%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT376+2 : 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 : n013.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 11:47:29 AM UTC 2026
% Result : Theorem 6.63s 2.32s
% Output : Refutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 86 ( 4 unt; 0 def)
% Number of atoms : 604 ( 5 equ)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 834 ( 316 ~; 403 |; 92 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 143 ( 142 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f451,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f10217,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(f10317,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(f10318,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(f10319,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(f10321,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(f10322,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(f10360,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(f10362,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(f10413,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_waybel34) ).
fof(f10414,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_waybel34) ).
fof(f10415,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f10414]) ).
fof(f10444,plain,
! [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))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f10360]) ).
fof(f10446,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f10444]) ).
fof(f10449,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f10446]) ).
fof(f10451,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f10449]) ).
fof(f10452,plain,
! [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))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f10451]) ).
fof(f10461,plain,
? [X0] :
( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10415]) ).
fof(f10464,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f451]) ).
fof(f10465,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f10413]) ).
fof(f10468,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,[],[f10217]) ).
fof(f10469,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,[],[f10468]) ).
fof(f10480,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,[],[f10362]) ).
fof(f10482,plain,
! [X0] :
( ( v9_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,[],[f10452]) ).
fof(f10496,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,[],[f10321]) ).
fof(f10498,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,[],[f10319]) ).
fof(f10499,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,[],[f10317]) ).
fof(f10510,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,[],[f10322]) ).
fof(f10511,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,[],[f10318]) ).
fof(f10546,plain,
( ~ r3_yellow20(k5_waybel34(sK14),k4_waybel34(sK14),k7_waybel34(sK14),k9_waybel34(sK14),k8_waybel34(sK14))
& ~ v2_setfam_1(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f10461]) ).
fof(f10649,plain,
~ v2_setfam_1(sK14),
inference(cnf_transformation,[],[f10546]) ).
fof(f10650,plain,
~ r3_yellow20(k5_waybel34(sK14),k4_waybel34(sK14),k7_waybel34(sK14),k9_waybel34(sK14),k8_waybel34(sK14)),
inference(cnf_transformation,[],[f10546]) ).
fof(f10656,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10464]) ).
fof(f10658,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10465]) ).
fof(f10677,plain,
! [X2,X3,X0,X1,X4] :
( ~ l2_altcat_1(X0)
| ~ 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)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ),
inference(cnf_transformation,[],[f10469]) ).
fof(f10703,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10480]) ).
fof(f10707,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10482]) ).
fof(f10782,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10496]) ).
fof(f10783,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10496]) ).
fof(f10785,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10496]) ).
fof(f10786,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10496]) ).
fof(f10790,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10498]) ).
fof(f10791,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10498]) ).
fof(f10793,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10499]) ).
fof(f10795,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10499]) ).
fof(f10796,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10499]) ).
fof(f10798,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10499]) ).
fof(f10799,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10499]) ).
fof(f10869,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10510]) ).
fof(f10870,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10510]) ).
fof(f10872,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10510]) ).
fof(f10873,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f10510]) ).
fof(f10874,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
fof(f10876,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
fof(f10877,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
fof(f10879,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
fof(f10880,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f10511]) ).
fof(f11876,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_yellow20(k4_waybel34(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,k4_waybel34(X0))
| ~ m1_altcat_2(X3,k4_waybel34(X0))
| ~ v21_functor0(X2,k4_waybel34(X0),X1)
| ~ v16_functor0(X2,k4_waybel34(X0),X1)
| ~ m2_functor0(X2,k4_waybel34(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(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
| v1_xboole_0(X0) ),
inference(resolution,[],[f10677,f10793]) ).
fof(f11879,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_yellow20(k4_waybel34(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,k4_waybel34(X0))
| ~ m1_altcat_2(X3,k4_waybel34(X0))
| ~ v21_functor0(X2,k4_waybel34(X0),X1)
| ~ v16_functor0(X2,k4_waybel34(X0),X1)
| ~ m2_functor0(X2,k4_waybel34(X0),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f11876,f10799]) ).
fof(f11881,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_yellow20(k4_waybel34(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,k4_waybel34(X0))
| ~ m1_altcat_2(X3,k4_waybel34(X0))
| ~ v21_functor0(X2,k4_waybel34(X0),X1)
| ~ v16_functor0(X2,k4_waybel34(X0),X1)
| ~ m2_functor0(X2,k4_waybel34(X0),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f11879,f10798]) ).
fof(f11883,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3_yellow20(k4_waybel34(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,k4_waybel34(X0))
| ~ m1_altcat_2(X3,k4_waybel34(X0))
| ~ v21_functor0(X2,k4_waybel34(X0),X1)
| ~ v16_functor0(X2,k4_waybel34(X0),X1)
| ~ m2_functor0(X2,k4_waybel34(X0),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(k4_waybel34(X0))
| r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f11881,f10796]) ).
fof(f11885,plain,
! [X2,X3,X0,X1,X4] :
( ~ v3_altcat_2(X3,k4_waybel34(X0))
| 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)
| ~ r3_yellow20(k4_waybel34(X0),X1,X2,X3,X4)
| ~ m1_altcat_2(X3,k4_waybel34(X0))
| ~ v21_functor0(X2,k4_waybel34(X0),X1)
| ~ v16_functor0(X2,k4_waybel34(X0),X1)
| ~ m2_functor0(X2,k4_waybel34(X0),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X0),k15_functor0(k4_waybel34(X0),X1,X2),X4,X3)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f11883,f10795]) ).
fof(f12013,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(k8_waybel34(X2))
| ~ v2_altcat_1(k8_waybel34(X2))
| ~ r3_yellow20(k4_waybel34(X2),X1,X3,k8_waybel34(X2),X0)
| ~ m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| ~ v21_functor0(X3,k4_waybel34(X2),X1)
| ~ v16_functor0(X3,k4_waybel34(X2),X1)
| ~ m2_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X2),k15_functor0(k4_waybel34(X2),X1,X3),X0,k8_waybel34(X2))
| v1_xboole_0(X2)
| v1_xboole_0(X2) ),
inference(resolution,[],[f11885,f10783]) ).
fof(f12014,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| v3_struct_0(k8_waybel34(X2))
| ~ v2_altcat_1(k8_waybel34(X2))
| ~ r3_yellow20(k4_waybel34(X2),X1,X3,k8_waybel34(X2),X0)
| ~ m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| ~ v21_functor0(X3,k4_waybel34(X2),X1)
| ~ v16_functor0(X3,k4_waybel34(X2),X1)
| ~ m2_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X2),k15_functor0(k4_waybel34(X2),X1,X3),X0,k8_waybel34(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f12013]) ).
fof(f12015,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| ~ v2_altcat_1(k8_waybel34(X2))
| ~ r3_yellow20(k4_waybel34(X2),X1,X3,k8_waybel34(X2),X0)
| ~ m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| ~ v21_functor0(X3,k4_waybel34(X2),X1)
| ~ v16_functor0(X3,k4_waybel34(X2),X1)
| ~ m2_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X2),k15_functor0(k4_waybel34(X2),X1,X3),X0,k8_waybel34(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f12014,f10786]) ).
fof(f12016,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| ~ r3_yellow20(k4_waybel34(X2),X1,X3,k8_waybel34(X2),X0)
| ~ m1_altcat_2(k8_waybel34(X2),k4_waybel34(X2))
| ~ v21_functor0(X3,k4_waybel34(X2),X1)
| ~ v16_functor0(X3,k4_waybel34(X2),X1)
| ~ m2_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X2),k15_functor0(k4_waybel34(X2),X1,X3),X0,k8_waybel34(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f12015,f10785]) ).
fof(f12017,plain,
! [X2,X3,X0,X1] :
( ~ v16_functor0(X3,k4_waybel34(X2),X1)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,X1)
| ~ m1_altcat_2(X0,X1)
| ~ r3_yellow20(k4_waybel34(X2),X1,X3,k8_waybel34(X2),X0)
| ~ v21_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X0)
| ~ m2_functor0(X3,k4_waybel34(X2),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| r3_yellow20(X1,k4_waybel34(X2),k15_functor0(k4_waybel34(X2),X1,X3),X0,k8_waybel34(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f12016,f10782]) ).
fof(f12241,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| ~ v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(X0)
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(resolution,[],[f12017,f10791]) ).
fof(f12242,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v3_struct_0(k5_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12241,f10707]) ).
fof(f12243,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| v3_struct_0(k5_waybel34(X1))
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12242,f10790]) ).
fof(f12244,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(k5_waybel34(X1))
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12243,f10880]) ).
fof(f12245,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ v11_altcat_1(k5_waybel34(X1))
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12244,f10879]) ).
fof(f12246,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ v12_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12245,f10877]) ).
fof(f12247,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(k5_waybel34(X1))
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12246,f10876]) ).
fof(f12248,plain,
! [X0,X1] :
( ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| v1_xboole_0(X1)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12247,f10874]) ).
fof(f12249,plain,
! [X0,X1] :
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),X0,k8_waybel34(X1))
| ~ v3_altcat_2(X0,k5_waybel34(X1))
| ~ m1_altcat_2(X0,k5_waybel34(X1))
| ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[],[f12248,f10656]) ).
fof(f12764,plain,
! [X0,X1] :
( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,k8_waybel34(X0))
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| v2_setfam_1(X0)
| v2_setfam_1(X0) ),
inference(superposition,[],[f12249,f10703]) ).
fof(f12765,plain,
! [X0,X1] :
( ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),X1)
| ~ v3_altcat_2(X1,k5_waybel34(X0))
| ~ m1_altcat_2(X1,k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X1,k8_waybel34(X0))
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| v2_setfam_1(X0) ),
inference(duplicate_literal_removal,[],[f12764]) ).
fof(f13580,plain,
! [X0] :
( ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0)
| v2_setfam_1(X0) ),
inference(resolution,[],[f12765,f10658]) ).
fof(f13581,plain,
! [X0] :
( ~ v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(duplicate_literal_removal,[],[f13580]) ).
fof(f13582,plain,
! [X0] :
( ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f13581,f10870]) ).
fof(f13583,plain,
! [X0] :
( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| v3_struct_0(k9_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f13582,f10869]) ).
fof(f13584,plain,
! [X0] :
( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| ~ v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f13583,f10873]) ).
fof(f13585,plain,
! [X0] :
( r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[],[f13584,f10872]) ).
fof(f14758,plain,
v2_setfam_1(sK14),
inference(resolution,[],[f13585,f10650]) ).
fof(f14761,plain,
$false,
inference(forward_subsumption_resolution,[],[f14758,f10649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT376+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:09:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.63/2.31 % (331748)Detected formulas, will run a generic FOF schedule.
% 6.63/2.31 % (331754)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=4006988756:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 6.63/2.31 % (331753)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=1655722206:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 6.63/2.31 % (331755)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=674546997:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 6.63/2.31 % (331758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4190634612:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 6.63/2.31 % (331757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3472073610:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 6.63/2.32 % (331756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1568364898:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 6.63/2.32 % (331759)dis-21_1_sil=8000:lcm=predicate:random_seed=1601674046:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 6.63/2.32 % (331758)Instruction limit reached!
% 6.63/2.32 % (331758)------------------------------
% 6.63/2.32 % (331758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331758)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331758)Termination reason: Instruction limit
% 6.63/2.32 % (331758)Termination phase: Property scanning
% 6.63/2.32 % (331758)Time elapsed: 0.060 s
% 6.63/2.32 % (331758)Peak memory usage: 98 MB
% 6.63/2.32 % (331758)Instructions burned: 140 (million)
% 6.63/2.32 % (331756)Instruction limit reached!
% 6.63/2.32 % (331756)------------------------------
% 6.63/2.32 % (331756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331756)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331756)Termination reason: Instruction limit
% 6.63/2.32 % (331756)Termination phase: Saturation
% 6.63/2.32 % (331756)Time elapsed: 0.081 s
% 6.63/2.32 % (331756)Peak memory usage: 104 MB
% 6.63/2.32 % (331756)Instructions burned: 109 (million)
% 6.63/2.32 % (331757)Instruction limit reached!
% 6.63/2.32 % (331757)------------------------------
% 6.63/2.32 % (331757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331757)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331757)Termination reason: Instruction limit
% 6.63/2.32 % (331757)Termination phase: Preprocessing 3
% 6.63/2.32 % (331757)Time elapsed: 0.100 s
% 6.63/2.32 % (331757)Peak memory usage: 102 MB
% 6.63/2.32 % (331757)Instructions burned: 120 (million)
% 6.63/2.32 % (331759)Instruction limit reached!
% 6.63/2.32 % (331759)------------------------------
% 6.63/2.32 % (331759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331759)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331759)Termination reason: Instruction limit
% 6.63/2.32 % (331759)Termination phase: Preprocessing 1
% 6.63/2.32 % (331759)Time elapsed: 0.102 s
% 6.63/2.32 % (331759)Peak memory usage: 100 MB
% 6.63/2.32 % (331759)Instructions burned: 129 (million)
% 6.63/2.32 % (331767)lrs+10_1_sil=8000:sp=occurrence:random_seed=1250033395:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 6.63/2.32 % (331768)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2118433746:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 6.63/2.32 % (331769)lrs+1011_1_sil=32000:sp=occurrence:random_seed=973468565:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 6.63/2.32 % (331770)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=615823411:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 6.63/2.32 % (331768)Instruction limit reached!
% 6.63/2.32 % (331768)------------------------------
% 6.63/2.32 % (331768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331768)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331768)Termination reason: Instruction limit
% 6.63/2.32 % (331768)Termination phase: SInE selection
% 6.63/2.32 % (331768)Time elapsed: 0.072 s
% 6.63/2.32 % (331768)Peak memory usage: 99 MB
% 6.63/2.32 % (331768)Instructions burned: 158 (million)
% 6.63/2.32 % (331767)Instruction limit reached!
% 6.63/2.32 % (331767)------------------------------
% 6.63/2.32 % (331767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331767)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331767)Termination reason: Instruction limit
% 6.63/2.32 % (331767)Termination phase: Saturation
% 6.63/2.32 % (331767)Time elapsed: 0.183 s
% 6.63/2.32 % (331767)Peak memory usage: 107 MB
% 6.63/2.32 % (331767)Instructions burned: 286 (million)
% 6.63/2.32 % (331770)Instruction limit reached!
% 6.63/2.32 % (331770)------------------------------
% 6.63/2.32 % (331770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331770)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331770)Termination reason: Instruction limit
% 6.63/2.32 % (331770)Termination phase: Preprocessing 1
% 6.63/2.32 % (331770)Time elapsed: 0.139 s
% 6.63/2.32 % (331770)Peak memory usage: 100 MB
% 6.63/2.32 % (331770)Instructions burned: 248 (million)
% 6.63/2.32 % (331769)First to succeed.
% 6.63/2.32 % (331769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-331748"
% 6.63/2.32 % (331775)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=468742486:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 6.63/2.32 % (331776)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=460822875:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 6.63/2.32 % (331777)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=207345669:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 6.63/2.32 % (331775)Also succeeded, but the first one will report.
% 6.63/2.32 % (331777)Instruction limit reached!
% 6.63/2.32 % (331777)------------------------------
% 6.63/2.32 % (331777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.63/2.32 % (331777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.63/2.32 % (331777)CaDiCaL version: 2.1.3
% 6.63/2.32 % (331777)Termination reason: Instruction limit
% 6.63/2.32 % (331777)Termination phase: Naming
% 6.63/2.32 % (331777)Time elapsed: 0.097 s
% 6.63/2.32 % (331777)Peak memory usage: 103 MB
% 6.63/2.32 % (331777)Instructions burned: 113 (million)
% 6.63/2.32 % (331769)Refutation found. Thanks to Tanya!
% 6.63/2.32 % SZS status Theorem for theBenchmark
% 6.63/2.32 % SZS output start Proof for theBenchmark
% See solution above
% 7.57/2.51 % (331769)------------------------------
% 7.57/2.51 % (331769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.57/2.51 % (331769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/2.51 % (331769)CaDiCaL version: 2.1.3
% 7.57/2.51 % (331769)Termination reason: Refutation
% 7.57/2.51 % (331769)Time elapsed: 0.220 s
% 7.57/2.51 % (331769)Peak memory usage: 106 MB
% 7.57/2.51 % (331769)Instructions burned: 320 (million)
% 7.57/2.51 % (331769)------------------------------
% 7.57/2.51 % (331769)------------------------------
% 7.57/2.51 % (331748)Success in time 1.454 s
% 7.57/2.51 % Vampire exiting
%------------------------------------------------------------------------------