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 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 : Sun May 5 09:21:10 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 93 ( 8 unt; 0 def)
% Number of atoms : 474 ( 114 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 647 ( 266 ~; 257 |; 95 &)
% ( 12 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 99 ( 82 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f513,plain,
$false,
inference(avatar_sat_refutation,[],[f247,f252,f258,f264,f512]) ).
fof(f512,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f510,f237]) ).
fof(f237,plain,
( relation(function_inverse(sK1))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl14_1
<=> relation(function_inverse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f510,plain,
( ~ relation(function_inverse(sK1))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f509,f241]) ).
fof(f241,plain,
( function(function_inverse(sK1))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl14_2
<=> function(function_inverse(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f509,plain,
( ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f508,f112]) ).
fof(f112,plain,
~ one_to_one(function_inverse(sK1)),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ~ one_to_one(function_inverse(sK1))
& one_to_one(sK1)
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f46,f79]) ).
fof(f79,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(f46,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,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/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521',t62_funct_1) ).
fof(f508,plain,
( one_to_one(function_inverse(sK1))
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f507,plain,
( sK9(function_inverse(sK1)) != sK9(function_inverse(sK1))
| one_to_one(function_inverse(sK1))
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(superposition,[],[f147,f464]) ).
fof(f464,plain,
( sK9(function_inverse(sK1)) = sK10(function_inverse(sK1))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4 ),
inference(backward_demodulation,[],[f450,f463]) ).
fof(f463,plain,
( sK9(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK9(function_inverse(sK1))))
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f462,f109]) ).
fof(f109,plain,
relation(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f462,plain,
( sK9(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK9(function_inverse(sK1))))
| ~ relation(sK1)
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f461,f110]) ).
fof(f110,plain,
function(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f461,plain,
( sK9(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK9(function_inverse(sK1))))
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f453,f111]) ).
fof(f111,plain,
one_to_one(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f453,plain,
( sK9(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK9(function_inverse(sK1))))
| ~ one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl14_3 ),
inference(resolution,[],[f430,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521',t57_funct_1) ).
fof(f430,plain,
( in(sK9(function_inverse(sK1)),relation_rng(sK1))
| ~ spl14_3 ),
inference(backward_demodulation,[],[f246,f425]) ).
fof(f425,plain,
relation_dom(function_inverse(sK1)) = relation_rng(sK1),
inference(subsumption_resolution,[],[f424,f109]) ).
fof(f424,plain,
( relation_dom(function_inverse(sK1)) = relation_rng(sK1)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f415,f110]) ).
fof(f415,plain,
( relation_dom(function_inverse(sK1)) = relation_rng(sK1)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(resolution,[],[f306,f111]) ).
fof(f306,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f305,f128]) ).
fof(f128,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,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/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521',dt_k2_funct_1) ).
fof(f305,plain,
! [X0] :
( ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f184,f127]) ).
fof(f127,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f184,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f120]) ).
fof(f120,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,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ( ( sK3(X0,X1) != apply(X1,sK2(X0,X1))
| ~ in(sK2(X0,X1),relation_rng(X0)) )
& sK2(X0,X1) = apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),relation_dom(X0)) )
| ~ sP0(sK2(X0,X1),sK3(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,[sK2,sK3])],[f86,f87]) ).
fof(f87,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) )
=> ( ( ( sK3(X0,X1) != apply(X1,sK2(X0,X1))
| ~ in(sK2(X0,X1),relation_rng(X0)) )
& sK2(X0,X1) = apply(X0,sK3(X0,X1))
& in(sK3(X0,X1),relation_dom(X0)) )
| ~ sP0(sK2(X0,X1),sK3(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f86,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,[],[f85]) ).
fof(f85,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,[],[f84]) ).
fof(f84,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,[],[f78]) ).
fof(f78,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,[],[f50,f77]) ).
fof(f77,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(f50,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,[],[f49]) ).
fof(f49,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/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521',t54_funct_1) ).
fof(f246,plain,
( in(sK9(function_inverse(sK1)),relation_dom(function_inverse(sK1)))
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl14_3
<=> in(sK9(function_inverse(sK1)),relation_dom(function_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f450,plain,
( sK10(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK9(function_inverse(sK1))))
| ~ spl14_1
| ~ spl14_2
| ~ spl14_4 ),
inference(forward_demodulation,[],[f449,f272]) ).
fof(f272,plain,
( apply(function_inverse(sK1),sK9(function_inverse(sK1))) = apply(function_inverse(sK1),sK10(function_inverse(sK1)))
| ~ spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f271,f237]) ).
fof(f271,plain,
( apply(function_inverse(sK1),sK9(function_inverse(sK1))) = apply(function_inverse(sK1),sK10(function_inverse(sK1)))
| ~ relation(function_inverse(sK1))
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f270,f241]) ).
fof(f270,plain,
( apply(function_inverse(sK1),sK9(function_inverse(sK1))) = apply(function_inverse(sK1),sK10(function_inverse(sK1)))
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1)) ),
inference(resolution,[],[f146,f112]) ).
fof(f146,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK9(X0)) = apply(X0,sK10(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK9(X0) != sK10(X0)
& apply(X0,sK9(X0)) = apply(X0,sK10(X0))
& in(sK10(X0),relation_dom(X0))
& in(sK9(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,[sK9,sK10])],[f100,f101]) ).
fof(f101,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK9(X0) != sK10(X0)
& apply(X0,sK9(X0)) = apply(X0,sK10(X0))
& in(sK10(X0),relation_dom(X0))
& in(sK9(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,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,[],[f99]) ).
fof(f99,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,[],[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(flattening,[],[f55]) ).
fof(f55,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/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521',d8_funct_1) ).
fof(f449,plain,
( sK10(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK10(function_inverse(sK1))))
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f448,f109]) ).
fof(f448,plain,
( sK10(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK10(function_inverse(sK1))))
| ~ relation(sK1)
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f447,f110]) ).
fof(f447,plain,
( sK10(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK10(function_inverse(sK1))))
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f439,f111]) ).
fof(f439,plain,
( sK10(function_inverse(sK1)) = apply(sK1,apply(function_inverse(sK1),sK10(function_inverse(sK1))))
| ~ one_to_one(sK1)
| ~ function(sK1)
| ~ relation(sK1)
| ~ spl14_4 ),
inference(resolution,[],[f429,f113]) ).
fof(f429,plain,
( in(sK10(function_inverse(sK1)),relation_rng(sK1))
| ~ spl14_4 ),
inference(backward_demodulation,[],[f263,f425]) ).
fof(f263,plain,
( in(sK10(function_inverse(sK1)),relation_dom(function_inverse(sK1)))
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl14_4
<=> in(sK10(function_inverse(sK1)),relation_dom(function_inverse(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f147,plain,
! [X0] :
( sK9(X0) != sK10(X0)
| one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f264,plain,
( ~ spl14_2
| spl14_4
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f259,f236,f261,f240]) ).
fof(f259,plain,
( in(sK10(function_inverse(sK1)),relation_dom(function_inverse(sK1)))
| ~ function(function_inverse(sK1))
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f253,f237]) ).
fof(f253,plain,
( in(sK10(function_inverse(sK1)),relation_dom(function_inverse(sK1)))
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1)) ),
inference(resolution,[],[f145,f112]) ).
fof(f145,plain,
! [X0] :
( one_to_one(X0)
| in(sK10(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f258,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| spl14_2 ),
inference(subsumption_resolution,[],[f256,f109]) ).
fof(f256,plain,
( ~ relation(sK1)
| spl14_2 ),
inference(subsumption_resolution,[],[f254,f110]) ).
fof(f254,plain,
( ~ function(sK1)
| ~ relation(sK1)
| spl14_2 ),
inference(resolution,[],[f242,f128]) ).
fof(f242,plain,
( ~ function(function_inverse(sK1))
| spl14_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f252,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f250,f109]) ).
fof(f250,plain,
( ~ relation(sK1)
| spl14_1 ),
inference(subsumption_resolution,[],[f248,f110]) ).
fof(f248,plain,
( ~ function(sK1)
| ~ relation(sK1)
| spl14_1 ),
inference(resolution,[],[f238,f127]) ).
fof(f238,plain,
( ~ relation(function_inverse(sK1))
| spl14_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f247,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_3 ),
inference(avatar_split_clause,[],[f234,f244,f240,f236]) ).
fof(f234,plain,
( in(sK9(function_inverse(sK1)),relation_dom(function_inverse(sK1)))
| ~ function(function_inverse(sK1))
| ~ relation(function_inverse(sK1)) ),
inference(resolution,[],[f144,f112]) ).
fof(f144,plain,
! [X0] :
( one_to_one(X0)
| in(sK9(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n008.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 : Fri May 3 11:48:27 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.HQgwq86rBI/Vampire---4.8_20521
% 0.57/0.75 % (20866)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (20864)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (20871)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (20867)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (20869)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (20870)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (20871)Refutation not found, incomplete strategy% (20871)------------------------------
% 0.57/0.75 % (20871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (20871)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (20871)Memory used [KB]: 975
% 0.57/0.75 % (20871)Time elapsed: 0.003 s
% 0.57/0.75 % (20871)Instructions burned: 2 (million)
% 0.57/0.75 % (20865)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (20871)------------------------------
% 0.57/0.75 % (20871)------------------------------
% 0.57/0.75 % (20869)Refutation not found, incomplete strategy% (20869)------------------------------
% 0.57/0.75 % (20869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (20869)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (20869)Memory used [KB]: 974
% 0.57/0.75 % (20869)Time elapsed: 0.005 s
% 0.57/0.75 % (20869)Instructions burned: 2 (million)
% 0.57/0.75 % (20869)------------------------------
% 0.57/0.75 % (20869)------------------------------
% 0.57/0.75 % (20864)Refutation not found, incomplete strategy% (20864)------------------------------
% 0.57/0.75 % (20864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (20864)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (20864)Memory used [KB]: 1065
% 0.57/0.75 % (20864)Time elapsed: 0.006 s
% 0.57/0.75 % (20864)Instructions burned: 6 (million)
% 0.57/0.75 % (20868)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (20864)------------------------------
% 0.57/0.75 % (20864)------------------------------
% 0.60/0.75 % (20866)First to succeed.
% 0.60/0.76 % (20868)Refutation not found, incomplete strategy% (20868)------------------------------
% 0.60/0.76 % (20868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (20868)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (20868)Memory used [KB]: 1132
% 0.60/0.76 % (20868)Time elapsed: 0.004 s
% 0.60/0.76 % (20868)Instructions burned: 6 (million)
% 0.60/0.76 % (20868)------------------------------
% 0.60/0.76 % (20868)------------------------------
% 0.60/0.76 % (20866)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20776"
% 0.60/0.76 % (20866)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (20866)------------------------------
% 0.60/0.76 % (20866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (20866)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (20866)Memory used [KB]: 1212
% 0.60/0.76 % (20866)Time elapsed: 0.011 s
% 0.60/0.76 % (20866)Instructions burned: 25 (million)
% 0.60/0.76 % (20776)Success in time 0.39 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------