TSTP Solution File: SEU059+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU059+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : n003.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 17:55:08 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 93 ( 12 unt; 0 def)
% Number of atoms : 397 ( 53 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 504 ( 200 ~; 225 |; 65 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 169 (; 152 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2942,plain,
$false,
inference(unit_resulting_resolution,[],[f2922,f2932,f951]) ).
fof(f951,plain,
! [X0] :
( ~ in(X0,sF21)
| ~ in(X0,sF19) ),
inference(resolution,[],[f823,f805]) ).
fof(f805,plain,
! [X2] :
( in(apply(sK2,X2),sK1)
| ~ in(X2,sF21) ),
inference(subsumption_resolution,[],[f804,f108]) ).
fof(f108,plain,
relation(sK2),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( relation_inverse_image(sK2,set_difference(sK0,sK1)) != set_difference(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1))
& function(sK2)
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f46,f71]) ).
fof(f71,plain,
( ? [X0,X1,X2] :
( relation_inverse_image(X2,set_difference(X0,X1)) != set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& function(X2)
& relation(X2) )
=> ( relation_inverse_image(sK2,set_difference(sK0,sK1)) != set_difference(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1))
& function(sK2)
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_difference(X0,X1)) != set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0,X1,X2] :
( relation_inverse_image(X2,set_difference(X0,X1)) != set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> relation_inverse_image(X2,set_difference(X0,X1)) = set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> relation_inverse_image(X2,set_difference(X0,X1)) = set_difference(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.1MxHVcvs7D/Vampire---4.8_1253',t138_funct_1) ).
fof(f804,plain,
! [X2] :
( ~ in(X2,sF21)
| in(apply(sK2,X2),sK1)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f799,f109]) ).
fof(f109,plain,
function(sK2),
inference(cnf_transformation,[],[f72]) ).
fof(f799,plain,
! [X2] :
( ~ in(X2,sF21)
| in(apply(sK2,X2),sK1)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f171,f181]) ).
fof(f181,plain,
relation_inverse_image(sK2,sK1) = sF21,
introduced(function_definition,[]) ).
fof(f171,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,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,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(apply(X0,sK4(X0,X1,X2)),X1)
| ~ in(sK4(X0,X1,X2),relation_dom(X0))
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK4(X0,X1,X2)),X1)
& in(sK4(X0,X1,X2),relation_dom(X0)) )
| in(sK4(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,[sK4])],[f77,f78]) ).
fof(f78,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,sK4(X0,X1,X2)),X1)
| ~ in(sK4(X0,X1,X2),relation_dom(X0))
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK4(X0,X1,X2)),X1)
& in(sK4(X0,X1,X2),relation_dom(X0)) )
| in(sK4(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,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,[],[f76]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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/sandbox/tmp/tmp.1MxHVcvs7D/Vampire---4.8_1253',d13_funct_1) ).
fof(f823,plain,
! [X1] :
( ~ in(apply(sK2,X1),sK1)
| ~ in(X1,sF19) ),
inference(resolution,[],[f801,f272]) ).
fof(f272,plain,
! [X10] :
( ~ in(X10,sF18)
| ~ in(X10,sK1) ),
inference(superposition,[],[f174,f178]) ).
fof(f178,plain,
set_difference(sK0,sK1) = sF18,
introduced(function_definition,[]) ).
fof(f174,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ( ( in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( ~ in(sK8(X0,X1,X2),X1)
& in(sK8(X0,X1,X2),X0) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) )
=> ( ( in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( ~ in(sK8(X0,X1,X2),X1)
& in(sK8(X0,X1,X2),X0) )
| in(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0) )
& ( ( ~ in(X4,X1)
& in(X4,X0) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1MxHVcvs7D/Vampire---4.8_1253',d4_xboole_0) ).
fof(f801,plain,
! [X0] :
( in(apply(sK2,X0),sF18)
| ~ in(X0,sF19) ),
inference(subsumption_resolution,[],[f800,f108]) ).
fof(f800,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK2,X0),sF18)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f797,f109]) ).
fof(f797,plain,
! [X0] :
( ~ in(X0,sF19)
| in(apply(sK2,X0),sF18)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f171,f179]) ).
fof(f179,plain,
relation_inverse_image(sK2,sF18) = sF19,
introduced(function_definition,[]) ).
fof(f2932,plain,
in(sK8(sF20,sF21,sF19),sF21),
inference(subsumption_resolution,[],[f2931,f183]) ).
fof(f183,plain,
sF19 != sF22,
inference(definition_folding,[],[f110,f182,f181,f180,f179,f178]) ).
fof(f180,plain,
relation_inverse_image(sK2,sK0) = sF20,
introduced(function_definition,[]) ).
fof(f182,plain,
set_difference(sF20,sF21) = sF22,
introduced(function_definition,[]) ).
fof(f110,plain,
relation_inverse_image(sK2,set_difference(sK0,sK1)) != set_difference(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),
inference(cnf_transformation,[],[f72]) ).
fof(f2931,plain,
( sF19 = sF22
| in(sK8(sF20,sF21,sF19),sF21) ),
inference(forward_demodulation,[],[f2930,f182]) ).
fof(f2930,plain,
( in(sK8(sF20,sF21,sF19),sF21)
| sF19 = set_difference(sF20,sF21) ),
inference(subsumption_resolution,[],[f2924,f2864]) ).
fof(f2864,plain,
! [X0] :
( in(sK8(sF20,X0,sF19),sF20)
| sF19 = set_difference(sF20,X0) ),
inference(factoring,[],[f1091]) ).
fof(f1091,plain,
! [X2,X1] :
( in(sK8(X1,X2,sF19),sF20)
| in(sK8(X1,X2,sF19),X1)
| sF19 = set_difference(X1,X2) ),
inference(resolution,[],[f1076,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X2)
| in(sK8(X0,X1,X2),X0)
| set_difference(X0,X1) = X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f1076,plain,
! [X1] :
( ~ in(X1,sF19)
| in(X1,sF20) ),
inference(forward_demodulation,[],[f1075,f180]) ).
fof(f1075,plain,
! [X1] :
( in(X1,relation_inverse_image(sK2,sK0))
| ~ in(X1,sF19) ),
inference(subsumption_resolution,[],[f1074,f726]) ).
fof(f726,plain,
! [X0] :
( in(X0,relation_dom(sK2))
| ~ in(X0,sF19) ),
inference(subsumption_resolution,[],[f725,f108]) ).
fof(f725,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sK2))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f722,f109]) ).
fof(f722,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f172,f179]) ).
fof(f172,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f127]) ).
fof(f127,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,[],[f79]) ).
fof(f1074,plain,
! [X1] :
( in(X1,relation_inverse_image(sK2,sK0))
| ~ in(X1,relation_dom(sK2))
| ~ in(X1,sF19) ),
inference(subsumption_resolution,[],[f1073,f108]) ).
fof(f1073,plain,
! [X1] :
( in(X1,relation_inverse_image(sK2,sK0))
| ~ in(X1,relation_dom(sK2))
| ~ relation(sK2)
| ~ in(X1,sF19) ),
inference(subsumption_resolution,[],[f1061,f109]) ).
fof(f1061,plain,
! [X1] :
( in(X1,relation_inverse_image(sK2,sK0))
| ~ in(X1,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2)
| ~ in(X1,sF19) ),
inference(resolution,[],[f170,f822]) ).
fof(f822,plain,
! [X0] :
( in(apply(sK2,X0),sK0)
| ~ in(X0,sF19) ),
inference(resolution,[],[f801,f286]) ).
fof(f286,plain,
! [X10] :
( ~ in(X10,sF18)
| in(X10,sK0) ),
inference(superposition,[],[f175,f178]) ).
fof(f175,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f170,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,[],[f129]) ).
fof(f129,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,[],[f79]) ).
fof(f2924,plain,
( in(sK8(sF20,sF21,sF19),sF21)
| ~ in(sK8(sF20,sF21,sF19),sF20)
| sF19 = set_difference(sF20,sF21) ),
inference(resolution,[],[f2922,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ in(sK8(X0,X1,X2),X2)
| in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X0)
| set_difference(X0,X1) = X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f2922,plain,
in(sK8(sF20,sF21,sF19),sF19),
inference(subsumption_resolution,[],[f2921,f183]) ).
fof(f2921,plain,
( sF19 = sF22
| in(sK8(sF20,sF21,sF19),sF19) ),
inference(forward_demodulation,[],[f2920,f182]) ).
fof(f2920,plain,
( in(sK8(sF20,sF21,sF19),sF19)
| sF19 = set_difference(sF20,sF21) ),
inference(duplicate_literal_removal,[],[f2914]) ).
fof(f2914,plain,
( in(sK8(sF20,sF21,sF19),sF19)
| sF19 = set_difference(sF20,sF21)
| sF19 = set_difference(sF20,sF21)
| in(sK8(sF20,sF21,sF19),sF19) ),
inference(resolution,[],[f2868,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ in(sK8(X0,X1,X2),X1)
| set_difference(X0,X1) = X2
| in(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f2868,plain,
! [X0] :
( in(sK8(sF20,X0,sF19),sF21)
| in(sK8(sF20,X0,sF19),sF19)
| sF19 = set_difference(sF20,X0) ),
inference(resolution,[],[f2864,f1607]) ).
fof(f1607,plain,
! [X1] :
( ~ in(X1,sF20)
| in(X1,sF19)
| in(X1,sF21) ),
inference(forward_demodulation,[],[f1606,f181]) ).
fof(f1606,plain,
! [X1] :
( in(X1,sF19)
| ~ in(X1,sF20)
| in(X1,relation_inverse_image(sK2,sK1)) ),
inference(subsumption_resolution,[],[f1605,f728]) ).
fof(f728,plain,
! [X1] :
( in(X1,relation_dom(sK2))
| ~ in(X1,sF20) ),
inference(subsumption_resolution,[],[f727,f108]) ).
fof(f727,plain,
! [X1] :
( ~ in(X1,sF20)
| in(X1,relation_dom(sK2))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f723,f109]) ).
fof(f723,plain,
! [X1] :
( ~ in(X1,sF20)
| in(X1,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f172,f180]) ).
fof(f1605,plain,
! [X1] :
( in(X1,sF19)
| ~ in(X1,sF20)
| in(X1,relation_inverse_image(sK2,sK1))
| ~ in(X1,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f1604,f108]) ).
fof(f1604,plain,
! [X1] :
( in(X1,sF19)
| ~ in(X1,sF20)
| in(X1,relation_inverse_image(sK2,sK1))
| ~ in(X1,relation_dom(sK2))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f1598,f109]) ).
fof(f1598,plain,
! [X1] :
( in(X1,sF19)
| ~ in(X1,sF20)
| in(X1,relation_inverse_image(sK2,sK1))
| ~ in(X1,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f1591,f170]) ).
fof(f1591,plain,
! [X0] :
( in(apply(sK2,X0),sK1)
| in(X0,sF19)
| ~ in(X0,sF20) ),
inference(forward_demodulation,[],[f1590,f179]) ).
fof(f1590,plain,
! [X0] :
( in(apply(sK2,X0),sK1)
| ~ in(X0,sF20)
| in(X0,relation_inverse_image(sK2,sF18)) ),
inference(subsumption_resolution,[],[f1589,f728]) ).
fof(f1589,plain,
! [X0] :
( in(apply(sK2,X0),sK1)
| ~ in(X0,sF20)
| in(X0,relation_inverse_image(sK2,sF18))
| ~ in(X0,relation_dom(sK2)) ),
inference(subsumption_resolution,[],[f1588,f108]) ).
fof(f1588,plain,
! [X0] :
( in(apply(sK2,X0),sK1)
| ~ in(X0,sF20)
| in(X0,relation_inverse_image(sK2,sF18))
| ~ in(X0,relation_dom(sK2))
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f1580,f109]) ).
fof(f1580,plain,
! [X0] :
( in(apply(sK2,X0),sK1)
| ~ in(X0,sF20)
| in(X0,relation_inverse_image(sK2,sF18))
| ~ in(X0,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(sK2) ),
inference(resolution,[],[f875,f170]) ).
fof(f875,plain,
! [X1] :
( in(apply(sK2,X1),sF18)
| in(apply(sK2,X1),sK1)
| ~ in(X1,sF20) ),
inference(resolution,[],[f803,f404]) ).
fof(f404,plain,
! [X10] :
( ~ in(X10,sK0)
| in(X10,sK1)
| in(X10,sF18) ),
inference(superposition,[],[f173,f178]) ).
fof(f173,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| in(X4,X1)
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X1)
| ~ in(X4,X0)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f803,plain,
! [X1] :
( in(apply(sK2,X1),sK0)
| ~ in(X1,sF20) ),
inference(subsumption_resolution,[],[f802,f108]) ).
fof(f802,plain,
! [X1] :
( ~ in(X1,sF20)
| in(apply(sK2,X1),sK0)
| ~ relation(sK2) ),
inference(subsumption_resolution,[],[f798,f109]) ).
fof(f798,plain,
! [X1] :
( ~ in(X1,sF20)
| in(apply(sK2,X1),sK0)
| ~ function(sK2)
| ~ relation(sK2) ),
inference(superposition,[],[f171,f180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU059+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 13:05:52 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/sandbox/tmp/tmp.1MxHVcvs7D/Vampire---4.8_1253
% 0.15/0.36 % (1450)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (1452)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)
% 0.22/0.42 % (1451)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)
% 0.22/0.42 % (1457)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (1456)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)
% 0.22/0.42 % (1458)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)
% 0.22/0.42 % (1453)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)
% 0.22/0.42 % (1455)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)
% 0.22/0.52 % (1456)First to succeed.
% 0.22/0.53 % (1456)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for Vampire---4
% 0.22/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.53 % (1456)------------------------------
% 0.22/0.53 % (1456)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.53 % (1456)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.53 % (1456)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (1456)Memory used [KB]: 2558
% 0.22/0.53 % (1456)Time elapsed: 0.104 s
% 0.22/0.53 % (1456)------------------------------
% 0.22/0.53 % (1456)------------------------------
% 0.22/0.53 % (1450)Success in time 0.163 s
% 0.22/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------