TSTP Solution File: SEU221+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU221+3 : 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 : n016.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 17:57:02 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 11 unt; 0 def)
% Number of atoms : 406 ( 119 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 548 ( 217 ~; 211 |; 95 &)
% ( 8 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 103 (; 86 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f953,plain,
$false,
inference(unit_resulting_resolution,[],[f257,f260,f216,f952,f164]) ).
fof(f164,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK5(X0) != sK6(X0)
& apply(X0,sK5(X0)) = apply(X0,sK6(X0))
& in(sK6(X0),relation_dom(X0))
& in(sK5(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,[sK5,sK6])],[f102,f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK5(X0) != sK6(X0)
& apply(X0,sK5(X0)) = apply(X0,sK6(X0))
& in(sK6(X0),relation_dom(X0))
& in(sK5(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,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,[],[f101]) ).
fof(f101,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,[],[f64]) ).
fof(f64,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,[],[f63]) ).
fof(f63,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,[],[f5]) ).
fof(f5,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.IV7ReKMQsI/Vampire---4.8_5356',d8_funct_1) ).
fof(f952,plain,
sK6(sF18) = sK5(sF18),
inference(subsumption_resolution,[],[f951,f257]) ).
fof(f951,plain,
( sK6(sF18) = sK5(sF18)
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f950,f260]) ).
fof(f950,plain,
( sK6(sF18) = sK5(sF18)
| ~ function(sF18)
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f949,f216]) ).
fof(f949,plain,
( sK6(sF18) = sK5(sF18)
| one_to_one(sF18)
| ~ function(sF18)
| ~ relation(sF18) ),
inference(resolution,[],[f948,f161]) ).
fof(f161,plain,
! [X0] :
( in(sK5(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f948,plain,
( ~ in(sK5(sF18),relation_dom(sF18))
| sK6(sF18) = sK5(sF18) ),
inference(subsumption_resolution,[],[f947,f257]) ).
fof(f947,plain,
( sK6(sF18) = sK5(sF18)
| ~ in(sK5(sF18),relation_dom(sF18))
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f946,f260]) ).
fof(f946,plain,
( sK6(sF18) = sK5(sF18)
| ~ in(sK5(sF18),relation_dom(sF18))
| ~ function(sF18)
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f945,f216]) ).
fof(f945,plain,
( sK6(sF18) = sK5(sF18)
| ~ in(sK5(sF18),relation_dom(sF18))
| one_to_one(sF18)
| ~ function(sF18)
| ~ relation(sF18) ),
inference(resolution,[],[f932,f162]) ).
fof(f162,plain,
! [X0] :
( in(sK6(X0),relation_dom(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f932,plain,
( ~ in(sK6(sF18),relation_dom(sF18))
| sK6(sF18) = sK5(sF18)
| ~ in(sK5(sF18),relation_dom(sF18)) ),
inference(superposition,[],[f919,f886]) ).
fof(f886,plain,
! [X0] :
( apply(sK1,apply(sF18,X0)) = X0
| ~ in(X0,relation_dom(sF18)) ),
inference(forward_demodulation,[],[f885,f512]) ).
fof(f512,plain,
relation_rng(sK1) = relation_dom(sF18),
inference(subsumption_resolution,[],[f511,f125]) ).
fof(f125,plain,
relation(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ~ one_to_one(function_inverse(sK1))
& one_to_one(sK1)
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f48,f89]) ).
fof(f89,plain,
( ? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ~ one_to_one(function_inverse(sK1))
& one_to_one(sK1)
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f38]) ).
fof(f38,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IV7ReKMQsI/Vampire---4.8_5356',t62_funct_1) ).
fof(f511,plain,
( relation_rng(sK1) = relation_dom(sF18)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f510,f126]) ).
fof(f126,plain,
function(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f510,plain,
( relation_rng(sK1) = relation_dom(sF18)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f497,f127]) ).
fof(f127,plain,
one_to_one(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f497,plain,
( relation_rng(sK1) = relation_dom(sF18)
| ~ one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f224,f215]) ).
fof(f215,plain,
function_inverse(sK1) = sF18,
introduced(function_definition,[]) ).
fof(f224,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f223,f146]) ).
fof(f146,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IV7ReKMQsI/Vampire---4.8_5356',dt_k2_funct_1) ).
fof(f223,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f212,f147]) ).
fof(f147,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f212,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ( ( sK4(X0,X1) != apply(X1,sK3(X0,X1))
| ~ in(sK3(X0,X1),relation_rng(X0)) )
& sK3(X0,X1) = apply(X0,sK4(X0,X1))
& in(sK4(X0,X1),relation_dom(X0)) )
| ~ sP0(sK3(X0,X1),sK4(X0,X1),X0,X1)
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& sP0(X4,X5,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
=> ( ( ( sK4(X0,X1) != apply(X1,sK3(X0,X1))
| ~ in(sK3(X0,X1),relation_rng(X0)) )
& sK3(X0,X1) = apply(X0,sK4(X0,X1))
& in(sK4(X0,X1),relation_dom(X0)) )
| ~ sP0(sK3(X0,X1),sK4(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& sP0(X4,X5,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ sP0(X2,X3,X0,X1) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& sP0(X2,X3,X0,X1) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f62,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( sP0(X2,X3,X0,X1)
<=> ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IV7ReKMQsI/Vampire---4.8_5356',t54_funct_1) ).
fof(f885,plain,
! [X0] :
( apply(sK1,apply(sF18,X0)) = X0
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f884,f125]) ).
fof(f884,plain,
! [X0] :
( apply(sK1,apply(sF18,X0)) = X0
| ~ in(X0,relation_rng(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f883,f126]) ).
fof(f883,plain,
! [X0] :
( apply(sK1,apply(sF18,X0)) = X0
| ~ in(X0,relation_rng(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f870,f127]) ).
fof(f870,plain,
! [X0] :
( apply(sK1,apply(sF18,X0)) = X0
| ~ in(X0,relation_rng(sK1))
| ~ one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f181,f215]) ).
fof(f181,plain,
! [X0,X1] :
( apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.IV7ReKMQsI/Vampire---4.8_5356',t57_funct_1) ).
fof(f919,plain,
( sK6(sF18) = apply(sK1,apply(sF18,sK5(sF18)))
| ~ in(sK6(sF18),relation_dom(sF18)) ),
inference(subsumption_resolution,[],[f918,f257]) ).
fof(f918,plain,
( sK6(sF18) = apply(sK1,apply(sF18,sK5(sF18)))
| ~ in(sK6(sF18),relation_dom(sF18))
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f917,f260]) ).
fof(f917,plain,
( sK6(sF18) = apply(sK1,apply(sF18,sK5(sF18)))
| ~ in(sK6(sF18),relation_dom(sF18))
| ~ function(sF18)
| ~ relation(sF18) ),
inference(subsumption_resolution,[],[f909,f216]) ).
fof(f909,plain,
( sK6(sF18) = apply(sK1,apply(sF18,sK5(sF18)))
| ~ in(sK6(sF18),relation_dom(sF18))
| one_to_one(sF18)
| ~ function(sF18)
| ~ relation(sF18) ),
inference(superposition,[],[f886,f163]) ).
fof(f163,plain,
! [X0] :
( apply(X0,sK5(X0)) = apply(X0,sK6(X0))
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f216,plain,
~ one_to_one(sF18),
inference(definition_folding,[],[f128,f215]) ).
fof(f128,plain,
~ one_to_one(function_inverse(sK1)),
inference(cnf_transformation,[],[f90]) ).
fof(f260,plain,
function(sF18),
inference(subsumption_resolution,[],[f259,f125]) ).
fof(f259,plain,
( function(sF18)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f258,f126]) ).
fof(f258,plain,
( function(sF18)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f147,f215]) ).
fof(f257,plain,
relation(sF18),
inference(subsumption_resolution,[],[f256,f125]) ).
fof(f256,plain,
( relation(sF18)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f255,f126]) ).
fof(f255,plain,
( relation(sF18)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f146,f215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 01:25:23 EDT 2023
% 0.21/0.36 % CPUTime :
% 0.21/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.IV7ReKMQsI/Vampire---4.8_5356
% 0.21/0.37 % (5557)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5563)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.42 % (5562)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)
% 0.21/0.42 % (5559)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)
% 0.21/0.43 % (5560)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)
% 0.21/0.43 % (5564)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)
% 0.21/0.43 % (5561)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)
% 0.21/0.43 % (5558)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)
% 0.21/0.44 % (5561)Refutation not found, incomplete strategy% (5561)------------------------------
% 0.21/0.44 % (5561)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (5561)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (5561)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44 % (5561)Memory used [KB]: 10362
% 0.21/0.44 % (5561)Time elapsed: 0.014 s
% 0.21/0.44 % (5561)------------------------------
% 0.21/0.44 % (5561)------------------------------
% 0.21/0.46 % (5562)First to succeed.
% 0.21/0.46 % (5562)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (5562)------------------------------
% 0.21/0.46 % (5562)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (5562)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (5562)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (5562)Memory used [KB]: 1791
% 0.21/0.46 % (5562)Time elapsed: 0.036 s
% 0.21/0.46 % (5562)------------------------------
% 0.21/0.46 % (5562)------------------------------
% 0.21/0.46 % (5557)Success in time 0.094 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------