TSTP Solution File: SEU048+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU048+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 03:44:34 EDT 2024
% Result : Theorem 1.09s 0.97s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 86 ( 7 unt; 0 def)
% Number of atoms : 363 ( 52 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 499 ( 222 ~; 222 |; 27 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 89 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2064,plain,
$false,
inference(avatar_sat_refutation,[],[f463,f492,f562,f2063]) ).
fof(f2063,plain,
( ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(avatar_contradiction_clause,[],[f2062]) ).
fof(f2062,plain,
( $false
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f2061,f133]) ).
fof(f133,plain,
~ one_to_one(relation_rng_restriction(sK15,sK16)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_funct_1) ).
fof(f2061,plain,
( one_to_one(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f2060,f453]) ).
fof(f453,plain,
( relation(relation_rng_restriction(sK15,sK16))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl17_3
<=> relation(relation_rng_restriction(sK15,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f2060,plain,
( ~ relation(relation_rng_restriction(sK15,sK16))
| one_to_one(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f2059,f461]) ).
fof(f461,plain,
( function(relation_rng_restriction(sK15,sK16))
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl17_5
<=> function(relation_rng_restriction(sK15,sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f2059,plain,
( ~ function(relation_rng_restriction(sK15,sK16))
| ~ relation(relation_rng_restriction(sK15,sK16))
| one_to_one(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(trivial_inequality_removal,[],[f2058]) ).
fof(f2058,plain,
( sK0(relation_rng_restriction(sK15,sK16)) != sK0(relation_rng_restriction(sK15,sK16))
| ~ function(relation_rng_restriction(sK15,sK16))
| ~ relation(relation_rng_restriction(sK15,sK16))
| one_to_one(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(superposition,[],[f78,f2036]) ).
fof(f2036,plain,
( sK0(relation_rng_restriction(sK15,sK16)) = sK1(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f2035,f702]) ).
fof(f702,plain,
( in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f701,f130]) ).
fof(f130,plain,
relation(sK16),
inference(cnf_transformation,[],[f69]) ).
fof(f701,plain,
( in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f693,f131]) ).
fof(f131,plain,
function(sK16),
inference(cnf_transformation,[],[f69]) ).
fof(f693,plain,
( ~ function(sK16)
| in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| ~ spl17_4 ),
inference(resolution,[],[f458,f147]) ).
fof(f147,plain,
! [X2,X0,X4] :
( ~ in(X4,relation_dom(relation_rng_restriction(X0,X2)))
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f146,f88]) ).
fof(f88,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f146,plain,
! [X2,X0,X4] :
( ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(subsumption_resolution,[],[f137,f79]) ).
fof(f79,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f137,plain,
! [X2,X0,X4] :
( ~ relation(relation_rng_restriction(X0,X2))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(relation_rng_restriction(X0,X2))) ),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X2,X0,X1,X4] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f458,plain,
( in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl17_4
<=> in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f2035,plain,
( ~ in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| sK0(relation_rng_restriction(sK15,sK16)) = sK1(relation_rng_restriction(sK15,sK16))
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(equality_resolution,[],[f1888]) ).
fof(f1888,plain,
( ! [X0] :
( apply(sK16,sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0 )
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1887,f130]) ).
fof(f1887,plain,
( ! [X0] :
( apply(sK16,sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ relation(sK16) )
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1886,f458]) ).
fof(f1886,plain,
( ! [X0] :
( apply(sK16,sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1884,f131]) ).
fof(f1884,plain,
( ! [X0] :
( apply(sK16,sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ function(sK16)
| ~ in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(superposition,[],[f1816,f141]) ).
fof(f141,plain,
! [X2,X3,X0] :
( apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| ~ relation(X2) ),
inference(subsumption_resolution,[],[f140,f88]) ).
fof(f140,plain,
! [X2,X3,X0] :
( ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3) ),
inference(subsumption_resolution,[],[f134,f79]) ).
fof(f134,plain,
! [X2,X3,X0] :
( ~ relation(relation_rng_restriction(X0,X2))
| ~ function(relation_rng_restriction(X0,X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(relation_rng_restriction(X0,X2)))
| apply(X2,X3) = apply(relation_rng_restriction(X0,X2),X3) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X3,relation_dom(X1))
| apply(X2,X3) = apply(X1,X3)
| relation_rng_restriction(X0,X2) != X1 ),
inference(cnf_transformation,[],[f66]) ).
fof(f1816,plain,
( ! [X0] :
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0 )
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1815,f132]) ).
fof(f132,plain,
one_to_one(sK16),
inference(cnf_transformation,[],[f69]) ).
fof(f1815,plain,
( ! [X0] :
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ one_to_one(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1814,f130]) ).
fof(f1814,plain,
( ! [X0] :
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| ~ relation(sK16)
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ one_to_one(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1813,f974]) ).
fof(f974,plain,
( in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f973,f130]) ).
fof(f973,plain,
( in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f964,f131]) ).
fof(f964,plain,
( ~ function(sK16)
| in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| ~ spl17_3
| ~ spl17_5 ),
inference(resolution,[],[f954,f147]) ).
fof(f954,plain,
( in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f953,f453]) ).
fof(f953,plain,
( in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(relation_rng_restriction(sK15,sK16))
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f951,f461]) ).
fof(f951,plain,
( ~ function(relation_rng_restriction(sK15,sK16))
| in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(relation_rng_restriction(sK15,sK16)) ),
inference(resolution,[],[f76,f133]) ).
fof(f76,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| in(sK1(X0),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f1813,plain,
( ! [X0] :
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ in(X0,relation_dom(sK16))
| ~ in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ one_to_one(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1811,f131]) ).
fof(f1811,plain,
( ! [X0] :
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) != apply(sK16,X0)
| ~ function(sK16)
| ~ in(X0,relation_dom(sK16))
| ~ in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(sK16))
| ~ relation(sK16)
| sK1(relation_rng_restriction(sK15,sK16)) = X0
| ~ one_to_one(sK16) )
| ~ spl17_3
| ~ spl17_5 ),
inference(superposition,[],[f74,f1457]) ).
fof(f1457,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(sK16,sK1(relation_rng_restriction(sK15,sK16)))
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1456,f130]) ).
fof(f1456,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(sK16,sK1(relation_rng_restriction(sK15,sK16)))
| ~ relation(sK16)
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1455,f954]) ).
fof(f1455,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(sK16,sK1(relation_rng_restriction(sK15,sK16)))
| ~ in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(sK16)
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1447,f131]) ).
fof(f1447,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(sK16,sK1(relation_rng_restriction(sK15,sK16)))
| ~ function(sK16)
| ~ in(sK1(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(sK16)
| ~ spl17_3
| ~ spl17_5 ),
inference(superposition,[],[f141,f1376]) ).
fof(f1376,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(relation_rng_restriction(sK15,sK16),sK1(relation_rng_restriction(sK15,sK16)))
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1375,f453]) ).
fof(f1375,plain,
( apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(relation_rng_restriction(sK15,sK16),sK1(relation_rng_restriction(sK15,sK16)))
| ~ relation(relation_rng_restriction(sK15,sK16))
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1373,f461]) ).
fof(f1373,plain,
( ~ function(relation_rng_restriction(sK15,sK16))
| apply(relation_rng_restriction(sK15,sK16),sK0(relation_rng_restriction(sK15,sK16))) = apply(relation_rng_restriction(sK15,sK16),sK1(relation_rng_restriction(sK15,sK16)))
| ~ relation(relation_rng_restriction(sK15,sK16)) ),
inference(resolution,[],[f77,f133]) ).
fof(f77,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X2,X0,X1] :
( apply(X0,X1) != apply(X0,X2)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| ~ relation(X0)
| X1 = X2
| ~ one_to_one(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f78,plain,
! [X0] :
( sK0(X0) != sK1(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f562,plain,
spl17_3,
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| spl17_3 ),
inference(subsumption_resolution,[],[f559,f130]) ).
fof(f559,plain,
( ~ relation(sK16)
| spl17_3 ),
inference(resolution,[],[f454,f79]) ).
fof(f454,plain,
( ~ relation(relation_rng_restriction(sK15,sK16))
| spl17_3 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f492,plain,
spl17_5,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| spl17_5 ),
inference(subsumption_resolution,[],[f490,f130]) ).
fof(f490,plain,
( ~ relation(sK16)
| spl17_5 ),
inference(subsumption_resolution,[],[f488,f131]) ).
fof(f488,plain,
( ~ function(sK16)
| ~ relation(sK16)
| spl17_5 ),
inference(resolution,[],[f462,f88]) ).
fof(f462,plain,
( ~ function(relation_rng_restriction(sK15,sK16))
| spl17_5 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,plain,
( ~ spl17_3
| spl17_4
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f450,f460,f456,f452]) ).
fof(f450,plain,
( ~ function(relation_rng_restriction(sK15,sK16))
| in(sK0(relation_rng_restriction(sK15,sK16)),relation_dom(relation_rng_restriction(sK15,sK16)))
| ~ relation(relation_rng_restriction(sK15,sK16)) ),
inference(resolution,[],[f75,f133]) ).
fof(f75,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| in(sK0(X0),relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU048+1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.37 % Computer : n016.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun May 19 16:14:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88 % (2314)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.71/0.88 % (2312)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 theBenchmark for (2995ds/34Mi)
% 0.71/0.88 % (2313)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 theBenchmark for (2995ds/51Mi)
% 0.71/0.88 % (2315)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.71/0.88 % (2316)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 theBenchmark for (2995ds/34Mi)
% 0.71/0.88 % (2317)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.71/0.88 % (2318)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 theBenchmark for (2995ds/83Mi)
% 0.71/0.88 % (2319)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.71/0.88 % (2317)Refutation not found, incomplete strategy% (2317)------------------------------
% 0.71/0.88 % (2317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88 % (2317)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88
% 0.71/0.88 % (2317)Memory used [KB]: 973
% 0.71/0.88 % (2317)Time elapsed: 0.003 s
% 0.71/0.88 % (2317)Instructions burned: 2 (million)
% 0.71/0.88 % (2317)------------------------------
% 0.71/0.88 % (2317)------------------------------
% 0.71/0.88 % (2319)Refutation not found, incomplete strategy% (2319)------------------------------
% 0.71/0.88 % (2319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.88 % (2319)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.88
% 0.71/0.88 % (2319)Memory used [KB]: 974
% 0.71/0.88 % (2319)Time elapsed: 0.002 s
% 0.71/0.88 % (2319)Instructions burned: 2 (million)
% 0.71/0.88 % (2319)------------------------------
% 0.71/0.88 % (2319)------------------------------
% 0.71/0.88 % (2320)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.71/0.88 % (2321)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.71/0.89 % (2315)Instruction limit reached!
% 0.71/0.89 % (2315)------------------------------
% 0.71/0.89 % (2315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89 % (2315)Termination reason: Unknown
% 0.71/0.89 % (2315)Termination phase: Saturation
% 0.71/0.89
% 0.71/0.89 % (2315)Memory used [KB]: 1324
% 0.71/0.89 % (2315)Time elapsed: 0.017 s
% 0.71/0.89 % (2315)Instructions burned: 33 (million)
% 0.71/0.89 % (2315)------------------------------
% 0.71/0.89 % (2315)------------------------------
% 0.71/0.89 % (2312)Instruction limit reached!
% 0.71/0.89 % (2312)------------------------------
% 0.71/0.89 % (2312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.89 % (2312)Termination reason: Unknown
% 0.71/0.89 % (2312)Termination phase: Saturation
% 0.71/0.89
% 0.71/0.89 % (2312)Memory used [KB]: 1206
% 0.71/0.89 % (2312)Time elapsed: 0.018 s
% 0.71/0.89 % (2312)Instructions burned: 35 (million)
% 0.71/0.89 % (2312)------------------------------
% 0.71/0.89 % (2312)------------------------------
% 0.71/0.90 % (2316)Instruction limit reached!
% 0.71/0.90 % (2316)------------------------------
% 0.71/0.90 % (2316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (2316)Termination reason: Unknown
% 0.71/0.90 % (2316)Termination phase: Saturation
% 0.71/0.90
% 0.71/0.90 % (2316)Memory used [KB]: 1391
% 0.71/0.90 % (2316)Time elapsed: 0.020 s
% 0.71/0.90 % (2316)Instructions burned: 34 (million)
% 0.71/0.90 % (2316)------------------------------
% 0.71/0.90 % (2316)------------------------------
% 0.71/0.90 % (2322)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.71/0.90 % (2323)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.71/0.90 % (2324)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.71/0.90 % (2324)Refutation not found, incomplete strategy% (2324)------------------------------
% 0.71/0.90 % (2324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.90 % (2324)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.90
% 0.71/0.90 % (2324)Memory used [KB]: 1120
% 0.71/0.90 % (2324)Time elapsed: 0.004 s
% 0.71/0.90 % (2324)Instructions burned: 5 (million)
% 0.71/0.90 % (2324)------------------------------
% 0.71/0.90 % (2324)------------------------------
% 0.71/0.91 % (2325)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.71/0.91 % (2321)Instruction limit reached!
% 0.71/0.91 % (2321)------------------------------
% 0.71/0.91 % (2321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (2321)Termination reason: Unknown
% 0.71/0.91 % (2321)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (2321)Memory used [KB]: 1465
% 0.71/0.91 % (2321)Time elapsed: 0.027 s
% 0.71/0.91 % (2321)Instructions burned: 50 (million)
% 0.71/0.91 % (2321)------------------------------
% 0.71/0.91 % (2321)------------------------------
% 0.71/0.91 % (2313)Instruction limit reached!
% 0.71/0.91 % (2313)------------------------------
% 0.71/0.91 % (2313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (2313)Termination reason: Unknown
% 0.71/0.91 % (2313)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (2313)Memory used [KB]: 1522
% 0.71/0.91 % (2313)Time elapsed: 0.033 s
% 0.71/0.91 % (2313)Instructions burned: 51 (million)
% 0.71/0.91 % (2313)------------------------------
% 0.71/0.91 % (2313)------------------------------
% 0.71/0.91 % (2326)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.71/0.91 % (2327)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.71/0.91 % (2318)Instruction limit reached!
% 0.71/0.91 % (2318)------------------------------
% 0.71/0.91 % (2318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (2320)Instruction limit reached!
% 0.71/0.91 % (2320)------------------------------
% 0.71/0.91 % (2320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91 % (2320)Termination reason: Unknown
% 0.71/0.91 % (2320)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (2320)Memory used [KB]: 1640
% 0.71/0.91 % (2320)Time elapsed: 0.032 s
% 0.71/0.91 % (2320)Instructions burned: 56 (million)
% 0.71/0.91 % (2320)------------------------------
% 0.71/0.91 % (2320)------------------------------
% 0.71/0.91 % (2318)Termination reason: Unknown
% 0.71/0.91 % (2318)Termination phase: Saturation
% 0.71/0.91
% 0.71/0.91 % (2318)Memory used [KB]: 1280
% 0.71/0.91 % (2318)Time elapsed: 0.037 s
% 0.71/0.91 % (2318)Instructions burned: 84 (million)
% 0.71/0.91 % (2318)------------------------------
% 0.71/0.91 % (2318)------------------------------
% 0.71/0.92 % (2328)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.71/0.92 % (2329)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.71/0.93 % (2314)Instruction limit reached!
% 0.71/0.93 % (2314)------------------------------
% 0.71/0.93 % (2314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.93 % (2314)Termination reason: Unknown
% 0.71/0.93 % (2314)Termination phase: Saturation
% 0.71/0.93
% 0.71/0.93 % (2314)Memory used [KB]: 1746
% 0.71/0.93 % (2314)Time elapsed: 0.049 s
% 0.71/0.93 % (2314)Instructions burned: 78 (million)
% 0.71/0.93 % (2314)------------------------------
% 0.71/0.93 % (2314)------------------------------
% 0.71/0.93 % (2323)Instruction limit reached!
% 0.71/0.93 % (2323)------------------------------
% 0.71/0.93 % (2323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.93 % (2323)Termination reason: Unknown
% 0.71/0.93 % (2323)Termination phase: Saturation
% 0.71/0.93
% 0.71/0.93 % (2323)Memory used [KB]: 1619
% 0.71/0.93 % (2323)Time elapsed: 0.033 s
% 0.71/0.93 % (2323)Instructions burned: 53 (million)
% 0.71/0.93 % (2323)------------------------------
% 0.71/0.93 % (2323)------------------------------
% 0.71/0.93 % (2330)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.71/0.93 % (2325)Instruction limit reached!
% 0.71/0.93 % (2325)------------------------------
% 0.71/0.93 % (2325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.93 % (2325)Termination reason: Unknown
% 0.71/0.93 % (2325)Termination phase: Saturation
% 0.71/0.93
% 0.71/0.93 % (2325)Memory used [KB]: 1450
% 0.71/0.93 % (2325)Time elapsed: 0.026 s
% 0.71/0.93 % (2325)Instructions burned: 42 (million)
% 0.71/0.93 % (2325)------------------------------
% 0.71/0.93 % (2325)------------------------------
% 0.71/0.93 % (2331)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.71/0.93 % (2332)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 1.03/0.95 % (2331)Instruction limit reached!
% 1.03/0.95 % (2331)------------------------------
% 1.03/0.95 % (2331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.95 % (2331)Termination reason: Unknown
% 1.03/0.95 % (2331)Termination phase: Saturation
% 1.03/0.95
% 1.03/0.95 % (2331)Memory used [KB]: 1370
% 1.03/0.95 % (2331)Time elapsed: 0.022 s
% 1.03/0.95 % (2331)Instructions burned: 33 (million)
% 1.03/0.95 % (2331)------------------------------
% 1.03/0.95 % (2331)------------------------------
% 1.03/0.96 % (2333)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 1.03/0.96 % (2330)Instruction limit reached!
% 1.03/0.96 % (2330)------------------------------
% 1.03/0.96 % (2330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.96 % (2330)Termination reason: Unknown
% 1.03/0.96 % (2330)Termination phase: Saturation
% 1.03/0.96
% 1.03/0.96 % (2330)Memory used [KB]: 2116
% 1.03/0.96 % (2330)Time elapsed: 0.037 s
% 1.03/0.96 % (2330)Instructions burned: 62 (million)
% 1.03/0.96 % (2330)------------------------------
% 1.03/0.96 % (2330)------------------------------
% 1.03/0.97 % (2329)First to succeed.
% 1.03/0.97 % (2329)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2279"
% 1.09/0.97 % (2334)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 1.09/0.97 % (2329)Refutation found. Thanks to Tanya!
% 1.09/0.97 % SZS status Theorem for theBenchmark
% 1.09/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 1.09/0.97 % (2329)------------------------------
% 1.09/0.97 % (2329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.09/0.97 % (2329)Termination reason: Refutation
% 1.09/0.97
% 1.09/0.97 % (2329)Memory used [KB]: 1519
% 1.09/0.97 % (2329)Time elapsed: 0.052 s
% 1.09/0.97 % (2329)Instructions burned: 87 (million)
% 1.09/0.97 % (2279)Success in time 0.577 s
% 1.09/0.97 % Vampire---4.8 exiting
%------------------------------------------------------------------------------