%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT376+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 23.15s 5.87s
% Output : Refutation 27.10s
% 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(f55577,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( v16_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X0)
& m1_altcat_2(X3,X0) )
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ( r3_yellow20(X0,X1,X2,X3,X4)
=> r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(f55677,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f55678,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f55679,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f55681,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(f55682,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f55711,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f55712,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f55720,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f55722,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f55773,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(f55774,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(f55775,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)],[f55774]) ).
fof(f55837,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55677]) ).
fof(f55838,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55678]) ).
fof(f55839,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55679]) ).
fof(f55841,plain,
! [X0] :
( ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55681]) ).
fof(f55842,plain,
! [X0] :
( ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55682]) ).
fof(f55897,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55711]) ).
fof(f55898,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55712]) ).
fof(f55910,plain,
! [X0] :
( ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55720]) ).
fof(f55912,plain,
! [X0] :
( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55722]) ).
fof(f56000,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,[],[f55773]) ).
fof(f56001,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,[],[f55775]) ).
fof(f56078,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f57538,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1) )
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f55577]) ).
fof(f57539,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,[],[f57538]) ).
fof(f57655,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)],[f56001]) ).
fof(f58102,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55837]) ).
fof(f58109,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55838]) ).
fof(f58116,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55839]) ).
fof(f58122,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55841]) ).
fof(f58123,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55841]) ).
fof(f58125,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55841]) ).
fof(f58126,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55841]) ).
fof(f58127,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55842]) ).
fof(f58128,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55842]) ).
fof(f58130,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55842]) ).
fof(f58131,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55842]) ).
fof(f58284,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55897]) ).
fof(f58285,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55897]) ).
fof(f58288,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55897]) ).
fof(f58289,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55897]) ).
fof(f58297,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55898]) ).
fof(f58298,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55898]) ).
fof(f58301,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55898]) ).
fof(f58302,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55898]) ).
fof(f58346,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55910]) ).
fof(f58347,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55910]) ).
fof(f58363,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55912]) ).
fof(f58620,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,[],[f56000]) ).
fof(f58621,plain,
~ v2_setfam_1(sK58),
inference(cnf_transformation,[],[f57655]) ).
fof(f58622,plain,
~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58)),
inference(cnf_transformation,[],[f57655]) ).
fof(f58805,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f56078]) ).
fof(f61180,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,[],[f57539]) ).
fof(f61778,definition,
( spl445_1
<=> r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_1])],[avatar_definition]) ).
fof(f61780,plain,
( ~ r3_yellow20(k5_waybel34(sK58),k4_waybel34(sK58),k7_waybel34(sK58),k9_waybel34(sK58),k8_waybel34(sK58))
| spl445_1 ),
inference(avatar_component_clause,[],[f61778]) ).
fof(f61781,plain,
~ spl445_1,
inference(avatar_split_clause,[],[f58622,f61778]) ).
fof(f61783,definition,
( spl445_2
<=> v2_setfam_1(sK58) ),
introduced(definition,[new_symbols(definition,[spl445_2])],[avatar_definition]) ).
fof(f61785,plain,
( ~ v2_setfam_1(sK58)
| spl445_2 ),
inference(avatar_component_clause,[],[f61783]) ).
fof(f61786,plain,
~ spl445_2,
inference(avatar_split_clause,[],[f58621,f61783]) ).
fof(f61911,plain,
( m2_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58116]) ).
fof(f61917,plain,
( m1_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58127]) ).
fof(f61918,plain,
( v3_altcat_2(k9_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58128]) ).
fof(f61920,plain,
( v2_altcat_1(k9_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58130]) ).
fof(f61921,plain,
( ~ v3_struct_0(k9_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58131]) ).
fof(f61953,plain,
( v12_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58284]) ).
fof(f61954,plain,
( v11_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58285]) ).
fof(f61957,plain,
( v2_altcat_1(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58288]) ).
fof(f61958,plain,
( ~ v3_struct_0(k4_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58289]) ).
fof(f61966,plain,
( v12_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58297]) ).
fof(f61967,plain,
( v11_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58298]) ).
fof(f61970,plain,
( v2_altcat_1(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58301]) ).
fof(f61971,plain,
( ~ v3_struct_0(k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58302]) ).
fof(f62007,plain,
( v21_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58346]) ).
fof(f62008,plain,
( v16_functor0(k6_waybel34(sK58),k4_waybel34(sK58),k5_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58347]) ).
fof(f62024,plain,
( k7_waybel34(sK58) = k15_functor0(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58363]) ).
fof(f62108,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58))
| spl445_2 ),
inference(resolution,[],[f61785,f58620]) ).
fof(f62121,plain,
( ~ v1_xboole_0(sK58)
| spl445_2 ),
inference(resolution,[],[f61785,f58805]) ).
fof(f62310,definition,
( spl445_3
<=> r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_3])],[avatar_definition]) ).
fof(f62312,plain,
( r3_yellow20(k4_waybel34(sK58),k5_waybel34(sK58),k6_waybel34(sK58),k8_waybel34(sK58),k9_waybel34(sK58))
| ~ spl445_3 ),
inference(avatar_component_clause,[],[f62310]) ).
fof(f62313,plain,
( spl445_3
| spl445_2 ),
inference(avatar_split_clause,[],[f62108,f61783,f62310]) ).
fof(f62315,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))
| ~ spl445_3 ),
inference(resolution,[],[f62312,f61180]) ).
fof(f62448,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62315,f61921]) ).
fof(f62476,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62448,f61920]) ).
fof(f62489,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62476,f61918]) ).
fof(f62498,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62489,f61917]) ).
fof(f62507,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62498,f62007]) ).
fof(f62516,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62507,f62008]) ).
fof(f62525,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62516,f61911]) ).
fof(f62534,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62525,f61971]) ).
fof(f62543,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62534,f61970]) ).
fof(f62552,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62543,f61967]) ).
fof(f62555,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62552,f61966]) ).
fof(f62556,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62555,f61958]) ).
fof(f62557,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62556,f61957]) ).
fof(f62558,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62557,f61954]) ).
fof(f62559,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62558,f61953]) ).
fof(f62560,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))
| spl445_2
| ~ spl445_3 ),
inference(forward_demodulation,[],[f62559,f62024]) ).
fof(f62561,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))
| spl445_1
| spl445_2
| ~ spl445_3 ),
inference(forward_subsumption_resolution,[],[f62560,f61780]) ).
fof(f62563,definition,
( spl445_4
<=> l2_altcat_1(k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_4])],[avatar_definition]) ).
fof(f62564,plain,
( l2_altcat_1(k4_waybel34(sK58))
| ~ spl445_4 ),
inference(avatar_component_clause,[],[f62563]) ).
fof(f62565,plain,
( ~ l2_altcat_1(k4_waybel34(sK58))
| spl445_4 ),
inference(avatar_component_clause,[],[f62563]) ).
fof(f62567,definition,
( spl445_5
<=> l2_altcat_1(k5_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_5])],[avatar_definition]) ).
fof(f62568,plain,
( l2_altcat_1(k5_waybel34(sK58))
| ~ spl445_5 ),
inference(avatar_component_clause,[],[f62567]) ).
fof(f62569,plain,
( ~ l2_altcat_1(k5_waybel34(sK58))
| spl445_5 ),
inference(avatar_component_clause,[],[f62567]) ).
fof(f62587,definition,
( spl445_10
<=> v2_altcat_1(k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_10])],[avatar_definition]) ).
fof(f62589,plain,
( ~ v2_altcat_1(k8_waybel34(sK58))
| spl445_10 ),
inference(avatar_component_clause,[],[f62587]) ).
fof(f62591,definition,
( spl445_11
<=> v3_struct_0(k8_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_11])],[avatar_definition]) ).
fof(f62593,plain,
( v3_struct_0(k8_waybel34(sK58))
| ~ spl445_11 ),
inference(avatar_component_clause,[],[f62591]) ).
fof(f62622,definition,
( spl445_18
<=> v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_18])],[avatar_definition]) ).
fof(f62623,plain,
( ~ v3_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl445_18 ),
inference(avatar_component_clause,[],[f62622]) ).
fof(f62632,definition,
( spl445_20
<=> m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58)) ),
introduced(definition,[new_symbols(definition,[spl445_20])],[avatar_definition]) ).
fof(f62633,plain,
( ~ m1_altcat_2(k8_waybel34(sK58),k4_waybel34(sK58))
| spl445_20 ),
inference(avatar_component_clause,[],[f62632]) ).
fof(f62636,plain,
( v1_xboole_0(sK58)
| spl445_4 ),
inference(resolution,[],[f62565,f58102]) ).
fof(f62654,plain,
( $false
| spl445_2
| spl445_4 ),
inference(forward_subsumption_resolution,[],[f62636,f62121]) ).
fof(f62655,plain,
( spl445_2
| spl445_4 ),
inference(avatar_contradiction_clause,[],[f62654]) ).
fof(f62662,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))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4 ),
inference(backward_subsumption_resolution,[],[f62561,f62564]) ).
fof(f62663,plain,
( v1_xboole_0(sK58)
| spl445_5 ),
inference(resolution,[],[f62569,f58109]) ).
fof(f62681,plain,
( $false
| spl445_2
| spl445_5 ),
inference(forward_subsumption_resolution,[],[f62663,f62121]) ).
fof(f62682,plain,
( spl445_2
| spl445_5 ),
inference(avatar_contradiction_clause,[],[f62681]) ).
fof(f62687,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))
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5 ),
inference(forward_subsumption_resolution,[],[f62662,f62568]) ).
fof(f70672,plain,
( ~ spl445_20
| ~ spl445_18
| ~ spl445_10
| spl445_11
| spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5 ),
inference(avatar_split_clause,[],[f62687,f62567,f62563,f62310,f61783,f61778,f62591,f62587,f62622,f62632]) ).
fof(f70673,plain,
( v1_xboole_0(sK58)
| spl445_10 ),
inference(resolution,[],[f62589,f58125]) ).
fof(f70735,plain,
( $false
| spl445_2
| spl445_10 ),
inference(forward_subsumption_resolution,[],[f70673,f62121]) ).
fof(f70736,plain,
( spl445_2
| spl445_10 ),
inference(avatar_contradiction_clause,[],[f70735]) ).
fof(f70767,plain,
( v1_xboole_0(sK58)
| spl445_18 ),
inference(resolution,[],[f62623,f58123]) ).
fof(f70844,plain,
( $false
| spl445_2
| spl445_18 ),
inference(forward_subsumption_resolution,[],[f70767,f62121]) ).
fof(f70845,plain,
( spl445_2
| spl445_18 ),
inference(avatar_contradiction_clause,[],[f70844]) ).
fof(f70879,plain,
( v1_xboole_0(sK58)
| spl445_20 ),
inference(resolution,[],[f62633,f58122]) ).
fof(f70953,plain,
( $false
| spl445_2
| spl445_20 ),
inference(forward_subsumption_resolution,[],[f70879,f62121]) ).
fof(f70954,plain,
( spl445_2
| spl445_20 ),
inference(avatar_contradiction_clause,[],[f70953]) ).
fof(f70974,plain,
( v1_xboole_0(sK58)
| ~ spl445_11 ),
inference(resolution,[],[f62593,f58126]) ).
fof(f71068,plain,
( $false
| spl445_2
| ~ spl445_11 ),
inference(forward_subsumption_resolution,[],[f70974,f62121]) ).
fof(f71069,plain,
( spl445_2
| ~ spl445_11 ),
inference(avatar_contradiction_clause,[],[f71068]) ).
cnf(s1,plain,
~ spl445_1,
inference(sat_conversion,[],[f61781]) ).
cnf(s2,plain,
~ spl445_2,
inference(sat_conversion,[],[f61786]) ).
cnf(s3,plain,
( spl445_2
| spl445_3 ),
inference(sat_conversion,[],[f62313]) ).
cnf(s10,plain,
( spl445_2
| spl445_4 ),
inference(sat_conversion,[],[f62655]) ).
cnf(s11,plain,
( spl445_2
| spl445_5 ),
inference(sat_conversion,[],[f62682]) ).
cnf(s45,plain,
( spl445_1
| spl445_2
| ~ spl445_3
| ~ spl445_4
| ~ spl445_5
| ~ spl445_10
| spl445_11
| ~ spl445_18
| ~ spl445_20 ),
inference(sat_conversion,[],[f70672]) ).
cnf(s46,plain,
( spl445_2
| spl445_10 ),
inference(sat_conversion,[],[f70736]) ).
cnf(s47,plain,
( spl445_2
| spl445_18 ),
inference(sat_conversion,[],[f70845]) ).
cnf(s48,plain,
( spl445_2
| spl445_20 ),
inference(sat_conversion,[],[f70954]) ).
cnf(s49,plain,
( spl445_2
| ~ spl445_11 ),
inference(sat_conversion,[],[f71069]) ).
cnf(s50,plain,
~ spl445_11,
inference(rat,[],[s49,s2]) ).
cnf(s51,plain,
spl445_20,
inference(rat,[],[s48,s2]) ).
cnf(s52,plain,
spl445_18,
inference(rat,[],[s47,s2]) ).
cnf(s53,plain,
spl445_10,
inference(rat,[],[s46,s2]) ).
cnf(s64,plain,
spl445_5,
inference(rat,[],[s11,s2]) ).
cnf(s65,plain,
spl445_4,
inference(rat,[],[s10,s2]) ).
cnf(s66,plain,
spl445_3,
inference(rat,[],[s3,s2]) ).
cnf(s83,plain,
spl445_1,
inference(rat,[],[s45,s51,s52,s50,s53,s64,s65,s2,s66]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s1,s83]) ).
fof(f71084,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT376+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n009.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Sun Sep 27 15:09:41 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.46 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
% 12.35/3.98 % (2152914)Detected formulas, will run a generic FOF schedule.
% 12.35/3.98 % (2152919)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=3832651281:i=141193_2983 on theBenchmark for (2983ds/141193Mi)
% 12.35/3.98 % (2152920)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=405363174:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2983 on theBenchmark for (2983ds/134677Mi)
% 12.35/3.98 % (2152921)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=3609877991:i=141695:sd=1:nm=32:gsp=on:ss=included_2983 on theBenchmark for (2983ds/141695Mi)
% 12.35/3.98 % (2152922)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=924213129:i=109:sd=1:ins=1:gsp=on:ss=axioms_2983 on theBenchmark for (2983ds/109Mi)
% 12.35/3.98 % (2152924)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1787010001:s2a=on:i=139:gtg=position_2983 on theBenchmark for (2983ds/139Mi)
% 12.35/3.98 % (2152923)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4009930908:i=119:av=off:ss=axioms_2983 on theBenchmark for (2983ds/119Mi)
% 12.35/3.98 % (2152925)dis-21_1_sil=8000:lcm=predicate:random_seed=2109177740:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2983 on theBenchmark for (2983ds/129Mi)
% 12.35/3.98 % (2152924)Instruction limit reached!
% 12.35/3.98 % (2152924)------------------------------
% 12.35/3.98 % (2152924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/3.98 % (2152924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/3.98 % (2152924)CaDiCaL version: 2.1.3
% 12.35/3.98 % (2152924)Termination reason: Instruction limit
% 12.35/3.98 % (2152924)Termination phase: Property scanning
% 12.35/3.98 % (2152924)Time elapsed: 0.065 s
% 12.35/3.98 % (2152924)Peak memory usage: 173 MB
% 12.35/3.98 % (2152924)Instructions burned: 139 (million)
% 12.35/3.98 % (2152922)Instruction limit reached!
% 12.35/3.98 % (2152922)------------------------------
% 12.35/3.98 % (2152922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/3.98 % (2152922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/3.98 % (2152922)CaDiCaL version: 2.1.3
% 12.35/3.98 % (2152922)Termination reason: Instruction limit
% 12.35/3.98 % (2152922)Termination phase: SInE selection
% 12.35/3.98 % (2152922)Time elapsed: 0.083 s
% 12.35/3.98 % (2152922)Peak memory usage: 173 MB
% 12.35/3.98 % (2152922)Instructions burned: 110 (million)
% 12.35/3.98 % (2152923)Instruction limit reached!
% 12.35/3.98 % (2152923)------------------------------
% 12.35/3.98 % (2152923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/3.98 % (2152923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/3.98 % (2152923)CaDiCaL version: 2.1.3
% 12.35/3.98 % (2152923)Termination reason: Instruction limit
% 12.35/3.98 % (2152923)Termination phase: SInE selection
% 12.35/3.98 % (2152923)Time elapsed: 0.090 s
% 12.35/3.98 % (2152923)Peak memory usage: 173 MB
% 12.35/3.98 % (2152923)Instructions burned: 119 (million)
% 12.35/3.98 % (2152925)Instruction limit reached!
% 12.35/3.98 % (2152925)------------------------------
% 12.35/3.98 % (2152925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/3.98 % (2152925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/3.98 % (2152925)CaDiCaL version: 2.1.3
% 12.35/3.98 % (2152925)Termination reason: Instruction limit
% 12.35/3.98 % (2152925)Termination phase: SInE selection
% 12.35/3.98 % (2152925)Time elapsed: 0.068 s
% 12.35/3.98 % (2152925)Peak memory usage: 173 MB
% 12.35/3.98 % (2152925)Instructions burned: 129 (million)
% 12.35/3.98 % (2152936)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=3428862323:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 12.35/3.98 % (2152933)lrs+10_1_sil=8000:sp=occurrence:random_seed=935674798:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 12.35/3.98 % (2152934)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1520033670:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 12.35/3.98 % (2152935)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2981986530:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 12.35/3.98 % (2152936)Instruction limit reached!
% 18.67/4.78 % (2152936)------------------------------
% 18.67/4.78 % (2152936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152936)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152936)Termination reason: Instruction limit
% 18.67/4.78 % (2152936)Termination phase: Property scanning
% 18.67/4.78 % (2152936)Time elapsed: 0.061 s
% 18.67/4.78 % (2152936)Peak memory usage: 173 MB
% 18.67/4.78 % (2152936)Instructions burned: 248 (million)
% 18.67/4.78 % (2152934)Instruction limit reached!
% 18.67/4.78 % (2152934)------------------------------
% 18.67/4.78 % (2152934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152934)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152934)Termination reason: Instruction limit
% 18.67/4.78 % (2152934)Termination phase: Property scanning
% 18.67/4.78 % (2152934)Time elapsed: 0.074 s
% 18.67/4.78 % (2152934)Peak memory usage: 173 MB
% 18.67/4.78 % (2152934)Instructions burned: 157 (million)
% 18.67/4.78 % (2152941)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3693971381:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 18.67/4.78 % (2152933)Instruction limit reached!
% 18.67/4.78 % (2152933)------------------------------
% 18.67/4.78 % (2152933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152933)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152933)Termination reason: Instruction limit
% 18.67/4.78 % (2152933)Termination phase: SInE selection
% 18.67/4.78 % (2152933)Time elapsed: 0.215 s
% 18.67/4.78 % (2152933)Peak memory usage: 174 MB
% 18.67/4.78 % (2152933)Instructions burned: 285 (million)
% 18.67/4.78 % (2152942)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2544037169:i=2350_2978 on theBenchmark for (2978ds/2350Mi)
% 18.67/4.78 % (2152941)Instruction limit reached!
% 18.67/4.78 % (2152941)------------------------------
% 18.67/4.78 % (2152941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152941)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152941)Termination reason: Instruction limit
% 18.67/4.78 % (2152941)Termination phase: SInE selection
% 18.67/4.78 % (2152941)Time elapsed: 0.118 s
% 18.67/4.78 % (2152941)Peak memory usage: 174 MB
% 18.67/4.78 % (2152941)Instructions burned: 297 (million)
% 18.67/4.78 % (2152935)Instruction limit reached!
% 18.67/4.78 % (2152935)------------------------------
% 18.67/4.78 % (2152935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152935)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152935)Termination reason: Instruction limit
% 18.67/4.78 % (2152935)Termination phase: SInE selection
% 18.67/4.78 % (2152935)Time elapsed: 0.248 s
% 18.67/4.78 % (2152935)Peak memory usage: 174 MB
% 18.67/4.78 % (2152935)Instructions burned: 325 (million)
% 18.67/4.78 % (2152946)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2918794785:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 18.67/4.78 % (2152944)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1175738490:cts=off:i=113:fsr=off:ss=included:sgt=4_2977 on theBenchmark for (2977ds/113Mi)
% 18.67/4.78 % (2152946)Instruction limit reached!
% 18.67/4.78 % (2152946)------------------------------
% 18.67/4.78 % (2152946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.67/4.78 % (2152946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.67/4.78 % (2152946)CaDiCaL version: 2.1.3
% 18.67/4.78 % (2152946)Termination reason: Instruction limit
% 18.67/4.78 % (2152946)Termination phase: Preprocessing 1
% 18.67/4.78 % (2152946)Time elapsed: 0.056 s
% 18.67/4.78 % (2152946)Peak memory usage: 174 MB
% 18.67/4.78 % (2152946)Instructions burned: 128 (million)
% 18.67/4.78 % (2152947)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3251160542:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 18.67/4.78 % (2152944)Instruction limit reached!
% 18.67/4.78 % (2152944)------------------------------
% 18.67/4.78 % (2152944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.86 % (2152944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.86 % (2152944)CaDiCaL version: 2.1.3
% 23.15/5.86 % (2152944)Termination reason: Instruction limit
% 23.15/5.86 % (2152944)Termination phase: SInE selection
% 23.15/5.86 % (2152944)Time elapsed: 0.088 s
% 23.15/5.86 % (2152944)Peak memory usage: 173 MB
% 23.15/5.86 % (2152944)Instructions burned: 114 (million)
% 23.15/5.86 % (2152947)Instruction limit reached!
% 23.15/5.86 % (2152947)------------------------------
% 23.15/5.86 % (2152947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.86 % (2152947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.86 % (2152947)CaDiCaL version: 2.1.3
% 23.15/5.86 % (2152947)Termination reason: Instruction limit
% 23.15/5.86 % (2152947)Termination phase: Property scanning
% 23.15/5.86 % (2152947)Time elapsed: 0.056 s
% 23.15/5.86 % (2152947)Peak memory usage: 173 MB
% 23.15/5.86 % (2152947)Instructions burned: 115 (million)
% 23.15/5.86 % (2152950)lrs+10_1_sil=8000:sp=occurrence:random_seed=1784163022:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 23.15/5.87 % (2152952)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=676648035:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 23.15/5.87 % (2152953)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2058143547:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 23.15/5.87 % (2152952)Instruction limit reached!
% 23.15/5.87 % (2152952)------------------------------
% 23.15/5.87 % (2152952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152952)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152952)Termination reason: Instruction limit
% 23.15/5.87 % (2152952)Termination phase: Preprocessing 1
% 23.15/5.87 % (2152952)Time elapsed: 0.339 s
% 23.15/5.87 % (2152952)Peak memory usage: 175 MB
% 23.15/5.87 % (2152952)Instructions burned: 437 (million)
% 23.15/5.87 % (2152950)Instruction limit reached!
% 23.15/5.87 % (2152950)------------------------------
% 23.15/5.87 % (2152950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152950)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152950)Termination reason: Instruction limit
% 23.15/5.87 % (2152950)Termination phase: Preprocessing 2
% 23.15/5.87 % (2152950)Time elapsed: 0.422 s
% 23.15/5.87 % (2152950)Peak memory usage: 190 MB
% 23.15/5.87 % (2152950)Instructions burned: 907 (million)
% 23.15/5.87 % (2152958)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1970833598:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 23.15/5.87 % (2152957)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=920921200:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2970 on theBenchmark for (2970ds/134Mi)
% 23.15/5.87 % (2152957)Instruction limit reached!
% 23.15/5.87 % (2152957)------------------------------
% 23.15/5.87 % (2152957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152957)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152957)Termination reason: Instruction limit
% 23.15/5.87 % (2152957)Termination phase: SInE selection
% 23.15/5.87 % (2152957)Time elapsed: 0.103 s
% 23.15/5.87 % (2152957)Peak memory usage: 173 MB
% 23.15/5.87 % (2152957)Instructions burned: 134 (million)
% 23.15/5.87 % (2152958)Instruction limit reached!
% 23.15/5.87 % (2152958)------------------------------
% 23.15/5.87 % (2152958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152958)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152958)Termination reason: Instruction limit
% 23.15/5.87 % (2152958)Termination phase: SInE selection
% 23.15/5.87 % (2152958)Time elapsed: 0.212 s
% 23.15/5.87 % (2152958)Peak memory usage: 175 MB
% 23.15/5.87 % (2152958)Instructions burned: 594 (million)
% 23.15/5.87 % (2152961)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1441298050:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 23.15/5.87 % (2152962)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=1007310033:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 23.15/5.87 % (2152962)Instruction limit reached!
% 23.15/5.87 % (2152962)------------------------------
% 23.15/5.87 % (2152962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152962)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152962)Termination reason: Instruction limit
% 23.15/5.87 % (2152962)Termination phase: Property scanning
% 23.15/5.87 % (2152962)Time elapsed: 0.033 s
% 23.15/5.87 % (2152962)Peak memory usage: 173 MB
% 23.15/5.87 % (2152962)Instructions burned: 128 (million)
% 23.15/5.87 % (2152965)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2751812017:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 23.15/5.87 % (2152965)Instruction limit reached!
% 23.15/5.87 % (2152965)------------------------------
% 23.15/5.87 % (2152965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152965)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152965)Termination reason: Instruction limit
% 23.15/5.87 % (2152965)Termination phase: Property scanning
% 23.15/5.87 % (2152965)Time elapsed: 0.035 s
% 23.15/5.87 % (2152965)Peak memory usage: 174 MB
% 23.15/5.87 % (2152965)Instructions burned: 135 (million)
% 23.15/5.87 % (2152967)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=229953727:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 23.15/5.87 % (2152967)Instruction limit reached!
% 23.15/5.87 % (2152967)------------------------------
% 23.15/5.87 % (2152967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152967)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152967)Termination reason: Instruction limit
% 23.15/5.87 % (2152967)Termination phase: SInE selection
% 23.15/5.87 % (2152967)Time elapsed: 0.062 s
% 23.15/5.87 % (2152967)Peak memory usage: 173 MB
% 23.15/5.87 % (2152967)Instructions burned: 142 (million)
% 23.15/5.87 % (2152969)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1647663934:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 23.15/5.87 % (2152942)Instruction limit reached!
% 23.15/5.87 % (2152942)------------------------------
% 23.15/5.87 % (2152942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152942)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152942)Termination reason: Instruction limit
% 23.15/5.87 % (2152942)Termination phase: Preprocessing 3
% 23.15/5.87 % (2152942)Time elapsed: 1.644 s
% 23.15/5.87 % (2152942)Peak memory usage: 276 MB
% 23.15/5.87 % (2152942)Instructions burned: 2351 (million)
% 23.15/5.87 % (2152969)Instruction limit reached!
% 23.15/5.87 % (2152969)------------------------------
% 23.15/5.87 % (2152969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152969)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152969)Termination reason: Instruction limit
% 23.15/5.87 % (2152969)Termination phase: Unused predicate definition removal
% 23.15/5.87 % (2152969)Time elapsed: 0.199 s
% 23.15/5.87 % (2152969)Peak memory usage: 177 MB
% 23.15/5.87 % (2152969)Instructions burned: 432 (million)
% 23.15/5.87 % (2152971)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=818874823:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 23.15/5.87 % (2152972)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1833624530:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 23.15/5.87 % (2152972)Instruction limit reached!
% 23.15/5.87 % (2152972)------------------------------
% 23.15/5.87 % (2152972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.87 % (2152972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.87 % (2152972)CaDiCaL version: 2.1.3
% 23.15/5.87 % (2152972)Termination reason: Instruction limit
% 23.15/5.87 % (2152972)Termination phase: SInE selection
% 23.15/5.87 % (2152972)Time elapsed: 0.066 s
% 23.15/5.87 % (2152972)Peak memory usage: 173 MB
% 23.15/5.87 % (2152972)Instructions burned: 152 (million)
% 23.15/5.87 % (2152975)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=124451745:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 23.15/5.87 % (2152921)First to succeed.
% 23.15/5.87 % (2152921)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2152914"
% 23.15/5.87 % (2152921)Refutation found. Thanks to Tanya!
% 23.15/5.87 % SZS status Theorem for theBenchmark
% 23.15/5.87 % SZS output start Proof for theBenchmark
% See solution above
% 27.10/5.99 % (2152921)------------------------------
% 27.10/5.99 % (2152921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.10/5.99 % (2152921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.10/5.99 % (2152921)CaDiCaL version: 2.1.3
% 27.10/5.99 % (2152921)Termination reason: Refutation
% 27.10/5.99 % (2152921)Time elapsed: 3.096 s
% 27.10/5.99 % (2152921)Peak memory usage: 280 MB
% 27.10/5.99 % (2152921)Instructions burned: 4956 (million)
% 27.10/5.99 % (2152921)------------------------------
% 27.10/5.99 % (2152921)------------------------------
% 27.10/5.99 % (2152914)Success in time 5.216 s
% 27.10/5.99 % Vampire exiting
%------------------------------------------------------------------------------