%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT362+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 : n005.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 11:47:21 AM UTC 2026
% Result : Theorem 17.97s 7.25s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 11 unt; 5 def)
% Number of atoms : 408 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 485 ( 165 ~; 188 |; 113 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 6 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f588,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f38807,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d41_functor0) ).
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(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(f55724,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_waybel34) ).
fof(f55725,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f55724]) ).
fof(f55776,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(f55777,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(f55778,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(f55836,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(f55837,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(f55849,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(f55853,plain,
? [X0] :
( ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55725]) ).
fof(f55930,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f588]) ).
fof(f56599,plain,
! [X0] :
( ! [X1] :
( ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f38807]) ).
fof(f56600,plain,
! [X0] :
( ! [X1] :
( ( r2_functor0(X0,X1)
<=> ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f56599]) ).
fof(f56645,plain,
( ~ r2_functor0(k4_waybel34(sK21),k5_waybel34(sK21))
& ~ v2_setfam_1(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f55853]) ).
fof(f56869,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ? [X2] :
( m2_functor0(X2,X0,X1)
& v21_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(nnf_transformation,[],[f56600]) ).
fof(f56870,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ? [X3] :
( m2_functor0(X3,X0,X1)
& v21_functor0(X3,X0,X1)
& v16_functor0(X3,X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(rectify,[],[f56869]) ).
fof(f56871,plain,
! [X0] :
( ! [X1] :
( ( ( r2_functor0(X0,X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1) ) )
& ( ( m2_functor0(sK166(X0,X1),X0,X1)
& v21_functor0(sK166(X0,X1),X0,X1)
& v16_functor0(sK166(X0,X1),X0,X1) )
| ~ r2_functor0(X0,X1) ) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166]),skolemize(X3,sK166(X0,X1))],[f56870]) ).
fof(f56881,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55776]) ).
fof(f56888,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f55777]) ).
fof(f56895,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55778]) ).
fof(f56896,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55778]) ).
fof(f57063,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55836]) ).
fof(f57067,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55836]) ).
fof(f57068,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55836]) ).
fof(f57076,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55837]) ).
fof(f57080,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55837]) ).
fof(f57081,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55837]) ).
fof(f57125,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55849]) ).
fof(f57145,plain,
~ v2_setfam_1(sK21),
inference(cnf_transformation,[],[f56645]) ).
fof(f57146,plain,
~ r2_functor0(k4_waybel34(sK21),k5_waybel34(sK21)),
inference(cnf_transformation,[],[f56645]) ).
fof(f57329,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f55930]) ).
fof(f58467,plain,
! [X2,X0,X1] :
( r2_functor0(X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f56871]) ).
fof(f58780,definition,
( spl216_1
<=> v2_setfam_1(sK21) ),
introduced(definition,[new_symbols(definition,[spl216_1])],[avatar_definition]) ).
fof(f58782,plain,
( ~ v2_setfam_1(sK21)
| spl216_1 ),
inference(avatar_component_clause,[],[f58780]) ).
fof(f58783,plain,
~ spl216_1,
inference(avatar_split_clause,[],[f57145,f58780]) ).
fof(f58785,definition,
( spl216_2
<=> r2_functor0(k4_waybel34(sK21),k5_waybel34(sK21)) ),
introduced(definition,[new_symbols(definition,[spl216_2])],[avatar_definition]) ).
fof(f58787,plain,
( ~ r2_functor0(k4_waybel34(sK21),k5_waybel34(sK21))
| spl216_2 ),
inference(avatar_component_clause,[],[f58785]) ).
fof(f58788,plain,
~ spl216_2,
inference(avatar_split_clause,[],[f57146,f58785]) ).
fof(f58789,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| v3_struct_0(k5_waybel34(sK21))
| ~ v2_altcat_1(k5_waybel34(sK21))
| ~ v12_altcat_1(k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| v3_struct_0(k4_waybel34(sK21))
| ~ v2_altcat_1(k4_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_2 ),
inference(resolution,[],[f58787,f58467]) ).
fof(f58849,plain,
( v12_altcat_1(k4_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57063]) ).
fof(f58853,plain,
( v2_altcat_1(k4_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57067]) ).
fof(f58854,plain,
( ~ v3_struct_0(k4_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57068]) ).
fof(f58862,plain,
( v12_altcat_1(k5_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57076]) ).
fof(f58866,plain,
( v2_altcat_1(k5_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57080]) ).
fof(f58867,plain,
( ~ v3_struct_0(k5_waybel34(sK21))
| spl216_1 ),
inference(resolution,[],[f58782,f57081]) ).
fof(f58935,plain,
( ~ v1_xboole_0(sK21)
| spl216_1 ),
inference(resolution,[],[f58782,f57329]) ).
fof(f58958,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v2_altcat_1(k5_waybel34(sK21))
| ~ v12_altcat_1(k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| v3_struct_0(k4_waybel34(sK21))
| ~ v2_altcat_1(k4_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(backward_subsumption_resolution,[],[f58789,f58867]) ).
fof(f58972,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v12_altcat_1(k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| v3_struct_0(k4_waybel34(sK21))
| ~ v2_altcat_1(k4_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(forward_subsumption_resolution,[],[f58958,f58866]) ).
fof(f58979,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| v3_struct_0(k4_waybel34(sK21))
| ~ v2_altcat_1(k4_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(forward_subsumption_resolution,[],[f58972,f58862]) ).
fof(f58983,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| ~ v2_altcat_1(k4_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(forward_subsumption_resolution,[],[f58979,f58854]) ).
fof(f58986,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| ~ v12_altcat_1(k4_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(forward_subsumption_resolution,[],[f58983,f58853]) ).
fof(f58988,plain,
( ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ l2_altcat_1(k5_waybel34(sK21))
| ~ l2_altcat_1(k4_waybel34(sK21)) )
| spl216_1
| spl216_2 ),
inference(forward_subsumption_resolution,[],[f58986,f58849]) ).
fof(f58991,definition,
( spl216_3
<=> l2_altcat_1(k4_waybel34(sK21)) ),
introduced(definition,[new_symbols(definition,[spl216_3])],[avatar_definition]) ).
fof(f58993,plain,
( ~ l2_altcat_1(k4_waybel34(sK21))
| spl216_3 ),
inference(avatar_component_clause,[],[f58991]) ).
fof(f58995,definition,
( spl216_4
<=> l2_altcat_1(k5_waybel34(sK21)) ),
introduced(definition,[new_symbols(definition,[spl216_4])],[avatar_definition]) ).
fof(f58997,plain,
( ~ l2_altcat_1(k5_waybel34(sK21))
| spl216_4 ),
inference(avatar_component_clause,[],[f58995]) ).
fof(f58999,definition,
( spl216_5
<=> ! [X0] :
( ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21)) ) ),
introduced(definition,[new_symbols(definition,[spl216_5])],[avatar_definition]) ).
fof(f59000,plain,
( ! [X0] :
( ~ v21_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ v16_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21))
| ~ m2_functor0(X0,k4_waybel34(sK21),k5_waybel34(sK21)) )
| ~ spl216_5 ),
inference(avatar_component_clause,[],[f58999]) ).
fof(f59001,plain,
( ~ spl216_3
| ~ spl216_4
| spl216_5
| spl216_1
| spl216_2 ),
inference(avatar_split_clause,[],[f58988,f58785,f58780,f58999,f58995,f58991]) ).
fof(f59002,plain,
( v1_xboole_0(sK21)
| spl216_3 ),
inference(resolution,[],[f58993,f56881]) ).
fof(f59020,plain,
( $false
| spl216_1
| spl216_3 ),
inference(forward_subsumption_resolution,[],[f59002,f58935]) ).
fof(f59021,plain,
( spl216_1
| spl216_3 ),
inference(avatar_contradiction_clause,[],[f59020]) ).
fof(f59023,plain,
( v1_xboole_0(sK21)
| spl216_4 ),
inference(resolution,[],[f58997,f56888]) ).
fof(f59041,plain,
( $false
| spl216_1
| spl216_4 ),
inference(forward_subsumption_resolution,[],[f59023,f58935]) ).
fof(f59042,plain,
( spl216_1
| spl216_4 ),
inference(avatar_contradiction_clause,[],[f59041]) ).
fof(f59046,plain,
( ~ v16_functor0(k6_waybel34(sK21),k4_waybel34(sK21),k5_waybel34(sK21))
| ~ m2_functor0(k6_waybel34(sK21),k4_waybel34(sK21),k5_waybel34(sK21))
| v2_setfam_1(sK21)
| ~ spl216_5 ),
inference(resolution,[],[f59000,f57125]) ).
fof(f59068,plain,
( ~ m2_functor0(k6_waybel34(sK21),k4_waybel34(sK21),k5_waybel34(sK21))
| v2_setfam_1(sK21)
| ~ spl216_5 ),
inference(forward_subsumption_resolution,[],[f59046,f56896]) ).
fof(f59073,plain,
( v2_setfam_1(sK21)
| ~ spl216_5 ),
inference(forward_subsumption_resolution,[],[f59068,f56895]) ).
fof(f59078,plain,
( $false
| spl216_1
| ~ spl216_5 ),
inference(forward_subsumption_resolution,[],[f59073,f58782]) ).
fof(f59079,plain,
( spl216_1
| ~ spl216_5 ),
inference(avatar_contradiction_clause,[],[f59078]) ).
cnf(s1,plain,
~ spl216_1,
inference(sat_conversion,[],[f58783]) ).
cnf(s2,plain,
~ spl216_2,
inference(sat_conversion,[],[f58788]) ).
cnf(s3,plain,
( spl216_1
| spl216_2
| ~ spl216_3
| ~ spl216_4
| spl216_5 ),
inference(sat_conversion,[],[f59001]) ).
cnf(s4,plain,
( spl216_1
| spl216_3 ),
inference(sat_conversion,[],[f59021]) ).
cnf(s5,plain,
( spl216_1
| spl216_4 ),
inference(sat_conversion,[],[f59042]) ).
cnf(s6,plain,
( spl216_1
| ~ spl216_5 ),
inference(sat_conversion,[],[f59079]) ).
cnf(s7,plain,
~ spl216_5,
inference(rat,[],[s6,s1]) ).
cnf(s8,plain,
spl216_4,
inference(rat,[],[s5,s1]) ).
cnf(s9,plain,
spl216_3,
inference(rat,[],[s4,s1]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s7,s8,s2,s9,s1]) ).
fof(f59100,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:01:45 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 16.52/6.75 % (4093729)Detected formulas, will run a generic FOF schedule.
% 16.52/6.75 % (4093737)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=890250863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2958 on theBenchmark for (2958ds/109Mi)
% 16.52/6.75 % (4093738)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3408731589:i=119:av=off:ss=axioms_2958 on theBenchmark for (2958ds/119Mi)
% 16.52/6.75 % (4093734)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=1068804238:i=141193_2958 on theBenchmark for (2958ds/141193Mi)
% 16.52/6.75 % (4093736)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=358038346:i=141695:sd=1:nm=32:gsp=on:ss=included_2958 on theBenchmark for (2958ds/141695Mi)
% 16.52/6.75 % (4093735)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=934617295:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2958 on theBenchmark for (2958ds/134677Mi)
% 16.52/6.75 % (4093737)Instruction limit reached!
% 16.52/6.75 % (4093737)------------------------------
% 16.52/6.75 % (4093737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.52/6.75 % (4093737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.52/6.75 % (4093737)CaDiCaL version: 2.1.3
% 16.52/6.75 % (4093737)Termination reason: Instruction limit
% 16.52/6.75 % (4093737)Termination phase: SInE selection
% 16.52/6.75 % (4093737)Time elapsed: 0.051 s
% 16.52/6.75 % (4093737)Peak memory usage: 173 MB
% 16.52/6.75 % (4093737)Instructions burned: 110 (million)
% 16.52/6.75 % (4093740)dis-21_1_sil=8000:lcm=predicate:random_seed=2242582424:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2958 on theBenchmark for (2958ds/129Mi)
% 16.52/6.75 % (4093739)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=864798088:s2a=on:i=139:gtg=position_2958 on theBenchmark for (2958ds/139Mi)
% 16.52/6.75 % (4093739)Instruction limit reached!
% 16.52/6.75 % (4093739)------------------------------
% 16.52/6.75 % (4093739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.52/6.75 % (4093739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.52/6.75 % (4093739)CaDiCaL version: 2.1.3
% 16.52/6.75 % (4093739)Termination reason: Instruction limit
% 16.52/6.75 % (4093739)Termination phase: Property scanning
% 16.52/6.75 % (4093739)Time elapsed: 0.067 s
% 16.52/6.75 % (4093739)Peak memory usage: 173 MB
% 16.52/6.75 % (4093739)Instructions burned: 139 (million)
% 16.52/6.75 % (4093738)Instruction limit reached!
% 16.52/6.75 % (4093738)------------------------------
% 16.52/6.75 % (4093738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.52/6.75 % (4093738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.52/6.75 % (4093738)CaDiCaL version: 2.1.3
% 16.52/6.75 % (4093738)Termination reason: Instruction limit
% 16.52/6.75 % (4093738)Termination phase: SInE selection
% 16.52/6.75 % (4093738)Time elapsed: 0.092 s
% 16.52/6.75 % (4093738)Peak memory usage: 173 MB
% 16.52/6.75 % (4093738)Instructions burned: 120 (million)
% 16.52/6.75 % (4093748)lrs+10_1_sil=8000:sp=occurrence:random_seed=3465677590:i=285:sd=3:ss=axioms:sgt=8_2957 on theBenchmark for (2957ds/285Mi)
% 16.52/6.75 % (4093740)Instruction limit reached!
% 16.52/6.75 % (4093740)------------------------------
% 16.52/6.75 % (4093740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.52/6.75 % (4093740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.52/6.75 % (4093740)CaDiCaL version: 2.1.3
% 16.52/6.75 % (4093740)Termination reason: Instruction limit
% 16.52/6.75 % (4093740)Termination phase: SInE selection
% 16.52/6.75 % (4093740)Time elapsed: 0.100 s
% 16.52/6.75 % (4093740)Peak memory usage: 173 MB
% 16.52/6.75 % (4093740)Instructions burned: 129 (million)
% 16.52/6.75 % (4093750)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1539280294:i=325:sd=1:ss=axioms:sgt=32_2956 on theBenchmark for (2956ds/325Mi)
% 16.52/6.75 % (4093749)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3327313002:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/157Mi)
% 16.52/6.75 % (4093748)Instruction limit reached!
% 16.52/6.75 % (4093748)------------------------------
% 16.52/6.75 % (4093748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.52/6.75 % (4093748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093748)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093748)Termination reason: Instruction limit
% 17.97/7.24 % (4093748)Termination phase: SInE selection
% 17.97/7.24 % (4093748)Time elapsed: 0.123 s
% 17.97/7.24 % (4093748)Peak memory usage: 174 MB
% 17.97/7.24 % (4093748)Instructions burned: 287 (million)
% 17.97/7.24 % (4093752)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=1389500333:s2a=on:i=248:s2at=1.23:gtg=position_2956 on theBenchmark for (2956ds/248Mi)
% 17.97/7.24 % (4093749)Instruction limit reached!
% 17.97/7.24 % (4093749)------------------------------
% 17.97/7.24 % (4093749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093749)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093749)Termination reason: Instruction limit
% 17.97/7.24 % (4093749)Termination phase: Property scanning
% 17.97/7.24 % (4093749)Time elapsed: 0.075 s
% 17.97/7.24 % (4093749)Peak memory usage: 173 MB
% 17.97/7.24 % (4093749)Instructions burned: 157 (million)
% 17.97/7.24 % (4093755)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=52649409:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2955 on theBenchmark for (2955ds/294Mi)
% 17.97/7.24 % (4093752)Instruction limit reached!
% 17.97/7.24 % (4093752)------------------------------
% 17.97/7.24 % (4093752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093752)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093752)Termination reason: Instruction limit
% 17.97/7.24 % (4093752)Termination phase: Property scanning
% 17.97/7.24 % (4093752)Time elapsed: 0.114 s
% 17.97/7.24 % (4093752)Peak memory usage: 173 MB
% 17.97/7.24 % (4093752)Instructions burned: 249 (million)
% 17.97/7.24 % (4093755)Instruction limit reached!
% 17.97/7.24 % (4093755)------------------------------
% 17.97/7.24 % (4093755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093755)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093755)Termination reason: Instruction limit
% 17.97/7.24 % (4093755)Termination phase: SInE selection
% 17.97/7.24 % (4093755)Time elapsed: 0.118 s
% 17.97/7.24 % (4093755)Peak memory usage: 174 MB
% 17.97/7.24 % (4093755)Instructions burned: 296 (million)
% 17.97/7.24 % (4093750)Instruction limit reached!
% 17.97/7.24 % (4093750)------------------------------
% 17.97/7.24 % (4093750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093750)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093750)Termination reason: Instruction limit
% 17.97/7.24 % (4093750)Termination phase: SInE selection
% 17.97/7.24 % (4093750)Time elapsed: 0.238 s
% 17.97/7.24 % (4093750)Peak memory usage: 174 MB
% 17.97/7.24 % (4093750)Instructions burned: 326 (million)
% 17.97/7.24 % (4093757)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=888607997:i=2350_2954 on theBenchmark for (2954ds/2350Mi)
% 17.97/7.24 % (4093759)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2955438906:cts=off:i=113:fsr=off:ss=included:sgt=4_2953 on theBenchmark for (2953ds/113Mi)
% 17.97/7.24 % (4093760)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=401901382:i=127:av=off:fsr=off:sup=off_2953 on theBenchmark for (2953ds/127Mi)
% 17.97/7.24 % (4093760)Instruction limit reached!
% 17.97/7.24 % (4093760)------------------------------
% 17.97/7.24 % (4093760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093760)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093760)Termination reason: Instruction limit
% 17.97/7.24 % (4093760)Termination phase: Preprocessing 1
% 17.97/7.24 % (4093760)Time elapsed: 0.059 s
% 17.97/7.24 % (4093760)Peak memory usage: 174 MB
% 17.97/7.24 % (4093760)Instructions burned: 128 (million)
% 17.97/7.24 % (4093759)Instruction limit reached!
% 17.97/7.24 % (4093759)------------------------------
% 17.97/7.24 % (4093759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093759)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093759)Termination reason: Instruction limit
% 17.97/7.24 % (4093759)Termination phase: SInE selection
% 17.97/7.24 % (4093759)Time elapsed: 0.089 s
% 17.97/7.24 % (4093759)Peak memory usage: 173 MB
% 17.97/7.24 % (4093759)Instructions burned: 113 (million)
% 17.97/7.24 % (4093762)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1826600231:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2952 on theBenchmark for (2952ds/114Mi)
% 17.97/7.24 % (4093762)Instruction limit reached!
% 17.97/7.24 % (4093762)------------------------------
% 17.97/7.24 % (4093762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093762)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093762)Termination reason: Instruction limit
% 17.97/7.24 % (4093762)Termination phase: Property scanning
% 17.97/7.24 % (4093762)Time elapsed: 0.056 s
% 17.97/7.24 % (4093762)Peak memory usage: 173 MB
% 17.97/7.24 % (4093762)Instructions burned: 114 (million)
% 17.97/7.24 % (4093767)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1126999145:i=437:sd=1:aac=none:ss=included_2951 on theBenchmark for (2951ds/437Mi)
% 17.97/7.24 % (4093766)lrs+10_1_sil=8000:sp=occurrence:random_seed=2840671512:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2951 on theBenchmark for (2951ds/907Mi)
% 17.97/7.24 % (4093768)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=504042646:i=5202:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/5202Mi)
% 17.97/7.24 % (4093767)Instruction limit reached!
% 17.97/7.24 % (4093767)------------------------------
% 17.97/7.24 % (4093767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.24 % (4093767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.24 % (4093767)CaDiCaL version: 2.1.3
% 17.97/7.24 % (4093767)Termination reason: Instruction limit
% 17.97/7.24 % (4093767)Termination phase: Preprocessing 2
% 17.97/7.24 % (4093767)Time elapsed: 0.203 s
% 17.97/7.24 % (4093767)Peak memory usage: 176 MB
% 17.97/7.24 % (4093767)Instructions burned: 437 (million)
% 17.97/7.24 % (4093772)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3920607269:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2948 on theBenchmark for (2948ds/134Mi)
% 17.97/7.25 % (4093772)Instruction limit reached!
% 17.97/7.25 % (4093772)------------------------------
% 17.97/7.25 % (4093772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.25 % (4093772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.25 % (4093772)CaDiCaL version: 2.1.3
% 17.97/7.25 % (4093772)Termination reason: Instruction limit
% 17.97/7.25 % (4093772)Termination phase: SInE selection
% 17.97/7.25 % (4093772)Time elapsed: 0.060 s
% 17.97/7.25 % (4093772)Peak memory usage: 173 MB
% 17.97/7.25 % (4093772)Instructions burned: 135 (million)
% 17.97/7.25 % (4093774)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=519395893:st=8:i=592:sd=3:ep=RST:ss=axioms_2946 on theBenchmark for (2946ds/592Mi)
% 17.97/7.25 % (4093774)Instruction limit reached!
% 17.97/7.25 % (4093774)------------------------------
% 17.97/7.25 % (4093774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.25 % (4093774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.25 % (4093774)CaDiCaL version: 2.1.3
% 17.97/7.25 % (4093774)Termination reason: Instruction limit
% 17.97/7.25 % (4093774)Termination phase: SInE selection
% 17.97/7.25 % (4093774)Time elapsed: 0.211 s
% 17.97/7.25 % (4093774)Peak memory usage: 175 MB
% 17.97/7.25 % (4093774)Instructions burned: 593 (million)
% 17.97/7.25 % (4093776)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3023384358:st=3:i=13193:sd=3:ss=axioms_2943 on theBenchmark for (2943ds/13193Mi)
% 17.97/7.25 % (4093766)Instruction limit reached!
% 17.97/7.25 % (4093766)------------------------------
% 17.97/7.25 % (4093766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.25 % (4093766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.25 % (4093766)CaDiCaL version: 2.1.3
% 17.97/7.25 % (4093766)Termination reason: Instruction limit
% 17.97/7.25 % (4093766)Termination phase: Naming
% 17.97/7.25 % (4093766)Time elapsed: 0.738 s
% 17.97/7.25 % (4093766)Peak memory usage: 193 MB
% 17.97/7.25 % (4093766)Instructions burned: 907 (million)
% 17.97/7.25 % (4093778)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=833180204:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/125Mi)
% 17.97/7.25 % (4093778)Instruction limit reached!
% 17.97/7.25 % (4093778)------------------------------
% 17.97/7.25 % (4093778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.25 % (4093778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.25 % (4093778)CaDiCaL version: 2.1.3
% 17.97/7.25 % (4093778)Termination reason: Instruction limit
% 17.97/7.25 % (4093778)Termination phase: Property scanning
% 17.97/7.25 % (4093778)Time elapsed: 0.061 s
% 17.97/7.25 % (4093778)Peak memory usage: 173 MB
% 17.97/7.25 % (4093778)Instructions burned: 127 (million)
% 17.97/7.25 % (4093736)First to succeed.
% 17.97/7.25 % (4093736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4093729"
% 17.97/7.25 % (4093780)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3702185209:i=134:gtgl=5:slsql=off:gtg=exists_sym_2940 on theBenchmark for (2940ds/134Mi)
% 17.97/7.25 % (4093780)Instruction limit reached!
% 17.97/7.25 % (4093780)------------------------------
% 17.97/7.25 % (4093780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/7.25 % (4093780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/7.25 % (4093780)CaDiCaL version: 2.1.3
% 17.97/7.25 % (4093780)Termination reason: Instruction limit
% 17.97/7.25 % (4093780)Termination phase: Property scanning
% 17.97/7.25 % (4093780)Time elapsed: 0.066 s
% 17.97/7.25 % (4093780)Peak memory usage: 173 MB
% 17.97/7.25 % (4093780)Instructions burned: 136 (million)
% 17.97/7.25 % (4093782)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3660199288:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2938 on theBenchmark for (2938ds/141Mi)
% 17.97/7.25 % (4093736)Refutation found. Thanks to Tanya!
% 17.97/7.25 % SZS status Theorem for theBenchmark
% 17.97/7.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/7.50 % (4093736)------------------------------
% 0.18/7.50 % (4093736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/7.50 % (4093736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/7.50 % (4093736)CaDiCaL version: 2.1.3
% 0.18/7.50 % (4093736)Termination reason: Refutation
% 0.18/7.50 % (4093736)Time elapsed: 1.788 s
% 0.18/7.50 % (4093736)Peak memory usage: 260 MB
% 0.18/7.50 % (4093736)Instructions burned: 2512 (million)
% 0.18/7.50 % (4093736)------------------------------
% 0.18/7.50 % (4093736)------------------------------
% 0.18/7.50 % (4093729)Success in time 6.372 s
% 0.18/7.50 % Vampire exiting
%------------------------------------------------------------------------------