TSTP Solution File: SEU063+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU063+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:55:09 EDT 2023
% Result : Theorem 21.72s 3.49s
% Output : Refutation 21.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 31
% Syntax : Number of formulae : 254 ( 22 unt; 0 def)
% Number of atoms : 1063 ( 228 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1384 ( 575 ~; 627 |; 136 &)
% ( 21 <=>; 23 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 423 (; 374 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f210320,plain,
$false,
inference(unit_resulting_resolution,[],[f166,f209948,f210315,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t2_subset) ).
fof(f210315,plain,
! [X21] : ~ in(X21,sF23),
inference(subsumption_resolution,[],[f210314,f209941]) ).
fof(f209941,plain,
! [X2] : singleton(X2) != sF23,
inference(subsumption_resolution,[],[f213,f209940]) ).
fof(f209940,plain,
one_to_one(sK0),
inference(subsumption_resolution,[],[f209939,f123]) ).
fof(f123,plain,
relation(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( ~ one_to_one(sK0)
| ( ! [X2] : singleton(X2) != relation_inverse_image(sK0,singleton(sK1))
& in(sK1,relation_rng(sK0)) ) )
& ( one_to_one(sK0)
| ! [X3] :
( relation_inverse_image(sK0,singleton(X3)) = singleton(sK2(X3))
| ~ in(X3,relation_rng(sK0)) ) )
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f76,f79,f78,f77]) ).
fof(f77,plain,
( ? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) )
& ( one_to_one(X0)
| ! [X3] :
( ? [X4] : relation_inverse_image(X0,singleton(X3)) = singleton(X4)
| ~ in(X3,relation_rng(X0)) ) )
& function(X0)
& relation(X0) )
=> ( ( ~ one_to_one(sK0)
| ? [X1] :
( ! [X2] : singleton(X2) != relation_inverse_image(sK0,singleton(X1))
& in(X1,relation_rng(sK0)) ) )
& ( one_to_one(sK0)
| ! [X3] :
( ? [X4] : singleton(X4) = relation_inverse_image(sK0,singleton(X3))
| ~ in(X3,relation_rng(sK0)) ) )
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X1] :
( ! [X2] : singleton(X2) != relation_inverse_image(sK0,singleton(X1))
& in(X1,relation_rng(sK0)) )
=> ( ! [X2] : singleton(X2) != relation_inverse_image(sK0,singleton(sK1))
& in(sK1,relation_rng(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X3] :
( ? [X4] : singleton(X4) = relation_inverse_image(sK0,singleton(X3))
=> relation_inverse_image(sK0,singleton(X3)) = singleton(sK2(X3)) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) )
& ( one_to_one(X0)
| ! [X3] :
( ? [X4] : relation_inverse_image(X0,singleton(X3)) = singleton(X4)
| ~ in(X3,relation_rng(X0)) ) )
& function(X0)
& relation(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) )
& ( one_to_one(X0)
| ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) ) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0] :
( ( ~ one_to_one(X0)
| ? [X1] :
( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) ) )
& ( one_to_one(X0)
| ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) ) )
& function(X0)
& relation(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<~> one_to_one(X0) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ( ! [X1] :
( ? [X2] : relation_inverse_image(X0,singleton(X1)) = singleton(X2)
| ~ in(X1,relation_rng(X0)) )
<~> one_to_one(X0) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1] :
~ ( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) )
<=> one_to_one(X0) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1] :
~ ( ! [X2] : relation_inverse_image(X0,singleton(X1)) != singleton(X2)
& in(X1,relation_rng(X0)) )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t144_funct_1) ).
fof(f209939,plain,
( one_to_one(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f209905,f124]) ).
fof(f124,plain,
function(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f209905,plain,
( one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(trivial_inequality_removal,[],[f209904]) ).
fof(f209904,plain,
( sK4(sK0) != sK4(sK0)
| one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f209901]) ).
fof(f209901,plain,
( sK4(sK0) != sK4(sK0)
| one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(superposition,[],[f150,f209877]) ).
fof(f209877,plain,
( sK4(sK0) = sK5(sK0)
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f209876,f123]) ).
fof(f209876,plain,
( one_to_one(sK0)
| sK4(sK0) = sK5(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f209875,f124]) ).
fof(f209875,plain,
( one_to_one(sK0)
| sK4(sK0) = sK5(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f209865]) ).
fof(f209865,plain,
( one_to_one(sK0)
| sK4(sK0) = sK5(sK0)
| one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f208656,f147]) ).
fof(f147,plain,
! [X0] :
( in(sK4(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK4(X0) != sK5(X0)
& apply(X0,sK4(X0)) = apply(X0,sK5(X0))
& in(sK5(X0),relation_dom(X0))
& in(sK4(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f84,f85]) ).
fof(f85,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK4(X0) != sK5(X0)
& apply(X0,sK4(X0)) = apply(X0,sK5(X0))
& in(sK5(X0),relation_dom(X0))
& in(sK4(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',d8_funct_1) ).
fof(f208656,plain,
( ~ in(sK4(sK0),relation_dom(sK0))
| one_to_one(sK0)
| sK4(sK0) = sK5(sK0) ),
inference(duplicate_literal_removal,[],[f208149]) ).
fof(f208149,plain,
( sK4(sK0) = sK5(sK0)
| one_to_one(sK0)
| one_to_one(sK0)
| ~ in(sK4(sK0),relation_dom(sK0)) ),
inference(superposition,[],[f208103,f56178]) ).
fof(f56178,plain,
! [X2] :
( sK2(apply(sK0,X2)) = X2
| one_to_one(sK0)
| ~ in(X2,relation_dom(sK0)) ),
inference(resolution,[],[f56105,f208]) ).
fof(f208,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f174]) ).
fof(f174,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK12(X0,X1) != X0
| ~ in(sK12(X0,X1),X1) )
& ( sK12(X0,X1) = X0
| in(sK12(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK12(X0,X1) != X0
| ~ in(sK12(X0,X1),X1) )
& ( sK12(X0,X1) = X0
| in(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',d1_tarski) ).
fof(f56105,plain,
! [X0] :
( in(X0,singleton(sK2(apply(sK0,X0))))
| ~ in(X0,relation_dom(sK0))
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f56104,f3056]) ).
fof(f3056,plain,
! [X0] :
( in(apply(sK0,X0),sF24)
| ~ in(X0,relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f3055,f123]) ).
fof(f3055,plain,
! [X0] :
( in(apply(sK0,X0),sF24)
| ~ in(X0,relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f3054,f124]) ).
fof(f3054,plain,
! [X0] :
( in(apply(sK0,X0),sF24)
| ~ in(X0,relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f200,f214]) ).
fof(f214,plain,
relation_rng(sK0) = sF24,
introduced(function_definition,[]) ).
fof(f200,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ in(X6,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK6(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK6(X0,X1),X1) )
& ( ( sK6(X0,X1) = apply(X0,sK7(X0,X1))
& in(sK7(X0,X1),relation_dom(X0)) )
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK8(X0,X5)) = X5
& in(sK8(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f88,f91,f90,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK6(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK6(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK6(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK6(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK6(X0,X1) = apply(X0,sK7(X0,X1))
& in(sK7(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK8(X0,X5)) = X5
& in(sK8(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',d5_funct_1) ).
fof(f56104,plain,
! [X0] :
( in(X0,singleton(sK2(apply(sK0,X0))))
| ~ in(X0,relation_dom(sK0))
| one_to_one(sK0)
| ~ in(apply(sK0,X0),sF24) ),
inference(subsumption_resolution,[],[f56103,f123]) ).
fof(f56103,plain,
! [X0] :
( in(X0,singleton(sK2(apply(sK0,X0))))
| ~ in(X0,relation_dom(sK0))
| ~ relation(sK0)
| one_to_one(sK0)
| ~ in(apply(sK0,X0),sF24) ),
inference(subsumption_resolution,[],[f56069,f124]) ).
fof(f56069,plain,
! [X0] :
( in(X0,singleton(sK2(apply(sK0,X0))))
| ~ in(X0,relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0)
| ~ in(apply(sK0,X0),sF24) ),
inference(superposition,[],[f5546,f216]) ).
fof(f216,plain,
! [X3] :
( relation_inverse_image(sK0,singleton(X3)) = singleton(sK2(X3))
| one_to_one(sK0)
| ~ in(X3,sF24) ),
inference(definition_folding,[],[f125,f214]) ).
fof(f125,plain,
! [X3] :
( one_to_one(sK0)
| relation_inverse_image(sK0,singleton(X3)) = singleton(sK2(X3))
| ~ in(X3,relation_rng(sK0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f5546,plain,
! [X4,X5] :
( in(X4,relation_inverse_image(X5,singleton(apply(X5,X4))))
| ~ in(X4,relation_dom(X5))
| ~ function(X5)
| ~ relation(X5) ),
inference(resolution,[],[f203,f207]) ).
fof(f207,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f175]) ).
fof(f175,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f203,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| in(X4,relation_inverse_image(X0,X1))
| ~ in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(apply(X0,sK9(X0,X1,X2)),X1)
| ~ in(sK9(X0,X1,X2),relation_dom(X0))
| ~ in(sK9(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK9(X0,X1,X2)),X1)
& in(sK9(X0,X1,X2),relation_dom(X0)) )
| in(sK9(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f95,f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ~ in(apply(X0,sK9(X0,X1,X2)),X1)
| ~ in(sK9(X0,X1,X2),relation_dom(X0))
| ~ in(sK9(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK9(X0,X1,X2)),X1)
& in(sK9(X0,X1,X2),relation_dom(X0)) )
| in(sK9(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',d13_funct_1) ).
fof(f208103,plain,
( sK5(sK0) = sK2(apply(sK0,sK4(sK0)))
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f57618,f208077]) ).
fof(f208077,plain,
( in(sK5(sK0),relation_dom(sK0))
| one_to_one(sK0) ),
inference(superposition,[],[f77702,f207449]) ).
fof(f207449,plain,
relation_dom(sK0) = relation_inverse_image(sK0,sF24),
inference(subsumption_resolution,[],[f207448,f123]) ).
fof(f207448,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f207447,f124]) ).
fof(f207447,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f207430]) ).
fof(f207430,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f169998,f6295]) ).
fof(f6295,plain,
! [X0,X1] :
( in(sK9(X0,X1,relation_dom(X0)),relation_dom(X0))
| relation_inverse_image(X0,X1) = relation_dom(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(factoring,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( in(sK9(X0,X1,X2),relation_dom(X0))
| relation_inverse_image(X0,X1) = X2
| in(sK9(X0,X1,X2),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f169998,plain,
( ~ in(sK9(sK0,sF24,relation_dom(sK0)),relation_dom(sK0))
| relation_dom(sK0) = relation_inverse_image(sK0,sF24) ),
inference(subsumption_resolution,[],[f169997,f123]) ).
fof(f169997,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ in(sK9(sK0,sF24,relation_dom(sK0)),relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f169991,f124]) ).
fof(f169991,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ in(sK9(sK0,sF24,relation_dom(sK0)),relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f169984]) ).
fof(f169984,plain,
( relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ in(sK9(sK0,sF24,relation_dom(sK0)),relation_dom(sK0))
| relation_dom(sK0) = relation_inverse_image(sK0,sF24)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f9359,f6295]) ).
fof(f9359,plain,
! [X10] :
( ~ in(sK9(sK0,sF24,X10),relation_dom(sK0))
| relation_inverse_image(sK0,sF24) = X10
| ~ in(sK9(sK0,sF24,X10),X10) ),
inference(subsumption_resolution,[],[f9358,f123]) ).
fof(f9358,plain,
! [X10] :
( relation_inverse_image(sK0,sF24) = X10
| ~ in(sK9(sK0,sF24,X10),relation_dom(sK0))
| ~ in(sK9(sK0,sF24,X10),X10)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f9342,f124]) ).
fof(f9342,plain,
! [X10] :
( relation_inverse_image(sK0,sF24) = X10
| ~ in(sK9(sK0,sF24,X10),relation_dom(sK0))
| ~ in(sK9(sK0,sF24,X10),X10)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f9329]) ).
fof(f9329,plain,
! [X10] :
( relation_inverse_image(sK0,sF24) = X10
| ~ in(sK9(sK0,sF24,X10),relation_dom(sK0))
| ~ in(sK9(sK0,sF24,X10),X10)
| ~ function(sK0)
| ~ relation(sK0)
| ~ in(sK9(sK0,sF24,X10),relation_dom(sK0)) ),
inference(resolution,[],[f162,f3056]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ in(apply(X0,sK9(X0,X1,X2)),X1)
| relation_inverse_image(X0,X1) = X2
| ~ in(sK9(X0,X1,X2),relation_dom(X0))
| ~ in(sK9(X0,X1,X2),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f77702,plain,
( in(sK5(sK0),relation_inverse_image(sK0,sF24))
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f77701,f123]) ).
fof(f77701,plain,
( in(sK5(sK0),relation_inverse_image(sK0,sF24))
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f77677,f124]) ).
fof(f77677,plain,
( in(sK5(sK0),relation_inverse_image(sK0,sF24))
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(duplicate_literal_removal,[],[f77650]) ).
fof(f77650,plain,
( in(sK5(sK0),relation_inverse_image(sK0,sF24))
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0)
| one_to_one(sK0) ),
inference(resolution,[],[f5573,f36964]) ).
fof(f36964,plain,
( in(apply(sK0,sK4(sK0)),sF24)
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f36963,f123]) ).
fof(f36963,plain,
( in(apply(sK0,sK4(sK0)),sF24)
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(subsumption_resolution,[],[f36948,f124]) ).
fof(f36948,plain,
( in(apply(sK0,sK4(sK0)),sF24)
| ~ function(sK0)
| ~ relation(sK0)
| one_to_one(sK0) ),
inference(superposition,[],[f5177,f214]) ).
fof(f5177,plain,
! [X0] :
( in(apply(X0,sK4(X0)),relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(subsumption_resolution,[],[f5174,f148]) ).
fof(f148,plain,
! [X0] :
( in(sK5(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f5174,plain,
! [X0] :
( in(apply(X0,sK4(X0)),relation_rng(X0))
| ~ in(sK5(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(duplicate_literal_removal,[],[f5166]) ).
fof(f5166,plain,
! [X0] :
( in(apply(X0,sK4(X0)),relation_rng(X0))
| ~ in(sK5(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f200,f149]) ).
fof(f149,plain,
! [X0] :
( apply(X0,sK4(X0)) = apply(X0,sK5(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f5573,plain,
! [X3,X4] :
( ~ in(apply(X3,sK4(X3)),X4)
| in(sK5(X3),relation_inverse_image(X3,X4))
| ~ function(X3)
| ~ relation(X3)
| one_to_one(X3) ),
inference(subsumption_resolution,[],[f5556,f148]) ).
fof(f5556,plain,
! [X3,X4] :
( ~ in(apply(X3,sK4(X3)),X4)
| in(sK5(X3),relation_inverse_image(X3,X4))
| ~ in(sK5(X3),relation_dom(X3))
| ~ function(X3)
| ~ relation(X3)
| one_to_one(X3) ),
inference(duplicate_literal_removal,[],[f5553]) ).
fof(f5553,plain,
! [X3,X4] :
( ~ in(apply(X3,sK4(X3)),X4)
| in(sK5(X3),relation_inverse_image(X3,X4))
| ~ in(sK5(X3),relation_dom(X3))
| ~ function(X3)
| ~ relation(X3)
| one_to_one(X3)
| ~ function(X3)
| ~ relation(X3) ),
inference(superposition,[],[f203,f149]) ).
fof(f57618,plain,
( sK5(sK0) = sK2(apply(sK0,sK4(sK0)))
| one_to_one(sK0)
| ~ in(sK5(sK0),relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f57617,f123]) ).
fof(f57617,plain,
( sK5(sK0) = sK2(apply(sK0,sK4(sK0)))
| one_to_one(sK0)
| ~ in(sK5(sK0),relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f57609,f124]) ).
fof(f57609,plain,
( sK5(sK0) = sK2(apply(sK0,sK4(sK0)))
| one_to_one(sK0)
| ~ in(sK5(sK0),relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(duplicate_literal_removal,[],[f57358]) ).
fof(f57358,plain,
( sK5(sK0) = sK2(apply(sK0,sK4(sK0)))
| one_to_one(sK0)
| ~ in(sK5(sK0),relation_dom(sK0))
| one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f56178,f149]) ).
fof(f150,plain,
! [X0] :
( sK4(X0) != sK5(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f213,plain,
! [X2] :
( singleton(X2) != sF23
| ~ one_to_one(sK0) ),
inference(definition_folding,[],[f127,f212,f211]) ).
fof(f211,plain,
singleton(sK1) = sF22,
introduced(function_definition,[]) ).
fof(f212,plain,
relation_inverse_image(sK0,sF22) = sF23,
introduced(function_definition,[]) ).
fof(f127,plain,
! [X2] :
( ~ one_to_one(sK0)
| singleton(X2) != relation_inverse_image(sK0,singleton(sK1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f210314,plain,
! [X21] :
( sF23 = singleton(X21)
| ~ in(X21,sF23) ),
inference(trivial_inequality_removal,[],[f210313]) ).
fof(f210313,plain,
! [X21] :
( X21 != X21
| sF23 = singleton(X21)
| ~ in(X21,sF23) ),
inference(duplicate_literal_removal,[],[f210311]) ).
fof(f210311,plain,
! [X21] :
( X21 != X21
| sF23 = singleton(X21)
| ~ in(X21,sF23)
| ~ in(X21,sF23) ),
inference(superposition,[],[f177,f210293]) ).
fof(f210293,plain,
! [X0] :
( sK12(X0,sF23) = X0
| ~ in(X0,sF23) ),
inference(equality_resolution,[],[f210290]) ).
fof(f210290,plain,
! [X0,X1] :
( X0 != X1
| ~ in(X1,sF23)
| sK12(X0,sF23) = X1 ),
inference(equality_factoring,[],[f210249]) ).
fof(f210249,plain,
! [X34,X33] :
( sK12(X34,sF23) = X34
| ~ in(X33,sF23)
| sK12(X34,sF23) = X33 ),
inference(resolution,[],[f210200,f210016]) ).
fof(f210016,plain,
! [X1] :
( in(sK12(X1,sF23),sF23)
| sK12(X1,sF23) = X1 ),
inference(forward_demodulation,[],[f210015,f212]) ).
fof(f210015,plain,
! [X1] :
( sK12(X1,sF23) = X1
| in(sK12(X1,sF23),relation_inverse_image(sK0,sF22)) ),
inference(subsumption_resolution,[],[f210014,f209956]) ).
fof(f209956,plain,
! [X2] :
( in(sK12(X2,sF23),relation_dom(sK0))
| sK12(X2,sF23) = X2 ),
inference(subsumption_resolution,[],[f110665,f209941]) ).
fof(f110665,plain,
! [X2] :
( in(sK12(X2,sF23),relation_dom(sK0))
| singleton(X2) = sF23
| sK12(X2,sF23) = X2 ),
inference(subsumption_resolution,[],[f110664,f123]) ).
fof(f110664,plain,
! [X2] :
( in(sK12(X2,sF23),relation_dom(sK0))
| singleton(X2) = sF23
| sK12(X2,sF23) = X2
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f110636,f124]) ).
fof(f110636,plain,
! [X2] :
( in(sK12(X2,sF23),relation_dom(sK0))
| singleton(X2) = sF23
| sK12(X2,sF23) = X2
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f2368,f212]) ).
fof(f2368,plain,
! [X10,X11,X9] :
( in(sK12(X9,relation_inverse_image(X10,X11)),relation_dom(X10))
| singleton(X9) = relation_inverse_image(X10,X11)
| sK12(X9,relation_inverse_image(X10,X11)) = X9
| ~ function(X10)
| ~ relation(X10) ),
inference(resolution,[],[f176,f205]) ).
fof(f205,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f176,plain,
! [X0,X1] :
( in(sK12(X0,X1),X1)
| sK12(X0,X1) = X0
| singleton(X0) = X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f210014,plain,
! [X1] :
( sK12(X1,sF23) = X1
| in(sK12(X1,sF23),relation_inverse_image(sK0,sF22))
| ~ in(sK12(X1,sF23),relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f210013,f123]) ).
fof(f210013,plain,
! [X1] :
( sK12(X1,sF23) = X1
| in(sK12(X1,sF23),relation_inverse_image(sK0,sF22))
| ~ in(sK12(X1,sF23),relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f210002,f124]) ).
fof(f210002,plain,
! [X1] :
( sK12(X1,sF23) = X1
| in(sK12(X1,sF23),relation_inverse_image(sK0,sF22))
| ~ in(sK12(X1,sF23),relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f209958,f203]) ).
fof(f209958,plain,
! [X2] :
( in(apply(sK0,sK12(X2,sF23)),sF22)
| sK12(X2,sF23) = X2 ),
inference(subsumption_resolution,[],[f119176,f209941]) ).
fof(f119176,plain,
! [X2] :
( in(apply(sK0,sK12(X2,sF23)),sF22)
| sK12(X2,sF23) = X2
| singleton(X2) = sF23 ),
inference(subsumption_resolution,[],[f119175,f123]) ).
fof(f119175,plain,
! [X2] :
( in(apply(sK0,sK12(X2,sF23)),sF22)
| ~ relation(sK0)
| sK12(X2,sF23) = X2
| singleton(X2) = sF23 ),
inference(subsumption_resolution,[],[f119123,f124]) ).
fof(f119123,plain,
! [X2] :
( in(apply(sK0,sK12(X2,sF23)),sF22)
| ~ function(sK0)
| ~ relation(sK0)
| sK12(X2,sF23) = X2
| singleton(X2) = sF23 ),
inference(superposition,[],[f4700,f212]) ).
fof(f4700,plain,
! [X8,X6,X7] :
( in(apply(X6,sK12(X7,relation_inverse_image(X6,X8))),X8)
| ~ function(X6)
| ~ relation(X6)
| sK12(X7,relation_inverse_image(X6,X8)) = X7
| singleton(X7) = relation_inverse_image(X6,X8) ),
inference(resolution,[],[f204,f176]) ).
fof(f204,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X2,X0,X1,X4] :
( in(apply(X0,X4),X1)
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f210200,plain,
! [X0,X1] :
( ~ in(X1,sF23)
| X0 = X1
| ~ in(X0,sF23) ),
inference(superposition,[],[f210199,f210199]) ).
fof(f210199,plain,
! [X0] :
( sK8(sK0,sK1) = X0
| ~ in(X0,sF23) ),
inference(subsumption_resolution,[],[f210198,f209954]) ).
fof(f209954,plain,
in(sK1,sF24),
inference(subsumption_resolution,[],[f4962,f209948]) ).
fof(f4962,plain,
( in(sK1,sF24)
| empty(sF23) ),
inference(subsumption_resolution,[],[f4961,f3988]) ).
fof(f3988,plain,
~ empty(sF24),
inference(subsumption_resolution,[],[f298,f3987]) ).
fof(f3987,plain,
~ empty(sK0),
inference(subsumption_resolution,[],[f3984,f218]) ).
fof(f218,plain,
! [X0] :
( ~ empty(X0)
| one_to_one(X0) ),
inference(subsumption_resolution,[],[f217,f138]) ).
fof(f138,plain,
! [X0] :
( ~ empty(X0)
| relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',cc1_relat_1) ).
fof(f217,plain,
! [X0] :
( one_to_one(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f165,f137]) ).
fof(f137,plain,
! [X0] :
( ~ empty(X0)
| function(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',cc1_funct_1) ).
fof(f165,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& empty(X0)
& relation(X0) )
=> ( one_to_one(X0)
& function(X0)
& relation(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',cc2_funct_1) ).
fof(f3984,plain,
( ~ empty(sK0)
| ~ one_to_one(sK0) ),
inference(resolution,[],[f3982,f215]) ).
fof(f215,plain,
( in(sK1,sF24)
| ~ one_to_one(sK0) ),
inference(definition_folding,[],[f126,f214]) ).
fof(f126,plain,
( ~ one_to_one(sK0)
| in(sK1,relation_rng(sK0)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f3982,plain,
! [X0] :
( ~ in(X0,sF24)
| ~ empty(sK0) ),
inference(forward_demodulation,[],[f3981,f214]) ).
fof(f3981,plain,
! [X0] :
( ~ in(X0,relation_rng(sK0))
| ~ empty(sK0) ),
inference(subsumption_resolution,[],[f3980,f123]) ).
fof(f3980,plain,
! [X0] :
( ~ in(X0,relation_rng(sK0))
| ~ relation(sK0)
| ~ empty(sK0) ),
inference(subsumption_resolution,[],[f3975,f124]) ).
fof(f3975,plain,
! [X0] :
( ~ in(X0,relation_rng(sK0))
| ~ function(sK0)
| ~ relation(sK0)
| ~ empty(sK0) ),
inference(resolution,[],[f202,f3061]) ).
fof(f3061,plain,
! [X3] :
( ~ in(X3,relation_dom(sK0))
| ~ empty(sK0) ),
inference(forward_literal_rewriting,[],[f3060,f254]) ).
fof(f254,plain,
( ~ empty(sK0)
| empty(sF24) ),
inference(superposition,[],[f140,f214]) ).
fof(f140,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',fc8_relat_1) ).
fof(f3060,plain,
! [X3] :
( ~ in(X3,relation_dom(sK0))
| ~ empty(sF24) ),
inference(resolution,[],[f3056,f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t7_boole) ).
fof(f202,plain,
! [X0,X5] :
( in(sK8(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X5] :
( in(sK8(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f298,plain,
( ~ empty(sF24)
| empty(sK0) ),
inference(subsumption_resolution,[],[f297,f123]) ).
fof(f297,plain,
( ~ empty(sF24)
| ~ relation(sK0)
| empty(sK0) ),
inference(superposition,[],[f144,f214]) ).
fof(f144,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',fc6_relat_1) ).
fof(f4961,plain,
( empty(sF23)
| empty(sF24)
| in(sK1,sF24) ),
inference(resolution,[],[f4959,f172]) ).
fof(f4959,plain,
( element(sK1,sF24)
| empty(sF23) ),
inference(resolution,[],[f4754,f356]) ).
fof(f356,plain,
! [X4] :
( in(sK10(X4),X4)
| empty(X4) ),
inference(resolution,[],[f172,f166]) ).
fof(f4754,plain,
! [X2] :
( ~ in(X2,sF23)
| element(sK1,sF24) ),
inference(subsumption_resolution,[],[f4749,f2309]) ).
fof(f2309,plain,
! [X2] :
( in(X2,relation_dom(sK0))
| ~ in(X2,sF23) ),
inference(subsumption_resolution,[],[f2308,f123]) ).
fof(f2308,plain,
! [X2] :
( ~ in(X2,sF23)
| in(X2,relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f2282,f124]) ).
fof(f2282,plain,
! [X2] :
( ~ in(X2,sF23)
| in(X2,relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f205,f212]) ).
fof(f4749,plain,
! [X2] :
( element(sK1,sF24)
| ~ in(X2,relation_dom(sK0))
| ~ in(X2,sF23) ),
inference(superposition,[],[f3057,f4742]) ).
fof(f4742,plain,
! [X0] :
( sK1 = apply(sK0,X0)
| ~ in(X0,sF23) ),
inference(resolution,[],[f4731,f305]) ).
fof(f305,plain,
! [X0] :
( ~ in(X0,sF22)
| sK1 = X0 ),
inference(superposition,[],[f208,f211]) ).
fof(f4731,plain,
! [X2] :
( in(apply(sK0,X2),sF22)
| ~ in(X2,sF23) ),
inference(subsumption_resolution,[],[f4730,f123]) ).
fof(f4730,plain,
! [X2] :
( ~ in(X2,sF23)
| in(apply(sK0,X2),sF22)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f4702,f124]) ).
fof(f4702,plain,
! [X2] :
( ~ in(X2,sF23)
| in(apply(sK0,X2),sF22)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f204,f212]) ).
fof(f3057,plain,
! [X0] :
( element(apply(sK0,X0),sF24)
| ~ in(X0,relation_dom(sK0)) ),
inference(resolution,[],[f3056,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t1_subset) ).
fof(f210198,plain,
! [X0] :
( ~ in(sK1,sF24)
| sK8(sK0,sK1) = X0
| ~ in(X0,sF23) ),
inference(equality_resolution,[],[f209950]) ).
fof(f209950,plain,
! [X3,X4] :
( sK1 != X4
| ~ in(X4,sF24)
| sK8(sK0,X4) = X3
| ~ in(X3,sF23) ),
inference(subsumption_resolution,[],[f108807,f209940]) ).
fof(f108807,plain,
! [X3,X4] :
( ~ in(X4,sF24)
| sK1 != X4
| sK8(sK0,X4) = X3
| ~ one_to_one(sK0)
| ~ in(X3,sF23) ),
inference(forward_demodulation,[],[f108806,f214]) ).
fof(f108806,plain,
! [X3,X4] :
( sK1 != X4
| sK8(sK0,X4) = X3
| ~ one_to_one(sK0)
| ~ in(X4,relation_rng(sK0))
| ~ in(X3,sF23) ),
inference(subsumption_resolution,[],[f108805,f2309]) ).
fof(f108805,plain,
! [X3,X4] :
( sK1 != X4
| sK8(sK0,X4) = X3
| ~ in(X3,relation_dom(sK0))
| ~ one_to_one(sK0)
| ~ in(X4,relation_rng(sK0))
| ~ in(X3,sF23) ),
inference(subsumption_resolution,[],[f108804,f123]) ).
fof(f108804,plain,
! [X3,X4] :
( sK1 != X4
| sK8(sK0,X4) = X3
| ~ in(X3,relation_dom(sK0))
| ~ one_to_one(sK0)
| ~ relation(sK0)
| ~ in(X4,relation_rng(sK0))
| ~ in(X3,sF23) ),
inference(subsumption_resolution,[],[f108784,f124]) ).
fof(f108784,plain,
! [X3,X4] :
( sK1 != X4
| sK8(sK0,X4) = X3
| ~ in(X3,relation_dom(sK0))
| ~ one_to_one(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| ~ in(X4,relation_rng(sK0))
| ~ in(X3,sF23) ),
inference(superposition,[],[f7178,f4742]) ).
fof(f7178,plain,
! [X10,X8,X9] :
( apply(X8,X10) != X9
| sK8(X8,X9) = X10
| ~ in(X10,relation_dom(X8))
| ~ one_to_one(X8)
| ~ function(X8)
| ~ relation(X8)
| ~ in(X9,relation_rng(X8)) ),
inference(subsumption_resolution,[],[f7170,f202]) ).
fof(f7170,plain,
! [X10,X8,X9] :
( apply(X8,X10) != X9
| sK8(X8,X9) = X10
| ~ in(X10,relation_dom(X8))
| ~ in(sK8(X8,X9),relation_dom(X8))
| ~ one_to_one(X8)
| ~ function(X8)
| ~ relation(X8)
| ~ in(X9,relation_rng(X8)) ),
inference(duplicate_literal_removal,[],[f7156]) ).
fof(f7156,plain,
! [X10,X8,X9] :
( apply(X8,X10) != X9
| sK8(X8,X9) = X10
| ~ in(X10,relation_dom(X8))
| ~ in(sK8(X8,X9),relation_dom(X8))
| ~ one_to_one(X8)
| ~ function(X8)
| ~ relation(X8)
| ~ in(X9,relation_rng(X8))
| ~ function(X8)
| ~ relation(X8) ),
inference(superposition,[],[f146,f201]) ).
fof(f201,plain,
! [X0,X5] :
( apply(X0,sK8(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X5] :
( apply(X0,sK8(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f146,plain,
! [X3,X0,X4] :
( apply(X0,X3) != apply(X0,X4)
| X3 = X4
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f177,plain,
! [X0,X1] :
( sK12(X0,X1) != X0
| singleton(X0) = X1
| ~ in(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f209948,plain,
~ empty(sF23),
inference(subsumption_resolution,[],[f82482,f209940]) ).
fof(f82482,plain,
( ~ one_to_one(sK0)
| ~ empty(sF23) ),
inference(subsumption_resolution,[],[f82465,f230]) ).
fof(f230,plain,
in(sK1,sF22),
inference(superposition,[],[f207,f211]) ).
fof(f82465,plain,
( ~ empty(sF23)
| ~ in(sK1,sF22)
| ~ one_to_one(sK0) ),
inference(resolution,[],[f82458,f215]) ).
fof(f82458,plain,
! [X17] :
( ~ in(X17,sF24)
| ~ empty(sF23)
| ~ in(X17,sF22) ),
inference(forward_literal_rewriting,[],[f82448,f15907]) ).
fof(f15907,plain,
! [X0] :
( ~ empty(X0)
| sP21(X0) ),
inference(resolution,[],[f498,f169]) ).
fof(f169,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',reflexivity_r1_tarski) ).
fof(f498,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| sP21(X1)
| ~ empty(X0) ),
inference(resolution,[],[f209,f179]) ).
fof(f179,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t3_subset) ).
fof(f209,plain,
! [X2,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| sP21(X1) ),
inference(cnf_transformation,[],[f209_D]) ).
fof(f209_D,plain,
! [X1] :
( ! [X2] :
( ~ element(X1,powerset(X2))
| ~ empty(X2) )
<=> ~ sP21(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f82448,plain,
! [X17] :
( ~ in(X17,sF24)
| ~ in(X17,sF22)
| ~ sP21(sF23) ),
inference(resolution,[],[f82372,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ sP21(X1) ),
inference(general_splitting,[],[f183,f209_D]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',t5_subset) ).
fof(f82372,plain,
! [X2] :
( in(sK8(sK0,X2),sF23)
| ~ in(X2,sF24)
| ~ in(X2,sF22) ),
inference(forward_demodulation,[],[f82371,f214]) ).
fof(f82371,plain,
! [X2] :
( in(sK8(sK0,X2),sF23)
| ~ in(X2,sF22)
| ~ in(X2,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f82370,f123]) ).
fof(f82370,plain,
! [X2] :
( in(sK8(sK0,X2),sF23)
| ~ in(X2,sF22)
| ~ relation(sK0)
| ~ in(X2,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f82342,f124]) ).
fof(f82342,plain,
! [X2] :
( in(sK8(sK0,X2),sF23)
| ~ in(X2,sF22)
| ~ function(sK0)
| ~ relation(sK0)
| ~ in(X2,relation_rng(sK0)) ),
inference(superposition,[],[f5574,f212]) ).
fof(f5574,plain,
! [X6,X7,X5] :
( in(sK8(X5,X6),relation_inverse_image(X5,X7))
| ~ in(X6,X7)
| ~ function(X5)
| ~ relation(X5)
| ~ in(X6,relation_rng(X5)) ),
inference(subsumption_resolution,[],[f5555,f202]) ).
fof(f5555,plain,
! [X6,X7,X5] :
( ~ in(X6,X7)
| in(sK8(X5,X6),relation_inverse_image(X5,X7))
| ~ in(sK8(X5,X6),relation_dom(X5))
| ~ function(X5)
| ~ relation(X5)
| ~ in(X6,relation_rng(X5)) ),
inference(duplicate_literal_removal,[],[f5554]) ).
fof(f5554,plain,
! [X6,X7,X5] :
( ~ in(X6,X7)
| in(sK8(X5,X6),relation_inverse_image(X5,X7))
| ~ in(sK8(X5,X6),relation_dom(X5))
| ~ function(X5)
| ~ relation(X5)
| ~ in(X6,relation_rng(X5))
| ~ function(X5)
| ~ relation(X5) ),
inference(superposition,[],[f203,f201]) ).
fof(f166,plain,
! [X0] : element(sK10(X0),X0),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] : element(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f9,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f9,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000',existence_m1_subset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU063+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 17:32:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000
% 0.15/0.37 % (10212)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41 % (10214)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43 % (10213)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (10217)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43 % (10219)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43 % (10216)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43 % (10218)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (10215)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 21.72/3.49 % (10217)First to succeed.
% 21.72/3.49 % (10217)Refutation found. Thanks to Tanya!
% 21.72/3.49 % SZS status Theorem for Vampire---4
% 21.72/3.49 % SZS output start Proof for Vampire---4
% See solution above
% 21.72/3.50 % (10217)------------------------------
% 21.72/3.50 % (10217)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 21.72/3.50 % (10217)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 21.72/3.50 % (10217)Termination reason: Refutation
% 21.72/3.50
% 21.72/3.50 % (10217)Memory used [KB]: 18421
% 21.72/3.50 % (10217)Time elapsed: 3.067 s
% 21.72/3.50 % (10217)------------------------------
% 21.72/3.50 % (10217)------------------------------
% 21.72/3.50 % (10212)Success in time 3.101 s
% 21.72/3.50 10213 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.y0Z1hTgIzg/Vampire---4.8_10000
% 21.72/3.50 % (10213)------------------------------
% 21.72/3.50 % (10213)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 21.72/3.50 % (10213)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 21.72/3.50 % (10213)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 21.72/3.50
% 21.72/3.50 % (10213)Memory used [KB]: 27376
% 21.72/3.50 % (10213)Time elapsed: 3.072 s
% 21.72/3.50 % (10213)------------------------------
% 21.72/3.50 % (10213)------------------------------
% 21.72/3.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------