%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT377+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:30 AM UTC 2026
% Result : Theorem 20.24s 8.17s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 34
% Syntax : Number of formulae : 255 ( 22 unt; 15 def)
% Number of atoms : 1371 ( 6 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 1834 ( 718 ~; 876 |; 193 &)
% ( 15 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 16 prp; 0-5 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 167 ( 0 sgn 166 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f37699,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( l2_altcat_1(X2)
=> ( ( m1_altcat_2(X0,X1)
& m1_altcat_2(X1,X2) )
=> m1_altcat_2(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_altcat_2) ).
fof(f37716,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ! [X1] :
( m1_altcat_2(X1,X0)
=> l2_altcat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(f43243,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v3_altcat_2(X1,X0)
& m1_altcat_2(X1,X0) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X1)
& m1_altcat_2(X2,X1) )
=> ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X0)
& m1_altcat_2(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_altcat_4) ).
fof(f55577,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( v16_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X0)
& m1_altcat_2(X3,X0) )
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ( r3_yellow20(X0,X1,X2,X3,X4)
=> r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(f55677,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f55678,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f55679,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f55681,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(f55682,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f55683,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k10_waybel34(X0))
& v2_altcat_1(k10_waybel34(X0))
& v6_altcat_1(k10_waybel34(X0))
& v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_waybel34) ).
fof(f55684,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k11_waybel34(X0))
& v2_altcat_1(k11_waybel34(X0))
& v6_altcat_1(k11_waybel34(X0))
& v2_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
& v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
& m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_waybel34) ).
fof(f55711,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f55712,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f55720,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f55722,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/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f55767,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k10_waybel34(X0))
& v2_altcat_1(k10_waybel34(X0))
& v6_altcat_1(k10_waybel34(X0))
& v9_altcat_1(k10_waybel34(X0))
& v11_altcat_1(k10_waybel34(X0))
& v12_altcat_1(k10_waybel34(X0))
& v1_altcat_2(k10_waybel34(X0))
& v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v2_yellow18(k10_waybel34(X0))
& v3_yellow18(k10_waybel34(X0))
& v4_yellow18(k10_waybel34(X0))
& v1_yellow21(k10_waybel34(X0))
& v2_yellow21(k10_waybel34(X0))
& v3_yellow21(k10_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_waybel34) ).
fof(f55775,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_waybel34) ).
fof(f55776,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_waybel34) ).
fof(f55777,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f55776]) ).
fof(f55839,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,[],[f55677]) ).
fof(f55840,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,[],[f55678]) ).
fof(f55841,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,[],[f55679]) ).
fof(f55843,plain,
! [X0] :
( ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55681]) ).
fof(f55844,plain,
! [X0] :
( ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55682]) ).
fof(f55845,plain,
! [X0] :
( ( ~ v3_struct_0(k10_waybel34(X0))
& v2_altcat_1(k10_waybel34(X0))
& v6_altcat_1(k10_waybel34(X0))
& v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55683]) ).
fof(f55846,plain,
! [X0] :
( ( ~ v3_struct_0(k11_waybel34(X0))
& v2_altcat_1(k11_waybel34(X0))
& v6_altcat_1(k11_waybel34(X0))
& v2_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
& v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
& m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55684]) ).
fof(f55899,plain,
! [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)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55711]) ).
fof(f55900,plain,
! [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)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55712]) ).
fof(f55912,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,[],[f55720]) ).
fof(f55914,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,[],[f55722]) ).
fof(f55993,plain,
! [X0] :
( ( ~ v3_struct_0(k10_waybel34(X0))
& v2_altcat_1(k10_waybel34(X0))
& v6_altcat_1(k10_waybel34(X0))
& v9_altcat_1(k10_waybel34(X0))
& v11_altcat_1(k10_waybel34(X0))
& v12_altcat_1(k10_waybel34(X0))
& v1_altcat_2(k10_waybel34(X0))
& v2_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
& v2_yellow18(k10_waybel34(X0))
& v3_yellow18(k10_waybel34(X0))
& v4_yellow18(k10_waybel34(X0))
& v1_yellow21(k10_waybel34(X0))
& v2_yellow21(k10_waybel34(X0))
& v3_yellow21(k10_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55767]) ).
fof(f56004,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0))
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55775]) ).
fof(f56005,plain,
? [X0] :
( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55777]) ).
fof(f56082,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f56090,plain,
! [X0] :
( ! [X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f37716]) ).
fof(f56097,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_altcat_2(X0,X2)
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f37699]) ).
fof(f56098,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_altcat_2(X0,X2)
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) )
| ~ l2_altcat_1(X1) )
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f56097]) ).
fof(f56102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X0)
& m1_altcat_2(X2,X0) )
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,X1)
| ~ m1_altcat_2(X2,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| ~ m1_altcat_2(X1,X0) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f43243]) ).
fof(f56103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X0)
& m1_altcat_2(X2,X0) )
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,X1)
| ~ m1_altcat_2(X2,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| ~ m1_altcat_2(X1,X0) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f56102]) ).
fof(f57542,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1) )
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f55577]) ).
fof(f57543,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1) )
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f57542]) ).
fof(f57659,plain,
( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
& ~ v2_setfam_1(sK58) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f56005]) ).
fof(f58106,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55839]) ).
fof(f58113,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55840]) ).
fof(f58120,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55841]) ).
fof(f58126,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55843]) ).
fof(f58127,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55843]) ).
fof(f58129,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55843]) ).
fof(f58130,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55843]) ).
fof(f58131,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55844]) ).
fof(f58132,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55844]) ).
fof(f58134,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55844]) ).
fof(f58135,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55844]) ).
fof(f58136,plain,
! [X0] :
( m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55845]) ).
fof(f58140,plain,
! [X0] :
( v2_altcat_1(k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55845]) ).
fof(f58141,plain,
! [X0] :
( ~ v3_struct_0(k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55845]) ).
fof(f58142,plain,
! [X0] :
( m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55846]) ).
fof(f58143,plain,
! [X0] :
( v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55846]) ).
fof(f58146,plain,
! [X0] :
( v2_altcat_1(k11_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55846]) ).
fof(f58147,plain,
! [X0] :
( ~ v3_struct_0(k11_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55846]) ).
fof(f58288,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55899]) ).
fof(f58289,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55899]) ).
fof(f58292,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55899]) ).
fof(f58293,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55899]) ).
fof(f58301,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55900]) ).
fof(f58302,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55900]) ).
fof(f58305,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55900]) ).
fof(f58306,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55900]) ).
fof(f58350,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55912]) ).
fof(f58351,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55912]) ).
fof(f58367,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55914]) ).
fof(f58589,plain,
! [X0] :
( v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55993]) ).
fof(f58596,plain,
! [X0] :
( v2_altcat_1(k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55993]) ).
fof(f58597,plain,
! [X0] :
( ~ v3_struct_0(k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55993]) ).
fof(f58626,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f56004]) ).
fof(f58627,plain,
~ v2_setfam_1(sK58),
inference(cnf_transformation,[],[f57659]) ).
fof(f58628,plain,
~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58)),
inference(cnf_transformation,[],[f57659]) ).
fof(f58811,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f56082]) ).
fof(f58822,plain,
! [X0,X1] :
( l2_altcat_1(X1)
| ~ m1_altcat_2(X1,X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f56090]) ).
fof(f58826,plain,
! [X2,X0,X1] :
( m1_altcat_2(X0,X2)
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f56098]) ).
fof(f58831,plain,
! [X2,X0,X1] :
( v3_altcat_2(X2,X0)
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,X1)
| ~ m1_altcat_2(X2,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| ~ m1_altcat_2(X1,X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f56103]) ).
fof(f61186,plain,
! [X2,X3,X0,X1,X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f57543]) ).
fof(f61784,definition,
( spl445_1
<=> r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_1])],[avatar_definition]) ).
fof(f61786,plain,
( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
| spl445_1 ),
inference(avatar_component_clause,[],[f61784]) ).
fof(f61787,plain,
~ spl445_1,
inference(avatar_split_clause,[],[f58628,f61784]) ).
fof(f61789,definition,
( spl445_2
<=> v2_setfam_1(sK58) ),
introduced(definition,[new_symbols(definition,[spl445_2])],[avatar_definition]) ).
fof(f61791,plain,
( ~ v2_setfam_1(sK58)
| spl445_2 ),
inference(avatar_component_clause,[],[f61789]) ).
fof(f61792,plain,
~ spl445_2,
inference(avatar_split_clause,[],[f58627,f61789]) ).
fof(f61869,plain,
( m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58120]) ).
fof(f61890,plain,
( v2_altcat_1(k11_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58146]) ).
fof(f61891,plain,
( ~ v3_struct_0(k11_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58147]) ).
fof(f61911,plain,
( v12_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58288]) ).
fof(f61912,plain,
( v11_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58289]) ).
fof(f61915,plain,
( v2_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58292]) ).
fof(f61916,plain,
( ~ v3_struct_0(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58293]) ).
fof(f61924,plain,
( v12_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58301]) ).
fof(f61925,plain,
( v11_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58302]) ).
fof(f61928,plain,
( v2_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58305]) ).
fof(f61929,plain,
( ~ v3_struct_0(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58306]) ).
fof(f61965,plain,
( v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58350]) ).
fof(f61966,plain,
( v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58351]) ).
fof(f61982,plain,
( k7_waybel34(sK58) = k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58367]) ).
fof(f62041,plain,
( v2_altcat_1(k10_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58596]) ).
fof(f62042,plain,
( ~ v3_struct_0(k10_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58597]) ).
fof(f62068,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61791,f58626]) ).
fof(f62081,plain,
( ~ v1_xboole_0(sK58)
| spl445_2 ),
inference(resolution,[],[f61791,f58811]) ).
fof(f62236,definition,
( spl445_3
<=> r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_3])],[avatar_definition]) ).
fof(f62238,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k10_waybel34(sK58),k11_waybel34(sK58))
| ~ spl445_3 ),
inference(avatar_component_clause,[],[f62236]) ).
fof(f62239,plain,
( spl445_3
| spl445_2 ),
inference(avatar_split_clause,[],[f62068,f61789,f62236]) ).
fof(f62241,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| v3_struct_0(k11_waybel34(sK58))
| ~ v2_altcat_1(k11_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k10_waybel34(sK58))
| ~ v2_altcat_1(k10_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| ~ spl445_3 ),
inference(resolution,[],[f62238,f61186]) ).
fof(f62308,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v2_altcat_1(k11_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k10_waybel34(sK58))
| ~ v2_altcat_1(k10_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62241,f61891]) ).
fof(f62326,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k10_waybel34(sK58))
| ~ v2_altcat_1(k10_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62308,f61890]) ).
fof(f62339,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v2_altcat_1(k10_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62326,f62042]) ).
fof(f62350,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62339,f62041]) ).
fof(f62361,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62350,f61965]) ).
fof(f62372,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62361,f61966]) ).
fof(f62383,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62372,f61869]) ).
fof(f62394,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62383,f61929]) ).
fof(f62405,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62394,f61928]) ).
fof(f62416,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62405,f61925]) ).
fof(f62427,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62416,f61924]) ).
fof(f62438,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62427,f61916]) ).
fof(f62449,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62438,f61915]) ).
fof(f62460,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62449,f61912]) ).
fof(f62463,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62460,f61911]) ).
fof(f62464,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k11_waybel34(sK58),k10_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_2
| ~ spl445_3 ),
inference(forward_demodulation,[],[f62463,f61982]) ).
fof(f62465,plain,
( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_1
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62464,f61786]) ).
fof(f62467,definition,
( spl445_4
<=> l2_altcat_1(k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_4])],[avatar_definition]) ).
fof(f62468,plain,
( l2_altcat_1(k4_waybel34(sK58))
| ~ spl445_4 ),
inference(avatar_component_clause,[],[f62467]) ).
fof(f62469,plain,
( ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_4 ),
inference(avatar_component_clause,[],[f62467]) ).
fof(f62471,definition,
( spl445_5
<=> l2_altcat_1(k5_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_5])],[avatar_definition]) ).
fof(f62472,plain,
( l2_altcat_1(k5_waybel34(sK58))
| ~ spl445_5 ),
inference(avatar_component_clause,[],[f62471]) ).
fof(f62473,plain,
( ~ l2_altcat_1(k5_waybel34(sK58))
| spl445_5 ),
inference(avatar_component_clause,[],[f62471]) ).
fof(f62495,definition,
( spl445_11
<=> v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_11])],[avatar_definition]) ).
fof(f62496,plain,
( ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| spl445_11 ),
inference(avatar_component_clause,[],[f62495]) ).
fof(f62500,definition,
( spl445_12
<=> v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_12])],[avatar_definition]) ).
fof(f62501,plain,
( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| spl445_12 ),
inference(avatar_component_clause,[],[f62500]) ).
fof(f62502,plain,
( v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ spl445_12 ),
inference(avatar_component_clause,[],[f62500]) ).
fof(f62510,definition,
( spl445_14
<=> m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_14])],[avatar_definition]) ).
fof(f62511,plain,
( ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| spl445_14 ),
inference(avatar_component_clause,[],[f62510]) ).
fof(f62514,plain,
( v1_xboole_0(sK58)
| spl445_4 ),
inference(resolution,[],[f62469,f58106]) ).
fof(f62532,plain,
( $false
| spl445_2
| spl445_4 ),
inference(forward_subsumption_resolution,[],[f62514,f62081]) ).
fof(f62533,plain,
( spl445_2
| spl445_4 ),
inference(avatar_contradiction_clause,[],[f62532]) ).
fof(f62544,plain,
( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4 ),
inference(backward_subsumption_resolution,[],[f62465,f62468]) ).
fof(f62545,plain,
( v1_xboole_0(sK58)
| spl445_5 ),
inference(resolution,[],[f62473,f58113]) ).
fof(f62563,plain,
( $false
| spl445_2
| spl445_5 ),
inference(forward_subsumption_resolution,[],[f62545,f62081]) ).
fof(f62564,plain,
( spl445_2
| spl445_5 ),
inference(avatar_contradiction_clause,[],[f62563]) ).
fof(f62569,plain,
( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5 ),
inference(forward_subsumption_resolution,[],[f62544,f62472]) ).
fof(f62643,plain,
( ! [X0] :
( l2_altcat_1(X0)
| ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
| ~ spl445_5 ),
inference(resolution,[],[f62472,f58822]) ).
fof(f62646,plain,
( ! [X0,X1] :
( m1_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,k5_waybel34(sK58))
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0) )
| ~ spl445_5 ),
inference(resolution,[],[f62472,f58826]) ).
fof(f63647,plain,
( ! [X0,X1] :
( m1_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,k5_waybel34(sK58))
| ~ l2_altcat_1(X1) )
| ~ spl445_5 ),
inference(forward_subsumption_resolution,[],[f62646,f58822]) ).
fof(f64123,plain,
( ! [X0,X1] :
( m1_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,k5_waybel34(sK58)) )
| ~ spl445_5 ),
inference(forward_subsumption_resolution,[],[f63647,f62643]) ).
fof(f64895,plain,
( ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58))
| v3_struct_0(k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58)) )
| ~ spl445_4 ),
inference(resolution,[],[f62468,f58831]) ).
fof(f65890,plain,
( ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58))
| ~ v2_altcat_1(k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58)) )
| spl445_2
| ~ spl445_4 ),
inference(forward_subsumption_resolution,[],[f64895,f61916]) ).
fof(f66377,plain,
( ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58))
| ~ v11_altcat_1(k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58)) )
| spl445_2
| ~ spl445_4 ),
inference(forward_subsumption_resolution,[],[f65890,f61915]) ).
fof(f66719,plain,
( ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58)) )
| spl445_2
| ~ spl445_4 ),
inference(forward_subsumption_resolution,[],[f66377,f61912]) ).
fof(f66941,plain,
( ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58)) )
| spl445_2
| ~ spl445_4 ),
inference(forward_subsumption_resolution,[],[f66719,f61911]) ).
fof(f67546,definition,
( spl445_26
<=> m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_26])],[avatar_definition]) ).
fof(f67547,plain,
( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl445_26 ),
inference(avatar_component_clause,[],[f67546]) ).
fof(f67607,definition,
( spl445_31
<=> ! [X0,X1] :
( v3_altcat_2(X0,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_31])],[avatar_definition]) ).
fof(f67608,plain,
( ! [X0,X1] :
( ~ v3_altcat_2(X1,k4_waybel34(sK58))
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| v3_altcat_2(X0,k4_waybel34(sK58))
| ~ m1_altcat_2(X1,k4_waybel34(sK58)) )
| ~ spl445_31 ),
inference(avatar_component_clause,[],[f67607]) ).
fof(f67609,plain,
( spl445_31
| spl445_2
| ~ spl445_4 ),
inference(avatar_split_clause,[],[f66941,f62467,f61789,f67607]) ).
fof(f67614,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| v1_xboole_0(sK58) )
| ~ spl445_31 ),
inference(resolution,[],[f67608,f58127]) ).
fof(f67633,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| v1_xboole_0(sK58) )
| ~ spl445_31 ),
inference(forward_subsumption_resolution,[],[f67614,f58130]) ).
fof(f67641,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| v1_xboole_0(sK58) )
| ~ spl445_31 ),
inference(forward_subsumption_resolution,[],[f67633,f58129]) ).
fof(f67649,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58))
| v1_xboole_0(sK58) )
| ~ spl445_31 ),
inference(forward_subsumption_resolution,[],[f67641,f58126]) ).
fof(f67657,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58)) )
| spl445_2
| ~ spl445_31 ),
inference(forward_subsumption_resolution,[],[f67649,f62081]) ).
fof(f67783,definition,
( spl445_40
<=> ! [X0,X1] :
( m1_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,X1)
| ~ m1_altcat_2(X1,k5_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_40])],[avatar_definition]) ).
fof(f67784,plain,
( ! [X0,X1] :
( ~ m1_altcat_2(X1,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,X1)
| m1_altcat_2(X0,k5_waybel34(sK58)) )
| ~ spl445_40 ),
inference(avatar_component_clause,[],[f67783]) ).
fof(f67785,plain,
( spl445_40
| ~ spl445_5 ),
inference(avatar_split_clause,[],[f64123,f62471,f67783]) ).
fof(f67791,plain,
( ! [X0] :
( ~ m1_altcat_2(X0,k9_waybel34(sK58))
| m1_altcat_2(X0,k5_waybel34(sK58))
| v2_setfam_1(sK58) )
| ~ spl445_40 ),
inference(resolution,[],[f67784,f58131]) ).
fof(f67818,plain,
( ! [X0] :
( ~ m1_altcat_2(X0,k9_waybel34(sK58))
| m1_altcat_2(X0,k5_waybel34(sK58)) )
| spl445_2
| ~ spl445_40 ),
inference(forward_subsumption_resolution,[],[f67791,f61791]) ).
fof(f73811,definition,
( spl445_111
<=> ! [X0] :
( ~ m1_altcat_2(X0,k9_waybel34(sK58))
| m1_altcat_2(X0,k5_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_111])],[avatar_definition]) ).
fof(f73812,plain,
( ! [X0] :
( ~ m1_altcat_2(X0,k9_waybel34(sK58))
| m1_altcat_2(X0,k5_waybel34(sK58)) )
| ~ spl445_111 ),
inference(avatar_component_clause,[],[f73811]) ).
fof(f73813,plain,
( spl445_111
| spl445_2
| ~ spl445_40 ),
inference(avatar_split_clause,[],[f67818,f67783,f61789,f73811]) ).
fof(f73819,plain,
( m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_111 ),
inference(resolution,[],[f73812,f58142]) ).
fof(f73858,plain,
( m1_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| spl445_2
| ~ spl445_111 ),
inference(forward_subsumption_resolution,[],[f73819,f61791]) ).
fof(f73869,plain,
( ~ v3_altcat_2(k11_waybel34(sK58),k5_waybel34(sK58))
| ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5
| ~ spl445_111 ),
inference(backward_subsumption_resolution,[],[f62569,f73858]) ).
fof(f75593,plain,
( ! [X0] :
( v3_struct_0(k11_waybel34(sK58))
| ~ v2_altcat_1(k11_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_12 ),
inference(resolution,[],[f62501,f58831]) ).
fof(f75608,plain,
( ! [X0] :
( ~ v2_altcat_1(k11_waybel34(sK58))
| ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75593,f61891]) ).
fof(f75614,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| v3_struct_0(k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75608,f61890]) ).
fof(f75617,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| ~ v2_altcat_1(k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75614,f61929]) ).
fof(f75620,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| ~ v11_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75617,f61928]) ).
fof(f75623,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| ~ v12_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75620,f61925]) ).
fof(f75626,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58)) )
| spl445_2
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75623,f61924]) ).
fof(f75629,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
| spl445_2
| ~ spl445_5
| spl445_12 ),
inference(forward_subsumption_resolution,[],[f75626,f62472]) ).
fof(f75637,definition,
( spl445_114
<=> ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_114])],[avatar_definition]) ).
fof(f75638,plain,
( ! [X0] :
( ~ v3_altcat_2(k11_waybel34(sK58),X0)
| ~ m1_altcat_2(k11_waybel34(sK58),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK58))
| ~ m1_altcat_2(X0,k5_waybel34(sK58)) )
| ~ spl445_114 ),
inference(avatar_component_clause,[],[f75637]) ).
fof(f75639,plain,
( spl445_114
| spl445_2
| ~ spl445_5
| spl445_12 ),
inference(avatar_split_clause,[],[f75629,f62500,f62471,f61789,f75637]) ).
fof(f75640,plain,
( ~ v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5
| ~ spl445_12
| ~ spl445_111 ),
inference(backward_subsumption_resolution,[],[f73869,f62502]) ).
fof(f76022,plain,
( ~ spl445_14
| ~ spl445_11
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5
| ~ spl445_12
| ~ spl445_111 ),
inference(avatar_split_clause,[],[f75640,f73811,f62500,f62471,f62467,f62236,f61789,f61784,f62495,f62510]) ).
fof(f76080,plain,
( ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(k10_waybel34(sK58)) )
| spl445_14 ),
inference(resolution,[],[f62511,f58826]) ).
fof(f76095,plain,
( ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(X0) )
| spl445_14 ),
inference(forward_subsumption_resolution,[],[f76080,f58822]) ).
fof(f76102,plain,
( ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58)) )
| spl445_14 ),
inference(forward_subsumption_resolution,[],[f76095,f58822]) ).
fof(f76106,plain,
( ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
| ~ spl445_4
| spl445_14 ),
inference(forward_subsumption_resolution,[],[f76102,f62468]) ).
fof(f76123,definition,
( spl445_116
<=> ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_116])],[avatar_definition]) ).
fof(f76124,plain,
( ! [X0] :
( ~ m1_altcat_2(k10_waybel34(sK58),X0)
| ~ m1_altcat_2(X0,k4_waybel34(sK58)) )
| ~ spl445_116 ),
inference(avatar_component_clause,[],[f76123]) ).
fof(f76125,plain,
( spl445_116
| ~ spl445_4
| spl445_14 ),
inference(avatar_split_clause,[],[f76106,f62510,f62467,f76123]) ).
fof(f76134,plain,
( ~ m1_altcat_2(k11_waybel34(sK58),k9_waybel34(sK58))
| v3_struct_0(k9_waybel34(sK58))
| ~ v2_altcat_1(k9_waybel34(sK58))
| ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(resolution,[],[f75638,f58143]) ).
fof(f76152,plain,
( v3_struct_0(k9_waybel34(sK58))
| ~ v2_altcat_1(k9_waybel34(sK58))
| ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76134,f58142]) ).
fof(f76157,plain,
( ~ v2_altcat_1(k9_waybel34(sK58))
| ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76152,f58135]) ).
fof(f76161,plain,
( ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76157,f58134]) ).
fof(f76165,plain,
( ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76161,f58132]) ).
fof(f76169,plain,
( v2_setfam_1(sK58)
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76165,f58131]) ).
fof(f76173,plain,
( $false
| spl445_2
| ~ spl445_114 ),
inference(forward_subsumption_resolution,[],[f76169,f61791]) ).
fof(f76174,plain,
( spl445_2
| ~ spl445_114 ),
inference(avatar_contradiction_clause,[],[f76173]) ).
fof(f76780,plain,
( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_116 ),
inference(resolution,[],[f76124,f58136]) ).
fof(f76794,plain,
( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl445_2
| ~ spl445_116 ),
inference(forward_subsumption_resolution,[],[f76780,f61791]) ).
fof(f76988,plain,
( ~ spl445_26
| spl445_2
| ~ spl445_116 ),
inference(avatar_split_clause,[],[f76794,f76123,f61789,f67546]) ).
fof(f76989,plain,
( v1_xboole_0(sK58)
| spl445_26 ),
inference(resolution,[],[f67547,f58126]) ).
fof(f77066,plain,
( $false
| spl445_2
| spl445_26 ),
inference(forward_subsumption_resolution,[],[f76989,f62081]) ).
fof(f77067,plain,
( spl445_2
| spl445_26 ),
inference(avatar_contradiction_clause,[],[f77066]) ).
fof(f109706,definition,
( spl445_315
<=> ! [X0] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58)) ) ),
introduced(definition,[new_symbols(definition,[spl445_315])],[avatar_definition]) ).
fof(f109707,plain,
( ! [X0] :
( ~ v3_altcat_2(X0,k8_waybel34(sK58))
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ m1_altcat_2(X0,k8_waybel34(sK58))
| v3_altcat_2(X0,k4_waybel34(sK58)) )
| ~ spl445_315 ),
inference(avatar_component_clause,[],[f109706]) ).
fof(f109708,plain,
( spl445_315
| spl445_2
| ~ spl445_31 ),
inference(avatar_split_clause,[],[f67657,f67607,f61789,f109706]) ).
fof(f109713,plain,
( ~ v2_altcat_1(k10_waybel34(sK58))
| v3_struct_0(k10_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k8_waybel34(sK58))
| v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_315 ),
inference(resolution,[],[f109707,f58589]) ).
fof(f109748,plain,
( v3_struct_0(k10_waybel34(sK58))
| ~ m1_altcat_2(k10_waybel34(sK58),k8_waybel34(sK58))
| v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_315 ),
inference(forward_subsumption_resolution,[],[f109713,f58140]) ).
fof(f109758,plain,
( ~ m1_altcat_2(k10_waybel34(sK58),k8_waybel34(sK58))
| v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_315 ),
inference(forward_subsumption_resolution,[],[f109748,f58141]) ).
fof(f109767,plain,
( v3_altcat_2(k10_waybel34(sK58),k4_waybel34(sK58))
| v2_setfam_1(sK58)
| ~ spl445_315 ),
inference(forward_subsumption_resolution,[],[f109758,f58136]) ).
fof(f109776,plain,
( v2_setfam_1(sK58)
| spl445_11
| ~ spl445_315 ),
inference(forward_subsumption_resolution,[],[f109767,f62496]) ).
fof(f109784,plain,
( $false
| spl445_2
| spl445_11
| ~ spl445_315 ),
inference(forward_subsumption_resolution,[],[f109776,f61791]) ).
fof(f109785,plain,
( spl445_2
| spl445_11
| ~ spl445_315 ),
inference(avatar_contradiction_clause,[],[f109784]) ).
cnf(s1,plain,
~ spl445_1,
inference(sat_conversion,[],[f61787]) ).
cnf(s2,plain,
~ spl445_2,
inference(sat_conversion,[],[f61792]) ).
cnf(s3,plain,
( spl445_2
| spl445_3 ),
inference(sat_conversion,[],[f62239]) ).
cnf(s8,plain,
( spl445_2
| spl445_4 ),
inference(sat_conversion,[],[f62533]) ).
cnf(s9,plain,
( spl445_2
| spl445_5 ),
inference(sat_conversion,[],[f62564]) ).
cnf(s17,plain,
( spl445_2
| ~ spl445_4
| spl445_31 ),
inference(sat_conversion,[],[f67609]) ).
cnf(s26,plain,
( ~ spl445_5
| spl445_40 ),
inference(sat_conversion,[],[f67785]) ).
cnf(s96,plain,
( spl445_2
| ~ spl445_40
| spl445_111 ),
inference(sat_conversion,[],[f73813]) ).
cnf(s101,plain,
( spl445_2
| ~ spl445_5
| spl445_12
| spl445_114 ),
inference(sat_conversion,[],[f75639]) ).
cnf(s102,plain,
( spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5
| ~ spl445_11
| ~ spl445_12
| ~ spl445_14
| ~ spl445_111 ),
inference(sat_conversion,[],[f76022]) ).
cnf(s104,plain,
( ~ spl445_4
| spl445_14
| spl445_116 ),
inference(sat_conversion,[],[f76125]) ).
cnf(s105,plain,
( spl445_2
| ~ spl445_114 ),
inference(sat_conversion,[],[f76174]) ).
cnf(s108,plain,
( spl445_2
| ~ spl445_26
| ~ spl445_116 ),
inference(sat_conversion,[],[f76988]) ).
cnf(s109,plain,
( spl445_2
| spl445_26 ),
inference(sat_conversion,[],[f77067]) ).
cnf(s308,plain,
( spl445_2
| ~ spl445_31
| spl445_315 ),
inference(sat_conversion,[],[f109708]) ).
cnf(s311,plain,
( spl445_2
| spl445_11
| ~ spl445_315 ),
inference(sat_conversion,[],[f109785]) ).
cnf(s340,plain,
spl445_26,
inference(rat,[],[s109,s2]) ).
cnf(s341,plain,
~ spl445_114,
inference(rat,[],[s105,s2]) ).
cnf(s358,plain,
spl445_5,
inference(rat,[],[s9,s2]) ).
cnf(s359,plain,
spl445_4,
inference(rat,[],[s8,s2]) ).
cnf(s360,plain,
spl445_3,
inference(rat,[],[s3,s2]) ).
cnf(s361,plain,
~ spl445_116,
inference(rat,[],[s108,s2,s340]) ).
cnf(s386,plain,
spl445_12,
inference(rat,[],[s101,s341,s2,s358]) ).
cnf(s408,plain,
spl445_40,
inference(rat,[],[s26,s358]) ).
cnf(s433,plain,
spl445_14,
inference(rat,[],[s104,s361,s359]) ).
cnf(s467,plain,
spl445_31,
inference(rat,[],[s17,s2,s359]) ).
cnf(s478,plain,
spl445_111,
inference(rat,[],[s96,s2,s408]) ).
cnf(s493,plain,
spl445_315,
inference(rat,[],[s308,s2,s467]) ).
cnf(s540,plain,
spl445_11,
inference(rat,[],[s311,s2,s493]) ).
cnf(s565,plain,
spl445_1,
inference(rat,[],[s102,s478,s433,s386,s360,s358,s359,s2,s540]) ).
cnf(s602,plain,
$false,
inference(rat,[],[s1,s565]) ).
fof(f109788,plain,
$false,
inference(avatar_sat_refutation,[],[s602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT377+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 15:10:00 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.84/3.72 % (2488691)Detected formulas, will run a generic FOF schedule.
% 11.84/3.72 % (2488696)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=1504285584:i=141193_2983 on theBenchmark for (2983ds/141193Mi)
% 11.84/3.72 % (2488697)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=2804542184:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2983 on theBenchmark for (2983ds/134677Mi)
% 11.84/3.72 % (2488698)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=976777834:i=141695:sd=1:nm=32:gsp=on:ss=included_2983 on theBenchmark for (2983ds/141695Mi)
% 11.84/3.72 % (2488702)dis-21_1_sil=8000:lcm=predicate:random_seed=3090929548:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2983 on theBenchmark for (2983ds/129Mi)
% 11.84/3.72 % (2488699)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1825604663:i=109:sd=1:ins=1:gsp=on:ss=axioms_2983 on theBenchmark for (2983ds/109Mi)
% 11.84/3.72 % (2488700)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=129587019:i=119:av=off:ss=axioms_2983 on theBenchmark for (2983ds/119Mi)
% 11.84/3.72 % (2488701)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2408174658:s2a=on:i=139:gtg=position_2983 on theBenchmark for (2983ds/139Mi)
% 11.84/3.72 % (2488701)Instruction limit reached!
% 11.84/3.72 % (2488701)------------------------------
% 11.84/3.72 % (2488701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/3.72 % (2488701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/3.72 % (2488701)CaDiCaL version: 2.1.3
% 11.84/3.72 % (2488701)Termination reason: Instruction limit
% 11.84/3.72 % (2488701)Termination phase: Property scanning
% 11.84/3.72 % (2488701)Time elapsed: 0.037 s
% 11.84/3.72 % (2488701)Peak memory usage: 173 MB
% 11.84/3.72 % (2488701)Instructions burned: 141 (million)
% 11.84/3.72 % (2488699)Instruction limit reached!
% 11.84/3.72 % (2488699)------------------------------
% 11.84/3.72 % (2488699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/3.72 % (2488699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/3.72 % (2488699)CaDiCaL version: 2.1.3
% 11.84/3.72 % (2488699)Termination reason: Instruction limit
% 11.84/3.72 % (2488699)Termination phase: SInE selection
% 11.84/3.72 % (2488699)Time elapsed: 0.048 s
% 11.84/3.72 % (2488699)Peak memory usage: 173 MB
% 11.84/3.72 % (2488699)Instructions burned: 111 (million)
% 11.84/3.72 % (2488700)Instruction limit reached!
% 11.84/3.72 % (2488700)------------------------------
% 11.84/3.72 % (2488700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/3.72 % (2488700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/3.72 % (2488700)CaDiCaL version: 2.1.3
% 11.84/3.72 % (2488700)Termination reason: Instruction limit
% 11.84/3.72 % (2488700)Termination phase: SInE selection
% 11.84/3.72 % (2488700)Time elapsed: 0.052 s
% 11.84/3.72 % (2488700)Peak memory usage: 173 MB
% 11.84/3.72 % (2488700)Instructions burned: 121 (million)
% 11.84/3.72 % (2488702)Instruction limit reached!
% 11.84/3.72 % (2488702)------------------------------
% 11.84/3.72 % (2488702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.84/3.72 % (2488702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.84/3.72 % (2488702)CaDiCaL version: 2.1.3
% 11.84/3.72 % (2488702)Termination reason: Instruction limit
% 11.84/3.72 % (2488702)Termination phase: SInE selection
% 11.84/3.72 % (2488702)Time elapsed: 0.056 s
% 11.84/3.72 % (2488702)Peak memory usage: 173 MB
% 11.84/3.72 % (2488702)Instructions burned: 131 (million)
% 11.84/3.72 % (2488711)lrs+10_1_sil=32000:urr=on:br=off:random_seed=138372816:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 11.84/3.72 % (2488710)lrs+10_1_sil=8000:sp=occurrence:random_seed=3654551778:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 11.84/3.72 % (2488712)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1203913741:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 11.84/3.72 % (2488713)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=3739791176:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 11.84/3.72 % (2488711)Instruction limit reached!
% 16.89/4.43 % (2488711)------------------------------
% 16.89/4.43 % (2488711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488711)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488711)Termination reason: Instruction limit
% 16.89/4.43 % (2488711)Termination phase: Property scanning
% 16.89/4.43 % (2488711)Time elapsed: 0.040 s
% 16.89/4.43 % (2488711)Peak memory usage: 173 MB
% 16.89/4.43 % (2488711)Instructions burned: 159 (million)
% 16.89/4.43 % (2488713)Instruction limit reached!
% 16.89/4.43 % (2488713)------------------------------
% 16.89/4.43 % (2488713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488713)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488713)Termination reason: Instruction limit
% 16.89/4.43 % (2488713)Termination phase: Property scanning
% 16.89/4.43 % (2488713)Time elapsed: 0.059 s
% 16.89/4.43 % (2488713)Peak memory usage: 173 MB
% 16.89/4.43 % (2488713)Instructions burned: 250 (million)
% 16.89/4.43 % (2488710)Instruction limit reached!
% 16.89/4.43 % (2488710)------------------------------
% 16.89/4.43 % (2488710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488710)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488710)Termination reason: Instruction limit
% 16.89/4.43 % (2488710)Termination phase: SInE selection
% 16.89/4.43 % (2488710)Time elapsed: 0.125 s
% 16.89/4.43 % (2488710)Peak memory usage: 173 MB
% 16.89/4.43 % (2488710)Instructions burned: 285 (million)
% 16.89/4.43 % (2488712)Instruction limit reached!
% 16.89/4.43 % (2488712)------------------------------
% 16.89/4.43 % (2488712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488712)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488712)Termination reason: Instruction limit
% 16.89/4.43 % (2488712)Termination phase: SInE selection
% 16.89/4.43 % (2488712)Time elapsed: 0.144 s
% 16.89/4.43 % (2488712)Peak memory usage: 173 MB
% 16.89/4.43 % (2488712)Instructions burned: 326 (million)
% 16.89/4.43 % (2488718)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3024840439:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2980 on theBenchmark for (2980ds/294Mi)
% 16.89/4.43 % (2488719)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1482925187:i=2350_2979 on theBenchmark for (2979ds/2350Mi)
% 16.89/4.43 % (2488720)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=52680858:cts=off:i=113:fsr=off:ss=included:sgt=4_2979 on theBenchmark for (2979ds/113Mi)
% 16.89/4.43 % (2488721)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=49350776:i=127:av=off:fsr=off:sup=off_2979 on theBenchmark for (2979ds/127Mi)
% 16.89/4.43 % (2488720)Instruction limit reached!
% 16.89/4.43 % (2488720)------------------------------
% 16.89/4.43 % (2488720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488720)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488720)Termination reason: Instruction limit
% 16.89/4.43 % (2488720)Termination phase: SInE selection
% 16.89/4.43 % (2488720)Time elapsed: 0.051 s
% 16.89/4.43 % (2488720)Peak memory usage: 173 MB
% 16.89/4.43 % (2488720)Instructions burned: 114 (million)
% 16.89/4.43 % (2488718)Instruction limit reached!
% 16.89/4.43 % (2488718)------------------------------
% 16.89/4.43 % (2488718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488718)CaDiCaL version: 2.1.3
% 16.89/4.43 % (2488718)Termination reason: Instruction limit
% 16.89/4.43 % (2488718)Termination phase: SInE selection
% 16.89/4.43 % (2488718)Time elapsed: 0.127 s
% 16.89/4.43 % (2488718)Peak memory usage: 174 MB
% 16.89/4.43 % (2488718)Instructions burned: 297 (million)
% 16.89/4.43 % (2488721)Instruction limit reached!
% 16.89/4.43 % (2488721)------------------------------
% 16.89/4.43 % (2488721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/4.43 % (2488721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/4.43 % (2488721)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488721)Termination reason: Instruction limit
% 42.90/8.08 % (2488721)Termination phase: Preprocessing 1
% 42.90/8.08 % (2488721)Time elapsed: 0.060 s
% 42.90/8.08 % (2488721)Peak memory usage: 174 MB
% 42.90/8.08 % (2488721)Instructions burned: 129 (million)
% 42.90/8.08 % (2488726)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3512876241:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 42.90/8.08 % (2488727)lrs+10_1_sil=8000:sp=occurrence:random_seed=610650331:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2977 on theBenchmark for (2977ds/907Mi)
% 42.90/8.08 % (2488726)Instruction limit reached!
% 42.90/8.08 % (2488726)------------------------------
% 42.90/8.08 % (2488726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.90/8.08 % (2488726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/8.08 % (2488726)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488726)Termination reason: Instruction limit
% 42.90/8.08 % (2488726)Termination phase: Property scanning
% 42.90/8.08 % (2488726)Time elapsed: 0.031 s
% 42.90/8.08 % (2488726)Peak memory usage: 173 MB
% 42.90/8.08 % (2488726)Instructions burned: 114 (million)
% 42.90/8.08 % (2488728)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2761168439:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 42.90/8.08 % (2488731)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=146852359:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 42.90/8.08 % (2488728)Instruction limit reached!
% 42.90/8.08 % (2488728)------------------------------
% 42.90/8.08 % (2488728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.90/8.08 % (2488728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/8.08 % (2488728)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488728)Termination reason: Instruction limit
% 42.90/8.08 % (2488728)Termination phase: Preprocessing 1
% 42.90/8.08 % (2488728)Time elapsed: 0.216 s
% 42.90/8.08 % (2488728)Peak memory usage: 175 MB
% 42.90/8.08 % (2488728)Instructions burned: 437 (million)
% 42.90/8.08 % (2488734)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1698772803:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2973 on theBenchmark for (2973ds/134Mi)
% 42.90/8.08 % (2488727)Instruction limit reached!
% 42.90/8.08 % (2488727)------------------------------
% 42.90/8.08 % (2488727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.90/8.08 % (2488727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/8.08 % (2488727)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488727)Termination reason: Instruction limit
% 42.90/8.08 % (2488727)Termination phase: Preprocessing 2
% 42.90/8.08 % (2488727)Time elapsed: 0.445 s
% 42.90/8.08 % (2488727)Peak memory usage: 190 MB
% 42.90/8.08 % (2488727)Instructions burned: 908 (million)
% 42.90/8.08 % (2488734)Instruction limit reached!
% 42.90/8.08 % (2488734)------------------------------
% 42.90/8.08 % (2488734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.90/8.08 % (2488734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/8.08 % (2488734)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488734)Termination reason: Instruction limit
% 42.90/8.08 % (2488734)Termination phase: SInE selection
% 42.90/8.08 % (2488734)Time elapsed: 0.064 s
% 42.90/8.08 % (2488734)Peak memory usage: 173 MB
% 42.90/8.08 % (2488734)Instructions burned: 135 (million)
% 42.90/8.08 % (2488736)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3930360360:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 42.90/8.08 % (2488737)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1550501589:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 42.90/8.08 % (2488719)Instruction limit reached!
% 42.90/8.08 % (2488719)------------------------------
% 42.90/8.08 % (2488719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.90/8.08 % (2488719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.90/8.08 % (2488719)CaDiCaL version: 2.1.3
% 42.90/8.08 % (2488719)Termination reason: Instruction limit
% 42.90/8.08 % (2488719)Termination phase: Preprocessing 3
% 42.90/8.08 % (2488719)Time elapsed: 0.999 s
% 42.90/8.08 % (2488719)Peak memory usage: 276 MB
% 42.90/8.08 % (2488719)Instructions burned: 2351 (million)
% 42.90/8.08 % (2488736)Instruction limit reached!
% 42.90/8.08 % (2488736)------------------------------
% 42.90/8.08 % (2488736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488736)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488736)Termination reason: Instruction limit
% 20.24/8.17 % (2488736)Termination phase: SInE selection
% 20.24/8.17 % (2488736)Time elapsed: 0.226 s
% 20.24/8.17 % (2488736)Peak memory usage: 175 MB
% 20.24/8.17 % (2488736)Instructions burned: 594 (million)
% 20.24/8.17 % (2488740)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4075028492:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 20.24/8.17 % (2488740)Instruction limit reached!
% 20.24/8.17 % (2488740)------------------------------
% 20.24/8.17 % (2488740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488740)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488740)Termination reason: Instruction limit
% 20.24/8.17 % (2488740)Termination phase: Property scanning
% 20.24/8.17 % (2488740)Time elapsed: 0.033 s
% 20.24/8.17 % (2488740)Peak memory usage: 173 MB
% 20.24/8.17 % (2488740)Instructions burned: 126 (million)
% 20.24/8.17 % (2488741)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1098501510:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 20.24/8.17 % (2488741)Instruction limit reached!
% 20.24/8.17 % (2488741)------------------------------
% 20.24/8.17 % (2488741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488741)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488741)Termination reason: Instruction limit
% 20.24/8.17 % (2488741)Termination phase: Property scanning
% 20.24/8.17 % (2488741)Time elapsed: 0.036 s
% 20.24/8.17 % (2488741)Peak memory usage: 173 MB
% 20.24/8.17 % (2488741)Instructions burned: 136 (million)
% 20.24/8.17 % (2488744)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4235523975:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 20.24/8.17 % (2488746)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1334542153:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 20.24/8.17 % (2488744)Instruction limit reached!
% 20.24/8.17 % (2488744)------------------------------
% 20.24/8.17 % (2488744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488744)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488744)Termination reason: Instruction limit
% 20.24/8.17 % (2488744)Termination phase: SInE selection
% 20.24/8.17 % (2488744)Time elapsed: 0.063 s
% 20.24/8.17 % (2488744)Peak memory usage: 173 MB
% 20.24/8.17 % (2488744)Instructions burned: 141 (million)
% 20.24/8.17 % (2488761)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2770530620:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 20.24/8.17 % (2488746)Instruction limit reached!
% 20.24/8.17 % (2488746)------------------------------
% 20.24/8.17 % (2488746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488746)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488746)Termination reason: Instruction limit
% 20.24/8.17 % (2488746)Termination phase: Unused predicate definition removal
% 20.24/8.17 % (2488746)Time elapsed: 0.204 s
% 20.24/8.17 % (2488746)Peak memory usage: 177 MB
% 20.24/8.17 % (2488746)Instructions burned: 431 (million)
% 20.24/8.17 % (2488817)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1002710926:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2962 on theBenchmark for (2962ds/150Mi)
% 20.24/8.17 % (2488817)Instruction limit reached!
% 20.24/8.17 % (2488817)------------------------------
% 20.24/8.17 % (2488817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488817)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488817)Termination reason: Instruction limit
% 20.24/8.17 % (2488817)Termination phase: SInE selection
% 20.24/8.17 % (2488817)Time elapsed: 0.067 s
% 20.24/8.17 % (2488817)Peak memory usage: 173 MB
% 20.24/8.17 % (2488817)Instructions burned: 151 (million)
% 20.24/8.17 % (2488868)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1305385232:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 20.24/8.17 % (2488731)Instruction limit reached!
% 20.24/8.17 % (2488731)------------------------------
% 20.24/8.17 % (2488731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488731)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488731)Termination reason: Instruction limit
% 20.24/8.17 % (2488731)Termination phase: Property scanning
% 20.24/8.17 % (2488731)Time elapsed: 2.023 s
% 20.24/8.17 % (2488731)Peak memory usage: 297 MB
% 20.24/8.17 % (2488731)Instructions burned: 5204 (million)
% 20.24/8.17 % (2488971)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1891060735:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 20.24/8.17 % (2488971)Instruction limit reached!
% 20.24/8.17 % (2488971)------------------------------
% 20.24/8.17 % (2488971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488971)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488971)Termination reason: Instruction limit
% 20.24/8.17 % (2488971)Termination phase: Preprocessing 2
% 20.24/8.17 % (2488971)Time elapsed: 0.480 s
% 20.24/8.17 % (2488971)Peak memory usage: 215 MB
% 20.24/8.17 % (2488971)Instructions burned: 667 (million)
% 20.24/8.17 % (2489013)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3251888085:s2a=on:i=185:s2at=1.8:fdi=4_2947 on theBenchmark for (2947ds/185Mi)
% 20.24/8.17 % (2489013)Instruction limit reached!
% 20.24/8.17 % (2489013)------------------------------
% 20.24/8.17 % (2489013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2489013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2489013)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2489013)Termination reason: Instruction limit
% 20.24/8.17 % (2489013)Termination phase: SInE selection
% 20.24/8.17 % (2489013)Time elapsed: 0.089 s
% 20.24/8.17 % (2489013)Peak memory usage: 173 MB
% 20.24/8.17 % (2489013)Instructions burned: 188 (million)
% 20.24/8.17 % (2489099)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=556476249:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2945 on theBenchmark for (2945ds/193Mi)
% 20.24/8.17 % (2489099)Instruction limit reached!
% 20.24/8.17 % (2489099)------------------------------
% 20.24/8.17 % (2489099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2489099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2489099)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2489099)Termination reason: Instruction limit
% 20.24/8.17 % (2489099)Termination phase: SInE selection
% 20.24/8.17 % (2489099)Time elapsed: 0.092 s
% 20.24/8.17 % (2489099)Peak memory usage: 173 MB
% 20.24/8.17 % (2489099)Instructions burned: 194 (million)
% 20.24/8.17 % (2489140)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3661728142:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2942 on theBenchmark for (2942ds/4850Mi)
% 20.24/8.17 % (2488761)Instruction limit reached!
% 20.24/8.17 % (2488761)------------------------------
% 20.24/8.17 % (2488761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2488761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2488761)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2488761)Termination reason: Instruction limit
% 20.24/8.17 % (2488761)Termination phase: NewCNF
% 20.24/8.17 % (2488761)Time elapsed: 2.781 s
% 20.24/8.17 % (2488761)Peak memory usage: 331 MB
% 20.24/8.17 % (2488761)Instructions burned: 6060 (million)
% 20.24/8.17 % (2489171)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2911287810:i=12111:sd=1:ss=included_2935 on theBenchmark for (2935ds/12111Mi)
% 20.24/8.17 % (2488698)First to succeed.
% 20.24/8.17 % (2488698)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2488691"
% 20.24/8.17 % (2489140)Instruction limit reached!
% 20.24/8.17 % (2489140)------------------------------
% 20.24/8.17 % (2489140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/8.17 % (2489140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/8.17 % (2489140)CaDiCaL version: 2.1.3
% 20.24/8.17 % (2489140)Termination reason: Instruction limit
% 20.24/8.17 % (2489140)Termination phase: Function definition elimination
% 20.24/8.17 % (2489140)Time elapsed: 1.736 s
% 20.24/8.17 % (2489140)Peak memory usage: 295 MB
% 20.24/8.17 % (2489140)Instructions burned: 4851 (million)
% 20.24/8.17 % (2488698)Refutation found. Thanks to Tanya!
% 20.24/8.17 % SZS status Theorem for theBenchmark
% 20.24/8.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/8.30 % (2488698)------------------------------
% 0.06/8.30 % (2488698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.06/8.30 % (2488698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/8.30 % (2488698)CaDiCaL version: 2.1.3
% 0.06/8.30 % (2488698)Termination reason: Refutation
% 0.06/8.30 % (2488698)Time elapsed: 5.614 s
% 0.06/8.30 % (2488698)Peak memory usage: 333 MB
% 0.06/8.30 % (2488698)Instructions burned: 17493 (million)
% 0.06/8.30 % (2488698)------------------------------
% 0.06/8.30 % (2488698)------------------------------
% 0.06/8.30 % (2488691)Success in time 7.641 s
% 0.06/8.30 % Vampire exiting
%------------------------------------------------------------------------------