%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU054+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:47:09 PM UTC 2026
% Result : Theorem 6.73s 2.03s
% Output : Refutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 237 ( 41 unt; 20 def)
% Number of atoms : 831 ( 138 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1063 ( 469 ~; 470 |; 86 &)
% ( 29 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 228 ( 0 sgn 204 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f8,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f9,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/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f29,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_difference(X0,X1)) = set_difference(relation_image(X2,X0),relation_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t123_funct_1) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( one_to_one(X2)
=> relation_image(X2,set_difference(X0,X1)) = set_difference(relation_image(X2,X0),relation_image(X2,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( relation(X2)
=> subset(set_difference(relation_image(X2,X0),relation_image(X2,X1)),relation_image(X2,set_difference(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t155_relat_1) ).
fof(f50,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,[],[f6]) ).
fof(f51,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,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f53,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,[],[f9]) ).
fof(f54,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,[],[f53]) ).
fof(f61,plain,
? [X0,X1,X2] :
( relation_image(X2,set_difference(X0,X1)) != set_difference(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f62,plain,
? [X0,X1,X2] :
( relation_image(X2,set_difference(X0,X1)) != set_difference(relation_image(X2,X0),relation_image(X2,X1))
& one_to_one(X2)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( subset(set_difference(relation_image(X2,X0),relation_image(X2,X1)),relation_image(X2,set_difference(X0,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f73,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f74,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f73]) ).
fof(f75,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,[],[f51]) ).
fof(f76,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,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| ~ in(X4,X1)
| apply(X0,X4) != sK0(X0,X1,X2) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),relation_dom(X0))
& in(sK1(X0,X1,X2),X1)
& sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2)) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6 ) )
& ( ( in(sK2(X0,X1,X6),relation_dom(X0))
& in(sK2(X0,X1,X6),X1)
& apply(X0,sK2(X0,X1,X6)) = X6 )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f76]) ).
fof(f78,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,[],[f52]) ).
fof(f79,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,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f83]) ).
fof(f85,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,[],[f54]) ).
fof(f86,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,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK5(X0) != sK6(X0)
& in(sK5(X0),relation_dom(X0))
& in(sK6(X0),relation_dom(X0))
& apply(X0,sK5(X0)) = apply(X0,sK6(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,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0))],[f86]) ).
fof(f99,plain,
( relation_image(sK20,set_difference(sK18,sK19)) != set_difference(relation_image(sK20,sK18),relation_image(sK20,sK19))
& one_to_one(sK20)
& relation(sK20)
& function(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f62]) ).
fof(f109,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f110,plain,
! [X2,X0,X1,X6] :
( apply(X0,sK2(X0,X1,X6)) = X6
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f111,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f112,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),relation_dom(X0))
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f113,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| apply(X0,X7) != X6
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f119,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f127,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,[],[f87]) ).
fof(f163,plain,
function(sK20),
inference(cnf_transformation,[],[f99]) ).
fof(f164,plain,
relation(sK20),
inference(cnf_transformation,[],[f99]) ).
fof(f165,plain,
one_to_one(sK20),
inference(cnf_transformation,[],[f99]) ).
fof(f166,plain,
relation_image(sK20,set_difference(sK18,sK19)) != set_difference(relation_image(sK20,sK18),relation_image(sK20,sK19)),
inference(cnf_transformation,[],[f99]) ).
fof(f167,plain,
! [X2,X0,X1] :
( subset(set_difference(relation_image(X2,X0),relation_image(X2,X1)),relation_image(X2,set_difference(X0,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f181,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f113]) ).
fof(f182,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,relation_dom(X0))
| ~ in(X7,X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f183,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),relation_dom(X0))
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f112]) ).
fof(f184,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f111]) ).
fof(f185,plain,
! [X0,X1,X6] :
( ~ in(X6,relation_image(X0,X1))
| apply(X0,sK2(X0,X1,X6)) = X6
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f186,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f123]) ).
fof(f187,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f188,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f121]) ).
fof(f189,definition,
sF21 = set_difference(sK18,sK19),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f190,plain,
set_difference(sK18,sK19) = sF21,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF22 = relation_image(sK20,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f192,plain,
relation_image(sK20,sF21) = sF22,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF23 = relation_image(sK20,sK18),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f194,plain,
relation_image(sK20,sK18) = sF23,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF24 = relation_image(sK20,sK19),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f196,plain,
relation_image(sK20,sK19) = sF24,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF25 = set_difference(sF23,sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f198,plain,
set_difference(sF23,sF24) = sF25,
inference(reorient_equations,[],[f197]) ).
fof(f199,plain,
sF22 != sF25,
inference(definition_folding,[],[f166,f198,f196,f194,f192,f190]) ).
fof(f200,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK20,sK2(sK20,sF21,X0)) = X0
| ~ relation(sK20)
| ~ function(sK20) ),
inference(superposition,[],[f185,f192]) ).
fof(f201,plain,
! [X0] :
( ~ in(X0,sF24)
| apply(sK20,sK2(sK20,sK19,X0)) = X0
| ~ relation(sK20)
| ~ function(sK20) ),
inference(superposition,[],[f185,f196]) ).
fof(f204,plain,
! [X0] :
( ~ in(X0,sF24)
| apply(sK20,sK2(sK20,sK19,X0)) = X0
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f201,f164]) ).
fof(f205,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK20,sK2(sK20,sF21,X0)) = X0
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f200,f164]) ).
fof(f207,plain,
! [X0] :
( ~ in(X0,sF24)
| apply(sK20,sK2(sK20,sK19,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f204,f163]) ).
fof(f208,plain,
! [X0] :
( ~ in(X0,sF22)
| apply(sK20,sK2(sK20,sF21,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f205,f163]) ).
fof(f210,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sK18) ),
inference(superposition,[],[f187,f190]) ).
fof(f212,plain,
! [X0] :
( ~ in(X0,sF21)
| ~ in(X0,sK19) ),
inference(superposition,[],[f188,f190]) ).
fof(f219,plain,
! [X0] :
( subset(sF22,X0)
| sK3(sF22,X0) = apply(sK20,sK2(sK20,sF21,sK3(sF22,X0))) ),
inference(resolution,[],[f119,f208]) ).
fof(f231,plain,
! [X0] :
( ~ in(X0,sF23)
| in(X0,sF25)
| in(X0,sF24) ),
inference(superposition,[],[f186,f198]) ).
fof(f239,plain,
! [X0] :
( subset(set_difference(sF23,relation_image(sK20,X0)),relation_image(sK20,set_difference(sK18,X0)))
| ~ relation(sK20) ),
inference(superposition,[],[f167,f194]) ).
fof(f248,plain,
! [X0] : subset(set_difference(sF23,relation_image(sK20,X0)),relation_image(sK20,set_difference(sK18,X0))),
inference(forward_subsumption_resolution,[],[f239,f164]) ).
fof(f285,plain,
! [X0] :
( in(apply(sK20,X0),sF23)
| ~ in(X0,relation_dom(sK20))
| ~ in(X0,sK18)
| ~ relation(sK20)
| ~ function(sK20) ),
inference(superposition,[],[f182,f194]) ).
fof(f287,plain,
! [X0] :
( in(apply(sK20,X0),sF23)
| ~ in(X0,relation_dom(sK20))
| ~ in(X0,sK18)
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f285,f164]) ).
fof(f290,plain,
! [X0] :
( in(apply(sK20,X0),sF23)
| ~ in(X0,relation_dom(sK20))
| ~ in(X0,sK18) ),
inference(forward_subsumption_resolution,[],[f287,f163]) ).
fof(f293,plain,
! [X0] :
( in(apply(sK20,X0),sF25)
| ~ in(X0,sK18)
| ~ in(X0,relation_dom(sK20))
| in(apply(sK20,X0),sF24) ),
inference(resolution,[],[f290,f231]) ).
fof(f304,plain,
! [X0,X1] :
( ~ in(sK2(X1,sF21,X0),sK19)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_image(X1,sF21)) ),
inference(resolution,[],[f184,f212]) ).
fof(f305,plain,
! [X0,X1] :
( in(sK2(X1,sF21,X0),sK18)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_image(X1,sF21)) ),
inference(resolution,[],[f184,f210]) ).
fof(f332,plain,
subset(set_difference(sF23,relation_image(sK20,sK19)),relation_image(sK20,sF21)),
inference(superposition,[],[f248,f190]) ).
fof(f333,plain,
subset(set_difference(sF23,relation_image(sK20,sK19)),sF22),
inference(forward_demodulation,[],[f332,f192]) ).
fof(f335,plain,
subset(set_difference(sF23,sF24),sF22),
inference(forward_demodulation,[],[f333,f196]) ).
fof(f337,plain,
subset(sF25,sF22),
inference(forward_demodulation,[],[f335,f198]) ).
fof(f340,plain,
( ~ subset(sF22,sF25)
| sF22 = sF25 ),
inference(resolution,[],[f337,f109]) ).
fof(f341,plain,
~ subset(sF22,sF25),
inference(forward_subsumption_resolution,[],[f340,f199]) ).
fof(f348,plain,
sK3(sF22,sF25) = apply(sK20,sK2(sK20,sF21,sK3(sF22,sF25))),
inference(resolution,[],[f341,f219]) ).
fof(f353,plain,
! [X0] :
( in(sK3(sF22,sF25),relation_image(sK20,X0))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),X0)
| ~ relation(sK20)
| ~ function(sK20) ),
inference(superposition,[],[f182,f348]) ).
fof(f354,plain,
! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0
| ~ one_to_one(sK20)
| ~ relation(sK20)
| ~ function(sK20) ),
inference(superposition,[],[f127,f348]) ).
fof(f357,plain,
! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0
| ~ relation(sK20)
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f354,f165]) ).
fof(f358,plain,
! [X0] :
( in(sK3(sF22,sF25),relation_image(sK20,X0))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),X0)
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f353,f164]) ).
fof(f360,definition,
( spl26_7
<=> in(sK2(sK20,sF21,sK3(sF22,sF25)),sK18) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
fof(f361,plain,
( in(sK2(sK20,sF21,sK3(sF22,sF25)),sK18)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),sK18)
| spl26_7 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f364,definition,
( spl26_8
<=> in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20)) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f365,plain,
( in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f366,plain,
( ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| spl26_8 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f373,definition,
( spl26_10
<=> in(sK3(sF22,sF25),sF24) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f375,plain,
( in(sK3(sF22,sF25),sF24)
| ~ spl26_10 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl26_11
<=> in(sK3(sF22,sF25),sF25) ),
introduced(definition,[new_symbols(definition,[spl26_11])],[avatar_definition]) ).
fof(f379,plain,
( in(sK3(sF22,sF25),sF25)
| ~ spl26_11 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f382,definition,
( spl26_12
<=> in(sK2(sK20,sF21,sK3(sF22,sF25)),sK19) ),
introduced(definition,[new_symbols(definition,[spl26_12])],[avatar_definition]) ).
fof(f383,plain,
( in(sK2(sK20,sF21,sK3(sF22,sF25)),sK19)
| ~ spl26_12 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),sK19)
| spl26_12 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f391,definition,
( spl26_14
<=> in(sK3(sF22,sF25),sF22) ),
introduced(definition,[new_symbols(definition,[spl26_14])],[avatar_definition]) ).
fof(f392,plain,
( ~ in(sK3(sF22,sF25),sF22)
| spl26_14 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f393,plain,
( in(sK3(sF22,sF25),sF22)
| ~ spl26_14 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f396,plain,
! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0
| ~ function(sK20) ),
inference(forward_subsumption_resolution,[],[f357,f164]) ).
fof(f397,plain,
! [X0] :
( in(sK3(sF22,sF25),relation_image(sK20,X0))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),X0) ),
inference(forward_subsumption_resolution,[],[f358,f163]) ).
fof(f399,plain,
! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0 ),
inference(forward_subsumption_resolution,[],[f396,f163]) ).
fof(f401,definition,
( spl26_15
<=> ! [X0] :
( in(sK3(sF22,sF25),relation_image(sK20,X0))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f402,plain,
( ! [X0] :
( ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),X0)
| in(sK3(sF22,sF25),relation_image(sK20,X0)) )
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( ~ spl26_8
| spl26_15 ),
inference(avatar_split_clause,[],[f397,f401,f364]) ).
fof(f405,definition,
( spl26_16
<=> ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0
| ~ in(X0,relation_dom(sK20)) ) ),
introduced(definition,[new_symbols(definition,[spl26_16])],[avatar_definition]) ).
fof(f406,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| sK2(sK20,sF21,sK3(sF22,sF25)) = X0
| ~ in(X0,relation_dom(sK20)) )
| ~ spl26_16 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,plain,
( ~ spl26_8
| spl26_16 ),
inference(avatar_split_clause,[],[f399,f405,f364]) ).
fof(f409,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ relation(sK20)
| ~ function(sK20)
| spl26_8 ),
inference(resolution,[],[f366,f183]) ).
fof(f410,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ function(sK20)
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f409,f164]) ).
fof(f411,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f410,f163]) ).
fof(f412,plain,
( ~ in(sK3(sF22,sF25),sF22)
| spl26_8 ),
inference(forward_demodulation,[],[f411,f192]) ).
fof(f413,plain,
( ~ spl26_14
| spl26_8 ),
inference(avatar_split_clause,[],[f412,f364,f391]) ).
fof(f414,plain,
( subset(sF22,sF25)
| spl26_14 ),
inference(resolution,[],[f392,f119]) ).
fof(f415,plain,
( $false
| spl26_14 ),
inference(forward_subsumption_resolution,[],[f414,f341]) ).
fof(f416,plain,
spl26_14,
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f418,plain,
( in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ relation(sK20)
| ~ function(sK20)
| ~ spl26_15 ),
inference(resolution,[],[f402,f183]) ).
fof(f421,plain,
( in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ function(sK20)
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f418,f164]) ).
fof(f422,plain,
( in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f421,f163]) ).
fof(f423,plain,
( ~ in(sK3(sF22,sF25),sF22)
| in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ spl26_15 ),
inference(forward_demodulation,[],[f422,f192]) ).
fof(f424,plain,
( in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f423,f393]) ).
fof(f426,plain,
( sK3(sF22,sF25) = apply(sK20,sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)))
| ~ relation(sK20)
| ~ function(sK20)
| ~ spl26_14
| ~ spl26_15 ),
inference(resolution,[],[f424,f185]) ).
fof(f427,plain,
( sK3(sF22,sF25) = apply(sK20,sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)))
| ~ function(sK20)
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f426,f164]) ).
fof(f428,plain,
( sK3(sF22,sF25) = apply(sK20,sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)))
| ~ spl26_14
| ~ spl26_15 ),
inference(forward_subsumption_resolution,[],[f427,f163]) ).
fof(f429,plain,
( sK3(sF22,sF25) != sK3(sF22,sF25)
| sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,relation_dom(sK20),sK3(sF22,sF25))
| ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),relation_dom(sK20))
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(superposition,[],[f406,f428]) ).
fof(f432,plain,
( in(sK3(sF22,sF25),sF25)
| ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),sK18)
| ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),relation_dom(sK20))
| in(sK3(sF22,sF25),sF24)
| ~ spl26_14
| ~ spl26_15 ),
inference(superposition,[],[f293,f428]) ).
fof(f437,plain,
( sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,relation_dom(sK20),sK3(sF22,sF25))
| ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),relation_dom(sK20))
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f442,definition,
( spl26_17
<=> in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),sK18) ),
introduced(definition,[new_symbols(definition,[spl26_17])],[avatar_definition]) ).
fof(f444,plain,
( ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),sK18)
| spl26_17 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl26_18
<=> in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),relation_dom(sK20)) ),
introduced(definition,[new_symbols(definition,[spl26_18])],[avatar_definition]) ).
fof(f448,plain,
( ~ in(sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)),relation_dom(sK20))
| spl26_18 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,plain,
( spl26_10
| ~ spl26_18
| ~ spl26_17
| spl26_11
| ~ spl26_14
| ~ spl26_15 ),
inference(avatar_split_clause,[],[f432,f401,f391,f377,f442,f446,f373]) ).
fof(f457,definition,
( spl26_20
<=> sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,relation_dom(sK20),sK3(sF22,sF25)) ),
introduced(definition,[new_symbols(definition,[spl26_20])],[avatar_definition]) ).
fof(f459,plain,
( sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,relation_dom(sK20),sK3(sF22,sF25))
| ~ spl26_20 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( ~ spl26_18
| spl26_20
| ~ spl26_14
| ~ spl26_15
| ~ spl26_16 ),
inference(avatar_split_clause,[],[f437,f405,f401,f391,f457,f446]) ).
fof(f475,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,relation_dom(sK20)))
| ~ relation(sK20)
| ~ function(sK20)
| spl26_18 ),
inference(resolution,[],[f448,f183]) ).
fof(f478,plain,
( ~ relation(sK20)
| ~ function(sK20)
| ~ spl26_14
| ~ spl26_15
| spl26_18 ),
inference(forward_subsumption_resolution,[],[f475,f424]) ).
fof(f480,plain,
( ~ function(sK20)
| ~ spl26_14
| ~ spl26_15
| spl26_18 ),
inference(forward_subsumption_resolution,[],[f478,f164]) ).
fof(f483,plain,
( $false
| ~ spl26_14
| ~ spl26_15
| spl26_18 ),
inference(forward_subsumption_resolution,[],[f480,f163]) ).
fof(f484,plain,
( ~ spl26_14
| ~ spl26_15
| spl26_18 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f490,plain,
( ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),sK18)
| spl26_17
| ~ spl26_20 ),
inference(superposition,[],[f444,f459]) ).
fof(f541,definition,
( spl26_23
<=> sK3(sF22,sF25) = apply(sK20,sK2(sK20,sK19,sK3(sF22,sF25))) ),
introduced(definition,[new_symbols(definition,[spl26_23])],[avatar_definition]) ).
fof(f542,plain,
( sK3(sF22,sF25) != apply(sK20,sK2(sK20,sK19,sK3(sF22,sF25)))
| spl26_23 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f543,plain,
( sK3(sF22,sF25) = apply(sK20,sK2(sK20,sK19,sK3(sF22,sF25)))
| ~ spl26_23 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f596,plain,
( sK3(sF22,sF25) = apply(sK20,sK2(sK20,sK19,sK3(sF22,sF25)))
| ~ spl26_10 ),
inference(resolution,[],[f375,f207]) ).
fof(f651,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0
| ~ one_to_one(sK20)
| ~ relation(sK20)
| ~ function(sK20) )
| ~ spl26_23 ),
inference(superposition,[],[f127,f543]) ).
fof(f655,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0
| ~ relation(sK20)
| ~ function(sK20) )
| ~ spl26_23 ),
inference(forward_subsumption_resolution,[],[f651,f165]) ).
fof(f662,definition,
( spl26_41
<=> in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20)) ),
introduced(definition,[new_symbols(definition,[spl26_41])],[avatar_definition]) ).
fof(f664,plain,
( ~ in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20))
| spl26_41 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f667,definition,
( spl26_42
<=> sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,sK19,sK3(sF22,sF25)) ),
introduced(definition,[new_symbols(definition,[spl26_42])],[avatar_definition]) ).
fof(f669,plain,
( sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,sK19,sK3(sF22,sF25))
| ~ spl26_42 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f672,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0
| ~ function(sK20) )
| ~ spl26_23 ),
inference(forward_subsumption_resolution,[],[f655,f164]) ).
fof(f675,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| ~ in(sK2(sK20,sK19,sK3(sF22,sF25)),relation_dom(sK20))
| ~ in(X0,relation_dom(sK20))
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0 )
| ~ spl26_23 ),
inference(forward_subsumption_resolution,[],[f672,f163]) ).
fof(f681,definition,
( spl26_44
<=> ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0
| ~ in(X0,relation_dom(sK20)) ) ),
introduced(definition,[new_symbols(definition,[spl26_44])],[avatar_definition]) ).
fof(f682,plain,
( ! [X0] :
( apply(sK20,X0) != sK3(sF22,sF25)
| sK2(sK20,sK19,sK3(sF22,sF25)) = X0
| ~ in(X0,relation_dom(sK20)) )
| ~ spl26_44 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f684,plain,
( ~ spl26_41
| spl26_44
| ~ spl26_23 ),
inference(avatar_split_clause,[],[f675,f541,f681,f662]) ).
fof(f693,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| ~ relation(sK20)
| ~ function(sK20)
| spl26_41 ),
inference(resolution,[],[f664,f183]) ).
fof(f694,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| ~ function(sK20)
| spl26_41 ),
inference(forward_subsumption_resolution,[],[f693,f164]) ).
fof(f695,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| spl26_41 ),
inference(forward_subsumption_resolution,[],[f694,f163]) ).
fof(f696,plain,
( ~ in(sK3(sF22,sF25),sF24)
| spl26_41 ),
inference(forward_demodulation,[],[f695,f196]) ).
fof(f697,plain,
( $false
| ~ spl26_10
| spl26_41 ),
inference(forward_subsumption_resolution,[],[f696,f375]) ).
fof(f698,plain,
( ~ spl26_10
| spl26_41 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f699,plain,
( $false
| ~ spl26_10
| spl26_23 ),
inference(forward_subsumption_resolution,[],[f596,f542]) ).
fof(f700,plain,
( ~ spl26_10
| spl26_23 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f703,plain,
( in(sK2(sK20,sF21,sK3(sF22,sF25)),sK19)
| ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| ~ relation(sK20)
| ~ function(sK20)
| ~ spl26_42 ),
inference(superposition,[],[f184,f669]) ).
fof(f705,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| ~ relation(sK20)
| ~ function(sK20)
| spl26_12
| ~ spl26_42 ),
inference(forward_subsumption_resolution,[],[f703,f384]) ).
fof(f706,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| ~ function(sK20)
| spl26_12
| ~ spl26_42 ),
inference(forward_subsumption_resolution,[],[f705,f164]) ).
fof(f707,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sK19))
| spl26_12
| ~ spl26_42 ),
inference(forward_subsumption_resolution,[],[f706,f163]) ).
fof(f708,plain,
( ~ in(sK3(sF22,sF25),sF24)
| spl26_12
| ~ spl26_42 ),
inference(forward_demodulation,[],[f707,f196]) ).
fof(f709,plain,
( $false
| ~ spl26_10
| spl26_12
| ~ spl26_42 ),
inference(forward_subsumption_resolution,[],[f708,f375]) ).
fof(f710,plain,
( ~ spl26_10
| spl26_12
| ~ spl26_42 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f714,plain,
( sK3(sF22,sF25) != sK3(sF22,sF25)
| sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,sK19,sK3(sF22,sF25))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ spl26_44 ),
inference(superposition,[],[f682,f348]) ).
fof(f715,plain,
( sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,sK19,sK3(sF22,sF25))
| ~ in(sK2(sK20,sF21,sK3(sF22,sF25)),relation_dom(sK20))
| ~ spl26_44 ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f718,plain,
( sK2(sK20,sF21,sK3(sF22,sF25)) = sK2(sK20,sK19,sK3(sF22,sF25))
| ~ spl26_8
| ~ spl26_44 ),
inference(forward_subsumption_resolution,[],[f715,f365]) ).
fof(f720,plain,
( spl26_42
| ~ spl26_8
| ~ spl26_44 ),
inference(avatar_split_clause,[],[f718,f681,f364,f667]) ).
fof(f1174,plain,
( ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| spl26_7 ),
inference(resolution,[],[f305,f362]) ).
fof(f1178,plain,
( ~ function(sK20)
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| spl26_7 ),
inference(forward_subsumption_resolution,[],[f1174,f164]) ).
fof(f1180,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| spl26_7 ),
inference(forward_subsumption_resolution,[],[f1178,f163]) ).
fof(f1182,plain,
( ~ in(sK3(sF22,sF25),sF22)
| spl26_7 ),
inference(forward_demodulation,[],[f1180,f192]) ).
fof(f1184,plain,
( $false
| spl26_7
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f1182,f393]) ).
fof(f1185,plain,
( spl26_7
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1192,plain,
( $false
| ~ spl26_7
| spl26_17
| ~ spl26_20 ),
inference(forward_subsumption_resolution,[],[f490,f361]) ).
fof(f1193,plain,
( ~ spl26_7
| spl26_17
| ~ spl26_20 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1202,plain,
( subset(sF22,sF25)
| ~ spl26_11 ),
inference(resolution,[],[f379,f120]) ).
fof(f1206,plain,
( $false
| ~ spl26_11 ),
inference(forward_subsumption_resolution,[],[f1202,f341]) ).
fof(f1207,plain,
~ spl26_11,
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1250,plain,
( ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ spl26_12 ),
inference(resolution,[],[f383,f304]) ).
fof(f1251,plain,
( ~ function(sK20)
| ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f1250,f164]) ).
fof(f1253,plain,
( ~ in(sK3(sF22,sF25),relation_image(sK20,sF21))
| ~ spl26_12 ),
inference(forward_subsumption_resolution,[],[f1251,f163]) ).
fof(f1254,plain,
( ~ in(sK3(sF22,sF25),sF22)
| ~ spl26_12 ),
inference(forward_demodulation,[],[f1253,f192]) ).
fof(f1255,plain,
( $false
| ~ spl26_12
| ~ spl26_14 ),
inference(forward_subsumption_resolution,[],[f1254,f393]) ).
fof(f1256,plain,
( ~ spl26_12
| ~ spl26_14 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
cnf(s7,plain,
( ~ spl26_8
| spl26_15 ),
inference(sat_conversion,[],[f403]) ).
cnf(s9,plain,
( ~ spl26_8
| spl26_16 ),
inference(sat_conversion,[],[f408]) ).
cnf(s10,plain,
( spl26_8
| ~ spl26_14 ),
inference(sat_conversion,[],[f413]) ).
cnf(s11,plain,
spl26_14,
inference(sat_conversion,[],[f416]) ).
cnf(s13,plain,
( spl26_10
| spl26_11
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| ~ spl26_18 ),
inference(sat_conversion,[],[f450]) ).
cnf(s15,plain,
( ~ spl26_14
| ~ spl26_15
| ~ spl26_16
| ~ spl26_18
| spl26_20 ),
inference(sat_conversion,[],[f460]) ).
cnf(s20,plain,
( ~ spl26_14
| ~ spl26_15
| spl26_18 ),
inference(sat_conversion,[],[f484]) ).
cnf(s39,plain,
( ~ spl26_23
| ~ spl26_41
| spl26_44 ),
inference(sat_conversion,[],[f684]) ).
cnf(s42,plain,
( ~ spl26_10
| spl26_41 ),
inference(sat_conversion,[],[f698]) ).
cnf(s43,plain,
( ~ spl26_10
| spl26_23 ),
inference(sat_conversion,[],[f700]) ).
cnf(s44,plain,
( ~ spl26_10
| spl26_12
| ~ spl26_42 ),
inference(sat_conversion,[],[f710]) ).
cnf(s45,plain,
( ~ spl26_8
| spl26_42
| ~ spl26_44 ),
inference(sat_conversion,[],[f720]) ).
cnf(s87,plain,
( spl26_7
| ~ spl26_14 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s89,plain,
( ~ spl26_7
| spl26_17
| ~ spl26_20 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s90,plain,
~ spl26_11,
inference(sat_conversion,[],[f1207]) ).
cnf(s93,plain,
( ~ spl26_12
| ~ spl26_14 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s95,plain,
( spl26_10
| ~ spl26_14
| ~ spl26_15
| ~ spl26_17
| ~ spl26_18 ),
inference(rat,[],[s13,s90]) ).
cnf(s96,plain,
~ spl26_12,
inference(rat,[],[s93,s11]) ).
cnf(s97,plain,
spl26_7,
inference(rat,[],[s87,s11]) ).
cnf(s98,plain,
spl26_8,
inference(rat,[],[s10,s11]) ).
cnf(s99,plain,
spl26_16,
inference(rat,[],[s9,s98]) ).
cnf(s100,plain,
spl26_15,
inference(rat,[],[s7,s98]) ).
cnf(s101,plain,
spl26_18,
inference(rat,[],[s20,s11,s100]) ).
cnf(s105,plain,
spl26_20,
inference(rat,[],[s15,s100,s99,s11,s101]) ).
cnf(s107,plain,
spl26_17,
inference(rat,[],[s89,s97,s105]) ).
cnf(s108,plain,
spl26_10,
inference(rat,[],[s95,s101,s100,s11,s107]) ).
cnf(s109,plain,
~ spl26_42,
inference(rat,[],[s44,s96,s108]) ).
cnf(s110,plain,
spl26_23,
inference(rat,[],[s43,s108]) ).
cnf(s111,plain,
spl26_41,
inference(rat,[],[s42,s108]) ).
cnf(s112,plain,
~ spl26_44,
inference(rat,[],[s45,s98,s109]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s39,s112,s111,s110]) ).
fof(f1257,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU054+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:28:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.73/2.03 % (3633782)Detected formulas, will run a generic FOF schedule.
% 6.73/2.03 % (3633791)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1680973832:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.73/2.03 % (3633792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=756495015:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.73/2.03 % (3633787)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=4186230983:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.73/2.03 % (3633789)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=932342094:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.73/2.03 % (3633793)dis-21_1_sil=8000:lcm=predicate:random_seed=4048196594: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)
% 6.73/2.03 % (3633788)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=3694015130:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.73/2.03 % (3633790)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3399564131:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.73/2.03 % (3633790)Refutation not found, incomplete strategy
% 6.73/2.03 % (3633790)------------------------------
% 6.73/2.03 % (3633790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633790)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633790)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.03 % (3633790)Time elapsed: 0.002 s
% 6.73/2.03 % (3633790)Peak memory usage: 88 MB
% 6.73/2.03 % (3633790)Instructions burned: 1 (million)
% 6.73/2.03 % (3633791)Instruction limit reached!
% 6.73/2.03 % (3633791)------------------------------
% 6.73/2.03 % (3633791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633791)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633791)Termination reason: Instruction limit
% 6.73/2.03 % (3633791)Termination phase: Saturation
% 6.73/2.03 % (3633791)Time elapsed: 0.041 s
% 6.73/2.03 % (3633791)Peak memory usage: 88 MB
% 6.73/2.03 % (3633791)Instructions burned: 121 (million)
% 6.73/2.03 % (3633793)Instruction limit reached!
% 6.73/2.03 % (3633793)------------------------------
% 6.73/2.03 % (3633793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633793)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633793)Termination reason: Instruction limit
% 6.73/2.03 % (3633793)Termination phase: Saturation
% 6.73/2.03 % (3633793)Time elapsed: 0.075 s
% 6.73/2.03 % (3633793)Peak memory usage: 90 MB
% 6.73/2.03 % (3633793)Instructions burned: 129 (million)
% 6.73/2.03 % (3633792)Instruction limit reached!
% 6.73/2.03 % (3633792)------------------------------
% 6.73/2.03 % (3633792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633792)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633792)Termination reason: Instruction limit
% 6.73/2.03 % (3633792)Termination phase: Saturation
% 6.73/2.03 % (3633792)Time elapsed: 0.095 s
% 6.73/2.03 % (3633792)Peak memory usage: 89 MB
% 6.73/2.03 % (3633792)Instructions burned: 140 (million)
% 6.73/2.03 % (3633801)lrs+10_1_sil=8000:sp=occurrence:random_seed=1817450113:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.73/2.03 % (3633802)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4084662543:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.73/2.03 % (3633801)Instruction limit reached!
% 6.73/2.03 % (3633801)------------------------------
% 6.73/2.03 % (3633801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633801)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633801)Termination reason: Instruction limit
% 6.73/2.03 % (3633801)Termination phase: Saturation
% 6.73/2.03 % (3633801)Time elapsed: 0.088 s
% 6.73/2.03 % (3633801)Peak memory usage: 91 MB
% 6.73/2.03 % (3633801)Instructions burned: 287 (million)
% 6.73/2.03 % (3633790)------------------------------
% 6.73/2.03 % (3633790)------------------------------
% 6.73/2.03 % (3633803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=341780367:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.73/2.03 % (3633802)Instruction limit reached!
% 6.73/2.03 % (3633802)------------------------------
% 6.73/2.03 % (3633802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633802)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633802)Termination reason: Instruction limit
% 6.73/2.03 % (3633802)Termination phase: Saturation
% 6.73/2.03 % (3633802)Time elapsed: 0.077 s
% 6.73/2.03 % (3633802)Peak memory usage: 91 MB
% 6.73/2.03 % (3633802)Instructions burned: 158 (million)
% 6.73/2.03 % (3633806)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=2577848332:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.73/2.03 % (3633808)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4191715237:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.73/2.03 % (3633808)Refutation not found, incomplete strategy
% 6.73/2.03 % (3633808)------------------------------
% 6.73/2.03 % (3633808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633808)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633808)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.03 % (3633808)Time elapsed: 0.003 s
% 6.73/2.03 % (3633808)Peak memory usage: 88 MB
% 6.73/2.03 % (3633808)Instructions burned: 3 (million)
% 6.73/2.03 % (3633806)Instruction limit reached!
% 6.73/2.03 % (3633806)------------------------------
% 6.73/2.03 % (3633806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633806)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633806)Termination reason: Instruction limit
% 6.73/2.03 % (3633806)Termination phase: Saturation
% 6.73/2.03 % (3633806)Time elapsed: 0.072 s
% 6.73/2.03 % (3633806)Peak memory usage: 95 MB
% 6.73/2.03 % (3633806)Instructions burned: 250 (million)
% 6.73/2.03 % (3633803)Instruction limit reached!
% 6.73/2.03 % (3633803)------------------------------
% 6.73/2.03 % (3633803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633803)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633803)Termination reason: Instruction limit
% 6.73/2.03 % (3633803)Termination phase: Saturation
% 6.73/2.03 % (3633803)Time elapsed: 0.209 s
% 6.73/2.03 % (3633803)Peak memory usage: 92 MB
% 6.73/2.03 % (3633803)Instructions burned: 325 (million)
% 6.73/2.03 % (3633809)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1108335867:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.73/2.03 % (3633812)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1446196844:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.73/2.03 % (3633812)Instruction limit reached!
% 6.73/2.03 % (3633812)------------------------------
% 6.73/2.03 % (3633812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633812)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633812)Termination reason: Instruction limit
% 6.73/2.03 % (3633812)Termination phase: Saturation
% 6.73/2.03 % (3633812)Time elapsed: 0.040 s
% 6.73/2.03 % (3633812)Peak memory usage: 90 MB
% 6.73/2.03 % (3633812)Instructions burned: 113 (million)
% 6.73/2.03 % (3633813)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1859194529:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.73/2.03 % (3633808)------------------------------
% 6.73/2.03 % (3633808)------------------------------
% 6.73/2.03 % (3633813)Instruction limit reached!
% 6.73/2.03 % (3633813)------------------------------
% 6.73/2.03 % (3633813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633813)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633813)Termination reason: Instruction limit
% 6.73/2.03 % (3633813)Termination phase: Saturation
% 6.73/2.03 % (3633813)Time elapsed: 0.068 s
% 6.73/2.03 % (3633813)Peak memory usage: 89 MB
% 6.73/2.03 % (3633813)Instructions burned: 128 (million)
% 6.73/2.03 % (3633787)First to succeed.
% 6.73/2.03 % (3633787)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3633782"
% 6.73/2.03 % (3633816)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3328641707:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.73/2.03 % (3633816)Instruction limit reached!
% 6.73/2.03 % (3633816)------------------------------
% 6.73/2.03 % (3633816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633816)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633816)Termination reason: Instruction limit
% 6.73/2.03 % (3633816)Termination phase: Saturation
% 6.73/2.03 % (3633816)Time elapsed: 0.038 s
% 6.73/2.03 % (3633816)Peak memory usage: 89 MB
% 6.73/2.03 % (3633816)Instructions burned: 117 (million)
% 6.73/2.03 % (3633818)lrs+10_1_sil=8000:sp=occurrence:random_seed=1666733382:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.73/2.03 % (3633819)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=623398636:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.73/2.03 % (3633819)Refutation not found, incomplete strategy
% 6.73/2.03 % (3633819)------------------------------
% 6.73/2.03 % (3633819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.73/2.03 % (3633819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/2.03 % (3633819)CaDiCaL version: 2.1.3
% 6.73/2.03 % (3633819)Termination reason: Refutation not found, incomplete strategy
% 6.73/2.03 % (3633819)Time elapsed: 0.003 s
% 6.73/2.03 % (3633819)Peak memory usage: 88 MB
% 6.73/2.03 % (3633819)Instructions burned: 3 (million)
% 6.73/2.03 % (3633821)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2224271784:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.73/2.03 % (3633789)Also succeeded, but the first one will report.
% 6.73/2.03 % (3633787)Refutation found. Thanks to Tanya!
% 6.73/2.03 % SZS status Theorem for theBenchmark
% 6.73/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.86/2.23 % (3633787)------------------------------
% 8.86/2.23 % (3633787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.23 % (3633787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.23 % (3633787)CaDiCaL version: 2.1.3
% 8.86/2.23 % (3633787)Termination reason: Refutation
% 8.86/2.23 % (3633787)Time elapsed: 0.735 s
% 8.86/2.23 % (3633787)Peak memory usage: 129 MB
% 8.86/2.23 % (3633787)Instructions burned: 1075 (million)
% 8.86/2.23 % (3633787)------------------------------
% 8.86/2.23 % (3633787)------------------------------
% 8.86/2.23 % (3633782)Success in time 1.169 s
% 8.86/2.23 % Vampire exiting
%------------------------------------------------------------------------------