TSTP Solution File: SEU221+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU221+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 18:27:37 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 80 ( 12 unt; 0 def)
% Number of atoms : 407 ( 124 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 544 ( 217 ~; 201 |; 99 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 104 ( 87 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f344,plain,
$false,
inference(subsumption_resolution,[],[f343,f190]) ).
fof(f190,plain,
relation(sK9),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( function(sK9)
& relation(sK9)
& one_to_one(sK9)
& ~ one_to_one(function_inverse(sK9)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f62,f121]) ).
fof(f121,plain,
( ? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ~ one_to_one(function_inverse(X0)) )
=> ( function(sK9)
& relation(sK9)
& one_to_one(sK9)
& ~ one_to_one(function_inverse(sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( function(X0)
& relation(X0)
& one_to_one(X0)
& ~ one_to_one(function_inverse(X0)) ),
inference(flattening,[],[f61]) ).
fof(f61,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/benchmark/theBenchmark.p',t62_funct_1) ).
fof(f343,plain,
~ relation(sK9),
inference(subsumption_resolution,[],[f341,f191]) ).
fof(f191,plain,
function(sK9),
inference(cnf_transformation,[],[f122]) ).
fof(f341,plain,
( ~ function(sK9)
| ~ relation(sK9) ),
inference(resolution,[],[f340,f187]) ).
fof(f187,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f340,plain,
~ function(function_inverse(sK9)),
inference(subsumption_resolution,[],[f339,f281]) ).
fof(f281,plain,
sK14(function_inverse(sK9)) != sK15(function_inverse(sK9)),
inference(subsumption_resolution,[],[f280,f190]) ).
fof(f280,plain,
( ~ relation(sK9)
| sK14(function_inverse(sK9)) != sK15(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f278,f191]) ).
fof(f278,plain,
( sK14(function_inverse(sK9)) != sK15(function_inverse(sK9))
| ~ function(sK9)
| ~ relation(sK9) ),
inference(resolution,[],[f277,f187]) ).
fof(f277,plain,
( ~ function(function_inverse(sK9))
| sK14(function_inverse(sK9)) != sK15(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f249,f245]) ).
fof(f245,plain,
relation(function_inverse(sK9)),
inference(subsumption_resolution,[],[f243,f190]) ).
fof(f243,plain,
( relation(function_inverse(sK9))
| ~ relation(sK9) ),
inference(resolution,[],[f191,f186]) ).
fof(f186,plain,
! [X0] :
( ~ function(X0)
| relation(function_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f249,plain,
( ~ relation(function_inverse(sK9))
| sK14(function_inverse(sK9)) != sK15(function_inverse(sK9))
| ~ function(function_inverse(sK9)) ),
inference(resolution,[],[f188,f212]) ).
fof(f212,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| sK15(X0) != sK14(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ( apply(X0,sK15(X0)) = apply(X0,sK14(X0))
& in(sK14(X0),relation_dom(X0))
& sK15(X0) != sK14(X0)
& in(sK15(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| X3 = X4
| ~ in(X4,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f136,f137]) ).
fof(f137,plain,
! [X0] :
( ? [X1,X2] :
( apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0))
& X1 != X2
& in(X2,relation_dom(X0)) )
=> ( apply(X0,sK15(X0)) = apply(X0,sK14(X0))
& in(sK14(X0),relation_dom(X0))
& sK15(X0) != sK14(X0)
& in(sK15(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0))
& X1 != X2
& in(X2,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X3,relation_dom(X0))
| X3 = X4
| ~ in(X4,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( ( one_to_one(X0)
| ? [X1,X2] :
( apply(X0,X1) = apply(X0,X2)
& in(X1,relation_dom(X0))
& X1 != X2
& in(X2,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| X1 = X2
| ~ in(X2,relation_dom(X0)) )
| ~ one_to_one(X0) ) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ( one_to_one(X0)
<=> ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| X1 = X2
| ~ in(X2,relation_dom(X0)) ) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ! [X2,X1] :
( X1 = X2
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| apply(X0,X1) != apply(X0,X2) )
<=> one_to_one(X0) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X2,X1] :
( ( in(X1,relation_dom(X0))
& in(X2,relation_dom(X0))
& apply(X0,X1) = apply(X0,X2) )
=> X1 = X2 )
<=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f188,plain,
~ one_to_one(function_inverse(sK9)),
inference(cnf_transformation,[],[f122]) ).
fof(f339,plain,
( sK14(function_inverse(sK9)) = sK15(function_inverse(sK9))
| ~ function(function_inverse(sK9)) ),
inference(forward_demodulation,[],[f338,f319]) ).
fof(f319,plain,
sK14(function_inverse(sK9)) = apply(sK9,apply(function_inverse(sK9),sK14(function_inverse(sK9)))),
inference(subsumption_resolution,[],[f318,f191]) ).
fof(f318,plain,
( ~ function(sK9)
| sK14(function_inverse(sK9)) = apply(sK9,apply(function_inverse(sK9),sK14(function_inverse(sK9)))) ),
inference(subsumption_resolution,[],[f316,f190]) ).
fof(f316,plain,
( sK14(function_inverse(sK9)) = apply(sK9,apply(function_inverse(sK9),sK14(function_inverse(sK9))))
| ~ relation(sK9)
| ~ function(sK9) ),
inference(resolution,[],[f296,f187]) ).
fof(f296,plain,
( ~ function(function_inverse(sK9))
| sK14(function_inverse(sK9)) = apply(sK9,apply(function_inverse(sK9),sK14(function_inverse(sK9)))) ),
inference(resolution,[],[f295,f258]) ).
fof(f258,plain,
( in(sK14(function_inverse(sK9)),relation_dom(function_inverse(sK9)))
| ~ function(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f246,f245]) ).
fof(f246,plain,
( ~ relation(function_inverse(sK9))
| in(sK14(function_inverse(sK9)),relation_dom(function_inverse(sK9)))
| ~ function(function_inverse(sK9)) ),
inference(resolution,[],[f188,f213]) ).
fof(f213,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| in(sK14(X0),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f295,plain,
! [X4] :
( ~ in(X4,relation_dom(function_inverse(sK9)))
| apply(sK9,apply(function_inverse(sK9),X4)) = X4 ),
inference(forward_demodulation,[],[f294,f254]) ).
fof(f254,plain,
relation_rng(sK9) = relation_dom(function_inverse(sK9)),
inference(subsumption_resolution,[],[f253,f190]) ).
fof(f253,plain,
( ~ relation(sK9)
| relation_rng(sK9) = relation_dom(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f242,f191]) ).
fof(f242,plain,
( ~ function(sK9)
| relation_rng(sK9) = relation_dom(function_inverse(sK9))
| ~ relation(sK9) ),
inference(subsumption_resolution,[],[f241,f186]) ).
fof(f241,plain,
( ~ relation(sK9)
| ~ function(sK9)
| relation_rng(sK9) = relation_dom(function_inverse(sK9))
| ~ relation(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f231,f187]) ).
fof(f231,plain,
( ~ function(function_inverse(sK9))
| relation_rng(sK9) = relation_dom(function_inverse(sK9))
| ~ relation(function_inverse(sK9))
| ~ relation(sK9)
| ~ function(sK9) ),
inference(resolution,[],[f189,f230]) ).
fof(f230,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(X0)
| ~ relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(function_inverse(X0)) ),
inference(equality_resolution,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ function(X0)
| ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ( sK4(X0,X1) = apply(X0,sK5(X0,X1))
& in(sK5(X0,X1),relation_dom(X0))
& ( sK5(X0,X1) != apply(X1,sK4(X0,X1))
| ~ in(sK4(X0,X1),relation_rng(X0)) ) )
| ~ sP0(X0,sK4(X0,X1),sK5(X0,X1),X1)
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f111,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( apply(X0,X5) = X4
& in(X5,relation_dom(X0))
& ( apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) ) )
| ~ sP0(X0,X4,X5,X1) )
=> ( ( sK4(X0,X1) = apply(X0,sK5(X0,X1))
& in(sK5(X0,X1),relation_dom(X0))
& ( sK5(X0,X1) != apply(X1,sK4(X0,X1))
| ~ in(sK4(X0,X1),relation_rng(X0)) ) )
| ~ sP0(X0,sK4(X0,X1),sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| ? [X4,X5] :
( ( apply(X0,X5) = X4
& in(X5,relation_dom(X0))
& ( apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) ) )
| ~ sP0(X0,X4,X5,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != 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)) ) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != 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)) ) )
| ~ sP0(X0,X2,X3,X1) )
| relation_rng(X0) != relation_dom(X1) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& sP0(X0,X2,X3,X1) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(definition_folding,[],[f72,f96]) ).
fof(f96,plain,
! [X0,X2,X3,X1] :
( sP0(X0,X2,X3,X1)
<=> ( ~ in(X2,relation_rng(X0))
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f72,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ~ in(X2,relation_rng(X0))
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3 ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( ( 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(X1)
| ~ function(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( function_inverse(X0) = X1
<=> ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( ( 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)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f189,plain,
one_to_one(sK9),
inference(cnf_transformation,[],[f122]) ).
fof(f294,plain,
! [X4] :
( ~ in(X4,relation_rng(sK9))
| apply(sK9,apply(function_inverse(sK9),X4)) = X4 ),
inference(subsumption_resolution,[],[f293,f191]) ).
fof(f293,plain,
! [X4] :
( ~ in(X4,relation_rng(sK9))
| apply(sK9,apply(function_inverse(sK9),X4)) = X4
| ~ function(sK9) ),
inference(subsumption_resolution,[],[f235,f190]) ).
fof(f235,plain,
! [X4] :
( ~ in(X4,relation_rng(sK9))
| ~ relation(sK9)
| ~ function(sK9)
| apply(sK9,apply(function_inverse(sK9),X4)) = X4 ),
inference(resolution,[],[f189,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ one_to_one(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| apply(X1,apply(function_inverse(X1),X0)) = X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ one_to_one(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 )
| ~ function(X1) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ~ one_to_one(X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0)
| ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 )
| ~ function(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 )
| ~ one_to_one(X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( ( one_to_one(X0)
& in(X1,relation_rng(X0)) )
=> ( apply(X0,apply(function_inverse(X0),X1)) = X1
& apply(relation_composition(function_inverse(X0),X0),X1) = X1 ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X1)
& in(X0,relation_rng(X1)) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f338,plain,
( ~ function(function_inverse(sK9))
| apply(sK9,apply(function_inverse(sK9),sK14(function_inverse(sK9)))) = sK15(function_inverse(sK9)) ),
inference(forward_demodulation,[],[f297,f323]) ).
fof(f323,plain,
apply(function_inverse(sK9),sK14(function_inverse(sK9))) = apply(function_inverse(sK9),sK15(function_inverse(sK9))),
inference(subsumption_resolution,[],[f322,f190]) ).
fof(f322,plain,
( apply(function_inverse(sK9),sK14(function_inverse(sK9))) = apply(function_inverse(sK9),sK15(function_inverse(sK9)))
| ~ relation(sK9) ),
inference(subsumption_resolution,[],[f320,f191]) ).
fof(f320,plain,
( ~ function(sK9)
| apply(function_inverse(sK9),sK14(function_inverse(sK9))) = apply(function_inverse(sK9),sK15(function_inverse(sK9)))
| ~ relation(sK9) ),
inference(resolution,[],[f308,f187]) ).
fof(f308,plain,
( ~ function(function_inverse(sK9))
| apply(function_inverse(sK9),sK14(function_inverse(sK9))) = apply(function_inverse(sK9),sK15(function_inverse(sK9))) ),
inference(subsumption_resolution,[],[f250,f245]) ).
fof(f250,plain,
( apply(function_inverse(sK9),sK14(function_inverse(sK9))) = apply(function_inverse(sK9),sK15(function_inverse(sK9)))
| ~ relation(function_inverse(sK9))
| ~ function(function_inverse(sK9)) ),
inference(resolution,[],[f188,f214]) ).
fof(f214,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK15(X0)) = apply(X0,sK14(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f297,plain,
( ~ function(function_inverse(sK9))
| apply(sK9,apply(function_inverse(sK9),sK15(function_inverse(sK9)))) = sK15(function_inverse(sK9)) ),
inference(resolution,[],[f295,f271]) ).
fof(f271,plain,
( in(sK15(function_inverse(sK9)),relation_dom(function_inverse(sK9)))
| ~ function(function_inverse(sK9)) ),
inference(subsumption_resolution,[],[f247,f245]) ).
fof(f247,plain,
( ~ relation(function_inverse(sK9))
| ~ function(function_inverse(sK9))
| in(sK15(function_inverse(sK9)),relation_dom(function_inverse(sK9))) ),
inference(resolution,[],[f188,f211]) ).
fof(f211,plain,
! [X0] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| in(sK15(X0),relation_dom(X0)) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU221+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:01:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.44 % (23452)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.46 % (23457)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.47 % (23480)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.48 % (23464)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.48 % (23457)First to succeed.
% 0.21/0.49 % (23457)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (23457)------------------------------
% 0.21/0.49 % (23457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (23457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (23457)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (23457)Memory used [KB]: 1663
% 0.21/0.49 % (23457)Time elapsed: 0.070 s
% 0.21/0.49 % (23457)Instructions burned: 8 (million)
% 0.21/0.49 % (23457)------------------------------
% 0.21/0.49 % (23457)------------------------------
% 0.21/0.49 % (23451)Success in time 0.136 s
%------------------------------------------------------------------------------