%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT376+3 : 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 : n010.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 14.65s 3.46s
% Output : Refutation 17.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 156 ( 16 unt; 9 def)
% Number of atoms : 767 ( 6 equ)
% Maximal formula atoms : 23 ( 4 avg)
% Number of connectives : 963 ( 352 ~; 457 |; 125 &)
% ( 9 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 10 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 68 !; 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(f18796,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(f18896,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(f18897,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(f18898,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(f18900,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(f18901,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(f18930,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(f18931,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(f18939,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(f18941,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(f18992,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(f18993,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(f18994,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)],[f18993]) ).
fof(f19045,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,[],[f18896]) ).
fof(f19046,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,[],[f18897]) ).
fof(f19047,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,[],[f18898]) ).
fof(f19049,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,[],[f18900]) ).
fof(f19050,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,[],[f18901]) ).
fof(f19105,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,[],[f18930]) ).
fof(f19106,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,[],[f18931]) ).
fof(f19118,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,[],[f18939]) ).
fof(f19120,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,[],[f18941]) ).
fof(f19208,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,[],[f18992]) ).
fof(f19209,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,[],[f18994]) ).
fof(f19271,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f20471,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,[],[f18796]) ).
fof(f20472,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,[],[f20471]) ).
fof(f20588,plain,
( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58))
& ~ v2_setfam_1(sK58) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f19209]) ).
fof(f20967,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19045]) ).
fof(f20974,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19046]) ).
fof(f20981,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19047]) ).
fof(f20987,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19049]) ).
fof(f20988,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19049]) ).
fof(f20990,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19049]) ).
fof(f20991,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19049]) ).
fof(f20992,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19050]) ).
fof(f20993,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19050]) ).
fof(f20995,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19050]) ).
fof(f20996,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19050]) ).
fof(f21149,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19105]) ).
fof(f21150,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19105]) ).
fof(f21153,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19105]) ).
fof(f21154,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19105]) ).
fof(f21162,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19106]) ).
fof(f21163,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19106]) ).
fof(f21166,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19106]) ).
fof(f21167,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19106]) ).
fof(f21211,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19118]) ).
fof(f21212,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19118]) ).
fof(f21228,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19120]) ).
fof(f21485,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,[],[f19208]) ).
fof(f21486,plain,
~ v2_setfam_1(sK58),
inference(cnf_transformation,[],[f20588]) ).
fof(f21487,plain,
~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58)),
inference(cnf_transformation,[],[f20588]) ).
fof(f21645,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f19271]) ).
fof(f23552,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,[],[f20472]) ).
fof(f23928,definition,
( spl386_1
<=> r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_1])],[avatar_definition]) ).
fof(f23930,plain,
( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58))
| spl386_1 ),
inference(avatar_component_clause,[],[f23928]) ).
fof(f23931,plain,
~ spl386_1,
inference(avatar_split_clause,[],[f21487,f23928]) ).
fof(f23933,definition,
( spl386_2
<=> v2_setfam_1(sK58) ),
introduced(definition,[new_symbols(definition,[spl386_2])],[avatar_definition]) ).
fof(f23935,plain,
( ~ v2_setfam_1(sK58)
| spl386_2 ),
inference(avatar_component_clause,[],[f23933]) ).
fof(f23936,plain,
~ spl386_2,
inference(avatar_split_clause,[],[f21486,f23933]) ).
fof(f24061,plain,
( m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f20981]) ).
fof(f24067,plain,
( m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f20992]) ).
fof(f24068,plain,
( v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f20993]) ).
fof(f24070,plain,
( v2_altcat_1(k9_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f20995]) ).
fof(f24071,plain,
( ~ v3_struct_0(k9_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f20996]) ).
fof(f24103,plain,
( v12_altcat_1(k4_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21149]) ).
fof(f24104,plain,
( v11_altcat_1(k4_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21150]) ).
fof(f24107,plain,
( v2_altcat_1(k4_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21153]) ).
fof(f24108,plain,
( ~ v3_struct_0(k4_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21154]) ).
fof(f24116,plain,
( v12_altcat_1(k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21162]) ).
fof(f24117,plain,
( v11_altcat_1(k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21163]) ).
fof(f24120,plain,
( v2_altcat_1(k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21166]) ).
fof(f24121,plain,
( ~ v3_struct_0(k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21167]) ).
fof(f24161,plain,
( v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21211]) ).
fof(f24162,plain,
( v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21212]) ).
fof(f24178,plain,
( k7_waybel34(sK58) = k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21228]) ).
fof(f24264,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58))
| spl386_2 ),
inference(resolution,[],[f23935,f21485]) ).
fof(f24272,plain,
( ~ v1_xboole_0(sK58)
| spl386_2 ),
inference(resolution,[],[f23935,f21645]) ).
fof(f24454,definition,
( spl386_3
<=> r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_3])],[avatar_definition]) ).
fof(f24456,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58))
| ~ spl386_3 ),
inference(avatar_component_clause,[],[f24454]) ).
fof(f24457,plain,
( spl386_3
| spl386_2 ),
inference(avatar_split_clause,[],[f24264,f23933,f24454]) ).
fof(f24459,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_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))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| ~ spl386_3 ),
inference(resolution,[],[f24456,f23552]) ).
fof(f24592,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_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))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24459,f24071]) ).
fof(f24620,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| ~ v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24592,f24070]) ).
fof(f24633,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| ~ m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24620,f24068]) ).
fof(f24642,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24633,f24067]) ).
fof(f24651,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24642,f24161]) ).
fof(f24660,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24651,f24162]) ).
fof(f24669,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24660,f24061]) ).
fof(f24678,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24669,f24121]) ).
fof(f24687,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24678,f24120]) ).
fof(f24696,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24687,f24117]) ).
fof(f24699,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24696,f24116]) ).
fof(f24700,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24699,f24108]) ).
fof(f24701,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_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))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24700,f24107]) ).
fof(f24702,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ v12_altcat_1(k4_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24701,f24104]) ).
fof(f24703,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58)),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24702,f24103]) ).
fof(f24704,plain,
( r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58))
| v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl386_2
| ~ spl386_3 ),
inference(forward_demodulation,[],[f24703,f24178]) ).
fof(f24705,plain,
( v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| ~ l2_altcat_1(k4_waybel34(sK58))
| spl386_1
| spl386_2
| ~ spl386_3 ),
inference(forward_subsumption_resolution,[],[f24704,f23930]) ).
fof(f24707,definition,
( spl386_4
<=> l2_altcat_1(k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_4])],[avatar_definition]) ).
fof(f24708,plain,
( l2_altcat_1(k4_waybel34(sK58))
| ~ spl386_4 ),
inference(avatar_component_clause,[],[f24707]) ).
fof(f24709,plain,
( ~ l2_altcat_1(k4_waybel34(sK58))
| spl386_4 ),
inference(avatar_component_clause,[],[f24707]) ).
fof(f24711,definition,
( spl386_5
<=> l2_altcat_1(k5_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_5])],[avatar_definition]) ).
fof(f24712,plain,
( l2_altcat_1(k5_waybel34(sK58))
| ~ spl386_5 ),
inference(avatar_component_clause,[],[f24711]) ).
fof(f24713,plain,
( ~ l2_altcat_1(k5_waybel34(sK58))
| spl386_5 ),
inference(avatar_component_clause,[],[f24711]) ).
fof(f24731,definition,
( spl386_10
<=> v2_altcat_1(k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_10])],[avatar_definition]) ).
fof(f24733,plain,
( ~ v2_altcat_1(k8_waybel34(sK58))
| spl386_10 ),
inference(avatar_component_clause,[],[f24731]) ).
fof(f24735,definition,
( spl386_11
<=> v3_struct_0(k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_11])],[avatar_definition]) ).
fof(f24737,plain,
( v3_struct_0(k8_waybel34(sK58))
| ~ spl386_11 ),
inference(avatar_component_clause,[],[f24735]) ).
fof(f24766,definition,
( spl386_18
<=> v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_18])],[avatar_definition]) ).
fof(f24767,plain,
( ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl386_18 ),
inference(avatar_component_clause,[],[f24766]) ).
fof(f24776,definition,
( spl386_20
<=> m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl386_20])],[avatar_definition]) ).
fof(f24777,plain,
( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl386_20 ),
inference(avatar_component_clause,[],[f24776]) ).
fof(f24780,plain,
( v1_xboole_0(sK58)
| spl386_4 ),
inference(resolution,[],[f24709,f20967]) ).
fof(f24798,plain,
( $false
| spl386_2
| spl386_4 ),
inference(forward_subsumption_resolution,[],[f24780,f24272]) ).
fof(f24799,plain,
( spl386_2
| spl386_4 ),
inference(avatar_contradiction_clause,[],[f24798]) ).
fof(f24806,plain,
( v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ l2_altcat_1(k5_waybel34(sK58))
| spl386_1
| spl386_2
| ~ spl386_3
| ~ spl386_4 ),
inference(backward_subsumption_resolution,[],[f24705,f24708]) ).
fof(f24807,plain,
( v1_xboole_0(sK58)
| spl386_5 ),
inference(resolution,[],[f24713,f20974]) ).
fof(f24825,plain,
( $false
| spl386_2
| spl386_5 ),
inference(forward_subsumption_resolution,[],[f24807,f24272]) ).
fof(f24826,plain,
( spl386_2
| spl386_5 ),
inference(avatar_contradiction_clause,[],[f24825]) ).
fof(f24831,plain,
( v3_struct_0(k8_waybel34(sK58))
| ~ v2_altcat_1(k8_waybel34(sK58))
| ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl386_1
| spl386_2
| ~ spl386_3
| ~ spl386_4
| ~ spl386_5 ),
inference(forward_subsumption_resolution,[],[f24806,f24712]) ).
fof(f29563,plain,
( ~ spl386_20
| ~ spl386_18
| ~ spl386_10
| spl386_11
| spl386_1
| spl386_2
| ~ spl386_3
| ~ spl386_4
| ~ spl386_5 ),
inference(avatar_split_clause,[],[f24831,f24711,f24707,f24454,f23933,f23928,f24735,f24731,f24766,f24776]) ).
fof(f29564,plain,
( v1_xboole_0(sK58)
| spl386_10 ),
inference(resolution,[],[f24733,f20990]) ).
fof(f29626,plain,
( $false
| spl386_2
| spl386_10 ),
inference(forward_subsumption_resolution,[],[f29564,f24272]) ).
fof(f29627,plain,
( spl386_2
| spl386_10 ),
inference(avatar_contradiction_clause,[],[f29626]) ).
fof(f29646,plain,
( v1_xboole_0(sK58)
| spl386_18 ),
inference(resolution,[],[f24767,f20988]) ).
fof(f29723,plain,
( $false
| spl386_2
| spl386_18 ),
inference(forward_subsumption_resolution,[],[f29646,f24272]) ).
fof(f29724,plain,
( spl386_2
| spl386_18 ),
inference(avatar_contradiction_clause,[],[f29723]) ).
fof(f29757,plain,
( v1_xboole_0(sK58)
| spl386_20 ),
inference(resolution,[],[f24777,f20987]) ).
fof(f29834,plain,
( $false
| spl386_2
| spl386_20 ),
inference(forward_subsumption_resolution,[],[f29757,f24272]) ).
fof(f29835,plain,
( spl386_2
| spl386_20 ),
inference(avatar_contradiction_clause,[],[f29834]) ).
fof(f29864,plain,
( v1_xboole_0(sK58)
| ~ spl386_11 ),
inference(resolution,[],[f24737,f20991]) ).
fof(f29942,plain,
( $false
| spl386_2
| ~ spl386_11 ),
inference(forward_subsumption_resolution,[],[f29864,f24272]) ).
fof(f29943,plain,
( spl386_2
| ~ spl386_11 ),
inference(avatar_contradiction_clause,[],[f29942]) ).
cnf(s1,plain,
~ spl386_1,
inference(sat_conversion,[],[f23931]) ).
cnf(s2,plain,
~ spl386_2,
inference(sat_conversion,[],[f23936]) ).
cnf(s3,plain,
( spl386_2
| spl386_3 ),
inference(sat_conversion,[],[f24457]) ).
cnf(s10,plain,
( spl386_2
| spl386_4 ),
inference(sat_conversion,[],[f24799]) ).
cnf(s11,plain,
( spl386_2
| spl386_5 ),
inference(sat_conversion,[],[f24826]) ).
cnf(s22,plain,
( spl386_1
| spl386_2
| ~ spl386_3
| ~ spl386_4
| ~ spl386_5
| ~ spl386_10
| spl386_11
| ~ spl386_18
| ~ spl386_20 ),
inference(sat_conversion,[],[f29563]) ).
cnf(s23,plain,
( spl386_2
| spl386_10 ),
inference(sat_conversion,[],[f29627]) ).
cnf(s24,plain,
( spl386_2
| spl386_18 ),
inference(sat_conversion,[],[f29724]) ).
cnf(s25,plain,
( spl386_2
| spl386_20 ),
inference(sat_conversion,[],[f29835]) ).
cnf(s26,plain,
( spl386_2
| ~ spl386_11 ),
inference(sat_conversion,[],[f29943]) ).
cnf(s27,plain,
~ spl386_11,
inference(rat,[],[s26,s2]) ).
cnf(s28,plain,
spl386_20,
inference(rat,[],[s25,s2]) ).
cnf(s29,plain,
spl386_18,
inference(rat,[],[s24,s2]) ).
cnf(s30,plain,
spl386_10,
inference(rat,[],[s23,s2]) ).
cnf(s39,plain,
spl386_5,
inference(rat,[],[s11,s2]) ).
cnf(s40,plain,
spl386_4,
inference(rat,[],[s10,s2]) ).
cnf(s41,plain,
spl386_3,
inference(rat,[],[s3,s2]) ).
cnf(s44,plain,
spl386_1,
inference(rat,[],[s22,s28,s29,s27,s30,s39,s40,s2,s41]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s1,s44]) ).
fof(f29958,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT376+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:10:05 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 11.23/2.63 % (1066584)Detected formulas, will run a generic FOF schedule.
% 11.23/2.63 % (1066592)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3955314880:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.23/2.63 % (1066590)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=4079242571:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.23/2.63 % (1066595)dis-21_1_sil=8000:lcm=predicate:random_seed=3134328619:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.23/2.63 % (1066594)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3895785759:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.23/2.63 % (1066589)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=581644442:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.23/2.63 % (1066591)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=1717898782:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.23/2.63 % (1066593)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3790478150:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.23/2.63 % (1066594)Instruction limit reached!
% 11.23/2.63 % (1066594)------------------------------
% 11.23/2.63 % (1066594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.63 % (1066594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.63 % (1066594)CaDiCaL version: 2.1.3
% 11.23/2.63 % (1066594)Termination reason: Instruction limit
% 11.23/2.63 % (1066594)Termination phase: Property scanning
% 11.23/2.63 % (1066594)Time elapsed: 0.058 s
% 11.23/2.63 % (1066594)Peak memory usage: 112 MB
% 11.23/2.63 % (1066594)Instructions burned: 139 (million)
% 11.23/2.63 % (1066592)Instruction limit reached!
% 11.23/2.63 % (1066592)------------------------------
% 11.23/2.63 % (1066592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.63 % (1066592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.63 % (1066592)CaDiCaL version: 2.1.3
% 11.23/2.63 % (1066592)Termination reason: Instruction limit
% 11.23/2.63 % (1066592)Termination phase: SInE selection
% 11.23/2.63 % (1066592)Time elapsed: 0.083 s
% 11.23/2.63 % (1066592)Peak memory usage: 112 MB
% 11.23/2.63 % (1066592)Instructions burned: 109 (million)
% 11.23/2.63 % (1066595)Instruction limit reached!
% 11.23/2.63 % (1066595)------------------------------
% 11.23/2.63 % (1066595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.63 % (1066595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.63 % (1066595)CaDiCaL version: 2.1.3
% 11.23/2.63 % (1066595)Termination reason: Instruction limit
% 11.23/2.63 % (1066595)Termination phase: SInE selection
% 11.23/2.63 % (1066595)Time elapsed: 0.084 s
% 11.23/2.63 % (1066595)Peak memory usage: 112 MB
% 11.23/2.63 % (1066595)Instructions burned: 130 (million)
% 11.23/2.63 % (1066593)Instruction limit reached!
% 11.23/2.63 % (1066593)------------------------------
% 11.23/2.63 % (1066593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.63 % (1066593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.63 % (1066593)CaDiCaL version: 2.1.3
% 11.23/2.63 % (1066593)Termination reason: Instruction limit
% 11.23/2.63 % (1066593)Termination phase: SInE selection
% 11.23/2.63 % (1066593)Time elapsed: 0.092 s
% 11.23/2.63 % (1066593)Peak memory usage: 112 MB
% 11.23/2.63 % (1066593)Instructions burned: 119 (million)
% 11.23/2.63 % (1066605)lrs+1011_1_sil=32000:sp=occurrence:random_seed=121909046:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.23/2.63 % (1066603)lrs+10_1_sil=8000:sp=occurrence:random_seed=189480204:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.23/2.63 % (1066604)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2268588234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.23/2.63 % (1066606)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=3402325439:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.23/2.63 % (1066605)Instruction limit reached!
% 14.65/3.46 % (1066605)------------------------------
% 14.65/3.46 % (1066605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066605)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066605)Termination reason: Instruction limit
% 14.65/3.46 % (1066605)Termination phase: Saturation
% 14.65/3.46 % (1066605)Time elapsed: 0.127 s
% 14.65/3.46 % (1066605)Peak memory usage: 119 MB
% 14.65/3.46 % (1066605)Instructions burned: 326 (million)
% 14.65/3.46 % (1066604)Instruction limit reached!
% 14.65/3.46 % (1066604)------------------------------
% 14.65/3.46 % (1066604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066604)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066604)Termination reason: Instruction limit
% 14.65/3.46 % (1066604)Termination phase: Property scanning
% 14.65/3.46 % (1066604)Time elapsed: 0.067 s
% 14.65/3.46 % (1066604)Peak memory usage: 112 MB
% 14.65/3.46 % (1066604)Instructions burned: 158 (million)
% 14.65/3.46 % (1066606)Instruction limit reached!
% 14.65/3.46 % (1066606)------------------------------
% 14.65/3.46 % (1066606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066606)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066606)Termination reason: Instruction limit
% 14.65/3.46 % (1066606)Termination phase: Property scanning
% 14.65/3.46 % (1066606)Time elapsed: 0.107 s
% 14.65/3.46 % (1066606)Peak memory usage: 112 MB
% 14.65/3.46 % (1066606)Instructions burned: 250 (million)
% 14.65/3.46 % (1066603)Instruction limit reached!
% 14.65/3.46 % (1066603)------------------------------
% 14.65/3.46 % (1066603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066603)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066603)Termination reason: Instruction limit
% 14.65/3.46 % (1066603)Termination phase: Saturation
% 14.65/3.46 % (1066603)Time elapsed: 0.197 s
% 14.65/3.46 % (1066603)Peak memory usage: 119 MB
% 14.65/3.46 % (1066603)Instructions burned: 285 (million)
% 14.65/3.46 % (1066612)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=859781466:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.65/3.46 % (1066611)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2633744806:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 14.65/3.46 % (1066613)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1346687576:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 14.65/3.46 % (1066614)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2408571412:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.65/3.46 % (1066613)Instruction limit reached!
% 14.65/3.46 % (1066613)------------------------------
% 14.65/3.46 % (1066613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066613)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066613)Termination reason: Instruction limit
% 14.65/3.46 % (1066613)Termination phase: SInE selection
% 14.65/3.46 % (1066613)Time elapsed: 0.089 s
% 14.65/3.46 % (1066613)Peak memory usage: 112 MB
% 14.65/3.46 % (1066613)Instructions burned: 114 (million)
% 14.65/3.46 % (1066614)Instruction limit reached!
% 14.65/3.46 % (1066614)------------------------------
% 14.65/3.46 % (1066614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066614)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066614)Termination reason: Instruction limit
% 14.65/3.46 % (1066614)Termination phase: Preprocessing 1
% 14.65/3.46 % (1066614)Time elapsed: 0.093 s
% 14.65/3.46 % (1066614)Peak memory usage: 113 MB
% 14.65/3.46 % (1066614)Instructions burned: 128 (million)
% 14.65/3.46 % (1066611)Instruction limit reached!
% 14.65/3.46 % (1066611)------------------------------
% 14.65/3.46 % (1066611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066611)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066611)Termination reason: Instruction limit
% 14.65/3.46 % (1066611)Termination phase: Saturation
% 14.65/3.46 % (1066611)Time elapsed: 0.195 s
% 14.65/3.46 % (1066611)Peak memory usage: 119 MB
% 14.65/3.46 % (1066611)Instructions burned: 294 (million)
% 14.65/3.46 % (1066619)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1139914668:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 14.65/3.46 % (1066619)Instruction limit reached!
% 14.65/3.46 % (1066619)------------------------------
% 14.65/3.46 % (1066619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066619)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066619)Termination reason: Instruction limit
% 14.65/3.46 % (1066619)Termination phase: Property scanning
% 14.65/3.46 % (1066619)Time elapsed: 0.050 s
% 14.65/3.46 % (1066619)Peak memory usage: 112 MB
% 14.65/3.46 % (1066619)Instructions burned: 114 (million)
% 14.65/3.46 % (1066621)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=36576748:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 14.65/3.46 % (1066620)lrs+10_1_sil=8000:sp=occurrence:random_seed=3006314445:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 14.65/3.46 % (1066623)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2718739573:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 14.65/3.46 % (1066621)Refutation not found, incomplete strategy
% 14.65/3.46 % (1066621)------------------------------
% 14.65/3.46 % (1066621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066621)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066621)Termination reason: Refutation not found, incomplete strategy
% 14.65/3.46 % (1066621)Time elapsed: 0.234 s
% 14.65/3.46 % (1066621)Peak memory usage: 122 MB
% 14.65/3.46 % (1066621)Instructions burned: 350 (million)
% 14.65/3.46 % (1066612)Instruction limit reached!
% 14.65/3.46 % (1066612)------------------------------
% 14.65/3.46 % (1066612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066612)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066612)Termination reason: Instruction limit
% 14.65/3.46 % (1066612)Termination phase: Property scanning
% 14.65/3.46 % (1066612)Time elapsed: 0.725 s
% 14.65/3.46 % (1066612)Peak memory usage: 171 MB
% 14.65/3.46 % (1066612)Instructions burned: 2353 (million)
% 14.65/3.46 % (1066627)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=283507726:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 14.65/3.46 % (1066621)------------------------------
% 14.65/3.46 % (1066621)------------------------------
% 14.65/3.46 % (1066627)Instruction limit reached!
% 14.65/3.46 % (1066627)------------------------------
% 14.65/3.46 % (1066627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066627)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066627)Termination reason: Instruction limit
% 14.65/3.46 % (1066627)Termination phase: Preprocessing 2
% 14.65/3.46 % (1066627)Time elapsed: 0.072 s
% 14.65/3.46 % (1066627)Peak memory usage: 114 MB
% 14.65/3.46 % (1066627)Instructions burned: 135 (million)
% 14.65/3.46 % (1066620)Instruction limit reached!
% 14.65/3.46 % (1066620)------------------------------
% 14.65/3.46 % (1066620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066620)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066620)Termination reason: Instruction limit
% 14.65/3.46 % (1066620)Termination phase: Property scanning
% 14.65/3.46 % (1066620)Time elapsed: 0.542 s
% 14.65/3.46 % (1066620)Peak memory usage: 132 MB
% 14.65/3.46 % (1066620)Instructions burned: 908 (million)
% 14.65/3.46 % (1066629)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2855931727:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 14.65/3.46 % (1066630)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3015434307:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 14.65/3.46 % (1066631)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=1769641517:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 14.65/3.46 % (1066631)Instruction limit reached!
% 14.65/3.46 % (1066631)------------------------------
% 14.65/3.46 % (1066631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066631)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066631)Termination reason: Instruction limit
% 14.65/3.46 % (1066631)Termination phase: Property scanning
% 14.65/3.46 % (1066631)Time elapsed: 0.054 s
% 14.65/3.46 % (1066631)Peak memory usage: 112 MB
% 14.65/3.46 % (1066631)Instructions burned: 127 (million)
% 14.65/3.46 % (1066635)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1460067509:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 14.65/3.46 % (1066635)Instruction limit reached!
% 14.65/3.46 % (1066635)------------------------------
% 14.65/3.46 % (1066635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066635)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066635)Termination reason: Instruction limit
% 14.65/3.46 % (1066635)Termination phase: Property scanning
% 14.65/3.46 % (1066635)Time elapsed: 0.058 s
% 14.65/3.46 % (1066635)Peak memory usage: 112 MB
% 14.65/3.46 % (1066635)Instructions burned: 135 (million)
% 14.65/3.46 % (1066629)Instruction limit reached!
% 14.65/3.46 % (1066629)------------------------------
% 14.65/3.46 % (1066629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066629)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066629)Termination reason: Instruction limit
% 14.65/3.46 % (1066629)Termination phase: Property scanning
% 14.65/3.46 % (1066629)Time elapsed: 0.427 s
% 14.65/3.46 % (1066629)Peak memory usage: 134 MB
% 14.65/3.46 % (1066629)Instructions burned: 592 (million)
% 14.65/3.46 % (1066637)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1276475411:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 14.65/3.46 % (1066637)Instruction limit reached!
% 14.65/3.46 % (1066637)------------------------------
% 14.65/3.46 % (1066637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066637)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066637)Termination reason: Instruction limit
% 14.65/3.46 % (1066637)Termination phase: Saturation
% 14.65/3.46 % (1066637)Time elapsed: 0.114 s
% 14.65/3.46 % (1066637)Peak memory usage: 116 MB
% 14.65/3.46 % (1066637)Instructions burned: 142 (million)
% 14.65/3.46 % (1066638)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=324695633:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 14.65/3.46 % (1066591)First to succeed.
% 14.65/3.46 % (1066591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1066584"
% 14.65/3.46 % (1066640)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=6102866:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 14.65/3.46 % (1066638)Instruction limit reached!
% 14.65/3.46 % (1066638)------------------------------
% 14.65/3.46 % (1066638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/3.46 % (1066638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/3.46 % (1066638)CaDiCaL version: 2.1.3
% 14.65/3.46 % (1066638)Termination reason: Instruction limit
% 14.65/3.46 % (1066638)Termination phase: Saturation
% 14.65/3.46 % (1066638)Time elapsed: 0.293 s
% 14.65/3.46 % (1066638)Peak memory usage: 119 MB
% 14.65/3.46 % (1066638)Instructions burned: 432 (million)
% 14.65/3.46 % (1066591)Refutation found. Thanks to Tanya!
% 14.65/3.46 % SZS status Theorem for theBenchmark
% 14.65/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 17.76/3.66 % (1066591)------------------------------
% 17.76/3.66 % (1066591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.76/3.66 % (1066591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.76/3.66 % (1066591)CaDiCaL version: 2.1.3
% 17.76/3.66 % (1066591)Termination reason: Refutation
% 17.76/3.66 % (1066591)Time elapsed: 1.960 s
% 17.76/3.66 % (1066591)Peak memory usage: 199 MB
% 17.76/3.66 % (1066591)Instructions burned: 3203 (million)
% 17.76/3.66 % (1066591)------------------------------
% 17.76/3.66 % (1066591)------------------------------
% 17.76/3.66 % (1066584)Success in time 2.847 s
% 17.76/3.66 % Vampire exiting
%------------------------------------------------------------------------------