%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:47:51 PM UTC 2026
% Result : Theorem 2.48s 1.25s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 77 ( 8 unt; 3 def)
% Number of atoms : 317 ( 52 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 389 ( 149 ~; 157 |; 64 &)
% ( 10 <=>; 7 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn 105 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f11,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f18,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f23,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l82_funct_1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<=> ( in(X1,relation_dom(X2))
& in(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f36,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f48,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f53,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f54,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f53]) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(X1,X0) ) )
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(X1,X0) ) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f58]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( X1 = relation_dom_restriction(X2,X0)
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f63]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),X0)
| ~ in(sK0(X0,X1,X2),X1)
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK0(X0,X1,X2),X0)
& in(sK0(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f70]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(X2))
| ~ in(X1,X0)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
& ( ( in(X1,relation_dom(X2))
& in(X1,X0) )
| in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
& relation(X2)
& function(X2) ),
inference(nnf_transformation,[],[f59]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(X2))
| ~ in(X1,X0)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
& ( ( in(X1,relation_dom(X2))
& in(X1,X0) )
| in(X1,relation_dom(relation_dom_restriction(X2,X0))) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
( ( ~ in(sK3,relation_dom(sK4))
| ~ in(sK3,sK2)
| ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) )
& ( ( in(sK3,relation_dom(sK4))
& in(sK3,sK2) )
| in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) )
& relation(sK4)
& function(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f74]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X1 = relation_dom_restriction(X2,X0)
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ( apply(X1,sK13(X1,X2)) != apply(X2,sK13(X1,X2))
& in(sK13(X1,X2),relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X4] :
( apply(X1,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X1,X2))],[f86]) ).
fof(f94,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f95,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f96,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f100,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f109,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f117,plain,
function(sK4),
inference(cnf_transformation,[],[f75]) ).
fof(f118,plain,
relation(sK4),
inference(cnf_transformation,[],[f75]) ).
fof(f119,plain,
( in(sK3,sK2)
| in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f120,plain,
( in(sK3,relation_dom(sK4))
| in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f121,plain,
( ~ in(sK3,relation_dom(sK4))
| ~ in(sK3,sK2)
| ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f141,plain,
! [X2,X0,X1] :
( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
| relation_dom_restriction(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f147,plain,
! [X0,X1,X4] :
( ~ in(X4,X0)
| in(X4,set_intersection2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f96]) ).
fof(f148,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f95]) ).
fof(f149,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f94]) ).
fof(f150,plain,
! [X2,X0] :
( relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(relation_dom_restriction(X2,X0))
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(equality_resolution,[],[f141]) ).
fof(f153,definition,
( spl14_1
<=> in(sK3,relation_dom(relation_dom_restriction(sK4,sK2))) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f154,plain,
( ~ in(sK3,relation_dom(relation_dom_restriction(sK4,sK2)))
| spl14_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f155,plain,
( in(sK3,relation_dom(relation_dom_restriction(sK4,sK2)))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,definition,
( spl14_2
<=> in(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f159,plain,
( in(sK3,sK2)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f119,f157,f153]) ).
fof(f162,definition,
( spl14_3
<=> in(sK3,relation_dom(sK4)) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f163,plain,
( ~ in(sK3,relation_dom(sK4))
| spl14_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( in(sK3,relation_dom(sK4))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl14_1
| spl14_3 ),
inference(avatar_split_clause,[],[f120,f162,f153]) ).
fof(f166,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f121,f162,f157,f153]) ).
fof(f195,plain,
( ! [X0] :
( ~ in(sK3,X0)
| in(sK3,set_intersection2(relation_dom(sK4),X0)) )
| ~ spl14_3 ),
inference(resolution,[],[f147,f164]) ).
fof(f217,plain,
! [X2,X0] :
( relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0)
| ~ relation(X2)
| ~ function(X2)
| ~ function(relation_dom_restriction(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f150,f100]) ).
fof(f218,plain,
! [X2,X0] :
( ~ function(X2)
| ~ relation(X2)
| relation_dom(relation_dom_restriction(X2,X0)) = set_intersection2(relation_dom(X2),X0) ),
inference(forward_subsumption_resolution,[],[f217,f109]) ).
fof(f222,plain,
! [X0] :
( ~ relation(sK4)
| set_intersection2(relation_dom(sK4),X0) = relation_dom(relation_dom_restriction(sK4,X0)) ),
inference(resolution,[],[f218,f117]) ).
fof(f229,plain,
! [X0] : set_intersection2(relation_dom(sK4),X0) = relation_dom(relation_dom_restriction(sK4,X0)),
inference(forward_subsumption_resolution,[],[f222,f118]) ).
fof(f250,plain,
( in(sK3,set_intersection2(relation_dom(sK4),sK2))
| ~ spl14_2
| ~ spl14_3 ),
inference(resolution,[],[f195,f159]) ).
fof(f269,plain,
( in(sK3,relation_dom(relation_dom_restriction(sK4,sK2)))
| ~ spl14_2
| ~ spl14_3 ),
inference(superposition,[],[f250,f229]) ).
fof(f271,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(relation_dom_restriction(sK4,X0)))
| in(X1,X0) ),
inference(superposition,[],[f149,f229]) ).
fof(f272,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(relation_dom_restriction(sK4,X0)))
| in(X1,relation_dom(sK4)) ),
inference(superposition,[],[f148,f229]) ).
fof(f283,plain,
( $false
| spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f269,f154]) ).
fof(f284,plain,
( spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f702,plain,
( in(sK3,sK2)
| ~ spl14_1 ),
inference(resolution,[],[f271,f155]) ).
fof(f726,plain,
( spl14_2
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f702,f153,f157]) ).
fof(f770,plain,
( in(sK3,relation_dom(sK4))
| ~ spl14_1 ),
inference(resolution,[],[f272,f155]) ).
fof(f781,plain,
( $false
| ~ spl14_1
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f770,f163]) ).
fof(f782,plain,
( ~ spl14_1
| spl14_3 ),
inference(avatar_contradiction_clause,[],[f781]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f160]) ).
cnf(s2,plain,
( spl14_1
| spl14_3 ),
inference(sat_conversion,[],[f165]) ).
cnf(s3,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f166]) ).
cnf(s5,plain,
( spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f284]) ).
cnf(s28,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f726]) ).
cnf(s31,plain,
( ~ spl14_1
| spl14_3 ),
inference(sat_conversion,[],[f782]) ).
cnf(s44,plain,
spl14_1,
inference(rat,[],[s5,s1,s2]) ).
cnf(s45,plain,
spl14_3,
inference(rat,[],[s31,s44]) ).
cnf(s46,plain,
spl14_2,
inference(rat,[],[s28,s44]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s3,s45,s46,s44]) ).
fof(f783,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU224+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.35 % Computer : n014.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 28 04:09:32 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 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
% 2.48/1.25 % (1423752)Detected formulas, will run a generic FOF schedule.
% 2.48/1.25 % (1423760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3060154946:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.48/1.25 % (1423760)Refutation not found, incomplete strategy
% 2.48/1.25 % (1423760)------------------------------
% 2.48/1.25 % (1423760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.25 % (1423760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.25 % (1423760)CaDiCaL version: 2.1.3
% 2.48/1.25 % (1423760)Termination reason: Refutation not found, incomplete strategy
% 2.48/1.25 % (1423760)Time elapsed: 0.001 s
% 2.48/1.25 % (1423760)Peak memory usage: 88 MB
% 2.48/1.25 % (1423760)Instructions burned: 1 (million)
% 2.48/1.25 % (1423761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2061391105:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.48/1.25 % (1423759)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=2701212497:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.48/1.25 % (1423763)dis-21_1_sil=8000:lcm=predicate:random_seed=2151411424:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.48/1.25 % (1423761)Refutation not found, incomplete strategy
% 2.48/1.25 % (1423761)------------------------------
% 2.48/1.25 % (1423761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.25 % (1423761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.25 % (1423761)CaDiCaL version: 2.1.3
% 2.48/1.25 % (1423761)Termination reason: Refutation not found, incomplete strategy
% 2.48/1.25 % (1423761)Time elapsed: 0.002 s
% 2.48/1.25 % (1423761)Peak memory usage: 88 MB
% 2.48/1.25 % (1423761)Instructions burned: 1 (million)
% 2.48/1.25 % (1423757)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=954584799:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.48/1.25 % (1423758)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=876389826:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.48/1.25 % (1423762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=865792002:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.48/1.25 % (1423762)First to succeed.
% 2.48/1.25 % (1423762)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1423752"
% 2.48/1.25 % (1423763)Instruction limit reached!
% 2.48/1.25 % (1423763)------------------------------
% 2.48/1.25 % (1423763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.25 % (1423763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.25 % (1423763)CaDiCaL version: 2.1.3
% 2.48/1.25 % (1423763)Termination reason: Instruction limit
% 2.48/1.25 % (1423763)Termination phase: Saturation
% 2.48/1.25 % (1423763)Time elapsed: 0.071 s
% 2.48/1.25 % (1423763)Peak memory usage: 89 MB
% 2.48/1.25 % (1423763)Instructions burned: 130 (million)
% 2.48/1.25 % (1423760)------------------------------
% 2.48/1.25 % (1423760)------------------------------
% 2.48/1.25 % (1423771)lrs+10_1_sil=8000:sp=occurrence:random_seed=3335307172:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.48/1.25 % (1423772)lrs+10_1_sil=32000:urr=on:br=off:random_seed=611591985:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.48/1.25 % (1423771)Also succeeded, but the first one will report.
% 2.48/1.25 % (1423772)Also succeeded, but the first one will report.
% 2.48/1.25 % (1423761)------------------------------
% 2.48/1.25 % (1423761)------------------------------
% 2.48/1.25 % (1423762)Refutation found. Thanks to Tanya!
% 2.48/1.25 % SZS status Theorem for theBenchmark
% 2.48/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.44 % (1423762)------------------------------
% 3.67/1.44 % (1423762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.44 % (1423762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.44 % (1423762)CaDiCaL version: 2.1.3
% 3.67/1.44 % (1423762)Termination reason: Refutation
% 3.67/1.44 % (1423762)Time elapsed: 0.021 s
% 3.67/1.44 % (1423762)Peak memory usage: 90 MB
% 3.67/1.44 % (1423762)Instructions burned: 28 (million)
% 3.67/1.44 % (1423762)------------------------------
% 3.67/1.44 % (1423762)------------------------------
% 3.67/1.44 % (1423752)Success in time 0.437 s
% 3.67/1.44 % Vampire exiting
%------------------------------------------------------------------------------