,
( ~ v2_setfam_1(sK0)
& ~ r2_functor0(k4_waybel34(sK0),k5_waybel34(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f174]) ).
fof(f288,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ( ( ~ r2_functor0(X0,X1)
| ? [X2] :
( v16_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) ) )
& ( ! [X2] :
( ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| r2_functor0(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f289,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ( ( ~ r2_functor0(X0,X1)
| ? [X3] :
( v16_functor0(X3,X0,X1)
& v21_functor0(X3,X0,X1)
& m2_functor0(X3,X0,X1) ) )
& ( ! [X2] :
( ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| r2_functor0(X0,X1) ) ) ) ),
inference(rectify,[],[f288]) ).
fof(f290,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ( ( ~ r2_functor0(X0,X1)
| ( v16_functor0(sK1(X0,X1),X0,X1)
& v21_functor0(sK1(X0,X1),X0,X1)
& m2_functor0(sK1(X0,X1),X0,X1) ) )
& ( ! [X2] :
( ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| r2_functor0(X0,X1) ) ) ) ),
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] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| r2_functor0(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
fof(f383,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f390,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f397,plain,
! [X0] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f218]) ).
fof(f433,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f436,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f437,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f447,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f254]) ).
fof(f450,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f254]) ).
fof(f451,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f254]) ).
fof(f454,plain,
! [X0] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f455,plain,
! [X0] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_49,negated_conjecture,
~ r2_functor0(k4_waybel34(sK0),k5_waybel34(sK0)),
inference(cnf_transformation,[],[f322]) ).
tcf(c_50,negated_conjecture,
~ v2_setfam_1(sK0),
inference(cnf_transformation,[],[f321]) ).
tcf(c_83,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r2_functor0(X1,X2)
| ~ v12_altcat_1(X2)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ v21_functor0(X0,X1,X2)
| ~ m2_functor0(X0,X1,X2)
| ~ v16_functor0(X0,X1,X2) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_106,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_113,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_116,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_147,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_148,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_151,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f433]) ).
tcf(c_161,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_162,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_165,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_174,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_175,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_554,plain,
! [X0: $i] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_174]) ).
tcf(c_555,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(renaming,[status(thm)],[c_554]) ).
tcf(c_3332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| v3_struct_0(X2)
| v2_setfam_1(X0)
| r2_functor0(X2,X3)
| ~ v12_altcat_1(X3)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X3)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(X3)
| ~ l2_altcat_1(X2)
| ~ v21_functor0(X1,X2,X3)
| ~ m2_functor0(X1,X2,X3)
| ( k6_waybel34(X0) != X1 )
| ( k5_waybel34(X0) != X3 )
| ( k4_waybel34(X0) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_555]) ).
tcf(c_3333,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(unflattening,[status(thm)],[c_3332]) ).
tcf(c_3335,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_3333,c_165,c_162,c_151,c_148,c_113,c_106,c_83,c_161,c_147,c_175,c_116,c_3333]) ).
tcf(c_3346,plain,
! [X0: $i] :
( r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_3335]) ).
tcf(c_3347,plain,
r2_functor0(k4_waybel34(sK0),k5_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_3346]) ).
tcf(c_3348,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3347,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 21:22:54 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.94/1.28 % SZS status Started for theBenchmark.p
% 1.94/1.28 % SZS status Theorem for theBenchmark.p
% 1.94/1.28
% 1.94/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.94/1.28
% 1.94/1.28 % ------ iProver source info
% 1.94/1.28
% 1.94/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.94/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.94/1.28 % git: non_committed_changes: false
% 1.94/1.28
% 1.94/1.28 % ------ Parsing...
% 1.94/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.94/1.28
% 1.94/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 72 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s%
% 1.94/1.28
% 1.94/1.28 % SZS status Theorem for theBenchmark.p
% 1.94/1.28
% 1.94/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/1.28
% 1.94/1.28
%------------------------------------------------------------------------------