%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT361+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 : n016.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 3.81s 1.56s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 34
% Syntax : Number of formulae : 273 ( 35 unt; 18 def)
% Number of atoms : 1490 ( 104 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 2013 ( 796 ~; 945 |; 219 &)
% ( 18 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 19 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-5 aty)
% Number of variables : 149 ( 0 sgn 148 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
& k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
& k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( l1_altcat_1(X0)
& l1_altcat_1(X1)
& l2_functor0(X2,X0,X1) )
=> ( v9_functor0(X2,X0,X1)
=> X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
fof(f26,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ( ( ~ v3_struct_0(X0)
& v12_altcat_1(X0) )
=> ( ~ v3_struct_0(X0)
& v1_altcat_2(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor0) ).
fof(f29,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f45,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_altcat_1(X0)
& ~ v3_struct_0(X1)
& l1_altcat_1(X1)
& l2_functor0(X2,X0,X1) )
=> ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
& l2_functor0(k15_functor0(X0,X1,X2),X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_functor0) ).
fof(f52,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(f53,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(f54,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(f59,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f65,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0)
& ~ v3_struct_0(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( m2_functor0(X2,X0,X1)
=> l2_functor0(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_functor0) ).
fof(f97,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(f99,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(f101,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(f102,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).
fof(f129,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f131,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& v1_altcat_2(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( v8_functor0(X2,X0,X1)
& l2_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( v8_functor0(X3,X1,X0)
& l2_functor0(X3,X1,X0) )
=> ( g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3)) = k15_functor0(X0,X1,X2)
=> k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_functor1) ).
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_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,[],[f97]) ).
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))
& 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,[],[f99]) ).
fof(f144,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,[],[f139]) ).
fof(f145,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,[],[f140]) ).
fof(f147,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,[],[f144]) ).
fof(f150,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,[],[f145]) ).
fof(f152,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,[],[f150]) ).
fof(f154,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,[],[f147]) ).
fof(f155,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,[],[f152]) ).
fof(f156,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,[],[f154]) ).
fof(f163,plain,
? [X0] :
( ( k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) != k12_functor0(k5_waybel34(X0))
| k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(k4_waybel34(X0)) )
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f165,plain,
! [X0] :
( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f166,plain,
! [X0] :
( ( v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f167,plain,
! [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)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f168,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,[],[f155]) ).
fof(f170,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,[],[f54]) ).
fof(f171,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,[],[f53]) ).
fof(f173,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f174,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,[],[f156]) ).
fof(f175,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,[],[f52]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f190]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
& l2_functor0(k15_functor0(X0,X1,X2),X1,X0) )
| v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
& l2_functor0(k15_functor0(X0,X1,X2),X1,X0) )
| v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(flattening,[],[f196]) ).
fof(f227,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_altcat_2(X0) )
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f228,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_altcat_2(X0) )
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f227]) ).
fof(f231,plain,
! [X0,X1] :
( ! [X2] :
( l2_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f232,plain,
! [X0,X1] :
( ! [X2] :
( l2_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(flattening,[],[f231]) ).
fof(f235,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f244,plain,
! [X0,X1,X2] :
( X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2))
| ~ v9_functor0(X2,X0,X1)
| ~ l1_altcat_1(X0)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f245,plain,
! [X0,X1,X2] :
( X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2))
| ~ v9_functor0(X2,X0,X1)
| ~ l1_altcat_1(X0)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(flattening,[],[f244]) ).
fof(f299,plain,
( ( k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0)) )
& ~ v2_setfam_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f163]) ).
fof(f330,plain,
~ v2_setfam_1(sK0),
inference(cnf_transformation,[],[f299]) ).
fof(f331,plain,
( k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0)) ),
inference(cnf_transformation,[],[f299]) ).
fof(f333,plain,
! [X0] :
( v2_setfam_1(X0)
| k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f334,plain,
! [X0] :
( v2_setfam_1(X0)
| k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f335,plain,
! [X0] :
( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f341,plain,
! [X0] :
( v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f343,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f349,plain,
! [X0] :
( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f354,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f357,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f358,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f362,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f365,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f375,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f379,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f382,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f383,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f384,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f410,plain,
! [X2,X0,X1] :
( l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
| v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f411,plain,
! [X2,X0,X1] :
( v9_functor0(k15_functor0(X0,X1,X2),X1,X0)
| v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f473,plain,
! [X0] :
( ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| v1_altcat_2(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ m2_functor0(X2,X0,X1)
| l2_functor0(X2,X0,X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f481,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ v9_functor0(X2,X0,X1)
| g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2
| ~ l1_altcat_1(X0)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f562,plain,
! [X2,X3,X0,X1] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_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)
| ~ v1_altcat_2(X0)
| ~ l2_altcat_1(X0) ),
inference(forward_subsumption_resolution,[],[f405,f473]) ).
fof(f564,definition,
( spl30_1
<=> k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f566,plain,
( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
| spl30_1 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,definition,
( spl30_2
<=> k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f570,plain,
( k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0))
| spl30_2 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f571,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f331,f568,f564]) ).
fof(f572,plain,
! [X2,X3,X0,X1] :
( k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_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(forward_subsumption_resolution,[],[f562,f473]) ).
fof(f582,plain,
! [X0] :
( l1_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f365,f481]) ).
fof(f583,plain,
! [X0] :
( l1_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(resolution,[],[f384,f481]) ).
fof(f610,plain,
k6_waybel34(sK0) = k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),
inference(resolution,[],[f333,f330]) ).
fof(f612,plain,
k7_waybel34(sK0) = k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),
inference(resolution,[],[f334,f330]) ).
fof(f724,definition,
( spl30_3
<=> l1_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f725,plain,
( l1_altcat_1(k4_waybel34(sK0))
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f726,plain,
( ~ l1_altcat_1(k4_waybel34(sK0))
| spl30_3 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f743,definition,
( spl30_7
<=> v3_struct_0(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_7])],[avatar_definition]) ).
fof(f744,plain,
( ~ v3_struct_0(k4_waybel34(sK0))
| spl30_7 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( v3_struct_0(k4_waybel34(sK0))
| ~ spl30_7 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f757,definition,
( spl30_10
<=> l2_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_10])],[avatar_definition]) ).
fof(f758,plain,
( l2_altcat_1(k4_waybel34(sK0))
| ~ spl30_10 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f759,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| spl30_10 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f761,definition,
( spl30_11
<=> v12_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_11])],[avatar_definition]) ).
fof(f762,plain,
( v12_altcat_1(k4_waybel34(sK0))
| ~ spl30_11 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f763,plain,
( ~ v12_altcat_1(k4_waybel34(sK0))
| spl30_11 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f765,definition,
( spl30_12
<=> v2_altcat_1(k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_12])],[avatar_definition]) ).
fof(f766,plain,
( v2_altcat_1(k4_waybel34(sK0))
| ~ spl30_12 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( ~ v2_altcat_1(k4_waybel34(sK0))
| spl30_12 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f785,plain,
( v1_xboole_0(sK0)
| spl30_3 ),
inference(resolution,[],[f726,f583]) ).
fof(f789,plain,
( v2_setfam_1(sK0)
| spl30_3 ),
inference(resolution,[],[f785,f375]) ).
fof(f790,plain,
( $false
| spl30_3 ),
inference(forward_subsumption_resolution,[],[f789,f330]) ).
fof(f791,plain,
spl30_3,
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f794,plain,
( v2_setfam_1(sK0)
| ~ spl30_7 ),
inference(resolution,[],[f745,f383]) ).
fof(f795,plain,
( $false
| ~ spl30_7 ),
inference(forward_subsumption_resolution,[],[f794,f330]) ).
fof(f796,plain,
~ spl30_7,
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f812,plain,
( v2_setfam_1(sK0)
| spl30_12 ),
inference(resolution,[],[f767,f382]) ).
fof(f813,plain,
( $false
| spl30_12 ),
inference(forward_subsumption_resolution,[],[f812,f330]) ).
fof(f814,plain,
spl30_12,
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f830,plain,
( v1_xboole_0(sK0)
| spl30_10 ),
inference(resolution,[],[f759,f384]) ).
fof(f833,plain,
( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
inference(superposition,[],[f410,f612]) ).
fof(f835,plain,
( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f833,f744]) ).
fof(f837,plain,
( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f835,f725]) ).
fof(f840,definition,
( spl30_16
<=> l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).
fof(f841,plain,
( l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_16 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f842,plain,
( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| spl30_16 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f844,definition,
( spl30_17
<=> l1_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_17])],[avatar_definition]) ).
fof(f845,plain,
( l1_altcat_1(k5_waybel34(sK0))
| ~ spl30_17 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f846,plain,
( ~ l1_altcat_1(k5_waybel34(sK0))
| spl30_17 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f848,definition,
( spl30_18
<=> v3_struct_0(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f849,plain,
( ~ v3_struct_0(k5_waybel34(sK0))
| spl30_18 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f850,plain,
( v3_struct_0(k5_waybel34(sK0))
| ~ spl30_18 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f852,definition,
( spl30_19
<=> l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_19])],[avatar_definition]) ).
fof(f854,plain,
( l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_19 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f855,plain,
( ~ spl30_16
| ~ spl30_17
| spl30_18
| spl30_19
| ~ spl30_3
| spl30_7 ),
inference(avatar_split_clause,[],[f837,f743,f724,f852,f848,f844,f840]) ).
fof(f860,plain,
( v2_setfam_1(sK0)
| spl30_10 ),
inference(resolution,[],[f830,f375]) ).
fof(f861,plain,
( $false
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f860,f330]) ).
fof(f862,plain,
spl30_10,
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f863,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
inference(superposition,[],[f411,f610]) ).
fof(f864,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
inference(superposition,[],[f411,f612]) ).
fof(f865,plain,
( v1_xboole_0(sK0)
| spl30_17 ),
inference(resolution,[],[f846,f582]) ).
fof(f871,plain,
( v2_setfam_1(sK0)
| spl30_17 ),
inference(resolution,[],[f865,f375]) ).
fof(f872,plain,
( $false
| spl30_17 ),
inference(forward_subsumption_resolution,[],[f871,f330]) ).
fof(f873,plain,
spl30_17,
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f889,plain,
( v2_setfam_1(sK0)
| spl30_11 ),
inference(resolution,[],[f763,f379]) ).
fof(f890,plain,
( $false
| spl30_11 ),
inference(forward_subsumption_resolution,[],[f889,f330]) ).
fof(f891,plain,
spl30_11,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f901,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),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))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[],[f476,f362]) ).
fof(f908,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f901,f383]) ).
fof(f910,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f908,f382]) ).
fof(f912,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f910,f379]) ).
fof(f914,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f912,f358]) ).
fof(f916,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f914,f354]) ).
fof(f1200,plain,
( v2_setfam_1(sK0)
| ~ spl30_18 ),
inference(resolution,[],[f850,f358]) ).
fof(f1201,plain,
( $false
| ~ spl30_18 ),
inference(forward_subsumption_resolution,[],[f1200,f330]) ).
fof(f1202,plain,
~ spl30_18,
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1332,definition,
( spl30_46
<=> l2_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_46])],[avatar_definition]) ).
fof(f1333,plain,
( l2_altcat_1(k5_waybel34(sK0))
| ~ spl30_46 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1334,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| spl30_46 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1336,definition,
( spl30_47
<=> v12_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_47])],[avatar_definition]) ).
fof(f1337,plain,
( v12_altcat_1(k5_waybel34(sK0))
| ~ spl30_47 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1338,plain,
( ~ v12_altcat_1(k5_waybel34(sK0))
| spl30_47 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1340,definition,
( spl30_48
<=> v2_altcat_1(k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_48])],[avatar_definition]) ).
fof(f1341,plain,
( v2_altcat_1(k5_waybel34(sK0))
| ~ spl30_48 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( ~ v2_altcat_1(k5_waybel34(sK0))
| spl30_48 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1350,plain,
( v1_xboole_0(sK0)
| spl30_46 ),
inference(resolution,[],[f1334,f365]) ).
fof(f1382,plain,
( v2_setfam_1(sK0)
| spl30_46 ),
inference(resolution,[],[f1350,f375]) ).
fof(f1383,plain,
( $false
| spl30_46 ),
inference(forward_subsumption_resolution,[],[f1382,f330]) ).
fof(f1384,plain,
spl30_46,
inference(avatar_contradiction_clause,[],[f1383]) ).
fof(f1404,plain,
( v2_setfam_1(sK0)
| spl30_47 ),
inference(resolution,[],[f1338,f354]) ).
fof(f1405,plain,
( $false
| spl30_47 ),
inference(forward_subsumption_resolution,[],[f1404,f330]) ).
fof(f1406,plain,
spl30_47,
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1416,plain,
( v2_setfam_1(sK0)
| spl30_48 ),
inference(resolution,[],[f1342,f357]) ).
fof(f1417,plain,
( $false
| spl30_48 ),
inference(forward_subsumption_resolution,[],[f1416,f330]) ).
fof(f1418,plain,
spl30_48,
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1494,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| v2_setfam_1(sK0)
| spl30_16 ),
inference(resolution,[],[f916,f842]) ).
fof(f1497,plain,
( ~ l2_altcat_1(k5_waybel34(sK0))
| v2_setfam_1(sK0)
| ~ spl30_10
| spl30_16 ),
inference(forward_subsumption_resolution,[],[f1494,f758]) ).
fof(f1499,plain,
( v2_setfam_1(sK0)
| ~ spl30_10
| spl30_16
| ~ spl30_46 ),
inference(forward_subsumption_resolution,[],[f1497,f1333]) ).
fof(f1500,plain,
( $false
| ~ spl30_10
| spl30_16
| ~ spl30_46 ),
inference(forward_subsumption_resolution,[],[f1499,f330]) ).
fof(f1501,plain,
( ~ spl30_10
| spl30_16
| ~ spl30_46 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1502,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f863,f849]) ).
fof(f1503,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f864,f744]) ).
fof(f1504,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1502,f845]) ).
fof(f1505,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7 ),
inference(forward_subsumption_resolution,[],[f1503,f725]) ).
fof(f1506,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| spl30_7
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1504,f744]) ).
fof(f1507,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1505,f849]) ).
fof(f1508,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1506,f725]) ).
fof(f1509,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1507,f845]) ).
fof(f1510,plain,
( v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1508,f854]) ).
fof(f1511,plain,
( v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1509,f841]) ).
fof(f1523,plain,
( k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(resolution,[],[f1510,f491]) ).
fof(f1524,plain,
( k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1523,f725]) ).
fof(f1525,plain,
( k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1524,f845]) ).
fof(f1526,plain,
( k6_waybel34(sK0) = g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1525,f841]) ).
fof(f1529,plain,
( k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
| ~ l1_altcat_1(k5_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18 ),
inference(resolution,[],[f1511,f491]) ).
fof(f1530,plain,
( k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1529,f845]) ).
fof(f1531,plain,
( k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f1530,f725]) ).
fof(f1532,plain,
( k7_waybel34(sK0) = g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)))
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1531,f854]) ).
fof(f1565,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_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))
| v3_struct_0(k5_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(superposition,[],[f572,f1526]) ).
fof(f1582,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_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))
| v3_struct_0(k5_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1565,f841]) ).
fof(f1589,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k4_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1582,f744]) ).
fof(f1636,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k4_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1589,f766]) ).
fof(f1637,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_altcat_1(k4_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1636,f762]) ).
fof(f1638,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1637,f758]) ).
fof(f1639,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1638,f849]) ).
fof(f1640,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1639,f1341]) ).
fof(f1641,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1640,f1337]) ).
fof(f1642,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0)
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1641,f1333]) ).
fof(f1644,definition,
( spl30_71
<=> v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_71])],[avatar_definition]) ).
fof(f1645,plain,
( v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ spl30_71 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1646,plain,
( ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| spl30_71 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1648,definition,
( spl30_72
<=> ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_72])],[avatar_definition]) ).
fof(f1649,plain,
( ! [X0] :
( k6_waybel34(sK0) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k12_functor0(k4_waybel34(sK0)) = k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),X0) )
| ~ spl30_72 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1650,plain,
( ~ spl30_71
| spl30_72
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f1642,f1340,f1336,f1332,f852,f848,f844,f840,f765,f761,f757,f743,f724,f1648,f1644]) ).
fof(f1653,plain,
( v2_setfam_1(sK0)
| spl30_71 ),
inference(resolution,[],[f1646,f349]) ).
fof(f1654,plain,
( $false
| spl30_71 ),
inference(forward_subsumption_resolution,[],[f1653,f330]) ).
fof(f1655,plain,
spl30_71,
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1673,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(superposition,[],[f572,f1532]) ).
fof(f1690,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1673,f854]) ).
fof(f1697,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19 ),
inference(forward_subsumption_resolution,[],[f1690,f849]) ).
fof(f1740,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1697,f1341]) ).
fof(f1741,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1740,f1337]) ).
fof(f1742,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),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)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1741,f1333]) ).
fof(f1743,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1742,f744]) ).
fof(f1744,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1743,f766]) ).
fof(f1745,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1744,f762]) ).
fof(f1746,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0)
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0)) )
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(forward_subsumption_resolution,[],[f1745,f758]) ).
fof(f1748,definition,
( spl30_83
<=> v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)) ),
introduced(definition,[new_symbols(definition,[spl30_83])],[avatar_definition]) ).
fof(f1749,plain,
( v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ spl30_83 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1750,plain,
( ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| spl30_83 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1752,definition,
( spl30_84
<=> ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_84])],[avatar_definition]) ).
fof(f1753,plain,
( ! [X0] :
( k7_waybel34(sK0) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k12_functor0(k5_waybel34(sK0)) = k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),X0) )
| ~ spl30_84 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1754,plain,
( ~ spl30_83
| spl30_84
| ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48 ),
inference(avatar_split_clause,[],[f1746,f1340,f1336,f1332,f852,f848,f844,f840,f765,f761,f757,f743,f724,f1752,f1748]) ).
fof(f1759,plain,
( v2_setfam_1(sK0)
| spl30_83 ),
inference(resolution,[],[f1750,f341]) ).
fof(f1760,plain,
( $false
| spl30_83 ),
inference(forward_subsumption_resolution,[],[f1759,f330]) ).
fof(f1761,plain,
spl30_83,
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1804,plain,
( k6_waybel34(sK0) != k6_waybel34(sK0)
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0))
| ~ spl30_72 ),
inference(superposition,[],[f1649,f610]) ).
fof(f1805,plain,
( ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0))
| ~ spl30_72 ),
inference(trivial_inequality_removal,[],[f1804]) ).
fof(f1806,plain,
( ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0))
| ~ spl30_19
| ~ spl30_72 ),
inference(forward_subsumption_resolution,[],[f1805,f854]) ).
fof(f1807,plain,
( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0))
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(forward_subsumption_resolution,[],[f1806,f1749]) ).
fof(f1808,plain,
( ~ v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| spl30_1
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(forward_subsumption_resolution,[],[f1807,f566]) ).
fof(f1811,plain,
( v2_setfam_1(sK0)
| spl30_1
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(resolution,[],[f1808,f335]) ).
fof(f1812,plain,
( $false
| spl30_1
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(forward_subsumption_resolution,[],[f1811,f330]) ).
fof(f1813,plain,
( spl30_1
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1832,plain,
( k7_waybel34(sK0) != k7_waybel34(sK0)
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0))
| ~ spl30_84 ),
inference(superposition,[],[f1753,f612]) ).
fof(f1833,plain,
( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0))
| ~ spl30_84 ),
inference(trivial_inequality_removal,[],[f1832]) ).
fof(f1834,plain,
( ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0))
| ~ spl30_16
| ~ spl30_84 ),
inference(forward_subsumption_resolution,[],[f1833,f841]) ).
fof(f1835,plain,
( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0))
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(forward_subsumption_resolution,[],[f1834,f1645]) ).
fof(f1836,plain,
( ~ v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| spl30_2
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(forward_subsumption_resolution,[],[f1835,f570]) ).
fof(f1845,plain,
( v2_setfam_1(sK0)
| spl30_2
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(resolution,[],[f1836,f343]) ).
fof(f1846,plain,
( $false
| spl30_2
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(forward_subsumption_resolution,[],[f1845,f330]) ).
fof(f1847,plain,
( spl30_2
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(avatar_contradiction_clause,[],[f1846]) ).
cnf(s1,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f571]) ).
cnf(s12,plain,
spl30_3,
inference(sat_conversion,[],[f791]) ).
cnf(s13,plain,
~ spl30_7,
inference(sat_conversion,[],[f796]) ).
cnf(s14,plain,
spl30_12,
inference(sat_conversion,[],[f814]) ).
cnf(s15,plain,
( ~ spl30_3
| spl30_7
| ~ spl30_16
| ~ spl30_17
| spl30_18
| spl30_19 ),
inference(sat_conversion,[],[f855]) ).
cnf(s17,plain,
spl30_10,
inference(sat_conversion,[],[f862]) ).
cnf(s18,plain,
spl30_17,
inference(sat_conversion,[],[f873]) ).
cnf(s19,plain,
spl30_11,
inference(sat_conversion,[],[f891]) ).
cnf(s33,plain,
~ spl30_18,
inference(sat_conversion,[],[f1202]) ).
cnf(s41,plain,
spl30_46,
inference(sat_conversion,[],[f1384]) ).
cnf(s44,plain,
spl30_47,
inference(sat_conversion,[],[f1406]) ).
cnf(s45,plain,
spl30_48,
inference(sat_conversion,[],[f1418]) ).
cnf(s48,plain,
( ~ spl30_10
| spl30_16
| ~ spl30_46 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s57,plain,
( ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48
| ~ spl30_71
| spl30_72 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s58,plain,
spl30_71,
inference(sat_conversion,[],[f1655]) ).
cnf(s65,plain,
( ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48
| ~ spl30_83
| spl30_84 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s66,plain,
spl30_83,
inference(sat_conversion,[],[f1761]) ).
cnf(s69,plain,
( spl30_1
| ~ spl30_19
| ~ spl30_72
| ~ spl30_83 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s70,plain,
( spl30_2
| ~ spl30_16
| ~ spl30_71
| ~ spl30_84 ),
inference(sat_conversion,[],[f1847]) ).
cnf(s71,plain,
( ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48
| spl30_84 ),
inference(rat,[],[s65,s66]) ).
cnf(s72,plain,
( ~ spl30_3
| spl30_7
| ~ spl30_10
| ~ spl30_11
| ~ spl30_12
| ~ spl30_16
| ~ spl30_17
| spl30_18
| ~ spl30_19
| ~ spl30_46
| ~ spl30_47
| ~ spl30_48
| spl30_72 ),
inference(rat,[],[s57,s58]) ).
cnf(s91,plain,
spl30_16,
inference(rat,[],[s48,s41,s17]) ).
cnf(s92,plain,
( ~ spl30_3
| spl30_7
| spl30_19 ),
inference(rat,[],[s15,s33,s18,s91]) ).
cnf(s94,plain,
spl30_19,
inference(rat,[],[s92,s13,s12]) ).
cnf(s96,plain,
spl30_84,
inference(rat,[],[s71,s12,s45,s44,s41,s13,s33,s18,s91,s14,s19,s17,s94]) ).
cnf(s97,plain,
spl30_72,
inference(rat,[],[s72,s12,s45,s44,s41,s13,s33,s18,s91,s14,s19,s17,s94]) ).
cnf(s98,plain,
spl30_2,
inference(rat,[],[s70,s91,s58,s96]) ).
cnf(s99,plain,
spl30_1,
inference(rat,[],[s69,s66,s94,s97]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s1,s98,s99]) ).
fof(f1848,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT361+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:06:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.81/1.56 % (2742252)Detected formulas, will run a generic FOF schedule.
% 3.81/1.56 % (2742257)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=3290836493:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.81/1.56 % (2742260)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=512621642:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.81/1.56 % (2742258)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=45127388:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.81/1.56 % (2742261)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3552055145:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.81/1.56 % (2742263)dis-21_1_sil=8000:lcm=predicate:random_seed=2084277311: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)
% 3.81/1.56 % (2742259)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=3741541211:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.81/1.56 % (2742260)Refutation not found, incomplete strategy
% 3.81/1.56 % (2742260)------------------------------
% 3.81/1.56 % (2742260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742260)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742260)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.56 % (2742260)Time elapsed: 0.002 s
% 3.81/1.56 % (2742260)Peak memory usage: 88 MB
% 3.81/1.56 % (2742260)Instructions burned: 1 (million)
% 3.81/1.56 % (2742261)Refutation not found, incomplete strategy
% 3.81/1.56 % (2742261)------------------------------
% 3.81/1.56 % (2742261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742261)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742261)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.56 % (2742261)Time elapsed: 0.003 s
% 3.81/1.56 % (2742261)Peak memory usage: 88 MB
% 3.81/1.56 % (2742261)Instructions burned: 4 (million)
% 3.81/1.56 % (2742262)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3694631523:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.81/1.56 % (2742263)Instruction limit reached!
% 3.81/1.56 % (2742263)------------------------------
% 3.81/1.56 % (2742263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742263)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742263)Termination reason: Instruction limit
% 3.81/1.56 % (2742263)Termination phase: Saturation
% 3.81/1.56 % (2742263)Time elapsed: 0.075 s
% 3.81/1.56 % (2742263)Peak memory usage: 91 MB
% 3.81/1.56 % (2742263)Instructions burned: 131 (million)
% 3.81/1.56 % (2742262)Instruction limit reached!
% 3.81/1.56 % (2742262)------------------------------
% 3.81/1.56 % (2742262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742262)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742262)Termination reason: Instruction limit
% 3.81/1.56 % (2742262)Termination phase: Saturation
% 3.81/1.56 % (2742262)Time elapsed: 0.100 s
% 3.81/1.56 % (2742262)Peak memory usage: 90 MB
% 3.81/1.56 % (2742262)Instructions burned: 140 (million)
% 3.81/1.56 % (2742271)lrs+10_1_sil=8000:sp=occurrence:random_seed=3745404822:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.81/1.56 % (2742261)------------------------------
% 3.81/1.56 % (2742261)------------------------------
% 3.81/1.56 % (2742260)------------------------------
% 3.81/1.56 % (2742260)------------------------------
% 3.81/1.56 % (2742272)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1780712332:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.81/1.56 % (2742272)Refutation not found, incomplete strategy
% 3.81/1.56 % (2742272)------------------------------
% 3.81/1.56 % (2742272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742272)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742272)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.56 % (2742272)Time elapsed: 0.005 s
% 3.81/1.56 % (2742272)Peak memory usage: 89 MB
% 3.81/1.56 % (2742272)Instructions burned: 6 (million)
% 3.81/1.56 % (2742271)First to succeed.
% 3.81/1.56 % (2742271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2742252"
% 3.81/1.56 % (2742257)Also succeeded, but the first one will report.
% 3.81/1.56 % (2742274)lrs+1011_1_sil=32000:sp=occurrence:random_seed=528234128:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.81/1.56 % (2742275)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=2289393850:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.81/1.56 % (2742274)Refutation not found, incomplete strategy
% 3.81/1.56 % (2742274)------------------------------
% 3.81/1.56 % (2742274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.56 % (2742274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.56 % (2742274)CaDiCaL version: 2.1.3
% 3.81/1.56 % (2742274)Termination reason: Refutation not found, incomplete strategy
% 3.81/1.56 % (2742274)Time elapsed: 0.003 s
% 3.81/1.56 % (2742274)Peak memory usage: 88 MB
% 3.81/1.56 % (2742274)Instructions burned: 3 (million)
% 3.81/1.56 % (2742272)------------------------------
% 3.81/1.56 % (2742272)------------------------------
% 3.81/1.56 % (2742271)Refutation found. Thanks to Tanya!
% 3.81/1.56 % SZS status Theorem for theBenchmark
% 3.81/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.76 % (2742271)------------------------------
% 5.59/1.76 % (2742271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.76 % (2742271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.76 % (2742271)CaDiCaL version: 2.1.3
% 5.59/1.76 % (2742271)Termination reason: Refutation
% 5.59/1.76 % (2742271)Time elapsed: 0.046 s
% 5.59/1.76 % (2742271)Peak memory usage: 90 MB
% 5.59/1.76 % (2742271)Instructions burned: 70 (million)
% 5.59/1.76 % (2742271)------------------------------
% 5.59/1.76 % (2742271)------------------------------
% 5.59/1.76 % (2742252)Success in time 0.714 s
% 5.59/1.76 % Vampire exiting
%------------------------------------------------------------------------------