%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU071+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:47:11 PM UTC 2026
% Result : Theorem 6.40s 1.87s
% Output : Refutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 14 unt; 0 def)
% Number of atoms : 334 ( 64 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 444 ( 166 ~; 168 |; 84 &)
% ( 17 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 159 ( 137 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f6,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f27,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> subset(relation_inverse_image(X1,relation_image(X1,X0)),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_funct_1) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> subset(relation_inverse_image(X1,relation_image(X1,X0)),X0) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f38,plain,
? [X0,X1] :
( ~ subset(relation_inverse_image(X1,relation_image(X1,X0)),X0)
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f39,plain,
? [X0,X1] :
( ~ subset(relation_inverse_image(X1,relation_image(X1,X0)),X0)
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f40]) ).
fof(f43,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f43]) ).
fof(f46,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f51,plain,
( ~ subset(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0)
& one_to_one(sK1)
& relation(sK1)
& function(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f39]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 ) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& in(X4,X1)
& X3 = apply(X0,X4) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != X3 )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(X5,relation_dom(X0))
& in(X5,X1)
& apply(X0,X5) = X3 )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ? [X8] :
( in(X8,relation_dom(X0))
& in(X8,X1)
& apply(X0,X8) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK2(X0,X1,X2) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),relation_dom(X0))
& in(sK3(X0,X1,X2),X1)
& sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2)) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK4(X0,X1,X6),relation_dom(X0))
& in(sK4(X0,X1,X6),X1)
& apply(X0,sK4(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X5,sK3(X0,X1,X2)),skolemize(X8,sK4(X0,X1,X6))],[f53]) ).
fof(f57,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,X2) )
& ( ( in(X3,relation_dom(X0))
& in(apply(X0,X3),X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X0,sK7(X0,X1,X2)),X1)
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(sK7(X0,X1,X2),relation_dom(X0))
& in(apply(X0,sK7(X0,X1,X2)),X1) )
| in(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,relation_dom(X0))
| ~ in(apply(X0,X4),X1) )
& ( ( in(X4,relation_dom(X0))
& in(apply(X0,X4),X1) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f59]) ).
fof(f64,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK11(X0) != sK12(X0)
& in(sK11(X0),relation_dom(X0))
& in(sK12(X0),relation_dom(X0))
& apply(X0,sK11(X0)) = apply(X0,sK12(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| apply(X0,X4) != apply(X0,X3) )
| ~ one_to_one(X0) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0))],[f65]) ).
fof(f68,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f69,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f69]) ).
fof(f71,plain,
function(sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f72,plain,
relation(sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
one_to_one(sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f74,plain,
~ subset(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK4(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f76,plain,
! [X2,X0,X1,X6] :
( in(sK4(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f77,plain,
! [X2,X0,X1,X6] :
( in(sK4(X0,X1,X6),relation_dom(X0))
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f103,plain,
! [X3,X0,X4] :
( apply(X0,X4) != apply(X0,X3)
| ~ in(X3,relation_dom(X0))
| ~ in(X4,relation_dom(X0))
| X3 = X4
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f115,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f116,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f119,plain,
! [X0,X1,X6] :
( in(sK4(X0,X1,X6),relation_dom(X0))
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f77]) ).
fof(f120,plain,
! [X0,X1,X6] :
( in(sK4(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f76]) ).
fof(f121,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK4(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f75]) ).
fof(f123,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f90]) ).
fof(f124,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f89]) ).
fof(f134,plain,
in(sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0),relation_inverse_image(sK1,relation_image(sK1,sK0))),
inference(unit_resulting_resolution,[],[f115,f74]) ).
fof(f135,plain,
~ in(sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0),sK0),
inference(unit_resulting_resolution,[],[f116,f74]) ).
fof(f140,plain,
in(sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0),relation_dom(sK1)),
inference(unit_resulting_resolution,[],[f123,f71,f72,f134]) ).
fof(f143,plain,
in(apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0)),relation_image(sK1,sK0)),
inference(unit_resulting_resolution,[],[f124,f71,f72,f134]) ).
fof(f151,plain,
apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0)) = apply(sK1,sK4(sK1,sK0,apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0)))),
inference(unit_resulting_resolution,[],[f121,f71,f72,f143]) ).
fof(f152,plain,
in(sK4(sK1,sK0,apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0))),relation_dom(sK1)),
inference(unit_resulting_resolution,[],[f119,f71,f72,f143]) ).
fof(f153,plain,
in(sK4(sK1,sK0,apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0))),sK0),
inference(unit_resulting_resolution,[],[f120,f71,f72,f143]) ).
fof(f214,plain,
sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0) = sK4(sK1,sK0,apply(sK1,sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0))),
inference(unit_resulting_resolution,[],[f103,f71,f72,f73,f140,f152,f151]) ).
fof(f273,plain,
in(sK13(relation_inverse_image(sK1,relation_image(sK1,sK0)),sK0),sK0),
inference(superposition,[],[f153,f214]) ).
fof(f277,plain,
$false,
inference(forward_subsumption_resolution,[],[f273,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU071+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n008.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 28 03:30:39 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.40/1.87 % (1840507)Detected formulas, will run a generic FOF schedule.
% 6.40/1.87 % (1840518)dis-21_1_sil=8000:lcm=predicate:random_seed=2842889656: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)
% 6.40/1.87 % (1840518)Instruction limit reached!
% 6.40/1.87 % (1840518)------------------------------
% 6.40/1.87 % (1840518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840518)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840518)Termination reason: Instruction limit
% 6.40/1.87 % (1840518)Termination phase: Saturation
% 6.40/1.87 % (1840518)Time elapsed: 0.058 s
% 6.40/1.87 % (1840518)Peak memory usage: 90 MB
% 6.40/1.87 % (1840518)Instructions burned: 129 (million)
% 6.40/1.87 % (1840516)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3858381748:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.40/1.87 % (1840517)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3330331403:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.40/1.87 % (1840513)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=3325256963:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.40/1.87 % (1840515)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1606860912:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.40/1.87 % (1840512)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=631302425:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.40/1.87 % (1840514)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=3093825398:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.40/1.87 % (1840515)Refutation not found, incomplete strategy
% 6.40/1.87 % (1840515)------------------------------
% 6.40/1.87 % (1840515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840515)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840515)Termination reason: Refutation not found, incomplete strategy
% 6.40/1.87 % (1840515)Time elapsed: 0.004 s
% 6.40/1.87 % (1840515)Peak memory usage: 88 MB
% 6.40/1.87 % (1840515)Instructions burned: 2 (million)
% 6.40/1.87 % (1840516)Instruction limit reached!
% 6.40/1.87 % (1840516)------------------------------
% 6.40/1.87 % (1840516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840516)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840516)Termination reason: Instruction limit
% 6.40/1.87 % (1840516)Termination phase: Saturation
% 6.40/1.87 % (1840516)Time elapsed: 0.112 s
% 6.40/1.87 % (1840516)Peak memory usage: 88 MB
% 6.40/1.87 % (1840516)Instructions burned: 119 (million)
% 6.40/1.87 % (1840517)Instruction limit reached!
% 6.40/1.87 % (1840517)------------------------------
% 6.40/1.87 % (1840517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840517)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840517)Termination reason: Instruction limit
% 6.40/1.87 % (1840517)Termination phase: Saturation
% 6.40/1.87 % (1840517)Time elapsed: 0.151 s
% 6.40/1.87 % (1840517)Peak memory usage: 89 MB
% 6.40/1.87 % (1840517)Instructions burned: 140 (million)
% 6.40/1.87 % (1840520)lrs+10_1_sil=8000:sp=occurrence:random_seed=1358015727:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.40/1.87 % (1840520)Instruction limit reached!
% 6.40/1.87 % (1840520)------------------------------
% 6.40/1.87 % (1840520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840520)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840520)Termination reason: Instruction limit
% 6.40/1.87 % (1840520)Termination phase: Saturation
% 6.40/1.87 % (1840520)Time elapsed: 0.146 s
% 6.40/1.87 % (1840520)Peak memory usage: 91 MB
% 6.40/1.87 % (1840520)Instructions burned: 286 (million)
% 6.40/1.87 % (1840527)lrs+10_1_sil=32000:urr=on:br=off:random_seed=685943449:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 6.40/1.87 % (1840528)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1685353401:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.40/1.87 % (1840515)------------------------------
% 6.40/1.87 % (1840515)------------------------------
% 6.40/1.87 % (1840527)First to succeed.
% 6.40/1.87 % (1840527)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1840507"
% 6.40/1.87 % (1840530)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=3496452738:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 6.40/1.87 % (1840530)Instruction limit reached!
% 6.40/1.87 % (1840530)------------------------------
% 6.40/1.87 % (1840530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840530)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840530)Termination reason: Instruction limit
% 6.40/1.87 % (1840530)Termination phase: Saturation
% 6.40/1.87 % (1840530)Time elapsed: 0.118 s
% 6.40/1.87 % (1840530)Peak memory usage: 91 MB
% 6.40/1.87 % (1840530)Instructions burned: 250 (million)
% 6.40/1.87 % (1840533)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2681437974:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.40/1.87 % (1840533)Refutation not found, incomplete strategy
% 6.40/1.87 % (1840533)------------------------------
% 6.40/1.87 % (1840533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840533)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840533)Termination reason: Refutation not found, incomplete strategy
% 6.40/1.87 % (1840533)Time elapsed: 0.004 s
% 6.40/1.87 % (1840533)Peak memory usage: 88 MB
% 6.40/1.87 % (1840533)Instructions burned: 2 (million)
% 6.40/1.87 % (1840528)Instruction limit reached!
% 6.40/1.87 % (1840528)------------------------------
% 6.40/1.87 % (1840528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.40/1.87 % (1840528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.40/1.87 % (1840528)CaDiCaL version: 2.1.3
% 6.40/1.87 % (1840528)Termination reason: Instruction limit
% 6.40/1.87 % (1840528)Termination phase: Saturation
% 6.40/1.87 % (1840528)Time elapsed: 0.340 s
% 6.40/1.87 % (1840528)Peak memory usage: 92 MB
% 6.40/1.87 % (1840528)Instructions burned: 325 (million)
% 6.40/1.87 % (1840527)Refutation found. Thanks to Tanya!
% 6.40/1.87 % SZS status Theorem for theBenchmark
% 6.40/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 8.15/2.17 % (1840527)------------------------------
% 8.15/2.17 % (1840527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.15/2.17 % (1840527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/2.17 % (1840527)CaDiCaL version: 2.1.3
% 8.15/2.17 % (1840527)Termination reason: Refutation
% 8.15/2.17 % (1840527)Time elapsed: 0.015 s
% 8.15/2.17 % (1840527)Peak memory usage: 89 MB
% 8.15/2.17 % (1840527)Instructions burned: 14 (million)
% 8.15/2.17 % (1840527)------------------------------
% 8.15/2.17 % (1840527)------------------------------
% 8.15/2.17 % (1840507)Success in time 1.05 s
% 8.15/2.17 % Vampire exiting
%------------------------------------------------------------------------------